4x+15 what is the value of X

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:

[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:

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:

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:

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:

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:

-21/2 <-5/2 < - 2 < - 1.75 <-1 <1.75 <9/4

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

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

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

Answer:

First answer:

r+r+r+r = 4r

Second answer:

r+3r+2 = 4r + 2

Answer:

The 3rd option

Step-by-step explanation:

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

Answer: 4.5

Step-by-step explanation:

You add all the number and divide them by the amout

of numbers there are for example here you add them all and get 45 and since there are 10 you divide 45 by 10 and get 4.5

Answer:

how can i answer?

Step-by-step explanation:

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:

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:

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: 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:

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:

63

Step-by-step explanation:

×+15+102=180

×=180-102-15

×=64

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:

y=1/7x

Step-by-step explanation:

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

Answer: change 9x and 5x

Step-by-step explanation:

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:

https://brainly.com/question/13947055

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