What is 3x?
I’m confused because I know x is the variable. So let’s say x=30. Do I multiply it like 3 • 30 = 90?

3x=90

I'm not 100% sure but I think it's 53.1

Answer:

A

Step-by-step explanation: if u read closely and think about it hard enough youll see

Answer:

[tex]Y = 20.239[/tex]

Step-by-step explanation:

Given

[tex]Y = 9.1411 + 0.4775X[/tex]

Required

The predicted value of [tex]Y[/tex] when [tex]X = 23.2417[/tex]

To do this, we substitute [tex]X = 23.2417[/tex] in the given equation

So, we have:

[tex]Y = 9.1411 + 0.4775X[/tex]

[tex]Y = 9.1411 + 0.4775 * 23.2417[/tex]

[tex]Y = 9.1411 + 11.0979[/tex]

[tex]Y = 20.239[/tex]

Answer:

10000

Step-by-step explanation:

4^2 (100) = 1600

so,

10^2 (100) gives us our answer of 10000

Answer:

9,114.81 ft³

Step-by-step explanation:

The solid is composed of a cylinder and a hemisphere

Volume of the solid = volume of the cylinder + volume of the hemisphere

= πr²h + ⅔πr³

Where,

r = 8 ft

h = 40 ft

Plug in the values into the equation

Thus:

Volume of the solid = π*8²*40 + ⅔*π*8³

= 8,042.4772 + 1,072.33029

= 9,114.80729

= 9,114.81 ft³ (nearest hundredth)

Answer:

g(Los Angeles) = California

Step-by-step explanation:

The function g that associates each U.S. city with the state it resides in.

This means that the input of the function is an U.S. city, and the output is the state of the city.

For example:

g(Buffalo) = New York

What is g(Los Angeles)?

Los Angeles is in California. So

g(Los Angeles) = California

search in to find answer

Answer:

y = 4x + 3 is in what is called "slope-intercept" form or "y=mx+b" form which is the easiest form for graphing. The "3" is called the "y-intercept" and is where the line crosses the y axis.

Step-by-step explanation:

Answer:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Step-by-step explanation:

Because the function is symmetric about the y-axis, using the cosine function is most appropriate.

Refer to the equation for a cosine function:

[tex]f(x)=acos(bx+c)+d[/tex]

Amplitude: [tex]|a|[/tex]

Period: [tex]\frac{2\pi}{|b|}[/tex]

Phase shift: [tex]-\frac{c}{b}[/tex]

Midline: [tex]y=d[/tex]

The amplitude would be the average of the maximum and minimum y-values of the function, which would be [tex]|a|=|\frac{5-1}{2}| =|\frac{4}{2}| =|2|=2[/tex].

The value of [tex]b[/tex] in [tex]\frac{2\pi}{|b|}[/tex] represents the length of the period, so since the length of the period is [tex]2\pi[/tex], this means that [tex]b=\frac{2\pi}{|2\pi|} =1[/tex].

The phase shift, [tex]-\frac{c}{b}[/tex], describes the horizontal shift of a function. Because the phase shift is [tex]-\frac{\pi}{2}[/tex], then we can set up the equation [tex]-\frac{\pi}{2}=-\frac{c}{1}[/tex] where we determine [tex]c=\frac{\pi}{2}[/tex].

The midline (or vertical shift), [tex]d[/tex], is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line [tex]y=3[/tex], therefore, [tex]d=3[/tex].

Putting all our information together, your final equation is:

[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]

Answer:

5761

Step-by-step explanation:

Using trigonometry to solve the question which has been represented by the attached triangle :

To obtain the value of h, altitude of airplane ;

Tan x = opposite /Adjacent

Tan 32 = 3600 / h

h = 3600 / tan 32

h = 3600 / 0.6248693

h = 5761.2043

A prism Always has two congruent, parallel bases.

Step-by-step explanation:

f(x)=x^2-4x-9

g(x)=-3x-5

so when f(g(x)) that x is a number

-3x-5 equals the number in f(x) so that x is -3x-5

f(-3x-5) and if f(x)=x^2-4x-9

then inserting in -3x-5 for x in f(x) and distrubute

(-3x-5)^2-4(-3x-5)-9

9x^2+42x+36

I hope that helps :)

Answer:

9x^2 + 42x + 16

Step-by-step explanation:

f(g(x))

Plug in the expression for g(x)

f(g(x)) = f(-3x - 5)

f(x) = x^2 - 4x - 9

For every x in f(x) replace it with -3x - 5

f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9

Expand

f(-3x - 5) =  (9x^2 + 30x + 25) + (12x + 20) - 9

Combine like terms

f(-3x - 5) = 9x^2 + 42x + 16

f(g(x)) = 9x^2 + 42x + 16

Answer:

60

Step-by-step explanation:

The measure of ∠ATS is 120. The measure of a straight angle is always going to be 180 degrees. So first, we subtract 120 from 180 to find the measure of the interior angle.

∠STR = 180 - 120

= 60

The measure of all the interior angles in the triangle ΔSTR is 180 degrees.

180 - 60 - 60

= 60

The measure of ∠TSR is 60 degrees.

alice fox's step is 3/5 m and basil cat's step is 4/5m.

note: i will be using 1/5m instead of 20 cm to keep the units consistent

1. Set up table

     | Step Length | # of steps | Distance

A   |    x                 |    240/x     |   240

B   |       x+1/5       |  240/x+1/5 |   240

2. set up equation

240/x  -  100 = 240/x+0.2

3. Multiply the bases to make it:

240x+48 - 100x^2 -20x = 240x

=    100x^2-20x+48=0

4. Use vieta's theorem or quadratic equation to solve for x

x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative

5. plug back in

A   |    3/5  

B   |       3/5+1/5

so: alice fox's step is 3/5 m and basil cat's step is 4/5m.

hope this was helpful!!

Answer:

Alice Fox’s step is 3/5, and Basil cat’s step is 4/5.

Step-by-step explanation:

9514 1404 393

Answer:

  414.5 cm³

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  LA = 2πrh

Then the radius is ...

  r = LA/(2πh)

The volume of the cylinder is given by ...

  V = πr²h

Using the above expression for r, this becomes ...

  V = π(LA/(2πh))²h = LA²/(4πh)

  V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³

The volume of the cylinder is about 414.5 cm³.

Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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9514 1404 393

Answer:

  f(x, y) = (-x-3, y-3)

Step-by-step explanation:

Reflection across the y-axis is ...

  r(x, y) = (-x, y)

Translation left and down 3 units each is ...

  t(x, y) = (x -3, y -3)

Then the composition of reflection then translation is ...

  f(x, y) = t(r(x,y)) = t(-x, y)

  f(x, y) = (-x-3, y-3)

Answer:

8j

Step-by-step explanation:

hope this helps!

here, on solving  company reduced the size of their percentage  container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

The initial size was x.

Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.

90% of the original size is equal to 4.5 ounces,

hence the calculation we use to determine the original size x is:

0.9 x = 4.5 x

= 4.5 / 0. 9 x = 5

The bottle's initial capacity was 5 ounces.

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Answer: free allah long live

Step-by-step explanation:

46564

Answer:

2.5 litres

Step-by-step explanation:

Answer:

the closest i can get is 30

Step-by-step explanation:

I'm sorry if it isn't right

===========================================================

Explanation:

Each tickmark on the graph represents a distance of 2 units. From A to P is 4 tickmarks, so that corresponds to 2*4 = 8 units. That's one of the bases. The other base is TR = 2. The bases are parallel to one another.

The height is always perpendicular to the base, and the height is 2*3 = 6 units.

So we have

b1 = 8, b2 = 2, and h = 6

Which means,

A = h*(b1+b2)/2

A = 6*(8+2)/2

A = 6*10/2

A = 60/2

A = 30

------------------------------

As a slightly longer alternative, we can plot points at (-2, 0) and (-2, -2). Let's call these two points M and N respectively. These two points subdivide the trapezoid into three pieces: Two triangles sandwiching a rectangle.

Add up those sub-areas to get the full area of the trapezoid:

12+12+6 = 30

Solution :

a). The required linear regression model is

Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]

b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000

Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.

The p-value for the variable "Number of bidders" is 0.1940

Since [tex]$\text{p-value}$[/tex]  is not less than [tex]$0.05$[/tex], so it is significant to the model.

c). We cannot say that model is significant because variable " the number of bidders" is not significant.

But as both variables have positive coefficient so as the variable increases the price received for the item also increased.

The length of ribbon is 48 yards.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kala got a prepaid debit card with $15.

Price of Ribbon = 24 cents per yard.

After purchase money left $3.48.

So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents

length of ribbon = 1152/ 24

                           = 48 yards

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Answer: y = 85 - 6x

Step-by-step explanation:

Number of napkins remaining: y

Number of tables set: x

Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.

[tex]-6x[/tex]

These napkins are being removed from the total of 85 napkins:

[tex]85 - 6x[/tex]

The above equation also expresses the number of napkins remaining. Writing it as a proper equation:

[tex]y = 85 - 6x[/tex]

The final answer is: y = 85 - 6x

Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:

Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."

In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.

But it only makes when we compare it to other iterations on the line such as 2 and 6.

Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:

3/3 = 1

6/3 = 2

Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:

0, 3, 6, 9, etc.

Thus, the missing numbers are:

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Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.

Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.

The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.

Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.

So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.

Also given the time he took for lunch is half an hour.

Therefore, The total hour he worked is 7:30 hours.

He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).

= $56.25.

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Answer:

i can be ur free tutorrrrr

Step-by-step explanation:

Answer:

im in 7th grade too, ill help

Step-by-step explanation:

The total cost of the 74 shirts will be;

⇒ $432

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Now,

Since, The equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Hence, For 74 shirts, the cost is fund by substitute x = 74 in above equation,

⇒ y = 5x + 62

⇒ y = 5 × 74 + 62

⇒ y = $432

Thus, The total cost of the 74 shirts = $432

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