solve x+3y=-28
y=-5x using substitution

Answer:

64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27

Step-by-step explanation:

Using the formula for volume, V = s³, then

V = (4x² + 3)³

This may be expanded as

(4x² + 3)(4x² + 3)(4x² + 3) ← expand the first 2 factors using FOIL

= (16[tex]x^{4}[/tex] + 24x² + 9)(4x² + 3) ← distribute by 4x² and 3

= 64[tex]x^{6}[/tex] +96[tex]x^{4}[/tex] + 36x² + 48[tex]x^{4}[/tex] + 72x² + 27 ← collect like terms

= 64[tex]x^{6}[/tex] + 144[tex]x^{4}[/tex] + 108x² + 27

Answer:

[tex]64x^{6}[/tex] + [tex]144x^{4}[/tex] + [tex]108x^{2}[/tex] + 27

Step-by-step explanation:

Answer:

D (2,-2)

Step-by-step explanation:

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

Answer:

10

Step-by-step explanation:

plug the 3 in and multiply it by the 4. subtract the 2 and thats it!

Answer:

a or b

Step-by-step explanation:

Final answer:

The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.

Explanation:

We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:

64 = k√4

Since the square root of 4 is 2, we get:

64 = 2k

Dividing both sides by 2, we find that k = 32, which is the constant of variation.

The correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

To find the value of [tex]$\tan 60^\circ$[/tex] using the unit circle, follow these steps:

Draw the unit circle, which is a circle with a radius of 1 unit centered at the origin (0,0) on the Cartesian coordinate plane.

Identify the point on the unit circle corresponding to [tex]$60^\circ$[/tex]. This point is located in the first quadrant and makes an angle of [tex]$60^\circ$[/tex]with the positive x-axis.

Since the unit circle has a radius of 1, the coordinates of the point corresponding to 60 are:

[tex]$x$-coordinate: $\cos(60^\circ) = \frac{1}{2}$\\$y$-coordinate: $\sin(60^\circ) = \frac{\sqrt{3}}{2}$[/tex]

Now, we'll use the definition of tangent to find [tex]$\tan(60^\circ)$[/tex]:

[tex]$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$\\Substitute the values of $\sin(60^\circ)$ and $\cos(60^\circ)$ into the formula:$\tan(60^\circ) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$[/tex]

Simplify the expression:

[tex]$\tan(60^\circ) = \left(\frac{\sqrt{3}}{2}\right) \cdot \left(\frac{2}{1}\right)$$\tan(60^\circ) = \sqrt{3}$[/tex]

So, the correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

Complete question:

Use the unit circle to find tan 60°.

a. square root 3/3

c. 2 square root 3/3

b. square root 3/2

d. square root 3

Answer:

0.76

Step-by-step explanation:

Answer:

.76

Step-by-step explanation:

Just add them

Answer:

Susan has saved 20 Dollars so far

Answer:

f(x) = x + 3  , if -3 ≤ x < -1

f(x) = 5       , if -1 ≤ x ≤ 1

A number "n" is subtracted from 21

Solution:

Given that, we have to write the given expression as verbal sentence

Given expression is:

21 - n

Here, "minus sign" means subtraction

n is a unknown number

Therefore, we can say,

A number "n" is subtracted from 21

In another we can say,

21 is reduced by a number "n"

Thus given expression is translated into verbal expression

Answer:

all work is pictured and shown

answer is b

Answer:

{x | x ≤ 2}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain = {-9,5,6,-4,3}

Range= {3,1,9,7,2}

Domain is x value and range is y value

The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.

The domain of a function is the values of variable that is entered in a function.

The range of the function is the value that is coming out from solving a function.

We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.

Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.

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Answer:

c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

Kiki has 0.03 cents more than Jordan.

Step-by-step explanation:

so first add 2.48 and 1.69= 4.17

Kiki's amount of money= $4.17

Add 3.05 and 1.09= 4.14

Jordan's amount of money= $4.14

subtract 4.17-4.14=0.03

After adding up the amounts for both Kiki and Jordan, it is determined that Kiki has more money by $0.03.

To find out who has more money, Kiki or Jordan, we need to add up the amounts that each person has in their respective locations and then compare the totals. First, let's calculate Kiki's total amount:

Adding these two amounts gives Kiki a total of $4.17.

Now let's calculate Jordan's total amount:

Adding these two amounts gives Jordan a total of $4.14.

By comparing the two totals, we see that Kiki has more money than Jordan. The difference in their amounts is $4.17 (Kiki's total) - $4.14 (Jordan's total) = $0.03. Therefore, Kiki has three cents more than Jordan.

In a complete sentence: Kiki has more money than Jordan by three cents.

Answer:

10.15 dollars is the answer...

Answer:

1 hour rate = 180 - 5 hour rate = 900

Step-by-step explanation:

To make the whole equation easy divide the number of people by the time.  

75 / 25 = 3

Now the number of people can be adjusted to any amount of time.  

For the hour rate multiply the number of people per minute by 60.

3 x 60 = 180

For the five hour rate use the same exact equation but multiply the 60 by 5 first.

3 ( 60 x 5 ) = 900

Hope this helped.

Find it by multiplying 40 by 1/5.

1/5 is the same thing as .2, by the way. You can use whichever one, whichever one is easiest for you.

1/5(40)=

1 * 40=   40

5 * 1=      5

40 divided by 5 is 8.

The answer is 8. One fifth of the class is 8 students.

Hope this helps!

Answer:

The second option, 0.3 is the probability.

[tex](n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24[/tex]

Solution:

Multiplying polynomials:

Multiplying polynomials is same like multiplying numbers

First, multiply the first term in the first parentheses by all the terms in the second parentheses

Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms

[tex]1)\ (n-4)(n-6)[/tex]

[tex](n-4) \times (n-6) = n^2 -6n -4n +24\\\\Simplify\\\\(n-4) \times (n-6) = n^2 -10n + 24[/tex]

Now let us multiply the second given option

[tex]2)\ (a+5)(a-6)[/tex]

Multiply them together

[tex](a+5)(a-6) = a^2 -6a + 5a - 30\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(a+5)(a-6) = a^2 -a -30[/tex]

Now let us multiply the third given polynomial

[tex]3)\ (4b+6)(b-4)[/tex]

Multiply them together

[tex](4b+6)(b-4) = 4b^2 -16b + 6b - 24\\\\Simplify\ by\ combining\ the\ like\ terms\\\\(4b+6)(b-4) = 4b^2 -10b -24[/tex]

Thus the given polynomials are multiplied

Answer:

See attachment and explanation

Step-by-step explanation:

Assuming f(x) and its g(x) are the graphs shown in the attachment.

Then we have the base function to be

[tex]f(x) = {10}^{x} [/tex]

We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).

Hence the equation of g(x) is

[tex]g(x) = {10}^{x} + 3[/tex]

Answer:

g(x) = 10^x – 3 is the answer

\

Step-by-step explanation:

Step-by-step explanation:

x + 2x + 3x = 180°

6x = 180°

Therefore, x = 30°

2 x = 60°

3x = 90°

Hence, it is a right angled triangle.

Answer:

The triangle is right

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

30-60-90

The largest angle is 90 degrees which means that the triangle is right. (def of right triangle)

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be [tex]x.[/tex]

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

[tex]4(x+7.50)=40[/tex]

Now, to solve the equation for getting the money each boy had after buying his ticket:

[tex]4(x+7.50)=40[/tex]

[tex]4x+30=40[/tex]

Subtracting both sides by 30 we get:

[tex]4x=10[/tex]

Dividing both sides by 4 we get:

[tex]x=\$2.50.[/tex]

Therefore, the money each boy had after buying his ticket is $2.50.

Answer: A

Step-by-step explanation: Acute and isosicles

Answer:

The answer is A. Hope I helped you! ;)))

Step-by-step explanation:

The triangle is acute and is isosceles.

Step-by-step explanation:

Let r be the radius of the circle

The area of a circle is  A = pi * r^2

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 *pi *(7)

C = 14*pi   cm

pi=22/7

C=14*22/7=2.22=44 inches

so,C =44 inches

Answer:

Step-by-step explanation:

To solve the question, apply BODMAS approach. that is solve the brackets, division, multiplication first before the addition and subtraction.

step 1: take the first bracket (4/7 + 8)

[tex]\frac{4}{7} + 8[/tex] is the same as (4/7)+ (8/1). The LCM is 7. multiply each term by the LCM and divide by the denominator.

[tex]\frac{4}{7} + 8[/tex] =  [tex]\frac{(4X1) + (8X7)}{7}[/tex] = [tex]\frac{4+56}{7}[/tex] = [tex]\frac{60}{7}[/tex]

step 2: consider the second bracket (3-(-4))

there is a sign multiplication in the terms. minus (-) x minus (-) = plus (+)

therefore the second bracket (3-(-4)) =  3 + 4 = 7

step 3: multiply both brackets.

(4/7 + 8) x (3-(-4)) = [tex]\frac{60}{7} X 7[/tex] = 60

The answer is 60

The required number would be 5/6 which subtracts from 35/6 to make 5.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have to determine the number which subtracts from 35/6 to make 5.

Let's assume that the required number would be x

As per the given question, the required solution would be as:

⇒ 35/6 - x = 5

Rearrange the terms in the above equation, and solve for x

⇒ x = 35/6 - 5

Take the LCM in the terms

⇒ x = (35 - 30)/6

Apply the subtraction operation in the terms

⇒ x = 5/6

Therefore, the required number would be 5/6.

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Answer:

7900/100*80 = 6320

Step-by-step explanation:

In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.

To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:

1. Calculate the proportion (20%) as a decimal: 20% = 0.20.

2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:

Children = 7,900 * 0.20 = 1,580.

So, in a crowd of 7,900, there are 1,580 children.

This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.

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Answer:

2/3 as a decimal is 0.6 recurring

Step-by-step explanation:

See above

Answer:

3.01 is a decimal and 2/3 as a decimal is .666666666666666666 it keeps going on

Step-by-step explanation:

Answer:

yes,in fact he can do it in just 4 minutes.

Step-by-step explanation:

number of words he can text per hour=1500

number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)

=25 words per minute

number of minutes he has=5.

now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.

he can type 125 words in 5 minutes.

Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.

In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.

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Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation: