Use negative exponents rule. Use expanded notation.

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

Answer: cups of cake mix: 19/24 cups of water: 11/64

Step-by-step explanation:

Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

We have,

The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]

Applying the power rule, we differentiate each term as follows:

[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]

d/dx (5) = 0 (since 5 is a constant)

Combining these derivatives, we get:

dy/dx = 12x³ - 6x² - 7

Therefore,

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

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[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Answer:

16

Step-by-step explanation:

4x3=12 tins of white paint

12+4=16 total tins

The total number of tins used by the Peony will be 16.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that Peony mixes red paint and white paint in a ratio of 1:3 She uses four tins of red paint.

The Number of red tins,

R = 4 x 1 = 4

The number of white tins,

W = 4 x 3 = 12

Total number of tins,

T = R +W

T = 4 + 12

T = 16

Therefore, the total number of tins used by the Peony will be 16.

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Answer:

161.75

Step-by-step explanation:

45.28 divided by 7 = 6.47

6.47 per cande

6.47 times 25 = 161.75

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?  

Answer:

4w=w*3*1/2w

Step-by-step explanation:

4w=w*3*1/2w

Answer:

3 1/5

Step-by-step explanation:

Okay, this is a standard division problem, so our equation is:

2 2/5 ÷ 3/4

but then we have to covert the mixed number to an improper fraction:

12/5 ÷ 3/4

do the cross thingy:

4/5 x 4/1 = 16/5 = 3 1/5

So Jason can cut 3 1/5 sections or 3 if you round

9514 1404 393

Answer:

  72 feet

Step-by-step explanation:

Triangle JKM is similar to triangle PQM, so we have ...

  JK/KM = PQ/QM

  JK/(60 ft) = (6 ft)/(5 ft)

  JK = (60 ft)(6/5)

  JK = 72 ft

The height of the cliff is 72 feet.

Answer:

70x+4^2+3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

The factored form is (8x) (12x + 11)

Answer:

Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.

The GCF of 96x2 and 88x  ✔ 8x

Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)

The factored form of the expression is ✔ 8x(12x + 11)

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Answer:

B. (-2,-1), (3,4)

Step-by-step explanation:

Got it on edge

Answer:82feet tall

Step-by-step explanation:

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

Answer:

10.75

Step-by-step explanation:

Answer:

2:55 P.M.

Step-by-step explanation:

First, add the amount of time Jim played outside; 45+55=100

100 minutes is equal to 1 hour 40 minutes.

If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.

Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.

To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.

Hope this helped !!!

Step-by-step explanation:

Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.

Answer:

x² + 4x + 9

Step-by-step explanation:

This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)

3x² - 2x² = x²

-x + 5x = 4x

7 + 2 = 9

So all together its x² + 4x + 9.

m/4-7= -3

m/4-7+7= -3+7

=> 16

Ans. Value of m is 16.

Hope this helps!

Answer:

Answer is 1 because it -3+7/4=1

Answer:

Step-by-step explanation:

Using the Pythagoras theorem equation:

[tex]c^{2}=a^{2}+b^{2}[/tex]

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

[tex]17^{2}=8^{2}+b^{2}[/tex]

[tex]b=\sqrt{225}[/tex]

[tex]b=15[/tex]

2) Here a = 24, b = 45 and c = ?  

[tex]c=\sqrt{24^{2}+45^{2}}[/tex]

[tex]c=51[/tex]

3)  Here a = 28, b = 96 and c = ?

[tex]c=\sqrt{28^{2}+96^{2}}[/tex]    

[tex]c=100[/tex]

4)  Here a = 17, b = ? and c = 28

[tex]b=\sqrt{28^{2}-11^{2}}[/tex]  

[tex]b=25.75[/tex]

Just in the 4 case x is an altitude.

I hope it helps you!

Answer:

It's 54

Step-by-step explanation:

Answer:

me either dude

Step-by-step explanation:

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

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

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.

Answer:

14

Step-by-step explanation:

You can put it as a fraction like so:

2/1 divided by 1/7

Use the strategy KCF (Keep, Change, Flip)

2/1 x 7/1

=2x7

=14

Answer:

4t

Step-by-step explanation: