The perimeter of the rectangular playing field is 430 yards.The length of the field is 5 yards less than triple the width. What are the dimensions of the playing​ field?

The number 9.36×10-4 in standard form is 0.000936. You convert from scientific notation to standard form by moving the decimal point to the left by the number equivalent to the exponent when the exponent is negative.

Explanation:

When asked what is 9.36×10-4 in standard form, we are being asked to convert a number from scientific notation to its regular number format. Scientific notation is a method of writing numbers that are too big or too small to be conveniently written in decimal form. To convert this to standard form, we move the decimal point to the left if the exponent is negative (or to the right if the exponent is positive) as many times as the value of the exponent.

In this case, we have a negative exponent (-4), so we move the decimal four places to the left:

9.36 -> 0.936 -> 0.0936 -> 0.00936 -> 0.000936

Therefore, 9.36×10-4 in standard form is 0.000936.

Answer:

Question 39: False

Question 43: True

Step-by-step explanation:

Question 39

|-4| is a solution of x ≤ 4

|-4| ⇒ This mean the absolute value of 4. The sign s are neglected.

So, |-4| is not a  solution of x ≤ 4.

Question 43

The point (5, -1) is a solution of the equation: y = 2x − 11.

To prove this we are to substitute the point (5, -1) in the equation y = 2x − 11.

y = -1 and x = 5

y = 2x − 11   ⇒   -1 = 2(5) -11

                         -1 = 10 - 11

                         -1 = -1

Answer:

2.5 min

Step-by-step explanation:

The tortoise takes 1 min/3 m.

7.5 × 1/3  = 2.5 min

Answer:

Length of Charlie's brother's room  = 8 2/5 feet

Area of Charlie's brother's room  = 60 9/10 feet²

Step-by-step explanation:

Width Charlie's room = 7 1/4 = (7 x 4 +1)/4 = 29/4  feet

Length Charlie's room =  10 1/2 = (10 x 2 +1)/2 = 21/2 feet

Length brother's room = 4/5 x 21/2 = (4 x 21)/(5 x 2) = 84/10 = 8 2/5 feet

Area = Length x Width = (42/5 x 29/4) feet² = 1218/20 feet² = 60 9/10 feet²

[tex]\textit{\textbf{Spymore}}[/tex]

Answer:

7:10 (boys to girls)

10:7 (girls to boys)

7:17 (boys to everyone combined)

10:17 (girls to everyone combined)

~

Answer:

{x = 1/7 ,y = 1

Step-by-step explanation:

Solve the following system:

{-5 y = -5 | (equation 1)

{7 x + 6 y = 7 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 6 y = 7 | (equation 1)

{0 x - 5 y = -5 | (equation 2)

Divide equation 2 by -5:

{7 x + 6 y = 7 | (equation 1)

{0 x+y = 1 | (equation 2)

Subtract 6 × (equation 2) from equation 1:

{7 x+0 y = 1 | (equation 1)

{0 x+y = 1 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 1/7 | (equation 1)

{0 x+y = 1 | (equation 2)

Collect results:    Answer:    {x = 1/7 ,y = 1

Answer:

No

Step-by-step explanation:

Answer:

it should be 4x^3 y-4xy^2+xy+3x^2

Step-by-step explanation:

Answer:

X = 37

Y = 29

Step-by-step explanation:

X + Y = 66

X - Y = 8

------

Solve second equation for X

X = Y + 8

Substitute for X in first equation

Y + 8 + Y = 66

2 * Y = 58

Y = 29

___

X - 29 = 8

X = 37

X = 37

Y = 29

Good Luck,

- I.A. -

Answer:

x = 37 and y = 29

Step-by-step explanation:

x + y = 66

x - y = 8

solve second equation for x

x = y + 8

substitute for x in first equation

y+8 +y = 66

2y = 58

y = 29

x - 29 = 8

x = 37

x = 37 and y = 29

Answer:

Total tax paid by Bruce = $2477.62

Step-by-step explanation:

Bruce banner taxable income last year = $43,467

State's income tax rate = 3.9%

State's income tax = 43467*3.9% = 43467*0.039 = $1695.21

City income tax rate is = 1.8

City income tax = 43467*1.8% = 43467*0.018 =$782.41

Total tax = $1695.21 + $782.41

= $2477.62

Thank you.

Answer:

Point (1,8)  

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

[tex][x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}][/tex]

Let us substitute coordinates of point P and Q as:

[tex]x_1=-8[/tex],

[tex]y_1=-4[/tex]

[tex]x_2=4[/tex]

[tex]y_2=12[/tex]

[tex]m=3[/tex]

[tex]n=1[/tex]

[tex][x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}][/tex]

[tex][x=\frac{12-8}{4},y=\frac{36-4}{4}][/tex]

[tex][x=\frac{4}{4},y=\frac{32}{4}][/tex]

[tex][x=1,y=8][/tex]

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

Answer:

Step-by-step explanation:

1,8

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

I like to call the numbers in the ratio 1 : 3 "ratio units".

That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).

_____

Coment on the answer wording

I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".

In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."

Answer:

D) 75%

Step-by-step explanation:

75% of 24 = 0.75 x 24 = 18

Answer:

-1,81

Step-by-step explanation:

Multiplicity of a number can be written as power

for example

-1(multiplicity 3) can be written as

[tex]-1^{3}[/tex]= -1

similiarly 3(multiplicity 4) can be written as

[tex]3^{4}[/tex]=81

The eleventh-degree polynomial (x + 3)4(x – 2)7 has the same zeroes as did the quadratic, but in this case, the x = –3 solution has multiplicity 4 because the factor (x + 3) occurs four times (that is, the factor is raised to the fourth power) and the x = 2 solution has multiplicity 7 because the factor (x – 2) occurs ... Can you do the rest on your own?

Answer:

b. 3x - (5y -7)

Step-by-step explanation:

Let x represent "a number". Let y represent "another number."

The "3 times a number" is represented by 3x.

And "5 times another number less 7" is represented by 5y -7.

The difference between these quantities is the second subtracted from the first:

... 3x - (5y -7) . . . . matches selection b.

Answer:

(A) The number of bacteria is originally 300 and increases by 30% every hour

Step-by-step explanation:

I am assuming the function should actually read:

[tex]N(t)=300\cdot 1.30^t[/tex]

(i.e., there should be a "t" in the exponent. if this is not the case please disregard my answer).

According to the above exponential function, the initial amount 300 grows as (1+0.3)*300=300+0.3*300. In other words it increases by 30% every hour (t).

Your answer choice (A) is likely a candidate, except I am missing "every hour" at the end (again, am assuming this was omitted by mistake)

Final answer:

The function N(t)=300(1.30)^t represents the bacterial growth model where the initial amount of bacteria is 300 and increases by 30% every hour.

Explanation:

Looking at the function N(t)=300(1.30)^t, this model describes the number of bacteria, N, after t hours. The base number, 300, indicates the initial quantity of bacteria, while the term (1.30)^t suggests that the population changes by a factor of 1.30 each hour, reflecting a 30% increase in the number of bacteria each hour. Therefore, the correct statement that interprets this model is:

A. The number of bacteria is originally 300 and increases by 30% each hour.

Answer:

Each hiker gets [tex]\frac{7}{3}[/tex]  cups of mixed nuts.

Step-by-step explanation:

First, we need to find the total amount of cups by multiplying the number of bags with the amount of cups in each bag:

8 * 3.5 = 28

Now, we divide this by 12 to find the amount of cups per hiker:

28 ÷ 12 = [tex]\frac{7}{3}[/tex] or 2.3333

So each hiker gets  [tex]\frac{7}{3}[/tex]  cups of mixed nuts.

Since QC and BR are parallel, triangles CDQ and BDR are similar.

This means that corresponding sides are in proportion, so we have

[tex] BD \div QD = RD \div CD [/tex]

Substituting numbers, we have

[tex] 26+39 \div 39 = 18+x \div x \iff \dfrac{65}{39} = \dfrac{18+x}{x} [/tex]

Multiply both sides by [tex] 39x [/tex]

[tex] 65x = 39(18+x) [/tex]

Expand right hand side:

[tex] 65x = 702 + 39x [/tex]

Subtract 39x from both sides:

[tex] 26x = 702 [/tex]

Divide both sides by 26

[tex] x = \dfrac{702}{26} = 27 [/tex]

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!

Answer:

[tex]y= \frac{1}{28} x^2[/tex]

Step-by-step explanation:

A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.

The pipe is located 7 inches from the vertex of the mirror.

The parabola is open upwards . the vertex of the parabola is (0,0)

and pipe is located 7 inches from the vertex (0,0)

7 inches is the focus of the mirror

The distance between the vertex and the focus = 7

Since parabola is upwards and vertex is (0,0) we use formula

[tex]4py = x^2[/tex]

Where p is the distance between the vertex and focus

p = 7 we know

[tex]4*7*y = x^2[/tex]

[tex]28y = x^2[/tex]

Now isolate y by dividing 28 on both sides

[tex]y= \frac{1}{28} x^2[/tex]

Answer:

Step-by-step explanation:

Numerical reasoning

If all questions were 2-point, the total score would be 80. It is 20 more than that. Each 4-point question that replaces a 2-point question will add 2 points to the score, so there must be 20/2 = 10 of them.

There are 10 4-point questions and 30 2-point questions.

_____

With an equation

Let x represent the number of 4-point questions. Then 40-x is the number of 2-point questions. The total number of points is ...

... 2(40-x) +4x = 100

... 2x +80 = 100 . . . . simplify

... 2x = 20 . . . . . . . . .subtract 80

... x = 10 . . . . . . . . . . divide by 2.

There are 10 4-point questions and 40-10=30 2-point questions.

B. (5, -2)

Try the points in the inequalities and see what works. Here, we evaluate the point in the first inequality, and if that works, then the second inequality.

A. 2 ≤ -(-5) -5 . . . ⇒ . . . 2 ≤ 0 . . . false

B. -2 ≤ 5 -5 . . . true

... -2 ≥ -(5) -4 . . . true . . . . . . selection B is a viable choice

C. we know from A that the first inequality will be satisfied

... -2 ≥ -(-5) -4 . . . ⇒ . . . -2 ≥ 1 . . . false

D. 2 ≤ 5 -5 . . . . false

E. 168 sq units

The legs of this right triangle have length 24 and 14, so the area is ...

... A = (1/2)bh = (1/2)(24)(14) = 168 . . . . sq units

Answer:

Step-by-step explanation:

We have been given an equation:

[tex]x-3=2\frac{1}{2}[/tex]

(a) Related equation means the equation that are equivalent to the given equation.

We can shift 3 on the right hand side of the equation:

(1)[tex]x=3+2\frac{1}{2}[/tex]

We can solve the mixed fraction [tex]2\frac{1}{2}=\frac{5}{2}[/tex] we get.

(2)[tex]x=3+\frac{5}{2}[/tex]  

We can solve the right hand side of the equation [tex]x=3+\frac{5}{2}[/tex]    we get:

(3)[tex]x=\frac{11}{2}[/tex]

Hence, above three expressions are the related equations of the given equation.

(b) We have to find the related equations that isolates the variable and simplify.

So, basically we can solve for x.

[tex]x=2\frac{1}{2}+3[/tex]

[tex]x=1+3[/tex]

[tex]x=4[/tex].

Neither one

Frog A's "unit rate" is ...

... (8 flies)/(4 minutes) = 2 flies/minute

Frog B's "unit rate" is ...

... (14 flies)/(7 minutes) = 2 flies/minute

Both rates are the same. Each frog eats 2 flies per minute.

Answer:

i dont like frogs

Step-by-step explanation:

Answer:

f(x)= -x²-4x-2

Step-by-step explanation (this way is not the shortest one):

1. for intercept (-2-√2;0): a(-2-√2)²+b(-2-√2)+c=0

for intercept (-2+√2;0): a(-2+√2)²+b(-2+√2)+c=0

for the point (-1;1): a(-1)²+b(-1)+c=1

2. using the three record written above, it is possible to make up the system of equations and calculate 'a', 'b' and 'c':

[tex]\left \{ \begin{array}{ccc}a-b+c=1\\a(-2- \sqrt2)^2+b(-2- \sqrt2)+c=0\\a(-2+ \sqrt2)^2+b(-2+ \sqrt2)+c=0\end{array}[/tex]

[tex]\left \{ \begin{array}{ccc}a=-1\\b=-4 \\c=-2\end{array}[/tex]

3. the required equation is: -x²-4x-2

Answer:

Point

Step-by-step explanation:

If you are referring to geometry

Answer:

Probability that a vehicle is white, given that the vehicle is a car :

0.2222

Step-by-step explanation:

A: vehicle is white

probability that a vehicle is white =P(A)= 0.25

B:vehicle is a car

probability that it is a car =P(B)= 0.36

A∩B:vehicle is a white car

P(A∩B)=probability that it is a white car = 0.08

A/B:vehicle is white,given that vehicle is a car

to find P(A/B)

baye's theorem says that

P(A∩B)=P(A/B)×P(B)

⇒   0.08=P(A/B)×0.36

⇒  P(A/B)=0.2222

Hence, probability that a vehicle is white, given that the vehicle is a car is :

0.2222

Answer: 0.22

Step-by-step explanation:

confirmed

Answer:

x = 2/5

Step-by-step explanation:

[tex]x^3=\dfrac{0.008}{0.125}=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\\\x=\sqrt[3]{\dfrac{2^3}{5^3}}=\dfrac{\sqrt[3]{2^3}}{\sqrt[3]{5^3}}=\dfrac{2}{5}[/tex]

The value of x is 2/5.

Answer:

x = 2/5

Step-by-step explanation:

x^3 = .008/.125

Take the cubed root on each side

x^3 ^ (1/3)  = (.008/.125) ^ 1/3

Using ( a/b) ^c = a^c / b^c  and a^b^c = a^ (b*c)

x^(3 *(1/3))  = (.008) ^ 1/3 / (.125) ^ 1/3

x = (.008) ^ 1/3 / (.125) ^ 1/3

x = .2/.5

x = 2/5

Answer:

The correct answer would be A) (4, 49.6)

Step-by-step explanation:

In order to find the equation, we first have to start with the base form of direct variation.

y = kx

Now we input the k value.

y = 12.4x

Now that we have this, we can try the ordered pairs and look for which satisfies the equation.

y = 12.4x

49.4 = 12.4(4)

49.4 = 49.4

Since this is the true statement, this is the ordered pair that works.

Answer:

(4,49.6)

Step-by-step explanation: