Answer:
The answer is 6 6/12
Step-by-step explanation:
May I please get a little help with this question? Thank you so much.
The y-intercept of the function is (0, c)
The coefficients b determine the horizontal shift of the parabola compared to the parent function
If a is negative, the parabola opens downward
The y-intercept of the function is (0, c).
This means that when x = 0, the y-value is equal to c.
The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.
The coefficient b determines the horizontal shift of the parabola compared to the parent function.
The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.
A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.
If a is negative, the parabola opens downward.
The coefficient a determines the shape of the parabola.
If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.
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this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?
Three triangles are shown.
x represents the measure of an angle, y represents the measure of its supplement, and a and b represent the measures of the other 2 angles. Which of the following statements is true for all three triangles?
x>y because a+b>y
x is greater than y because A plus b is greater than y
y>x because 180−x>a+b
y is greater than x because 180 minus x is greater than A plus b
x=(a+b)−180
x is equal to open paren A plus b close paren minus 180
y=180−(a+b)
Answer:
I think that it may be the last one
Step-by-step explanation:
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%
Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
please help 3/4 divided by 1/8
Answer:
6
Step-by-step explanation:
please help 3/4 divided by 1/8
3/4 : 1/8 =
3/4 x 8 =
24/4 =
6
Determine the amplitude of function
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (1 point)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (1 point)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,
Company A: y = 30x + 13
Company B: y = 28x + 15
The amount for x = 4 is given as,
Company A: y = 30 (4) + 13 = $133
Company B: y = 28 (4) + 15 = $127
The amount for x = 4 is given as,
Company A: y = 30 (7) + 13 = $223
Company B: y = 28 (7) + 15 = $211
Then the amount of money saved is given as,
⇒ $233 - $211
⇒ $22
The amount of money saved to clean 7 mattresses is $22.
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Jason and Martin want to share 3 cookies equally. How much cookie will Jason and Martin each receive? Write an equation and express your answer as a fraction.
Answer: each will get 3/2
Step-by-step explanation:
They will each get a whole cookie with one left over that they can break in half.
Solve:
(√x + 2)(√x - 2) = 0
x = ?
Answer: x = 4
Step-by-step explanation:
(√x + 2)(√x - 2) = 0
√x*√x - 2√x + 2√x -4 = 0
x - 0 - 4 = 0
x = 4
Answer:
\(x=4\)
Step-by-step explanation:
(√x + 2)(√x - 2) = 0
√x × √x - √x · 2 + 2 · √x - 2 · 2 = 0
√xx - 2 × √x + 2 · √x - 4 = 0
√x^1+1 - 2 · √x + 2 × √x - 4= 0
√x² - 2 · √x + 2· √x - 4 = 0
x^2/2 - 2 × √x + 2 · √x - 4 = 0
x - 2· √x + 2 · √x - 4 = 0
x - 4 = 0
(x - 4) + 4 = 0
x - 4 + 4 = 0
x = 4
2/5 of 60 please help
Answer:
60/5 is equal to 12. so 12 x 2= 24, and 5 x 12=60, so 24/60, or just 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
60×40=2400
2400÷100= 24
if you set it up as a proportion
hope this helps, have a good day
simplify: 16-10÷5+13
(a) 31
(b) 1/3
(c)139/9
(d)27
Step-by-step explanation:
16 - 10 × 1/5 + 13
16 - 5 + 13
11 + 13
24
Step-by-step explanation:
10/5=2
16-2+13=27.
d. 27
Triangle ABC was translated to form triangle A'B'C'. Which describes the transformation? Check all that apply.
A.
It is non rigid
B.
The size is preserved
C.
It is rigid
D.
The angles are not preserved
E.
It is isometric
Answer:
B, C, E
Step-by-step explanation:
Translation is a rigid transformation. As such, it preserves sizes and angles. "Isometric" is another way to say "the size is preserved."
Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
9514 1404 393
Answer:
(c) On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
Step-by-step explanation:
The x-coefficient is positive, so we can determine the shading from ...
2x ... < ... (pay attention to the x-term and the inequality symbol)
That is, the solution region will have x values that are less than those on the (dashed) boundary line. Lower x-values are to the left, hence shading is on the left side of the boundary. (That's all you need to know here to make the correct choice.)
_____
Additional comment
If the choices are "above" or "below", then you will want to look at the y-term and the inequality symbol. If the coefficient of the variable of interest is negated (as it is for y here), then you need to consider the inequality symbol reversed: -y < ... ⇔ y > .... Here, that means the shading is above the line. Since the slope of the line is positive, "left" and "above" are the same thing.
Answer:
c
Step-by-step explanation:
E2021
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFraction 1 Over x EndFraction?
Answer:
The range of both f(x) and g(x) all nonzero are real numbers.
Step-by-step explanation:
I think is an answer choice so is B.
:)
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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i need help asap!!!!!
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
Answer:The answer is: D y=5x²-5x-30
Step-by-step explanation:
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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find the value of x 20 3x 5
The value of x is 5
What are algebric expressions?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values.
The given expression is 20 - 3x = 5
We need to calculate the value of x
20 - 3x = 5
20 - 5 = 3x
15 = 3x
3x = 15
x = 5
Therefore, the value of x is in the algebric expression is 5
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How do you find the value
Place value strategy to find the number of zeros in 7 x 5,000
x⁵+x³-5 is divided by x-2
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts that were on sale. What was the original price of the shorts?
Answer:
=$45
Step-by-step explanation:
$18=40%
18÷4=4.5
$4.5=10%
4.5×10=45
$45=100%
Plz help me find side x on the triangle
Answer:
x=71
Step-by-step explanation:
Since this is an isosceles triangle as indicated by the lines on the sides, the sides lengths are equal.
When the sides are equal, the base angles are equal
x=71
Write an equation of the line with the given slope that contains the given point.a) F(3,-6), slope 1/3b) Q(5,2), slope -2c) R(15,10), slope 4/5d) D(1,-9), slope 4
The equation, given slope and 1 point, of a line is given as:
\(y-y_1=m(x-x_1)_{}\)Where
m is the slope (Given, 1/3 rd)
(x_1, y_1) is the point (Given, F(3,-6)
Now, let's substitute the given information into the equation:
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-(-6)=\frac{1}{3}(x-3) \end{gathered}\)Now, we simplify and put the answer in the form y = mx + b. Shown below:
\(\begin{gathered} y-(-6)=\frac{1}{3}(x-3) \\ y+6=\frac{1}{3}x-1 \\ y=\frac{1}{3}x-1-6 \\ y=\frac{1}{3}x-7 \end{gathered}\)Answer:
\(y=\frac{1}{3}x-7\)This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
What is 2,001÷83 pls help i need to check my answer
Answer:
24.11
Step-by-step explanation:
2001 ÷ 83
83×2= 166
200-166=34 bring down the 1
341 ÷ 83
83×4= 332
341-332=9 add a decimal and bring down a 0
90÷83
90-83=7 bring down another 0
70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number
700÷83
83×8=664
700-664=36
right now you have 24.108
round to the nearest tenth
24.11
as an estimation we are told 5 miles is 8km convert 40 miles to km
Answer:
62
Step-by-step explanation:
Just do 5/8 = 40/x, and cross-multiply to get:
320 = 5x,
And x will be equal to 62
Helpppppppppppppppppppppppp
Answer:
\(x = 15\)165+x = 180 (linear pair)
Hence x = 15
Find the number of distinguishable arrangements of the letters of the word SEPTILLION
Answer:
10!
Step-by-step explanation:
Septillion-10 letters
1-s-10 places to be in
2-e-9
3-p-8
4-t-7
5-i-6
6-l-5
7-l-4
8-i-3
9-o-2
10-n-1
So, then
10×9×8×7×6×5×4×3×2×1=10!
or 3628800
The arrangement of the number will be equal to 3628800.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a way to choose items or numbers from a collection or group of items without worrying about the items' chronological order.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
The given word is SEPTILLION. The word has 10 characters. The different ways of the arrangement will be calculated as,
Arrangement = 10!
Arrangement = 10×9×8×7×6×5×4×3×2×1
Arrangement = 3628800
Therefore, the arrangement of the number will be equal to 3628800.
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Find the domain & range of the relation
{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}
Answer:
Domain: -5,6,2,1,-3
Range: 13,18,-7,4,-1
Step-by-step explanation:
Domain is the independent value/ x / input
Range is the dependent value/ y / output