Inequality:
3r + 24 ≥ 100
Will the students have a party if Mrs. Morton rewards them 31 additional times?
Yes
Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?
Explain your thinking here:
write your answer here:
Answer:
10
Step-by-step explanation:
3+2 = 5
5x2 (Because only half cups)
= 10
100 POINTS
PLEASE PROVIDE STEPS.
THANK YOU!!!
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
f(x) = sin x
The average value of a function between x=a and x=b is:
avg = 1/(b−a) ∫ₐᵇ f(x) dx
avg = 1/(π−0) ∫₀ᵖⁱ sin x dx
avg = 1/π (-cos x) |₀ᵖⁱ
avg = 1/π (-cos π − (-cos 0))
avg = 1/π (1 + 1)
avg = 2/π
h(x) = x⁴/12 − x²/6
Find the second derivative.
h'(x) = x³/3 − x/3
h"(x) = x² − ⅓
Factor using difference of squares.
h"(x) = (x − 1/√3) (x + 1/√3)
h"(x) = 0 when x = ±1/√3. Evaluate the sign of h"(x) in each interval.
-∞ < x < -1/√3, h"(x) > 0.
-1/√3 < x < 1/√3, h"(x) < 0.
1/√3 < x < ∞, h"(x) > 0.
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
3, 4 and 55, 12 and 139, 40 and 41Note that in a Pythagorean Triple,
The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.
2x + 3y = 12
Complete the missing value in the solution to the equation.
,8)
If a pair of standard dice are rolled,
what is the probability that at least
one die shows a 5?
?
Answer:
The correct answer is 11/36
Step-by-step explanation:
The probability that at least one die shows a '5' is 11/36.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Here, a pair of standard dice are rolled.
Therefore, the total number of combinations of two dice is = 6² = 36.
The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)
Therefore, the total number of cases at which one die shows a '5' is = 11.
Therefore, the required probability of the given event is
= 11/36
Learn more about the probability of an event here: https://brainly.com/question/9548010
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if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
Can someone help me please
What’s the correct answer for this? Select the ones that apply
Answer:
A: -2
B: -10
Step-by-step explanation:
A: the slope of line b is -2
B: Point: (-6,2)
So x= -6 and y = 2
Putting in slope intercept formula for finding b
y=mx+b
2=(-2)(-6)+b
2= 12 + b
b = 2-12
b= -10
The y-intercept of line b is -10
4 ÷ 1/5 = 20 because
Step-by-step explanation:
BECAUUUUSE ;
[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]
Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.
Step-by-step explanation:
4 ➗ 1/5
4 x 5/1=20
What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs
Answer: C you pay fee fewer upfront cost
Step-by-step explanation:
Which equation describes a line
that passes through (0, 3) and is
perpendicular to the line described
by y = -5x - 4?
Answer:
A line has equation y = ax + b, perpendicular to the line y = -5x - 4
=> a x (-5) = -1 => a = 1/5.
This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3
=> Equation of this line: y = (1/5)x + 3
Hope this helps!
:)
The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Given is a line that passes through (0, 3) and is perpendicular to the
line → y = - 5x - 4
Since the line is perpendicular to the line → y = - 5x - 4. We can write -
m[L] = -1/-5
m[L] = 1/5
Assume that the equation of the line is -
y = m[L]x + c
y = x/5 + c
Since the line passes through the point (0, 3), we can write -
3 = 0 + c
c = 3
The final equation of the line will be -
y = x/5 + 3
Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
To solve more questions on Straight lines, visit the link below-
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A 24 ounce box of cornflakes costs $4.59 the question is find the unit rate off the nearest cent per ounce. Compare.
Answer$5.22
Step-by-step explanation:
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
Step-by-step explanation:
-6x + 6y = -12
6x + 6y = -36
12y = -48
y = -4
3x - 12 = -18
3x = -6
x = -2
(-2, -4)
I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)
Answer: (-4,-18)
Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.
The vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
What is the vertex of the graph of a quadratic function?In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,
Given that:
f(x) = x² + 8x - 2
where;
a = 1b = 8c = - 2By using the vertex formula to find the x-value;
[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]
[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]
x = -4
So,
y = (-4)² + 8(-4) - 2
y = 16 -32 -2
y = -18
Therefore, the vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
Learn more about the vertex of the graph function here:
https://brainly.com/question/1305555
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Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
What is the equation of the line passing through the points two (2,-1) and (5,-10) in slope intercept form
Answer:
y=-3x+b
Step-by-step explanation:
Find slope
-1-(-10)/2-5
9/-3
-3 is slope
y=-3x+b
substitute (2,-1)
-1=6+b
b=-7
y=-3x-7
angle relationships with parallel lines
Answer: 136°
Step-by-step explanation:
In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.
180°=44°+x°
x=136°
The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.
Answer:
Length is 3 meters and the Width is 5 meters
Step-by-step explanation:
L*W=15
L=2W-7
(2W-7)W=15
[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]
(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.
W=5, L=3
Plz help me find the area of this polygon
Answer:
It is 4
Step-by-step explanation: To find the area you multiply the numbers.
If 2 pounds of steak can serve 5 people how many pounds will serve 13 people
Step-by-step explanation:
wait sorry that was wrong
Answer:
5.2
Step-by-step explanation:
The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
Is z = 5 in the solution set of the inequality 6z > 15
YES
OR
NAA
Answer:
Yes
Step-by-step explanation:
6z > 15
z > 15/6
z > 2.5
So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.
g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer
Answer:
32
Step-by-step explanation:
g(x) = 4x² - 3x + 7
g(3) = 4(3)² - 3(3) + 7
g(3) = 4(9) - 9 + 7
g(3) = 36 - 9 + 7
g(3) = 25 + 7
g(3) = 32
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simplified result is 1718
17
18
. Find the original fraction. (Do NOT simplify.)
Answer:
[tex]\dfrac{40}{42}[/tex]
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
[tex]\dfrac{x}{x+2}[/tex]
If both numerator and denominator are decreased by six, the fraction becomes:
[tex]\dfrac{x-6}{x+2-6}[/tex]
The simplified result is [tex]\dfrac{17}{18}[/tex]
Therefore:
[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]
Substituting x=40 into the initial fraction
[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]
Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]
Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction? StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction) Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Answer:
[tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]
Step-by-step explanation:
The first step is to convert the mixed number to an improper fraction.
[tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]
Answer:
it's a
Step-by-step explanation:it's what the guy above me said
Tessa and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
The amount of water is each balloon should be:
A = 6/20 =0.3 liters
Hope this helps!
:)
Answer:
0.3
Step-by-step explanation:
.
Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?
Answer: y=10x+25
y=10(7)+25
=70+25
=$95
Step-by-step explanation:
749÷7 using partial quotients
Answer:107
Step-by-step explanation:
749 ➗ 7=107
