What are the measures of angle A,B,C and D?

Let's arrange the steps for solving the expression using the order of operations (also known as PEMDAS/BODMAS):

Subtract: (42-13) = 29

Multiply: 4 × 3 = 12

Exponentiation: 5² = 25

Multiply: 8 × 3 = 24

Divide: 24 ÷ 29 (result from step 1) = 0.8276 (rounded to 4 decimal places)

Add: 0.8276 (result from step 5) + 25 (result from step 3) = 25.8276 (rounded to 4 decimal places)

Add: 25.8276 (result from step 6) + 12 (result from step 2) = 37.8276 (rounded to 4 decimal places)

The steps should be performed in the following order:

Subtract -> Multiply -> Exponentiation -> Multiply -> Divide -> Add -> Add

So the steps should be performed in this order to evaluate the expression correctly.

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There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Answer:

x = 27

Step-by-step explanation:

similar triangles

26/18 = 39/x

      x = 39(18/26)

      x = 27

could also use

39/x = (39 + 26) / (x + 18)

to get to the same result

39(x + 18) = x(39 + 26)

39x + 702 = 39x + 26x

         702 = 26x

              x = 27

or

18/x = 26/39

    x = 18(39/26)

    x = 27

The value of LO if RU is 6 inches is solved to be 30 inches

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure when LM is 45 inches, and RS is 9 inches

the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5

9 * 5 = 45

when RU = 6 inches

6 * 5 = 30 inches

hence LO is 30 inches

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Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)

Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)

Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)

Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)

E and M are shown as congruent. This could be an Isosceles Triangle, so let's check. In an isosceles triangle, there are two congruent angles adjacent to the non-congruent side, and two congruent sides to the non-congruent angle. This angle is the apex. The apex of this triangle is adjacent to two congruent sides, however it is congruent to angle M, and thus this cannot be an isosceles triangle. That means this is an equilateral triangle, so all sides are congruent. So: LM = 16

Answer:

3602 people in 15 years

Step-by-step explanation:

2000 ( 1 + .04)^n         .04 is 4%    n = years

2000 ( 1.04)^15 = 3602 people

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

After solving the expression we get the answer as the equation does not have a solution.

Given, we have:

(x+10)²-7=5

Open the brackets.

⇒ (x²+20x+100)-7=5

⇒ x²+20x+100-7=5

Calculate the difference.

⇒ x²+20x+93=5

Arrange the like terms:

⇒ x²+20x+93-5=0

⇒ x²+20x+88=0

Factorize the a²ove expression.

⇒ x²+20x+88

can't be factorize, as it does not have factors to reduce the expression.

Hence the expression does not have a solution.

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Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

The square of a binomial is (p – r)². Then the correct option is D.

The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.

Let's check the option D, we have

⇒ p² – 2pr + r²

We know that the formula a² – 2ab + b² = (a – b)², then we have

⇒ p² – 2pr + r²

⇒ (p – r)²

Then the correct option is D.

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Answer:

y=2x+6

Step-by-step explanation:

Answer:

1 of 9

Step-by-step explanation:

hope it helps

Answer:

y ≤ 6

y ≥ -x + 2

y > x + 4

Step-by-step explanation:

The solid line means ≤ or ≥

The dashed line means < or >

y ≤ 6

y ≥ -x + 2

y > x + 4

Answer:

I'm sorry if i'm wrong but i think Its 6.

Step-by-step explanation:

Answer:

42 I believe

Step-by-step explanation:

They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42

But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

\(Speed = \frac{Distance}{Time}\)

So,

\(\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3\)

So,

Time taken by Tom = 3 hour

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Answer:

$544.73

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: \(\displaystyle A = P(1 + r)^t\)

Step-by-step explanation:

Step 1: Define

A = 960

r = 0.12

t = 5

Step 2: Solve for P

Answer:

To compare the amount of money that Patrick and Brooklyn would have after 2 years, we need to calculate the interest earned using each of their methods.

For Patrick, who deposited $300 with an interest rate of 3% compounded quarterly, the formula to calculate the amount after 2 years (8 quarters) is:

A = P(1 + r/n)^(nt)

Where:

P = principal amount ($300)

r = interest rate (3%)

n = number of times compounded per year (4)

t = time in years (2)

Substituting the values into the formula:

A = $300(1 + 0.03/4)^(4 * 2)

A = $300(1.0075)^8

A = $300 * 1.06173

A = $318.52

For Brooklyn, who deposited $300 with an interest rate of 5% compounded monthly, the formula to calculate the amount after 2 years (24 months) is:

A = P(1 + r/n)^(nt)

Where:

P = principal amount ($300)

r = interest rate (5%)

n = number of times compounded per year (12)

t = time in years (2)

Substituting the values into the formula:

A = $300(1 + 0.05/12)^(12 * 2)

A = $300(1.00417)^24

A = $300 * 1.09722

A = $328.17

Therefore, after 2 years, Brooklyn would have $328.17, which is more money than Patrick's $318.52.

The model predicts the population to be 671,520 in 14 years

An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.

Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.

Population, P(t) = 480,000\(e^{-0.024t}\),

when t = 14

substitute t = 14 into the equation,

Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520

In conclusion, the Population of the model after 14 years is 671,520

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The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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Answer:

$6500

Step-by-step explanation:

First you find 3% of 5,000. You get 150. Then you would multiply 150 by 10 since it was in the bank for 10 years. You get 1500. Then you add 5000 and 1500 to get 6500.

Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and  is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)

y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57

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

Answer:

So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57

Answer:

A U B' will be {f} i think so

Answer:

The power expression 1 / 5⁸ is the simplified form by algebra properties of (5⁻⁴)².

In this problem we find a power expression that must simplified by means of algebra properties. First, write the entire expression introduced in the statement:

(5⁻⁴)²

Second, use the property for the power of a power:

5⁻⁸

Third, use the property for the power of a power once again:

(5⁸)⁻¹

Fourth, apply the definition of a division:

1 / 5⁸

The simplified form of (5⁻⁴)² is equal to 1 / 5⁸.

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Answer:

\(P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616[/

\(\mu =np= 60*0.4= 24\)

\(\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79\)

And using the normal approximation we have:

\( P(19.5 < X< 20.5)\)

And we can use the z score formula and we got:

\( z=\frac{19.5-24}{3.79}= -1.19\)

\( z=\frac{20.5-24}{3.79}= -0.92\)

And using the normal standard distribution table we got:

\( P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062\)

So we see that the results are very similar

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

\(X \sim Binom(n=60, p=0.4)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

And we want to find this probability:

\( P(X=20)\)

And we can find the probability using the probability mass function

\(P(X=20)=(60C20)(0.4)^{20} (1-0.4)^{60-20}=0.0616\)

Using the normal approximation we need to find the mean and the deviation:

\(\mu =np= 60*0.4= 24\)

\(\sigma =\sqrt{60*0.4*(1-0.4)}= 3.79\)

And using the normal approximation we have:

\( P(19.5 < X< 20.5)\)

And we can use the z score formula and we got:

\( z=\frac{19.5-24}{3.79}= -1.19\)

\( z=\frac{20.5-24}{3.79}= -0.92\)

And using the normal standard distribution table we got:

\( P(-1.19<z<-0.92) =P(z<-0.92) -P(z<-1.19) =0.179-0.117= 0.062\)

So we see that the results are very similar

Answer:

i have ans above. please try again yourself.