If sofia computed the average daily internet usage of her friends to be higher than the global survey do you think it would be signigicantly

Answer:

Given system of equations:

\(\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}\)

To solve by substitution, equate the equations and solve for x:

\(\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}\)

Therefore, the x-values of the solution are \(x = 0\) and \(x = 4\).

To find the y-values of the solution, substitute the found values of x into the functions:

\(f(0)=-(0)^2+2(0)+3=3\)

\(g(0)=-2(0)+3=3\)

\(f(4)=-(4)^2+2(4)+3=-5\)

\(g(4)=-2(4)+3=-5\)

Therefore, the solutions to the given system of equations are:

\((0, 3)\) and \((4, -5)\)

Answer:

your answer to this question is option c

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Answer:

there were 200 children and 500 adults at the show

Step-by-step explanation:

7x+10y=6400

x+y=700

x=700-y

7(700-y)+10y=6400

4900-7y+10y=6400

-7y+10y=1500

3y=1500

y=500

x=700-y

x=700-500

x=200

the Answer:

200 Children & 500 Adults

Step-by-step explanation:

(A) Set up two equations from the given info:

1) 7C + 10A = 6,400 (amount of money brought in)

2) C + A = 700 (the total amount of people in attendence)

(B) set up a substitution:

A = 640 - 0.7C (can also solve for C, but in this case would be more difficult)

(C) use substitution in the second equation:

C+(640-0.7C)= 700

(D) do the algebra and solve for C:

C= 200

(E) insert the actual value of C back into the equations and solve for A:

200+A = 700 so A=500 (again, you could use either equation, this one is just simpler)

HOPE THIS HELPS!

Answer:

its way to blurry nobody can see

Answer:

x power 2 +2x-8 = - 6x power of 3

Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.

However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.

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Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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The return on portfolio is 4.11%.

The initial investment

Investment in Merck = Number of shares of Merck × Price per share Investment in Merck = 120 shares × $40 per share

Investment in Merck = $4,800

Investment in Yahoo = Number of shares of Yahoo × Price per share Investment in Yahoo = 100 shares × $25 per share

Investment in Yahoo = $2,500

Now, let's calculate the current value of the portfolio

Current value of Merck = Number of shares of Merck × Current price per share

Current value of Merck = 120 shares × $45 per share

Current value of Merck = $5,400

Current value of Yahoo = Number of shares of Yahoo × Current price per share

Current value of Yahoo = 100 shares × $22 per share Current value of Yahoo = $2,200

Current value of the portfolio = Current value of Merck + Current value of Yahoo

Current value of the portfolio = $5,400 + $2,200 Current value of the portfolio = $7,600

To calculate the return on the portfolio, we need to subtract the initial investment from the current value of the portfolio and divide it by the initial investment

Return on portfolio = (Current value of the portfolio - Initial investment) / Initial investment

Return on portfolio = ($7,600 - ($4,800 + $2,500)) / ($4,800 + $2,500)

Return on portfolio = ($7,600 - $7,300) / $7,300

Return on portfolio = $300 / $7,300

Return on portfolio ≈ 0.0411 or 4.11%

Therefore, the return on your portfolio is approximately 4.11%.

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The question is incomplete the complete question is :

Step-by-step explanation:

\(405 \times 405 = \sqrt{164025} \)

Answer:

\(\frac{8}{21}\)

Step-by-step explanation:

\(\frac{2}{7}\) ÷ \(\frac{3}{4}\)

to divide fraction, take the reciprocal of the second fraction and multiply it by the first fraction:

\(\frac{3}{4} = \frac{4}{3}\)

\(\frac{2}{7}\) × \(\frac{4}{3}\)

multiply like normal:

\(\frac{2}{7}\) × \(\frac{4}{3}\) = \(\frac{8}{21}\)

Answer:

8/21

Step-by-step explanation:

2/7 * 4/3 = 8/21

Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative

The pairs of numbers that complete the equations are:

-24 x 4 = -96
-48 ÷ 0.5 = -96



To find the pairs of numbers that complete the equations, we need to look for two numbers that, when multiplied, equal -96 or when one number is divided by the other, the result is -96.

For the first equation, we can find the pair of numbers by dividing -96 by one of the given numbers and then checking if the result is also in the list of given numbers. If it is, then we have found our pair of numbers. We can start by trying to divide -96 by 24, which gives us -4. Since -4 is also in the list, we have found one pair of numbers that complete the equation. We can also try dividing -96 by -2, which gives us 48. Since -48 is also in the list, we have another pair of numbers that complete the equation. However, we need to remember that the question asks us to find different pairs of numbers, so we will only use one of these pairs.

For the second equation, we can find the pair of numbers by multiplying one of the given numbers by a number that gives us -96. We can start by trying to multiply 24 by -4, which gives us -96. Since -4 is also in the list, we have found one pair of numbers that complete the equation. We can also try multiplying -48 by 2, which also gives us -96. Since 2 is also in the list, we have another pair of numbers that complete the equation. Again, we will only use one of these pairs since the question asks us to find different pairs of numbers.

Therefore, the pairs of numbers that complete the equations are:

-24 x 4 = -96
-48 ÷ 0.5 = -96



To find the pairs of numbers that complete the equations, we need to understand the concepts of multiplication and division. Multiplication is a mathematical operation that combines two or more numbers to give a product, while division is a mathematical operation that separates a number into equal parts or groups.

In the first equation, we are given a list of numbers and asked to find two numbers that, when multiplied, give us -96. We can start by dividing -96 by one of the given numbers and then checking if the result is also in the list of given numbers. If it is, then we have found our pair of numbers. If not, we can try dividing -96 by another number until we find a pair of numbers that complete the equation.

For example, we can start by dividing -96 by 24, which gives us -4. We can then check if -4 is in the list of given numbers. Since it is, we have found one pair of numbers that complete the equation: -24 x 4 = -96. We can also try dividing -96 by -2, which gives us 48. We can then check if -48 is in the list of given numbers. Since it is, we have another pair of numbers that complete the equation: 2 x -48 = -96. However, we need to remember that the question asks us to find different pairs of numbers, so we will only use one of these pairs.

In the second equation, we are given a list of numbers and asked to find two numbers that, when one number is divided by the other, the result is -96. We can start by multiplying one of the given numbers by a number that gives us -96. We can then check if the result is in the list of given numbers. If it is, then we have found our pair of numbers. If not, we can try multiplying another number until we find a pair of numbers that complete the equation.

For example, we can start by multiplying 24 by -4, which gives us -96. We can then check if -4 is in the list of given numbers. Since it is, we have found one pair of numbers that complete the equation: -96 ÷ -24 = 4. We can also try multiplying -48 by 2, which also gives us -96. We can then check if 2 is in the list of given numbers. Since it is, we have another pair of numbers that complete the equation: -96 ÷ -48 = 2. Again, we will only use one of these pairs since the question asks us to find different pairs of numbers.

Therefore, the pairs of numbers that complete the equations are:

-24 x 4 = -96
-48 ÷ 0.5 = -96

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Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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Option A is the correct answer. the 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. angles 1 and 2 are supplementary angles so angle 1 must measure 75°.

Two angles are called supplementary when their measures add up to 180° degrees. These angles form a straight angle when they are put together.

Angle 1 and angle 2 are supplementary if Angle1+Angle2= 180°.Thus, Angle 1 and Angle 2 are called "supplements" of each other.

Two angles that lie on opposite sides of the transversal and are placed on two different lines are called alternate exterior angles. These pairs of angles are always equal if the two given lines are parallel.

Two exterior angles that lie on two different lines cut by a transversal and are placed on opposite sides of the transversal are called alternate exterior angles.

Here,105 and ∠2 are alternate exterior angles, ∠2=105 degrees.

Angles 1 and 2 and supplementary

so 180 - ∠2 = ∠1

180-105=75.

∠1 =75 degrees.

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Answer:

A

Step-by-step explanation:

The area of the irregular shape is 84 ft square.

The diagram is a trapezium. A trapezium is a quadrilateral. Therefore, the area of the trapezium can be found as follows:

area of the trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 ft

b = 18 ft

c = 6 ft

area of the trapezium = 1 / 2 (10 + 18)6

area of the trapezium = 1 / 2 (28)6

area of the trapezium = 168 / 2

area of the trapezium = 84 ft²

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Answer:

yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18

Answer:

b

Step-by-step explanation:

just took the test yyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

C

Step-by-step explanation:

9+3*9=36

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

√ = divided into

         \(x^{2}\)- 4x -12

x+4 √ \(x^{3}\)- 0\(x^{2}\) -28x -48

       -(\(x^{3}\) + 4\(x^{2}\))

               -4\(x^{2}\)-28x-48

              -(-4\(x^{2}\)-16x)

                       -12x - 48

                      -(-12x - 48)

                                  0 Remainder

so the answer is D  

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given as,

P(x) = x³ - 28x - 48

Let's check if x + 4 = 0 is a factor or not. Then we have

x + 4 = 0

x = - 4

At x = -4, the value of the polynomial is given as,

P(x) = (-4)³ - 28(-4) - 48

P(x) = - 64 + 112 - 48

P(x) = - 112 + 112

P(x) = 0

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

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Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

Answer:

3332 green beads

Step-by-step explanation:

There are 1428 more green beads than red beads.

There are 3,332 greed beads in the box

Given :

A box contains red, purple and green beads in the ratio 4:6:7

From the given ratio,

number of red beads = 4x

number of purple beads= 6x

number of green beads= 7x

There are 1428 more green beads than red beads.

green  beads =1428 + red beads

\(7x=1428+4x\\3x=1428\\x=476\)

we know that number of green beads= 7x

number of green beads= \(7(476)=3332\)

There are 3,332 greed beads in the box

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Answer:

(x -5)^2 + (y+3)^2 = 7^2

Step-by-step explanation:

mathematically we have the general equation for a circle given its center and the radius as;

(x-a)^2 + (y-b)^2 = r^2

where the center of the circle is (a,b) i.e (5,-3) and the radius of the circle is 7 units

So we have this as;

(x -5)^2 + (y+3)^2 = 7^2

Answer:

\(26\,\sqrt{5} +2\,\sqrt{10}\)

Step-by-step explanation:

We start by using distributive property multiplying the constant term outside the parenthesis times each of the terms inside the parenthesis:

\(2\,\sqrt{5} \,(13+\sqrt{2} )=2*13\,\sqrt{5} +2\,\sqrt{5} \,\sqrt{2} = 26\,\sqrt{5} +2\,\sqrt{5\,*\,2} =26\,\sqrt{5} +2\,\sqrt{10}\)

Answer:

\(\frac{8x^6y^2z^3}{y^8z^3}\)

Step-by-step explanation:

Very complicated of you need steps, comment my answer and I will respond.

Answer:

where are the pictures???

Step-by-step explanation:

Answer:

Where are the answers?

Step-by-step explanation:

Answer:

The steps to do this :

\(2(g - h) = b + 4\)

\(g - h = \frac{b + 4}{2} \)

\(g = \frac{b + 4}{2} + h\)

\(g = \frac{b}{2} + \frac{4}{2} + h\)

\(g = \frac{b}{2} + 2 + h\)

2(g - h)=b + 4

Use the distributive property on the left side:

2g - 2h = b +4

Add 2h to both sides:

2g = 2h + b + 4

Divide both sides by 2:

g = (2h + b + 4)/2

Simplify:

g =  b/2 + 2 + h ( note the order of h, 2 and b/2 can be different)

The length of PR from the similar triangles is PR = 6 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔPQR

And , the measure of ∠ABC = measure of ∠PQR

The measure of ∠BCA = measure of ∠QRP

So , the angles are similar

where the corresponding sides of similar triangles are in the same ratio

On simplifying , we get

x / 5 = 24 / 20

Multiply by 5 on both sides , we get

x = ( 6/5 ) x 5

x = 6 units

Hence , the measure of x from triangle is x = 6 units

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