To the nearest tenth, what is the value of x?

Answer:

The answer is 2000

Step-by-step explanation:

The 2 means hundred and the two zeroes mean tens and ones if he added a zero at the end it would be 2000 making the 2 to be a thousand which is the correct answer.

Hello;

4 x 500 = 500 + 500 + 500 + 500 = 1000 + 1000 = 2000

you want 1000 => 2000/2 = 1000

(4 x 500)/2 = 2 x 500 = 500 + 500 = 1000

not 4 x 500 but 2 x 500

If 11 rain jackets were collected. At the end of the the drive, 10 times that number of rain jackets were collected. The number of rain jackets that  were sold is 99.

We must determine the total number of rain jackets gathered at the end of the campaign in order to determine how many were sold.

10 times the original quantity of raincoats gathered is:

= 10 * 11

= 110

So, 110 rain jackets were collected.

Number of raincoats sold:

= 110 - 11

= 99

Therefore 99 rain jackets were sold.

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A total of 7 33 inches of rain fell over the course of 11 hours

The rate of rain on thursday was two inches every three hours which means it rained 2/3 inches per hour

After 11 hours of consistent rain the total amount of rain that fell can be calculated by multiplying the rate of rain per hour by the number of hours

total amount of rain  = 2/3 inches hour x 11 hours

total amount of rain = 22/3 inches

total amount of rain = 7 33 inches )rounded to the nearest hundredth)

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The total number of beads in the two boxes: is: 20

The parameters given are:

Number of white beads in box A = 7

Number of black beads in box A = x - 7

Number of white beads in box B = 4

Number of black beads in box B = x - 4

The probability of getting white from both boxes is:

P(W & W) = (7/x) * (4 + 1)/(x + 1)

P(W & W) = 35/(x(x + 1)

We are given that P(W & W) = 7/22

Thus:

35/(x(x + 1) = 7/22

Solving gives x = 10

Thus:

Box A has 10 beads and box B has 10 beads.

Total number of beads = 20 beads

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a) The interval in which the height is increasing is given as follows: (0,2).

b) The interval in which the height is decreasing is given as follows: (4,10), .

c) The interval in which the height is constant is given as follows: (2,4), (10, ∞).

d) The height at 14 seconds is of zero, as when the balloon hits the ground, it does not fly anymore.

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The required solution with the concern of mortgage has been shown below.
$695.67, $250,441.20, $783.93, $235179, and $15262.2.

Using the formula for the monthly payment of a mortgage:

[tex]P = L[c(1 + c)^n]/[(1 + c)^n - 1][/tex]

Here P is the monthly payment, L is the loan amount, c is the monthly interest rate, and n is the total number of payments (in this case, 30 years = 360 months).

Plugging in the values given:

L = 160000

c = 0.033/12 (monthly interest rate)

n = 360

P = 695.67

So the monthly payment is $695.67.

To find out how much will be paid in total over 30 years, we can multiply the monthly payment by the total number of payments:

Total payments = P * n = $695.67 * 360 = $250,441.20

So the total amount paid to the bank for the home over 30 years is $250,441.20.

To calculate the new monthly payment for a 25-year loan, we can use the same formula but with n = 25*12 = 300 months:

P = 160000[(0.033/12)(1 + (0.033/12))^300]/[(1 + (0.033/12))^300 - 1]

P = $783.93

So the new monthly payment for a 25-year loan is $783.93.

The total amount paid over 25 years would be:

Total payments = P * n = $783.93 * 300 = $235179

So the total amount paid to the bank for the home over 25 years is $235179.

The amount saved by reducing the time of the mortgage loan is the difference between the total amount paid for the 30-year loan and the total amount paid for the 25-year loan:

Savings = $250,441.20 - $235179 = $15262.2

So the amount saved by reducing the time of the mortgage loan is $15262.2.

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The greatest common factor of the polynomial 2x³ - 10 is 2.

By extracting the greatest common factor, we obtain:

= 2(x³/2 - 5)

Therefore, the factored form of the polynomial is 2(x³/2 - 5).

Thus, the greatest common factor of the polynomial 2x³ - 10 is 2.

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The two buses are approximately 141.2 km apart after two hours.

We have,

We can use the Law of Cosines to solve this problem.

Let's call the distance between the two buses "d".

After 2 hours, the first bus will have traveled 100 km (50 km/h x 2 h) and the second bus will have traveled 180 km (90 km/h x 2 h).

Now we can use the Law of Cosines to find d:

d² = 100² + 180² - 2(100)(180)cos(127° - 46°)

d² = 10000 + 32400 - 36000cos(81°)

d² = 42400 - 36000cos(81°)

d ≈ 141.2 km

Therefore,

The two buses are approximately 141.2 km apart after two hours.

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According to van Hiele's levels of geometric thought, the Intermediate Phase corresponds to level 3, which is called the Informal Deduction stage.

The learner appears to be at level 3, known as the "Informal Deduction" stage. This is evident from their ability to use geometric properties in their reasoning.

At this phase, students start employing logical thinking to understand the connections and characteristics of geometry, using informal explanations and visual aids. Their ability to draw conclusions from particular instances is evident, though they may face difficulties when attempting to extrapolate their findings to broader contexts.

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The probability that it takes Jeremiah more than 6 attempts to make his first three-point shot is approximately 0.0479.

The probability that Jeremiah makes a three-point shot is p = 0.25, which means that the probability he misses a shot is q = 1 - p = 0.75.

Let's consider the probability that it takes Jeremiah more than 6 attempts to make his first shot.

This means he must miss the first 6 shots, and make the 7th shot. The probability that he misses a single shot is q = 0.75, so the probability that he misses the first 6 shots is:

P(missing first 6 shots) = q × q × q × q × q × q = (0.75)^6

The probability that he makes the 7th shot is p = 0.25. Therefore, the probability that it takes Jeremiah more than 6 attempts to make his first shot is:

P(MMM > 6) = P(missing first 6 shots) × P(making 7th shot) = (0.75)^6 × 0.25 = 0.0479 (rounded to four decimal places).

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Answer: 57 cm²

Step-by-step explanation:

To answer this question, we need to find the surface area of the figure.

First, we will find the surface area of the bottom part, the rectangular prism. We will use the given formula. However, we do not count the top side since it is connected to the bottom part. We will subtract this.

       SA = 2(wl + hl + hw)

       SA = 2((3 cm)(3 cm) + (2 cm)(3 cm) + (2 cm)(3 cm))

       SA = 42 cm²

       SA = 42 cm² - 9 cm² = 33 cm²

Next, we will find the surface area of the top part, the square pyramid. We know we have four congruent triangles. We will not count the square base since it is connected to the bottom part.

       SA = 4 * ([tex]\frac{bh}{2}[/tex])

       SA = 2 * (bh)

       SA = 2 * ((3 cm)(4 cm))

       SA = 2 * (12 cm²)

       SA = 24 cm²

Lastly, we will add these two parts together.

        33 cm² + 24 cm² = 57 cm²

The computation of the interest and the maturity value of the loan, using ordinary interest, is as follows:

Interest = $54.30

Maturity value = $1,404.30.

The ordinary interest method is based on the use of 360 days as the ordinary days in a calendar year.

The ordinary interest contrasts with the exact interest, which uses 365 days or the normal calendar days.

Principal = $1,350

Interest rate = 8%

Date borrowed = July 21

Date repaid = January 18

The number of days between July 21 and January 18 = 181 days

Total Interest = Principal x Rate x Time

= $54.30 ($1,350 x 8% x 181/360)

Maturity value = Principal + Total Interest

= $1,404.30 [$1,350 + ($1,350 x 8% x 181/360)]

Thus, based on the ordinary interest method, the maturity value of the loan is $1,404.30.

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The amount at which the cards offer the same deal over the course of a year is a $2,333.33

Since credit card finance charge is the fee associated with using credit.

Credit card issuers use the finance charges to minimize non-payment risks and earn some profits for extending credit to cardholders.

Data and Calculations:

                  Card A         Credit B

APR              20.8%               24.6%

Annual fee  $60                   $0

To calculate the balance required, the required equation is

= 22%x + $40 = 24.6%x

Where x = required balance

Thus,

= 0.208x + $60 = 0.246x

= $60 = 0.03x (0.246x- 0.208x )

= 0.03x = $60

x = $60 /0.03

x = $2,333.33

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To represent a circle with a diameter of 12 units and a center that lies on the y-axis, we can use the standard form of the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius.

If the center of the circle lies on the y-axis, then the x-coordinate of the center is 0. Also, since the diameter is 12 units, the radius is 6 units.

Using these values, we can eliminate the equations that do not meet these conditions:

- x2 + (y – 3)2 = 36: This circle has a center at (0, 3), which is not on the y-axis.

- x2 + (y – 5)2 = 6: This circle has a center at (0, 5), which is not on the y-axis.

- (x – 4)² + y² = 36: This circle has a center at (4, 0), which is not on the y-axis.

- (x + 6)² + y² = 144: This circle has a center at (-6, 0), which is not on the y-axis.

- x2 + (y + 8)2 = 36: This circle has a center at (0, -8), which is on the y-axis.

Therefore, the two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:

- x2 + (y + 8)2 = 36

- x2 + (y - 8)2 = 36

Note that the second equation is also valid, since the center of the circle can also be located at (0, -8).

The graph of the function f(x) =[x+3] is a linear graph and it is represented on the last graph of the attached image.

A linear equation can be written in the form:

y = mx + c

where:

y = dependent variable (usually on the vertical axis).

x = independent variable (usually on the horizontal axis).

m = slope of the line, which determines its steepness.

c = y-intercept, which is the point where the line crosses the y-axis.

From our question,

f(x) =[x+3]

y = f(x)

m = 1

c = 3

To plot our graph, we use the range of values of x which are:

x = 0, -1, -2, -3

By substituting the value of x into the equation we have the equivalent y values;

f(0) = [0 + 3] = 3

f(-1) = [-1 + 3] = 2

f(-2) = [-2 + 3] = 1

f(-3) = [-3 + 3] = 0

Plotting x against y will give us the graph attached.

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In agreement, there is no correlation between the values of the graph because there is no constant that determines the relationship between the average of points and the percentage of failures of three points.

Based on the information in the graph, we can infer that there is no correlation between the values in the graph, since neither influences the other (does not modify it). Due to the above, we can establish that the values have no correlation because they are independent and do not depend on each other.

In this case, we can see that the percentage of 35% is in two values: one below 19 and one above 19. This means that there is no correlation because if there were, the values would have an obvious trend.

To conclude we can say that there is no correlation between these values because there is no a constant relationship that determines the location of the points in the graph.

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Option B, three 2-liter tins, is the most cost-effective choice.

1.7.1: To convert 5 litres to cm³, multiply by 1000 cm³ per litre:

5 litres * 1000 cm³/litre = 5000 cm³.

1.7.2: If 1 litre covers 8m², and you need to paint 14.4m² with three coats: 14.4m² * 3 coats = 43.2m².

Divide by 8m²/litre to find litres needed: 43.2m² / 8m²/litre = 5.4 litres.

To find the most cost-effective combination, consider the options:

A: One 5-liter tin and one 2-litre tin.

B: Three 2-liter tins.

Calculate costs including VAT: A: (1 * 439.99 + 1 * 189) * 1.15 = 723.63, B: (3 * 189) * 1.15 = 651.45.

Option B, three 2-liter tins, is the most cost-effective choice.

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The Complete Question

Paint is sold in different sizes as shown below A B 2 litre tin R189 5 litre tin at 439.99 Prices excludes VAT of 15% 1.7.1 Convert the capacity of a 5-litre tin to its volume in cm³ NOTE: 1 litre 1 000 cm³ 1.7.2

According to a paint specialist one needs at least two coats of pain therefore decided that she will paint three coats just to be sure that covered. Remember that the area that needs to be covered is 14.4 How many litres of paint will be needed if 1 litre of paint covers 8m- Looking at the paint quantity diagram and using your answer in QUI 1.7.2 A make use of different combinations of the tins of paint, ther Prudence of which combination will be the most cost effective. Inclu your calculations. 8,84 cm

ŷ= 6.45x + 31.5 is the equation of the regression line for the given data

Here, we have,

to find the equation of the regression line for a given data:

Construct the table of the data as follows:

x    >>>>     y  >>>>  x²  >>>>  y²  >>>>   xy

1                39            1            1521         39

2               45            4           2025       90

3               52             9          2704       156

4               49            16          2401        196

5               61             25         4096       305

5               72            25          5184        360

................................................................................................

20             318           80          17931       1146

.................................................................................................

∑x = 20,  ∑y = 318, ∑x²= 80, ∑xy = 1146,  n = 6 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a = (6×1146 - 20×318) / ( 6×80-20² )

a = 6876-6360 / 480-400

a = 516 / 80

a = 6.45

x' =  ∑x/n

x' = 20/6 = 10/3

y' = ∑y/n

y' = 318/6 = 53

b = y' - ax'

b = 53 - 6.45×(10/3)

b = 53 - 21.5

b = 31.5

ŷ = ax + b

ŷ= 6.45x + 31.5

Thus,  the equation of the regression line for the given data is

ŷ= 6.45x + 31.5.

(a) x=3 hours

ŷ= 6.45(3) + 31.5 = 50.85

(b) x=4.5 hours

ŷ= 6.45(4.5) + 31.5 = 60.525

(c) x=13 hours

ŷ= 6.45(13) + 31.5 = 115.35

(d) x=1.5 hours

ŷ= 6.45(1.5) + 31.5 = 41.175

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complete question:

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.(The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.

(a) x=3 hours

(b) x=4.5 hours

(c) x=13 hours

(d) x=1.5 hours

The measure of Angle YEA is 70 degrees in the given parallelogram

Given Parallelogram EASY with diagonal ES

∠AES = 40

∠Y = 110

∠ESY = 40   by  Z theorem of a parallelogram

∠A = ∠Y  by property of parallelogram

∠A = <110  as ∠Y=110

∠YES = 180 - ∠Y  

∠YES = 180 - 110 - 40  

∠YES = 30

∠YEA = ∠YES + ∠AES  

∠YEA = 30 + 40            

∠YEA = 70

Hence, the measure of Angle YEA is 70 degrees

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The measure of the unknown sides is equivalent to 12.6

The given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.

We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.

Hence:

x = 6.3 + 6.3

x = 12.6

Therefore the measure of x from the given diagram is equivalent to 12.6

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

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

Let the number be n.

Twice the difference of a number and 9 is 3, set up an equation:

Hence the number is 10.5.

Answer:

5/2

Step-by-step explanation:

The number of pounds of each alloy he must use are: 49.33 of 32% aluminum and 4.67 of 44% Alloy

X = amount of alloy 1

Y = amount of alloy 2

Thus:

X + Y = 54

X = 54 - Y

0.32X + 0.44Y = 0.36 * 54

0.32X + 0.44Y = 19.44

Plugging in 54 - Y for X gives us:

0.32(59 - Y) + 0.44Y = 19.44

18.88 - 0.32Y + 0.44Y = 19.44

0.12Y = 19.44 - 18.88

Y = 0.56/0.12

Y = 4.67

X = 54 - 4.67

X = 49.33

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Answer:

around 3.3 cm

Step-by-step explanation:

The volume of the rectangular prism cake pan can be calculated by multiplying its length, width, and depth:

V = l × w × d

Substituting the given values, we get:

V = 20 cm × 28 cm × d

V = 560d cm³

We are also given that the amount of batter put into the pan is 1848 cm³. So we can set up the following equation:

1848 cm³ = 560d cm³

Solving for d, we get:

d = 1848 cm³ ÷ 560 cm²

d ≈ 3.3 cm

Therefore, the cake batter is about 3.3 cm deep.

Answer:

Sure, here are the steps on how to simplify 2/3 (3x -2) – ¾ (2x -2):

Multiply the factors in the numerator and denominator of each fraction.

2/3 (3x -2) = (2)(3x -2) / (3)(3) = 6x - 4 / 9

¾ (2x -2) = (3/4)(2x -2) / (3) = 3x - 6 / 12

Subtract the numerators of the two expressions.

6x - 4 / 9 - 3x - 6 / 12 = (6x - 4 - 3x - 6) / (9 * 12) = 3x - 10 / 108

Simplify the fraction by dividing the numerator and denominator by 3.

3x - 10 / 108 = (3x - 10) / (3 * 36) = x - 10 / 36

Therefore, the simplified expression is x - 10 / 36.

Step-by-step explanation: