Answer:
(x - .20)(x - .50)
[tex]x^{2}[/tex] = (.20)(.50)
[tex]x^{2}[/tex] = 0.1
x = [tex]\sqrt{ .1[/tex]
x = .32
the product of two numbers decrease by 32%
find the answer of
31050×2³
Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?
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
Help plz:)))I’ll mark u Brainliest
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
Add 3/10 + 1/6 enter your answer below as a fraction in lowest terms, using the slash ( / ) as the fraction bar.
Answer:
3/10 + 1/6 = 7/15
Express 9 hours as a percentage of 3 days.
First, determine how many hours are in 3 days.
1 day = 24 hours
Answer:
24 x 2 = 48 plus 24 equal 72
Step-by-step explanation:
3 days equal 72-hour
Answer:
12.5%
Step-by-step explanation:
Total hour in 3 days =72
Total%= 9/72*100
100/8
12.5%
A computer cost $800. It loses 1/4 of its value every year after it is purchased. complete the table to show the value of the computer at the listed times. Write an equation representing the values, v, of the computer, years after it is purchased. Used your equation to find v when t is 5. What does this value of v mean?
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:
he cost of computer = $ 800It losed 1/4th of value every year.The value of computer after 0 years = cost of computer = $ 800The value after 1 year = 800 - ( ) = $600The value after 2 years = 600 - ( ) = $450The value after 3 years = 450 - ( ) = $337.5The value after n years = computer cost at (n-1) year -We can conclude that -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.What is function?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 -
the equation representing the value {v} of the computer, years after it is purchased as → v{x} = 800(1/4)ˣ.For {x} = 5, the value of {v} would be 0.39.To solve more questions on functions, visit the link below-
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The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 56
square meters, what are the base and height of the triangle?
The height is
meters
The base is
meters
PLEASE HELP FOR EXAM
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
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
What percentage of the people in line waited for more than 28 minutes?
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
Can someone help me with this.
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
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0
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
why are video games so overrated nowadays
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.
If mSW = (12x-5)°, mTV= (2x+7)°,and m angle TUV = (6x-19)°, find mSW
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.
Provide your steps!!
•••••••••••••••••••••••••
Answer:
946 ft²
Step-by-step explanation:
28 x 7 = 196
30 x 25 = 750
750 + 196 = 946 ft²
What are the slopes of the lines.
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.
There are 15 boys and 16 girls in Gabriel’s class. One person is chosen at random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31
Step-by-step explanation:
I need help with this question
Answer:
[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]
Option B: 20.9°
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)?
A.
F(x) = –x2 – 3
B.
F(x) = x2 – 3
C.
F(x) = –(x + 3)2
D.
F(x) = –(x – 3)2
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.
What is transformation on the graphs?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.
To learn more about the transformation on the graphs;
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Decrease £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
1917 when reduced by 8 then rounded is 2020
Step-by-step explanation:
Find the value of x. Only need 7 and 9 answered.
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]
need help please someone
Answer:
the answer for that will be 471.24
Find the value of x.
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 point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFraction one-fourth EndFraction left-parenthesis x minus 12 right-parenthesis.(x – 12). What is the standard form of the equation for this line?
Given:
The line passes through the two points (–4, –3) and (12, 1).
The point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
To find:
The standard form of the equation for this line.
Solution:
The standard form of a line:
[tex]Ax+By=C[/tex]
The given point-slope form of the equation of the line is:
[tex]y-1=\dfrac{1}{4}(x-12)[/tex]
Multiply both sides by 4.
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=x-12[/tex]
[tex]-4+12=x-4y[/tex]
[tex]8=x-4y[/tex]
Interchanging the sides, we get
[tex]x-4y=8[/tex]
Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].
y = one-fourth x minus three-fourths got it on the edge
No files please........
√7(-8√10+√14)
-8√70+√98
-8√70+√49.2
-8√70+7√2
Just comment if you want to ask
A driver has only 10minutes to cover a distance of kilometers at what speed must he drive in order to cover the distance on time A driver has only 10minutes to cover a distance of 5 kilometers at what speed must he drive in order to cover the distance on time
Answer:
30km/hr
Step-by-step explanation:
10min=0.166hr
v=5km/0.166hr
=30km/hr
Pat and Rick are sales associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps.
Pat
Sales Customers
2 3
4
6
8
Rick
Sales Customers
3 4
6
9
12
Complete the ratio tables for Pat and Rick by entering the missing value in each box.
(4,
)
(6,
)
(8,
)
(6,
)
(9,
)
(12,
)
Answer:
Step-by-step explanation:
Are the equations 3x=−9 and 4x=−12 equivalent? Explain.
yes they are
Step-by-step explanation:
Yes they are equivalent. You get -3 when you try solving the actual equation.
Type CIRCLE WORD if the statement is correct. FALSE if its not.
2:A circle is an angle formed by two radii
3:Every diameter is also called a chord
4:A center is any point on the circle
5:The vertex of inscribed angles lies on the center of a circle
Please answer this now!! As soon as possible i have only 3 minutes!
Answer:
2 ONE IS TRUE AS IT HALF THE DISTANCE BETWEEN THE CIRCLE IS CALLED RADIUS AND FULL DISTANCEIS CALLED RADII WHICH MEANS PLULAR OF RADIUS
Step-by-step explanation:
can someone please help me with this math question
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
-45, -16,-9 ,7,33 least to greatest
Answer:
-45 -16 -9 7 33
Abigail is going to cover the label on a Pringle's can and decorate it for
Mother's Day. The can has a diameter of 4.5 inches and a height of 14
inches. What is the minimum amount of paper that she needs for the
project?
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]