What is 88 3/4 rounded to the nearest whole number
Answer:
89
Step-by-step explanation:
df fd
Which equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2h equatWhich equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2ion represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2
Answer:
(c) f(x) = 500(5^x)
Step-by-step explanation:
An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.
__
Examine the ChoicesYou are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.
f(x) = 100(5)^x ⇒ f(0) = 100·1 = 100 ≠ 500
f(x) = 100(x^5) . . . not an exponential function
f(x) = 500(5)^x ⇒ f(0) = 500·1 = 500 . . . . . the function you're seeking
f(x) = 500(x^2) . . . not an exponential function
Answer:
a
Step-by-step explanation:
Choose the set of numbers with an average of 8.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20
Answer:
B
Step-by-step explanation:
A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect
B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct
C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect
Find the 20th item of the following sequence. -6, -4, -2, 0, ...
Answer: 32.
Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:
-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.
Let me know if this is right! :)
how many cubic inches of hot air would be needed to completely inflate a 12 in diameter beach ball
Answer:
904.78 cubic inches
Step-by-step explanation:
Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.
Hopefully this helps- let me know if you have any questions!
what is the effect on the graph of y=-2x+7 if the slope changes to 2
Find all the factors of 12.
A) 2, 3, 4, 6
B) 2, 3, 4, 6, 12
C) 1, 2, 3, 4, 6, 12
Answer:
1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or each of those is a counting number that can be multiplied by another counting number to make 12).
Step-by-step explanation:
hope this helps.
13. The diagram shows the support bracket for a restaurant sign. AB=60 cm, AC=109 cm and ZBAD=41°. A 41° 109 cm 60 cm NOT TO SCALE B С D THE BROTHERS CONCH DINNERS Calculate (a) the length of BC [3] [3] (b) the angle C (c) [3] the length of AD
Answer:
(a) BC = 91 cm
(b) ∠C = 33.4° (nearest tenth)
(c) AD = 79.5 cm (nearest tenth)
Step-by-step explanation:
(a) Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AB = 60 cmb = BCc = AC = 109 cm⇒ 60² + BC² = 109²
⇒ 3600 + BC² = 11881
⇒ BC² = 11881 - 3600
⇒ BC² = 8281
⇒ BC = √(8281)
⇒ BC = 91 cm
(b) Sine rule to find an angle:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Given:
∠B = 90°b = AC = 109 cmc = AB = 60 cm[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]
[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]
[tex]\implies \sin C=\dfrac{60}{109}[/tex]
[tex]\implies C=33.39848847...\textdegree[/tex]
[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]
(c) Sine rule to find a side length:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Sum of interior angles of a triangle = 180°
Given:
∠B = 90°b = AD∠D= 180° - 41° - 90° = 49°d = AB = 60 cm[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=79.5007796...[/tex]
[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]
A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.
The area of the scale drawing given the scale of the square is 64cm^2.
What is the area of the scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
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.
Question 7 of 11
Two angles in a triangle have measures of 13' and 65.
What is the measure of the third angle?
A 52
B. 102
C. 78
D. 143
SUBMIT
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
and solve it
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
How do you solve this?
2sinXcosX=sinX
You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.
Question 1
Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
How to determine the function (fg)(x)?The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
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Can i have help on #3 and #2? Thanks<3
Answer:
I don't know if these are right
2.756
3. 1,426.42
What are the x-intercepts of this conic section?
(−3, 0) and (3, 0)
no x-intercepts
(0, −3) and (0, 3)
(−3, 3) and (3, −3)
Answer:
(x, y) = (-3, 0) and (3, 0)
Step-by-step explanation:
The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.
This graph crosses the x-axis at x = ±3. The x-inercepts are ...
(x, y) = (-3, 0) and (3, 0)
The table below shows part of the operating budget of a small dairy farm for last year. The only expense not listed in the table is maintenance. Food = 1/3 housing = 1/3 medical care = 1/4 .This year,the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical care the same.Again,the remaining portion of the budget will be for maintenance expenses.What is the difference between the fraction of the budget for maintenance this year and last year?
The difference between the fraction of the budget for maintenance this year and last year is 5/24.
What is the difference?The first step is to determine the fraction of the budget used for maintenance last year.
Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)
1 - 11/12 = 1/12
The second is to determine the fraction of the budget used for maintenance this year.
Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)
1 - 17/24 = 7/24
The difference = 7/24 - 1/12
= 5/24
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The regular price of a color TV is $539.22. During a sale, Hill TV is selling the TV for $456.56. Determine the percent decrease in the price of the TV
Hey there!
Answer: = 15.3296% decrease
How to Calculate Percentage Decrease
Subtract starting value minus final value=> 539.22 - 456.56
=> 79.66
Divide that amount by the absolute value of the starting value=> 79.66 ÷ 539.22
=> 0.153296
Multiply by 100 to get percent decrease=> 0.153296 × 100
=> 15.3296%
If the percentage is negative, it means there was an increase and not an decrease.
Therefore, percentage decrease is 15.3%
Please help me .................
that is correct
Step-by-step explanation:
Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?
2
3
4
5
Answer:
4 years
Explanation:
[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]
[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]
[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]
[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]
[tex]\hookrightarrow \sf t = 4[/tex]
Answer:
The time will be 4 years .
Step-by-step explanation:
Given :
Simple Interest = $600
Principle = $5,000
Rate = 3%
Time = ?
Formula for Simple Interest = P×R×T / 100
=> 5,000 × 3 × T / 100 = 600
=> T = 60,000 / 5,000×3
=> T = 60,000/15000
=> T = 4 years
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
If x = 9 units , y = 3 units , and h= 11 units what is the area of the trapezoid
Hey there!
Your area of a trapezoid
a = a + b / 2(h)
area = base + base / 2(height)
YOUR EQUATION:
area = 9 + 3 / 2(11)
area = 12/2(11)
area = 6(11)
area = 66
Thus, your answer is probably: 66
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4
Answer:
y=4x+2
Step-by-step explanation:
Hi there!
We are given that a line has a y intercept of 2, and a slope of 4
We want to write the equation of that line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.
First, substitute 2 as the y intercept (b)
y=mx+2
Now substitute 4 as the slope (m)
y=4x+2
We have found the equation of the line.
Hope this helps!
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simplify the expression 30x^6/3x^-2
Answer:
[tex]30x^{4}[/tex]
Step-by-step explanation:
Help help help help math
Answer:
It's 77, the absolute value bars will just make the number positive
Step-by-step explanation:
Find x in circle O (The figure is not drawn to scale)
Answer:
20.5 degrees
Step-by-step explanation:
So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.
So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.
Now that center line is the diameter, which means it is 180 degrees
So you can find the angle of line OA and OB:
180 - 41 = 139
Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.
This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:
180-139 = 41
And then divide by two to find the remaining two angles:
41/2 = 20.5
and that is x :)
At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.
What is the change in temperature from 2:00 PM to 10:00 PM?
Answer:
To figure out the change, we subtract the original temperature by the following after temperature.
18°F - original
-9°F - subsequent time after original
So we set up the equation;
18°F - (-9°F)
(Two negatives combine to form a positive)
18°F + 9°F
= 27°F was the change in temperature.
The change in temperature from 2:00 PM to 10:00 PM is -27° F.
What is Temperature?Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.
Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.
Temperature is usually measured in degree Celsius or degree Fahreheit.
Temperature at 2:00 PM = 18° F
Temperature at 10:00 PM = -9° F
Change in temperature = Final temperature - Initial temperature
= -9° F - 18° F
= -27° F
Hence, the change in temperature can be calculated as -27° F.
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Find angles B, E, C, and D, given that angle m A=140° and m F=130°.
*Picture is not drawn to scale*
Answer:
Angle B=40 degrees
Angle C= 90 degrees
Angle E=50 degrees
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these answer- I am sure they ar correct
The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)
Answer:
the answer is answer nice answer my answer
Step-by-step explanation:
if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer
Read the question and enter your response in the box prc
How do you write an equivalent expression -1/4(-8x+12y