Answer:
E
Step-by-step explanation:
Really need help please
The quotient is 33x-8 and the remainder is 44.
What is quotient?
In arithmetic, a quotient is described as a quantity produced by the division of two numbers.
The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The result of dividing 23-2-11x-8 by x+1 using synthetic division is:
23 | -2 -11x -8
x+1 | 23 21 11x
44 33x-8
I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
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GIVING BRAINLIST ASAP
Find the sales price:
$45.50 book, 30% discount
Round your answer to the nearest cent (hundredths place)
Answer:
$32.00
Step-by-step explanation:
$45.50 x 30%=
45.50 x 0.30= 14
$45.50-$14.00= $32.00
Answer:
31.85
Step-by-step explanation:
45.50 is your original price, 30 percent in decimal form is 13.65, so 45.50 minus 13.65 equals 31.85
Write the equation of a line with a slope of 2 that goes through the point (-4,3)
Answer:
y= 2x + 11
Step-by-step explanation: Hopefully that helps ;)
Graph the circle (x-2)^2 + (y-7)^2 = 4
Answer:
see attached
Step-by-step explanation:
You want the graph of the circle defined by the equation ...
(x-2)^2 + (y-7)^2 = 4.
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Comparing this to the given equation, we see ...
h = 2, k = 7, r² = 4
Then r = √4 = 2.
The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.
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I WILL GIVE BRAINLEST (7TH GRADE QUESTION)
Answer:
1. volume= 135
2. prism volume in cubic feet is: 21
3. surface area is 294 ft^2
4. surface area is 430 ft^2
6) Ron bought a car 8 years ago for $15,694. If the rate of depreciation is 4.75% per year, what is the value of
Ron's car now? Round answer to nearest cent.
O a.) $10,642.94
Ob.) $10,332.94
Oc.) $10,632.94
Od.) $10,662.94
2. The diagram above shows a wooden structure in the form of a cone mounted on hemispherical base. The vertical height of the cone is 24cm and the base 7cm. Calculate correct to 3 significant figures the surface area of the structure. (Take π= 22/7)
The surface area of the wooden structure is approximately 1012 cm².
To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.
Surface Area of the Cone:
The surface area of a cone is given by the formula:
A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.
The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:
\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)
Using the given measurements:
\(s_{cone\) = √(7² + 24²) cm
\(s_{cone\) ≈ √(49 + 576) cm
\(s_{cone\) ≈ √625 cm
\(s_{cone\) ≈ 25 cm
Now, we can calculate the surface area of the cone:
\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)
\(A_{cone\) = (22/7) × 7 cm × 32 cm
\(A_{cone\) = 704 cm²
Surface Area of the Hemispherical Base:
The surface area of a hemisphere is given by the formula:
\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.
Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:
\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²
\(A_{hemisphere\) = (22/7) × 2 × 49 cm²
\(A_{hemisphere\) = 308 cm²
Total Surface Area:
To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:
Total Surface Area = \(A_{cone} + A_{hemisphere}\)
Total Surface Area = 704 cm² + 308 cm²
Total Surface Area = 1012 cm²
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Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:
Using matrices the simultaneous equation is solved to get x = 3 and y = 5
How to solve the simultaneous equation using matricesThis method required finding determinants in three occasions then dividing
The given equation
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)
the determinant is
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)
3 * 1 - 2 * 1 = 3 - 2 = 1
Solving for x
determinant while replacing x values
\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)
19 * 1 - 2 * 8 = 19 - 16 = 3
solving for x = 3/1 = 3
Solving for y
determinant while replacing y values
\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)
3 * 8 - 19 * 1 = 24 - 19 = 5
solving for y = 5/1 = 5
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PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Snow-House sells a $1,501 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $170 each. What is the finance charge?
Answer:
$839.20
Step-by-step explanation:
To find the finance charge, we need to first calculate the total amount financed, which is the price of the snow thrower minus the down payment.
The down payment is 20% of $1,501, which is:
0.20 x $1,501 = $300.20
So the total amount financed is:
$1,501 - $300.20 = $1,200.80
The total amount of the 12 monthly payments is:
12 x $170 = $2,040
The finance charge is the difference between the total amount of the payments and the amount financed:
$2,040 - $1,200.80 = $839.20
Therefore, the finance charge is $839.20.
Which translation(s) will take Triangle T to Triangle U? Explain your answer
For Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Options A and C
This is further explained below.
What is translation?Generally, A translation is a kind of geometric transformation that is used in Euclidean geometry. This type of transformation involves moving each point of a figure, shape, or space by the same distance in a certain direction.
In conclusion, for Triangle T to translate Triangle U
1. Translate (-3, 0) to (1, 2).
2. Translate (-2, -1) to (2, 1) .
3. Translate (-4, -3) to (0, -1).
Therefore, Options A and C are valid
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Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84Solve for x:
2x + 3 = 7
Answer:
x = 2
Step-by-step explanation:
First, subtract 3 from both sides.
2x + 3 = 7
- 3 -3
2x = 4
Then, divide both sides by 2.
2x / 2 = 4 / 2
x = 2
Answer:
the solution for x is x = 2
Step-by-step explanation:
To solve for x, we need to get x by itself on one side of the equation. First, we can subtract 3 from both sides to get:
2x + 3 - 3 = 7 - 3
Simplifying the left side gives us:
2x = 4
Then, we can divide both sides by 2 to get:
2x / 2 = 4 / 2
Simplifying the left side gives us:
x = 2
Carla used 6 1/2 cups of sugar to make five pies. How many cups of sugar will she need to make 2 pies?
Answer:
Number of Sugar cups needs for 2 pies = 20/13 cups
Step-by-step explanation:
Given:
Number of Sugar cups used for 5 pies = \(6\frac{1}{2}\) cups = 13/2 cups
Find:
Number of Sugar cups needs for 2 pies
Computation:
Number of Sugar cups needs for 1 pie = 5 / (13/2)
Number of Sugar cups needs for 1 pie = 10 / 13 cups
Number of Sugar cups needs for 2 pies = 2[Number of Sugar cups needs for 1 pie]
Number of Sugar cups needs for 2 pies = 2[10/13]
Number of Sugar cups needs for 2 pies = 20/13 cups
How many gallons of 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a mixture that is 50% antifreeze.
(Round to the nearest whole number)
Answer:
Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
You need to end up a mixture that is 60% antifreeze.
You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).
.
You will add 'x' gallons of 70% antifreeze to make the 60% mixture.
So, at the conclusion, you will have (90+x) gallons 60% 'pure' antifreeze. That can be shown with the equation:
.
.25*90 + .7*x = .6*(90+x)
.
Multiply by 100 to eliminate fractions.
.
25*90 + 70x = 60(90 +x)
.
2250 + 70x = 5400 + 60x
.
10x = 5400 -2250
.
10x = 3150
.
x = 315 gallons of 70% antifreeze.
.
How much will you end up having on hand?
90 + 315 = 405 gallons
.
If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?
.6*405 = 243
.
In the original 90 gallons, you have 22.5 gallons of pure antifreeze.
In the additional 315 gallons, you have .7*315 = 220.5 gallons.
22.5+220.5 = 243 gallons
Step-by-step explanation:
What is an equation of the line that passes through the points (−3,8) and (-7, 8)
Answer:
y = 8
Step-by-step explanation:
Since the y- coordinates of the points are equal, both 8 , then
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then
y = 8 ← equation of line
Consider two points A(0,0) and B(1, 1) on a Cartesian plane. The equation of the axis of the segment AB is: A. y = 1 2 − B. y = 2 − C. y = 1 − 2 D. y = 1 − E. y = 1 − 2
So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
The slope of the line passing through points A and B can be calculated as follows:
slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1
The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
To find the y-intercept, we can use point A (0,0) and substitute the slope value.
y = mx + b
0 = 1(0) + b
b = 0
Therefore, the equation of the line passing through points A and B is:
y = 1x + 0
Simplifying, we get:
y = x
So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:
y - 0 = 1(x - 0)
y = x
This confirms our earlier answer.
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Help me Please with this Math ;(
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
The figure below shows the relationship between two supplementary angles.
Which of the following represents the value of x and a?
Answer:
1) x=20
2) a=28
Step-by-step explanation:
1) 6x+3x=180
9x=180
x=180÷9
x=20
2) 50+2x+3x-10=180
40+5x=180
5x=180-40
5x=140
x=140÷5
x=28
This year, there were 25% fewer sunny days than last year.
The number of sunny days this year is blank% of the number of sunny days last year.
Please write the full question, you wrote half of the question. If you could write the full one, I could probably be able to answer it
STOP BEING SO POOOR POOR PEOPLE
Answer:
Its not a choice its a life style bubs #peasantpower
Empirical research on stock market data indicates that over the course of a year, 40% of stocks go up.A random sample of 600 stocks is going to be chosen at the beginning of next year. Let p be the proportion of the stocks in the sample that go up over the course of a year.
Given:
probability=40%
sample=600
Mean of p:
\(\mu_p=0.4\)
Standar desviation:
\(\sigma_{\mu p}=\sqrt[\placeholder{⬚}]{\frac{p*q}{n}}\)Where q is equal to:
q=1-p.
Substituing:
\(\sigma_{\mu p}=\sqrt[\placeholder{⬚}]{\frac{0.4(1-0.4)}{600}}=0.02\)Approximation for: P(p<0.44), four decimals.
We are going to find de probability finding the z-value.
\(\begin{gathered} Z=\frac{x-\mu_p}{\sigma_{\mu p}} \\ \\ Z=\frac{0.44-0.4}{0.02}=2 \end{gathered}\)fOR Z= 2, P(Z)=0.9772
Therefore,
\(\begin{gathered} P(\mu_p\leq0.44)=p(Z) \\ p(2)=0.9772 \end{gathered}\)A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
Absolute zero is -459.67 Fahrenheit. How many degrees above absolute zero is the freezing point of water?
Answer:
491.67 above
Step-by-step explanation:
Please help I’ll upvote your work
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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Solve for the value of z
Answer:
z=26
Step-by-step explanation:
4z-8+3z+6=180
7z-2=180
7z=182
z=26
Answer:
z=26
Step-by-step explanation:
add the 2 equation together to equal 180
4z-8+3z+6
combine like terms
7z-2=180
add 2 to both sides
7z=182
divide by 7 to isolate z
z=26
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
What are the next two terms in the sequence 1, 8, 27, 64..., written as coordinate pairs (n,
an)?
A) (5, 75), (6,86)
B) (5, 81), (6,100)
C)(5, 125), (6, 216)
D) (125, 5), (216, 6)
Answer:
C)(5, 125), (6, 216)
Step-by-step explanation:
Well firstly, there's no actual way to know. There could be anything there, as for any n pairs (x, y) with distinct x-s, there exists a (n-1 or less)-degree polynomial that models them perfectly, and infinitely many polynomials of degree n (or more).
If we input those terms to a polynomial interpolator, we'll get an answer every time.
With this one, it will be the right answer though!
But to be serious, let's find out what the numbers are. We can notice they're all cubic numbers.
There's 1, which is 1^3, then theres 2^3, then it's 3^3, then 4^3.
It's reasonable to expect that we are expected to assume (x, x^3) is the rule.
We can see that the answer C (5, 5^3), (6, 6^3) fits this narrative.
Suppose there is a 21.9% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a 21.9% probability that a randomly selected person aged 20 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs?
The probability that a randomly selected person aged 35 years or older is female and jogs is Would it be unusual?
A. No
B. Yes
Answer:
The value \(P(F\ n \ J) = 0.05\)
The answer is No
Step-by-step explanation:
From the question we are told that
The probability a person is a jogger is \(P(J) = 21.9 \% = 0.219\)
The probability that a person is female given that she jogs is \(P(F|J) = 21.9 \% = 0.219\)
Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as
\(P(F\ n \ J) = P(J)* P(F|J)\)
=> \(P(F\ n \ J) = 0.219* 0.219\)
=> \(P(F\ n \ J) = 0.05\)
Given that the probability is equal to 0.05 then it is not unusual