Evaluate the expression for the given values of the variables:

4(c + 5) - f^4; c = -1, f = 4

Answer:

6x+9

(2x+3)3

you would distribute 3 into 3 and 2x to get...

6x+9

Answer:

12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)

Step-by-step explanation:

assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes

[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]

Answer:

D. 63

Step-by-step explanation:

Corresponding angles are equal.

Answer:

the answer would be 63.

explanation:

the angles are corresponding therefor they are equal.

Answer:

A train backed up 7 ft and then moved forward 7 ft

Step-by-step explanation:

When the train moved back 7 feet, it would be negative, -7. Then it went forward again 7 feet. The train is in the same place as it was before, 0.

Answer:

The mark-up percentage is 70%

Step-by-step explanation:

Let us revise the rule of the mark-up percentage

[tex]M=\frac{S-P}{P}[/tex] × 100%, where

let us use this rule to solve the question

∵ The buyer purchased leather couches in bulk, paying $750 each

∴ P = 750

∵ The stores will sell each leather couch for $1,275

∴ S = 1,275

→ Substitute them in the rule above

∴ [tex]M=\frac{1275-750}{750}[/tex] × 100%

∴ [tex]M=\frac{525}{750}[/tex] × 100%

∴ M = 70%

∴ The mark-up percentage is 70%

Answer:

2.828

Step-by-step explanation:

Answer:

6302.40

Step-by-step explanation:

STEP 1: Find 20 percent of 5252

[tex] \frac{20}{100} \times 5252 \\ = \frac{5252}{5} = 1050.4[/tex]

STEP 2: Add the result to the initial money

[tex]5252 + 1050.4 = 6302.4[/tex]

Hence, the answer is Rs. 6302.40

Answer:

-4/3, -4/5, -2/3, 7/10, 7/8

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

8 + 6.9x = 0

(Setting equation to 0 to figure out what x could be)

6.9x = -8

(Subtract 8 to both sides to isolate the x)

X = -8/6.9 or -1.15942

(Divide 6.9 to isolate x and you get your answer)

Answer:

(−12.5) (11.5) = −143.75 Or -12.5 < 11.5

Step-by-step explanation:

hope this helps

Answer:

|-12.5|>|11.5|

Step-by-step explanation:

When you take the absolute value of a number you're essentially measuring the scalar value or magnitude of that number. "How big is that number as a number not as in + or -".

In other words the number becomes positive

|-12.5|=12.5

|11.5|=11.5

since 12.5>11.5

we can then say

|-12.5|>|11.5|

Answer: A

Step-by-step explanation: took the test

The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) -  sin(x)²

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Let revise the identities of double an angle

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

cos(2x) = 2 cos²(x) - 1

cos(2x) = 1 - 2 sin²(x)

The equation

∵ cos(2x) = cos(x + x)

cos(x)cos(x) -  sin(x)sin(x)

cos²(x) -  sin(x)²

The identity is cosine double angle identity for cosine difference

Learn more about trigonometric;

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Answer:

See below.

Step-by-step explanation:

Answer:

0.390625 grams

Step-by-step explanation:

can i get a second opinion on this

Answer:

3.2 units to nearest tenth.

Step-by-step explanation:

cos 29 = x /3.7      (cosine = adjacent side / hypotenuse)

x = 3.7 * cos 29

= 3.236

Answer:

-7+9=2

-9+7=-2

they both are equal to the same number so my answer to this question would be true.

hope this helps...

Answer:

D

Step-by-step explanation:

1/24x = 1/6

Multiply 1/6 by the reciprocal of 1/24 which is 24/1

Therefore;

X = 1/6 × 24/1

X = 4

Answer:

x=7

Step-by-step explanation:

3x+5x-2+18=180

26x-2=180

26x=182

x=7

Answer: D

Step-by-step explanation:

Equivalent when u use x=2

Answer:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

First, since both end behaviors are the same, our function must be an even-degree.

Second, since both end behaviors are going towards negative infinity, this means that the leading coefficient of our function must be negative.

The real zeros are whenever the graph touches or crosses the x-axis. We can see that this happens three times. I've circled them in blue in the image below.

Finally, relative minimum values are the lowest points in a graph, and then happen between a decreasing and then an increasing curve.

From, the graph, we only have one relative minimum value. This is circled in black in the image below.

Note that the arrows whether the curve is decreasing or increasing. We can see that the curve to the left of the minimum is decreasing, while the curve to the right of the minimum is increasing.

So, our solution is:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

And we're done!

[tex] - 5(x - 10) = - 50[/tex]

[tex] - 5x + 50 = - 50[/tex]

[tex] - 5x = - 50 - 50[/tex]

[tex] - 5x = - 100[/tex]

[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]

[tex]x = 20[/tex]

After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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Step-by-step explanation:

for example 1)8,9,12,8,7,11,3,9,5

we need to find average

first add all the numbers =72

we divide by how many number we havein data base which is 9 (mean count how many numbers we have)

72/9=8

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let v represent the value of the account after y years. Hence:

For Juana:

[tex]v=1500(1.03)^y[/tex]

Marquez invests three years before Juana,  Hence:

[tex]v'=1500(1.03)^{y+3}=1500(1.03)^y(1.03)^3=(1.03)^3*v=1.092727v[/tex]

Calvin invests two years after Juana. Hence:

[tex]v"=1500(1.03)^{y-2}=1500(1.03)^y*(1.03)^{-2}=(1.03)^{-2}v[/tex]

v' / v" = ((1.03)³ * v) / ((1.02⁻²) * v) = 1.159 = 115.9%

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

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