Answer:
124
Step-by-step explanation:
2x+100=6x+52
solve for variable x = 12
plug it in
2(12)+100
sj= 124
Which property of equality was used to solve this equation?
Answer:
Division property of equality
Step-by-step explanation:
They are dividing both sides.
A boy has 27 cubes, each with sides the length of 1cm. He uses these cubes to build one big cube. What is the volume of the big cube?
Answer:54
volume:side*side*side
side:1 cm*1 cm *1 cm
answer=icm
Solve the logarithmic equation. When necessary, round answer to the nearest hundredth. log 4 (x over 2) = 2
Answer:
The solution is x = 32.
Step-by-step explanation:
To solve the logarithmic equation [tex]\log _4\left(\frac{x}{2}\right)=2[/tex] you must:
Use the logarithmic definition [tex]\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex].
[tex]\log _4\left(\frac{x}{2}\right)=2\quad \Rightarrow \quad \frac{x}{2}=4^2[/tex]
Multiply both sides by 2
[tex]\frac{x}{2}\cdot \:2=4^2\cdot \:2[/tex]
Simplify
[tex]x=32[/tex]
The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24%
Answer: B. 22%
Step-by-step explanation:
Answer:
Yeah its 22%
Step-by-step explanation:
A certain three-cylinder combination lock has 65 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 65 numbers can be used at each step to form the combination. What is the probability of guessing a lock combination on the first try?
Answer:
1/275,625 ≈ 3.641×10^-6
Step-by-step explanation:
There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.
The sum of two intcgers is -6. If one of them is 2, then the other is
(a) 4
(b) 4
(c) 8
(d) -8
Answer:
D) -8
Step-by-step explanation:
If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)
Hopefully you find this useful :)
Answer: -8
Step-by-step explanation: lets take the unknown number as x,
so we have, 2 + x= -6
by using transposition method, x= -6-2( positive becomes
negative when transpositioning)
so, x= -8
Not sure how to solve this
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
x = 0
y = 3·0 -14 = -14
y = -8
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
x = 3
y = 3·3 -14 = -5
__
The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
_____
Comment on the approach
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15
Answer:
Step-by-step explanation:
1/2x - 2/3 × 15 = 30
1/2x - 10 = 30
1/2x = 30 + 10
1/2x = 40
x = 40 × 2
x = 80
hope this helps
plz mark it bas brainliest!!!!!!!!!
What is the domain of the relation graphed below?
Answer:
domain: (-4,4)
Step-by-step explanation:
i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4
look at the right triangle ABC
Answer: A) Justification 1
Step-by-step explanation:
The student did not match the angles correctly.
∠ABC = 90° and ∠BCD = 60° so they cannot state that the angles are congruent. The other statement on that line is wrong also, but is irrelevant since there is already an error in that line.
A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 246 members were looked at and their mean number of visits per week was 2.2 and the standard deviation was 2.6. Round answers to 3 decimal places where possible.
a. To compute the confidence interval use a ? distribution.
b. With 95% confidence the population mean number of visits per week is between and visits.
c. If many groups of 246 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week
Hey Mate !
Here is your expert answer. If you do like this accurate answer. Please Mark as Brainliest !
Write an expression:
You bought four
sandwiches that cost
$2.50 each and two
drinks that cost d
dollars each.
Answer:
2d + 10.
Step-by-step explanation:
If four sandwiches cost $2.50 each, you have 4 * 2.5.
If two drinks cost $d each, you have 2 * d.
4 * 2.5 + 2 * d
= 10 + 2d
= 2d + 10.
Hope this helps!
A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot
Answer:
28 feet
Step-by-step explanation:
area of a square = side times side; the sides are equal
50 = side times side or 50 = side^2
sqroot of 50 = sqroot of side^2
7 feet is about the size of the side of the square so using that information..
2 length + 2 width or 4 side
4 times 7 = 28
the perimeter is 28 feet
Please answer this correctly
Answer:
1/64
Step-by-step explanation:
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
[tex]1/8 \times 1/8[/tex]
[tex]= 1/64[/tex]
1/64
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
1/8 \times 1/81/8×1/8
= 1/64=1/64
When the factors of a trinomial are (x + p) and (x + 9) then the constant term
of the trinomial is:
Answer:
9p
Step-by-step explanation:
(x + p)(x + 9) =
= x^2 + 9x + px + 9p
= x^2 + (9 + p)x + 9p
The constant term is 9p.
Assume that the probability of a driver getting into an accident is 4.2%, the
average cost of an accident is $13,547.92, and the overhead cost for an
insurance company per insured driver is $130. What should this driver's
insurance premium be?
A. $699.01
B. $56.90
C. $569.01
O D. $186.90
Answer:
A. $699.01
Step-by-step explanation:
130 = x − (0.042) (13547.92)
x = 699.01
Use the formula m =
V2 - V1
X2 - X1
to calculate the slope of the
line.
The slope of the line is -1
Answer:
[tex]\displaystyle m=2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (-6, -8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-8-8}{-6-2}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-16}{-8}[/tex][Fraction] Divide: [tex]\displaystyle m=2[/tex]A 50 gram sample of a substance that's
used to treat thyroid disorders has a k
value of 0.1137.
The question is incomplete. Here is the complete question.
A 50 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.1137. Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer: [tex]t_{1/2}[/tex] = 6.1 days
Step-by-step explanation: Half-life is the amount of time necessary for a substance to reduce to half of its initial value.
To determine half-life through mass of a substance:
[tex]N = N_{0}.e^{-kt_{1/2}}[/tex]
Initially, there are 50 grams. After 1 half-life, there are 25 grams:
[tex]25 = 50.e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{25}{50} = e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{1}{2} = e^{-0.1137.t_{1/2}}[/tex]
[tex]ln (\frac{1}{2} ) = ln (e^{-0.1137.t_{1/2}})[/tex]
ln(1) - ln(2) = -0.1137.[tex]t_{1/2}[/tex]
[tex]t_{1/2} = \frac{- ln(2)}{- 0.1137}[/tex]
[tex]t_{1/2} =[/tex] 6.1
The half-life of the sample substance is 6.1 days.
How many ways can you distribute $4$ identical balls among $4$ identical boxes?
Answer:
5 ways
Step-by-step explanation:
We have to name the cases.
1. 4 - 0 - 0 - 0
2. 3 - 1 - 0 - 0
3. 2 - 2 - 0 - 0
4. 2 - 1 - 1 - 0
5. 1 - 1 - 1 - 1
We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.
There are 35 ways to distribute 4 identical balls among 4 identical boxes
How to determine the number of ways?The given parameters are:
Balls, n = 4
Boxes, r = 4
The number of ways is then calculated as:
(n + r - 1)C(r - 1)
This gives
(4 + 4 - 1)C(4 - 1)
Evaluate
7C3
Apply the combination formula
7C3 = 7!/((7 - 3)! * 3!)
Evaluate the difference
7C3 = 7!/(4! * 3!)
Evaluate the expression
7C3 = 35
Hence, the number of ways is 35
Read more about combination at:
https://brainly.com/question/11732255
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Find the measure of the indicated angle to the nearest degree. Thanks.
Answer:
34
Step-by-step explanation:
uts obtuse angle
Answer:
16°
Step-by-step explanation:
Let x° be the missing angle:
cos x° = 53/55
cos x° = 0.963
using a calculator:
cos^(-1) (0.963) = 15.63 ≈ 16
Subtracting polynomials
Answer:
The other polynomial is 11x^2 -3x
Step-by-step explanation:
12x^2 -5x - ( x^2 -2x) = other polynomial
Distribute the minus sign
12x^2 -5x - x^2 +2x
Combine terms
11x^2 -3x
The other polynomial is 11x^2 -3x
Please help with how to find the area of the shape with work
Answer: 10 squares.
Step-by-step explanation:
We can do it with integrals.
If we take the bottom vertex as the point (0,0), the top right vertex as the point (0,4) and the left vertex as the point (5, 6)
then the area of the triangle is the area enclosed by two lines between the values x = 0 and x = 5.
the two lines are:
the bottom is the one that passes through (0,0) and (5,6)
f(x) = y = s*x (because it passes through the point (0,0))
and the slope is s = 6/5.
so f(x) = y = (6/5)*x.
The top line is the one that passes through (0,4) and (5,6)
the y-intercept is b = 4, and the slope is:
s = (6 - 4)/(5 - 0) = 2/5.
g(x) = y = (2/5)*x + 4.
Now, the area enclosed for the triangle is equal to:
[tex]\int\limits^5_0 {g(x) - f(x)} \, dx[/tex]
this is equal to:
[tex]\int\limits^5_0 {(2/5)x + 4 - (6/5)x} \, dx = \int\limits^5_0 {-(4/5)*x + 4} \, dx[/tex]
= (1/2)(-4/5)*(5)^2 + 4*5 - 0 = 10
The area is 10 squares
6.1.3
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Answer:
The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
Step-by-step explanation:
A normal-distribution is an accurate symmetric-distribution of experimental data-values.
If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.
If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
In the study of a nonlinear spring with periodic forcing, the equation y prime prime plus ky plus ry cubedy′′+ky+ry3equals=Upper A cosine omega tAcosωt arises. Let kequals=44, requals=33, Aequals=77, and omegaωequals=88. Find the first three nonzero terms in the Taylor polynomial approximation to the solution with initial values y(0)equals=0, y prime (0 )y′(0)equals=1.
Answer:
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
Step-by-step explanation:
THe interpretation of the given question is as follows:
y'' + ky + ry³ = A cos ωt
Let k = 4, r = 3, A = 7 and ω = 8
The objective is to find the first three non zero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0 ; y' (0) = 1
SO;
y'' + ky " ry³ = A cos ωt
where;
k = 4, r = 3, A = 7 and ω = 8
y(0) = 0 ; y' (0) = 1
y'' + 4y + 3y³ = 7 cos 8t
y'' = - 4y - 3y³ + 7 cos 8t ---- (1)
∴
y'' (0) = -4y(0) - 3y³(0) + 7 cos (0)
y'' (0) = - 4 × 0 - 3 × 0 + 7
y'' (0) = 7
Differentiating equation (1) with respect to t ; we have:
y''' = - 4y' - 9y² × y¹ - 56 sin 8t
y''' (0) = -4y'(0) - 9y²(0)× y¹ (0) - 56 sin (0)
y''' (0) = - 4 × 1 - 9 × 0 × 1 - 56 × 0
y''' (0) = - 4
Thus; we have :
y(0) = 0 ; y'(0) = 1 ; y'' (0) = 7 ; y'''(0) = -4
Therefore; the Taylor polynomial approximation to the first three nonzero terms is :
[tex]y(t) = y(0) + y'(0) t + y''(0) \dfrac{t^2}{2!} + y'''(0) \dfrac{t^3}{3!}+...[/tex]
[tex]y(t) = 0 + t + 7 \dfrac{t^2}{2!} + \dfrac{-4}{3!} {t^3}+ ...[/tex]
[tex]\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}[/tex]
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
The sample selected is of size, n = 50.
The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:
[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 49}=2.000[/tex]
*Use a t-table.
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum {x}=\frac{1}{50}\times [6+4+6+...+9+6]=6.34\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{50-1}\times 229.22}=2.163[/tex]
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
[tex]=6.34\pm 2.00\times\frac{2.163}{\sqrt{50}}\\\\=6.34\pm 0.612\\\\=(5.728, 6.952)\\\\\approx(5.7, 7.0)[/tex]
Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. - n = 95 + n = 95 • n = 95 ÷ n = 95
Answer:
[tex] n * \frac{1}{2} = 95 [/tex]
Step-by-step explanation:
Required:
Select the equation that most accurately depicts the word problem
One-half of a certain number is 95.
Take the certain number to be n.
This statement in equation form will be:[tex] n * \frac{1}{2} = 95 [/tex]
Therefore, the equation that most accurately depicts the word problem is [tex] n * \frac{1}{2} = 95 [/tex]
Although your options are incomplete, but this answer is correct.
The * symbol can be replaced with a dot sign
Answer:
up up up up
Step-by-step explanation:
Find the sum of the positive divisors of 18.
Answer:
39
Step-by-step explanation:
factors of 18= 1, 2, 3, 6, 9, 18
1+2+3+6+9+18=39
Answer:
39
Step-by-step explanation:
The divisors of 18 are ...
1, 2, 3, 6, 9, 18
Their sum is ...
1 + 2 + 3 + 6 + 9 + 18 = 39
Combine the like terms to create an equivalent expression: -12 - 6p - (-2)
Answer:
-6p -10
Step-by-step explanation:
-12 - 6p - (-2)
Subtracting a negative is like adding
-12 - 6p + (2)
Combine like terms
-6p -12+2
-6p -10
Answer:
-6p=10
Step-by-step explanation:
-12 - 6p - (-2) to combine like expression
-12-6p+2
-6p-10 to create equivalent expression an equal sign is used
-6p=10
Which one is cheaper and why
A bag of 4 litre milk for $3.99, or a carton of 1 litre milk for $1.99
Hey there! :)
Answer:
The bag is cheaper because one litre is roughly $1.00, compared to the carton which is $1.99 for one litre.
Step-by-step explanation:
Given:
Bag of 4 litre milk = $3.99
Carton of 1 litre milk = $1.99
Find the price per litre for a bag of milk:
[tex]\frac{3.99}{4} = \frac{x}{1}[/tex]
Cross multiply:
3.99 = 4x
Divide both sides by 4:
3.99/4 = x.
x = 0.9975 ≈ $1.00
Bag of 1 litre milk ≈ $1.00
Carton of 1 litre milk = $1.99
$1.00 < $1.99
Therefore, the bag is cheaper.
Which of the following is a key property of the absolute value parent function?
A. It has a slope of 1 on the left half.
B. It is U-shaped
C. It is in quadrants I and ll
D. Its vertex is not at the origin
Answer:
the absolute-value parent function has a slope of 1 on the right half.
I hope this will work fine for you.
Comment if you need more explanation
ThX
Step-by-step explanation: