what is x + 3 1/2 = 9

The areas of triangles ABC are

12. The area is 4.8 cm²

13. The area is 61.4 m²

14.  The area is 9.0 ft²

The area of a triangle is the region occupied by the triangle.

12. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2bcsinA

= 1/2 × 7 cm × 4 cm × sin20°

= 7 cm × 2 cm × sin20°

= 14 cm² × sin20°

= 14 cm² × 0.3420

= 4.788 cm²

≅ 4.8 cm²

The area is 4.8 cm²

13. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2absinC

= 1/2 × 10 m × 15 m × sin55°

= 5 m × 15 m × sin55°

= 75 cm² × sin55°

= 75 cm² × 0.8192

= 61.436 cm²

≅ 61.4 cm²

The area is 61.4 cm²

14. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2acsinB

= 1/2 × 3 ft  × 9 ft × sin42°

= 1/2 × 27 ft² × sin42°

= 13.5 ft² × sin42°

= 13.5 ft² × 0.6691

= 9.033 ft²

≅ 9.0 ft²

The area is 9.0 ft²

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Answer:

123.15

Step-by-step explanation:

Answer:

1/2×10×6=30

Step-by-step explanation:

H=6

L=10

therefore;

1/2×6×10=30

Answer:

30 units²

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = \(\frac{1}{2}\) × Base × Height

Given that,

Base = 10 units

Height = 6 units

Now let us find the area of the triangle.

Area = \(\frac{1}{2}\) × Base × Height

Area = \(\frac{1}{2}\) × 10 × 6

Area = \(\frac{1}{2}\) × 60

Area = 30 units²

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

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

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Step-by-step explanation:

07 x x x x x x x x x

Nine x's can be any odd number ( 1 3 5 7 9   = five choices)

               5^9 = 1 953 125 choices

she has a one in 1 953 125  chance of getting it correct

    1/ 1953 125 chance  = 5.12 x 10^-7    chance  

Answer:a

Step-by-step explanation:

The point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

Let's suppose the divisor is Q

Then from the remainder theorem:

f(x) = (x+2)Q -6

\(\rm 3x^3+8x^2+5x-4=(x+2)Q-6\)

If we put x = -2, then

\(\rm 3(-2)^3+8(-2)^2+5(-2)-4=(-2+2)Q-6\)

\(\rm 3\times-8+8\times4-10-4=-6\)

-24 + 32 -10 -4 = -6

-6 = -6

It means (-2, -6) lies on the function(also refer the graph of the function)

Thus, the point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

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In the first case the solution comes to be equal to 4.75% and in second one it is equal to 1.73

What is Standard Deviation ?

The standard deviation is a metric that reveals the degree of variation (such as spread, dispersion, and spread) from the mean. The standard deviation represents a "average" departure from the mean. Because it uses the original units of measurement from the data set, it is a well-liked measure of variability. Similar to variance, there is little variation when data points are close to the mean, but there is much variation when data points are widely scattered from the mean. The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value. It is independent of origin but not of scale. It is also useful in certain advanced statistical problems.

Given that,

μ = 1.5

σ = 0.18

a. P ( X>1.8 ) = 1 - P(X<1.8) = 1 - P ( X-μ / σ < 1.8 - 1.5 / 0.18 )

  = 1 - P (Z<1.67)

  = 1 - 0.9525

  = 0.0475

Which is approximately equal to 4.75%

b. P (X > x) = 0.10

  = P (X < x) = 1 - 0.10 = 0.90

      x - 1.5 / 0.18 = 1.28

     x = 1.7304

which is approximately equal to 1.73.

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Given:

The vertices of ΔABC are A(-4,4), B(-2,5), and C(-5,2).

The triangle ABC is reflected across the line y-axis to produce the image ΔA'B'C'.

To find:

The coordinates of ΔA'B'C'.

Solution:

If a figure is reflected across the y-axis, then

\((x,y)\to (-x,y)\)

Using this rule, we get

\(A(-4,4)\to A'(4,4)\)

\(B(-2,5)\to B'(2,5)\)

\(C(-5,2)\to C'(5,2)\)

Therefore, the vertices of the ΔA'B'C' are A'(4,4), B'(2,5) and C'(5,2).

Answer: 1680ml

Step-by-step explanation:

1000 mL are in 1 L, so with that logic

1=1000

.68=680

1000+680=1680

Answer:

first is 52°C

Step-by-step explanation:

Answer:

414

Step-by-step explanation:

6 x 69= 414

Answer:

618

Step-by-step explanation:

9n-3

9 x 69 - 3

= 618

........

Answer:

d(sum of twice a no and two)

Step-by-step explanation:

Answer:

correct answer is B

Step-by-step explanation:

two times the sum of a number and 2:

2(x+2), which is not correct

Answer:

85%

Step-by-step explanation:

The students who read less than six magazines would be placed in the intervals: 0-1, 2-3, and 4-5 on the graph. Adding up the total amount in those intervals gives us:

2 + 15 = 17

So, using the answer from b, we can say that 17/20 kids read magazines. Now, we need to convert it into a percent by multiplying by 100:

17/20 *100

17 * 5

85%

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

B

Step-by-step explanation:

So remember that a quarter of a circle is 90 degrees, a half of a circle is 180 degrees, and a whole circle is 360 degrees.

Looking at the image shown, it must be half a circle, whihc is 180 degrees. The image tells us that the 1st angle is 7 degrees. Now, we must find the 2nd angle.

Heres what we know however:

angle 1 + angle 2 = 180 degrees.

How do we know this?

Well, there are only 2 angles in this 180 degrees. We know that the first one is 7 degrees.

Lets input that into our nice lil equation to get an answer:

7 degrees+angle 2 = 180 degrees

Now lets solve.

Subtract 7 on both sides, and your left with:

angle 2 = 173 degrees.

So the answer must be:

173 degrees

Hope this helps! ;)

Answer:

Let's see what to do buddy...

Step-by-step explanation:

\(2x + 3y = 11\)

Subtract the sides of the equation minus 2x :

\(3y = 11 - 2x\)

Divided the sides of the equation by 3 :

\( \frac{3}{3}y = \frac{ - 2x + 11}{3} \\ \\ y = - \frac{2}{3}x + \frac{11}{3} \)

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

Hey there!☺

\(Answer:\boxed{y=\frac{3}{2}x-3}\)

\(Explanation:\)

3x - 2y = 6 | Solve for y

3x - 2y + -3x = 6 + -3x  Add -3x to both sides

-2y = -3x + 6

-2y/-2 = -3x+6/-2  Divide both sides by -2

y = 3/2x - 3

Hope this helps!

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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