9=4(s-3)

Help me what’s the correct answer?

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = \(\frac{S}{w}\)

⇒ k = \(\frac{1}{1.25}\) = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = \(\frac{S}{0.8}\)

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25

Answer:

I haven't learned this but I think it's D.

Step-by-step explanation:

There are 550 pages in the book and Naoya read the entire book in ten hours.

Given that,

Naoya read a book from beginning to end in a single sitting, turning 55 pages per hour. He still had 350 pages to read after four hours. The number of pages to read for P as a function of time t is denoted by P(t), left parenthesis, t, and right parenthesis (measured in hours).

We have to find the function's formula in writing.

We know that,

Naoya consumed 55 pages each hour, or 55T pages, during the course of T hours.

The number of pages Naoya has already read and the number of pages still to be read make up the total number of pages. This can be stated using the formula B=55T+R, where

B is a measure of the book's size.

T stands for time (in hours)

R is the total number of pages to be read at any given moment.

We are aware that Naoya has 330 pages left to read after reading for 44 hours (T=4) (R=330). To determine the value of B, let's enter these values into the equation.

B=55×4+330=550

We get the book is 550 pages long.

We may enter R=0 into the equation and calculate T to determine how long it took Naoya to complete the entire book.

550 =55T + 0

55T = 550

T= 10

Therefore, There are 550 pages in the book and Naoya read the entire book in ten hours.

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Answer:

164 Cm^3

Step-by-step explanation:

Solution

V=

3

3

2

a

2

h

=

3

3

2

3

2

7

≈

163.6788

The first term and common difference of the arithmetic series are -11 and 3.

In the arithmetic series, S₄₀ = 1900 and U₄₀ = 106

Hence,

Sₙ = n / 2 (2a + (n - 1)d)

S₄₀ = 20(2a + 39d)

S₄₀ = 40a + 780d

1900 =  40a + 780d

Uₙ = a + (n - 1)d

U₄₀ = a + 39d

106 = a + 39d

Combine the equation

a + 39d = 106

40a + 780d = 1900

20a + 780d = 2120

40a + 780d = 1900

20a = - 220

a = -220 / 20

a = -11

Hence,

106 = a + 39d

106 = -11 + 39d

106 + 11 = 39d

117 = 39d

divide both sides by 39d

d = 117 / 39

d = 3

Therefore, the first term and common difference of the arithmetic series are -11 and 3.

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Using the binomial distribution, considering the probability of each event, the correct histogram is the fourth one.

For each question, there are only two possible outcomes, either the student guesses the correct answer, or not. The probability of guessing the correct answer on a question is independent of any other question, hence the binomial distribution is used to solve this question.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Then, the probabilities are as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125\)

\(P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625\)

\(P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125\)

\(P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125\)

\(P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625\)

\(P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125\)

Hence the fourth histogram is correct.

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Answer:

{x| x = -7, -6, 2, 11, 3}

Step-by-step explanation:

domain of a relation is the set of values of that act as input

so answer:-

{x| x = -7, -6, 2, 11, 3}

domain is taken as x

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

Answer:

Milla's account would earn $63 more that Gino's account after 1 year.

Step-by-step explanation:

Both Gino and Milla made an initial deposit of $6300.

Principal = $6300

Gino's rate = 2% = 0.02

Milla's rate = 3% = 0.03

number of years = 1

Interest = Principal x Rate x Time

So that,

for Gino;

Interest = 6300 x 0.02 x 1

            = 126

The interest on Gino's savings after a year is $126.

for Milla;

Interest = 6300 x 0.03 x 1

             = 189

The interest on Milla's savings after a year is $189.

Milla's interest - Gino's interest = 189 - 126

                                                   = 63

Milla's account would earn $63 more that Gino's account after 1 year.

No, it is not possible for matrix A and B to be similar when B = A + I, where A is an nxn matrix and I is the identity matrix of the same size.

Two matrices A and B are said to be similar if there exists an invertible matrix P such that \(B = P^{(-1)}AP\). In this case, A and B have the same eigenvalues, and their corresponding eigenvectors can be related through the matrix P.

Let's consider the eigenvalues of B. Since B = A + I, the eigenvalues of B are obtained by adding 1 to each eigenvalue of A. In other words, if λ is an eigenvalue of A, then λ + 1 is an eigenvalue of B.

Now, suppose A and B are similar. This means that they have the same eigenvalues. However, the eigenvalues of B are shifted by 1 compared to the eigenvalues of A. Therefore, it is not possible for A and B to have the same eigenvalues, unless A has eigenvalues that are all equal to -1.

Since the eigenvalues of A and B are different, we can conclude that A and B cannot be similar.

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Answer:

The answer is C

Step-by-step explanation:

You would move the dot on the number to the right 5 spots, ending up at -4.

The formula for y in terms of x is y = 3/x³.

Inversely Proportional:

When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.

So, it can be written as,

y = k/x

where,

y is inversely proportional to x and k is the constant of proportionality.

Given,

Y is inversely proportional to the cube of x.

Here we need to find the formula for y in terms of x.

We know that, y is inversely proportional to the cube of x.

So, it can be written as

=> y = k / x³

Where k is the constant.

To find the formula of y,

First we need to find the value of k,

By applying the value of x and y,

So,

=> 24 = k / (1/2)³

=> 24 = k / 1/8

=> 24/8 = k

=> k = 3

Therefore, the formula for y in terms of x is,

=> y = 3/ x³

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Answer:

divide by 5/3

Step-by-step explanation:

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

The answer is -285

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

You do not have an addition or subtraction sign between -16x and 5y.  I am assuming that you mean addition.

Take -4x + y = 1 and multiply it all through by -4

16x - 4y = -4  Add this to the second equation

-16x + 5y = 8

          y = 4

Substitute 4 for y in either of the two original equations.

-4x + y = 1

-4x + 4 = 1   Subtract 4 from both sides

-4x + 4 - 4 = 1 - 4

-4x = -3  Divide both sides by -4

x = \(\frac{3}{4}\)

The solution is (\(\frac{3}{4}\), 4)

Helping in the name of Jesus.

Given the function:

Where h is the height of the rocket and t is the time in seconds

The rocket launches at t = 0

so, to find the height substitute with t = 0 into the function

so, the height =

so, the answer will be when t = 0 , h(t) = 122

How long will the rocket remain in the air ?

So, we will find the value of t when h(t) = 0

Answer:

D

Step-by-step explanation:

Solving the inequality

- 3x + 5 > 4 ( subtract 5 from both sides )

- 3x > - 1

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative value.

x < \(\frac{1}{3}\)

The only value not less than \(\frac{1}{3}\) is 4 → D

Answer:

second card = 4  third card = 10 fourth card = 14

Step-by-step explanation:

18+2=20

20÷2=10.

10-2=8

8÷2=4

10+4=14

Answer:    

p+q+r whats v after?

Step-by-step explanation:

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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Given:

The equation is:

\((x-3)^2+2(x-3)-8=0\)

To find:

The value of x.

Solution:

We have,

\((x-3)^2+2(x-3)-8=0\)

Substitute \(x-3=u\).

\(u^2+2u-8=0\)

Splitting the middle term, we get

\(u^2+4u-2u-8=0\)

\(u(u+4)-2(u+4)=0\)

\((u-2)(u+4)=0\)

Using zero product property, we get

\(u-2=0\text{ and }u+4=0\)

\(u=2\text{ and }u=-4\)

Now, substitute \(u=x-3\).

\(x-3=2\text{ and }x-3=-4\)

\(x=2+3\text{ and }x=-4+3\)

\(x=5\text{ and }x=-1\)

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

\((x - 3)^{2} + 2(x - 3) - 8 = 0\)

\((x - 3)(x - 3) + 2(x - 3) - 8 = 0\)

\(x^{2} -6x + 9 +2x - 6 - 8 = 0\)

Simplifying

\(x^{2} -4x - 5 = 0\)

Factorizing, we get

\(x^{2} -5x +x- 5 = 0\)

\(x(x-5)+1(x- 5) = 0\)

\((x+1)(x-5)= 0\)

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

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Hope it's readable. Sorry for the mess.

Answer:

15

Step-by-step explanation:

"of" means times (×)

\(\frac{5}{8} \times\frac{24}{1}\)

Multiply across:

\(5\times 24=120\)

\(8\times 1= 8\)

\(\frac{120}{8}\)

Divide:

\(120\div8=15\)

Therefore, 15 people on the soccer ride the bus.

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

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ok

Taxable income = gross total income - exeptions - deductions

Taxable income = $54768 - $5000 - $1200 - $2100

taxable income = $46468 This is the solution

Answer:

probs too late, but i think the answer is x=12

Step-by-step explanation:

the angles should add up to equal 180

180-36=144

144=8x+4x

144=12x

now divide by both sides to isolate x

12=x

u can check by plugging in ofc, 36+(8x12)+(4x12)=36+96+48=180

:)  hope this helps