Answer:
Y= 250x+45
Step-by-step explanation:
answer = 250 per hour (X) + 45
Look at the equation.
3+4(5−x)=19−4x+4
How many solutions does the equation have? Explain your answer.
Answer:
infinite solutions
Step-by-step explanation:
3+4(5−x)=19−4x+4
Distribute
3 +20 -4x = 19 -4x +4
Combine like terms
23 -4x = 23 -4x
Add 4x to each side
23-4x+4x = 23-4x+4x
23 =23
This is always true so there are infinite solutions
Find the HCF of 30x²y²z³
Answer:
The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..
Step-by-step explanation:
helpp i’ll give brainlest
4) If the area of a triangle is
72 square feet and the base is 12 feet, what is the height?
Help ASAP
Answer:
The height is 12 feet.
Step-by-step explanation:
The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).
Now let's plug in the numbers.
According to the word problem, the base is 12 feet.
As of now, our equation is: 1/2 ⋅ 12 ⋅ h
The only number times 1/2 that would give you an answer of 72 is 144.
12⋅12 = 144.
This means the height is 12.
And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.
Because the area of the triangle is 72, 72 is the number we are looking for.
Therefore, the height is 12.
I really hope this made sense, it was a bit rushed.
PLS HELP I NEED THIS BY TOMORROW
Rearrange the parts of the parallelogram to form a rectangle. Find the area of the parallelogram and the area of the rectangle. How are the areas related?
Make a copy of the trapezoid to form a parallelogram. Find the area of the trapezoid and the area of the parallelogram. How are the two areas related?
When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h. Since the two trapezoids of the same size created this parallelogram, the area of one of those trapezoids is one half the area of the parallelogram
please help me out, im taking a test. ill give brainliest
Answer: you are cheating :(?
So I won't help u sorry
Step-by-step explanation:
How are you today? Have you had anything to eat? What's ur fav color? I'm just here to talk. I hope everyone has been staying safe!
Answer:
How are you today?
im good
Have you had anything to eat?
hot pocket
What's ur fav color?
Blue and Black
I'm just here to talk. I hope everyone has been staying safe!
Step-by-step explanation:
What is the length of BC?
5
12
A.7
B.12
C.13
D.17
Answer:
its A. 7
Step-by-step explanation:
HELP A FRIEND IN NEED
Answer:
Angle A = 68 degree
Angle B = 44 degree
Step-by-step explanation:
Sum of all interior angles = Angle A+Angle B+ Angle C
180 = 68+x+x-24
180 = 68+2x-24
180-68 = 2x-24
112+24 = 2x
136/2 = x
68 = x
Therfore, Angle A = 68 degree
Angle B = (x-24)
= (68-24)
= 44 degree
Mark as brainliest.
Helpppppp me confused
Answer:
A = 4.5
B = 40.5
C = 4π or 12.566
D = 16
Step-by-step explanation:
A
6 x .5 = 3
3 x .5 = 1.5
1.5 x 3 = 4.5
B
12 x 3/4 = 9
1/2 (9)(9) = 40.5
C
8 x .25 = 2
π2² = 4π or 12.566
D
24 x 1/3 = 8
6 x 1/3 = 2
2 x 8 = 16
a box of 8 marbles has 4 red,2 green and 2 blue marbles. If you select one marble, what is the probability that it is a red or blue marble
your answer should be 0.80
The distance around a triangle is 34 centimeters. If two sides are equal and the length of the third side is 6 centimeters, what is the length of each of the other two sides?
Subtract 6 from the total then divide by 2.
34-6 = 28
28/2 = 14
The length of the other two sides are 14 cm each
Don't you times by a thousand then times the answer
I got 60,000
Answer:
i think that's right
Step-by-step explanation:
Find the exact value of x. Do the sides lengths form a Pythagorean triple?
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 36 hours. hours and a standard deviation of 5.5 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.
a. What can you say about the shape of the distribution of the sample mean?
b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)
c. What proportion of the samples will have a mean useful life of more than 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)
d. What proportion of the sample will have a mean useful life greater than 34.5 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)
e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Answer:
a) By the Central Limit Theorem, it is approximately normal.
b) The standard error of the distribution of the sample mean is 1.8333.
c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.
d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours
e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 36 hours and a standard deviation of 5.5 hours.
This means that [tex]\mu = 36, \sigma = 5.5[/tex]
a. What can you say about the shape of the distribution of the sample mean?
By the Central Limit Theorem, it is approximately normal.
b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)
Sample of 9 means that [tex]n = 9[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333[/tex]
The standard error of the distribution of the sample mean is 1.8333.
c. What proportion of the samples will have a mean useful life of more than 38 hours?
This is 1 subtracted by the pvalue of Z when X = 38. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{38 - 36}{1.8333}[/tex]
[tex]Z = 1.09[/tex]
[tex]Z = 1.09[/tex] has a pvalue of 0.8621
1 - 0.8621 = 0.1379
0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.
d. What proportion of the sample will have a mean useful life greater than 34.5 hours?
This is 1 subtracted by the pvalue of Z when X = 34.5. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{34.5 - 36}{1.8333}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061.
1 - 0.2061 = 0.7939
0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.
e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?
pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So
0.8621 - 0.2061 = 0.656
0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours
In the first week of July, a record 1,100 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 350 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Ill gove brainlyist and 40 points pleaseee
Find the area of this triangle,
Round to the nearest tenth.
4 ft
37
10 ft
[? ] ft2
Answer:
12
Step-by-step explanation:
Hello There!
When we are given two side lengths and the included angle we use this formula to solve for the area
[tex]A=\frac{1}{2} absin(C)[/tex]
where a and b = the side lengths and c = the included angle
The triangle gives us the following information
side length - 10 ft
side length - 4 ft
included angle - 37
Given this information we plug it into the formula
[tex]A=\frac{1}{2} 4*10sin(37)\\10*4=40\\40sin(37)=24.07260093\\\frac{24.07260093}{2} =12.03630046[/tex]
Finally we round to the nearest tenth and get that the area of the triangle is 12ft²
Which would be the best method to use to solve the following equation. Explain your reasoning.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
x^2-x-6=0
Method:
Why:
Answer:
x = 3 and x = -2
Step-by-step explanation:
The given equation is :
[tex]x^2-x-6=0[/tex]
We need to solve the given equation.
We can solve it using Completing the Square method.
We take two numbers such that their product is -6 and sum is -1.
So,
[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]
so, the values of x are 3 and -2.
Is (1,8) a solution to the system of equations 3x+y=9 2x+9y=20
write the log equation as an exponential equation
Given:
The equation is:
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
To find:
The exponential equation of the given logarithmic equation.
Solution:
We have,
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
According to property of logarithm,
[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]
Using the property of logarithm, we get
[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]
Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].
Suppose the graph of f(x)=x^2 is translated 3 units eight and 1 unit down. If the resulting graph represents g(x), what is the value of g(2.7)?
Answer:
The value of g(2.7) is 31.49.
Step-by-step explanation:
Translations of a function:
Suppose that we have a function f(x).
The translation of f(x) a units to the left is given by g(x) = f(x+a).
The translation of f(x) a units to the right is given by g(x) = f(x-a).
The translation of f(x) a units up is given by g(x) = f(x) + a.
The translation of f(x) a units down is given by g(x) = f(x) - a.
Suppose the graph of f(x)=x^2 is translated 3 units right and 1 unit down.
Three units right:
[tex]g(x) = f(x+3) = (x+3)^2[/tex]
One unit down:
[tex]g(x) = f(x+3) - 1 = (x+3)^2 - 1[/tex]
What is the value of g(2.7)?
This is g when [tex]x = 2.7[/tex]. So
[tex]g(2.7) = (2.7+3)^2 - 1 = (5.7)^2 - 1 = 31.49[/tex]
The value of g(2.7) is 31.49.
Write an expression representing the perimeter of the rectangle as the sum of the four side lengths.
Answer:
2x+ 2(x+4/5)
Step-by-step explanation:
Perimeter = 2l + 2w
l = x
w = x+4/5
A florist uses 7 red roses for every 4 white roses in her bouquets. Select the ratio of white roses to red roses. Please select 3 answers. 4 : 7
4 to 7
7 to 4
4/7
7/4
7 : 4
Answer:
Step-by-step explanation:
7 red roses
4 white roses
the answer would be 4 to 7, 4/7, and 4:7
I hope this helps!
Heyy Answer please and explain
Answer: V=37.5 cm³
Step-by-step explanation:
Formula
V=(πr²h)/3
Given
r=5/2=2.5 cm
h=6 cm
Solve
V=(πr²h)/3
V=(π(2.5)²(6))/3
V=(π(6.25)(6))/3
V=37.5π/3
V=37.5(3)/3
V=37.5 cm³
Hope this helps!! :)
Please let me know if you have any questions
What the equation for y.
2y + 2x = 4
A. y = -x + 2
B. y = 2x + 4
C. y = -x-2
D. y = x + 2
Answer:
A
Step-by-step explanation:
first move the 2x to the other side and you get 2y=4-2x, then you divide the entire equation by 2 and get y=2-x, which when re arranged is y = -x+2.
Convert the angle 2π/3 radians to degrees.
Answer:
2π/3 radians is equal to 120°.
Step-by-step explanation:
In this problem, we need to convert the angle 2π/3 radians to degrees.
The relation radian and degree is given by :
[tex]D=\dfrac{180}{\pi}\times R[/tex]
Substitute all the values,
[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]
So, 2π/3 radians is equal to 120°.
I have been stuck on the problem for so long. please help me:
What is the value of y in the solution set of the system of linear equations shown below?
y= -x + 12
4x - 2y = 36
A- 10
B- 8
C- 6
D- 2
Answer:
D-2
Step-by-step explanation:
You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2
[tex]if \: a = 3 + 2 \sqrt{2} .find \: a \times \frac{1}{a} [/tex]
Answer:
1
Step-by-step explanation:
Given that,
[tex]a=3+2\sqrt{2}[/tex]
We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].
So,
[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]
As numerator and dinominator is same. It means,
[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]
So, the value of the given expression is equal to 1.
ppppppppppppppppppppppppppppllllllllllllllllllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzz hheellpp
Answer:
12 because imagine 40 / 3 ok? now what makes 160 40 x 4 so you do that for the button 4 x 3 please put heart
diameter 32 inches what is the raidus