In the case of multiplication in exponents, if the numbers are the same, their exponents are added.
7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.
3.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3
need some help
Answer:
a) k(x) = 5x - 2
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
k-¹(x) = (x+2)/5
b) h(x) = (x+10)/(x-3)
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
h-¹(x) = (3x+10)/(x-1)
The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.
Answer:
c. Town B has a population of approximately 5,138.
Step-by-step explanation:
sorry its late
Based on the population density, town B has a population of approximately 5138; option C
What is population density?Population density is the ratio of the total population of a place and the area of the place.
Population density = population/areaPopulation density of A = 54016/3.89 = 138885.86 per square miles
Population density of B = 138885.86 per square miles
Population of B = 138885.86 × 0.37 = 5138
Therefore, town B has a population of approximately 5138.
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please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick
Answer:
y>-2
Step-by-step explanation:
her mistake was she did -22-6= -28 but the correct solution is -22+6= -16
please help i need help ASAP
Answer:
118
Step-by-step explanation:
62+x=180
x=180-62
x=118
Select all the statements that describe the distribution of the data
3y - 2x = -15 and x = -6y
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66
The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
How to find the net asset value?The net asset value is the difference of total asset value of the company to the total liabilities value of that company.
Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.
Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.
To find the net asset for this case, divide the profit with the number of shares and the higher price in that.
[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]
Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
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use prime factorisation to find the hcf of 612 and 1314
Answer:
Step-by-step explanation:
612: 2*2* 3 * 3 * 17
1314: 2* 3 * 3 * 73
The highest common factor is 2 * 3 * 3 = 18
17 and 73 are both prime, so the factoring stops there.
base radius of 7cm and height of 35cm what is the cylinder's volume
Answer:
5390 cm³Step-by-step explanation:
It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.
We must know this formula :
⇒ Volume(Cylinder) = πr²hWe will take the value of π as 22/7Now substituting the values :
⇒ Volume(Cylinder) = 22/7 × (7)² × 35
⇒ Volume(Cylinder) = 22/7 × 49 × 35
⇒ Volume(Cylinder) = 22 × 7 × 35
⇒ Volume(Cylinder) = 22 × 245
⇒ Volume(Cylinder) = 5390
Therefore,
The volume of the cylinder is 5390 cm³What is the value of k?
60.80
70.80
...... ................ .......
The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?
Find the area of the rectangle.
Answer: 5.6ft²
Step-by-step explanation:
Area of a rectangle = length x width
= [tex]\frac{4}{5} ft[/tex] (7ft)
= [tex]\frac{28}{5}ft^{2}[/tex]
= 5.6ft²
Solve the equation and enter the value of x below.
8x + 11 = 35
8x + 11 - 11 = 35 - 11
8x = 24
x = 24/8
x = 3
check
8 * 3 + 11 = 24 + 11 = 35
Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).
The [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
It is given that the triangular prism net showing in the figure with dimensions.
It is required to find which equation can be used to find the surface area of the triangular prism net.
What is surface area?It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.
We know the area of a rectangle = length × width
Area of the top rectangle = 13×10
Area of the middle rectangle = 12×10
Area of bottom rectangle= 5×10
The formula for finding the area of a triangle:
[tex]\rm A=\frac{1}{2} \times bh[/tex]
Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
The surface area = Area of top+ Area of middle+ Area of bottom+ Area of
a right triangle+ Area of the left triangle
[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]
Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
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Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40
The value of cos(x) that supports Steve's claim is 1/√10
SOH CAH TOA identityGiven the following trigonometry identity
tan(x) = 3
According to the theorem;
tan x = opposite/adjacent = 3/1
Opposite = 3
Adjacent = 1
Determine the hypotenuse
hyp = √3² + 1²
hyp = √10
Since cos(x) = adj/hyp
cos(x) = 1/√10
Hence the value of cos(x) that supports Steve's claim is 1/√10
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i dont know what to say anymore just help
HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 ft
Step-by-step explanation:
5 1/6 + 4 5/6 = 10
5 + 4 = 9
1/6 + 5/6 = 6/6 = 1
9 + 1 = 10
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
I do not understand this
Answer:
D. 2 (1/3) hours
Step-by-step explanation:
'Of' means multiplication, so we are going to multiply
3 (1/2) x (2/3) = 2 (1/3)
or
3.5 x 0.66 = 2.333
I hope this helps!
8 nickels 12 pennies?
Answer:
52 cents :)
Step-by-step explanation:
Nickel: 5 cents
Penny: 1 cent
5 x 8 = 40
12 x 1 = 12
40 + 12 = 52
Have an amazing day!!!
Please rate and mark brainliest!!
Write a numerical expression to represent the phrase.
the difference of 4 cubed and 25
Hello!
First, "the difference" of 2 numbers means you subtract these numbers.
Then, 4 cubed is written as follows:
4³
Subtract:
4³-25
[If necessary] Evaluate:
64-25
39
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
please help me write quadratic equation given the roots and the leading coefficient
Answer:
Example Question: f(x) = 2x^2 + 2x - 1
If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)
Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)
To find the vertex, simply imput the axis of symmetry into the given equation.
And that’s about it.
Step-by-step explanation:
I don’t know what you’re asking for??
find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
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CHOOSE THE CORRECT ANSWER
HELP ASAP
(will give brainliest)!
Answer:
42°
Step-by-step explanation:
∠NML = ∠ZYX =88°
Angles in a triangle add up to 180 so ∠ZXY =
180 - (50+88)
180-138
42
∠ZXY = 42°
Find the 9th term of the geometric sequence.
Answer:
7/6561
Step-by-step explanation:
nth term = a1 r^(n-1) so
9th term = 7* (1/3)^(9-1)
= 7*(1/3)^8
= 7/6561
What is the area of ABC?
Answer:
C 10
Step-by-step explanation:
Heron's formula to calculate the area of a triangle based on 3 sides :
p (half the perimeter) = (a+b+c)/2
area = sqrt(p(p-a)(p-b)(p-c))
AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)
AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)
BC = b = sqrt(2² + 4²) = 2×sqrt(5)
p = 2×sqrt(5) + sqrt(10)
area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =
= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =
= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10
Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.
Answer: See below
Step-by-step explanation:
4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)
5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)
6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]
[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]
[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]
7) No, there are no outliers in the data set
help using the digits 0 to 9
Answer:
Step-by-step explanation:
Assuming you can use any digit from 0-9
You can do 5% of 260 = 13 . All of which are different digits and not the same
This is true because 260 x .05 = 13
please help with this question
Answer:
your answer is 1,-2
Step-by-step explanation: