One lap around a track is equal to 1/8 of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was the horse's average speed in miles per minute?

Answer:

b= -10

Step-by-step explanation:

9^ -8  * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

a=9

b= -10

Answer:

-10

Step-by-step explanation:

1st: the

2nd: expect

3rd: said

last step: so

Answer:

that share a common vertex

Answer:3.8

Step-by-step explanation: 5 or up you round up so you round up so it is 3.8

Answer:

3.8

Step-by-step explanation:

if the hundredth place is 5 or greater then turn the tenth place to 8 so 3.8

it's a.

three more is +3 and it equals 105

that already eliminates c and d

next it says twice the sum of a number and half the number

Answer:

a

Step-by-step explanation:

Answer:

33/65

Step-by-step explanation:

We know that there was a # of even numbers drawn = to 6+10+14+3, which equals 33.

This means, in 65 trials, 33 had even outcomes. This means the experimental probability is 33/65 or approximately 51% (the most precise I could get is 33/65= 0.50769230769)

Final answer:

To find what multiplied by 3/4 equals 1/4, set up the equation 3/4 * x = 1/4 and solve for x, giving the answer x = 1/3.

Explanation:

This question demands basic understanding of multiplication and reciprocals.

The question asks, "3/4 times what equals 1/4?". To find the answer, we can set up the equation 3/4 * x = 1/4, where x is the unknown we are trying to find. Solving for x involves dividing both sides of the equation by 3/4 to isolate x.

Therefore, the equation simplifies to x = (1/4) / (3/4). Performing the division gives us x = 1/3. This means that 1/3 is the number you need to multiply by 3/4 to get 1/4.

To find what number multiplied by 3/4 equals 1/4, divide 1/4 by 3/4, which is the same as 1/4 times the reciprocal of 3/4 (4/3), resulting in 1/3.

To find out 3/4 times what equals 1/4, we are essentially looking for a number that when multiplied by 3/4 gives us 1/4. The mathematical operation we need to use is division since we want to find what 1/4 divided by 3/4 is. So, the equation we are solving is (1/4) ÷ (3/4).

When we divide fractions, we multiply by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. So, the calculation now is (1/4) × (4/3).

Multiplying the numerators and denominators separately, we get (1 × 4) / (4 × 3) which simplifies to 4/12. After simplification, 4/12 reduces to 1/3. Therefore, 3/4 times 1/3 equals 1/4.

Complete question is :

3/4 times is what equals 1/4​?

Answer:

6% x = 8,880 : x = selling price of house.  

x = $148,000 : solve for x

Step-by-step explanation:

The selling price of the house can be calculated by dividing the commission ($8,880) by the commission rate (0.06). This gives a selling price of $148,000.

To solve this problem, you need to understand that the 6% commission the real estate agent received is based on the selling price of the house. You can find the selling price by dividing the commission by the percentage commission expressed as a decimal.

Here's the step-by-step solution:

So, the selling price of the house on which the agent earned an $8,880 commission at a rate of 6% was $148,000.

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Answer:

x=-6

Step-by-step explanation:

You are given the equation

[tex]-\dfrac{1}{2}(3x-4)=11[/tex]

First, multiply it by 2 to get rid of fraction:

[tex]-(3x-4)=22[/tex]

Now open the brackets:

[tex]-3x+4=22[/tex]

Subtract 4 from both sides:

[tex]-3x+4-4=22-4\\ \\-3x=18[/tex]

Multiply it by -1:

[tex]3x=-18[/tex]

and divide by 3:

[tex]x=-6[/tex]

Answer:

[tex]\large\boxed{x=-6}[/tex]

Step-by-step explanation:

[tex]-\dfrac{1}{2}(3x-4)=11\qquad\text{multiply both sides by (-2)}\\\\(-2\!\!\!\!\1\diagup^1)\cdot\left(-\dfrac{1}{2\!\!\!\!\1\diagup_1}\right)(3x-4)=(-2)\cdot11\\\\3x-4=-22\qquad\text{add 4 to both sides}\\\\3x-4+4=-22+4\\\\3x=-18\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=-\dfrac{18}{3}\\\\x=-6[/tex]

Answer:

Step-by-step explanation:

x + 1 = x - 1 - 1

x + 1 = x - 2              subtract x from both sides

x - x + 1 = x - x - 2

1 = -2   FALSE

Answer: b

Step-by-step explanation:

The total pieces of cake equal 45. 9 pieces are vanilla. This gives the fraction 9/45 which can be simplified to 1/5. P(vanilla)=1/5

Answer:

The mass of the pipe is [tex]465\ g[/tex]

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

[tex]V=\pi [r2^{2}-r1^{2}]L[/tex]

we have

[tex]r2=2/2=1\ cm[/tex] ---> the radius is half the diameter

[tex]r1=1.8/2=0.9\ cm[/tex] ---> the radius is half the diameter

[tex]L=100\ cm[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}[/tex]

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

[tex]m=7.8(59.66)=465\ g[/tex]

Answer:

466

Step-by-step explanation:

Answer:

Because s and t are parallel x=12

Step-by-step explanation:

To get this you have to solve for (4x-12)+120=180 solve for x

4x+12=60

4x=48

=12

The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The sum of the angle (4x - 12)° and (120)° will be equal to 180°. Then the equation is given as,

4x - 12 + 120 = 180

Simplify the equation, then we have

4x - 12 + 120 = 180

4x = 72

x = 72 / 4

x = 18

The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.

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Answer:

B.(-5,-7)

Step-by-step explanation:

According to the rule of rotation if you were to have a 270* clockwise you would first switch the x and y values. Ex: (-7,5) -> (5,-7). next you would make the original y coordinate a negative. (5,-7) -> (-5,-7).

ANSWER

[tex]S_4 = \frac{208}{375} [/tex]

EXPLANATION

The given series is:

[tex]\sum_{n=1}^{\infty} \frac{2}{3} ( - { \frac{1}{5} })^{n - 1} [/tex]

When n=1, the first term is

[tex]a = \frac{2}{3} [/tex]

The sum of terms of a geometric sequence is given by the formula;

[tex]S_n = \frac{a {(1 - {r}^{n} )} }{1 - r} [/tex]

The sum of the first 4 terms is:

[tex]S_4= \frac{ \frac{2}{3} {(1 - { ( - \frac{1}{5} )}^{4} )} }{1 - - \frac{1}{5} } [/tex]

[tex]S_4 = \frac{208}{375} [/tex]

The value for S4 is represented by the third option, [tex]\frac{208}{375}[/tex] .

You can define a geometric sequence when you have a common ratio between the numbers of a sequence. This common ratio can be found when you multiply or divide the previous term by the next term of the sequence and you find the same value. The formula for geometric sequences is:

[tex]a_n=a_1*r^{n-1}[/tex], where:

[tex]a_n[/tex]=[tex]n^{th}[/tex] term

[tex]a_1[/tex]= the first term

Example

2, 4,8, 16, ....

Here, you have:

[tex]a_1[/tex]= 2

[tex]r=\frac{a_2}{a_1}=\frac{a_3}{a_2}=2[/tex] ,  then: 2 x 2= 4; 4 x 2=8; 8 x 2=16 - Note that the numbers represent the example sequence.

For solving this exercise also it is necessary to apply the formula for the geometric sequence for finite terms since the question asks [tex]S_4[/tex], in the other words, the sum for n=4. Thus,[tex]S_n=\frac{a_1*(1-r^n)}{1-r}[/tex].

For the given series, when n=4, you have

                              [tex]\frac{2}{3} *(\frac{-1}{5})^{n-4} \\ \\ \frac{2}{3} *(\frac{-1}{5})^{4-4}\\ \\ \frac{2}{3} *(\frac{-1}{5})^{0}\\ \\ \frac{2}{3} *1=\frac{2}{3}[/tex]

Therefore, [tex]a_1=\frac{2}{3}[/tex].

Now, you will find S4 from the formula for the geometric sequence for finite terms

[tex]S_n=\frac{a_1*(1-r^n)}{1-r}\\ \\ =\frac{\frac{2}{3}\cdot \left(1-\left(-\frac{1}{5}\right)^4\right)}{1-\left(-\frac{1}{5}\right)}\\ \\ \frac{\frac{2}{3}\left(1-\left(-\frac{1}{5}\right)^4\right)}{1+\frac{1}{5}}=\frac{\frac{416}{625}}{\frac{6}{5}}=\frac{416\cdot \:5}{625\cdot \:6}=\frac{208}{375}[/tex]

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ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

[tex]9.4 * 10^{-8} \: < \: 9.25 * 10^{-6} \: < \: 2.5 * 10^3 \: < \: 7* 10^3[/tex]

The correct choice is A.

Answer:

Option A. [tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Step-by-step explanation:

The given numbers are [tex]9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}[/tex].

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

[tex]9.4\times 10^{-8}[/tex] = 0.000000094

[tex]9.25\times 10^{-6}[/tex] = 0.00000925

[tex]2.5\times 10^{3}[/tex] = 2500

[tex]7\times 10^{3}[/tex] = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

[tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Option A. is the answer.

Answer:

C

Step-by-step explanation:

Use a quadratic equation regression calculator.

Plugging in all the points, the equation should come somewhere close to

[tex]y=-0.32x^{2} -1.26x+15.81[/tex]

Which is answer choice C.

Answer:

The correct option is C.

Step-by-step explanation:

Answer:

The required quadratic regression model is [tex]y=x^2-2x-3[/tex].

Step-by-step explanation:

The given data points are (-6,12), (-4,15), (-3,17), (-1,17), (1,15), (2,11), (3,9), (4,6).

From the graph it is clear that the given data forms a U-shaped curve. It means we have to find the quadratic regression model.

The general form of quadratic regression model is

[tex]y=ax^2+bx+c[/tex]

Using technology we get,

[tex]a=-0.32,b=-1.26,c=15.81[/tex]

The required quadratic regression model is

[tex]y=-0.32x^2-1.26x+15.81[/tex]

Therefore the correct option is C.

The answer to this is C.

The simplification of the equation (6.15x + 0.24y / 1.5) + 5.9x - 1.6y is 10x - 2.16y/1.5

(6.15x + 0.24y / 1.5) + 5.9x - 1.6y

= 6.15x + 0.24y + 1.5(5.9x - 1.6y) / 1.5

= (6.15x + 0.24y + 8.85x - 2.4y) / 1.5

= (6.15x + 8.85x + 0.24y - 2.4y) / 1.5

= (15x - 2.16y) / 1.5

= 10x - 2.16y/1.5

Therefore, the answer to the equation is 10x - 2.16y/1.5

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ANSWER

(–5, –11), because the point satisfies both equations

EXPLANATION

The given equations are:

Line A: y = x – 6

Line B: y = 3x + 4

We substitute (-5,-11) into both equations.

Line A: -11 = -5– 6

This implies that,

-11=-11

This statement is true.

Line B: -11= 3(-5)+ 4

-11= -15+ 4

-11=-11

This is also true.

Since this point ,(&6,-11) satisfy both equations, it is their solution.

Answer: It will take 2 hours. 120 minutes. 4 half-hours.

Answer:

Using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

Step-by-step explanation:

You use a bar graph to compare things between different groups, so it is the most appropriate one to use.

You use a pie chart to compare parts of a whole, so it would not be appropriate.

The graph should represent the relative sizes of the two values (24:18 or 1.33:1). Using a square or a cube would distort the relationship. The relative area of the squares would be 1.77:1 and that of the cubes would be 2.37:1.

Charts are used to represent data graphically.

The best way to represent the data is (a) using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

The given parameters are:

[tex]\mathbf{Student = 2.4}[/tex]

[tex]\mathbf{Graduate = 1.8}[/tex]

Both data elements, are for different people.

So, it is best to use a bar chart.

Using a pie chart will imply that, the data elements are part of a whole data for a particular person.

Squares and cubes cannot be used at all.

Hence, the correct option is (a).

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Answer: 600

Step-by-step explanation:

We have, 4% × x = 24

or, 4 100 × x = 24

Multiplying both sides by 100 and dividing both sides by 4,

we have x = 24 × 100 4

x = 600

If you are using a calculator, simply enter 24×100÷4, which will give you the answer.

After 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

The formula for the compounded continuously:

[tex]\rm A = Pe^{rt}[/tex]

r = 6.4% = 0.064

t = 12

P = $12,0000

[tex]\rm A = 12,0000e^{0.064\times12}[/tex]

After solving:

A = $25,865.41

Thus, after 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

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The answer is C. (2,-2) u just search it up online and there are million answers

Answer:

The answer would be D. (2,0)

Step-by-step explanation:

Hope this helps!

Answer:

x = 6

Step-by-step explanation:

To find the x- intercept let y = 0, that is

- [tex]\frac{1}{2}[/tex] x + 3 = 0 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x = - 3 ( multiply both sides by - 2 )

x = 6 ← value of x- intercept

Answer:

6

Step-by-step explanation:

got it right on edge

Answer:

Part 18) Option D 100 square meters

Part 19) Option A 60 cubic meters

Part 19) Option C. 212 cubic centimeters

Step-by-step explanation:

Part 18) Estimate the surface area of the prism

we know that

The surface area of the prism is equal to

[tex]SA=2B+PH[/tex]            

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Find the area of the base B

[tex]B=3.5*7=24.5\ m^{2}[/tex]

Find the perimeter of the base P

[tex]P=2*(3.5+7)=21\ m[/tex]

we have

[tex]H=2.4\ m[/tex]

substitute

[tex]SA=2(24.5)+(21)(2.4)=99.4\ m^{2}[/tex] ----> exact value

Estimate the surface area

we have

[tex]L=3.5=4\ m[/tex] ----> round up

[tex]W=7\ m[/tex]

[tex]H=2.4=2\ m[/tex] ----> round down

Estimate the area of the base B

[tex]B=4*7=28\ m^{2}[/tex]

Estimate the perimeter of the base P

[tex]P=2*(4+7)=22\ m[/tex]

substitute in the formula

[tex]SA=2(28)+(22)(2)=56+44=100\ m^{2}[/tex]

Part 19) Estimate the volume of the prism

The volume of the prism is equal to

[tex]V=BH[/tex]

we have

[tex]B=3.5*7=24.5\ m^{2}[/tex]

[tex]H=2.4\ m[/tex]

substitute

[tex]V=(24.5)(2.4)=58.8\ m^{3}[/tex] ----> exact value

Estimate the volume

we have

[tex]L=3.5=4\ m[/tex] ----> round up

[tex]W=7\ m[/tex]

[tex]H=2.4=2\ m[/tex] ----> round down

Estimate the area of the base B

[tex]B=4*7=28\ m^{2}[/tex]

substitute in the formula

[tex]V=(28)(2)=56\ m^{3}[/tex]    

Part 20) The volume of the prism is equal to

[tex]V=BH[/tex]

we have

[tex]B=6*6.8=40.8\ cm^{2}[/tex]

[tex]H=5.2\ cm[/tex]

substitute

[tex]V=(40.8)(5.2)=212.16\ cm^{3}[/tex] ----> exact value

Estimate the volume

we have

[tex]L=6\ cm[/tex]

[tex]W=6.8=7\ cm[/tex] ----> round up

[tex]H=5.2=5\ cm[/tex] ----> round down

Estimate the area of the base B

[tex]B=6*7=42\ cm^{2}[/tex]

substitute in the formula

[tex]V=(42)(5)=210\ cm^{3}[/tex]    

Answer:

it is 3 i am pretty sure

Step-by-step explanation:

I believe the answer is 3

Answer with explanation:

 y= |x| -1

|x|=x , if x≥0

and = -x , if x<0.

So,the above function can be written as

 [tex]y=\left \{ {{x-1,for, x\geq 0 } \atop {-x-1,for x<0}} \right.[/tex]

First Drawing the graph of

y= x-1 for, x ≥ 0

And , then , y= -x -1 ,for x <0.

and then combining, the two we get.

Answer:

what they said

Step-by-step explanation:

Answer:

m=47, n=52

Step-by-step explanation:

m is equal to 90-43 since 43+m is a right angle (straight angle 180 is composed of two right angles). n is equal to 90-38. If you solve of the missing angle not given a variable, you find n as well because opposite angles are congruent and have the same measure.