Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{1}{25}}[/tex]

When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:

[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]

Answer:

Answers

product, and assign a number to each person. ... 0.82. 12–13. 9. 0.18. 1.00. Total. 50. 1.00. F requency. 0. 1. 2. 3. 4. 5. 6. 7. 8 ... 3.12 (a) x = 25661.3333, ˜x = 25514.5 (b) Skewed ... N(8.25, 0.0002857).

Answer:

the answer is c

Step-by-step explanation:

i just took the test

Answer:

[tex] x(x {}^{2} + xy + y {}^{2})[/tex]

Step-by-step explanation:

[tex]x {}^{3} + x {}^{2}y + xy {}^{2} = x(x {}^{2} + xy + y {}^{2})[/tex]

Hope this helps ;) ❤❤❤

Answer: The solution of these inequalities are similar because they begin at two, however they are different because in the first inequality two cannot be an answer hence the open circle ⭕️, but the second inequality can have two as a solution hence the closed circle.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

the x after the 10 is literally just 1

so 10 x 1  =10

-10 + 10 = 0

Answer:  4/7

Step-by-step explanation:

the number of chairs = 7

the number of cushions = 11

Every chair has at least 1 cushion. There are 7 chairs so 7 cushions are used.

There is a total of 11 cushions and 7 cushions are already distributed to the chairs so there are 4 chairs with a 2nd cushion.

Chairs with 2 cushions ÷ Total chairs = 4/7

Answer:

y² + x²

Step-by-step explanation:

Given

(y + x)² - 2xy ← expand (y + x)² using FOIL

= y² + 2xy + x² - 2xy ← collect like terms

= y² + x²

Ans2x + 2y -2xy

Step-by-step explanation:

First You need to distribute 2 to both x and y. 2x + 2y-2xy

Answer:

[tex]\Large \boxed{{c<6}}[/tex]

Step-by-step explanation:

2>c/3

Multiply both sides of the inequality by 3.

2(3)>c/3(3)

6>c

Switch sides.

c<6

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

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Let's solve your inequality step-by-step.

[tex]2 > \frac{c}{3}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]2 > \frac{1}{3}c[/tex]

Step 2: Flip the equation.

[tex]\frac{1}{3}c < 2[/tex]

Step 3: Multiply both sides by 3.

[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]

Answer : [tex]\boxed {c < 6}[/tex]

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Have a great day/night!

❀*May*❀

Answer:

GCF = x

Step-by-step explanation:

The greatest common factor is "x"

[tex]5\,x^2+3\,x=x\,(5x+3)[/tex]

it is the only common factor we can extract from both terms

Answer:

[tex]\large \boxed{\mathrm{B. \ 6}}[/tex]

Step-by-step explanation:

Length AB is similar to length DE.

Scale factor = DE/AB

Scale factor = 12/2

Scale factor = 6

The required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF which is the correct option (B).

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

Length AB is similar to length DE.

Here triangle ΔABC is dilated to form triangle ΔDEF

Length of the side DE = 12

Length of the side AB = 2

As we know scale factor is the ratio of sides in the original image and the image after dilation.

Scale factor = DE/AB

Substitute the values of the length of the side DE and AB,

Scale factor = 12/2

Apply the division operation, and we get

Scale factor = 6

Therefore, the required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ5

Answer:

$11,280

Step-by-step explanation:

Plug in 150 as p into the equation to solve for the cost, C:

C = 30 + 75p

C = 30 + 75(150)

C = 30 + 11,250

C = 11,280

= $11,280

Complete question:

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answer:

111 students

Step-by-step explanation:

Given the following :

Margin of Error (E) = 0.28

Population standard deviation (sd) = 1.5

Recall:

Margin of Error(E) = Z * (sd/√n)

Taking a confidence interval of 95%

The Z value at a 95% confidence interval is 1.96

Plugging our values, we have :

Margin of Error(E) = Z * (sd/√n)

0.28 = 1.96 * (1.5/√n)

0.28 = 2.94 / √n

√n × 0.28 = 2.94

√n = 2.94 / 0.28

√n = 10.5

Square both sides to obtain n

n = 10.5^2

n = 110.25

Answer:

Step-by-step explanation:

3a - 9= 15

To solve the equation send the constants to the right side of the equation

That's

3a = 15 + 9

simplify

3a = 24

Divide both sides by 3

[tex]\frac{3a}{3} = \frac{24}{3}[/tex]

The final answer is

a = 8

Hope this helps you

Answer:

a = 8

Explanation:

Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.

3a - 9 = 15

3a - 9 + 9 = 15 + 9

3a = 24

Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.

3a = 24

3a/3 = 24/3

a = 8

Since we have fully isolated the variable, a, we have determined its value.

Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.

Answer:

12.57

Step-by-step explanation:

The formula to solve the circumference of a circle is:

2 x PI x R (radius)

=> 2 x PI x 2

=> 4 PI or 12.57

Answer:

If we have a system of linear equations:

y = a*x + b

y = c*x + d

And the graphs of the equations are the same line, this means that both lines have the same equation, then:

a = c and b = d.

Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.

Another way to see this is:

When we have a system of linear equations, the solution is the point where the lines intersect.

But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.

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          Hi my lil bunny!

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A) Let's solve for x.  [tex]2x + 3y = 40[/tex]

Step 1: Add -3y to both sides.

[tex]2x + 3y + -3y = 40 + -3y[/tex]

[tex]2x = -3y + 40[/tex]

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]

[tex]x = \frac{-3}{2} y + 20[/tex]

Answer : [tex]\frac{-3}{2} y + 20[/tex]

~~~~~~~~~~~~~~~~~

B) Let's solve for x. [tex]5x + 2y = 30[/tex]

Step 1: Add -2y to both sides.

[tex]5x + 2y + -2y = 30 + -2y[/tex]

[tex]5x = -2y + 30[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]

[tex]x = \frac{-2}{5} y + 6[/tex]

Answer : [tex]\frac{-2}{5} y + 6[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

Step-by-step explanation:

To evaluate the expression substitute the values of a , b , c and d into the above expression

a = - 9

b = - 7

c = 9

d = 3

So we have

2cd + 3ab = 2(9)(3) + 3(-9)(-7)

= 2(27) + 3( 63)

= 54 + 189

We have the final answer as

Hope this helps you

Answer:

y=-2x+4

x | y

0 | 4

2 | 0

Step-by-step explanation:

Answer:

[tex]19.79 - 2.8 = 16.99gallons[/tex]

Answer:

x = 300

Step-by-step explanation:

of means multiply and is means equals

25% * x = 75

Change to decimal form

.25x = 75

Divide each side by .25

.25x/.25 = 75/.25

x = 300

Answer:

300

Step-by-step explanation:

Assume the unknown value is 'Y'

75 = 25% x Y

75 = 25/100 x Y

Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:

Y = 3 x 100/25

Y = 300%

Answer: 75 is 25 percent of 300

Answer:

The lateral area of the figure = 480 m²

The surface area = 720 m²

Step-by-step explanation:

By definition, we have;

The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid

The surface area is the area of the entire surface = Lateral area + The other surface areas of the object

For a pyramid, the surface area =   Lateral area  + Area of base

The figure in the question is a pentagon based pyramid with five triangles on the sides

The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height

The lateral area of the figure = 5 × 12 × 8 = 480 m²

The lateral area of the figure = 480 m²

The surface area = Area of the base + Lateral surface area

Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem

Perimeter of the pentagon = 5 × 12 = 60 m

Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m

∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²

∴ The surface area = 240 +480 =720 m²

The surface area = 720 m²

Answer:

t=0.64

Step-by-step explanation:

h = -16t^2 +4t +4

We want h =0 since it is hitting the ground

0 = -16t^2 +4t +4

Using the quadratic formula

a = -16  b = 4  c=4

-b ± sqrt( b^2 -4ac)

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

         2a

-4 ± sqrt( 4^2 -4(-16)4)

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

         2(-16)

-4 ± sqrt( 16+ 256)

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

         -32

-4 ± sqrt( 272)

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

         -32

-4 ± sqrt( 16*17)

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

         -32

-4 ± sqrt( 16) sqrt(17)

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

         -32

-4 ± 4 sqrt(17)

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

         -32

Divide by -4

1 ±  sqrt(17)

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

         8

To the nearest hundredth

t=-0.39

t=0.64

Since time cannot be negative

t=0.64

Answer:

0.64  

Step-by-step explanation:

0 = -16t^2 + 4t + 4

-4(4t^2 - t -1) = 0

t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)

t = 0.64, -0.39

answer is 0.64

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

Answer:

english i think u need hekp

Answer:

1.417

Step-by-step explanation:

102/72=1.417

Answer:

  21, 29, 71, 79

Step-by-step explanation:

Only integers ending in 1, 3, 7, or 9 have powers that end in 1. For the numbers so ending, their sequences of powers mod 100 have a repeat length that is a divisor of 20. That is, raising any of these numbers to the 762nd power mod 100 is equivalent to squaring them, mod 100.

For example, the powers of 29 mod 100 are, beginning with the first power, ...

  {29, 41, 89, 81, 49, 21, 9, 61, 69, 1}

This sequence is of length 10, typical of many of the numbers ending in 1, 3, 7, or 9.

The only positive integers less than 100 whose squares end in 41 are ...

  21, 29, 71, 79 . . . . . positive integers < 100 satisfying n^762 mod 100 = 41

Answer:

Step-by-step explanation:

This is a parabola. If we plot the vertex and the focus, we see that the focus is below the vertex. What this tells us is that the parabola opens "upside down" since the parabola wraps itself around the focus. If it opens upside down, then the format for the equation is

[tex]4p(y-k)=-(x-h)^2[/tex]

where p is the distance between the vertex and the focus (4), h is the first coordinate of the vertex (0), and k is the second coordinate of the vertex (0). Filling in the formula then:

[tex]4(4)(y-0)=-(x-0)^2[/tex] which simplifies down to

[tex]16y=-x^2[/tex] and then finally,

[tex]y=-\frac{1}{16}x^2[/tex]

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( [tex]\dfrac{1}{\sqrt{2}}[/tex] )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

Explanation:

The number -1/2 is rational as it is a fraction or ratio of two integers (-1 and 2). We can never have 0 in the denominator. Since it is rational, it means the number is not irrational. Recall that "irrational" means "not rational", so it is the opposite of rational.

-1/2 = -0.5 is not a whole number as it has a fractional or decimal portion. This means -1/2 is not an integer either, nor is it a natural number. The negative portion is another reason to exclude -1/2 from the list of whole numbers and natural numbers.

But we can say that -1/2 = -0.5 is a real number. Any number you encountered so far is a real number until you get to the complex numbers.

Answer:

space is the capacity that an object or shape weigh