Find the slope for a line that passes through points (-3,-6) and (2,-8).

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

d

Step-by-step explanation:

Just put it equal to 180.

2x+5+4x-11+90=180

6x+84=180

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

\(\mu_{\bar x}=\mu\)

And the standard deviation of the sample means is given by,

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

a

The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25\)

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

\(\text{Average Weight}=\frac{2500}{16}=156.25\)

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

\(P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20\)

Answer:

1.  dividing

2.  faster than

Step-by-step explanation:

Edge 2020

Answer:

The speed of a turtle can be found by distance by time.

   adding

   subtracting

   multiplying

✔ dividing

The speed of the winning turtle was the speed of the other two turtles.

   slower than

   the same speed as

✔ faster than

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

B = -8t + 80

Step-by-step explanation:

An equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, cell phone was 80% charged and it then started to lose 8% charge for each hour thereafter.

Let the charge remaining in Sarah's battery be B and the number of hours be t.

Now, equation is B=-8t+80

Therefore, an equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

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Answer:

is C maybe

Step-by-step explanation:

don't really know just picked

TAnswer: it should be A

Step-by-step explanation:

Answer:

D is the answer

(2x - 3) ( 2x - 3)

(2x × 2x ) + (-3 × 2x) + (2x × 3) + ( -3 × -3 )

4x^2 + -6x + -6x + 9

4x^2 - 6x - 6x + 9

4x^2 - 12x + 9

The probability that they win the next game and player on the New York Liberty being over 73 inches​ is 53% and 50%

We are given that;

Games= 35/35

Now,

We can use the past performance of the Knicks as an estimate of their probability of winning a game. They won 35 games out of 65 games, so their probability of winning a game is:

P(win) = 35/65 P(win) = 0.538

To find the experimental probability of a player being over 73 inches, we need to count how many players are over 73 inches and divide by the total number of players. There are six players who are over 73 inches, so the experimental probability is:

P(over 73 inches) = 6/12 P(over 73 inches) = 0.5

Therefore, by probability the answer will be 53% and 50%.

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Answer:

343

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer:

no keys

Step-by-step explanation:

your answer is -7+16i, because 4-11=-7 and 7i+9i is 16i

Answer:

the third one

Step-by-step explanation:

i took the test :)

We have that the conclusion Keisha make is

\(A+B=\frac{mp+(nq)}{qp}\) from the options below

Therefore

Option C is correct

From the Question we are told that

m, n, p, and q are all integers

\(p \neq 0 q \neq 0\\\\\A=\frac{m}{q} B=\frac{ n}{p}\)

Generally the equation for A.B  is mathematically given as

\(A*B=\frac{m}{q}*\frac{n}{p}\\\\A*B=\frac{mn}{qp}\)

Generally the equation for A.B  is mathematically given as

\(A+B=\frac{m}{q}+\frac{n}{p}\)

Finding LCM of the denominators and adding through we have

\(A+B=\frac{mp+(nq)}{qp}\)

The conclusion Keisha make is

\(A+B=\frac{mp+(nq)}{qp}\) from the options below

Therefore

Option C is correct

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The difference is accounted for by d. all of these

The percentage of the nation is 46.8 percent

The economic condition most likely to be caused by a war affecting oil production in the Mid East would be cost-push inflation

The accurate response is (d) all of these. An overflow in population can influence Gross Domestic Product (GDP) by enlarging the labor force, potentially promoting productivity and efficiency as well as heightening output through more accessible assets and advanced technology. Inflation might also affect GDP by escalating prices and reducing buying capability.

Therefore, the precise answer is (d) 46.8 percent. The Lorenz Curve is a pictorial rendering of income inequality and the Gini coefficient estimates the severity of disparity. According to fresh records, the most affluent 20 percent of households in the United States keep virtually 46.8 percent of the national income.

The economic state maybe instigated by a conflict impacting oil production in the Middle East would be (b) cost-push inflation. A disruption in the offering of petroleum may consequence in elevated construction costs for businesses, which could then pass on such augmented charges to customers via higher rates. This manner of inflation is referred to as cost-push inflation.

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We were told from the question that a sphere and a cube has identical volume of

3375 cm³.

We are to determine if they have identical surface area.

Let's use the cube to determine it.

let the edge of the cube be a cm

Volume of cube = 3375 cm³

recall that the formulas for volume of a cube is:

Volume = a³

So,

a³ = 3375 cm³

let's take square of both sides

a = 3√3375

a = 15 cm

Surface Area of cube = 6a²

= 6(15)²

= 6 * 225

Surface area of cube = 1350 cm²

They won't have identical surface area.

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

(4 + 7i)(4 - 7i)

Step-by-step explanation:

Factors of the form of a conjugate pair always produce a real number

(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is

(a + bi)(a - bi) ← expand using FOIL

= a² - bi² ( i² = - 1)

= a² + b² ← a real number

Thus

(4 + 7i)(4 - 7i)

= 16 - 49i²

= 16 + 49 = 65

Answer:

the correct answer is the last one, (4+7i)(4-7i)

Step-by-step explanation:

The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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A node is a point of no displacement in a standing wave. Therefore, if point P does not move, it is most likely located at a node. the points along the wave that experience maximum displacement are called antinodes.

A node is a point of no displacement in a standing wave, meaning that if the stretched string of the apparatus represented is made to vibrate, point P will not move. Point P is most likely located at a node as it experiences no displacement. A standing wave is created when two waves combine and the resulting wave is stationary. The points along the wave that experience no displacement are called nodes, and the points along the wave that experience maximum displacement are called antinodes. Nodes can be found at points that are integral multiples of half the wavelength of the wave. Therefore, it can be concluded that point P is at a node since it does not move when the string is made to vibrate.

The complete question is :

When the stretched string of the apparatus represented below is made to vibrate, point p does not move. Point p is most probably at the location of _____.

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Answer:

45%

Step-by-step explanation:

27/60 x 100

.45 x 100

45

Answer:

a. 1,323,002

Step-by-step explanation:

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

Answer:

x∈(−25,25)

4x2−25<0

Add 425 to both sides.

x2<425

Calculate the square root of 425 and get 25. Rewrite 425 as (25)2.

x2<(25)2

Inequality holds for ∣x∣<25.

∣x∣<25

Rewrite ∣x∣<25 as x∈(−25,25).

x∈(−25,25)

Answer:  x > 5/4

First, add 25 to both sides

4x² < 25

Then take the square root

4x < 5

Finally, isolate the variable by dividing by 4

x < 5/4

Because you divided, the sign gets flipped

x > 5/4

Hope this helps!

Step-by-step explanation:

We know that the area of an equilateral triangle of side a cm is

Let a cm here be 9√3 then we could get our solution.

\( \rm\implies \rm 9 \sqrt{3} = \cfrac{ \sqrt{3} }{4} \: a {}^{2} \)

\( \implies \rm \: \cfrac{ \sqrt{3} }{4} {a}^{2} = 9 \sqrt{3} \)

\( \implies \rm \: a {}^{2} = 36\)

\( \implies \rm \: a = \sqrt{36} = \sqrt{6 \times 6} \)

\( \implies \rm \: a = 6 \: cm\)

Thus, the side of the equilateral triangle is 6 cm.

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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The value of length m is 2.13cm

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

therefore m² = k²+l²+2klCos M

m² = 4.4²+3.1²+ 2× 3.1×4.4cos 150

m² = 19.36+9.61+27.28(-0.8660)

m² = 28.97-23.62

m² = 5.35

m = √5.35

m = 2.31 cm( nearest tenth)

Therefore the measure of length m is 2.31 cm

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Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation: