Answer:
2n + 18.....
Step-by-step explanation:
yea
Find the inverse of each of the given functions.
f(x) = 4x-12
ƒ¹(x) =
Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4
Step-by-step explanation:
\( {x}^{2} + 10x + 16 = 0 \\ factors : 2 \: and \: 8 \\ = > {x}^{2} + 2x + 8x + 16 = 0 \\ x(x + 2) + 8(x + 2) = 0 \\ (x + 8)(x + 2) = 0 \\ hence \\ x = - 8 \: and \: - 2 \\ = > A. -8,-2\)
can someone help me out-? thanks hopefully the picture is there- :,D
Answer:
2a-12-16b
Step-by-step explanation:
\(4((\frac{a}{2} -3)-4b)=\)\(4((\frac{a-3(2)}{2} )-4b)\)\(=2(a-3(2))-4(4B)=2a-12-16b\)
what is inequalities
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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Write a similarity statement for the similar triangles.∆ABC ~ ∆____
Question:
Solution:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. Now, to solve the question. you must take into account the order of the angles. Then, we can conclude the correct answer is: EDC.
Suppose your school is having a talent show to raise money for new band supplies. You think that 200 students and 150 adults will attend. It will cost $200 to put on the talent show. What is an equation that describes the ticket prices you can set for students and adults to raise $1000?
Answer:
200x + 150y= 1200
Step-by-step explanation:
Let x represent the number of students
Let y represent the number of adults
200students and 150 adults will tend
It will cost $200 to organise the talent show
The ticket prices to set for students and adults can be represented by the equation below
200x + 150y= 1000+200
200x + 150y= 1200
How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in
Greg worked for 4 hours and took two 15 minute breaks if he worked eight hours yesterday how many minutes in brakes did Greg take
Answer: Greg would have taken 4 breaks, you pretty much multiply the breaks by 2 because 4 x 2 is 8 hours and 2 x 2 is 4 breaks. In total he would have taken 4 breaks yesterday for a total of 60 minutes. I hope that this helped you!
Step-by-step explanation:
This graph represents the function . A waveform intercepts the x-axis at 0, pi by 2, pi, 3 pi by 2, and 2 pi Which statement is true about the function? A. The function is positive on the interval . B. The function is negative on the interval . C. The function is positive on the interval . D. The function is negative on the interval .
The correct statement about the function is that it is negative on the interval (0, pi by 2) and (pi, 3 pi by 2), and positive on the interval (pi by 2, pi) and (3 pi by 2, 2 pi). The answer is option B, the function is negative on the interval.
The given information indicates that the function being represented is periodic with a period of 2 pi. It also suggests that the waveform is oscillating between positive and negative values. The intercepts on the x-axis occur at the roots of the function, which correspond to the points where the waveform crosses the x-axis.
Based on this information, we can make some observations about the function's behavior at different intervals. For example, between 0 and pi by 2, the function is negative because the waveform is below the x-axis. Between pi by 2 and pi, the function is positive because the waveform is above the x-axis. Similarly, between pi and 3 pi by 2, the function is negative and between 3 pi by 2 and 2 pi, the function is positive. The answer is option B, the function is negative on the interval.
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A point at (15, 42) is reflected over the x-axis. What are the coordinates of the reflected point? Enter your answer by filling in the boxes. ( , )
Answer:
(15, -42)
Step-by-step explanation:
Reflect Over X-Axis Formula
The following formula is used to reflect a coordinate point about the x-axis.
(X2,Y2) = (X1,Y1) * (1,-1)
Where X2 and Y2 are the new reflected coordinates
X1 and Y1 are the original coordinate points
Reflect Over X-Axis Definition
Reflection over the x-axis is the process of producing a coordinate point that is mirrored across the x-axis of the coordinate plane. That is it has the same X coordinate and opposite y4 coordinate.
Reflect over X-Axis Example
How to reflect over the x-axis?
First, determine the original coordinate points.
For this example, we will say the coordinate points are (4,5).
Next, calculate the new coordinate points.
Using the formula above we calculate the new reflected points as (4,5)*(1,-1) = (4,-5).
Answer:
i jus took the test
Step-by-step explanation:
(a)(-5a)
I have to find the product and simplify the answer. Can anyone please help me?
Answer:
-5a*a^2
Step-by-step explanation:
(a)(-5*a)
-5a*a^2?
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 55, 18, 39, 20, 20, 44, 69
Answer:
s = 19.7
Step-by-step explanation:
First we need to calculate the mean x' of the sample as:
\(x'=\frac{55+18+39+20+20+44+69}{7}=37.9\)
We sum all the scores and divide them by the number of scores.
Then, the standard deviation s is calculated as:
\(s=\sqrt{\frac{(55-37.9)^2+(18-37.9)^2+(39-37.9)^2+(20-37.9)^2+(20-37.9)^2+(44-37.9)^2+(69-37.9)^2}{7-1} }\\ s=19.7\)
We square every score less the mean, sum every value, then divide that by the number of scores less 1 and finally, we calculate the square root.
So, the standard deviation of the sample is 19.7
Select the expressions that are equivalent to 7•7•7•7•7•7. I HAVE TO ANSWER 2 MORE ANSWERS
Answer:
49 * 7'4
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 8 12
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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832 x156 show your work
Answer:
129792
Step-by-step explanation:
156
× 832
----------
312
468
+ 1248
---------------
129792
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. (a) How many ways can this be done, if the order of the choices is relevant? X (b) How many ways can this be done, if the order of the choices is not relevant?
Number of ways to choose two colors of three colors when order of choice is relevant and relevant are 6 and 3 respectively.
What are permutations and combinations?Permutation refers to placing all members of a set in a particular order or choice of order. Combination is a way of selecting items from a collection, so the order of selection (unlike permutation) does not matter.
Given,
Three colors, red, blue and green
a) Number of ways of choosing 2 colors out of three colors when order matter
= ³p₂
= 3!/(3-2)!
= (3×2×1)
= 6
b) a) Number of ways of choosing 2 colors out of three colors when order does not matter
= ³C₂
= 3!/(3-2)!2!
= (3×2×1)/(2×1)
= 3
Hence, when 6 and 3 are the number of ways to choose 2 colors from three colors when order matter and dose not matter respectively.
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hellppppppooooooppppppppppp
Answer:
A
hope i helped
GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Ariel says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
A. Give an example for which Ariel’s claim is true.
B. Give and example for which Ariel’s claim is false
C. Suggest and improvement to Ariel’s claim
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
The condition for two parallel lines.In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
What is a conditional statement?A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."
Based on the given conditional statement, an example for which Ariel’s claim is true is given by:
3x + 4y = 63x + 4y = 10Based on the given conditional statement, an example for which Ariel’s claim is false is given by:
3x + 4y = 63x + 4y = 6An improvement to Ariel’s claim is adding the phrase "and the independent variables are different" to her conditional statement.
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A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X
Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.
Answer:
A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)
A = (1/4)√29√21√7
= about 16.32 mm²
Answer:
16.27 mm² (see comment)
Step-by-step explanation:
You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.
AreaThe area is given by the formula ...
A = 1/2ab·sin(C)
A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²
The area of the triangle is about 16.27 square millimeters.
__
Additional comment
If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)
s = (4 +11 +14)/2 = 14.5
A = √(s(s -a)(s -b)(s -c))
A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375
A ≈ 16.32
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How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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what is the slope of the line with the equation of y= 3x that passes through the points (2, 6)?
Answer:
is there a picture?
Step-by-step explanation:
Which system of equations has no solution?
A.
y = 7x +5
y = 7x + 5
B.
3x - 5y = 10
-3x + 5y = -10
C.
y = 3x - 2
y = 3x + 5
D.
3x - 5y = 10
-3x - 2y = 20
Answer:
A
Step-by-step explanation:
1/9 divided by 8/7 =_ the lesson is called dividing fractions
Answer:
\( \frac{7}{72} \)
Step-by-step explanation:
The question is :
\( \frac{1}{9} \div \frac{8}{7} \)
We need to take the reciprocal which means invert the :
\( \frac{8}{7} \)
So, it will be :
\( \frac{1}{9} \times \frac{7}{8} \)
After that , do 1 × 7 on numerator and 9 × 8 on denominator....
After multiplication you'll get :
\( \frac{7}{72} \)
1/9 divided by 8/7 is equal to 7/72.
To divide fractions, you can use the following rule: invert the second fraction and multiply it by the first fraction.
In this case, you have:
1/9 ÷ 8/7
To divide, we invert the second fraction:
1/9 × 7/8
Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(1 × 7) / (9 × 8)
This simplifies to:
7/72
Therefore, 1/9 divided by 8/7 is equal to 7/72.
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A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a rectangle. Which of the following solids could have resulted in that cross section?
The solid that could have resulted in a rectangular cross-section when cut by a plane perpendicular to its base is a rectangular prism.
We have,
A rectangular prism has a rectangular base and it's top and bottom faces are parallel and congruent to the base.
When cut by a plane perpendicular to its base, the cross-section will always be a rectangle, which is congruent to the base.
Other solids such as cones, cylinders, pyramids, spheres, or irregular shapes cannot have a rectangular cross-section when cut by a plane perpendicular to their base.
Thus,
The solid that could have resulted in a rectangular cross-section when cut by a plane perpendicular to its base is a rectangular prism.
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Amy regularly works 20 hours per week at Pook’s dry cleaners from Monday through Friday she earns $15.50 per hour and receives double time pay for working sundays next week she will work her regular 20 weekday hours and an additional 8 hours on Sunday what will her total pay be for the week?
Answer:
$496
Step-by-step explanation:
Figure out what she normally makes first.
20x$15.50=$310
Next, figure out additional pay.
15.50x.5=7.75
7.75x8=62
15.50x8=124
62+124=186
then, add overtime pay.
$310+$186=$$496
The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF FG: GH is equal to 1: 5:3. If EH
:
= 54, find EG.
The ratio of EG = 36.
Let's assign variables to the lengths of the line segments:
EF = x
FG = 5x
GH = 3x
We know that EH = EF + FG + GH.
Substituting the given values, we have:
54 = x + 5x + 3x
Combining like terms, we get:
54 = 9x
To isolate x, we divide both sides of the equation by 9:
54/9 = x
Simplifying, we find:
6 = x
EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.
Since EG is the sum of EF and FG, we can calculate it as follows:
EG = EF + FG = 6 + 30
= 36
EG = 36.
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Find the radius of a circle that has an area of 121 pi f2
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11