Linda wants to replace a glass window in her restaurant. The window is in the shape of a square. It’s side lengths are 9 feet. Suppose glass costs $6 for each square foot. How much will the glass cost to replace the window?

Answer:

1/4 are white. So, 3/4.

Step-by-step explanation:

Answer:

∠RUS = 90°

Step-by-step explanation:

PT is a line. This means that it has a measure of 180°

This means that all of the angles that it is broken up into must add together to equal 180°.

In this case, ∠PUQ +∠QUR +∠RUS +∠SUT =  180°

As we have the measures for all of the angles aside from ∠RUS, we can solve for that

First, let us input each of the measures of the angles

39+23+∠RUS+28=180

Now all we need to do is isolate ∠RUS by subtracting everything to the other side

Once that is done, we get

∠RUS = 90°

Answer:

[tex]\large\boxed{m\angle RUS=90^o}[/tex]

Step-by-step explanation:

[tex]m\angle PUT=m\angle PUQ+m\angle QUR+m\angle RUS+m\angle SUT\\\\\text{We have:}\\\\m\angle PUT=180^o,\ m\angle PUQ=39^o,\ m\angle QUR=23^o,\ m\angle SUT=28^o\\\\\text{Substitute:}\\\\180^o=39^o+23^o+m\angle RUS+28^o\\\\180^o=90^o+m\angle RUS\qquad\text{subtract}\ 90^o\ \text{from both sides}\\\\90^o=m\angle RUS[/tex]

Answer:

10,000

Step-by-step explanation:

14,500      *4 is less that five.

round it down and you get

Answer:

B

Step-by-step explanation:

edge

The scatterplot that has a stronger correlation is B.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The correlation coefficient helps us to know how strong is the relation between two variables.

The value is always between +1 to -1, where, the numerical value shows how strong the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.

-1 indicates a strong negative relationship.

A result of zero indicates no relationship at all, therefore, an independent variable.

Since the scatterplot is the relationship between the two variables and as in the first graph the value of a single x can return multiple values for y.

Therefore, the scatterplot that has a stronger correlation is B.

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Answer:

Step-by-step explanation:

The answer is C because V = s3 → 729 = s3 → 9 = s

Therefore, SA = 6s2 = 6(9)2 = 486 cm2

Answer:

c are the correct answer

Answer:

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:

That is, we represent the operations defined above mathematically:

1) [tex]y = \log x[/tex]

2) [tex]y = \log 2\cdot x[/tex]

3) [tex]y = \log 2\cdot x + 3[/tex]

In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

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Answer:

No, it will not pass through origin.

Step-by-step explanation:

Given:

The equation of the line is:

[tex]y=5683x+976[/tex]

The coordinates of the origin are [tex]x=0,y=0[/tex]. So, if the line passes through the origin, then the 'y' value at [tex]x=0[/tex] must be 0.

Let us check the 'y' value at [tex]x=0[/tex].

Plug in [tex]x=0[/tex] in the above equation. This gives,

[tex]y=5683\times 0 + 976[/tex]

[tex]y=0+976[/tex]

[tex]y=976[/tex]

So, at [tex]x=0[/tex], the value of 'y' is 976 which is not equal to 0.

Hence, it will not pass through the origin as for [tex]x=0[/tex], the value of 'y' is not 0.

The equation y = 5683x + 976 has a y-intercept of 976, not 0; hence it does not pass through the origin.

To determine whether the equation y = 5683x + 976 will pass through the origin, you need to check if the point (0,0) satisfies the equation. An equation of a line will pass through the origin if its y-intercept is 0. The y-intercept is the value of y when x is 0. Looking at the given equation, if we substitute x with 0, we get y = 5683(0) + 976, which simplifies to y = 976. Therefore, the y-intercept is 976, not 0. This means the line does not pass through the origin since the y-intercept is a point on the y-axis located at (0, 976).

Answer:

7.5

Step-by-step explanation:

5(x+2)-4(x+1)

5x+10-4x-4

5x-4x+10-4

x+6

1.5+6=7.5

Answer:

7.5

Step-by-step explanation:

Substitute 1.5 into the equation

5(1.5+2) − 4(1.5+1)

5(3.5) − 4(2.5)

17.5 - 10 = 7.5

Explanation:

Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.

So, lets move forward.

A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.

So,

In  [tex]a+ib[/tex],

For example, let us consider

[tex]2 + \sqrt{-1}[/tex]

Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.

Keywords: complex number, iota

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Answer: $22,241.32 APEX

Final answer:

By calculating the present value of an annuity using the monthly payment, interest rate, and number of payments, we find that Bryce can afford a car with a value of approximately $22,241.32.

Explanation:

To calculate the value of the most expensive car Bryce can afford based on a $350-per-month car payment with a 6-year loan at an APR of 4.2%, compounded monthly, we use the formula for the present value of an annuity:

PV = PMT × ¶ [(1 - (1 + r)^-nt) / r]

Where:

PV = Present Value (what we're solving for, the cost of the car)

PMT = Monthly Payment ($350)

r = monthly interest rate (APR divided by 12)

n = number of times the payment is made per year (12)

t = number of years (6)

Given:

APR = 4.2% per year or 0.042

Monthly interest rate, r = 0.042 / 12 = 0.0035

nt = 12 × 6 = 72 payments in total

Now we substitute the given values into the formula:

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]

PV ≈ $350 × [(1 - (1.0035)^-72) / 0.0035]

Using a calculator to find (1.0035)^-72 and then the whole expression, we get:

PV ≈ $350 × 60.4774

PV ≈ $21,167.09

The value that's closest to our calculation and offered in the options is $22,241.32, so the most expensive car Bryce can afford is approximately $22,241.32.

. -6,-3,0,3,6,9,12

Answer:

. -6,-3,0,3,6,9,12

Answer:

54

Step-by-step explanation:

144 divided by 8 is 18

so that means that their hourly rate 18 pizzas per hour

so multiply 18 by 3 and get 54

Given that Pizza Land can deliver 18 pizzas per hour, they can deliver 54 pizzas in three hours.

The question is asking us to figure out how many pizzas can be delivered in 3 hours, if Pizza Land can deliver 144 pizzas in 8 hours. This is a rate problem. To solve it, we first need to find out how many pizzas are delivered per hour. We do this by dividing 144 (the total number of pizzas delivered) by 8 (the total number of hours). This gives us 18 pizzas per hour.

Now that we know how many pizzas are delivered per hour, we can multiply this by 3 (the number of hours we are interested in) to get the total number of pizzas that can be delivered in 3 hours. So, 18 pizzas/hour x 3 hours gives us 54 pizzas that can be delivered in 3 hours.

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Answer:

multiply the whole number by the denominator, then add the number you get to the numerator.  :) hope this was helpful!!!

Step-by-step explanation:

Answer: You have to multiply the Main number by the denominator, then add the numerator to that number, and put it above the original denominator.

Step-by-step explanation:

Answer:

17/20

Step-by-step explanation:

2 1/4=9/4

1 2/5=7/5

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

9/4-7/5

45/20-28/20

17/20

Step-by-step explanation:

taking that blank as x

5/2 -x = 1/3

the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3

so the equation will become 5/2-1/3=x

solving the fraction then gives 13/6 or 2.17 as the value of x

The value of the equation is x = 13 / 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the unknown number be represented as x

Substituting the values in the equation , we get

( 5/2 ) - x = 1/3   be equation (1)

Adding x on both sides of the equation , we get

( 5/2 ) = ( 1/3 ) + x

Subtracting ( 1/3 ) on both sides of the equation , we get

x = ( 5/2 ) - ( 1/3 )

On simplifying the equation , we get

x = ( 15 - 2 ) / 6

x = 13 / 6

Therefore , the value of x is 13/6

Hence , the equation is x = 13/6

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500 guitar picks

order 15 boxes with 9 picks each

sell 19 boxes with 10 picks each

-> the store ordered about 150 picks (15 x 9 -> 15 x 10)

-> the store sold about 200 picks (19 x 10 -> 20 x 10)

it is reasonable, since they have 50 fewer picks which is about 450.

(second option)

Answer:

-5x + 3(10x - 8)= 51

-5x + 30x - 24 = 51

25x - 24 = 51

25x = 75

x = 3

y = 10(3) - 8

y = 30 - 8

y = 22

(3, 22)

The total weight of the can with tennis balls is 200 grams

Step-by-step explanation:

Let b be the weight of one ball

and

c be the weight of can

Then

c = 20 grams

b = 60 grams

The weight of three balls will be:

[tex]3b\\=3*60\\=180\ grams[/tex]

Hence,

The total weight will be:

[tex]c+ 3b\\= 20+180\\= 200\ grams[/tex]

So,

The total weight of the can with tennis balls is 200 grams

Keywords: Measurement, weights

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Answer:

200

Step-by-step explanation:

He invested $6500 in bonds

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

Assume that Mike invested $x in stocks and $y in bonds

∵ Mike invested $x in stocks

∵ Mike invested $y in bonds

∵ Mike invested a total of $25,000

∴ x + y = 25000 ⇒ (1)

∵ The interest rate of the stocks is 7%

∴ r of the stocks = 7 ÷ 100 = 0.07

∴ I (stocks) = x(0.07)(1)

∴ I (stocks) = 0.07x

∵ The interest rate of the bonds is 11%

∴ r of the bonds = 11 ÷ 100 = 0.11

∴ I (bonds) = y(0.11)(1)

∴ I (bonds) = 0.11y

∵ Mike earned $2010 interest on his investments

- Equate the sum of I (stocks) and I (bonds) by 2010

∴ 0.07x + 0.11y = 2010 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.11 to eliminate y

∵ -0.11x - 0.11y = -2750 ⇒ (3)

- Add equations (2) and (3)

∴ -0.04x = -740

- Divide both sides by -0.04

∴ x = 18500

- Substitute the value of x in equation (1) to find y

∵ 18500 + y = 25000

- Subtract 18500 from both sides

∴ y = 6500

∵ y represents the amount of money he invested in bonds

∴ He invested $6500 in bonds

He invested $6500 in bonds

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Answer:

No solution

Step-by-step explanation:

To eliminate is to get rid of one of the variables.

You can choose to either add each term in the equations or subtract each term in the equation.

For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.

Try adding them.

.     y - x = 15

+    y - x = 5

2y - 2x = 20   No variables were eliminated.

Try subtracting.

.     y - x = 15

-     y - x = 5

0y - 0x  = 10   All variables were eliminated.

.         0 = 10     This is false.

This system of equations cannot be solved.

Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.

Answer:

No solution

Step-by-step explanation:

4(a+2)=8+4a-2

4a+8=8+4a-2

0+8=8-2

0= -2

no solution

Answer:

no solution

Step-by-step explanation:

Given

4(a + 2) = 8 + 4a - 2 ← distribute left side

4a + 8 = 6 + 4a ( subtract 8 from both sides )

4a = - 2 + 4a ( subtract 4a from both sides )

0 = - 2 ← not possible

This indicates the equation has no solution

Answer:

Harry rides further.

Step-by-step explanation:

First, you have to find the least common denominator of 8 and 5, which is 40.

3*5=15, 2*8=12

Hope this helps!!!

Karen rides farther.

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles, we are asked to find who rides farther,

Harry's distance = 25 3/8 = 203/8

Karen's distance = 25 2/5 = 127/5

Subtracting Harry's distance by Karen's distance,

203/8 - 127/5

= 1015-1016/40

= -1/40

Since, the result is in minus that means 127/5 is greater than 203/8.

Therefore, Karen's covers more distance than Harry.

Hence, Karen rides farther.

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Answer:

the answer is 12

Step-by-step explanation:

[tex] = (3 + 2(6) - 1) - 3(3) + 7 \\ = (14) - 9 + 7 \\ = 14 - 2 \\ = 12[/tex]

Answer:   im going to solve it in one second

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the answer choices are in slope-intercept form.

The slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Answer:

B

Step-by-step explanation:

Answer:

Fred paid US$ 310 to Social Security as a payroll tax

Fred paid US$ 72.50 to Medicare as a payroll tax

Fred paid 18% of his income to the Federal government as an income tax

Fred paid 5% of his income to the state government as an income tax

Step-by-step explanation:

Fred's earnings in June were $ 5,000

A. Payment to Social Security

5,000 * 6.2% = 5,000 * 0.062 = 310

B. Payment to Medicare

5,000 * 1.45% = 5,000 * 0.0145 = 72.50

C. Federal Income Tax

900/5,000 = 0.18 = 18%

D. State Income Tax

250/5,000 = 0.05 = 5%

Final answer:

Calculating net income, monthly income, and tax rates based on Fred's earnings in June.

Explanation:

Mathematics

Calculate the Net Annual Income for Fred:

Calculate Monthly Income for Fred: $3,867.50 / 12 = $322.29

Percent Rates of Taxes Paid by Fred:

Answer:

[tex]\large \boxed{y + 1 = 4(x - 1)}[/tex]

Step-by-step explanation:

The point-slope formula for a straight line is

y - y₁= m(x - x₁)

x₁ = 1; y₁ = -1; m = 4  

Substitute the values

[tex]\begin{array}{rcl}y - (-1) & = & 4(x - 1)\\y + 1 & = & 4(x - 1)\\\end{array}\\\text{The equation for the line in point-slope form is $\large \boxed{\mathbf{y + 1 = 4(x - 1)}}$}[/tex]

The figure shows the graph of the equation with slope 4 passing through (1, -1).

The point-slope form of the equation for the line that passes through the point (1, –1) with a slope of 4 is [tex]y + 1 = 4(x - 1).[/tex]

To select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4, we use the formula [tex]y - y1 = m(x - x1),[/tex] where (x1, y1) are the coordinates of the given point and m is the slope of the line. In this case, the point-slope form of the equation becomes [tex]y + 1 = 4(x - 1).[/tex]

This equation represents a line with a slope (slope) of 4, which means for every one unit increase in x, y increases by 4 units. The equation is structured around a specific point, (1, –1), highlighting the characteristic of point-slope form that the line passes through the given point.

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Answer:

f = 100 + 0.133d

Step-by-step explanation:

For each trip, they charge an initial fee of 100 in addition to a constant fee for each vertical meter climbed.

For example, for 3000 meters of climbing, they charged the additional constant fee of 400.

Therefore, per meter climbing they charges [tex]\frac{400}{3000} = 0.133[/tex].

Therefore, if f represents the fee in dollars of a trip they climbed d vertical meters then we can model the situation as  

f = 100 + 0.133d (Answer)