What does x=
What does x=

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

9.4

Step-by-step explanation:

An easy way to solve this is to subtract 5.6 from 15, which equals 9.4

Answer: it is -1, because y has no more complete prime factors

Step-by-step explanation:

Answer:

The 0 at the end of H(x) = 4x^2-8x-60

Step-by-step explanation:

Im not sure to be honest

Answer:

0

Step-by-step explanation:

It is 0 because if you graph it, there are no x-intercepts

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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Answer:

I think ans is 18 but i am not sure

Answer:

This involve bodmas..so bracket first..(8-4) is 4 so we will get 10+4*2/2

so multiplication next

10+8/2

10+4=14

Answer:

you will have $225 to spend on other things.

Step-by-step explanation:

1,500-750=750

750-165=585

585-220=365

365-140=225

Answer:

d. 169

Step-by-step explanation:

1/5 * ( 260) = 52

0.15 ( 260)=  39

out of 260 students 39 + 52 = 91 students chose a food / meal

the rest are 260 - 91 = 169 students chose a food other than the two

Rounding to the nearest whole number. The correct option is D) 216 m²; 244 m².

Since the prism has a rectangular base, we know that its lateral faces are all rectangles with heights equal to the height of the prism. Let's first find the lateral area of the prism using the formula:

Lateral Area = Perimeter of Base * Height

The perimeter of the base is the sum of the lengths of all four sides of the rectangle. Since there are two bases, we will add their perimeters together. The length and width of each base are 12 m and 7 m, respectively, so:

Perimeter of Base = 2 * (Length + Width) = 2 * (12 + 7) = 38 m

The height of the prism is given as 10 m, so:

Lateral Area = 38 * 10 = 380 m²

Next, we need to find the surface area of the prism. This consists of the lateral area we just found, plus the areas of the two bases. Each base has an area of 12 * 7 = 84 m², so:

Surface Area = 2 * Base Area + Lateral Area = 2 * 84 + 380 = 548 m²

Rounding to the nearest whole number, we get:

Lateral Area ≈ 380 m²

Surface Area ≈ 548 m²

Therefore, the answer is option D) 216 m²; 244 m².

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The inverse of any function is when you switch the position of the 'y' and 'x' variables, like such:

  \(x = \sqrt[3]{y+10} \\x^3=y+10\\y = x^3-10\\f^{-1} (x)=x^3-10\)

Hope that helps!

Answer:

a.

$20.85

Step-by-step explanation:

The amount of one cost in 1983, to the nearest cent is to be considered as the option a. $20.85.

Since

The CPI is currently 153.

And, there a coffee maker costs $31.90 today.

So the one cost should be like

\(= 31.90 \div 153\)

= 20.85%

Hence, The amount of one cost in 1983, to the nearest cent is to be considered as the option a. $20.85.

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The misleading about the data shown on the figure is the clas width

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

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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The probability of selecting a jack and a queen is 1/169.

Probability calculates the odds that an event would happen. The odds that the event would happen lies between 0 and 1.

The probability of selecting a jack and a queen = (number of jacks / number of cards in a deck) x (number of queens / number of cards in a deck)

4/52 x 4/52 = 1/169

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Answer:

Its actually IV

D

Answer:

pretty sure its A n B = {1,5}

Step-by-step explanation:

Answer:

(-8, -3)

Step-by-step explanation:

Answer:

the answer is $521.10 per hour

Step-by-step explanat

if you want the unrounded answer its  $521.103333

Answer:

15 and -5

Step-by-step explanation:

D=(-10)^2-4*30*1=100-120=-20

x1=(10+20):2=15

x2=(10-20):2=-5

Answer:

A) dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) S(t) = (100 + t) - 5000/(100 + t)

C) 35%

Step-by-step explanation:

A) Let;

t = time in minutes

S = amount of syrup

dS/dt = rate at which syrup is flowing through tank

We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.

Thus,

At t = 0

Amount of cola = 450 litres

Amount of syrup = 50 litres

Total mixture = 450 + 50 = 500 litres

We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.

Thus, amount of liquid in the tank at a time "t" is; 500 + 5t

We are told that cherry syrup is added at the rate of 2 liters per minute.

Thus, rate at which syrup is flowing through tank is given as;

dS/dt = 2 - 5[S/(500 + 5t)]

Factorizing out, we have;

dS/dt = 2 - 5[S/5(100 + t)]

5 will cancel out to give;

dS/dt = 2 - S/(100 + t)

Since we have 50 liters of cherry syrup initially, the initial value problem is;

dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) We have our initial value problem as;

dS/dt = 2 - S/(100 + t)

Rearranging, we have;

dS/dt + S/(100 + t) = 2

Multiplying through by 100 + t gives;

(dS/dt)•(100 + t) + S = 2(100 + t)

Integrating each term with respect to t gives;

(100 + t)S = (100 + t)² + c

Divide both sides by (100 + t) to get;

S = (100 + t) + c/(100 + t)

At t = 0;

S(0) = (100 + 0) + c/(100 + 0)

S(0) = 100 + c/100

Recall earlier in our initial value problem where we stated that S(0) = 50.

Thus;

100 + c/100 = 50

Subtract 100 from both sides to givw;

c/100 = 50 - 100

c/100 = -50

c = -50 × 100

c = -5000

Thus;

S(t) = (100 + t) - 5000/(100 + t)

C) The capacity of the tank is given as 1000 liters.

Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t

Thus;

500 + 5t = 1000

5t = 1000 - 500

5t = 500

t = 500/5

t = 100 minutes

We want to find What percentage of the mixture is cherry syrup when the tank is full.

Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)

Thus;

S(100) = (100 + 100) - 5000/(100 + 100)

S(100) = 200 - 25

S(100) = 175 litres

We saw earlier that total mixture initially was 500 litres.

Thus, percentage of the mixture that is cherry syrup when the tank is full is;

175/500 × 100% = 35%

At least 3 decimal places, the probability that a person who tests positive actually has the disease is approximately 0.002482.

Bayes' relates the conditional probabilities of two events A and B as follows:

P(A | B) = P(B | A) × P(A) / P(B)

P(A) is the prior probability of A, P(B | A) is the conditional probability of B given A, P(B) is the marginal probability of B and P(A | B) is the conditional probability of A given B.

Let's define the following events:

D: the person has the disease

T: the person tests positive

We are interested in finding P(D | T) the probability that a person who tests positive actually has the disease.

We are given that:

P(D) = 0.009 (the incidence rate of the disease)

P(T | D') = 0.03 (the false positive rate, i.e., the probability of testing positive given that the person does not have the disease)

P(T' | D) = 0.06 (the false negative rate, i.e., the probability of testing negative given that the person has the disease)

We can compute the marginal probability of testing positive as follows:

P(T) = P(T | D) × P(D) + P(T | D') × P(D')

= (1 - P(T' | D)) × P(D) + P(T | D') × (1 - P(D))

Plugging in the given values, we get:

P(T) = (1 - 0.06) × 0.009 + 0.03 × (1 - 0.009)

≈ 0.0325

Now we can use Bayes' to compute P(D | T):

P(D | T) = P(T | D) × P(D) / P(T)

Plugging in the given values and the computed value of P(T), we get:

P(D | T) = (1 - P(T' | D)) × P(D) / P(T)

≈ (1 - 0.06) × 0.009 / 0.0325

≈ 0.002482

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Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

Since the p-value is greater than the significance level, the correct option is:

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

At the null hypothesis, it is tested if the proportion is still of 0.87, that is:

\(H_0: p = 0.87\)

At the alternative hypothesis, it is tested if it has decreased, that is:

\(H_1: p < 0.87\)

Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.

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The height of the ball at a horizontal distance of R meters from Kaori is H(R)=4H.

Kaori taking a free throw is a guarantee. H(d) simulates the basketball's height (in meters) at d meters of horizontal separation from Kaori.

It is said that H(R) = 4H.

In this case, H(R) displays the height of a basketball instead of H(d). Therefore, it is evident that a basketball's height is 4H since H(R)=4H at d = R.

The horizontal distance from Kaori is R because d is the horizontal distance from Kaori.

Thus the height of the ball is 4H meters at a horizontal distance of R meters from Kaori, according to the expression H(R)=4H.

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This a distributive property

Given

7(a + b + c) = 7(a + b) + 7c

This a distributive property, as it distributes 7 into 7(a + b) and 7c

Answer:

Females = 17 and males = 23

Step-by-step explanation:

Given that,

Total no of students in the class = 40

Let no. of females = x

No. of males = 6+x

ATQ,

Total students = males + females

40 = x+6+x

40-6 = 2x

34 = 2x

x = 17

Hence, there are 17 females and (6+17= 23) males.