Answer: [tex]1.38\frac{g}{cm^3}[/tex]
Step-by-step explanation:
You need to remember the formula for calculate the density:
[tex]density=\frac{mass}{volume}[/tex]
In this case:
[tex]density_{(rock)}=\frac{mass_{(rock)}}{Volume_{(rock)}}[/tex]
You know that:
[tex]mass_{(rock)}=15.5g[/tex]
And when it is placed in a graduated cylinder, the volume is displaced from 25.0 mL to 36.2 mL.
Then, the volume of the rock is:
[tex]Volume_{(rock)}=36.2mL-25.0mL=11.2mL[/tex]
Since [tex]1mL=1cm^3[/tex], you can rewrite the volume as:
[tex]Volume_{(rock)}=11.2cm^3[/tex]
Substituting values into the formula, you get that the density of the rock is:
[tex]density_{(rock)}=\frac{15.5g}{11.2cm^3}=1.38\frac{g}{cm^3}[/tex]
Explain how to determine the number of square feet required to cover your rectangular garden that has a length of 10 feet and a width of 8 feet?
Answer:
Multiply the length and the width of the shape together to get the area of the square or rectangle in square feet.
10 multiplied by 8 equals 80 square feet
Step-by-step explanation:
Got a 100 on it.
Final answer:
To cover a rectangular garden measuring 10 feet by 8 feet, multiply the length by the width to get an area of 80 square feet, which is the amount of material needed.
Explanation:
Calculating the Area of a Rectangular Garden
To determine the number of square feet required to cover your rectangular garden, you need to calculate the area of the garden. The area of a rectangle is found by multiplying the length by the width. In this case, the garden has a length of 10 feet and a width of 8 feet.
Steps to Calculate the Area
Measure the length and width of the garden using a measuring tape.
Multiply the length by the width to get the area in square feet: 10 feet (length) × 8 feet (width) = 80 square feet.
Therefore, you would need 80 square feet of material to cover the entire garden.
someone help plzzzzz
Answer:
B
Step-by-step explanation:
rsu is equal to vst, so you can solve 5x+17=9x-11, which yields x=7.
So vst=52 and wsv=90-52=38.
Will mark BRAINLIEST!
Hello There!
The first one seems alright.
The second one it would be 1/2.
This is because half of the options have “R” on them.
Answer: 1. is 5/6
2. is 1/2
Step-by-step explanation:
What is 37.5% as a fraction
37.5% as a fraction is 3/8.
Answer:
3/8
Step-by-step explanation:
To write a percent as a fraction, divide the percent by 100.
37.5% = 37.5/100
Now we reduce the fraction. First, multiply the numerator and denominator by 2 to get rid of the decimal in the numerator.
37.5% = 37.5/100 = 75/200
Both the numerator and denominator are divisible by 5, so we divide them by 5.
37.5% = 37.5/100 = 75/200 = 15/40
Both the numerator and denominator are divisible by 5 again, so we divide them by 5 again.
37.5% = 37.5/100 = 75/200 = 15/40 = 3/8
Answer: 37.5% = 3/8
HURRY ILL GIVE BRAINLIEST!!!
Suppose a line has slope m and passes through the point (a, b). Which other point MUST also be on the graph?
A) (a + m, b + 1)
B) (a + m, b - 1)
C) (a + 1, b - m)
D) (a + 1, b + m)
ANSWER
D) (a + 1, b + m)
EXPLANATION
The given line passes through (a,b) and has slope m.
The equation is:
[tex]y - b = m(x - a)[/tex]
When x=a+1, we obtain
[tex]y - b = m(a + 1 - a)[/tex]
This
[tex]y = m( 1 ) + b[/tex]
[tex]y = m + b[/tex]
Therefore,(a + 1, b + m) must also lie on this line.
The correct answer is D.
Answer:
d
Step-by-step explanation:
I got it correct
State your variables and what they represent. Write a linear function describing the situation. Use the function to solve the problem.
A phone costs $8 per month, plus 10 cents per message unit. How much is the monthly bill if 40 message units are used?
Answer:
y = 0.10x + 8, $12
Step-by-step explanation:
y = monthly bill
x = number of message units
Each message unit costs $0.10, so the cost of x message units is 0.10x. The phone adds $8 to the monthly bill. Therefore:
y = 0.10x + 8
If x = 40, then:
y = 0.10 (40) + 8
y = 4 + 8
y = 12
The monthly bill is $12.
A recent study on the relationship between children's weight and their achievement test scores determined the correlation coefficient to be .9734. Which is the most reasonable conclusion based on the correlation coefficient?
A) Children who weigh more score lower on achievement tests.
B) As age increases, so do body weight and achievement test scores.
C) Children who weigh more spend more time on studying for achievement tests.
D) Children should increase their food intake to increase their achievement test scores.
Answer:
C. Children who weigh more spend more time on studying for achievement test .
Step-by-step explanation:
Correlation is a measure of relationship , mutual co-interdependence (fluctuation) between two quantitative variables .
Direct / Positive (+) correlation means the variables are directly related - one increase , other increase & one increase , other decrease . Inverse / Negative (-) correlation means the variables are inversely related - one increase , other decrease & one decrease, other increase . It lies between -1 to +1 . Correlation more than + 0.5 implies Strong correlation, less than that implies Weak correlation.
The correlation between above variables - weight and achievement test score is 0.9734 i.e there is Strong Positive relationship . So , increase in one strongly leads to increasing trend in other
Answer:
B) As age increases, so do body weight and achievement test scores.
Step-by-step explanation:
Based on these results, if 250 children are asked about their favorite activity, how many children will prefer organize sports?
Answer:
60 out of 250 children will prefer organized sports.
Step-by-step explanation:
We are given the results of a random survey of children between the ages of 13 and 18 about their favorite activity.
Based on these results, we are to find the number of children who will prefer organized sports if 250 children were asked about their favorite activity.
Children who will prefer organized sports = [tex]\frac{37}{155} \times 250[/tex] = 60
A standard deck has 52 cards, and contains 13 cards of each of the four suites: diamonds, spades, hearts, and clubs. What is the probability that you choose a diamond, given that you have already chosen a diamond and have not replaced it?
a) 1/4
b) 13/51
c) 3/13
d) 4/17
Answer:
Option d) [tex]P=\frac{4}{17}[/tex]
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
[tex]P=\frac{x}{y}[/tex]
In this problem we have
[tex]x=13-1=12[/tex]
[tex]y=52-1=51[/tex]
substitute
[tex]P=\frac{12}{51}[/tex]
Simplify
[tex]P=\frac{4}{17}[/tex]
I need help please????
Answer:
x = - 1
Step-by-step explanation:
Given
3x + 2 = y and y = - 1
Substitute y = - 1 into the equation and solve for x, that is
3x + 2 = - 1 ( subtract 2 from both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
This is verified by the point on the graph with coordinates (- 1, - 1)
Method 1: By substitution
Step 1: In the equation 3x + 2 = y when you see a y replace it with -1
3x + 2 = -1
Step 2: Combine like terms by subtracting 2 to both sides
3x + (2-2) = -1 - 2
3x = -3
Step 3: Isolate x by dividing 3 to both sides
[tex]\frac{3x}{3} = \frac{-3}{3}[/tex]
x = -1
Method 2: By looking at the graph
To solve this way you see where the line on the graph has y = -1 and look for its complimentary x
If you look at the graph attached below you can see that at y = -1 the x also equals -1
x = -1
Hope this helped!
Bethany added a decorative border across the top of each wall of her kitchen. A diagram of her kitchen is shown below.
She used a total of 62 feet of border. What is the length in feet of the unlabeled wall?
Choices:
a.) 5
b.) 10
c.) 8
d.) 13
The answer is your mom. Nah it’s B)10
For this case we have that the perimeter of the figure is given by the sum of its sides, they tell us that the perimeter is 62 feet.
So:
Let "x" be the variable that represents the length of the unlabeled wall, so the perimeter is:
[tex]x + 8 + 5 + 13 + 18 + 8 = 62[/tex]
We find the value of "x":
[tex]x = 62-8-5-13-18-8\\x = 10[/tex]
Thus, the length of the unlabeled wall is 10 feet.
Answer:
Option B
30 points, Please help with trig
X is 4 and Y is 4 Square Root of 2 (or 5.656854)
help me with this please
Answer:
m∠8 = 124°
Step-by-step explanation:
1. Find m∠1
m∠1 and m∠2 are supplementary, since they are on the same line.
That means m∠1 + m∠2 = 180.
Plug in: 4x + 2x - 6 = 180
Simplify + subtract: 6x = 186
Divide: x = 31
Plug in: m∠1 = 4(31) --> m∠1 = 124°
2. Since ∠1 and ∠4 are vertical, they are congruent. Since ∠4 and ∠8 are corresponding on parallel lines, they are also congruent. Therefore, ∠1 and ∠8 are congruent, which means m∠1 = m∠8
Plug in: m∠8 = 124°
The initial number of carbon-14 atoms in the organism at death is
The initial number of carbon-14 atoms in the organism at the time of death was 200 atoms.
The initial number of carbon-14 atoms in the organism at death can be calculated using the formula for exponential decay:
[tex]\[ N(t) = N_0 e^{-\lambda t} \][/tex]
where:
- [tex]\( N(t) \)[/tex] is the number of undecayed carbon-14 atoms at time [tex]\( t \),[/tex]
- [tex]\( N_0 \)[/tex] is the initial number of carbon-14 atoms at time \[tex]( t = 0 \[/tex]) (the time of death),
- [tex]\( \lambda \)[/tex] is the decay constant for carbon-14,
- [tex]\( t \)[/tex] is the time that has passed since the time of death.
Given that after 5730 years (the half-life of carbon-14), the number of undecayed carbon-14 atoms is half the initial amount, we can write:
[tex]\[ \frac{N_0}{2} = N_0 e^{-\lambda \times 5730} \][/tex]
To find the decay constant [tex]\( \lambda \)[/tex], we use the half-life formula:
[tex]\[ \lambda = \frac{\ln(2)}{t_{1/2}} \][/tex]
where [tex]\( t_{1/2} \)[/tex] is the half-life of carbon-14, which is 5730 years. Plugging in the values:
[tex]\[ \lambda = \frac{\ln(2)}{5730} \][/tex]
Now, we can solve for [tex]\( N_0 \)[/tex]using the information provided:
[tex]\[ 100 = N_0 e^{-\frac{\ln(2)}{5730} \times 573[/tex]
Since [tex]\( e^{-\ln(2)} = \frac{1}{2} \)[/tex], the equation simplifies to:
[tex]\[ 100 = N_0 \times \frac{1}{2} \][/tex]
Solving for [tex]\( N_0 \):[/tex]
[tex]\[ N_0 = 100 \times 2 \][/tex]
[tex]\[ N_0 = 200 \][/tex]
Therefore, the initial number of carbon-14 atoms in the organism at the time of death was 200 atoms.
I NEED HELP PLEASE !
A big ship drops its anchor.
E(t) models the anchor's elevation relative to the water's surface (in meters) as a function of time t (in seconds)
E (t) = -2.4t + 75
How far does the anchor drop every 5 seconds?
Answer:
The answer is 75
Step-by-step explanation:
What is (1-7x)(1+9x)
ANSWER
[tex](1-7x)(1+9x) =- 63 {x}^{2} + 2x + 1[/tex]
EXPLANATION
The given product is (1-7x)(1+9x).
Expand using the distributive property.
[tex](1-7x)(1+9x) = 1(1 + 9x) - 7x(1 + 9x)[/tex]
[tex](1-7x)(1+9x) = 1 + 9x - 7x - 63 {x}^{2}[/tex]
Simplify to obtain:
[tex](1-7x)(1+9x) = 1 + 2x - 63 {x}^{2}[/tex]
You can rewrite in standard form to get,
[tex](1-7x)(1+9x) =- 63 {x}^{2} + 2x + 1[/tex]
Answer:
1+2x-63x^2
Step-by-step explanation:
factor 1(1+9x)=1+9X
-7x(1+9x)=-7x-63x^2
add 1+9x-7x-63x2
A circle with area 81 has a sector with a central angle of 120 what is the area of the sector
Answer:
27
Step-by-step explanation:
The central angle of 120° is 1/3 of the entire circle of 360°, so the sector area is 1/3 of the circle area:
1/3×81 = 27
The sector area is 27.
Cade made A table to relate two units of time. The number pairs in his Table are One and 24, two and 48, three and 72, four and 96. What are the best labels for Cades table
Answer:
Days, Hours
Step-by-step explanation:
1 day = 24 hours
2 days = 48 hours
3 days = 72 hours
4 days = 96 hours
(its increasing by 24)
Ice cream beans are selling for $10 per pound and durians are selling for $9 per pound. If the market sold a total of $196 worth of durians and ice cream beans yesterday, and it sold 11 pounds of durian, which of the following is a good estimation of the total pounds of ice cream beans sold?
.
Durain beans cost $9 per pound and they sold 11 pounds.
Multiply the cost by the amount sold: 9 x 11 = $99
Subtract that from the total sold:
196 - 99 = $97
Now divide the amount left by the cost per pound for Ice cream beans:
97 / 10 = 9.7 pounds.
Round the answer as needed to match one of your choices.
(2x^2+2x+3)-(x^2+2x+1 find each difference
[tex]
(2x^2+2x+3)-(x^2+2x+1) \\
2x^2+2x+3-x^2-2x-1 \\
\boxed{x^2+2}
[/tex]
What will be the simple interest earned when you invest $1,000 for 3 years at 10 percent and the compound interest earned when you invest the same sum for 2 years at 5 percent ? The simple interest earned when you invest $1,000 for 3 years at 10 % is $ . The interest compounded when you invest the same sum for 2 years at 5 % is $ .
Answer:
Simple interest = $1,000(.10)(3) = $300
Compound interest =
$1,000(1.05)² - $1,000 = $102.50
Complete the function table.
Function: y = 4x + 1
Answer:
2=9
4=17
Step-by-step explanation:
4(2)+1
8+1=9
4(4)+1
16+1=17
What is the simplified expression for the expression below?
Answer:
3x+5
Step-by-step explanation:
i took test
2 pounds equals how many onces
There are 16 oz in a pound, so 2 lbs is 32 oz.
Answer: two pounds is equivalent to 32 ounces.
Step-by-step explanation: 1 pound is equal to 16 ounces, and since 2 is 1 two times, just multiply 16 by 2, 16x2=32 ounces
the value of n is a distance of 3 units from 1 1/2 on a number line
Answer:
What is your question?
Is " n " to the left or the right?
How many units are on the number line?
It may be the number 3.
The values of n is a distance of 3 units from 1 1/2 on a number line are 4.5 units and -1.5units
The number line consists of positive values to the right of zero and negative values to the left.
Given the value 1 1/2 units, it is 1.5 units to the right of zero.
If the value of n is a distance of 3 units from 1 1/2 on a number line, the value of n can be 3 units to the right or to the left.
Valuee to the right = 3 + 1.5 = 4.5units
Value to the left = 1.5 - 3 = -1.5 units
Hence the values of n is a distance of 3 units from 1 1/2 on a number line are 4.5 units and -1.5units
Learn more here: https://brainly.com/question/23379455
Colin and Jezebel are employees at Game Zone. They recorded the number of computer games they sold each week for the past 9 weeks.
Colin 15 20 21 9 3 16 9 14 17 Jezebel 10 14 20 11 4 26 5 8 20 (a) All of the games sold of which person had the greatest spread? Explain how you know. (b) The middle 50% of the games sold of which person had the least spread? Explain how you know. (c) What do the answers to Parts 2(a) and 2(b) tell you about Colin’s and Jezebel’s sold games?
Answer:
a) The sold games of Jezebel had the greatest spread.
b) The middle 50% of the games sold by Colin has the least spread.
c) Jezebel sold more games than colin.
Step-by-step explanation:
Range is sued to calculate the spread of the given data.
Range is given by:
Range=Max Value-Min Value
So,
Part a)
For Collin:
Range=21-3=18
For Jezebel:
Range=26-5=21
Part b)
Middle 50% of the values will be the values between 1st quartile and 3rd quartile
So, to find quartiles:
For Colin:
=3,9,9,14,15,16,17,20,21
The median is 15.
The lower half is 3,9,9,14
Q1 = (9+9)/2= 18/2 = 9
The upper half is 16,17,20,21
Q3 = (17+20)/2= 37/2= 18.5
The middle 50% is first quartile subtracted from third quartile
So, the spread is:
18.5-9=9.5
For Jezebel:
4,5,8,10,11,14,20,20,26
The median is 11.
The lower half is 4,5,8,10
Q1 = (5+8)/2=13/2=6.5
The upper half is 14,20,20,26
Q3 = (20+20)/2=40/2=20
The middle 50% values' spread is:
20-6.5=13.5
Part c) The answer to part a tells us that Jezebels sold games have more spread than Colin's sold games. Similarly the answer of part b tells us that the spread of middle 50% values of Jezebel's sold games was more than the spread of middle 50% values of Colin's sold games ..
Find the slope of (1, 2), (-1, -2). Reduce all fractional answers to lowest terms
Answer:
The slope is 2
Step-by-step explanation:
The slope is equal to
m = (y2-y1)/(x2-x1)
= (-2-2)/(-1-1)
= -4/-2
= 2
Is x+2=14 a one-step or two-step equation?
This is just a ONE STEP equation.
It is, because all you must do to solve for "x" is subtract 2
Answer:
one-step equation
x+2=14
x+2-2=14-2
x=12
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
2nd one
Find m
Answers choices
53
44
65
35
For this case we have to define trigonometric relations of rectangular triangles that:
The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.Then, according to the figure we have:
[tex]Sin (M) = \frac {3} {5}\\M = ArcSine (\frac {3} {5})[/tex]
[tex]M = 36.87[/tex] degrees
Answer:
36.87 degrees