Answers
[tex] \sqrt{2x+8}-6=4 \\ \\ \sqrt{2x+8}=10 \\ \\ 2x+8=(10)^{2} \\ \\ 2x+8=100 \\ \\ 2x=92 \\ \\ x= 46 [/tex]
Related Questions
A lawn roller is 1 m wide and 80 cm high. What area is covered in each revolution
Answers
A = 2 * pi * r * l
Where,
r: roller radius
l: roller width
We have then:
A = 2 * 3.14 * (0.80 / 2) * 1
A = 2.512 m ^ 2
Answer:
The area that is covered in each revolution is:
A = 2.512 m ^ 2
simplify
3 (2x+4y-2z)+7 (x+y-4z)
Answers
What is the standard deviation of the following data set rounded to the nearest tenth?
51.8, 53.6, 54.7, 51.9, 49.3
A.3.4
B.3.3
C.1.9
D.1.8
Answers
the standard deviation of the data set will be found as follows:
Var=∑(x-μ)²/(n)
μ-mean
μ=(51.8+53.6+54.7+51.9+49.3)/5
μ=261.3/5=52.26
Next:
∑(x-μ)²=(51.8-52.26)²+(53.6-52.26)²+(54.7-52.26)²+(51.9-52.26)²+(49.3-52.26)²
∑(x-μ)²=16.852
thu
Var(x)=16.852/(5)=3.3704
Hence the standard deviation will be:
σ=√3.3704=1.835865~1.8
Answer: D] 1.8
Answer:
1.8
Step-by-step explanation:
what is the measure of the angle?
Answers
Measure of the angle=55°+180°=235°
We can conclude that the measure of the angle in the picture is 235°
What is the first step to simplify the expression: [–23 – [5 · (2 – 4)]] ÷ 32
Answers
Short answer: 2 - 4
Why?
When you have an equation with parenthesis, you do those first. When you have parenthesis inside of parenthesis, you do that first.
Hope this helped you! ♥
Answer:
According to PEDMAS , We first simplify the PARENTHESES
[5 · (2 – 4)] = [5· -2] = -10
Step-by-step explanation:
Given expression [–23 – [5 · (2 – 4)]] ÷ 32
We have to find the first step to simplify the given expression.
We apply PEDMAS
P stands for PARENTHESES
E stands for EXPONENTS
D stands for DIVIDE
M stands for MULTIPLY
A stands for ADDITION
S stands for SUBTRACTION.
So, according to PEDMAS , We first simplify the PARENTHESES
Thus, [5 · (2 – 4)] = [5· -2] = -10
Which summation formula represents the series below? 12 – 24 + 48 – 96
Answers
12 – 24 + 48 – 96
will be calculated as follows:
first term,a=12
common ratio=+/-2
thus the sum will be:
(i=1)Σ[12(-2)^(i-1)]
Thus the answer:
(i=1)Σ[12(-2)^(i-1)]
Answer: B
Step-by-step explanation:
A class is trying to eliminate t from the parametric equations x=t^2+3 and y=4t. Beth says that she can write t=sqrt(x-3) to eliminate the parameter. Why is this wrong?
She should have added 3 to x, not subtracted.
She should always solve for t as a function of y.
She should have taken both the positive and negative square root.
She should first substitute y for t before solving.
Answers
Because when a number is squared, even if it is negative it can become positive,
so taking square should include + and - to the answer.
Beth says that she can write that she should have taken both the positive and negative square root to eliminate the parameter. Therefore, option (c) is correct.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
We have to find the error which is done by Beth to eliminate the parameter. So, we will take the first equation and do all the steps to find the error and get the desired result.
Given that, x=t²+3 and y=4t
Try find the expression of "t" in terms of "x". We will use equation (1) and we have
x-3=t²
t=√(x-3)
Thus, Beth says that she can write that she should have taken both the positive and negative square root to eliminate the parameter. Therefore, option (c) is correct.
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this will be worth ten points
Answers
To prove this one way, you can show the multiplication of the quotient and divisor. If the division was correct, it would end up as the value of the dividend:
84 * 15 = 1260
1260 = 1260
To prove this another way, you can show 84 being added 15 times and seeing if it totals 1260:
84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 = 1260
1260 = 1260
Answer:
1260/15=84
Step-by-step explanation:
1200/15=80 and 60/15=4
80 + 4 = 84.
Another way is 15 + 15 + 15 and keep counting 84 times and you would get 84
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The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is the width
Answers
43.8 =2(12.4 + w)
21.9=12.4 +w
21.9-12.4 = w
w=9.5 feet
First you know what the length is. You must find the measurement of both combined.
12.4 x 2 = 24.8 (Length)
Subtract this number from the perimeter. 43.8 - 24.8 = 19.
19 is your width multiplied by two. The total measurement of both, to find just the width divide by 2.
19 / 2 = 9.5 (WIDTH)
What are the zeros of f(x) = x2 – 10x + 25?
A. x = –5 and x = 10
B. x = –5 only
C. x = –5 and x = 5
D. x = 5 only
Answers
(x-5) * (x-5)
The answer is 5
The zeros of a function are also known as the roots of the function
The correct option for the zeros of f(x) = x² - 10·x + 25 is the option D.
D. x = 5 only
The reasons why the selected option is correct are given as follows:
The given equation is presented as follows;
f(x) = x² - 10·x + 25
Solution:
The zeros are the values of x when the equation is equal to zero which is given as follows;
x² - 10·x + 25 = 0
By observation, we have;
Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;
0 = x² - 10·x + 25 = (x - 5)·(x - 5)Which gives, either x = 5 , or x = 5Therefore, the zeros of the function is 5 only, and the correct option is option D.
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A Student said the volume of a cylinder with a 3-inch diameter is two times the volume of a cylinder with the same height and a 1.5-inch radius. What is the error?
Answers
Ernie is making a cylinder-shaped container to store his pens. The container has a base on one end and an opening on the other end. He is going to spray paint the outside of the container. The container has a diameter of 3 inches and a height of 18 inches.
Answers
We have then:
A = pi * r ^ 2 + 2 * pi * r * h
Where,
r: cylinder radius
h: cylinder height
Substituting values:
A = 3.14 * (3/2) ^ 2 + 2 * 3.14 * (3/2) * 18
A = 176.625 in ^ 2
Answer:
The amount of paint needed is:
A = 176.625 in ^ 2
How to find the length of a rectangle when given the height?
Answers
The formula for area is:
Area = length • width
If you were given the width and area of the rectangle you would be able to find the length by doing inverse operations. In this case, the opposite of multipication is division
Example: 56 = l • 8
56 / 8 = 7
56 = 7 • 8
The length is 7.
I hope this helps!
The length of a rectangle can be found by dividing the area of the rectangle by its height if the area is known. Without the area, additional information is necessary to calculate the length.
To find the length of a rectangle when given the height, we typically need additional information such as the area or the aspect ratio of the rectangle. However, without that information, directly calculating the length is not possible. Let's explore a scenario where we have the area of the rectangle. In such a case, if we are given the area (A) of the rectangle and the height (h), we can use the formula for the area of a rectangle which is A = length times height. Solving for the length (l), we rearrange the formula to get l = A/h. For instance, if the area of the rectangle is 150 square centimetres and the height is 10 centimetres, the length would be 150 cm2 / 10 cm = 15 cm. It's also important to consider proportions when scaling shapes.
Drag and drop the symbols to enter the equation of the circle in standard form with center and radius given. Center (5, -3), radius = 1
Answers
The standard form of the equation of a circle is:
[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]
With (a, b) representing the centre and r representing the radius of the circle.
Since the centre of the circle is (5, -3) and the radius is 1, we get the following equation:
[tex](x - 5) {}^{2} + {(y + 3)}^{2} = 1[/tex]
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Trinh drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). She translated the figure 4 units left and 5 units up. What are the coordinates of the new figure?
(–4, 2), (–1, 2), and (–4, 0)
(–3, –2), (0, –2), and (–3, –4)
(–3, 3), (0, 3), and (–3, 1)
(1, 3), (4, 3), and (1, 1)
Answers
The Correct Answer Will Get Brainliest.
Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the sun. How many kilometers away is it from the sun?
A: 4.15 x 10^8 km
B: 5.8 x 10^9 km
C: 54.21 x 10^6 km
D: 1.84 x 10^7 km
Answers
1 AU = 1.50 * 10 ^ 8 Km
Applying the conversion of units we have:
(2,767) * (1.50 * 10 ^ 8) = 415050000
Rewriting we have:
4.15 * 10 ^ 8 Km
Answer:
A: 4.15 x 10 ^ 8 km
complete the general solution to y=cos^-1(1) for K a whole number
Answers
Answer:
If the equation is exactly the one you posted then the unique answer is:
[tex]y = 0[/tex]
or what is the same:
[tex]y=0K[/tex]
Explanation:
If your equation is exactly the one you posted then it has only one solution: y = 0
Because the range of [tex]y=\cos^{-1}(x)[/tex] is the interval [tex][0, \pi][/tex]
The meaning of [tex]\cos^{-1}(1)[/tex] is to find the angle whose cosine is 1.
In the range of the function arccosine the only angle whose cosine is 1 is the angle 0.
But if your equation was the following one:
[tex]\cos(y)=1[/tex]
Then in that case we would have infinite solutions since it will be the set:
[tex]y=\cos^{-1}(1)+2K\pi[/tex] where K is an integer, since the period of cosine is [tex]2\pi[/tex]
So, in such a case the solution set would be:
[tex]y=0+2K\pi=2K\pi[/tex]
But for the equation you posted, the unique solution is: y = 0 or what is the same y = 0K
according to the U.S. census bureau, the population of Hawaii in 2010 was 1,360,301 and it was growing at an annual rate of 1.2%. Predict the population in Hawaii in 2032
Answers
A bag contains 2 blue, 4 green, and 3 white chips. What is the probability of drawing a white chip then another white chip without replacement?
A.) 7/9
B.) 8/81
C.) 2/3
D.) 1/12
Answers
total white chips = 3
probability of picking white first = 3/9 = 1/3
after taking one chip there would be 9-1 = 8 chips left
and 3-1 2 white chips left
probability of picking 2nd white chip = 2/8 = 1/4
probability of picking both = 1/3 x 1/4 = 1/12
answer is D
A number from 1-100 is randomly selected. What is the probability that it is a perfect square, given that is an odd number?
Answers
Probability is
5/100=1/20
Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?
Answers
Sure!!!
A 4x4 matrix a with real entries and a4 = i, what are the possible characteristic polynomials of a
Answers
[tex]p_{\mathbf A^4}(\lambda)=\det(\lambda\mathbf I-\mathbf A^4)=\det((\lambda-1)\mathbf I)=(\lambda-1)^4[/tex]
which means [tex]\mathbf A^4[/tex] has eigenvalues [tex]\lambda=1[/tex].
We know that if [tex]\chi[/tex] is an eigenvalue of [tex]\mathbf X[/tex], then [tex]\chi^n[/tex] is an eigenvalues of [tex]\mathbf X^n[/tex].
So if [tex]\lambda=1[/tex] is the only eigenvalue of [tex]\mathbf A^4[/tex], we know that [tex]\pm\sqrt[4]\lambda=\pm1[/tex] are the only possible eigenvalues of [tex]\mathbf A[/tex]. We can construct five possible characteristic polynomials for [tex]\mathbf A[/tex] in that case.
[tex]p_{\mathbf A}(\lambda)=(\lambda-1)^4[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)(\lambda-1)^3[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^2(\lambda-1)^2[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^3(\lambda-1)[/tex]
[tex]p_{\mathbf A}(\lambda)=(\lambda+1)^4[/tex]
If 30 fair dice are rolled find the approximate probability that the average number ofo dots is between 2 and 4
Answers
The probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
what is probability?Probability is the branch of mathematics that deals with the study of random events or phenomena. It involves the quantification of uncertainty and the measurement of the likelihood of occurrence of an event.
The average number of dots on a fair die is
= (1+2+3+4+5+6)/6
= 3.5.
We can model the sum of the numbers on the 30 dice as a normal distribution with mean
= (30)(3.5) = 105
and, standard deviation √(30)(35/12) ≈ 9.13.
Let X be the sum of the numbers on the 30 dice, and let Y be the average number of dots. Then Y = X/30.
We want to find P(2 ≤ Y ≤ 4). This is equivalent to P(60 ≤ X ≤ 120), since Y = X/30.
Using the normal distribution, we can standardize X to get:
Z = (X - 105) / 9.13
Then we can compute the probability as:
P(60 ≤ X ≤ 120)
= P[(60 - 105) / 9.13 ≤ Z ≤ (120 - 105) / 9.13]
≈ P(-4.93 ≤ Z ≤ 1.64)
Using a standard normal distribution table or calculator, we can find that P(-4.93 ≤ Z ≤ 1.64) ≈ 0.9441.
Therefore, the approximate probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
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Classify each polynomial and determine its degree. The polynomial 3x2 is a with a degree of . The polynomial x2y + 3xy2 + 1 is a with a degree of .
Answers
Answer:
The polynomial 3x2 is a
monomial
with a degree of
2
.
The polynomial x2y + 3xy2 + 1 is a
trinomial
with a degree of
✔ 3
.
Step-by-step explanation:
this the answer on the edge
If Kareem’s living room has an area of 225 square feet, how much will he spend to carpet his living room?
Answers
Answer: $ 568.99
Because 18.99+22 x 225/9 = 568.99
Answer: 568.99
Step-by-step explanation: your mom
Need help with these 2 problems I’m pretty sure I got the first one right but I don’t know how to do the second one please and thank you!!
Answers
where
[tex]A[/tex] is the final amount after [tex]t[/tex] years
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the number of years
Mathematical steps for solving the problem:
We can infer from our problem that you are going to invest $800-$640=$160 in your savings account, so [tex]P=160[/tex]. To convert the interest rate to decimal form, we are going to divide the rate by 100%
[tex]r= \frac{4.5}{100} =0.045[/tex]. Since you are leaving the money in your savings account for a year, [tex]t=1[/tex]. Lets replace those values in our formula:
[tex]A=P(1+rt)[/tex]
[tex]A=160[1+(0.045)(1)][/tex]
[tex]A=160(1+0.045)[/tex]
[tex]A=160(1.045)[/tex]
[tex]A=167.2[/tex]
We can conclude that your total savings after buying the refurbished laptop are: $167.2
Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)
Answers
[tex]\sin\dfrac{3\pi}{4}=\sin\left(\pi-\dfrac{\pi}{4}\right)=\sin\dfrac{\pi}{4}=\dfrac{\sqrt2}{3}[/tex]
Look at the picture.
[tex]\dfrac{\pi}{2} < \dfrac{3\pi}{4} < \pi\\\\therefoere\\\\\cos\dfrac{3\pi}{4} < 0\ and\ \sin\dfrac{3\pi}{4} > 0[/tex]
How many cubes are needed to build this structure?
8
7
10
9
Answers
I believe that 8 cubes are needed to build the given figure
I hope this helps!
Answer:
Option A. 8 cubes
Step-by-step explanation:
In the given structure we can count the cubes by dividing the figure in three sub parts.
Two in L shape and one below on L shape figure.
Two L shape figure contains 2×3 = 6 cubes
Cubes hidden under one L shape = 2
Then total cubes = 6 + 2 = 8
Option A. 8 cubes is the answer.
The square root of the quotient of a number and 6 is 9. find the number
Answers
We square both sides:
(x / 6) = 81
x = 486
A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in.3.
The equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner.
What is the side length of the square that is cut from each corner, to the nearest inch?
Answers
[tex]4x^3-72x^2+320x=420\\ 4(x^3-18x^2+80x-105)=0\\ 4(x^3-3x^2-15x^2+15x+35x-105)=0\\ 4(x^2(x-3)-15x(x-3)+35(x-3))=0\\ 4(x-3)(x^2-15x+35)=0\\ \Delta=15^2-4*1*35=85\\\\ x=3\ or\ x= \dfrac{15+ \sqrt{85}}{2} \ or\ x= \dfrac{15- \sqrt{85}}{2}[/tex]
Answer:
3 in
Step-by-step explanation: