Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]
Thank you.
the price of a computer including tax was 842.50 . the sales tax was 8%. what was the original price of the computer
Answer:
The original price was 780.09
Step-by-step explanation:
Let x be the price of the computer
The sales tax is x* .08
The total price is x + .08x = 1.08x
This is equal to 842.50
1.08x = 842.50
Divide each side by 1.08
1.08x/1.08=842.50/1.08
x =780.09
The original price was 780.09
PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1
Answer:
a
Step-by-step explanation:
Consider a triangle ABC like the one below. Suppose that b=27, c=66, and B=130º. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".
Answer:
The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].
Step-by-step explanation:
As angle B is an obtuse angle, Angle C can be obtained by means of the Law of Sine:
[tex]\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]
[tex]\sin C = \frac{b}{c}\cdot \sin B[/tex]
[tex]C = \sin^{-1}\left(\frac{b}{c}\cdot \sin B \right)[/tex]
Where:
[tex]b[/tex], [tex]c[/tex] - Measures of triangle sides, dimensionless.
[tex]B[/tex], [tex]C[/tex] - Measures of angles, measured in degrees.
If [tex]b = 27[/tex], [tex]c = 66[/tex] and [tex]B =130^{\circ}[/tex], then:
[tex]C = \sin^{-1}\left(\frac{27}{66}\cdot \sin 130^{\circ} \right)[/tex]
[tex]C \approx 18.2632^{\circ}[/tex]
Given that sum of internal angles in triangles equals to 180º, the angle A is now determined:
[tex]A = 180^{\circ}-B-C[/tex]
[tex]A = 180^{\circ}-130^{\circ}-18.2632^{\circ}[/tex]
[tex]A \approx 31.7368^{\circ}[/tex]
Lastly, the length of the side [tex]a[/tex] is calculated by Law of Cosine:
[tex]a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c\cdot \cos A}[/tex]
[tex]a =\sqrt{27^{2}+66^{2}-2\cdot (27)\cdot (66)\cdot \cos 31.7368^{\circ}}[/tex]
[tex]a \approx 45.3201[/tex]
The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].
The city school district is considering increasing class size in the elementary schools. However, some members of the school board are concerned that larger classes may have a negative effect on student learning. In words, what would the null hypothesis say about the effect of class size on student learning?
Answer:
The null hypothesis would say that class size has no effect on students learning.
Step-by-step explanation:
Null hypothesis is a type of hypothesis that is used in statistics which proposes that there is no difference between a certain characteristic of a population or the data - generating process.
Now, in this question,the school district is considering increasing class size in the elementary schools but we want to check whether larger classes may have a negative effect on students learning.
Thus, the null hypothesis would reject this claim of larger classes having negative effect on students and say that class size has no effect on students learning.
Name the quadrants in which of the following points (3, 0) (-9,-3) lie.
Answer:
(3,0) lie between quadrants I and II. (-9, -3) lie in quadrant III
Calliope solved the equation 4x+3=2x−8 using the steps shown below. She was asked to provide her reasoning by choosing the properties of equality that correctly justify her work. Help Calliope by matching her steps of work in the left column with the appropriate reason in the right column.
Answer:
4x + 3 = 2x -8
subtraction property of equality: 4x - 2x = -8 - 3
2x = -11
division property of equality: x = -11/2
I need this answered ASAP, thank you!
Answer:
Part A
16y = 7x + 101
Part B
3y = 5x + 30
Part C
y = -5x/3
Part D
x = -3
4x3+ 13x2 + 5x- 4 is divided by x+ 1?
Answer:
The quotient to this equation is 4x² + 13x + 1
Step-by-step explanation:
When we divide exponents, we subtract the exponential numbers.
4x³ + 13x² + 5x - 4 / x + 1
Now, we divide. For this problem, we are only dividing the like terms of x because anything divided by 1 will equal to itself.
4x² + 13x + 5 - 4
Now, we combine like terms.
4x² + 13x + 1
f(x) = -7x^2+8x+2f(x)=−7x 2 +8x+2
Answer:5
Step-by-step explanation:
This morning, Justin's car had 28.03 gallons of fuel. Now, 1.1 gallons are left. How much fuel did Justin use?
Answer:
26.93 gallons were used
Step-by-step explanation:
Subtract the amount left from the amount started with
28.03
- 1.1
----------------
26.93 gallons were used
Rejoice bought 600 oranges at 5 for GH¢3.00 to be sold at the market. On her arrival 5% of the oranges got rotten and she sold the rest at one for GH¢1.00...
I) How any oranges did she finally sell?
ii) Find her loss or profit percent.
Answer:
She finally sold 570 oranges
Profit %= 58.33%
Step-by-step explanation:
Quantity bought=600
Price=5 for GH¢3.00
Total cost price=600/5 * GH¢3.00
=120*GH¢3.00
=GH¢360.00
5% of 600 oranges got rotten
=5/100*600
=30 Oranges were rotten
I) How any oranges did she finally sell?
She finally sold
Sold oranges= Total oranges - Rotten oranges
=600-30
=570 oranges
Selling price=GH¢1.00 * 570 oranges
=GH¢570.00
ii) Find her loss or profit percent
Profit or loss percent= Selling price - cost price / cost price * 100
% profit or loss=S.P - C.P / C.P * 100
=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100
=GH¢210.00/GH¢360.00 *100
=0.5833 * 100
=58.33% profit
The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy? A. 3 B. 5 C. 15 D. 17
===================================================
How I got this answer:
j = 6 because you bought 6 bottles of juice
We use this to find the value of w
3w + 4j = 39
3w + 4(6) = 39 ... j replaced with 6 since j = 6
3w + 24 = 39
3w + 24-24 = 39-24 ... subtract 24 from both sides
3w = 15
3w/3 = 15/3 ... dividing both sides by 3
w = 5
------------
If j = 6, then w = 5
To check this, we plug both values into the equation and we should get 39 on both sides
3w + 4j = 39
3(5) + 4(6) = 39
15 + 24 = 39
39 = 39 ... true statement; answer is confirmed
please help
The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.
a. (x1,y1) = (2x + x2, 2y+y2)
b. (x1,y1) = (2x - x2, 2y - y2)
c. (x1,y1) = (x + x2, y + y2)
d. (x1,y1) = (x - x2, y - y2)
Answer:
B
Step-by-step explanation:
So this was a pretty difficult question to do algebraically so I just came up with an example.
Step-by-step explanation:
Hey,there!!!
Let's simply work with it,
We have,
One point is (x2,y2) and midpoint is(x,y).
Now, let's use midpoint formulae,
[tex](x ,\: y) = \frac{x1 + x2}{2} + \frac{y1 + y2}{2} [/tex]
Now, let's equate with their corresponding elements we get,
[tex]x = \frac{x1 + x2}{2} [/tex]
now, 2x=x1+x2
or, x1=2x-x2
and
[tex]y = \frac{y1 + y2}{2} [/tex]
now,
2y = y1+y2
or, y1 = 2y-y2
Therefore, the answer is (x1,y1)= { (2x-x2),(2y-y2) }
Hope it helps...
Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integers are included in R, but not in T?
Answer: PLEASE GIVE BRAINLIEST
72 integers
Step-by-step explanation:
Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.
The number of integers in set R that are not included in set T is 72.
Given:
Set R = {10 to 125}
Set T = {82 to 174}
To find:
number of integers in set R but not in TIntegers from 10 to 81 inclusive in set R are not in set T since set T starts from 82.
Integers in set R but not in set T = {10 to 81}
The number of integers from 10 to 81, inclusive = (81 - 10) + 1
= 71 + 1
= 72
Thus, the number of integers in set R that are not included in set T is 72.
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On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 9, negative 2), continues horizontally at y = negative 2, then has an open circle at (0, negative 2). The second line has an open circle at (0, 1), continues up with a positive slope, then has an open circle at (4, 9). The third line has an open circle at (4, negative 2), continues down with a negative slope, then has an open circle at (8, negative 4).
What is the domain indicated on the graph for each
Answer: D: x = (-9, 0) U (0, 4) U (4, 8)
Step-by-step explanation:
Line 1: y = -2 where -9 < x < 0
Line 2: y = 2)x + 1 where 0 < x < 4
Line 3: y = -(1/2)x + 6 where 4 < x < 8
Domain represents the x-values. Since all of them are open dots, the intervals are strictly less than (<).
-9 < x < 0 and 0 < x < 4 and 4 < x < 8 is the union of these intervals
-9 < x < 0 U 0 < x < 4 U 4 < x < 8
Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)
Answer:
1st piece:
✔ –10 < x < 0
2nd piece:
✔ 0 < x < 4
3rd piece:
✔ 4 < x < 8
Step-by-step explanation:
can u help me with this problem
Answer:
$4.20
Step-by-step explanation:
y = .05x (using stat on calculator)
y = .05(84)
$4.20
when would you write an x in an equation?)
Answer:
[tex]\Large \boxed{\mathrm{When \ a \ number \ is \ not \ known}}[/tex]
Step-by-step explanation:
For example, a sum of a number and 6 is 12.
The number is unknown.
Let the number be x.
x + 6 = 12We can solve for x (unknown number). Subtract 6 from both sides of the equation.
x = 6Nadiya determines that there are no fractions equivalent to StartFraction 2 Over 10 EndFraction with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is Nadiya correct?
Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to StartFraction 2 Over 10 EndFraction is StartFraction 4 Over 20 EndFraction.
Yes, Nadiya is correct. By multiplying the whole fraction by any whole number, each equivalent fraction will continue to have a denominator of 10.
No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to StartFraction 2 Over 10 EndFraction by 3 and arrive at the equivalent fraction StartFraction 3 Over 15 EndFraction.
No, Nadiya is incorrect. She could add any number between 1 and 8 to the numerator and denominator and arrive at an equivalent fraction with a denominator greater than 10 but less than 20.
Answer:
3 Over 15
Step-by-step explanation:
i got 100.
Answer:
yes
Step-by-step explanation:
it is c,
Solve for xxx. 12x+7 4012x+7 4012, x, plus, 7, is less than, minus, 11, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, 5, x, minus, 8, is greater than, 40 Choose 1 answer: Choose 1 answer: (Choice A) A x \dfrac{48}{5}x> 5 48 x, is greater than, start fraction, 48, divided by, 5, end fraction (Choice B) B -\dfrac32 \dfrac32x> 2 3 x, is greater than, start fraction, 3, divided by, 2, end fraction or x<\dfrac{48}{5}x< 5 48 x, is less than, start fraction, 48, divided by, 5, end fraction (Choice D) D There are no solutions
Answer:
x < -3/2 and x>48/5Step-by-step explanation:
Given the inequality function 12x+7< -11 and 5x-8>40, we are to solve for the value of x. To solve for x, the following steps must be followed.
For the inequality 12x+7< -11
Step 1: Subtract 7 from both sides of the inequality
12x+7-7< -11-7
12x < -18
Step 2: Divide both sides of the inequality by 12
12x/12 < -18/12
x < -3/2 .............. 1
For the inequality 5x-8> 40;
Step 1: Add 8 to both sides of the inequality
5x-8+8 > 40+8
5x > 48
Step 2: Divide both sides of the inequality by 5
5x/5 > 48/5
x>48/5....... 2
Combining equation 1 and 2, we will have;
x < -3/2 and x>48/5
If x>48/5 then 48/5<x
Combining 48/5<x with x < -3/2 will give 48/5<x<-3/2
Answer:
there are no soulutions
Step-by-step explanation:
Which expressions are equivalent to 7×7×7×7×7×7 choose two answers:
Answer:
7^6 =A, C
Step-by-step explanation:
The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³ thus option (A) and (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
7×7×7×7×7×7 = 7⁶
Now, in option (A),
7⁸/7² = 7⁸ ⁻ ² = 7⁶
In option (C)
(7²)³ = 7² ˣ ³ = 7⁶
Hence "The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³".
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[tex] \frac{ {x}^{2} + 4x + 5 }{ {x}^{2} + 3 \sqrt{x + 4} } [/tex]
Hi
is this a rational expression or not pls reply asap
Answer:
NOT a rational expression.
Step-by-step explanation:
A rational expression is a fraction of two polynomials.
Since the denominator contains a square-root radical, it is not considered a polynomial.
Therefore the given exprssion is NOT a rational expression.
the points (-2,1), (1,1), (0,-2), and (-3,-2) are vertices of a polygon. what type of polygon is formed by these points? A. rectangle B. square C. pentagon D. parallelogram
Answer:
[tex]\boxed{\sf D. \ Parallelogram}[/tex]
Step-by-step explanation:
When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.
Answer:
Parallelogram
Step-by-step explanation:
We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.
See the attached file for more understanding.
Which parent function is f(x)= |3|
A. The quadratic parent function
B.The linear parent function
C. An exponential parent function
D. The absolute value parent function
Answer:
D. Absolute value parent function
we can know fro the symbol |x| in the question written f(x)= |3|
Which fractions are equal to 0.375?
Answer:
375/ 1000
Step-by-step explanation:
it is technically correct
Step-by-step explanation:
Convert 0.375 to a simplified fraction by setting up our equation like this:
[tex]\frac{375}{1000} =\frac{x}{y}[/tex]
Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.
[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]
Our simplified fraction: 3/8.
To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).
Some fractions equal to 0.375:
[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]
I hope I've helped you out!
HELP!!!Where does the graph of y = sin x from x = 0 to x = 2π start? A. at its minimum B. at an x–intercept C. at its maximum D. between an x–intercept and its maximum
Answer:
B. at an x–intercept
Step-by-step explanation:
You can find a graph of the sine function in numerous places.
y = sin(0) = 0
y = 0 for x = 0
so, on the given interval, it starts at an x-intercept.
Is this right or is it 25 inches/something else ?
Hey there! I'm happy to help!
First, let's find the length of GA. We can just subtract all of the other sides from the perimeter to find this.
172-56-56-35=25
We see that E'M' is 14 and EM is 35.
35/14=2.5
This means that all of the sides on the big pinball machine are 2.5 times bigger than those of the smaller one.
So, we take the length of GA and then divide it by 2.5 to see how big G'A' is.
25/2.5=10
Therefore, the length of G'A' is 10 inches.
I hope that this helps! Have a wonderful day! :D
If AB = 45, find the length of AJ.
Answer:
AB= 45 --> In 1st space untill 5th space
So, 45/5 = 9 unit each space
AJ ?
Using 2 space 1st until 2nd
so, 9 unit × 2 = 18 unit
I hope this helps^_^
Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6
Answer:
38.5 miles
Step-by-step explanation:
Proportions:
4 inches ⇔ 10 miles
15.4 inches ⇔ M miles
M = 15.4*10/4
M = 38.5 miles
Answer: 38.5
Step-by-step explanation: cuz im smart
Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text. She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional. What is the weight of the 2 liter jug?
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
The answer is 3kg!
Step-by-step explanation:
To determine the price of servicing a car, a
mechanic charges a fixed fee plus an hourly
rate for each hour he works. If his price for
4 hours of service is $270, and his price for
7 hours of work is $420, what is the fixed fee
that the mechanic charges?
E. $50
F. $60
G. $70
H. $120
Answer:
G. $70
Step-by-step explanation:
$420 for 7 hours
$270 for 4 hours
Each of the above already includes the fixed fee.
Now we subtract the bottom line from the top line:
$420 - $270 = $150
$7 hours - 4 hours = 3 hours
$150/3 hours = $50/hour
For 4 hours, the hourly fee is $50/hour * 4 hours = $200.
Since the total charge for 4 hours is $270, then fixed fee is
$270 - $200 = $70
Answer: $70
The fixed fee that the mechanic charges is $70. Therefore, option G is the correct answer.
Given that, a mechanic charges a fixed fee plus an hourly rate for each hour he works. He charges $420 for 7 hours and $270 for 4 hours.
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 =.
Let the mechanic charges x dollars per an hour.
The difference in the charges = $420 - $270 = $150
Difference in the hours = 7 hours - 4 hours = 3 hours
Now, x=150/3 = 50
So, $50 per hour is the mechanic charges for service.
For 4 hours, the hourly fee is 50 × 4 = $200.
Since the total charge for 4 hours is $270, then fixed fee is
$270 - $200 = $70
The fixed fee that the mechanic charges is $70. Therefore, option G is the correct answer.
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