Find the difference. (−r−10)−(−4r2+r+7)

The width of the rectangular pen is equal to 14 feet.

Given the following data:

To calculate the width of the rectangular pen:

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]78=2(25+W)\\\\78=50+2W\\\\2W=78-50\\\\2W=28\\\\W=\frac{28}{2}[/tex]

Width, W = 14 feet.

Read more on the width of a rectangle here: https://brainly.com/question/17297081

Answer:

tan β = [tex]\frac{7}{24}[/tex]

Step-by-step explanation:

Using the identities

sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then

sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]

cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]

Then

tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]

Answer:

tanβ = 7/24

Step-by-step explanation:

Given:

cscβ = 25/7

secβ = 25/24

tanβ = ?

Recall:

cscβ = 1/sinβ

secβ = 1/cosβ

tanβ = sinβ/cosβ

Rewrite and simplify:

tanβ = sinβ/cosβ

tanβ = (1/cscβ)/(1/secβ)

tanβ = (1/(25/7))/(1/(25/24))

tanβ = (7/25)/(24/25)

tanβ = (7/25)(25/24)

tanβ = (7*25)/(25*24)

tanβ = 175/600

tanβ = 35/120

tanβ = 7/24

Answer:

yeb it is

Step-by-step explanation:

Answer:

yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years

hope this helps

have a good day :)

Step-by-step explanation:

Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.

If this helps, please mark me brainliest!

Have an amazing day!

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex]  can be broken down into three fractions, coefficients, powers of p, powers of q.

[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]

Answer:

X=23

Step-by-step explanation:

Answer:

$2,699.72

Step-by-step explanation:

Given that

The deposited amount is $2,000

The annual rate of interest is 6%

And, the time period is 5 years

We need to find out the amount that would be in the account in the case when it is compounded daily

So,

The following formula should be used

= Deposited amount × e^(rate, time period)

= $2,000 × e^(0.06,5)

= $2,000 × e^0.3

= $2,699.72

Answer:

value of √5 is 2.25

Step-by-step explanation:

it should be on second small mark after 2

Answer:

A

Step-by-step explanation:

The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The graph is plotted between the production of pair of cleats to the marginal cost.

The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].

The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].

The third pair of cleats shows the marginal cost is [tex]\$1[/tex].

The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].

Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

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Answer:

5x=t

x=t/5

This should be your answer

Ok, this is a bit tricky, it might be A or D.

A. Because 'you can go to the movies if you do your homeowork.)

B. Because it just flips things aroudn but it's still correct.

I would think the best choice would be A.

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Have a fabulous day!

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

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The system of equations that represents the number of each type of basket Jake scored is given by:

x + y = 13

2x + 3y = 28

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:

2x + 3y = 28.

He scored a total of 13 baskets, hence:

x + y = 13.

More can be learned about a system of equations at https://brainly.com/question/24342899

Step-by-step explanation:

p< 6b is for p less than 6 times b.

Answer:

6b > p

Step-by-step explanation:

The question is not clear, just in case you are asking the equation.

Answer:

[tex]x=0.5, \\\\x=-4[/tex]

Step-by-step explanation:

Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,

[tex]2x^2 +7x - 4=0[/tex]

In factored form,

[tex](2x-1)(x+4)=0[/tex]

Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),

[tex]2x-1=0[/tex]

Inverse operations,

[tex]2x=1\\x=0.5[/tex]

[tex]x+4=0[/tex]

Inverse operations,

[tex]x=-4[/tex]

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]x =\frac{1}{2},-4[/tex]

[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

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Answer: 704.2  or 704.23 but its most likely the first one.

Hope this helps <3.

Answer:

Step-by-step explanation:

:P  nice points ty :)

find the length of the long diagonal across the tank.  

first find the 2D  diagonal , then use that dist. to find the long 3D diagonal

[tex]C^{2}[/tex] = [tex]3^{2}[/tex]+[tex]4^{2}[/tex]

C = 5    (2D)

now find the 3D

[tex]C^{2}[/tex] = [tex]5^{2}[/tex]+[tex]12^{2}[/tex]

C = 13  inches

( they made it easy ) :)

Answer:

420cm^3 (cubed) = volume when tripled

Step-by-step explanation:

1. when you multiply 7*4*5=140 (volume of the prism originally)

2. 140*3=420 (final answer)

Answer:

A. 140 cm

B. 3780 cm

Step-by-step explanation:

The volume formula for a rectangular prism is lwh, and 7 times 4 times 5 equals 140.

If you triple all those amounts, then you get 21 (7 times 3), 12 (4 times 3), and 15 (5 times 3), and when you multiply those you get 3780.

I hope this helps :)

Answer:

Hello! Hope you having a great morning! Your answer is, B)

Hope this helped! Brainiest plz! Hope you make a 100% and have a nice day!

Answer:

the answer is A

Step-by-step explanation:

i just took the quiz

Answer: [tex]84\ \text{units}[/tex]

Step-by-step explanation:

Given

The length of each cube is [tex]a=14\ \text{units}[/tex]

If there are 6 cubes placed over each other, then the height achieved by the cubes is

[tex]\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}[/tex]

Answer:

its 40 milmeters

Step-by-step explanation:

The question is incomplete. Please see the complete question below

The candy shop made 3 1/18 pounds of chocolate they sold 1 1/4pounds how many pounds of chocolate do they have left

Answer:

15/8

Step-by-step explanation:

The shop made 3 1/8 pound of chocolate

They sold 1 1/4 of chocolates

Hence the number of chocolates left can be calculated as follows

3 1/8-1 1/4

= 25/8-5/4

= 15/8

Answer:

The answer would be B because the y intercept is how much he changes per hour

Answer:

Your answer should be C

Step-by-step explanation:

Letter A was tempting, but 120 for 1 hour. Then 180 for 2.5 means that is had a y intercept. So it couldn't be A. The other ones were easy to rule out because they only told a fraction of what was shown.

Answer:

a) (f + g)(x) = x² - 2x + 3x - 4 = x² + x - 4

domain: x E R

b) (f - h)(x) = x² - 2x - ( - 2x + 1) = x² - 1

domain: x E R

c) (f.g)(x) = (x² - 2x)(3x - 4) = 3x³ - 10x² + 8x

domain: x E R

d)

[tex]( \frac{h}{f} )(x) = \frac{ - 2x + 1}{x {}^{2} - 2x} [/tex]

domain: x E R\{0; 2}

Answer:

Step-by-step explanation:

The total of all angles in the triangle is 180

You already know 2 values for the triangle, Angle A 25 as well as Angle C 90

Your formula is

180 - 90 -25

Answer:

Cos <B = 3/5

Step-by-step explanation:

Find the diagram attached

From the diagram, we have;

Hypotenuse BC = 80

Opposite to <B = AC =64

Adjacent AB = 48

According to SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos<B = AB/BC

Cos <B = 48/80

Express in its simplest form

Cos <B = (16*3)/(16*5)

Cos <B = 3/5

Hence the ratio of cos<B in its simplest form is 3/5

Answer:

f(3)= 12

Step-by-step explanation:

if f(1)= 4 then f(3)= 12

Answer:

Hello! answer: x = 1

Step-by-step explanation:

This triangle will add up to 180 degrees 85 + 64 = 149 180 - 149 = 31 4 × 1 = 4 4 + 27 = 31 therefore x = 1 Hope that helps!