Find X
3x + 16
5x-10

Find X3x + 165x-10

Answers

Answer 1
X = 13
3x + 16 = 5x - 10
Take the 3x and change the symbol making it -3x and subtract them on both sides, which would be under 3x and 5x giving you
16 = 2x - 10
Take the negative 10 and change the symbol which would be positive 10 and subtract them in both sides giving you
26 = 2x divide both sides by 2 which gives ur answer of 13 = x. You can also check to see if the answer is right by replacing x on the problems with 13

Related Questions

Which describes the role of oxygen in photosynthesis? A. It is a reactant, so it is released by the plant. B. It is a product, so it is released by the plant. C. It is a reactant so it enters the plant. D. It is a product, so it enters the plant. ​

Answers

Answer:

B) It is a product, so it is released by the plant.

Step-by-step explanation:

- Plants release oxygen for humans and humans give carbon dioxide to plants.

- The role of oxygen in photosynthesis is a waste product.

Answer: The oxygen gas is a product, so it is released by the plant.

Explanation:

Photosynthesis is defined as the process by which the producers make glucose with the help of carbon dioxide and water in the presence of sunlight.

The chemical equation representing this reaction follows:

In the above reaction, oxygen gas is written on the product side. So, it is formed by the plant and is released.

Hence, the oxygen gas is a product, so it is released by the plan.

A rocket rises at 5 ft/s between 0 and 10 seconds. Afterwards it rises at 15 ft/s for another 15 seconds. Use one loop to calculate the rockets height at the end of the 25 seconds. Use h as the variable for height.

Answers

The height of the rocket at the end of the 25 seconds is 275 ft.

We have given that,

a rocket rises at 5 ft/s between 0 and 10 seconds,

therefore

V₁ = 5 ft/s

T₁ = 10 seconds

Height in first 10 seconds = ?

we know the formula to find the height,

i.e Height = velocity × time

⇒ H₁ = V₁ × T₁

        = 5 × 10

   H₁ = 50 ft

Therefore height of the rocket in the first 10 seconds is 50 ft.

Now it given that, rocket rises at 25 ft/s for another 15 seconds.

i.e V₂ = 15 ft/s

    T₂ = 15 seconds

    H₂ = ?

H₂ = V₂ × T₂

    = 15 × 15

H₂ = 225 ft

Therefore height of the rocket in next 15 seconds is 225 ft.

Now we will find the height of the rocket at the end of the 25 seconds.

i.e H = H₁ + H₂

       = 50 + 225

    H = 275 ft

Hence the height of the rocket at the end of 25 seconds is 275 ft.

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please help, Find the solution to the given inequality and pick the correct graphical representation

please help, Find the solution to the given inequality and pick the correct graphical representation

Answers

Using the answers possible, you could pick x=0 and see if 0 work.  

-3 + | 0-2 | > 5

 -3 + | -2 | > 5

      -3 + 2 > 5

             -1 > 5

this is false, so any answer that includes 0 is not correct

this eliminates "-6 < x < 10" and "x > -6 or x < 10" since they both include 0.

that leaves only "x < -6 or x > 10".  

And the graph that matches this answer is the very bottom graph with two open circles at -6 and 10 and arrows pointing outward.  

Now if you want to solve the inequality, that'd look like this:

-3 + | x - 2 | > 5

      | x - 2 | > 8    by adding 3 to both sides

this will split into "x - 2 > 8 or x - 2 < -8"

Solving each of those, you'd have "x > 10 or x < -6" which is the answer we previously determined.

Write the equation in factored form then stayed the X intercepts

Write the equation in factored form then stayed the X intercepts

Answers

Step 1

Given;

\(y=x^2+x-20\)

Required; To write the equation in factored form

Step 2

Find the two factors that when added gives you x and when multiplied gives -20x²

\(\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}\)

\(\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}\)

Step 3

State the x-intercept

\(\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}\)

Hence, the x-intercepts are;

x=4

x=-5

The product of 16 and a number x

Answers

Step-by-step explanation:

the answer id 16 multiply by x number mens 16×x

Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0

Answers

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

What is factoring by grouping?

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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What is the range of the function?
(-7,-1) (-2,-4) (0,-1) (5,-9)

Answers

Answer:

range: (-1,-9,-4)

domain: (-7,-2,0,5)

Answer:

What is the range of the function?

(-7,-1) (-2,-4) (0,-1) (5,-9)

192

In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.

Answers

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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The question is below, please answer. This is in a hurry!

The question is below, please answer. This is in a hurry!

Answers

Answer:

A)

Step-by-step explanation :

This question isn't too hard, but you would have to use similar triangles.

RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Basic Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P(Z >c)=0.8729 Round your answer to two decimal places. 0 ?

Answers

The z-score is approximately 1.16. Therefore, the value of c, rounded to two decimal places, is 1.16.

To determine the value of c such that P(Z > c) = 0.8729, where Z follows the standard normal distribution, we need to find the corresponding z-score for the given probability.

Using a standard normal distribution table or a calculator, we can find the z-score associated with the given probability. In this case, the probability is 0.8729, which represents the area under the standard normal curve to the left of the z-score.

Looking up the z-score for a cumulative probability of 0.8729, we find that the z-score is approximately 1.16.

Therefore, the value of c, rounded to two decimal places, is 1.16.

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please help with number 2

please help with number 2

Answers

Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Decide if the statement is giving you the x or y value of the function

Decide if the statement is giving you the x or y value of the function

Answers

Answer: 1a. f(2) is an x-value

1b. f(x) = 4 is a y-value

1c. f(-10) is an x-value

1d. m(x) = 64 is a y-value

2.  f(4) = 17

3.  x = 39

Step-by-step explanation:  In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.

2.) f(x) = 2x + 9

f(4) = 2(4) + 9

f(4) = 8 + 9

f(4) = 17

3. f(x) = 5x -3

192 = 5x -3

192 + 3 = 5x

195 = 5x

39 = x

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Answers

Answer:

y= -2x+3....…........

Molly increased her original score as a bowler by 20% giving her a new score of 75. What was her original score?

Answers

Answer:

62.5

Step-by-step explanation:

120% = 75

100% = ?

cross multiply

62.5

Her original score was 62.5

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, her new score as 75 then let his original score be x

then 75 = (1+20%) × x

           x= 75/1.2

             = 62.5

Hence, the original score is 62.5

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Consider the following IS-LM model: C=217+0.51Y D ​ I=156+0.16Y−1,038i G=254 T=203 i=0.04 ​ The IS equation is determined to be Y=1,586.27−3,145.45. The LM equation is given as i=0.04. Using the IS and LM equations, the equilibrium real output, Y, is (Round your response to the nearest integer.) Using the IS-LM model, the equilibrium value of consumption, C, is (Round your response to the nearest integer.)

Answers

In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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A cantilevered beam is subjected to uniform pressure on the top surface as shown in the figure below. E = 29.5×106 psi, ν = 0.31, thickness = 1 inch, P = 25 psi.
(a) If L = 40 inch, h = 4 inch (slender beam), find the maximum normal stress σx on the support and the displacements at the center of the free end (use slender beam theory).
(b) If L = 10 inch, h = 4 inch (deep beam), find the maximum normal stress σx on the support and the displacements at the center of the free end

Answers

a) The maximum normal stress is -50 psi and displacement is  -0.090 inch. b)  The maximum normal stress is -50 psi and displacement is -0.023 inch.

To solve this problem, we'll use the slender beam theory. The slender beam theory assumes that the beam is long and slender, meaning its length is much greater than its thickness. Let's solve the problem step by step.

(a) Slender Beam (L = 40 inch, h = 4 inch)

Step 1: Calculate the maximum normal stress on the support (σx).

The formula for the maximum normal stress on the support of a cantilevered beam under uniform pressure is given by:

σx = -0.5 * P * h / t

where P is the pressure, h is the height of the beam, and t is the thickness of the beam.

Substituting the given values:

P = 25 psi

h = 4 inch

t = 1 inch

σx = -0.5 * 25 * 4 / 1

= -50 psi

The negative sign indicates that the stress is compressive.

Therefore, the maximum normal stress on the support is -50 psi.

Step 2: Calculate the displacement at the center of the free end.

The formula for the displacement at the center of the free end of a cantilevered beam under uniform pressure is given by:

δ = -P * \(L^{3}\) / (3 * E * t * \(h^{2}\))

where δ is the displacement, P is the pressure, L is the length of the beam, E is the elastic modulus of the material, t is the thickness of the beam, and h is the height of the beam.

Substituting the given values:

P = 25 psi

L = 40 inch

E = 29.5×\(10^{6}\) psi

t = 1 inch

h = 4 inch

δ = -25 * \(40^{3}\) / (3 * 29.5×\(10^{6}\) * 1 * \(4^{2}\))

≈ -0.090 inch

Therefore, the displacement at the center of the free end is approximately -0.090 inch.

(b) Deep Beam (L = 10 inch, h = 4 inch)

Step 1: Calculate the maximum normal stress on the support (σx).

Using the same formula as in the previous step:

σx = -0.5 * P * h / t

Substituting the given values:

P = 25 psi

h = 4 inch

t = 1 inch

σx = -0.5 * 25 * 4 / 1

= -50 psi

The negative sign indicates that the stress is compressive.

Therefore, the maximum normal stress on the support is -50 psi.

Step 2: Calculate the displacement at the center of the free end.

Using the same formula as in the previous step:

δ = -P * \(L^{3}\) / (3 * E * t * \(h^{2}\))

Substituting the given values:

P = 25 psi

L = 10 inch

E = 29.5×\(10^{6}\) psi

t = 1 inch

h = 4 inch

δ = -25 * \(10^{3}\) / (3 * 29.5×\(10^{6}\) * 1 * \(4^{2}\))

≈ -0.023 inch

Therefore, the displacement at the center of the free end is approximately -0.023 inch.

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Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson today, how many days will be till the next date on which she has both swimming and diving lessons?

Answers

Answer:

15 days

Step-by-step explanation:

Take LCM of 3 and 5 and u get your answer

If $3200 is deposited into a savings account with a 3. 5% interest rate, compounded quarterly, what will be the value of the account after 15 years?

Answers

The value of the account after 15 years will be approximately $5,756.24.

What is the future value of a savings account after 15 years with a $3,200 deposit and a 3.5% interest rate compounded quarterly?

To calculate the future value of the savings account, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the future value, P is the principal (initial deposit), r is the interest rate (expressed as a decimal), n is the number of compounding periods per year, and t is the number of years. In this case, the deposit is $3,200, the interest rate is 3.5% (or 0.035), and compounding is done quarterly (n = 4). Substituting these values into the formula with t = 15 years, we can calculate the future value. Therefore, the value of the account after 15 years will be approximately $5,756.24.

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if two secants of a circle are ____ then they cut off congruent arcs

Answers

Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

What is the answer to the question

What is the answer to the question

Answers

Answer: Circle

Step-by-step explanation:

is у = 3х3 – 3 linear?

Answers

Given the equation :

\(y=3x^3-3\)

It is a cubic function because the power of x = 3

The cubic function is not linear function

The linear function has the form : y = m * x + b

The power of x for the linear function = 1

so, the answer is : No

A group of 12 students take both the SAT Math and the SAT Verbal. The least-squares regression line for predicting Verbal score from Math score is determined to be: Verbal

Answers

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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I need help to find the value of x. Round to the nearest tenth

I need help to find the value of x. Round to the nearest tenth

Answers

Answer:

17.1

Step-by-step explanation:

tan(35)=12/x, x=17.1

Answer:

x ≈ 17.1

Step-by-step explanation:

The angle is 35 degrees, so we do tan(35)

Which equals the side divided by x.

tan(35) = 12 / x

So x ≈ 17.1

How do you know if a question is permutation or combination?

Answers

It is a permutation. If the order of the items does not matter, it is a combination.

Permutation and combination are two types of mathematical concepts that are used to determine the number of ways to arrange a set of items. The main difference between permutation and combination is the order of the items.

A permutation is an arrangement of objects in a specific order. It means that the order of the items matters. For example, if we have three items, A, B, and C, the permutations of these items are ABC, ACB, BAC, BCA, CAB, and CBA.

A combination is a selection of items without regard to the order. It means that the order of the items does not matter. For example, if we have three items, A, B, and C, the combinations of these items are AB, AC, BC, and BA, CA, CB.

To know if a question is permutation or combination, you should look at the problem carefully and see if the order of the items matters or not. If the order of the items matters.

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find k such that the function is a probability density function over the given interval. then write the probability density function.
f(x) = kx^2;[0,3]

Answers

Given the function is f(x) = kx² and the interval is [0, 3]. To find k such that the function is a probability density function over the given interval, follow these steps:Step 1: For a probability density function, the area under the curve should be equal to 1.

Step 2: Integrate the given function to get ∫₀³ kx² dx = k(x³/3) [0, 3] ∫₀³ kx² dx = k(3³/3 − 0³/3) ∫₀³ kx² dx = 9kStep 3: Equate the above value to 1. 9k = 1 k = 1/9Now that we have found k, we can write the probability density function.The probability density function is given as:f(x) = kx², where k = 1/9; and the interval is [0, 3].f(x) = (1/9)x²;[0,3]Hence, the probability density function is f(x) = (1/9)x², where the interval is [0, 3].

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Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction 5 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction

Answers

Given:

The expression is \(\dfrac{7}{\frac{5}{8}}\).

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

\(\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}\)

We have,

\(\dfrac{7}{\frac{5}{8}}\)

It can be written as

\(\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}\)

Using the rule "multiply by the reciprocal", we get

\(\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}\)

\(\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}\)

\(\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}\)

Therefore, the correct option is D.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16. what is the mean for this sample?

Answers

The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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I could use some help to find out Tony’s mistake(s)

I could use some help to find out Tonys mistake(s)

Answers

To find the shaded area you subtract the area of the triangle from the area of the rectangle:

\(A_{shaded}=A_{rec\tan gle}-A_{triangle}\)\(\begin{gathered} A_{shaded}=w\cdot l-\frac{1}{2}b\cdot h \\ \\ A_{shaded}=(5cm)(11cm)-\frac{1}{2}(5cm)(3cm) \end{gathered}\)

Then, Tony's mistake was that he added the areas instead of subtract it.

The shaded are is:

\(\begin{gathered} A_{shaded}=55cm^2-\frac{15}{2}cm^2 \\ \\ A_{shaded}=55cm^2-7.5cm^2 \\ \\ A_{shaded}=47.5cm^2 \end{gathered}\)Then, the shaded area is 47.5 square centimeters

plz help me plz asap

plz help me plz asap

Answers

Answer:

I think it is

A=12%

B=-58%

C=60.2

I am extremely sorry if im wrong

have a good day

Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music?

Answers

Answer:

696 students

Step-by-step explanation:

First we can see that 1200 is 12 times 100.  We can confirm this by doing 1200/100 =12.  Then we see that 58 students out of each 100 like art over music.  So we can do 58*12= 696 because we are just multiplying the ratio of 1:12 to 58:696

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