Please help!! I'm super confused about this question..

We can use the distributive property and the greatest common factor to write 36 + 4 as 4(9 + 1) or 4(10).

Using the distributive property, we can write:

36 + 4 = 4(9 + 1)

Next, we can identify the greatest common factor (GCF) of 9 and 1, which is 1. Since there are no other common factors between 9 and 1, we can write:

9 + 1 = 10

Therefore, we can express 36 + 4 as:

36 + 4 = 4(9 + 1) = 4(1 × 9 + 1) = 4(10)

So, 36 + 4 can be written as the product of 4 and 10, where 4 is the GCF of 36 and 4, and 10 is the sum of the two terms divided by their GCF. This is an example of factoring by grouping, which can be a useful technique in algebra and other areas of mathematics.

To learn more about distributive follow the link:

https://brainly.com/question/5637942

#SPJ1

Spencer will have spent 56 minutes on the phone in total while routing 28 phone calls.

If Spencer spent 10 minutes while routing 5 phone calls, the unit rate of time spent on the phone per phone call is;

10 minutes ÷ 5 phone calls = 2 minutes/phone call

Therefore, the unit rate tells us that Spencer spent an average of 2 minutes on the phone for each of the 5 phone calls he routed.

To find how much time Spencer will spend on the phone in total while routing 28 phone calls, we can use the unit rate as a conversion factor;

Total time on the phone = (Number of phone calls) x (Time per phone call)

Total time on the phone = 28 phone calls x (2 minutes/phone call)

Total time on the phone = 56 minutes

Therefore, Spencer will have spent 56 minutes on the phone.

To know more about Total time on the phone here

https://brainly.com/question/18994285

#SPJ1

Answer:

Given information:

To obtain the equation of the regression line for the given data.

The equation of regression line of y on x is given by:

y

−

¯

y

=

b

y

x

(

x

−

¯

x

)

;

w

h

e

r

e

,

y

=

d

e

p

e

n

d

e

n

t

v

a

r

i

a

b

l

e

x

=

i

n

d

e

p

e

n

d

e

n

t

v

a

r

i

a

b

l

e

b

y

x

=

s

l

o

p

e

o

f

r

e

g

r

e

s

s

i

o

n

l

i

n

e

¯

x

=

m

e

a

n

o

f

x

¯

y

=

m

e

a

n

o

f

y

y−y¯=byx(x−x¯);where,y=dependentvariablex=independentvariablebyx=slopeofregressionlinex¯=meanofxy¯=meanofy

The calculations for the equation of regression line is tabulated below:

The regression coefficient of y on x is given by:

b

y

x

=

∑

x

y

−

1

n

∑

x

∑

y

∑

x

2

−

1

n

(

∑

x

)

2

=

1944

−

1

5

×

98

×

69

2580

−

1

5

(

98

)

2

=

591.6

659.2

=

0.898

byx=∑xy−1n∑x∑y∑x2−1n(∑x)2=1944−15×98×692580−15(98)2=591.6659.2=0.898

Mean of x is calculated as:

¯

x

=

1

n

∑

x

=

1

5

×

98

=

19.6

x¯=1n∑x=15×98=19.6

Mean of y is calculated as:

¯

y

=

1

n

∑

y

=

1

5

×

69

=

13.8

y¯=1n∑y=15×69=13.8

The equation of regression line is given as:

y

−

¯

y

=

b

y

x

(

x

−

¯

x

)

y

−

13.8

=

0.898

(

x

−

19.6

)

y

=

0.898

x

−

3.8

y−y¯=byx(x−x¯)y−13.8=0.898(x−19.6)y=0.898x−3.8

Therefore, the required equation of regression line is y = 0.898x - 3.8.

Answer:

3/5

Step-by-step explanation:

cause it is

Answer:

The ratio of green apples to red apples is 6:7.

Step-by-step explanation:

The ratio of all apples in the basket to red apples is 13:7 (since there are 13 total apples and 6 of them are green, leaving 13-6=7 red apples).

The total amount of money that Mavis with 33 nickels, 67 dimes, 19 quarters, and 14 fifty-cent pieces has is C. $20.10.

The total amount that Mavis has can be determined by the multiplication of the cents based on their unit values.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

33 nickels = $1.65 (33 x $0.05)

67 dimes = $6.70 (67 x $0.10)

19 quarters = $4.75 (19 x $0.25)

14 fifty-cents = $7.00 (14 x $0.50)

Total amount = $20.10

Thus, Mavis has a total amount of $20.10.

Learn more about multiplication at https://brainly.com/question/4721701.

#SPJ1

The requried total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.

Let's break down the different transactions and calculate the total change to Rob's funds:

Bought 5 rabbits for $10 each: 5 x $10 = $50 spent
Returned 2 rabbits: 2 x $10 = $20 received
Found 2 twenty dollars bills: 2 x $20 = $40 received
Bought 2 desks for $30 each: 2 x $30 = $60 spent

To calculate the total change to Rob's funds, we can add up the amounts received and subtract the amounts spent:
$20 + $40 - $50 - $60 = $-50

Therefore, the total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.

Learn more about integers here:

https://brainly.com/question/15276410

#SPJ1

The area of the parallelogram  will be equal to 60 in²

Since it's a parallelogram so,  area of a parallelogram is the product of the base and the height of the figure.

area of a parallelogram = Base x Height

We are given that area of a parallelogram = Base x Height

A = bh

A =  6×1 0

A = 60 in²

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

The number of  hours it would take 6 pipes to fill 1/4 of the lake is 4.5 hours

Given that

It takes 4 of the pipes 12 hours to fill the lake.

This means that

Rate = 12 hours/4 pipes

So, we have

Rate = 3 hours/ pipe

For 6 pipes to fill 1/4 of the lake. we have

Time = 3 hours *6 * 1/4

Evalaute

Time = 4.5 hours

Hence, the time taken is 4.5 hours

Read more abuot rate at

https://brainly.com/question/24178013

#SPJ1

Orthogonal matrix A that satisfies the given conditions is:

[3 3 0 ]

[1/√(2) -1/√(2) √(2/9)]

[-√(2)/2 √(2)/2 √(2)/2]

Let's call the first row of matrix A as r1, which is a multiple of (3, 3, 0). Since the length of a row vector of an orthogonal matrix is always 1, we can find a unit vector that is orthogonal to (3, 3, 0).

One such vector is (3, -3, 2), which can be verified by checking that the dot product of (3, 3, 0) and (3, -3, 2) is zero.

To obtain the second row of A, we can normalize the vector (3, -3, 2) to have a length of 1. This gives us:

(3, -3, 2)/√(18) = (1/√(2), -1/√(2), √(2/9))

To obtain the third row of A, we can take the cross product of the first two rows to get a vector that is orthogonal to both. This gives us:

(3, 3, 0) x (1/√(2), -1/√(2), √(2/9)) = (-2√(2)/3, 2√(2)/3, 2√(2)/3)

We can then normalize this vector to obtain the third row of A:

(-2√(2)/3, 2√(2)/3, 2√(2)/3)/√(8/9) = (-√(2)/2, √(2)/2, √(2)/2)

Therefore, the orthogonal matrix A that satisfies the given conditions is:

[3 3 0 ]

[1/√(2) -1/√(2) √(2/9)]

[-√(2)/2 √(2)/2 √(2)/2]

Learn more about Orthogonal matrix.

brainly.com/question/31426997

#SPJ11

The measure of angle BAC in the given shaded right triangle is approximately 45 degrees.

Let's start by labeling the sides of the triangle. We are given that BC = 3, AC = 3, and BA = 4.24. We can use the Pythagorean theorem to find the length of the missing side, which is opposite the right angle at C. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:

BA² = BC² + AC²

Substituting the given values, we get:

4.24² = 3² + 3²

Simplifying and solving for 4.24², we get:

4.24² = 18.0176

Taking the square root of both sides, we get:

4.24 ≈ √18.0176

Now we can use the trigonometric ratio of sine to find the measure of angle BAC. The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In other words:

sin(BAC) = AC / BA

Substituting the given values, we get:

sin(BAC) = 3 / 4.24

Using a calculator to evaluate the right-hand side, we get:

sin(BAC) ≈ 0.7071

Finally, we can use the inverse sine function (also called arcsine) to find the measure of angle BAC. The inverse sine function takes a ratio and gives us the angle whose sine is that ratio. In other words:

BAC = arcsin(sin(BAC))

Substituting the calculated value of sin(BAC), we get:

BAC = arcsin(0.7071)

Using a calculator to evaluate the right-hand side, we get:

BAC ≈ 45°

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

The expression that is equivalent to 43,450,000 when simplified is 4.345 x 10⁷

43,450,000 is the numerical expression given, and it can be simplified by breaking it down into its factors of 10.

In scientific notation, a number can be expressed in the form of a x 10^b, where a is a number between 1 and 10 and b is an integer that represents the number of places the decimal point has been moved.

To simplify 43,450,000, we can write it as

4.345 x 10⁷

This is because we have moved the decimal point seven places to the left.

So, the expression that is equivalent to 43,450,000 when simplified is

4.345 x 10⁷

This notation is commonly used in science and engineering to represent very large or very small numbers, as it makes it easier to work with such values.

Learn more about scientific notation here

brainly.com/question/18073768

#SPJ4

True. A circular mil is a unit of measurement used in electrical engineering and is defined as the area of a circle with a diameter of one mil (0.001 inch) which is equivalent to a circumference of one mil.

The statement "A circular mil is a circle with a circumference of one mil" is true. A circular mil is a unit of area used to measure wire and cable cross-sectional sizes, and it is defined as the area of a circle with a diameter of one mil (1/1000 of an inch).

Thus, A circular mil is a unit of measurement used in electrical engineering and is defined as the area of a circle with a diameter of one mil (0.001 inch) which is equivalent to a circumference of one mil.

Know more about the circular mil

https://brainly.com/question/29186256

#SPJ11

The value of x and y can be found using the Pythagorean Theorem and the law of sines;

x = 3·√(17)

y ≈ 7.37

The Pythagorean Theorem states that the square of the length of the longest side of a right triangle (the hypotenuse side) is equivalent to the sum of the squares of the other two sides of the right triangle

The value of y can be obtained from the law of sines as follows;

5/(sin(36°)) = y/(sin(60))

y = (sin(60)) × 5/(sin(36°))

(sin(36°)) = √((10 - 2·√5))/4

(sin(60)) = √(3)/2

y = (sin(60)) × 5/(sin(36°)) = √(3)/2 × 5 × 4/√((10 - 2·√5)) = 10·√(3)/√((10 - 2·√5)) ≈ 7.37

The value of x can be found using the Pythagorean Theorem as follows;

x² = 12² + 3² = 144 + 9 = 153

x = √153 = 3·√(17)

Learn more on the Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ1

The value of z is 20 in.

What is triangle?

A polygon that has three sides and three angles is called triangle.

In triangle QWX, we have WX || RS, so by the intercept theorem, we have:

QW/WX = QR/RS

Substituting the given values, we get:

z/(3y) = 20/(20 + y)

Cross-multiplying, we get:

20z + 3y² = 60y

We also know that:

QW + WX = QX

Substituting the given values, we get:

z + 3y = 3y

Simplifying, we get:

z = 0

Substituting this value of z into the equation we derived earlier, we get:

20z + 3y² = 60y

0 + 3y² = 60y

Dividing both sides by 3y, we get:

y = 20

Therefore, the value of z is:

z = QW = QX - WX = 3y - 2y = y = 20

So, z = 20

Therefore required value of z is 20 in.

Learn more about triangle here,

https://brainly.com/question/27827375

#SPJ1

The equation provided is: ρ²(sin²(φ)sin²(θ) + cos²(φ)) = 16, This equation is in spherical coordinates,

where ρ represents the radial distance from the origin, φ is the polar angle (or the angle between the positive z-axis and the vector), and θ is the azimuthal angle (or the angle between the positive x-axis and the projection of the vector onto the xy-plane).

Now, let's analyze the equation further: 1. Divide both sides of the equation by 16 to isolate ρ²: ρ² = 16 / (sin²(φ)sin²(θ) + cos²(φ)) 2. Take the square root of both sides to find ρ: ρ = √(16 / (sin²(φ)sin²(θ) + cos²(φ))).

From this, we can see that the surface is defined by the radial distance ρ, which depends on the angles φ and θ. This indicates that the given equation represents a 3-dimensional surface in spherical coordinates.

To know more about equation click here

brainly.com/question/649785

#SPJ11

The probabilities are given as follows -

A) P(X = 11) = 2/36

B) P(X ≤ 6) = 5/12

The probability mass function for the sum X of the two dice is given by table A. See same attached.

The cumulative mass function (CMF) for X is given by the cumulative sum of the probabilities in the probability mass function is given by table B. See same attached.

To draw the probability mass function and the cumulative mass function, we can plot the values of P(X) and P(X <= x) against X, respectively.

The probability of getting a even value is computed as follows

P(X is even) = P(X = 2) + P(X = 4) + P(X = 6) + P(X = 8) + P(X = 10) + P(X = 12)

= 1/36 + 3/36 + 5/36 + 5/36 + 3/36 + 1/36

= 18/36

P(X is even) = 1/2

The probability that for a single roll of the two dice, the sum of the dots is equal to 11   P(X = 11) = 2/36

= 1/18

The probability of obtaining a value of 6 or less is  P(X < = 6) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

= 1/36 + 2/36 + 3/36 + 4/36 + 5/36

= 15/36

P(X ≤ 6) = 5/12

Learn more about probability:
https://brainly.com/question/11234923
#SPJ4

The vertex of the absolute value function is (-3, 2).

The range of the function is 2 < y < ∞.

Option C is the correct answer.

We have,

To find the vertex of the given absolute value function, we can first find the vertex of the related linear function, which is y = 2x + 6.

The vertex of this linear function is (-3, 0), obtained by setting x = -3 to find the minimum value of the linear function.

Since the given absolute value function has the same shape as the related linear function but is shifted up by 2 units,

The vertex of the absolute value function is (-3, 2).

To find the range of the function, note that the absolute value of 2x + 6 is always non-negative.

Thus, the smallest possible value of the function is 2 (when 2x + 6 = 0) and the function is unbounded above.

Therefore, the range of the function is 2 < y < ∞.

Therefore,

The vertex of the absolute value function is (-3, 2).

The range of the function is 2 < y < ∞.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

The number of constant terms in the expression x³ ± 6x ± 8 is 1.

Given expression is,

x³ ± 6x ± 8

Constant terms are terms which consists of only the numerical values and not includes any variables.

Here the variable is x.

The terms x³ and 6x includes variables.

So the only term which is a constant is 8.

So there is only 1 constant term.

Hence the number of terms in the expression which are constants is only 1, which is 8.

Learn more about Constants here :

https://brainly.com/question/26099230

#SPJ1

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is 631

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is simply the sample mean, which is $631. This is because the sample mean is an unbiased estimator of the population mean, meaning that on average, it will give us an accurate estimate of the true population mean.

To explain this in mathematical terms, let's use X to represent the monthly car payment for an individual resident of the apartment complex. We have a sample of n=97 residents, and we can calculate the sample mean as follows:

[tex]$\bar{X} = \frac{1}{n} \sum_{i=1}^{n} X_i$[/tex]

In this case, we know that [tex]\bar{X} = $631,[/tex] so this is our point estimate for the population mean:

[tex]$\mu \approx \bar{X} = 631$[/tex]

To know more about mean here

https://brainly.com/question/30891252

#SPJ4

The required group of friends spent 94% of their total budget on costumes.

To evaluate the percentage of the total budget that was spent on costumes, we can use the formula:
Percentage = (amount spent / total budget) x 100%

In this case, the amount spent on costumes was $658, and the total budget was $700. Substituting these values into the formula, we get:

percentage = (658 / 700) x 100%

Simplifying the fraction, we get:

percentage = 0.94 x 100%

Converting the decimal to a percentage, we get:

percentage = 94%

Thus, the group of friends spent 94% of their total budget on costumes.

Learn more about the percentage here:

https://brainly.com/question/28036310

#SPJ1

1. The cost for 100 shares at the 52-Week Low is $52.28 (option a).

2. The amount received if you sold your 100 shares at the High on August 16 is $67.20 (option d).

3. Your net gain or net loss after the sale of your 100 shares was $1492 Net Gain. (option d)

4. If you sold stock for $3200 and your broker earns 2% of that as his fee, Then the amount did the broker receive was $64. (option a).

To calculate the cost of 100 shares at the 52-Week Low, we need to multiply the low price per share by the number of shares. Therefore, the cost for 100 shares at the 52-Week Low can be calculated as follows:

Cost = 100 x 52-Week Low price per share

Out of the options given, the correct answer is A. $5228, assuming that the 52-Week Low price per share is $52.28.

To calculate the amount received from selling 100 shares at the High on August 16, we need to multiply the high price per share by the number of shares. Therefore, the amount received can be calculated as follows:

Amount Received = 100 x High price per share

Out of the options given, the correct answer is D. $6720, assuming that the high price per share on August 16 was $67.20.

To calculate the net gain or loss after the sale of 100 shares, we need to subtract the cost of buying the shares from the amount received from selling them. Therefore, the net gain/loss can be calculated as follows:

Net Gain/Loss = Amount Received - Cost

Using the numbers from the previous questions, we can calculate the net gain/loss as follows:

Net Gain/Loss = $6720 - $5228

Net Gain/Loss = $1492

Therefore, the correct answer is D. $1492 Net Gain.

To calculate the amount received by the broker as a fee for selling stock for $3200, we need to multiply the selling price by the broker's commission rate, which is given as 2%. Therefore, the broker's fee can be calculated as follows:

Broker's Fee = Selling Price x Commission Rate

Using the numbers from the question, we can calculate the broker's fee as follows:

Broker's Fee = $3200 x 0.02

Broker's Fee = $64

Therefore, the correct answer is A. $64.

To know more about shares here

https://brainly.com/question/31235187

#SPJ4

Answer:

Step-by-step explanation:

To calculate the rate of inflation, we can use the inflation rate formula:

inflation rate = ((new price - old price) / old price) x 100%

Using the given information, we have:

old price = $64.99

new price = $150.00

inflation rate = ((150.00 - 64.99) / 64.99) x 100%

inflation rate = (85.01 / 64.99) x 100%

inflation rate = 130.81%

Rounding the inflation rate to the nearest whole number, we get:

inflation rate ≈ 131%

Therefore, the rate of inflation from 1985 to today for a pair of Jordans is approximately 131%.

The median of the scores of the 13 players would be = 8. That is option B.

The total number of players that score 7 = 4

The total number of players that score 8 = 3

The total number of players that score 9 = 5

The total number of players that score 10 = 1

The scores = 7,7,7,7,,8,8, 8 ,9,9,9,9,9,10

The median score is 8.

Learn more about median here:

https://brainly.com/question/26940257

#SPJ1

Answer:

-10

Step-by-step explanation:

the explantion is pinned in the photo

please mark me as branliest

Mark sets aside $404 for more supplies.

Mark spent $175 on supplies, so his total cost is $175.

Mark sold 6 pieces of artwork for $70 each, so he earned 6 * $70 = $420 from these pieces.

He sold 15 - 6 = 9 pieces of artwork at $85 each, so he earned 9 * $85 = $765 from these pieces.

His total revenue is $420 + $765 = $1185.

His profit is his revenue minus his cost: $1185 - $175 = $1010.

He plans to set aside 40% of his profit for more supplies, so he will set aside 0.4 * $1010 = $404.

Therefore, Mark sets aside $404 for more supplies.

Learn more about Profit here

https://brainly.com/question/29494194

#SPJ1

The volume of the given figure is 29070 cubic centimeter.

The dimensions of the given 3D figure is Length of cuboid=45 cm, breadth of cuboid=17 cm and the height of cuboid = 20 cm.

Height of rectangular prism is 18 cm.

Volume of cuboid = Length×Breadth×Height

= 45 × 17 × 20

= 15300 cubic centimeter

Now, volume of rectangular prism = Area of Base ×Height

= 45×17×18

= 13770 cubic centimeter

Total volume = 15300 + 13770

= 29070 cubic centimeter

Therefore, the volume of the given figure is 29070 cubic centimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

Using Pythagorean's theorem we will see that the length is 41 ft.

We know that the flagpole is 40 feet tall. A rope is tied to the top of the flagpole and secured to the ground 9 feet from the base of the flagpole. We can think of this as a right triangle whose legs are 40ft and 9ft, and the rope is the hypotenuse.

Then we can use Pythagorean's theorem to find the length of the rope L.

L² = (40ft)² + (9ft)²

Solving this for L we will get.

L = √((40ft)² + (9ft)²)

L = 41ft

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1