Set up expression solve for x 3x^3+20x^2+26x-27 / X+4

The perimeter of the triangle is 16.8 cm.

So, the perimeter of the triangle:

Now, substitute the values in the formula as follows:

Therefore, the perimeter of the triangle is 16.8 cm.

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Answer:

x = 3.8

Explanation:

−2.7 (x−1.4)=−6.48

(−2.7)x + (−2.7)(−1.4) = −6.48

−2.7x+3.78= −6.48

-2.7x = −6.48 - 3.78  ....changing sides, turns + integer to -

-2.7x = -10.26

x = -10.26/ -2.7  ....changing sides, turns * integer to /

x = 3.8

Answer:

The age difference is 18

Step-by-step explanation:

Your mom might be 32 and you might be 14 so all you have to do is subtract 32-14 and you get 18

Answer:

507.6 yd³

Step-by-step explanation:

54x9.4=507.6 yd³

The equation of the line of best fit that Brianna drew is: c. y = 2x + 5

Recall:

Thus:

Slope of a line (m) = change in y/change in x

Change in y = 2 units

Change in x = 1 unit

Slope = 2/1 = 2

The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.

y-intercept (b) = 5

Substitute b = 5 and m = 2 into y = mx + b

y = 2x + 5

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Answer:

c    ..)

Step-by-step explanation:

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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The x-intercept is where the graph passes the x-axis.

The graph extends from {-5 ≤ x ≤ 3}

The x-intercept is {x = -1}.

Answer:

2.17% of students who received a merit scholarship did not receive enough to cover full tuition

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 3464, \sigma = 489\)

If the cost of full tuition was $4450 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition?

This is 1 subtracted by the pvalue of Z when X = 4450. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{4450 - 3464}{489}\)

\(Z = 2.02\)

\(Z = 2.02\) has a pvalue of 0.9783.

1 - 0.9783 = 0.0217

2.17% of students who received a merit scholarship did not receive enough to cover full tuition

Answer:

16 is 40% of 40

Step-by-step explanation:

16 = 40% x Y

16 = 40/100 x Y

y=3 x 100/40

y=40

We have the next information

child admission= $5.40

adult admission= $8.80

x= number of child tickets

y= number of adult tickets

For the first equation, we have the next information, three times as many adult tickets as child tickets were sold

y=3x

For the second equation total

sales of $1113.00

5.40x+8.80y=1113

We will substitute the first equation into the second equation

5.40x+8.80(3x)=1113

we simplify

5.40x+26.4x=1113

31.8x=1113

Then we isolate the x

x=1113/31.8

x=35

then for y we substitute the value of x in the first equation

y=3(35)=105

ANSWER

They sold 35 child tickets and 105 adult tickets

Answer:

Step-by-step explanation:

Step-by-step explanation: 3. 106.977

If you apply the law of Cosines, you should get

106.977 for 3.

Question 1

\(a=1, r=1/2 \implies S_{\infty}=\frac{1}{1-(1/2)}=\boxed{2}\)

Question 2

\(d=10, a_1+5d=52 \implies a_1=2 \\ \\ a_{15}=a_1+14d=2+14(10)=\boxed{142}\)

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

3/10 or 0.3

Step-by-step explanation:

3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

True

Step-by-step explanation:

Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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Answer:

$1.35

Step-by-step explanation:

$0.09/5 = $0.018

75 x $0.018 = $1.35

can i be brainiest...

Mrs.Smith took : her 3 kids + 3 of their friends = 3 + ( 3x 3 ) = 12 kids

Answer:

There are 3 kids, and 3 friends.

3 + 3 = 6

there are a total of 6 kids.

Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

say you have 2 cookies then get 2 more then you have 4

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

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Step-by-step explanation:

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