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Answer:

the drawing would be 2 inches

Step-by-step explanation:

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

Using the perimeter formula to find the width w.

[tex]P=2(l+w)[/tex]

[tex]P = 2l + 2w[/tex]

[tex]2w = P-2l[/tex]

Dividing both sides by 2

[tex]w\:=\:\frac{P}{2}-2[/tex]

as P = 30 cm

[tex]w\:=\:\frac{30}{2}-2[/tex]

[tex]w\:=\:15-2[/tex]

[tex]w = 13[/tex] cm

Using the formula of the rectangle area

[tex]A = wl[/tex]

substitute w = 13 and l = x in the formula

[tex]A=13\times \:x[/tex]

[tex]A = 13x[/tex]

Therefore, the area of the rectangle in terms of 'x' = 13x

Answer:

Step-by-step explanation:

Step-by-step explanation:

12:56pm to 1:00pm = 4 min

1:00pm to 2:00pm = 1 hour

2:00pm to 2:33pm = 33 min

Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.

Answer:

you would be multiplying by 4

Step-by-step explanation:

16*4=65

Answer:  Elevator A

Step-by-step explanation:

30 ÷ 4 =7.2 floors per 6 sec

30 ÷ 3 = 10 floors per 5 scc

Answer:

D. cos 0°

Step-by-step explanation:

[tex] \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree [/tex]

Answer:

i think its 20 cakes

Step-by-step explanation:

1 cake per hour

Answer:

(X + 6 ) ×2

It is given in the question that the no. is increased by 6 so if we take the no. as X the new no. formed is X + 6 now on doubling it the answer we get is. 2(X+6)

The correct algebraic expression is option C) 2(x + 6) matches the expression that represents the number x increased by 6, and then doubled.

Given that : "a number x increased by 6, and then doubled," perform the operations in the correct order.

To represent the given scenario of "a number x increased by 6, and then doubled," required to follow the steps:

Step 1:

Let the number be x.

Increase the number x by 6:

x + 6.

Step 2 :

Double the result by multiply the expression:

(x + 6)2,

Remove brackets by BODMASS gives:

2* x + 2 *6

On multiplying gives:

2x+12

ON taking common factors 2 gives:

2(x+6)

Therefore, the correct expression is 2(x + 6).

Option C) 2(x + 6) matches the expression that represents the number x increased by 6, and then doubled.

Learn more about algebraic expressions here:

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Answer:

[tex]h^\prime(1)=14[/tex]

Step-by-step explanation:

We have the function:

[tex]h(x)=f[f(x)][/tex]

And we want to find:

[tex]h^\prime(1)[/tex]

So, we will differentiate function h. By the chain rule, this yields:

[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]

Then it follows that:

[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]

Using the table, we acquire:

[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]

And using the table again, we acquire:

[tex]h^\prime(1)=7\cdot 2[/tex]

Evaluate. Hence:

[tex]h^\prime(1)=14[/tex]

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.

8 L = 10 h

1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h

or

12 L = 15 h

1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h

Hence, this relationship is proportional.

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore;

[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Answer:

The star has rotational symmetry of order 5.

Step-by-step explanation:

Answer:

y > 3x - 3

Step-by-step explanation:

First off, to write a linear equation or linear inequality, we use the slope-intercept form: y = mx + b, where m represents the slope of a line, and b represents the y-intercept.

The slope of the line is found using rise/run. The rise, in this case, is 3, and the run is 1. 3/1 is 3. So, we can replace the m in the equation with 3 to get:

y = 3x + b

To find b, simply look for where the line crosses the y-axis (vertical line). In this case, it's -3.

The equation you have now is y = 3x + (-3), which is y = 3x - 3.

You're not done yet. A dotted line like here means a point ON the line is not a solution to the equation, so you have to replace the = with < or >. In this case, the shaded region is everything GREATER THAN -3, meaning you use the > (greater than) symbol.

Your final answer is y > 3x - 3.

Hope this helped!

Answer:

Step-by-step explanation:

The other answer should get the Brainliest. Don't neglect awarding it. They are very good to get.

I'm only going to add a graph for you to see. All it does is point out what < and > mean.

As the other responder said, when the boundary is dotted,  it is not included in the shaded part.

Also he pointed the difference between < and >. That is what I wanted to address. It is easy to tell.

< is less than  the boundary and it is blue.

> is greater than, and it is green.

if the line is solid, then ≤ or ≥ is used.

Answer:

1

Step-by-step explanation:

Let's look at the first option in this multiple-choice; 18. 18 is divisible by 18, but is not divisible by 35, so that answer isn't right.

What about 3? 3 is divisible by 18, but it isn't divisible by 35. Let's move on.

7 is divisible by 35, but it isn't divisible by 18.

1 is universally divisible by anything. That doesn't mean it is the greatest common factor, but in this case it is, because none of the other options are a factor of both numbers given. Therefore, 1 is divisible by 18.

Answer:

False :)

Step-by-step explanation:

Answer:

Not a function, therefore false.

Step-by-step explanation:

Maybe this attachment can help.

Answer:

none of these terms are like terms

Answer:

there is  no like terms in this expression

Step-by-step explanation:

there is "a", "b" and "ab"

you cant combine anything because they are all different

Hope this helps!!

Answer:30

Step-by-step explanation:

Steps below. I formed an equation out of the word problem.

Answer:

the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg

(HL theorem only works with a right triangle)

Step-by-step explanation:

The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.

According to the HL Theorem:

A triangle would contain:

Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.

Read more about congruence here:

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Answer:

4095

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Area of a base: 16 × 15 ÷ 2 = 120

Area of sides:

37 × 15 = 555

37 × 16 = 592

37 × 20 = 740

Area of prism: 2 × 120 + 555 + 592 + 740 = 2127

Answer:

4

Step-by-step explanation:

Answer:

25 feet my guy and u deserve a meme scroll down for it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

[tex]m=7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, -7)

Point (2, 7)

Step 2: Find slope m

Substitute the points into the slope formula to find rate of change.

Answer:

t = 7 or t = -1

Step-by-step explanation:

You can use a calculator or:

t² - 6t = 7

-> t² - 6t -7 = 0

-> t² - 7t + t - 7 = 0

-> t(t-7) + (t-7) = 0

-> (t-7) . (t+1) = 0

-> t = 7 or t = -1

Answer:

T = 7

Step-by-step explanation:

How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7

Answer:

[tex]S\le 35h+42[/tex]

Step-by-step explanation:

Given that:

Cleaning supply fee charged by the competitor = $42

The charges by competitor per hour = $35

Let the number of hours = [tex]h[/tex] hours

Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]

Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42

Charges of Suzette's = [tex]S[/tex]

As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.

So, the inequality can be written as:

[tex]S\le 35h+42[/tex]

Where [tex]h[/tex] represents the number of hours.

Given:

A test has 10 questions worth 100 points.

Points of each multiple choice question = 4

Points of each open-response question = 12

To find:

The number of multiple choice questions.

Solution:

Let x be the number of multiple choice questions and y be the open-response questions.

According to the question,

Total question : [tex]x+y=10[/tex]         ...(i)

Total points : [tex]4x+12y=100[/tex]      ...(ii)

Form (i), we get

[tex]y=10-x[/tex]         ...(iii)

Putting this in (ii), we get

[tex]4x+12(10-x)=100[/tex]

[tex]4x+120-12x=100[/tex]

[tex]-8x=100-120[/tex]

[tex]-8x=-20[/tex]

Dividing both sides by -8, we get

[tex]x=\dfrac{-20}{-8}[/tex]

[tex]x=2.5[/tex]

Since x is the number of multiple choice questions, so it cannot be a faction value.

Therefore, the number of multiple choice questions in test are either 2 or 3.