Which of the following is correct based on this picture?
A. tan D=31/24
B. sin D=31/24
C. tan K=31/24
D. cos K=31/24

Answer:  0.50, which is choice b

Explanation:

The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

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Answer:

[tex]LCM = 21[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{5}y + \frac{1}{7}= \frac{1}{3}y -\frac{2}{3}[/tex]

Required

LCM of the constant terms

Collect like terms

[tex]\frac{1}{3}y+\frac{3}{5}y = \frac{1}{7}+\frac{2}{3}[/tex]

The constant terms are on the right-hand side

To combine them, we simply take the LCM of the denominator, i.e. 7 and 3

The prime factorization of 3 and 7 are:

[tex]3 = 3[/tex]

[tex]7 = 7[/tex]

So:

[tex]LCM = 3 * 7[/tex]

[tex]LCM = 21[/tex]

Answer:

C 4,12,36 108

Step-by-step explanation:

the answer is above.

Answer:

C

Step-by-step explanation:

G.P= a,ar,ar^2,ar^3,...,

a1=4

a2=4×3=12

a3=4×9=36

a4=4×27=108

Discounted price = $60

Discount = 60%

Let the usual price be x.

So, x - (60% of x) = $60

=> x - [(60/100) × x] = $60

=> x - (60x/100) = $60

=> x - (3x/5) = $60

=> (5x/5) - (3x/5) = $60

=> 2x/5 = $60

=> 2x = $60 × 5

=> 2x = $300

=> x = $300/2

=> x = $150

So, the usual price is $150.

Answer: (760 - 676. 40) × 100 ÷ 760 = 11%

Step-by-step explanation:

Answer:

11% decrease

Step-by-step explanation:

Concepts:

Solving:

Let's find the percent change by using the formula.

1. Formula for Percent Change

2. Plug in the values of NV and OV

3. Simplify

Therefore, our percent decrease is 11% decrease.

Answer:

24.5

Step-by-step explanation:

using Pythagorean theorem

[tex]a^{2} +b^{2} =c^{2} \\[/tex]

Since we know the hypotenuse, we can change up the theorem into [tex]c^{2} -b^{2} =a^{2}[/tex]

[tex]35^{2} -25^{2} =a^{2}[/tex]

1225-625=[tex]a^{2}[/tex]

[tex]\sqrt{a^{2} } =24.5[/tex]

9514 1404 393

Answer:

  $122,040

Step-by-step explanation:

The interest is the difference between the mortgage value and the total amount paid.

  ($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040

$122,040 will be paid in interest.

Answer:

see below

Step-by-step explanation:

We know that distance = rate * time

100 meters = 8 m/s * time

100 = 8t

Divide each side by 8

100/8 = 8t/8

12.5 = t

If we know the rate and the time, we can find the distance

d = rt

Answer:

Disjoint is the correct answer.

Answer:

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Given the data :

Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8

Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1

This is a grouped data: The mean of a grouped data is given as :

Mean (xbar) = ΣFx / ΣF

ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99

ΣF = (1+5+1+4+4+1+5+1) = 22

Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5

Answer:

Step-by-step explanation:

Answer:

The manufacturer should advertise 11720 pages.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 12450, standard deviation of 570:

This means that [tex]\mu = 12450, \sigma = 570[/tex]

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?

They should advertise the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 12450}{570}[/tex]

[tex]X - 12450 = -1.28*570[/tex]

[tex]X = 11720[/tex]

The manufacturer should advertise 11720 pages.

Answer:

60 is the larger number

Step-by-step explanation:

Let the two numbers be a and y

x+y = 90

x-y = 30

Add the two equations together

x+y = 90

x-y = 30

-----------------

2x = 120

Divide by 2

2x/2 =120/2

x = 60

x+y =90

60+y = 90

y = 90-60

y = 30

The numbers are 60 and 30

Answer:

graph a is the correct answer

Step-by-step explanation:

Step-by-step explanation:

7x < 10+2

7x<12

x < 12/7

Hope this helps!

Answer:

OAmalOHopeO

Answer:

Poisson, as we have the mean number and not a proportion.

Step-by-step explanation:

We have the mean number of vehicle deaths per year, thus, since it is a mean and not a proportion, we use the Poisson distribution.

If we were working with the proportion of accidents that end in death for example, or any other proportion, it would be a binomial random variable.

Answer:

(-5, -9)

Step-by-step explanation:

From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y  = -9. Therefore the required coordinate could be (-5, -9)

Answer:

[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]

Answer:

d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer

The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3(2x -1/3y)=0.

Now, 6x-1/y=0

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Here, coefficient of y is 1.

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

[tex]P = 24k-6m[/tex]

Step-by-step explanation:

The correct expressions are:

[tex]W = 7k - 2m[/tex]

[tex]L = 5k - m[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 *(L + W)[/tex]

So, we have:

[tex]P = 2 *(5k - m + 7k -2m)[/tex]

Collect like terms

[tex]P = 2 *(5k + 7k- m -2m)[/tex]

[tex]P = 2 *(12k-3m)[/tex]

Open bracket

[tex]P = 24k-6m[/tex]

Answer:

f(3) = g(3)

General Formulas and Concepts:

Algebra I

Functions

Step-by-step explanation:

We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.

Rewriting this in terms of function notation:

f(3) = 6, g(3) = 6

∴ f(3) = g(3)

Answer: (a)

Step-by-step explanation:

Given

There are 5 squads for an athletic scrimmages

If each team played 2 matches

Total no of matches will be

[tex]\Rightarrow \dfrac{5(5-1)}{2}\times 2=20\ \text{matches}[/tex]

So, 20 matches are played in 2 hours

Each match takes

[tex]\Rightarrow \dfrac{120}{20}=6\ \text{minute}[/tex]

Option (a) is correct.

Answer:

14x + 26

Step-by-step explanation:

JL = JK + KL

= 8x + 6 + 6x + 20

= 8x + 6x + 6 + 20

JL = 14x + 26

Answer:

[tex]P=\$276646.153[/tex]

Step-by-step explanation:

Time [tex]T=30years[/tex]

Rate [tex]r=0.325\%[/tex]

Payment per month [tex]P=\$ 900[/tex]

Generally the equation for Principle  is mathematically given by

[tex]M=\frac{P r}{1-(1+r)^{-n}}[/tex]

[tex]900=\frac{P \frac{0.325}{100}}{1-(1+( \frac{0.325}{100}))^{- 30*12}}[/tex]

[tex]P=\frac{900*100*0.99}{0.325}[/tex]

[tex]P=\$276646.153[/tex]

Answer:

1/11

Step-by-step explanation:

We are asked to find the natural log of

[tex] \sqrt[11]{e} [/tex]

Convert to fractional exponent

[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]

Apply Log of Power rule

[tex] \frac{1}{11} ln(e) [/tex]

Natural log of e is 1 so

[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

First, remember that the ln function is just a log function with a base of e. Here's how it looks

[tex]ln(x) =log_{e}(x)[/tex]

[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]

We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!

[tex]log_{e}(e^{\frac{1}{11} } )[/tex]

Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.

[tex]e^{x} = e^{\frac{1}{11} }[/tex]

Well x has to be 1/11 in that case. And that ends up being our final answer.

[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]