The area of a rectangle is 100 square
inches. The width of the rectangle
is 8 inches. Which equation can
be used to find the length of the
rectangle?

Answer:

C

Step-by-step explanation:

Solve the first variable in one of the equations, then substitute the result into the other equation.

(-1,8/3)

x=-1, y=8/3

Answer:

c

Step-by-step explanation:

if you plug in all the numbers for the variables c works out

Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

Answer:

x = 1

Step-by-step explanation:

When there is an equation in absolute form like this |3x - 2| that means that there are no negative numbers or subtraction signs. Instead, such things are reversed, so the simplified equation is

3x + 2 = 5

So then we proceed as normal

3(1) + 2 = 5

3 + 2 = 5

5 = 5

The explicit formula is Tn = 18[\(\frac{2}{3} ^{n-1}\)]

here, we have to find n.

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

These equations form a pattern.

That is Tn = (2/3)^(n-1)(18)

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The absolute value of the MRTS between capital and labor is given by |l/k|.

To determine the absolute value of the Marginal Rate of Technical Substitution (MRTS) between capital (k) and labor (l), we need to find the derivative of the production function with respect to capital and labor. In this case, the production function is given by:

q = 2kl

Taking the partial derivative of q with respect to k (holding l constant), we get:

∂q/∂k = 2l

Similarly, taking the partial derivative of q with respect to l (holding k constant), we get:

∂q/∂l = 2k

The absolute value of the MRTS between capital and labor is defined as the ratio of the marginal product of capital (∂q/∂k) to the marginal product of labor (∂q/∂l). Thus, we have:

|MRTS| = |(∂q/∂k) / (∂q/∂l)|

Substituting the partial derivatives we calculated earlier, we have:

|MRTS| = |(2l) / (2k)|

Simplifying the expression, we find:

|MRTS| = |l/k|

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the total dough need to prepare is 21

the dough already prepared is 5

so the remaining dough is 21 - 5 = 16 kg

the rate of dough is 8 dough per hour

so 16/8 = 2

means 16 dough will prepare in 2 hrs

so the time is 2 hrs

The smallest number of people who live in New Jersey as per given data is equal to 3.

The smallest number of people needed to guarantee that there are at least 60 people who live in the same county in New Jersey,

We can consider the worst-case scenario.

Assuming the distribution of people across the counties is such that each county has the same number of people,

Calculate the minimum number of people needed.

Let us assume x is the number of people in each county.

To guarantee that there are at least 60 people in the same county,

Set up the following inequality,

21 × x ≥ 60

Simplifying the inequality,

⇒ x ≥ 60 / 21

⇒ x ≥ 20/7

Since x represents the number of people in each county, it must be a whole number.

The smallest number of people needed is the smallest integer greater than or equal to 20/7.

The smallest integer greater than or equal to 20/7 is 3.

Therefore, smallest number of people needed to guarantee that there are at least 60 people who live in same county in New Jersey is 3.

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Answer: Yes

Step-by-step explanation:

It is in all the rational number categories like natural, whole, integer, or just rational numbers.

Answer:

Tara has 100 combinations to choose from

Step-by-step explanation:

each car has four colours

there are five cars so

5 × 4 = 20

there are 5 seats colors for each car so

20 × 5 = 100

Hope you understand it , I'm bad at English because I'm asian

To find the truth set of the predicate "6/d is an integer" over the domain of integers (Z), we need to determine all the values of d for which the statement is true. a) Therefore, the truth set of the predicate is {1, 2, 3, 6}. b) the truth set of the predicate is {1, 2}.

First, we note that 6/d can only be an integer if d is a divisor of 6. The divisors of 6 are 1, 2, 3, and 6.
For d = 1, we have 6/1 = 6, which is an integer. For d = 2, we have 6/2 = 3, which is also an integer. For d = 3, we have 6/3 = 2, which is an integer. For d = 6, we have 6/6 = 1, which is an integer. Therefore, the truth set of the predicate is {1, 2, 3, 6}.

To find the truth set of the predicate "1≤x^2 ≤ 4" over the domain of integers (Z), we need to determine all the values of x for which the statement is true. First, we note that x^2 can only be an integer if x is an integer. The integers between 1 and 4 (inclusive) are 1, 2, 3, and 4.

For x = 1, we have 1^2 = 1, which satisfies the predicate. For x = 2, we have 2^2 = 4, which also satisfies the predicate.
For x = 3, we have 3^2 = 9, which is not less than or equal to 4, so it does not satisfy the predicate. For x = 4, we have 4^2 = 16, which is not less than or equal to 4, so it does not satisfy the predicate.

Therefore, the truth set of the predicate is {1, 2}.

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Answer:

El resultado es -1.5

Step-by-step explanation:

-3 ÷ 2 = -1.5

The total bill, after a 30% price increase and a 6% tax applied to a $160 initial bill, is $208.32.

To calculate the total bill, we need to consider the price increase and the tax applied to the initial bill amount of $160.

First, we calculate the price increase by multiplying the initial bill amount by 30%:

Price increase = $160 * 30% = $48.

Adding the price increase to the initial bill amount, we get the new bill amount before tax:

New bill amount before tax = $160 + $48 = $208.

Next, we calculate the tax amount by multiplying the new bill amount before tax by 6%:

Tax amount = $208 * 6% = $12.48.

Finally, we add the tax amount to the new bill amount before tax to find the total bill:

Total bill = New bill amount before tax + Tax amount = $208 + $12.48 = $208.32.

Therefore, the total bill, after the price increase and tax, is $208.32.

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To find the coordinate vector of x = [-1, -3, -4] with respect to the basis b = {[1, 3, 4], [0, 1, -4], [0, 0, 1]} for R3, we need to express x as a linear combination of the basis vectors. The coordinate vector [x]b is given by [x]b = [-13, -3, -4].

The coordinate vector of a vector x with respect to a basis b represents the coefficients needed to express x as a linear combination of the basis vectors. In this case, we have the vector x = [-1, -3, -4] and the basis b = {[1, 3, 4], [0, 1, -4], [0, 0, 1]} for R3.

To find [x]b, we express x as a linear combination of the basis vectors:

x = (-1)[1, 3, 4] + (-3)[0, 1, -4] + (-4)[0, 0, 1]

= [-1, -3, -4] + [0, -3, 12] + [0, 0, -4]

= [-1 + 0 + 0, -3 - 3 + 0, -4 + 12 - 4]

= [-1, -6, 4]

Therefore, the coordinate vector [x]b of x with respect to the basis b is given by [x]b = [-1, -6, 4]. Each entry in the coordinate vector represents the coefficient of the corresponding basis vector in the linear combination that gives x.

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Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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Step by Step answer

Yes I believe that is correct

Answer:

1/5

Step-by-step explanation:

b and c = \(\sqrt{50}\)   because 10 x 5 = 50

therefore  the fraction is   √2/ √50

to simplify you need to simplify the √50 into a number of √2 as the top is √2

√50 = √25 x √2

= 5√2

√2/5√2 = 1/5   if you divide both top and bottom by √2

Answer:

then answer it

Step-by-step explanation:

Answer:

4.5 inches long by 2.5 inches wide

Step-by-step explanation:

If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.

Hope this helps :)

(Brainliest, please? I only need one more to level up)

Complete Question

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

\(250(1+\frac{0.018}{2})^{2t}\)

Use the given expression to complete the statements below.

The expression is the___(Product , Sum  , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum)  of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount \(=P(1+\frac{r}{k})^{tk}\)

Comparing with the given expression: \(250(1+\frac{0.018}{2})^{2t}\)

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

That have neither high-speed internet access nor a mobile computing device is 30%.

Venn diagrams are utilized in various fields including business, measurements, semantics, and so forth. Venn charts can be utilized to outwardly coordinate data to see the connection between sets of things, like shared characteristics and contrasts, and to portray the relations for visual correspondence.

In school, 60% of students have high-speed internet access, 30% have a mobile computing device, and 20% have both.

Venn diagram for the situation

Thus remaining 30% students hat have neither high-speed internet access nor a mobile computing device.

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Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

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Answer:

EG = 44

Step-by-step explanation:

EG, the whole thing, is 10x - 16. It says that at the top of the image. But also, under the segment, we can put together two small pieces, EF and FG. So, the whole thing could also be 4x + 20.

The two expressions both describe EG. They are equal to each other. Write an equation.

10x - 16 = 4x + 20

subtract 4x

6x - 16 = 20

add 16

6x = 36

divide by 6

x = 6

They are asking for EG. Use either expression.

EG = 4x + 20

= 4(6) + 20

= 24 + 20

= 44

or,

EG = 10x - 16

= 10(6) - 16

= 60 - 16

= 44

Actually, its a neat check to do both ways bc it should come out the same.

EG = 44

Answer:

Percent of water in the mixture=88%

Which is 81.07 square inches of the total volume

Step-by-step explanation:

Volume of the flask=πr^2h

π=3.142

radius=diameter/2

=3.71/2

=1.855

height=8.52 inches

Volume of the flask=πr^2h

=3.142*(1.855)^2*8.52

=3.142*3.441025*8.52

=92.115688686

Approximately 92.12 square inches

Flask contains 12% acid solution and the remaining volume is water

Percentage of water =Total percentage - acid solution percentage

=100%-12%

=88%

Percentage of Water =88%

Percentage of the mixture by volume is water=88% of the total volume

=88/100*92.12

=81.0656 square inches

Approximately 81.07 square inches

The level of significance in hypothesis testing is the probability of: c. rejecting a true null hypothesis. In hypothesis testing, the critical value is:
a. a number that establishes the boundary of the rejection region.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research. In statistics , a null hypothesis is a statement that one seeks to nullify with evidence to contrary most commonly it is a statement that the phenomenon being studied produces no effect on makes no difference.

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To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,

Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.

Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.

Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)

Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.

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They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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