Lillian walked 5 miles in 3 hours. What was her walking rate in miles per hour?
3

Answer:

[tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]

Explanation:

first term, a₁ = 1

difference between the terms: -3

where "a₁ is first term" and "r refers to common difference"

[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

By working with percentages, we will see that there are 1,080 seats in the theater.

We know that the students filled 702 seats, leaving 35% vacant.

Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.

So, if the total number of seats is S, we can write:

(65%/100%)*S as the 65% of S.

Then we solve:

(65%/100%)*S = 702

0.65*S = 702

S = 702/0.65 = 1,080

There are 1,080 seats in the theater.

If you want to learn more about percentages, you can read:

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Answer:

Part A: X·8=Y

X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.

4·8=32

Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.

Step-by-step explanation:

The type II error is the probability of accepting the null hypothesis when it's false.

a. From the information, the proportion of parents who passes the sign language test is not less than 25%.

b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.

c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.

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Answer:

D. (-4,0),(-3,0)(3,0)

Step-by-step explanation:

Answer:

you can solve by using the formula

volume = length x width x height

(I'm also bad at math so sorry if this isn't very helpful)

Step-by-step explanation:

1 all the bases are the same which means your length and width should be 5m

2 just multiply 5 x 5 x 14.2 and that should give you the awnser

Answer:

The answer is A

Step-by-step explanation:

The minimum is 52 and the maximum is 65 therefore B and C are false.

Data set total number is 13 D medium is 56

so A is the correct answer

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

Answer:

  168 cm²

Step-by-step explanation:

The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...

  A = 1/2(d1)(d2)

  A = (1/2)(21 cm)(16 cm) = 168 cm²

The area of the rhombus is 168 cm².

6x + 8 < 3x + 4

6x - 3x < 4 - 8

3x < -4

x < - 4/3

Answer:

-4/3

Step-by-step explanation:

For the function f(x), the practical domain will be [0 min, 165 min]

We define the practical domain as the section of the domain that has practical meaning.

In this case, the part of the domain that we care about is only when the rock climber is on the mountain.

After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]

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Answer:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.

Width: area divided by length

14400160=90

The diameter of the circle and the width of the rectangle is 90 meters.

Circumference:

90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90

Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.

160⋅2=320

The perimeter of the​ track is 548.4 meters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the area of the rectangle is 7,200 square meters.

From the figure, length of a rectangle = 120 meter

Here, area of rectangle = Length×Width

120×Width=7200

Width = 60 meter

So, diameter of semicircle is 60 meter.

Radius = 30 meter

Perimeter of track = Perimeter of rectangle + Circumference of two semicircle

= 2(120+60)+2πr

= 360+2×3.14×30

= 360+188.4

= 548.4 meters

Therefore, the perimeter of the​ track is 548.4 meters.

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#SPJ3

When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.

An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.

In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.

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Answer:

Total Payment: $23.52

Savings: $4.15

Tax: $1.44

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

Triangle 1

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

Triangle 2

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

Triangle 3

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

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Answer:

10x^3+8x^2-4x+1 is answer

Number 2 is incorrect :

[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]

Number 1 :

[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)

[tex]3x + 2y = 6[/tex]

[tex] - 3x + y = 12[/tex]

[tex]3x - 3x + 2y + y = 6 + 12[/tex]

[tex]3y = 18[/tex]

[tex]y = \frac{18}{3} = 6[/tex]

[tex]3x + 2y = 6[/tex]

[tex]3x + 2(6) = 6[/tex]

[tex]3x + 12 = 6[/tex]

[tex]3x = 6 - 12[/tex]

[tex]3x = - 6[/tex]

[tex]x = \frac{ - 6}{3} = - 2[/tex]

Answer:

A is the answer

// x = -2(y + 3)2-1

Answer:

  $12,463

Step-by-step explanation:

The amount owed after one month is the sum of the original amount and the interest fee, less the amount paid.

__

The interest fee is 0.5% of $12,600, so is ...

  0.005 × $12,600 = $63

After her $200 payment, the amount Didi owes is ...

  $12,600 +63 -200 = $12,463 . . . owed after 1 month

The decimal value 8.34 written as a ratio of a/b is 417/50

Fractions are values written as a ratio of two integers

Given the decimal value 8.34, we are to convert it to a decimal value as shown:

8.34 = 834/100

834/100 = 417/50

Hence the decimal value 8.34 written as a ratio of a/b is 417/50

Learn more on fractions here: https://brainly.com/question/78672

Answer:

60% test score

Step-by-step explanation:

When x is 6, y is 60

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 *  56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Find out more on volume at: https://brainly.com/question/12410983

Answer:

[A] 2/6

[B] 1/2

Step-by-step explanation:

Given:

A six-faced die is rolled .

To Find:

Find the probability of it landing on a value more than 4

Find the probability of it landing on an even number

Part A:

Knowing that a six-faced die has six number on it (1,2,3,4,5,6)

Thus, the probability of it landing on an value more than 4 is 2/6.

Because 5 and 6 is more than 4

Part B:

1,3,5 = Odd

2,4,6 = Even

Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.

~Lenvy~

To find the volume of a rectangular prism, we can use the following formula:

[tex]V=lwh[/tex]

1000 mL = 1 L

We're given:

To solve this question, we could follow these steps:

Find the volume of the tank

[tex]V=lwh[/tex]

⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]

Divide the volume of the tank by the capacity of the jug

There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:

1.75 × 1000

= 1750

118125 ÷ 1750

= 67.5

It takes 68 full jugs of water to fill the tank.