Evalute 5x + 4y; if x = 3 and y = 2
O 54
O 22
ОО
95
23

Answer:

C. -i

Step-by-step explanation:

i^n is expondential. i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1.

Answer:

it is i

Step-by-step explanation:

The algebraic expressions, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) and \(5x + 3\) are equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

To determine whether each expression is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\), apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify \(2x + 4y - 5 + 3x + 8 - 4y\) as follows:

Add like terms

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3\)

Next, compare or simplify where necessary each of the given algebraic expressions with \(5x + 3\)

First Option

\(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\)

Add like terms together

\(2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3\)

Therefore, \(x + x + y + y + y + y - 5 + x + x + x + 8 - 4y\) is equivalent to \(2x + 4y - 5 + 3x + 8 - 4y\)

Second Option:

\(6xy + 3 - 4y\) (cannot be simplified further)

\(6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Third Option:

\(-8y + 5x - 3\) (cannot be simplified further)

\(-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y\)

Therefore:

Fourth Option:

\(5x + 3\)

\(5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y\)

Therefore:

Thus, the algebraic expressions that are equivalent to  \(2x + 4y - 5 + 3x + 8 - 4y\) are:

Learn more about algebraic expressions here:

https://brainly.com/question/15122459

Step-by-step explanation:

Question: 4x - 12 = 16 +8x

Answer: 4x-8x =16+12

-4x=28

x=-28/4

x=-7

D) -7 is your answer

hope this helps you

have a great day :)

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

The null and alternative hypotheses are as follows:

H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)

H a: p > 0.23 (proportion of men who own cats is larger than 23%)

The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.

Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.

To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.

Let's calculate the p-value:

p = 0.15 (proportion of men in the sample who own cats)

n = 40 (sample size)

p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)

Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.

Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.

Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

learn more about null hypothesis: https://brainly.com/question/4436370

#SPJ1

Answer:

99,117

Step-by-step explanation:

1) Use the partial sum method.

1 8 4 9 2

+ 8 0 6 2 5

9 0 0 0 0 (10000+80000)

8 0 0 0 (8000+0)

1 0 0 0 (400+600)

1 1 0 (90+20)

7 (2+5)

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

9 9 1 1 7

Answer:

99,117.  18,492 + 80,625 = 99,117

Answer:

\(3 \frac{11}{27} \\ \)

Step-by-step explanation:

\((2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ \)

Answer:

Step-by-step explanation:

Answer:

\( {x}^{2} + x - 6 \\ \)

Step-by-step explanation:

\((x + 3)(x - 2) \\ x(x - 2) + 3(x - 2) \\ {x}^{2} - 2x + 3x - 6 \\ {x}^{2} + x - 6 \\ \)

Answer:

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

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

1 perpendicular

Step-by-step explanation:

it's the only way for them to be equal

Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

We have to given that;

From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.

Now, We know that;

Number of ways to choose 1 boy in group of 5 boys,

⇒ ⁵C₁

And, Number of ways to choose 1 girl from group of 3 girls,

⇒ ³C₁

Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,

⇒ ⁵C₁ x ³C₁

⇒ 5! /1! 4! × 3! / 1! 2!

⇒ 5 × 3

⇒ 15

Thus,  Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

Learn more about the combination visit:

brainly.com/question/28065038

#SPJ1

1. My Russian is a bit rusty. I think you're asking to find the antiderivatives in the first part:

а) \(\displaystyle \int 2x^n - 5x \, dx = \boxed{\frac2{n+1} x^{n+1} - \frac52 x^2 + C}\)

This follows from the power rule for differentiation,

\(\dfrac d{dx} x^n = n x^{n-1}\)

I'm not sure what the power on the first term is, so I just use a general real number n. This solution is correct as long as n ≠ -1; otherwise we would have

\(\displaystyle \int 2x^{-1} - 5x = 2\ln|x| - \frac52 x^2 + C\)

б) Using the fact that

\(\dfrac d{dx} \sin(x) = \cos(x)\)

as well as the power rule from part (a),

\(\displaystyle \int 3 \cos(x) - x \, dx = \boxed{3 \sin(x) - \frac12 x^2 + C}\)

в) By the chain rule,

\(\dfrac d{dx} \sin(5x) = 5 \cos(5x)\)

\(\dfrac d{dx} \cos(3x) = -3 \sin(3x)\)

Hence

\(\displaystyle \int \cos(5x) - \frac16 \sin(3x) \, dx = \boxed{\frac15 \sin(5x) + \frac1{18} \cos(3x) + C}\)

2. These just look like standard definite integrals. Using the known derivatives mentioned in part (1) in conjunction with the fundamental theorem of calculus, we have

a)

\(\displaystyle \int_0^1 x^2 \, dx = \frac13 x^3 \bigg|_{x=0}^{x=1} = \frac13 (1^3 - 0^3) = \boxed{\frac13}\)

б)

\(\displaystyle \int_0^{\frac\pi2} \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=\frac\pi2} = -\left(\cos\left(\frac\pi2\right) - \cos(0)\right) = \boxed{1}\)

Answer:

Step-by-step explanation:

Actually, -13 can be classified as any and all of these.

Answer:-13 would be considered a rational number :)

Step-by-step explanation:

Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)

Given that each wall is 12 feet long, the perimeter would be: Perimeter = 4 x Length of one side, Perimeter = 4 x 12 feet and Perimeter = 48 feet.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length

The volume of the cardboard box can be calculated by multiplying its length, width, and height. Given that the length is 12 inches, the width is 10 inches, and the height is 4 inches, the volume would be:

Volume = Length x Width x Height

Volume = 12 inches x 10 inches x 4 inches

Volume = 480 cubic inches

So, the volume of the cardboard box is 480 cubic inches.

The length of edging required to go around a circular fountain can be calculated using the formula for circumference of a circle. The diameter of the fountain is given as 6 feet, which means the radius would be half of that, i.e., 3 feet. The circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 3 feet

Circumference = 18.84 feet

So, the length of edging required to go around the circular fountain would be 18.84 feet.

The amount of lace trim required for a circular tablecloth with a radius of 1 meter can be calculated using the formula for circumference of a circle. The radius of the tablecloth is given as 1 meter, and the circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 1 meter

Circumference = 6.28 meters

So, the amount of lace trim required for the circular tablecloth would be 6.28 meters.

The length of crown molding needed for a square room, where each wall is 12 feet, would be equal to the perimeter of the square room. The perimeter of a square is calculated by multiplying the length of one side by 4. Given that each wall is 12 feet long, the perimeter would be:

Perimeter = 4 x Length of one side

Perimeter = 4 x 12 feet

Perimeter = 48 feet.

To learn more about rectangle from the given link:

https://brainly.com/question/29123947

#SPJ1

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

Step-by-step explanation:

please give me brainlest and follow me

Answer:

mark me as brainliest please

1112

Step-by-step explanation:

1550-350=1200

1200-88=1112

Answer:

I think its 10

Step-by-step explanation:

the numbers go down by 10

Answer:

Step-by-step explanation:

A = 1  plus negatives out be minusing positive

B= -8 minus negatives  would be nega tive plus negatives

rules

If you love to love your a lover

if you hate to hate your a lover

if you love to have ur a hater

if you hate to love ur a hater

this all relates to positive and negative addition and subtraction

Answer:

4+(-3) = 1

-6-2= -8

Step-by-step explanation:

Same sign add

Different sign subtract

Keep the sign of the bigger number

The length of the third part of the rope is 4 feet.

Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length

Let's assume the length of the 1st part is "x".

Then the length of the second part is "2x". and the length of the third part is "\(\frac{x}{5}\)".

The total length of rope is 48 feet

⇒x+2x+\(\frac{x}{5}\)= 48 feet

⇒3x+\(\frac{x}{5}\)= 48 feet

⇒\(\frac{16x}{5}\)= 48 feet

⇒ x= 20 feet.

Therefore, The length of the third part of the rope is 4 feet.

Learn more about length here:

https://brainly.com/question/8552546

#SPJ9

(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

Learn more about sampling distribution: https://brainly.com/question/15713806

#SPJ4

By SAS congruence triangle MLN and triangle OLN are congruent.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, LM≅LO, ∠MLN≅∠OLN.

LM≅LO (Given)

∠MLN≅∠OLN (Given)

LN≅LN (Reflexive property of congruence)

ΔMLN≅ΔOLN (SAS congruence)

∠M≅∠O (CPTC)

MN≅ON (CPTC)

Therefore, by SAS congruence triangle MLN and triangle OLN are congruent.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

Answer:

12

Step-by-step explanation:

5+7=12

5 have 7-14

7 have 15-22

The final answer is 12

The given differential equation:

y''' − 2y'' + y' = 2 − 24ex + 40e5x,

y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2

Therefore, the next solution is 13/2

Differential Equation:

In mathematics, a differential equation is an equation relating one or more unknown functions to their derivatives. In applications, functions usually represent physical quantities, derivatives represent rates of change, and differential equations define the relationship between them. These relationships are common.

Now,

Given differential equation is

y''' - 2y'' +y' = 2- 24eˣ +40e⁵ˣ                 ------------ (1)

Auxiliary equation is m³ - 2m² +2m = 0

Now,

   m(m² - 2m +2) = 0

⇒ m(m-1)² = 0

Therefore, m = 0,1,1

Therefore,

\(y_{c} = c_{1}+ c_{2} e^{x} + c_{2}x e^{x}\)

Now, we have to find the particular solution by method of undetermined coefficient.

   \(y'_{y} = a + b(x^{2} e^{x} +2xe^{x} ) +5ce^{x}\)

⇒ \(y''_{p} = a + bx^{2} e^{x} +2bxe^{x} +5ce^{x}\)

⇒ \(y''_{p} = b(x^{2} e^{x} +2xe^{x}) + 2b(ex^{x}+ e^{x} +25ce^{x}\)

⇒ \(y'''_{p} = bx^{2} e^{x} +6bxe^{x} +6be^{x} +125ce^{5x}\)

Putting these values in differential equation (1), we get:

y'''(0) = 13/2

Complete Question:

Solve the given initial-value problem. y''' ? 2y'' + y' = 2 ? 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5/ 2 , y''(0) = ? 13/ 2

Learn more about Differential Equation:

https://brainly.com/question/16663279

#SPJ4

Answer: B

Step-by-step explanation: 6.629

                                                      ^

                                                 The Thousandth place