1/2 (2x + 5) = 3/4 (x + 1) + 5/2 show your work!!:)

Answer:

z = 7

Step-by-step explanation:

Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)

Thus:

z = ½(14)

z = 7

Answer:

A change from 55 to 77 represents a positive change (increase) of 40%.

Hope this helps!

Answer:

Increase

Step-by-step explanation:

55 videos to 77 videos is equal to 140% increase

so how we find the result?

multiply 77 with 100 and divide it by 55

77*100/55 = 140

Answer:

The 3rd option

Step-by-step explanation:

If we find X then this would become a Mult. problem

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

Answer:

36

Step-by-step explanation:

Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36

Answer:

1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 C. 561.1 cm^2

Step-by-step explanation:

just took the test!!!

.....................................

80m, you kind of distribute so 8 times 10m is 80m

The expression can be simplified as  [tex]7x\sqrt[3]{ 2x} y^7[/tex].

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Given:

The expression = [tex]\sqrt[3]{686x^4} y^7[/tex]

Factorize 686 we get 7³ × 2

= [tex]\sqrt[3]{7^3\times 2x^4} y^7[/tex]

= [tex]7x\sqrt[3]{ 2x} y^7[/tex]

Therefore, the expression can be simplified as  [tex]7x\sqrt[3]{ 2x} y^7[/tex].

To know more about the expression:

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Answer: Answer= -23

Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)

Answer:

24

Step-by-step explanation:

I use the Pythagoras theorem.

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

[tex]4^{2}{x}6^{2} = c^{2}[/tex]

16 x 36= 576

[tex]\sqrt{576} = 24[/tex]

Answer:

[tex]y' = 5x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Required

The inverse relation

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Rewrite as:

[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]

Swap x and y

[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]

Multiply through  by 5

[tex]5x = y - 4[/tex]

[tex]y = 5x +4[/tex]

Rewrite the new function as:

[tex]y' = 5x + 4[/tex]

Answer:

The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half

The volume of Larry’s picture is approximately 653in³

The volume of Sandra’s pitcher is approximately 905in³

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters are;

Now, substitute the values, we have;

Larry's cylinder

Volume = 3.14 × 4² × 13

Find the square value and multiply the expression

Volume = 653in³

Sandra's cylinder

Volume = 3.14 × 6² × 8

Find the square value and multiply the expression

Volume = 905in³

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Try this option:

1. to calculate the difference of the final sequence:

the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;

2. to calculate the first term of the final sequence:

A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.

3. to calculate the last term of the final sequence:

if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.

n<(407-23)/28; n<13.71. If n∈Z, then n=13.

So, the last term of the final sequence is 23+28*13=387.

4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:

{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}

Answer:

Chapter Three: Calculate Total Countertop Square Footage

To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).

Answer:

m=-32

Step-by-step explanation:

-2=m/16

-2×16=m

-32=m

m=-32

Answer:

m=-32

Step-by-step explanation:

-2×16=m

-32=m

m=-32

Answer:

0 degrees Fahrenheit

Step-by-step explanation:

Start at -14 degrees F and then add 14 degrees, the amount by which the temperature rose.  We end up at zero (0) degrees Fahrenheit.

Answer:

how can i answer?

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Rhombus is a sideways SQUARE

Answer: True

if you turn a square 45 degrees to the side it is a rhombus

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.

Answer:

100

Step-by-step explanation:

[tex] {x}^{2} + 20x + c \\ \\ {x}^{2} + 2.x.10 + {10}^{2} \\ {x}^{2} + 20x + 100 \\ \implies \: {x}^{2} + 20x + c \\ \implies \: c = 100[/tex]

Answer:

15 boys selected

Step-by-step explanation:

Given

[tex]N =11000[/tex] --- The population

[tex]n = 100[/tex] --- The sample selected

[tex]p =0.152[/tex] -- The proportion of boys

Required

The expected number of boys selected

The expected number is calculated by multiplying the sample size by the proportion of boys.

So, we have:

[tex]Boys = p * n[/tex]

[tex]Boys = 0.152 * 100[/tex]

[tex]Boys = 15.2[/tex]

[tex]Boys = 15[/tex] --- approximated

Answer:

280,000

Step-by-step explanation:

Solve

Given: 100,000 subscribers increases by 2.4% per month

To find: After a year, how much will that be?

First step:

Find the increase of the subscribers per month

100,000 of 2.4%

Set up an equation

2.4/100 × 100,000/1

Cross multiply, cancel zeros in both 100,000 and 100. Which is equal to:

2.4/1 x 1,000/1 =

2,400

Second step: If it increases per month,

then to find the year, find out how many months is in a year:

12 months = 1 year

Now that has been figured out, multiply the result by the result in the first step:

12 × 2400 = 28.800

Therefore, the number of subscribers will be after a year

Answer:

y=1/7x

Step-by-step explanation:

55-48= 7, 2-1=1, 1/7= slope

Answer:

First answer:

r+r+r+r = 4r

Second answer:

r+3r+2 = 4r + 2