(9x10 to the 7th power) (7x10 to the 9th power) in scientific notation.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.

i got 1 2 3 4 5 6 7 8 ems in my bank account

Step-by-step explanation:

Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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Answer:

250 Percent

Step-by-step explanation:

First, you would have to find what percent of 2 is 5. So you would do 5/2 and that equals 2.5 or 250 Percent. (I think this is correct :))

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{10}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{10}}} \implies \cfrac{ 2 }{ -9 } \implies - \cfrac{2}{9}\)

Answer:

2/5

Step-by-step explanation:

If we convert 1/2 to tenths we get 5/10. We can subtract that from 9/10 to find out what q equals which will give us 4/10 which is also equal to 2/5

(sorry i'm really bad at explaining but I hope this helps)

Answer: Circle d

Step-by-step explanation:

The monthly mortgage payment will be $3,373.16 (rounded to the nearest cent), excluding insurance and taxes.

We can apply the formula for a fixed-rate mortgage to determine the monthly mortgage payment:

\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),\)

where:

M stands for the monthly payment, P for the principal (loan amount less the down payment), r for the monthly interest rate, which is calculated by dividing the yearly interest rate by 12, and n for the total number of monthly payments (30 years times 12 months).

The principal amount (P) is $555,000 - $55,000 = $500,000 if the median property price in Auburn is $555,000 and you put down $55,000.

The annual interest rate (r) is divided by 12 and converted to a decimal number to determine the monthly interest rate (r): 7.6% / 100 / 12 = 0.0063333.

The total number of monthly payments (n) is 30 years * 12 months = 360 months.

M = $500,000 * (0.0063333 * (1 + 0.0063333)^360) / ((1 + 0.0063333)^360 - 1).

The estimated monthly payment (M) using a calculator or spreadsheet is $3,373.16.

In conclusion, the monthly mortgage payment for a 30-year fixed rate mortgage at a 7.6% interest rate will be around $3,373.16 with a median property price in Auburn of $555,000 and a down payment of $55,000.

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Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

D is it

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

This is your answer ☺️☺️☺️

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Hey there!

p(x) = 2x^2 + x^4 - 4x + 1

y = 2x^2 + x^4 - 4x + 1

y = 2(-2)^2 - 2^4 - 4(-2) + 1

y = -4^2 - 16 - 4(-2) + 1

y = 8 - 16 - (-8) + 1

y = - 8 - (-8) + 1

y = 0 + 1

y = 1

Therefore, your answer is: y = 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

5

Step-by-step explanation:

Answer:

es D

Step-by-step explanation:

es una variable porque lleva una letra o un símbolo en esa caso representa una cantidad esa letra

Answer:

x=11.34

Step-by-step explanation:

The percent of data within the following interval from 28 to 82 is 99.73%

From the question, we have the following parameters that can be used in our computation:

Mean = 55

Standard deviation = 9

Scores = from 28 to 82

So, we have

z = (28 - 55)/9 = -3

z = (82 - 55)/9 = 4

This means that it is between a z-score of -3 and a z-score of 3

This is represented as

Probability = (-3 < z < 3)

Using a graphing calculator, we have

Probability =  0.9973

Express as percentage

Probability =  99.73%

Hence, the probability is 99.73%

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Answer:

0.50x + 7.50 = 0.75(x+6)

Hope this helps :)

The equation to model the situation of x is (0.5x + 7.5) = 0.75(x + 6)

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given data as :

There are x wooden beads at $0.50 each necklace.

There are 6 glass beads at $1.25 each necklace.

Since the cost of the beads in a necklace is addition of wooden beads and glass beads.

So, 0.50x + 6*1.25 = 0.5x + 7.5 dollars

There are (x+6) beads.

Consider that the beads usually cost $0.75 each

(0.5x + 7.5)/(x+6) = 0.75

0.5x + 7.5 =  0.75(x+6)

0.5x + 7.5 = 0.75x + 4.5

7.5 - 4.5 = 0.75x - 0.5x

3 = 0.25x  or

0.25x = 3

x = 3/0.25

x = 12

Hence, the equation to model the situation of x is (0.5x + 7.5) = 0.75(x + 6)

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ANSWER

| x=0

Step-by-step explanation:

f(x) = 2x²

Rewrite the function by completing the

square

f(x)

= 2x²

Find the symmetry

X = 0

Answer:

-3x + 3

Step-by-step explanation:

To find the equation of a line perpendicular to the line passing through (-2, 1) and (4, 3), we need to determine the slope of the original line first. Then, we can use the negative reciprocal of that slope to find the slope of the perpendicular line. Finally, we can use the point-slope form to write the equation of the perpendicular line.

Step 1: Find the slope of the original line.

Slope (m) = (change in y) / (change in x)

m = (3 - 1) / (4 - (-2))

m = 2 / 6

m = 1/3

Step 2: Determine the slope of the perpendicular line.

The slope of the perpendicular line is the negative reciprocal of the original line's slope.

Perpendicular slope = -1 / (1/3)

Perpendicular slope = -3

Step 3: Use the point-slope form to write the equation.

The point-slope form is given by:

y - y1 = m(x - x1)

Using the point (-2, 9) and the perpendicular slope (-3), we can write the equation as:

y - 9 = -3(x - (-2))

y - 9 = -3(x + 2)

y - 9 = -3x - 6

y = -3x + 3

Therefore, the equation of the line perpendicular to the line passing through (-2, 1) and (4, 3) and passing through (-2, 9) is y = -3x + 3.

Answer:

(a) The probability that his weight is between 150 lb and 201 lb is 0.3428.

(b) The probability that the sample mean weight is between 150 lb and 201 lb is 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a).

Step-by-step explanation:

We are given that the seat was designed for pilots weighing between 130 lb and 181 lb.

The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.3 lb.

Let \(\bar X\) = sample mean price for a movie in the United States

SO, X ~ Normal(\(\mu=140,\sigma^{2} =27.3^{2}\))

(a) The z-score probability distribution for the normal distribution is given by;

                              Z  =  \(\frac{ X-\mu}{\sigma}} }\)  ~ N(0,1)

where,  \(\mu\) = population mean weights = 140 lb

            \(\sigma\) = standard deviation = 27.3 lb

Now, the probability that his weight is between 150 lb and 201 lb is given by = P(150 lb < X < 201 lb) = P(X < 201 lb) - P(X \(\leq\) 150 lb)

         P(X < 201 lb) = P( \(\frac{ X-\mu}{\sigma}} }\) < \(\frac{ 201-140}{27.3}} }\) ) = P(Z < 2.23) = 0.9871

         P(X \(\leq\) 150 lb) = P( \(\frac{ X-\mu}{\sigma}} }\) \(\leq\) \(\frac{ 150-140}{27.3}} }\) ) = P(Z \(\leq\) 0.37) = 0.6443

The above probability is calculated by looking at the value of x = 2.23 and x = 0.37 in the z table which has an area of 0.9871 and 0.6443.

Therefore, P(150 lb < X < 201 lb) = 0.9871 - 0.6443 = 0.3428.

(b) Let \(\bar X\) = sample mean weight

The z-score probability distribution for the sample mean is given by;

                              Z  =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where,  \(\mu\) = population mean weight = 140 lb

            \(\sigma\) = standard deviation = 27.3 lb

            n = sample of pilots = 39

Now, the probability that the sample mean weight is between 150 lb and 201 lb is given by = P(150 lb < \(\bar X\) < 201 lb) = P(\(\bar X\) < 201 lb) - P(\(\bar X\) \(\leq\) 150 lb)

       P(\(\bar X\) < 201 lb) = P( \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) < \(\frac{201-140}{\frac{2.73}\sqrt{39} } }\) ) = P(Z < 13.95) = 0.9999

       P(\(\bar X\) \(\leq\) 150 lb) = P( \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) \(\leq\) \(\frac{150-140}{\frac{2.73}\sqrt{39} } }\) ) = P(Z \(\leq\) 2.29) = 0.9889

Therefore, P(150 lb < \(\bar X\) < 201 lb) = 0.9999 - 0.9889 = 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a) because it is important to look after the safety of each and every pilot not of a particular sample.

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

D. 2^2+1.7^243+40−−−−−√

Step-by-step explanation:

The computation is shown below:

Given that

Sample 1

n_1 = 43

mean  = 18

s_1 = 2

Sample 2

n_2 = 40

mean = 20

s_2 = 1.7

Now the standard error is

\(= \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } \\\\= \sqrt{\frac{2^2}{43} + \frac{1.7^2}{40} }\)

= 0.4065

Answer:

36

Step-by-step explanation:

27/3=9

9*4=36

Given:

\(\Delta CAP\sim \Delta DAY\)

To find:

The value of FD.

Solution:

We have, \(\Delta CAP\sim \Delta DAY\). So, the corresponding angles are congruent.

\(\angle CAP\cong \angle DAY\)

\(\angle ACL\cong \angle AD F\)            (Given in the figure)

Two angles are congruent. So,

\(\Delta CAL\sim \Delta DA F\)

Corresponding sides of similar triangles are proportional. So,

\(\dfrac{CA}{DA}=\dfrac{LC}{FD}\)

Substituting the given values from the figure, we get

\(\dfrac{35}{21}=\dfrac{25}{FD}\)

\(\dfrac{5}{3}=\dfrac{25}{FD}\)

On cross multiplication, we get

\(5\times FD=3\times 25\)

\(5FD=75\)

Divide both sides by 5.

\(FD=\dfrac{75}{5}\)

\(FD=15\)

Therefore, the measure of FD is 15 units.

Answer: -24

Step-by-step explanation:

\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)