Step-by-step explanation:
1 Divide both sides by 33.
\frac{21}{3}=xv
3
21
=xv
2 Simplify \frac{21}{3}
3
21
to 77.
7=xv
7=xv
3 Divide both sides by vv.
\frac{7}{v}=x
v
7
=x
4 Switch sides.
x=\frac{7}{v}
x=
v
7
Done
For which function is the average rate of change over the interval 1 < x < 5 greater than the average rate of change over the same interval for the function g(x) = 1. 8x2?
The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2
How to calculate average rate?
The average rate is a measure of how quickly a quantity changes over a specific period of time. It can be calculated by dividing the change in the quantity by the change in time. The formula for calculating the average rate is:
Average rate = (final value - initial value) / (final time - initial time)
Given a function y, the average rate of change S of y = f(x) in an interval (Xs, Xf) will be given by the following equation:
In this problem, we have that:
Interval (1,5), so
Then
S = f(5) - f(1)/4
All options are compared to g(x).
g(5) = 1.8*(5)^2 = 45
g(1) = 1.8*(1)^2 = 1.8
An average rate of change greater than 10.8.
D.=k(x) = 2x^2
k(5) = 2*(5)^2 = 50
k(1) = 2*(1)^2 = 2
Greater than 10.8, this is the answer.
Hence, The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2
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If juice boxes come in packs of 12 and we need to buy enough for 189 students. How many packs of juice boxes do we need to buy?
Answer:
16
Step-by-step explanation:
189/12=15.75
15.75packs for all 189 student,rounded up since we can’t buy0.75packs. So the answer is 16 packs
Answer:
its 12 ÷ 189=15 packs
Step-by-step explanation:
15 r15
how is a ball dropped from a roof interesting ?
Answer:
because it will bounce high and hit something.
Step-by-step explanation:
I WILL GIVE BRAINLY! PLEASE HELP!
3x + 1 over 4y2
What is the value of the expression above when x = 3 and y = 4?
Answer:
he expression is undefined where the denominator equals
0
, the argument of an even indexed radical is less than
0
, or the argument of a logarithm is less than or equal to
0
.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation:
circumference of the circle. if the radius is 7.1mm
Answer: C≈44.61mm
Step-by-step explanation:
9,16,21
is a right triangle
Answer: Yes
Step-by-step explanation:
a right triangle is ... 9, 12, 15, 40, 41. 10, 24, 26. 12, 16, 12, 35, 37. 14, 48, 50. 15, 20, 25. 15, 36, 39. 16, 30, 34. 18, 24, 21, 29, 28, 35, 32, 40. 27, 36, 45. 40, 50
What is 2 point midpoint?
The 2-point midpoint formula is a method for finding the equation of a line that passes through the midpoint of two given points.
The formula for the 2-point midpoint is:
y - y1 = m(x - x1)Where (x1, y1) and (x2, y2) are the two given points, and m is the slope of the line.
The slope of line is calculated by (y2-y1)/(x2-x1)
By using the midpoint of two given points, the 2-point midpoint formula eliminates the need for calculating the y-intercept of the line, which can save time and effort. It is particularly useful when working with geometric figures or real-world applications that involve moving objects or changing data. It also helps in predicting the values of future point when we know the past point.
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simplify when x=4 4x/2x^2
Answer:
1/2
Step-by-step explanation:
Did you mean "evaluate?"
Write out the expression
4x/2x^2
and simplify it:
4x 2
---------- = ---------- after reduction
2x^2 x
Now substitute 4 for x. We obtain:
2/4 = 1/2
Uriah buys 5 reams of paper and 3 ink cartridges for $131. Yasmine buys 2 reams of paper and 5 ink cartridges for $174. How much does one ream of
paper cost? How much does one ink cartridge cost?
Answer:
uriah reams cost $26.2 and uriah's ink cost $43.6,for yasmine's reams it costs $87 and for the ink it costs $34.8
Step-by-step explanation:
hopefully it helps:)
The product of two rational number is -9 . if one of the numbers is -12, find the other
Answer:
3
Step-by-step explanation:
because x + (-12) =-9
so x= -9 +12
x = 3
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.
The number of hours of practice is 3 x h or 3h.
What is the number of hours of practice?In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.
Given:
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.
Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.
The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.
Number of hours of practice
= hours of practice x number of practice
= 3 x h
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Write (−13)⋅(−13)⋅(−13)⋅(−13)⋅(−13) using exponents. Fastttttttttttttttttttttttttttttttt
Answer:
.l,´mfkf jh h
Step-by-step explanation:
Answer:
-13 to the fifth power.
Choose the graph that represents the equation y = –|x – 1|.
What is the value of the discriminant of the given equation 2x^2 4x 3?
The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.
The standard form of quadratic equation is ax² + bx + c = 0
Compare the given equation with its standard form
a = 2, b = -4, c = 3
We know that
D = b² - 4ac
Substitute the values in the formula
D = (-4)² - 4(2)(3)
⇒ D = 16 - 24
⇒ D = -8
Since D < 0
Therefore, the given equation has no real roots.
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Determine the period
A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales
Popcorn Cost ($)
Number Sold
Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn?
In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.
What are mathematical operations?An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales Popcorn Cost ($) Number Sold Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks of total buttered popcorn, he will make the sale
= $11 * (8*12 + 9)
= 11 * (96 + 9)
= $1,155
After 12 weeks of total caramel popcorn, he will make the sale
= $11 * (6*12 - 1)
= $11* (71)
=$781
In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374
Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.
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Solve the inequality. Graph the solution.
-1/3h > or equal to 8
(step by step equation)
We can solve the inequality to get:
h ≤ -3
And its graph can be seen below.
How to solve the inequality?Here we have the following inequality:
-(1/3)*h ≥ 8
To solve the inequality, we need to isolate h.
So we can multiply both sides by -3 (notice that this will change the sign of the inequality symbol)
So we will get:
-3*(-1/3)*h ≤ -3*h
h ≤ -3
Now to graph this, we need to draw a closed circle at -3, and draw an arrow that gose to the left.
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Rewrite 21/3 as a whole number
Answer:
7
Step-by-step explanation:
As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
21/3 = 7
The volume of a cylinder is 24 cubic feet. The height is 6 feet.
Determine the radius of the cylinder. Use 3.14 for pi.
Answer:
1.13 ft
Step-by-step explanation:
use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.
Please help I will give you brainiest!!!
Find the x- and y-intercepts if the graph of -9x+2y=14. State your answers as whole numbers or as improper fractions in simplest form.
9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
__
To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
Vaughn is calculating the volume of the cylinder below using the following work.
A cylinder with height of 24 centimeters and diameter of 5 centimeters.
What was Vaughn’s first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and 5.
He used the wrong units in his final answer.
Answer:
the answer is a) he was confused the height
Step-by-step explanation:
Answer:
(A)Step-by-step explanation:
(A) He confused the height and the diameter.
JUST ONE MORE PLZ! THANK YOU BTW
Answer:
Sorry, it's actually the third one, 4.8 feet
Step-by-step explanation:
First, you divide the length of the family room tv by the length of the tv in Louise's room
5 divided by 1.5 equals 3.33
Then, you divide the width of the family room tv to get the width of Louise's tv
3 divided by 3.33 is 0.9
Now, you follow the formula for perimeter.
(0.9 + 1.5) x 2 = 4.8
The perimeter of Louise's tv is 4.8 feet.
Answer:
H. 4.8 ftStep-by-step explanation:
Similar figures have same ratio of corresponding sides.
The scale factor is:
1.5/ 5 = 3/10The width of the smaller television is:
3*3/10 = 9/10 = 0.9Perimeter:
P = 2(w + l)P = 2(1.5 + 0.9) = 4.8 ftCorrect choice is H
x +96 > 12 solving inequalities
The solution to the inequality expression is x > -84
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x +96 > 12
Subtract 96 from both sides of the inequality expression
So, we have the following representation
- 96 + x +96 > 12 - 96
Evaluate the like terms
x > -84
Hence, the solution is x > -84
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You Roll A Six-Sided Die Twice . What Is The Probability Of Rolling A 2 And Then A 6
A.1/3
B.1/6
C.1/12
D.1/36
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
yo
Step-by-step explanation:
Brenna owns 9 T-shirts, 3 of which are red.
If Brenna randomly selects a T-shirt to wear, what is the probability it will be red?
Answer:
1/3
Step-by-step explanation:
9 Shirts, 3 are Red
Probability: 3/9
Simplify: 1/3
sandwiches are being bought bye us--passive to active
What is the equation of the line in
point-slope form that passes through the
points (-1, 1) and (1, -2)?
Answer:
A) y-1=-3/2(x+1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-1)/(1-(-1))
m=-3/(1+1)
m=-3/2
y-y1=m(x-x1)
y-1=-3/2(x-(-1))
y-1=-3/2(x+1)
I need the answer to this question please!
The equivalent expression of 5[tex]x^{3/2}[/tex] is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5[tex]x^{3/2}[/tex]
To find the equivalent expression:
We have to simplify the expression,
5[tex]x^{3.1/2}[/tex]
= 5(x³)[tex]){1/2}[/tex]
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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Please help meeeeeeeee
Answer:
24 units²
Step-by-step explanation:
Surface area of a cube = 6a² , where a = the side given
=> 6(2)²
=> 6(4)
=> 24 units²
Hope this helps!
Answer:
2(length) x 2(width) = 4(area of 1 square),
4(area of one square) x 6(there are six sides of a cube) = 24 squared