Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length
is 6 3/4 feet.
Part A:
What is the area of the bathroom floor?

Part B:Each box of tiles has enough tiles to cover 5 ft.² how many boxes of tiles will Jordan need?

a. Raina will have to pay a total of $2100 in interest.

b. The total repayment amount, including interest, will be $9100.

To calculate the total interest and total repayment amount, we can use the formula for simple interest:

Simple Interest = Principal * Rate * Time

(a) Total interest:

Principal = $7000

Rate = 6% per year

Time = 5 years

Total Interest = Principal * Rate * Time

= $7000 * 0.06 * 5

= $2100

(b) Total Repayment Amount = Principal + Total Interest

= $7000 + $2100

= $9100

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The vertical distance between the two points given are (2, 11/3) and (2, -4/3) is 5 units.

The two points given are (2, 11/3) and (2, -4/3). These points have the same x-coordinate of 2, which means they lie on a vertical line. The vertical distance between the two points is simply the difference between their y-coordinates.

So, the vertical distance between the two points is:

11/3 - (-4/3) = 15/3 = 5

This means that if we were to draw a line segment connecting the two points, the length of the segment would be 5 units, and the segment would be parallel to the y-axis.

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Answer:

4,12,36,108,324.....

Step-by-step explanation:

The sequence represented by the equation [tex]a=4(3)^{n-1}[/tex]is a geometric sequence with first term 5 and common ratio 3. The first 4 terms of the sequence are:

[tex]a_1 = 4(3)^{1-1} =4(3)^0 = 4[/tex]

[tex]a_2 =4(3)^{2-1} = 4(3)^1 = 12[/tex]

[tex]a_3 =4(3)^{3-1} = 4(3)^2 = 36[/tex]

[tex]a_4 = 4(3)^{4-1} =4(3)^3 = 108[/tex]

[tex]a_5=4(3)^{5-1} =4(3)^4=324[/tex]

The sequence can be written as:

[tex]a_n = 4(3)^{n-1}[/tex]

where n is the term number.

Therefore, the sequence is 4,12,36,108,324.....

Answer:

The answer is 4,12,36,108,324

Step-by-step Explanation:

a1=4(3)¹‐¹=4(3)⁰=4

a2=4(3)²‐¹=4×3=12

a3=4(3)³‐¹=4(3)²=4×9=36

a4=4(3)⁴‐¹=4(3)³=4×27=108

a5=4(3)⁵‐¹=4(3)⁴=4×81=324

The equivalent sine and cosine values are as follows:

The relationship between sine and cosine angles is:

sinθ = cos(90 - θ)

This equation is known as the complementary angle identity for sine and cosine. It states that the sine of an angle is equal to the cosine of its complementary angle (90 degrees minus the original angle).

For example, if we have an angle theta = 30 degrees, its complementary angle would be 90 - 30 = 60 degrees.

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Answer:

hey it is

Step-by-step explanation:

22 × 18 or 12 into 18

The minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

On the basis of the quantity of checks written, we can compare the overall costs of the two accounts.

Let's calculate the total cost for each account based on the given information:

First Account:

Monthly fee: $12

Per-check fee: $0.10

Total cost = Monthly fee + (Per-check fee * Number of checks)

Second Account:

Monthly fee: $9

Per-check fee: $0.25

Total cost = Monthly fee + (Per-check fee * Number of checks)

We must determine the point at which the first account's total cost is less than the second account's total cost. Let's construct the formula:

$12 + ($0.10 * Number of checks) < $9 + ($0.25 * Number of checks)

Simplifying the equation

$12 - $9 < ($0.25 - $0.10) * Number of checks

$3 < $0.15 * Number of checks

Dividing both sides by $0.15:

$3 / $0.15 < Number of checks

20 < Number of checks

Therefore, the minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

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Solving a simple equation, we can see that x = 35.

The 3 lines with an arrow that go to the left are parallel lines, thus, the relation between the sets of values in each of the sides must be the same ones.

Then we can take the quotients between the respective values, and these quotients must be equal, so we can write:

30/12 = x/14

And now we can solve that equation for x, we will get:

x = 14*(30/12)

x = 35

That is the value of x.

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Answer:

Danielle Stevenson receives $2,600 from selling the $160,000 house.

Step-by-step explanation:

To find the amount Danielle Stevenson receives from selling the house, we'll follow these steps:

Calculate the commission earned by Danielle Stevenson: Commission = 6.5% * $160,000.

Commission = 0.065 * $160,000 = $10,400.

Determine the broker's share: Broker Share = 0.5 * Commission.

Broker Share = 0.5 * $10,400 = $5,200.

Calculate the remaining amount after the broker's share: Remaining Amount = Commission - Broker Share.

Remaining Amount = $10,400 - $5,200 = $5,200.

Determine the salesperson's share: Salesperson Share = 0.5 * Remaining Amount.

Salesperson Share = 0.5 * $5,200 = $2,600.

Finally, calculate the amount Danielle Stevenson receives, which is the remaining portion after the broker and salesperson's shares: Amount Danielle Receives = Remaining Amount - Salesperson Share.

Amount Danielle Receives = $5,200 - $2,600 = $2,600.

Therefore, Danielle Stevenson receives $2,600 from selling the $160,000 house.

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Answer:

Domain:  {-24, -12, -8, 9, 14, 50}

Range:  {23, 69, 83, 92, 97, 32}

Step-by-step explanation:

For a function like f(x), each coordinate is in the form (x, f(x)) aka (x, y)

Since our x-coordinates are -24, -12, -8, 9, 14, and 50, the domain of f(x) is {-24, -12, -8, 9, 14, 50}

Since our f(x) or y-coordinates are 23, 69, 83, 92, 97, and 32, the range is {23, 69, 83, 92, 97, 32}

The likely population of the infected elk in the wildlife preserve is 840.

A sample is a smaller group of the population. A sample is a representation of the population.

The fraction of infected elks in the sample to the total sample would be the same of the infected elks in the population to the total population of the elks.

Population of the infected elk = (infected elks in the sample / total sample) x number of elks in the preserve

(8/50) x 5250

= 0.16 x 5250 = 840

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By evaluation, the values of the rational function are f(11) = - 1 / 12 and f(- 2) = 1, respectively.

In this problem we find the case of a rational function that must be evaluated at two different x-values: x = 11, x = - 2. The procedure is summarized below:

Now we proceed to present the complete procedure:

f(11) = 11 / (11 + 1) - 1

f(11) = 11 / 12 - 1

f(11) = 11 / 12 - 12 / 12

f(11) = (11 - 12) / 12

f(11) = - 1 / 12

f(- 2) = (- 2) / (- 2 + 1) - 1

f(- 2) = - 2 / (- 1) - 1

f(- 2) = 2 - 1

f(- 2) = 1

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Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Every day, the number of people who receive the email grows by a factor of 3.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

Based on the information provided above, an exponential function for the total number of people who received the email is given by;

[tex]P(t) = 4(3)^t[/tex]

By comparison, we have the following parameters;

Initial value, a = 4.

Growth rate, b = 3.

In conclusion, the number of people who receive the email from Elon every day grow by a factor of 3.

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Answer: 14,5,15 is correct

Step-by-step explanation:

Based on the assumptions, the estimated Federal Withholding Tax for Franklin Lyons would be approximately $191.68.

Determine Franklin's taxable income:

To calculate the taxable income, we need to subtract any deductions or exemptions from his gross pay. We'll consider his gross pay as the taxable income.

Taxable Income = Gross Pay = $958.38

Estimate the Federal Withholding Tax rate:

The Federal Withholding Tax rate depends on the taxable income and the individual's filing status. Let's assume a general tax rate of 20% for this estimation.

Federal Withholding Tax rate = 20%

Calculate the Federal Withholding Tax:

To find the withholding tax, multiply the taxable income by the tax rate:

Federal Withholding Tax = Taxable Income * Federal Withholding Tax rate

= $958.38 * 0.20

= $191.68

Thus, the answer is $191.68.

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The description of the location of the point, (−7, 6, −4) in three-dimensional coordinate space is this: A.  From the origin, move 7 units back, 6 units right, and 4 units down.

The meaning of a three-dimensional coordinate space is a requirement for three units to come together to form a point. In the location of the point above, we are given three units namely, -7, 6, and -4.

The indication of signs in front of them are as follows; -7, means moving 7 units back, 6 means moving 6 units right, ad -4 means moving 4 units down.

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If they both start riding at the same time and ride at their current rates, the time is that A. Amy will have to wait 0.5 minute for Sebastian.

Let v be the speed of Amy and Sebastian.

Option A states that Amy will have to wait 0.5 minutes for Sebastian. This implies that Sebastian is faster than Amy since he catches up to her within half a minute.

Therefore, Amy will have to wait 0.5 minute for Sebastian. This was calculated thus:

V = 3.0 - 2.5

v = 0.5

Therefore, Amy will have to wait 0.5 minute for Sebastian.

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The equation y = 3x - 2. can be placed in table as shown below. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.

In this table, each row represents a pair of values (x, y) that satisfy the equation y = 3x - 2. For example, when x is -2, y is calculated as 3(-2) - 2 = -8. Similarly, for the other values of x, the corresponding values of y are calculated accordingly.

Here's a table showing the values of x and the corresponding values of y for the equation y = 3x - 2:

x y

-2 -8

-1 -5

0 -2

1 1

To fill in the table, substitute each value of x into the equation and calculate the corresponding value of y. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.

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Answer:

Step-by-step explanation:

The numerical value of the given log expression is -73.

From definitions of logarithms, we know that :

[tex]log(a*b) = log(a) + log(b)\\log(a / b) = log(a) - log(b)[/tex]

[tex]log(a^n) = n*log(a)[/tex]

Therefore,

[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*log(b) - 8*log(a) - 5*log(c)[/tex]

substituting the given values

[tex]log(a) = 10\\log(b) = 9\\log(c) = 1\\[/tex]

we get the value of the given expression

[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*9 - 8*10 - 5*1[/tex]

[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = 12 - 80 - 5[/tex]

[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = -73[/tex]

Therefore the numerical value of the given log expression is -73.

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The measure of the indicated angles using available arc angles which subtends angles at the circumference are:

(5). ? = 103, (6). ? = 80°, (7). ? = 32°, and (8). ? = 110°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

So;

(5). m∠JBL + 92° = 180° {sum of opposite interior angles of a cyclic quadrilateral}

m∠JBL = 88°

arc angle (JK + LK) = 2(88)

arc angle JK = 176 - 70 = 106°

arc angle (JK + JB) = 2(?)

? = (106 + 100)/2

? = 103

(6). arc angle QR = 360° - are. QSR

arc angle QR = 360 - (80 + 120) = 160°

arc angle QR = 2(?)

? = 160/2

? = 80°

(7). arc angle GH = 2(m∠GFH)

m∠GFH = 116/2

m∠GFH = 58

m∠FGH = 90° {angle in a semi circle is a right angle}

? = 180 - (58 + 90)

? = 32°

(8). arc angle DCF = 360 - arc angle DEF

arc DCF = 360 - (68 + 72)

arc DCF = 220

arc DCF = 2(?)

? = 220/2

? = 110°

Therefore, the measure of the indicated angles using available arc angles which subtends angles at the circumference are: (5). ? = 103, (6). ? = 80°, (7). ? = 32°, and (8). ? = 110°

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The measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

The measure of angle ACB can be determined using the properties of tangents and secants intersecting a circle.

Since side AC is tangent to the circle, angle BAC is a right angle (90 degrees).

According to the tangent-secant theorem, the measure of angle ACB is equal to half the difference between the intercepted arcs AB and AX.

Since angle BAC is a right angle, the intercepted arc AX is a semicircle, which means its measure is 180 degrees. The intercepted arc AB is an arc of the circle and is less than 180 degrees since it is not a full circle.

Therefore, the measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.

To find the exact measure, more information is needed about the length of arc AB or the relationship between the lengths of the sides of the triangle. Without this additional information, we cannot determine the precise measure of angle ACB.

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For the function  [tex]A(t)=4000e^0^.^0^4^t[/tex] the value of A'(8) is $220 and the value of [tex]A'(t)=160e^0^.^0^4^t[/tex]

The given function is [tex]A(t)=4000e^0^.^0^4^t[/tex] gives the balance after t years.

The initial investment is 8000

4% is the compounded interest.

Now differentiate with respect to t

[tex]A'(t)=0.04(4000)e^0^.^0^4^t[/tex]

[tex]A'(t)=160e^0^.^0^4^t[/tex]

Now let us find the value of A'(8)

Plug in t as 8

[tex]A'(8)=160e^0^.^0^4^(^8^)[/tex]

A'(8)=220.3

Hence, the value of A'(8) is $220 and the value of [tex]A'(t)=160e^0^.^0^4^t[/tex]

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The complex number in standard form is written as:

Z =  1.99 + i*0.201, so the correct option is a

Remember that a complex number can be written in standard form as:

Z = a + b*i

And in polar form the notation is (R, θ):

[tex]Z = R*e^{i*\theta} = R*cos(\theta) + i*R*sin(\theta)[/tex]

Here we have the complex number:

Z = 2(cos(11pi/6) + i*sin(11pi/6))?

So here we just need to solve these expressions, we will get:

Z = 2*(0.995 + i*0.100)

Z =  1.99 + i*0.201

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Complete question:

"Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6)? "

Answer:

2.5

Step-by-step explanation:

half of 10 is 10/2 = 5

so 50% of 5 is 2.5

Answer:

40

Step-by-step explanation:

All questions are worth the same, 1 point each.

80% of 50 = 0.8 × 50 = 40

Answer: 40

Answer:

40

Step-by-step explanation:

80/100*50 = 40

Answer: A positive relationship between two variables means that as the value of one variable increases, the value of the other variable also increases. In other words, there is a direct association or correlation between the two variables. Graphically, a positive relationship is represented by an upward-sloping line or curve.

For example, let's consider the relationship between studying time and exam scores. In general, if a student spends more time studying for an exam, their exam score is likely to increase. This implies a positive relationship between studying time and exam scores.

On the other hand, a negative relationship between two variables means that as the value of one variable increases, the value of the other variable decreases. In this case, there is an inverse association or correlation between the two variables. Graphically, a negative relationship is represented by a downward-sloping line or curve.

For instance, let's consider the relationship between hours of sleep and levels of fatigue. As the number of hours of sleep decreases, the level of fatigue tends to increase. This indicates a negative relationship between hours of sleep and levels of fatigue.

It's important to note that these examples describe typical scenarios, but individual variations and other factors can also influence the relationships between variables.

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

The Surface Area of cylinders are: 100 yd² , 264 m², 226  mm²

The Surface Area of Can is 219 cm².

We know the formula for Surface Area of Cylinder

= 2πrh

1. Radius = 2 yd

Height = 8 yd

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 2 x 8

= 100 yd²

2. Radius = 7 m

Height = 6 m

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 6 x 7

= 264 m²

3. Radius = 3 mm

Height = 12 mm

So,  Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 3 x 12

= 226  mm²

4. Radius = 3.5 cm

Height = 10 cm

So, Surface Area of Can

= 2πrh

= 2 x 3.14 x 3.5 x 10

= 219 cm²

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