8 x what equals 200.

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = - 3x + 7 ← equation of line

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

The dimensions of a scale drawing of the flag using a scale 1:8 are 5 cm by 9 cm.

The correct option is B.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A rectangular flag is 40 centimeters by 72 centimeters.

The scale factor is 1/8.

So, the dimensions of a scale drawing of the flag using the scale 1:8 is,

= 40/8 cm by 72/8 cm

= 5 cm by 9 cm.

Therefore, the dimensions are 5 cm by 9 cm.

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Answer:

(B) 5 cm by 9 cm

Step-by-step explanation:

I took the exam and got it right :)

Answer:

3x-21+4=28-2x...... Multiply 3 with (x-7)

3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4

5x=45.....Add and subtract as required

x=45/5....Taking 5 from left side to right side and dividing it

x=9.....Normal division

Answer:

\(\boxed{\bold{\huge{\boxed{\sf x = 9}}}}\)

Step-by-step explanation:

\(\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }\)

Answer:because it just a word problem

Step-by-step explanation:

like i said it just a word problem

Answer: b) increasing

Step-by-step explanation: It seems evident that the sequence is made up of all the odd numbers.

\(\begin{gathered} \bold{a_1=1}\\ \bold{a_2=3=a_1+2}\\ \bold{a_3=5=a_2+2}\\ \bold{a_4=7=a_3+2} \\ \bold{a_n=a_{n- 1}+2}\end{gathered}\)

As we can see, in the nth position (any position), we take the value of the previous position and add 2 to it. This leads us to conclude that the sequence is monotonic increasing since as we add 2 to the values, these grow up.

Answer:

3:50 P.M.

Step-by-step explanation: 3 * 10 = 30 minutes

4:20 - 30 = 3:50

The statement p ∨ q, where p represents "a student is in the math club" and q represents "a student is in the debate club", is a logical statement known as a disjunction. This means that the statement is true if either p or q is true or if both are true.

The verbal translation of p ∨ q is "a student is in the math club or in the debate club". This means that the statement is true if the student is in either of the clubs or in both. It does not necessarily mean that the student is only in one of the clubs.

For example, if Jane is in the math club and the debate club, then the statement p ∨ q is true. If John is only in the math club, then the statement p ∨ q is also true because he is in the math club. Similarly, if Jack is only in the debate club, then the statement p ∨ q is still true because he is in the debate club.

In conclusion, the logical statement p ∨ q is true if a student is in the math club or in the debate club, or in both. It is a disjunction that represents the possibility of membership in either or both clubs.

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Answer:

1,620

Step-by-step explanation:

L x W x H

L = 15

W = 12

H = 9

15 x 12 = 180

180 x 9 = 1620

The required three equivalent forms of 6.375. is 6 3/8, 637.5%, 51/8. Option D is correct.

Given that,
The three equivalent forms of the 6.375 is to be determined for the given options.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here,
The given number is 6.375

6.375 can be written as,
1)  6.375 = 637.5 / 100 = 637.5%
2) 6.375 = 6 + 0.375 = 6 + 3 / 8 = 6 3/8
3) 6.375 = 63705 / 1000 = 51 / 8

Thus, the required three equivalent forms of 6.375. is 6 3/8, 637.5%, 51/8. Option D is correct.

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Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

From the given information provided, the total cost of olivia membership fee and her car wash is $82.

The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:

3 car washes x $14.00 per car wash = $42.00

So the total cost for Olivia's membership fee and three car washes would be:

$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00

Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?

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(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

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All the correct options are,

B) There are 3 terms in the simplified product.

E) The final simplified product is,  - 3y² + 37y - 84

We have to given that,

An expression to solve,

⇒ - 3 (y - 5)² - 9 + 7y

Simplification needs a few steps:

⇒ - 3 (y - 5)² - 9 + 7y

⇒ - 3 (y² + 25 - 10y) - 9 + 7y

⇒ - 3y² - 75 + 30y - 9 + 7y

⇒ - 3y² + 37y - 84

Hence, There are 3 terms in the simplified product.

And, The final simplified product is,  - 3y² + 37y - 84

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Complete question is,

Consider the expression –3(y – 5)2 – 9 + 7y.

Which statements are true about the process and simplified product? Check all that apply.

A=The first step in simplifying is to distribute the –3 throughout the parentheses.

B=There are 3 terms in the simplified product.

C=The simplified product is a degree 3 polynomial.

D=The final simplified product is –3y2 + 7y – 9.

E=The final simplified product is –3y2 + 37y – 84.

Answer:

9 7/12

Step-by-step explanation:

1 3/4 + 3 1/3 + 4 1/2

1 + 3 + 4 = 8

8 + 3/4 + 1/3 + 1/2

8 + 9/12 + 4/12 + 6/12

8 + 19/12

8+ 1 7/12

9 + 7/12

9 7/12

The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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By following Bob's and Paul's age the required expression is                  4x + 2  =  3x - 1.

A mathematical expression is the combination of different numbers, letters, and mathematical operators.

There are basically two kinds of expressions that is numerical and alphabetical.

We are given the following in the question:

Let x be represent the Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

4x + 2 years

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

3x - 1 years

If Bob's age and Paul's age is equal, we can write:

4x + 2 years =  3x - 1 years

Thus, the required expression is

4x + 2  =  3x - 1

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f(x) = x - 4

g(x) = 2x

We need to find g(f(-2)), which means

Find f(-2) at first by substitute x by -2 in f

f(-2) = (-2) - 4 = -2 - 4 = -6

Replace f(-2) by -6

Now we need to find g(-6)

Substitute x in g by -6

g(-6) = 2(-6) = -12

g(f(-2)) = -12

If the city is planting each tree 12 feet apart, then they can plant 880 trees on 2 miles of streets.

To determine how many trees can be planted on 2 miles of streets, we need to convert the distance from miles to feet. Since there are 5,280 feet in a mile, 2 miles of streets would be equal to:

2 * 5,280 = 10,560 feet.

Given that each tree is being planted 12 feet apart, we can divide the total length of the streets by the distance between each tree to find the number of trees that can be planted.

So, 10,560 feet divided by 12 feet per tree equals 880 trees. Therefore, they can plant 880 trees on 2 miles of streets.

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Answer:

C, D and E

Step-by-step explanation:

Given

Represent solid beads with S and clear beads with C

So:

\(S:C = 8:20\)

Required

Select operations that give an equivalent ratio

First, we need to get the unit ratio

\(S:C = 8:20\)

Divide through by 4

\(S:C = 2:5\) -- This means that, after any operation. The equivalent ratio must be 2: 5

Option A: Add 2 to S and 2 to C

\(S:C = 8:20\)

Perform the operation

\(S:C = 8 + 2 : 20 + 2\)

\(S:C = 10 : 22\)

Divide through by 2

\(S:C = 5:11\)

Option B: Subtract 8 from S and 6 from C

\(S:C = 8:20\)

Perform the operation

\(S:C = 8 - 8 : 20 - 6\)

\(S:C = 0 : 14\)

Option C: Multiply S and C by 2

\(S:C = 8:20\)

Perform the operation

\(S:C = 8*2:20*2\)

\(S:C = 16:40\)

Divide through by 8

\(S:C = 2:5\)

Option D: Divide S and C by 4

\(S:C = 8:20\)

Perform the operation

\(S:C = 8/2:20/4\)

\(S:C = 2:5\)

Option E: Multiply S and C by 18

\(S:C = 8:20\)

Perform the operation

\(S:C = 8*18:20*18\)

\(S:C = 144:360\)

Divide through by 72

\(S:C = 144/72:360/72\)

\(S:C = 2:5\)

From the calculations above, options C, D and E gave an equivalent of 2:5.

The length of the field is 21.5 meters

The width of the field is 10.75 meters

If "w" is the width, then the length is 43 - 2w.

As the area of the rectangular field = length × width

= w(43 - 2w)

Area = \(43w - 2w^2\)

the vertex of the x coordinate is w and this is a quadratic equation.

w = \(-b/2a\)

Here a = -2 and b = 43

w = .\(-43/2(-2)\)

w = \(-43/4\) = -10.75

So the width of the field is 12.25 meters.

The length of the filed = 43 - 2(10.75) = 21.5

Area = 10.75 × 21.5 = 231.125 square meters.

The field has an area of 228.

Therefore, the length must be 21.5 meters and the width must be 10.75 meters.

21.5 × 10.75 =294 square meters.

Therefore, the length of the field is 21.5 meters, and the width of the field is 10.75 meters.

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After 1.8 years, the value equals the amount she paid for the car.

The value will be $ 22,131.10.

To solve the problem, find both the expense equation and depreciation equation.

The exponential depreciation equation will be:

\(y=25,900(1-0.082)^x\)

Where x represents time in years.

The expense equation will be: y=550 x+10,000

Where x represents the number of months that have passed

If x represents time in years in the expense equation, then it determines the yearly payment rather than the monthly payment.

Over the course of the year, Nina will have paid 550(12) or $ 6,600 in car payments.

The new yearly expense equation will be: y=6,600 x+10,000

Where x is time in years.

Use the two equations to find the point of intersection which will give the time she paid for the car and the value paid by her.

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The correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676

In this scenario, the director of a customer service center wants to estimate the mean number of customer calls the center handles each day. To create a 90% confidence interval for the true mean number of calls, the director needs to use a confidence interval formula that takes into account the sample size, sample mean, and the standard error of the mean.

The standard error of the mean, denoted as \($SE_{\bar{x}}$\), represents the standard deviation of the sampling distribution of the mean. It can be calculated using the formula:

\($SE_{\bar{x}} = \frac{s}{\sqrt{n}}$\)

where\($s$\) is the sample standard deviation and \($n$\) is the sample size.

The director can use the t-distribution to create the confidence interval, as the sample size is relatively small (less than 30). The formula for the 90% confidence interval is:

\($\bar{x} \pm t^* \frac{s}{\sqrt{n}}$\)

where\($\bar{x}$\) is the sample mean, \($s$\) is the sample standard deviation,\($n$\) is the sample size, and \($t^*$\) is the critical value from the t-distribution with (n-1) degrees of freedom and a 90% confidence level.

To determine the value of \($t^*$\), the director needs to consult a t-distribution table or use a statistical software. For a 90% confidence interval and 47 degrees of freedom (48 - 1), the value of \($t^*$\) is approximately 1.676.

Therefore, the correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676. Using this value, the director can calculate the confidence interval by plugging in the sample mean, sample standard deviation, and sample size into the formula. This will give an estimate of the range of values where the true population mean lies with 90% confidence.

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Answer:

120 m

Step-by-step explanation:

just mutiply 20 by 2 and 40 by 2. You will get 40 and 80.

so, 20+80=120m

The speed of the boat in still water is 12 miles per hour, and the speed of the current is 9 miles per hour.

To solve this problem, we can use the concept of relative speed and the formula: Distance = Speed x Time.

Let's denote the speed of the boat in still water as 's' (in miles per hour) and the speed of the current as 'c' (in miles per hour).

When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the speed downstream is s + c.

Similarly, when the boat is traveling upstream (against the current), its effective speed is decreased by the speed of the current. Therefore, the speed upstream is s - c.

Given:

Distance downstream = 210 miles

Time downstream = 10 hours

Using the formula: Distance = Speed x Time, we can write the equation for the downstream journey as:

210 = (s + c) x 10

Simplifying the equation, we have:

21 = s + c

Similarly, for the upstream journey:

Distance upstream = 210 miles

Time upstream = 70 hours

The equation for the upstream journey becomes:

210 = (s - c) x 70

Simplifying:

3 = s - c

Now we have a system of equations:

21 = s + c

3 = s - c

We can solve this system of equations to find the values of 's' and 'c'. Adding the two equations together, we get:

24 = 2s

s = 12

Substituting the value of 's' back into either equation, we find:

3 = 12 - c

c = 9

Therefore, the speed of the boat in still water is 12 miles per hour, and the speed of the current is 9 miles per hour.

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a boat traveled 210 miles downstream and back. the trip downstream took 10 hrs. the trip back took 70 hours. Use the concept of relative speed to solve this problem.

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

Answer:

x-intercept: (8, 0)

y-intercept: (0, -4)

Step-by-step explanation:

The statement "the variance of a probability distribution is based on the sum of squared differences from the mean multiplied by the probability of x" is False.

The variance of a probability distribution is not based on the sum of squared differences from the mean multiplied by the probability of x. The variance is actually calculated as the average of the squared differences between each value in the distribution and the mean. It measures how spread out the values in the distribution are.

To calculate the variance, you need to follow these steps:

1. Calculate the mean (μ) of the distribution.

2. For each value (x) in the distribution, subtract the mean and square the result.

3. Multiply each squared difference by its corresponding probability (P(x)).

4. Sum up all the resulting values.

5. This sum represents the variance (σ^2) of the distribution.

The formula for calculating the variance is:

σ^2 = Σ [P(x) * (x - μ)^2]

Where:

- σ^2 represents the variance.

- Σ denotes the summation symbol, which means you need to sum up all the values.

- P(x) represents the probability of each value x.

- x is a specific value in the distribution.

- μ is the mean of the distribution.

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Answer:18000$

Step-by-step explanation: