Are 2x + 8 and 2 (x + 4)+ 4 equivalent expressions? *

Answer:

Height = 8

Base = 14

Step-by-step explanation:

Base=x+6

Height=x

Area of a triangle is 1/2bh.

1/2·x·(x+6)=56

x²+6x=112

x²+6x-112=0

(x+14)(x-8)=0

x=-14 or x=8

Since x can’t equal a negative number, it must be 8.

Height=x = 8

Base=x+6 = 8+6 = 14

Answer:

3/10 + 1/6 = 7/15

Answer:

3sqrt2

Step-by-step explanation:

b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf

Answer:

here I put this link its a calculator for volumes and stuff  https://www.calculatorsoup.com/calculators/geometry-solids/volume.php

Step-by-step explanation:

hoped this helped

Answer:

The four first terms are:

[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]

Step-by-step explanation:

The function is:

[tex]f(x)=7xe^{x}[/tex]

The Taylor series around a is given by:

[tex]F(x)=\sum^{\infty}_{n=0} \frac{f^{n}(a)(x-a)^{n}}{n!}[/tex]

The first 4 terms will be:

[tex]F(x)=f(0)+\frac{f^{'}(0)(x)}{1}+\frac{f^{''}(0)(x)^{2}}{2}+\frac{f^{'''}(0)(x)^{3}}{6}[/tex]  

Let's find first the derivatives:

[tex]f'(x)=7(xe^{x}+e^{x})[/tex]

[tex]f'(0)=7(0e^{0}+e^{0})=7[/tex]

[tex]f''(x)=7xe^{x}+7e^{x}+7e^{x}=7xe^{x}+14e^{x}[/tex]  

[tex]f''(0)=14[/tex]  

[tex]f'''(0)=21[/tex]

[tex]f''''(0)=28[/tex]    

[tex]F(x)=0+\frac{7(x)}{1}+\frac{14(x)^{2}}{2}+\frac{21(x)^{3}}{6}+\frac{28(x)^{4}}{24}[/tex]

Therefore, the four first terms are:

[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]

I hope it helps you!

So the Taylor series for the function informed will be:

[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]

The function is:

[tex]f(x)= 7e^xx[/tex]

The Taylor series around a is given by:

[tex]f(x)= \sum \frac{f^n (a) (x-a)^n }{n!}[/tex]

The first four terms will be:

[tex]F(x)=f(0)+\frac{f'(0)(x)}{1}+\frac{f''(0)(x)^2}{2} + \frac{f'''(0)(x)^3}{6}[/tex]

Let's find first the derivaties:

[tex]f'(x)= 7(e^xx+e^x)\\f'(0)= 7\\f''(x)= 7e^xx+14e^xx\\f''(0)=14\\f'''(0)= 21\\f''''(0)= 28[/tex]

[tex]F(x)= 0+\frac{7x}{1}+\frac{14x^2}{2}+\frac{21x^3}{6}+\frac{28x^4}{24}[/tex]

Therefore, the four first terms are:

[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]

See more about Taylor series at : brainly.com/question/6953942

Answer:

the answer is A

Step-by-step explanation:

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

The function that represents the situation is F(x) = -x² - 3.

The correct option is A.

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The value of k can find the direction of shift:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given that the parent function is g(x) = x².

To find the transformed function F(x):

The function's diagram is in the opposite direction.

That means the function is -x².

And the function is shifted 3 units down vertically.

From the definition the required function is,

F(x) = -x² - 3.

Therefore, F(x) = -x² - 3.

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Answer:

Step-by-step explanation:

Answer:

1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia

5 gatos come 25 ratos por dia X 5 = 25 gatos come 125 ratos por dia

Answer:

946 ft²

Step-by-step explanation:

28 x 7 = 196

30 x 25 = 750

750 + 196 = 946 ft²

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that [tex]\mu = 20, \sigma = 5[/tex]

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 20}{5}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

√7(-8√10+√14)

-8√70+√98

-8√70+√49.2

-8√70+7√2

Just comment if you want to ask

Answer:

49°

Step-by-step explanation:

x= 90-41 = 49°

---------

Answer:

I would assume x = 49° since 49+41=90 and it appears to be a 90° angle

The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = \frac 14(4)^x[/tex]

The above function is an exponential function that has an initial value of 1/4 and a rate of 4

When x = 2,

f(2) = 4

When x = 1,

f(1) = 1

Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)

Read more about exponential functions at:

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Answer:

graph one

Step-by-step explanation:

did it on ed .

Answer:

[tex]Area = 229.6125in^2[/tex]

Step-by-step explanation:

Given

[tex]h = 14in[/tex] --- height

[tex]d =4.5in[/tex] --- diameter

Required

The minimum amount of paper needed

This implies that we calculate the surface area of the can (cylinder)

This is calculated as:

[tex]Area = 2\pi r(r + h)[/tex]

Where

[tex]r = \frac{1}{2}d[/tex]

So, we have:

[tex]r = \frac{1}{2} *4.5[/tex]

[tex]r = 2.25[/tex]

This gives:

[tex]Area = 2 * 3.14 * 2.25(2.25 + 14)[/tex]

[tex]Area = 2 * 3.14 * 2.25*16.25[/tex]

[tex]Area = 229.6125in^2[/tex]

Answer:

The value after 0 years = $ 800

The value after 1 year = $600

The value after 2 years = $450

The value after 3 years = $337.5

The value after n years = computer cost at (n-1) year -

Step-by-step explanation:

We can conclude that -

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that a computer cost $800. It loses 1/4 of its value every year after it is purchased.

We can write the equation representing the value {v} of the computer,

years after it is purchased as -

v{x} = 800(1/4)ˣ

For {x} = 5, we can write -

v{5} = 400(1/4)⁵

v{5} = 400 x 0.0009765625

v{5} = 0.39

Therefore, we can conclude that -

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Answer:

This statement........... can't be more wrong

Step-by-step explanation:

It's 2021, Corolla Virus is out there, most people stay indoors. And what is one of the most common things to do indoors? PLAY VG. So they aren't overrated, they have just become more popular.

The slope m of a line is one of the elements in the equation of a line when written in the "slope and intercept" form: y = mx+b. The m in the equation is the slope of the line described here.

Answer:

Step-by-step explanation:

A). From the table of relative frequencies,

Let the relative frequency of women who prefer mineral water = x

Total of relative frequencies of women preferring purified water and mineral water = 0.59

Since, Total of relative frequencies of women who prefer purified water and mineral water = Relative frequency of women preferring purified water + Relative frequency of women preferring mineral water

0.59 = 0.14 + x

x = 0.59 - 0.14

x = 0.45

B). Relative frequency of men  who prefer mineral water = 0.13

Let the frequency of men who prefer mineral water = x

Since, relative frequency = [tex]\frac{\text{Frequency}}{\text{Total of frequencies}}[/tex]

0.13 = [tex]\frac{x}{200}[/tex]

x = 200 × 0.13

x = 26

Therefore, number of shoppers who are men and prefer mineral water = 26

Answer:

-45 -16 -9 7 33

Given:

Consider the below figure attached with this question.

m(arc(SW)) = (12x-5)°, m(arc(TV))= (2x+7)°,and measure of angle TUV = (6x-19)°.

To find:

The m(arc SW).

Solution:

Intersecting secant theorem: If two secants intersect outside the circle, then the angle on the intersection is half of the difference of the larger subtended arc and smaller subtended arc.

Using Intersecting secant theorem, we get

[tex]m\angle TUV=\dfrac{1}{2}(m(arc(SW))-m(arc(TV)))[/tex]

[tex]6x-19=\dfrac{1}{2}((12x-5)-(2x+7))[/tex]

[tex]6x-19=\dfrac{1}{2}(12x-5-2x-7)[/tex]

[tex]6x-19=\dfrac{1}{2}(10x-12)[/tex]

Multiply both sides by 2.

[tex]2(6x-19)=10x-12[/tex]

[tex]12x-38=10x-12[/tex]

[tex]12x-10x=38-12[/tex]

[tex]2x=26[/tex]

Divide both sides by 2.

[tex]x=13[/tex]

Now, the measure of arc SW is:

[tex]m(arc(SW))=(12x-5)^\circ[/tex]

[tex]m(arc(SW))=(12(13)-5)^\circ[/tex]

[tex]m(arc(SW))=(156-5)^\circ[/tex]

[tex]m(arc(SW))=151^\circ[/tex]

Therefore, the measure of arc SW is 151 degrees.

Answer:

Sure i can try helping u with ur mathia lol

Step-by-step explanation:

Answer:

30km/hr

Step-by-step explanation:

10min=0.166hr

v=5km/0.166hr

=30km/hr

Answer:

1917 when reduced by 8 then rounded is 2020

Step-by-step explanation:

Answer:

Step-by-step explanation

7.

[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]

9.

[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]

let's assume the Coordinates be x and y

By using Section formula,

[tex] \boxed{ x = (\dfrac{x_2 + x_1}{2} )}[/tex]

____________________

[tex] \boxed {y = (\dfrac{y_2 + y_1}{2} )}[/tex]

____________________

[tex]\mathrm{Therefore \:\:the\:\: Coordinates\:\: of \:\:the\;\; mid-point\;\: of \;\;the\:\: given\:\: segment\:\; is}[/tex]

[tex] \huge \boxed{(2,0)}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR} \: ☃[/tex]

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

Answer:

[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]

Option B: 20.9°

Answer:

16/31

Step-by-step explanation:

Given :

Length of hypotenuse of triangle = 29 units

Base length of triangle = 20 units

Height of triangle = 21 units

To find:

Tan Z

Steps:

The Tan of any angle is equal to Opposite by the Adjacent of the angle.

Tan = [tex]\frac{opposite}{adjacent}[/tex]

[tex]Tan Z = \frac{YX}{ZY}[/tex]

[tex]Tan Z = \frac{20}{21}[/tex]

Therefore, Tan Z = [tex]\frac{20}{21}[/tex]

Happy to help :)

If u need any more help, feel free to ask