PLEASE HELP WITH ALL PARTS ILL GIVE 80 POINTS ABC is graphed below.
22 Part A
What are the midpoints of AB and BC? Enter your answers as ordered
23. Part B
What is the length of AC? Provide your answer as a radical.
What is the slope of AC?
25, Part D
Darlene claims that the line segment connecting the midpoint
and is half the length of AC. Explain whether Darlene is correct or not

If Erin were to lay the index cards in one long row, the row would be 35 inches long.

What is Multiplication?

Multiplication is an arithmetic operation that is used to find the result of combining equal groups of a given quantity. It involves repetitive addition of equal groups, where one factor represents the number of groups, and the other factor represents the number of items in each group.

Solution:

If Erin has 10 index cards, and each index card is 3 ½ inches long, then the total length of the row would be:

10 cards x 3 ½ inches per card = 35 inches

Therefore, if Erin were to lay the index cards in one long row, the row would be 35 inches long.

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The equation (p+1)x² + (2p+3)x+ (p+2)=0 has real roots for all real values of p at x = -1, -2

A polynomial equation is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.

Given that:

(p+1)x² + (2p+3)x + (p+2) = 0

Open brackets;

px² + x² + 2px + 3x + p + 2 = 0

Move all terms not containing p to the right side of the equation.

px² +  2px + p = −x² − 3x − 2

Factor p out of px² + 2px + p.

p(x² + 2x + 1) = −x² − 3x − 2

Factor using the perfect square rule.

p(x+1)² = −x² − 3x − 2

Divide each term in p( x + 1 )² = −x² − 3x − 2 by (x + 1)² and simplify.

[tex]p= - \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}[/tex]

Set [tex]p= - \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}[/tex] to be equal to zero;

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

Solve for x;

-x² - 3x - 2 = 0

Factor the left side of the equation.

-(x + 1) (x + 2) = 0

x = -1

x = -2

The final solution is all the values that make -(x + 1) (x + 2) = 0 true

x = -1, - 2

Exclude the solutions that do not make  [tex]- \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}=0[/tex] true.

Therefore, x  = -2

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A circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent.

What is the division?

Division is an arithmetic operation that is the inverse of multiplication. It involves splitting a quantity into equal parts or determining how many times one quantity is contained within another.

If you add all of the numbers together you get 500, but you need to make it 100 percent so you divide the total number by five. to know what percent out of 100 you need to divide all of the variables by 5.

85 ÷ 5 = 17

240 ÷ 5 = 48

125 ÷ 5 = 25

50 ÷ 5 = 10

Hence, A circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent.

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Answer:

BBBBBBBBB

Step-by-step explanation:

If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.

I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y

My numerator of fraction = x

Now, according to problem, sum of my numerator and my denominator is 30.

=> x + y = 30 --(1)

Also, difference between my denominator and my numerator is 6.

=> y - x = 6 or -y + x = 6 --(2)

Add eqution(1) and (2)

=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6

=> 2y = 36 or 2x = 36

=> y = 36/2 or x = 36/2

=> y = 18 or x = 18

Now, when y = 18 => x = 30 - 18 = 12

similarly, x = 18 , => y = 12

so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12

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Complete question :

I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?

Answer:

The answer is provided in the image below.

Answer:

285.76 kilograms       1.1 cubic yard

Step-by-step explanation:

Answer:

1.11121 cubic yards.

Step-by-step explanation:

First, let's convert the weight of 1 bag of garden soil from pounds to kilograms:

1 lb = 0.45359237 kg

42 lbs = 42 * 0.45359237 kg = 19.05 kg

So, the weight of 1 bag of garden soil is 19.05 kilograms.

Next, let's find the weight of 15 bags of garden soil:

15 bags * 19.05 kg/bag = 285.75 kg

So, 15 bags of garden soil weigh 285.75 kilograms.

Next, let's find the volume of 15 bags of garden soil in cubic yards:

1 cubic foot = 0.037037 cubic yards

2 cubic feet * 15 bags = 30 cubic feet

30 cubic feet = 30 * 0.037037 cubic yards = 1.11121 cubic yards

So, 15 bags of garden soil have a volume of 1.11121 cubic yards.

Unfortunately, a lot of software apps tend to use up battery life even if you aren't currently using the phone. This leads to the phone feeling more sluggish over time. To help combat this, it's helpful to clear out any unused apps and clear up the cache.

Even if software was perfectly written the most efficiently, and apps weren't intrusive, the physical nature of the battery itself has limitations. The capacity of the battery will slowly decay each time you charge or use your phone. Even just sitting idle it slowly loses capacity. This loss is very small that it's hard to detect. But add it up over time and the losses will get more noticeable. This is why you cannot simply charge a battery an infinite number of times. As with all things in life, there's a limit.

Summary: Yes the capacity will go down but ever so slightly. It depends how often the updates are done and what software is being updated. Ideally the updated software should be more efficient with the battery life. However, life isn't perfect and there will likely be flaws.

Therefore, the area of the triangle ABC is approximately 18096.3 square units.

What is the area of the triangle?

To calculate the area of a triangle, use the formula area = 1/2 * base * height.

We can use Heron's formula to find the area of the triangle ABC when the lengths of its three sides are known:

[tex]Area = {\sqrt{(s(s-a)(s-b)(s-c))}[/tex]

where "s" is the semiperimeter of the triangle, which is half the sum of the lengths of its three sides:

s = (a + b + c)/2

In this case, we have:

a = AB = 154

b = BC = 346

c = AC = 349

So the semiperimeter is:

s = (a + b + c)/2 = (154 + 346 + 349)/2 = 424.5

Now we can use Heron's formula to find the area of the triangle

[tex]Area = \sqrt{(s(s-a)(s-b)(s-c))}\\\\Area = \sqrt{(424.5(424.5-154)(424.5-346)(424.5-349))}\\\\Area= 18096.3[/tex]

Therefore, the area of the triangle ABC is approximately 18096.3 square units.

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Answer:do homework

Step-by-step explanation:

-17, -15 and -13 are the three consecutive odd integers.

Linear equation are equation that has a leading degree of 1

Let the smallest integer is '2x - 1'

The next two integers are 2x + 1 and 2x + 3

If the sum of three consecutive odd integers is 19 less than twice the smallest of the three integers, hence;

2x  - 1 + 2x + 1 + 2x + 3 = 2(2x-1) - 19

6x + 3 = 4x - 21

6x - 4x = -21 -3

3x = -24

x = -8

First number = 2(-8) - 1 = -17

Second number = 2(-8) + 1 = -15

Third number = 2(-8) + 3 = -13

Hence the 3 consecutive odd integers are -17, -15 and -13.

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Complete question

The sum of 3 consecutive odd integers is 19 less than twice the smallest of integers , what are the integers?

The constant of proportionality for the given graph is 6.

The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality or proportionality constant.

From the given graph the point is (5,30) from which the line is passing.

The equation for the constant of proportionality is written as below,

y = kx

Substitute the points in the above equation,

y = kx

30 = k x 5

k = 30 / 5

k = 6

Therefore, the proportionality constant for the displayed graph is 6.

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Answer:

350

Step-by-step explanation:

∑ (xy) means the sum of the products of x and y , that is

∑ (xy)

= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)

= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40

= 350

The simplified expression is cos(x) of trigonometric expression  (sin (30° + x)+sin (30° - x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can simplify this expression using the sum-to-product formula for sine:

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Let's use this formula by setting a = 30° and b = x:

sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)

We know that sin(30°) = 1/2, so we can substitute:

sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)

sin(30° + x) + sin(30° - x) = cos(x)

Therefore, the simplified expression is cos(x).

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The percent tax you paid when you bought the bike is approximately 8.493%.

What is percentage ?

Percentage can be defined as the product of ratio of given value, total value and hundred.

given ,

You paid $29.75 in tax when you bought a $350 bike

To find the percent tax, we can divide the amount of tax by the total cost (including tax) and multiply by 100 to express the result as a percentage.

tax = 29.75

total = 350

percent tax = (tax / total) * 100

So the percent tax would be

percent tax = (29.75 / 350) * 100

= 8.493%

Therefore, The percent tax you paid when you bought the bike is approximately 8.493%.

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The "value of x" in algebraic expression represented as "3x + 2 = 8" , in decimal form is 2.0   .

We have to solve the algebraic  expression "3x + 2 = 8" for value of x, we first need to separate the "variable x" on one side of the equation.

So , we subtract "2" from both sides of expression  ,

we get ;

⇒ 3x + 2 - 2 = 8 - 2  ;

Simplifying the left hand side, we get:

⇒ 3x = 6 ;

To solve for the variable x, we on divide both sides by 3 ;

⇒ 3x/3 = 6/3  ;

Simplifying, we get:

⇒ x = 6/3 = 2 .

Therefore, the value of x in the algebraic expression "3x + 2 = 8" is 2 , which is 2.0 when expressed as a decimal.

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The given question is incomplete , the complete question is

What is the value of x in the algebraic expression "3x + 2 = 8" ? Enter your answer, as a decimal . Do not round your answer.

Answer:

Below

Step-by-step explanation:

It has two sides that are parallel  ( the 'bases' )  and different lengths ( making the other two sides NOT parallel)

Answer:

Step-by-step explanation:

A trapezoid is a quadrilateral with at least one pair of parallel sides. In other words, a trapezoid has two opposite sides that are parallel, called the bases, and the other two sides are called the legs or lateral sides.

So, to conclude that a quadrilateral is a trapezoid, you must determine that:

1)Two of its sides are parallel.

2)The other two sides are not parallel.

If these two conditions are met, then the quadrilateral is a trapezoid.

(If a trapezoid has two pairs of parallel sides, then it is known as a parallelogram, which is a special type of trapezoid.)

A) The homeownership rate in the United States calculated by the U.S. Census Bureau for the second quarter of 2019 as 64.1 percent means that about 64% of the U.S. homes are owner-occupied instead of renting.

B) The homeownership rate is the quotient of the number of owner-occupied homes and the total number of U.S. homes.

The homeownership rate describes the percentage or proportion of U.S. homes occupied by owners instead of renters.

The rate refers to the ratio, which is the relative size of one quantity compared to another.

To compute the homeownership rate, the number of owner-occupied homes is divided by the total number of U.S. homes and multiplied by 100.

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Answer:

the solution is done in the given picture..

thank you

On solving the provided question, we can say that equation is 532/13.5 = 39.4 doses.

A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is frequently only one variable, which also serves as the symbol. For example, 2x - 4 = 2.

the equation is the week * 7 (weekdays) * 24 (hours/day) * 19/6 (MILIGRAMS/HOURS)

532 mg per week (532/13.5 = 39.4 doses)

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Answer:

503.1222

rounded: 503.12

The interest to be paid is $99

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Simple Interest = P×R×T/100

where P is the principal,

R is the rate

and T is the time

P = $900

R = 11%

T= 1

I = 900× 11/100

I = $99

therefore the interest to be paid is $99

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Answer:

f(2) = 18

Step-by-step explanation:

If f(x) = 3 * (x + 4)

Than f(2) = 3 * (2 + 4) (coz x is an argument)

f(2) = 3 * (2 + 4)

f(2) = 3 * 6

f(2) = 18

Based on the proceeds and effective rate, Wilson should take out the simple discount note, which has a higher proceeds of $5,005 and a higher effective rate of 9.9% compared to the simple interest note's proceeds of $5,995 and effective rate of 9.0%.

To compare the simple discount note and the simple interest note, we can calculate the proceeds and effective rates for each.

For the simple discount note, the interest is deducted upfront and the borrower receives the difference, or the proceeds. The interest on a $5,500 note at 6% for 18 months can be calculated as:

Interest = Principal × Rate × Time

Interest = $5,500 × 6% × 1.5 years

Interest = $495

The proceeds for the simple discount note can be calculated as:

Proceeds = Principal - Interest

Proceeds = $5,500 - $495

Proceeds = $5,005

The effective rate for the simple discount note can be calculated using the formula:

Effective Rate = Interest / Proceeds × 100%

Effective Rate = $495 / $5,005 × 100%

Effective Rate = 9.9%

For the simple interest note, the interest is calculated on the principal amount and added to the principal at the end of the term. The interest on a $5,500 note at 6% for 18 months can be calculated as:

Interest = Principal × Rate × Time

Interest = $5,500 × 6% × 1.5 years

Interest = $495

The total amount due at the end of the term for the simple interest note can be calculated as:

Total Due = Principal + Interest

Total Due = $5,500 + $495

Total Due = $5,995

The effective rate for the simple interest note can be calculated using the formula:

Effective Rate = Interest / Principal × 100%

Effective Rate = $495 / $5,500 × 100%

Effective Rate = 9.0%

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To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.

(a) The yearly percent rate of growth of the world population is 1.0103%.

(b) The world population in 2020 was 7.68 billion people. The model predicts that the world population in 2026 will be 8.336 billion people.

(c) The projected average rate of change of the world population between 2020 and 2026 is 0.556 million people per year.

(a) The yearly percent rate of growth of the world population can be found by taking the exponential rate of change of the equation. The rate of change is 1.0103%.

(b) To find the world population in 2020, we can plug in t=0 into the equation. This gives us P=7.68 billion people. To find the world population in 2026, we can plug in t=6 into the equation. This gives us P=8.336 billion people.

(c) To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.

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Answer: $31.20

Step-by-step explanation:

0.6% = 0.006

.: fee = 0.006 x 5200 = $31.20

The probability both get a 3 is 1/60

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

Jim = 1 to 10

Lyn = 1 to 6

Using the above as a guide, we have the following:

P(Jim = 3) = 1/10

P(Lyn= 3) = 1/6

Using the above as a guide, we have the following:

Required probability = 1/10 * 1/6

Evaluate the product

Required probability = 1/60

Hence, the probabilty is 1/60

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Answer:69

Step-by-step explanation:

31+38=69

Answer:

  b = 30

Step-by-step explanation:

You want the value of b given line y = 20x +b passes through the points (6, 150) and (11, 250).

The equation y = 20x +b can be solved for b:

  b = y -20x . . . . . . . . subtract 20x

Using the given point (x, y) = (6, 150), you have ...

  b = 150 -20(6) = 150 -120

  b = 30

a) The standard deviation of  1.45 mpg.

b)The margin of error for the mean estimate 3.03 mpg

c) A 95% confidence interval for μμ is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg, the mean highway mpg for this vehicle is  27 mpg.

a) Using the formula for the standard error of the mean, σx¯ = σ/√n, where σ is the standard deviation of the population, n is the sample size, we can calculate σx¯ = 6.5/√20 ≈ 1.45 mpg.

b) Using a 95% confidence level, we can find the critical value for the t-distribution with 19 degrees of freedom (n-1), which is 2.093. The margin of error for the mean estimate is then t*σx¯ = 2.093 x 1.45 ≈ 3.03 mpg.

c) The 95% confidence interval for μ is given by x¯ ± margin of error, which is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg. Since the vehicle sticker information states a highway average of 27 mpg, the results of this experiment are not consistent with the vehicle sticker, as the 95% confidence interval does not contain the value of 27 mpg. This suggests that the vehicle may not be performing as well as expected, or that the sample of mpg readings was not representative of the overall population.

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The angles x and 3x - 12 are two vertical angles and the measure of the vertical angle x is equal to 48°.

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

We shall evaluate for the measure of x as follows:

x + x + 3x - 12 + 3x - 12 = 360° {sum of angles at a point}

2x + 6x - 24 = 360°

8x - 24 = 360°

8x = 360° + 24 {add 24 to both sides}

8x = 384°

x = 384°/8 {divide through by 8}

x = 48°

Therefore, since the angles x and 3x - 12 are two vertical angles we have derived the measure of the vertical angle x to be equal to 48°.

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Answer:

x = 42°

Step-by-step explanation:

Please here it is.