Martha made 3 birthday cards, and she wants to make more. If she makes 5 cards an hour, how many cards will she have after 6 hours? REMEMBER TO ADD THE ORIGINAL 3 TO THE NUMBER SHE MAKES IN 6 HOURS. ANSWER WITHOUT UNITS.

Answers

Answer 1

Answer:

33

Step-by-step explanation:

just multiply 5*6 and add three to the result

Answer 2

Answer:

33

Step-by-step explanation:

Every hour she makes 5 cards, and she makes them for 6 hours so you need to multiply 6 with 5 to get 30, then add up the 3 she made earlier...33 :D


Related Questions

The 53 students go to a nearby Italian restaurant for lunch. Each table holds 5 people. How many tables will the group need

Answers

Answer:

They will need 11 tables

Step-by-step explanation:

The first 10 will seat 5, the 11th will seat the final 3.

Answer:

The group will need 11 tables.

Step-by-step explanation:

Think: How many times does 5 go into 53?

We know that 5 goes into 50, 10 times. The extra 3 students must sit at a seperate table. That means they need 10 tables plus another. Therefore, the group will need 11 tables.

HELP PLZ I DONT GET THIS AGT ALL I SUCK AT MATH :( I REALLY NEED HELP CAN SOMEONE HELP PLZ

Answers

Answer:

£94

Step-by-step explanation:

Basically, we want to find the surface area of this cylinder.

The surface area of a cylinder is denoted by: A = 2πr² + 2πrh, where r is the radius and h is the height. However, note that the farmer only wants to paint the curved surface of the cylinder, so we don't want to include the 2πr² part that accounts for the two circular bases. Instead, we actually just want to find the value of 2πrh.

Here, we see that the diameter is 8 metres, so since the radius is half the diameter, we know that r = 8/2 = 4 metres.

We also see that the height is 6 metres, so h = 6.

Plug these numbers in:

2πrh

2π * 4 * 6 = 48π ≈ 150.8 m²

We see that each can of paint will cover 20 m², so divide 150.8 by 20 to find the number of cans we need:

150.8 ÷ 20 = 7.5 ≈ 8 cans

Each can costs £11.75, so multiply 8 by 11.75 to get the total cost:

11.75 * 8 = £94

The answer is £94.

Answer:

94 euros is the answer, plez mark as brainliest ty big brain man

Step-by-step explanation:

Benjamin started her walk from the front door of her ground floor apartment. She walked 6 meters to the corner of the building and then turned the corner and walked 10 meters to her friend's apartment.

Answers

Answer:

4 meters. 

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position. 

So, the total distance Benjamin walked is 10m + 6m = 16m 

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters. 

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

Which number is a common factor of 116 and 40

Answers

Answer:

4

Step-by-step explanation:

[tex]116 = 2 \times 2 \times 29 \\ 40 = 2 \times 2 \times 2 \times 5 \\ common \: factors = 2 \: \: 2 \\ common \: factors \: of \: 116 \: and \: 40 \\ = 2 \times 2 = 4[/tex]

The numbers 116 and 40 share common factors of 1, 2, and 4, with 4 being their greatest common factor.

The common factor of 116 and 40 can be found by identifying the numbers that divide both without leaving a remainder. To do so, we factorize both numbers:

116 = 2 x 2 x 29 = 2² x 2940 = 2 x 2 x 2 x 5 = 2³ x 5

Next, we find the common factors by looking at the prime factors they share. Both numbers have the prime number 2 as a factor. The highest power of 2 that divides both numbers is 2², which is 4. Therefore, the greatest common factor (GCF) is 4. However, since we are looking for a common factor, not necessarily the greatest, 2 and 1 are also common factors of 116 and 40.

Answer the following questions about the problem above. Write in complete sentences to get full credit.

1. What is the slope for section "b" of Mrs. Washington's commute.

2. What is the slope for section "c" of Mrs Washington's commute?

3. Explain the difference in "b" and "c" in context of Mrs. Washing driving home.

4. How far does Mrs. Washington live from her work?

Answers

Answer:

1. -1

2. -1/4

3. As the line nears closer to y = 0, Mrs. Washington is getting closer to her house. As such, the line represents miles driven per minute, representing speed. As the slope of the line becomes steeper, as it does during section B of the commute, Mrs. Washington is driving one mile per minute, or 60 miles per hour. As she drives through section C, she only drove 1 mile after 4 minutes, or 15 miles per hour.

4. She lives 20 miles from her office.

Step-by-step explanation:

1. You can find the slope for section B of the commute by taking two points in section B and using them to find the slope.

I will take (10, 13) and (14, 9) as my points.

You can use [tex]\frac{y2-y1}{x2-x1}[/tex] to find the slope:

[tex]\frac{13-9}{10-14} \\\\\frac{4}{-4}[/tex]

The slope for section b is -1.

2. You can find the slope for section C using the same method.

I will use the points (16, 7) and (20, 6):

[tex]\frac{7-6}{16-20} \\\\\frac{1}{-4}[/tex]

The slope for section c is -1/4.

3. As the line nears closer to y = 0, Mrs. Washington is getting closer to her house. As such, the line represents miles driven per minute, representing speed. As the slope of the line becomes steeper, as it does during section B of the commute, Mrs. Washington is driving one mile per minute, or 60 miles per hour. As she drives through section C, she only drove 1 mile after 4 minutes, or 15 miles per hour.

4. She lives 20 miles from her office. This is stated in the question itself.

Answer:

1. Speed = 1 mph

2. ¼ mph

3. She's driving at 4 times faster speed in b than c

4. 20 miles

Step-by-step explanation:

1. Slope of a distance time graph is the speed

(15-7)/(16-8)

8/8

1 mph

2. Speed = (7-6)/(20-16)

1/4 mph

3. Speed in b is greater than c

1 = 4(¼)

4. Distance from 20 to 0, is 20 miles

which set is closed under subtraction?

Answers

Answer:

The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false.

Step-by-step explanation:

Write
44
51
in lowest terms

Answers

Answer:44=11/25 and 51=then its 51/100

Step-by-step explanation:if its frcations.hope it helps.

Answer:

44/51

Step-by-step explanation:

What is the scale factor in the dilation?

Answers

Nzjsjzjzjxisksnxhhxjdbsnskxkxn

Rachel deposited $3000 in an account in the Merrick National Bank, earning 1.5% interest, compounded monthly. She made no deposits or withdrawals. Which equation can be used to find A, her account balance after t years?

Answers

Answer:

The expression that should be used to find her ballance over the years is "A = 3000*(1.125)^(12*t)".

Step-by-step explanation:

We can use the compounded interest formula to calculate her balance over t years. The formula is shown below:

A = C*(1 + r/n)^(n*t)

Where A is the final value, C is the initial value, r is the interest rate, n is the rate at which the account is compounded over a year and t is the total elapsed time in years. Applying the data from the problem we have:

A = 3000*(1 + 1.5/12)^(12*t)

A = 3000*(1 + 0.125)^(12*t)

A = 3000*(1.125)^(12*t)

Please answer i will mark brainliest Plato stores his Pokémon cards in a shoe box measuring eight inches by 14 inches by six
inches. Socrates stores his Magic cards in a cake box measuring one foot by one foot by
five inches. Whose container has the greater capacity?

Answers

Answer:

Socrates' box is 48 sq inches larger than Plato's.

Step-by-step explanation:

14x8x6=672

12x12x5=720

happy to help ya :)

Anyone know how to go this ?

Answers

Answer:

the first one

P= 34

A= 66

----------------------------

the second one

P= 40

A= 120

----------------------------

the third one

P= 40

A= 81

the fourth one

if that's a 4

P= 12

if that's a 9

P=27

A=?

What is the size of the angle, below?

Answers

Final answer:

To find the size of an angle, one can use the small-angle approximation, which for small angles allows one to estimate the angle based on linear size and distance when measured in radians. The thumb method suggests a thumb at arm's length subtends an angle of 1 degree.

Explanation:

To address the question about the size of a given angle, we must consider several mathematical concepts related to angles and their measurement. A key method of estimating angles involves using the small-angle approximation, which relates the linear size of an object to its angular size when viewed from a certain distance.

This approximation states that for small angles, the tangent of the angle is approximately equal to the angle itself when measured in radians. If we know the approximate width of an object, such as a thumb (1 cm) and use a comfortable viewing distance, Lo (\u2248 25 cm), we can estimate the angular size using this relationship.

The size of an angle can be described using different units, primarily degrees, arcminutes, and arcseconds, or radians. As part of learning about angles, students are taught to convert between these units. Given the question's context, if a thumb is estimated to subtend an angle of 1 degree at arm's length, we would have a straightforward method to approximate the angle's size through observation.

Which of the following is the coordinate for the image of point M(3, –7) after a 90° clockwise rotation? a.)M’(–7, –3) b.)M’(7, –3) c.)M’(7, 3) d.)M’(–7, 3)

Answers

M,(-7, -3)

Step-by-step explanation:

Answer:

M,(-7, -3)  i took the quiz liker 5 seconds ago

1. Kenneth bought 315 packages of cookies. Each package had 64 cookies. How many cookies
did Kenneth buy?​

Answers

Answer:

20160

Step-by-step explanation:

315*64 = 20160

Final answer:

To find the total number of cookies Kenneth bought, you multiply the number of packages (315) by the number of cookies in each package (64). This results to 20160 cookies.

Explanation:

This question involves a simple multiplication operation. When Kenneth buys 315 packages of cookies and each package contains 64 cookies, to find the total number of cookies Kenneth bought, you need to multiply the number of packages by the number of cookies in each package. So, we have 315 (packages) x 64 (cookies per package).

The equation is: 315 x 64 = 20160.

Therefore, Kenneth bought a total of 20160 cookies.

Learn more about Multiplication here:

https://brainly.com/question/35502092

#SPJ3

Popular culture may include changing trends in all of the following categories except __________. A. clothing styles B. history C. music D. art

Answers

Answer:

B. History

Step-by-step explanation:

Because cultures have certain clothing styles on cations, they listen to one or more types of music in certain lands, and they have art that is so pretty.

Popular culture may include changing trends in all of the following categories except history. Then the correct option is B.

What is history?

History is the study of an event that is done in the past.

Examples - The British empire, Hitler's torture, world wars, political interference, etc.

Popular culture may include changing trends in all of the following categories except history.

Thus, the correct option is B.

More about the history link is given below.

https://brainly.com/question/3583505

#SPJ2

Según la reacción de abajo, ?Cuantos gramos ácido sulfhídrico se desprenden, cuando reaccionan completamente 5 moles de sulfuro niquélico? Los pesos atómicos son: Ni: 58.7 uma, S: 32 uma, O: 16 uma, H: 1 uma


Ni2S3 + 6 H2O ---> 2 Ni(OH)3 + 3 H2S

Answers

Answer:

510g H2S

Step-by-step explanation:

En esta pregunta, se nos pide calcular la masa de H2S emitida cuando 5 moles de sulfuro de níquel reaccionan completamente con el agua.

De la ecuación equilibrada, podemos ver que 1 mol de sulfuro de níquel produjo 3 moles de sulfuro de hidrógeno Por lo tanto, 5 moles de sulfuro de níquel producirán = 5 * 3 moles = 15 moles de sulfuro de hidrógeno

Matemáticamente, la masa se puede calcular multiplicando el número de moles por masa molar La masa molar de H2S es 2 (1) + 32 = 34 g / mol La masa en gramos así producida = 15 mol * 34g / mol = 510g

The owner of the Rancho Grande has 3,060 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions (in yd) of the largest area he can enclose?

Answers

Answer:

1170450 yd^2

Step-by-step explanation:

The first thing is to calculate the necessary perimeter, which would be like this:

2 * a + b = 3060

if we solve for b, we are left with:

b = 3060-2 * a

Now for the area it would be:

A = a * b = a * (3060-2 * a )

A = 3060 * a -2 * a ^ 2

To maximize the area, we calculate the derivative with respect to "a":

dA / da = d [3060 * a -2 * a ^ 2

]/gives

dA / day = 3060 - 4 * a

If we equal 0:

0 = 3060 - 4 * a

4 * a = 3060

a = 3060/4

a = 765 and d

Therefore b:

b = 3060 - 2 * a = 3060 - 1530 = 1530

A = a * b

A = 765 * 1530

A = 1170450 and d ^ 2

Final answer:

To find the largest area the owner of the Rancho Grande can enclose, we set up an equation using the perimeter of the rectangular land and the available fencing. By solving the equation and finding the maximum point of a quadratic equation, we determine that the dimensions of the largest area are L = 765 yd and W = 1,530 yd.

Explanation:

To find the dimensions of the largest area the owner of the Rancho Grande can enclose, we need to consider that the rectangular grazing land is situated along the straight portion of a river. Since fencing is not required along the river, the owner can use the available fencing to enclose the other three sides of the rectangular piece of land.

Let's assume the length of the rectangular piece of land is L and the width is W.

Since there are three sides that require fencing, the perimeter of the rectangular piece of land is given by:
P = L + W + L = 2L + W

According to the information provided, the owner has 3,060 yd of fencing available. Therefore, we can write the equation:

2L + W = 3,060

To maximize the area, we need to solve this equation for one variable and substitute it back into the area formula, A = L * W. Let's solve for L:

2L = 3,060 - W
L = (3,060 - W)/2
Substituting L in the area formula:
A = ((3,060 - W)/2) * W

Finally, we can maximize the area by finding the maximum point of the quadratic equation:

A = -0.5W^2 + 1,530W

The maximum point of a quadratic equation in the form A = ax^2 + bx + c occurs at x = -b/2a.

Comparing the quadratic equation to A = -0.5W^2 + 1,530W, we have:
a = -0.5
b = 1,530

Substituting these values into x = -b/2a:
W = -1,530 / (2 * -0.5)

Calculating W:
W = 1,530 / 1
W = 1,530

Now, substituting W back into the equation for L:
L = (3,060 - 1,530) / 2
L = 1,530 / 2
L = 765

Therefore, the dimensions of the largest area the owner of the Rancho Grande can enclose are L = 765 yd and W = 1,530 yd.

Laney builds a tower with wooden cubes. The bottom cube's edges are 8 centimeters long. The middle cube's edges are 2 centimeters shorter than the bottom cube. The top cube's edges are 2 centimeters shorter than the middle cube. What is the total volume of the cubes in the tower?

Answers

Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)

Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;

Volume = L³

The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;

VB = 8³

VB = 512 cm³

The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;

VM = L³

VM = 6³

VM = 216 cm³

The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;

VT = L³

VT = 4³

VT = 64

From the calculations shown, the total volume of the cubes in the tower is given as;

Total volume = VB + VM + VT

Total volume = 512 + 216 + 64

Total volume = 792 cm³

Total volume is 792 cubic centimetres.

Answer: The total volume of the cubes is 792 cm^3

Step-by-step explanation:

We have 3 cubes here.

And remember that the volume of a cube is equal to the length of one of the edges at the power of 3.

So for the bottom cube, we have that the edges are 8cm long, so the volume of this cube is:

V1 = 8cm^3 = 512cm^3

The edges of the next cube are 2cm shorter, so the edges are 6cm long.

Then the volume is:

V2 = 6cm^2 = 216cm^3

The top cube's edges are 2 cm shorter than the previous one, so the length of these edges is 4cm, then the volume is:

V3 = 4cm^3  = 64cm^3

Now, the total volume is equal to:

V = V1 + V2 + V3 = 512cm^3 + 216cm^3 + 64cm^3 = 792 cm^3

Ned scored 84 points in the first 6 games of the basketball season . How many points per game has Ned scored ?

Answers

Answer:

he scored 14 points per game :)

Step-by-step explanation:

The list shows the number of contacts six people each have stored in the their cell phone: 68, 72, 77, 64, 69, 76. What is the mean absolute deviation for this set of data? will mark brainliest if correct

a- 71

b- 24

c- 4

d- 13

Answers

The correct answer is C- 4

Final answer:

This answer explains how to calculate the Mean Absolute Deviation (MAD) for a given data set and determines the MAD for the provided set of numbers.

Explanation:

Mean Absolute Deviation (MAD) measures the average difference between each data point and the mean of the data set.

To calculate MAD:

Find the mean of the data set: (68 + 72 + 77 + 64 + 69 + 76) / 6 = 72.67

Find the absolute difference for each data point: |68 - 72.67|, |72 - 72.67|, |77 - 72.67|, |64 - 72.67|, |69 - 72.67|, |76 - 72.67|

Add up all the absolute differences and divide by the total number of data points: (4.67 + 0.67 + 4.33 + 8.67 + 3.67 + 3.33) / 6 = 4.67

The Mean Absolute Deviation for the given data set is 4.67. Therefore, option c- 4 is the correct answer.

Consider the following figure and find the value of v

Answers

These are the vertical anvles, so v=50°

There isn’t any work to show but v=50 degrees because they are vertical angles, meaning they are opposite of each other

Write the next two numbers in the sequence: 1, 2, 4, 8, 16...

Answers

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

32  , 64   ( geometric-sequence) when the common ratio is : 2

Allison's cinema has 100 seats. One day, Allison notices that her cinema is full, and she has taken exactly £100. The prices where: adult=£3.50, pensioner= £1, child=£0.85. she knows not everyone in the audience is a pensioner. Howmmany adults, children and pensioners where there?

Answers

Answer:

So starting with what we already know, £100 was paid in all, all 100 seats were taken. Adults pay £3.50, Children pay $0.85 and the Pensioners pay $1.00. I basicaly started off by trying it so all adults, children and pensioners are the exact same number. 33 adult tickets would cost them £115.50. Crossing that suggestion out; I tried again, but this time, with 3 adults, 50 children and the 47 that were left, i put as pensioners. So, now there is 100 people and this is kind of working out:

3 adults= £10.50, 50 children= £42.50, 47 pensioners= £47.00 Total £100

Step-by-step explanation:

As per the given data number of adults [tex]=3[/tex] , number of children [tex]= 50[/tex] and number of pensioner [tex]= 47[/tex].

What is number?

" Number is defined as the count of the given quantity."

According to the question,

Total number of seats [tex]=100[/tex]

Total amount of full seats [tex]= \£100[/tex]

Price of adult ticket [tex]= \£ 3.50[/tex]

Price of children ticket [tex]= \£ .85[/tex]

Price of adult ticket [tex]= \£ 1[/tex]

[tex]'x'[/tex]represents the number of adults

[tex]'y'[/tex] reprsents the number of children

[tex]'z'[/tex] represents the number of pensioner

As per given condition we have,

[tex]x + y + z = 100\\\\\£3.50x + \£0.85y + \£1z = \£ 100[/tex]

Using trial and error method we get,

[tex]x = 3 ,\\\\y= 50\\\\z= 47[/tex]

For total number of  tickets

[tex]3 + 50 + 47 = 100[/tex]

Left hand side = Right hand side

Substitute in left hand side of total cost we get,

[tex]\£3.50(3) + \£0.85(50) + \£1(47) \\\\= \£10.50 + \£42.50 + \£47[/tex]

[tex]= \£ 100[/tex]

= Right hand side

Hence, as per the given data number of adults [tex]=3[/tex] , number of children [tex]= 50[/tex] and number of pensioner [tex]= 47[/tex].

Learn more about number here

brainly.com/question/17429689

#SPJ2

What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for IT and enter your answer as a decimal.
r = 7​

Answers

Answer:

A =153.86

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know pi = 3.14 and the radius is 7

A = 3.14 * 7^2

A =153.86

Y varies directly with x , and y is 84 when x is 16 .which equation represents this situation?

A) y=100x
B) y=5.25x
C) y= 1344x
D) y= 4/21x

Answers

Answer:

[tex] \frac{y}{x} = \frac{84}{16} \\ = > \frac{y}{x} = \frac{21}{4} [/tex]

[tex]y = \frac{21}{4} x[/tex]

I think option D will be 21x/4

m∠QPS=40
m∠RPS=8x+7
m∠QPR=9x+16

find m∠QPR

Answers

Answer:

25

Step-by-step explanation:

from the information given, we know that rps + qpr = qps.

so, (8x+7)+(9x+16) = 40.

simplify to get 17x + 23 = 40.

17x = 17.

x = 1.

plug in: 9+16 = 25.

The function f(x)=2.5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Multiplicative rate of change can be described as the rate change based on a original amount or point.

If we look at the given points for the function f(x) = 2.5x, we can see that the x coordinates increase by one while the y coordinate is increasing by 5 times it's value for the previous point.

So we can say that the multiplicative rate of change is 5 for the function f(x) = 2.5x.

I hope this answer helps.

the answer is(b) 5 got it right on the test

What is the equation of the linear function represented by the table?
ху
-5 14
-2 11
18
4 5
y=-x+9
y=-X+ 13
y = x+ 13
y=X+9​

Answers

It would be y = -x + 9

Can someone plz help ne

Answers

Answer:

38.5

Step-by-step explanation:

The perimeter is found by

P = 2( l+w)

We know the width is 23, we are looking for the length

P = 2 (23+l)

The perimeter is 123

123= 2 (23+l)

Divide each side by 2

123/2 = 23+l

61.5 = 23+l

Subtract 23 from each side

61.5 -23 = l

38.5 = l

The length of AB = 38.5

Examine the diagram. It is not drawn to scale.

A triangle has angles A, C, 57 degrees. The exterior angle to angle A is B and the exterior angle to angle C is 118 degrees.

Use the measurements provided in the diagram to determine the measure of AngleB.

mAngleB =
°
E DGENUITY

Answers

Answer: 119

Step-by-step explanation: got it right

In the given figure, measure of angle A is 61°, measure of angle B is 119° and measure of angle C is 62°.

From the given triangle triangle, exterior angle to the angle C is 118°.

We know that, sum of two adjacent angles is 180°.

Here, ∠C+118°=180°

∠C=180°-118°

∠C=62°

By using exterior angle theorem of triangle, we get

∠A+57°=118°

∠A=118°-57°

∠A=61°

So, ∠A+∠B=180° (Adjacent angles)

61°+∠B=180°

∠B=180°-61°

∠B=119°

Therefore, in the given figure, measure of angle A is 61°, measure of angle B is 119° and measure of angle C is 62°.

Learn more about the exterior angle theorem here:

brainly.com/question/2995226.

#SPJ2

Other Questions
Do the following angle measures make a triangle: 88, 16, 65? predict the effect of a mutation that prevents the expression of aurka on a normal (noncancerous) cell Who was one of the first Americans to settle in TexasA) Stephen Austen B) William Travis C) Davy Crockett D) Jim Bowie Three seedless watermelons cost $27. If Rihanna buys 4 seedless watermelons at the same unit price how much will she pay? My work: 3 watermelons: $27 4 watermelons: $36 Explain what I did to find my answer. What is the unit price? The layers of a rectangular prism are shown below. What is the capital of Egypt In mice, fur color is a genetically determined trait. To observe the effects of natural selection on fur color in mice, scientists set up six enclosures with either light- or dark-colored sand on the ground. The enclosures were isolated from all ground predators and wild mice but accessible to predatory birds. The scientists placed equal numbers of light- and dark-colored mice into each enclosure. A total of 500 mice were used in the experiment. After several generations, the scientists sampled the mice and found that populations in the light sand enclosures were, on average, lighter in color than the original population, while those in the dark sand enclosures were, on average, darker in color than the mice in the original population.a) describe the way the scientists will determine the evolutionary fitness of the mice in the experiment. b) Identify the independent variable in the scientists experiment.c) State the null hypothesis d) The scientists claim that the changes in the frequency of fur color were the result of natural selection. Justify their prediction. Suppose a recent nationwide survey showed that 35% of American college students have traveled outside of the USA. But a well known university believes its students have traveled abroad more than the national rate of 35%. A random sample of 100 students from this university had 42 students who have traveled outside the USA. A hypothesis test is then conducted to determine if we can believe that, statistically, more of this university's students have traveled abroad. Using these numbers, what is the value of the test statistic for this hypothesis test Pls halp me ;-; they need me to simplify this expression What is the pH of a buffer solution that is 0.211 M in hypochlorous acid (HClO) and 0.111 M in sodium hypochlorite? The Ka of hypochlorous acid is 3.8 10-8. What is the pH of a buffer solution that is 0.211 M in hypochlorous acid (HClO) and 0.111 M in sodium hypochlorite? The Ka of hypochlorous acid is 3.8 x 10-8. a. 7.7b. 0 c. 7.14 d. 14.28 e. 9.05 f. 6.86 What is stated in the central dogma Which equations represent the relationship between wavelength and frequency for a sound wave? Check all that apply.v = lambdafA = vff = vA = StartFraction v over f EndFraction.A = StartFraction f over v EndFraction.f = StartFraction v over f EndFraction.f = StartFraction lambda over v EndFraction. 30 points who answers . Seasons are caused primarily by Earth's.clockwise rotationelliptical orbitdistance from the suntilted axis How much is x? Round answer to the nearest tenth. Please help!! what is the answer to 2 1/2 times 4/7? I was wondering because I am horrible at maths and I would like some help. Thanks :) 1. A negatively charged rod is moved near the top of a positively charged electroscope. Whathappens to the leaves of the electroscope?(10 Points)A)Move closer togetherB)Move further apartC)No change Read the excerpt from Hamlet, Act I, Scene ii.Horatio: My lord, I came to see your fathers funeral.Hamlet: I pray thee, do not mock me, fellow-student;I think it was to see my mothers wedding.Horatio: Indeed, my lord, it followd hard upon.Hamlet: Thrift, thrift, Horatio! the funeral bakd meatsDid coldly furnish forth the marriage tables.In the excerpt, Shakespeare characterizes Hamlet asamused that he was able to attend his own mothers wedding.disgusted that Gertrude and Claudius married so quickly.grateful that his mother did not have to remain a widow for long.resentful that Gertrude and Claudius wasted so much food. Todd has $124 in his checking account. He wrote two checks for $13.96 and $21.67 and transferred$14 into his checking from his savings.What is his new balance? Hunt Company purchased factory equipment with an invoice price of $90,000. Other costs incurred were freight costs, $1,100; installation wiring and foundation, $2,200; material and labor costs in testing equipment, $700; oil lubricants and supplies to be used with equipment, $500; fire insurance policy covering equipment, $1,400. The equipment is estimated to have a $5,000 salvage value at the end of its 8-year useful service life. Compute the acquisition cost of the equipment. Acquisition cost of the equipment $ If the double-declining-balance method of depreciation was used, the constant percentage applied to a declining book value would be How many grams of NH4Cl (ammonium chloride) should dissolve in 50mL of water at 20 degrees Celsius? Steam Workshop Downloader