**Answer:**

option C

**Step-by-step explanation:**

x + 5 ≤ 13

x + 5 - 5 ≤ 13 - 5

**x ****=**** ****≤**** ****8**

**Answer:**

x ≤ 8

**Step-by-step explanation:**

Move all terms not containing **x
** to the right side of the inequality. Then solve for **x**. :)

what is a measurement for the angle pictured

73° hope this helps

8. Lara invested a total of $1000 in two simple interest accounts. Account A pays

5% annual interest while Account B, pays 6% annual interest. The total interest

she earned after one year was $58. How much did she invest in each account?

**Answer:**

**Step-by-step explanation:**

Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...

0.05(1000-x) +0.06x = 58

50 +0.01x = 58 . . . . . . . . . . . simplify

0.01x = 8 . . . . . . . . . . . . . . . subtract 50

x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%

(1000-x) = 200 . . . . . . . find the amount invested at 5%

**Lara invested $200 at 5% and $800 at 6%**.

Hey, I just have one question, what is 8y −5 < 3?

**Answer:**

y < 1

**Step-by-step explanation:**

In order to solve this inequality, we must isolate the y variable.

First add 5 on both sides of the inequality sign:

Now you have 8y < 8.

Then divide by 8 on both sides, to get y alone:

Now you have y < 1.

Hope this helps you :)

Find the x-intercepts.

y =

2x2 + 5x + 2/

x2 - 4x + 3

**Answer:**

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

**Step-by-step explanation:**

[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]

[tex]0=(2x+1)(x+2)[/tex]

[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

What is correct answer For this problem

The table shows how the length of a fish changes over time.

Which equation represents the relationship between x, the time in years, and y, the length in centimeters?

Question options:

x = 4.5y

x = 9y

y = 4.5x

y = 9x

**Answer:**

C. y=4.5x

**Step-by-step explanation:**

divide y by x

Match the expression to the method needed to evaluate (will give brainlest)

Answer:

See image

Step-by-step explanation:

This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.

So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.

The Add exponents rule and Subtract are 100% correct.

The **expressions **are matched to the method needed to evaluate as shown below.

Expressions are **mathematical statements** which consist of two or more terms and terms are connected to each other using mathematical operators like addition, **multiplication**, subtraction and so on.

The first **expression **is 5³ × 5³.

**Multiplication rule **of exponents states that,

xᵃ × xᵇ = xᵃ⁺ᵇ

That is we **add **the exponents.

So, 5³ × 5³ = 5³⁺³ = 5⁶

The next expression is (7²)³.

We have the **rule**, (xᵃ)ᵇ = xᵃᵇ

So, here, **multiply **the exponents.

(7²)³ = 7⁶

(4x³)⁵

We can write it as,

(4x³)⁵ = 4⁵ . (x³)⁵

That is write is as **product **of the powers.

**Division rule** of exponents states that,

xᵃ / xᵇ = xᵃ⁻ᵇ

6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴

So, **subtract **the exponents.

Hence the expressions are matched.

Learn more about **Exponents **here :

https://brainly.com/question/5497425

#SPJ2

Pls help I’m failing I’ll brainlest and add extra points ASAP help with both

9) +1/6 if it’s not fractions tell me

**Answer:**

The slope of the one of the top is -1/4

The slope of the one on the bottom is 1/6

**Step-by-step explanation:**

The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.

The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.

Help w exponential functions pls

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

What is the equation of the line?

Y= 1/2x + 2

Y= 2x + 2

Y= 2x - 4

Y = 1/2x - 4

**Answer:**

y=1/2x+2

**Step-by-step explanation:**

-3, 9, -27, 81 find the next term

Answer: The next term is -243.

**Answer:**

-243

**Step-by-step explanation:**

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

Help me out Ik you love Algebra as much as I do

**Answer:**

pop

yes no total

country yes 11 38 49

no 43 8 51

total 54 46 100

Hope you understand this haha

The answer is in the file. Hope it helps.

3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.

The **standard deviation** of the **grade points** average** **of the **college seniors** is** 0.57.**

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The **sum **of the given **data **is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 + 2.4 + 2.8 + 2.9 + 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The **mean **of the **distribution **is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The **square **of the **difference **between the **grade point** and the **mean**;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The** standard deviation** of the **grade points** is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the **standard deviation** of the **grade points** average** **of the **college seniors** is** 0.57.**

Learn more about **standard deviation **here**: **https://brainly.com/question/12402189

Name:

Unit 4: Congruent Triangles

Date:

Per: :

Homework 1: Classifying Triangles

H

** This is a 2-page document!

Directions: Classify each triangle by its angles and sides.

1.

2.

73

15.6 m

73°

349

14,4 m

6 m

3.

7 in

123

4.

3 mm

10 in

15 in

3 mm

3 mm

5.

6.

34 m

34 m

2011

72

17

177

489

48 m

60

22 it

7.

8.

600

20

24 in

604

15 in

106

15 in

O

16.

**Step-by-step explanation:**

is it like this ? no diagrams ?

Help find the value X

**Answer:**

x=61

**Step-by-step explanation:**

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Ok done. Thank to me :>

The point (5, -3) is a solution to which system?

A.

y = x - 8

2x + y = 7

B.

y = x + 5

y = x - 3

C.

y = x - 5

y = x + 3

D.

y = x - 8

-2x + y = 7

**Answer:**

A

**Step-by-step explanation:**

Did the test

HELP ME PLS

Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.

Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)

Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)

**Answer:**

i think its 1/2

**Step-by-step explanation:**

**Answer:**

A. 1/2

1 over 2 is equal to 1/2

B. 1/2 Batch

The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.

Consider a group of 800 newborn babies:

1. How many would you expect to weigh between 3 and 8 pounds?

2. How many would you expect to weigh less than 6 pounds?

3. How many would you expect to weigh more than 5 pounds?

4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about **705** babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around **498** will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around **498** in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around **388** will weigh between 5.5 and 9 pounds.

Subtract 95 800 by 28 766 ?

please please please help!!

**Answer: 95,800 - 28,766 = 67,034**

**Step-by-step explanation: hope this helps :)**

I think it’s 67,034

let x represent the larger number4x+(x-2)^2=16

I have no clue I just need the points have a good day tho :)

A club has members from three grades.

It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.

What is the ratio of the club's seventh graders to eighth graders?

the ratio is 24:30

or the simplified version is 4:5

The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species congruent to a D proof triangle ABC is congruent to triangle CDA which roles are incorrect and explain

A. AC≅AC, Reflexive Property of Congruence

Correct. This is shared side of the triangles ABC and CDA

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

Correct. BC and AD are parallel and AC is transversal

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

Correct. AB and DC are parallel and AC is transversal

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.

Answer:

The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct

Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.

Last one is correct, it's SSA

Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?

**Answer:**

3 liters

**Step-by-step explanation:**

Create your own example for each cases of multiplying

polynomials With complete solution

Case 1: Distributive Property

Case 2: FOIL Method

Case 3: Binomial to Polynomial

Pls needed badly

If you have nothing to answer dont answer

Foil method the binomial to polynomial

mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them

Answer:

Step-by-step explanation:

Sorry no one answered your question sooner. First Let x = what the daughter receives

Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.

For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?

**Answer:**

B is empty

**Step-by-step explanation:**

Find the value of x given that the area of the triangle is 8 ft2.

(x + 1) ft

(3x - 7) ft

**Answer:**

**Step-by-step explanation:**

Yu11 - Sheffield-ggGgggpossssss

f(x) = x2. What is g(x)?

**Answer:**

the answer is A. g(x) = -x^2 - 4

**Step-by-step explanation:**

hope this helps! :)

Simplify.

4x + 2(x + 5) + 1

A) 6x + 6

B) 4x + 8

C) 6x + 11

D) 5x + 8

**Answer:**

C is your answer for your question

which of the following points does not lie on the graph of y=1/2x+3?

A. (10,8)

B. (-2,2)

c. ( 0,3)

d. (-6,-3)

**Answer:**

B

**Step-by-step explanation:**

The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?

**Answer:**

49 feet

**Step-by-step explanation:**

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

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