Length of side of base is 5.45
Step-by-step explanation:
Step 1: Volume of a right prism = Area of the base × Height = 1/2 × base × height of base × height of prismHere, since the base is an equilateral triangle and it is given that height of the prism is equal to that of the base, measures of base and height are equal.
⇒ Volume = 1/2 × b × h × h (b and h are equal)
⇒ 81 = 1/2 × b³
⇒ b³ = 162
⇒ b = ∛162 = 5.45
40 POINTS !!!A poll shows that 70% of teenagers in the United States use social media. A random sample of 30 teenagers showed that 90% of them use social media. A number generator was used to simulate 30 samples from a population in which 70% of teenagers use social media. The results are shown in the dot plot.
WHAT IS THE CHANCE OF GETTING A SAMPLE PROPORTION OF 90% OR GREATER
Answer:
0.20
Step-by-step explanation:
0.20
The number −6 is 2 more than an unknown number. Find the unknown number.
Answer:
-8
Step-by-step explanation:
if its 2 more then [tex]-6-2=-8[/tex]
so if you think the opposite negative 8 plus 2 is -6
- What is the range of the following set of points: {(3, 4), (7, - 2), (11, – 8)}?
A {3, 7, 11}
B {-8, - 2, 3, 4, 7, 11}
c {-8, -2, 4}
Answer:
B) {-8,-2,3,4,7,11}
Step-by-step explanation:
range is y
Final answer:
The range of the set of points {(3, 4), (7, -2), (11, – 8)} is the set of their y-values, which are -8, -2, and 4. So the range is {-8, -2, 4}.
Explanation:
The range of a set of points in mathematics refers to the difference between the highest and lowest y-values (also known as the vertical coordinate) in the set. Looking at the provided set of points {(3, 4), (7, -2), (11, – 8)}, we identify the y-values as 4, -2, and -8. To find the range, we look for the highest and lowest y-values. The highest y-value among these points is 4, and the lowest is -8.
The range consists of all the y-values which the function or set of points may take. Consequently, within this set of points, the range encompasses all values from -8 up to 4. Therefore, the correct answer listing those y-values is Option C: {-8, -2, 4}
-20-3x + 4) + 3x – 3 = -29
Answer:
look at the picture shown
what's the answer for 13x-37+2x+13
Answer:
11x+50
Step-by-step explanation:
Answer:
15x - 24
Step-by-step explanation:
An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?
Answer:
The percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
Step-by-step explanation:
i.) the apartment complex has a total of 175 units.
ii.) 154 units are occupied.
iii.) therefore the number of unoccupied units is = 175 - 154 = 21 units.
iv.) the percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
Find the value for the following determinant.
2
10
-2
Answer:
10
Step-by-step explanation:
1*4 -(3*(-2))=4-(-6)=4+6=10
8 1/5 + (4 2/5 + 3 3/10
Answer:
15 and 9/10 or 15.9
Step-by-step explanation:
4_2/5 + 3_3/10 = 4_4/10 + 3_3/10 = 7_7/10
8_1/5 = 8_2/10
8_2/10 + 7_7/10 = 15 9/10
or 15.9
Answer:15 and 9 10ths
Step-by-step explanation:
12 ones 1 tens and 7 hundreds
Answer: 722
Step-by-step explanation:
Add 700, 10, and 12. Your answer added altogether is 722.
factor the expression below x^2-16x+64
Answer:
(x - 8)^2
Step-by-step explanation:
Factor the following:
x^2 - 16 x + 64
The factors of 64 that sum to -16 are -8 and -8. So, x^2 - 16 x + 64 = (x - 8) (x - 8):
(x - 8) (x - 8)
(x - 8) (x - 8) = (x - 8)^2:
Answer: (x - 8)^2
There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer matches during the tournament by rounding the larger number to the nearest ten.
The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.
Explanation:The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.
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Final answer:
The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.
Explanation:
To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.
8 matches/day × 20 days = 160 matches
Therefore, an estimated 160 soccer matches will be played during the tournament.
PLZZ HELP Which expression is the factored form of −1.5w+7.5 ?
−1.5(w+5)
1.5(5+w)
1.5(w−5)
−1.5(w−5)
The right answer is Option 4.
Step-by-step explanation:
Given expression is;
-1.5w+7.5
To factorize this expression, we will first take -1.5 common to make w positive.
[tex]-1.5(w-5)[/tex]
Because 5 multiplied by 7.5 divided by -1.5 is -5.
Therefore;
The expression is factored form is -1.5(w-5).
The right answer is Option 4.
Keywords: subtraction, addition
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The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.
Explanation:The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.
Factoring out −1.5, we get:
−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)
Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).
Stephanie works as a waitress and earns $4.50 an hour. Stephanie's last paycheck was $150. She earns $60 in tips in addition to her hourly pay. Write an equation the represents this situation. How many hours did Stephanie work? Paragraph Please!!!!!!!!!!!
Stephanie worked for 33 hours 20 minutes.
Explanation:
Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.
Total hours worked = Total money earned / Money earned for an hour
= $150 / $4.50 = 33.33 hours.
Step 2; We need to convert the 33.33 hours into hours and minutes.
We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.
Answer:
20 hours
Step-by-step explanation:
She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:
60 + 4.50t
For some t, the total is $150
150 = 60 + 4.50t
90 = 4.50t
t = 20
Factorise 3x^2+13x-10
Answer: (3x-2)(x+5)
Hope this helps.
The correct answer for the factorization of [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
Given expression:
[tex]3x^{2} +13x -10[/tex]
a: The coefficient of [tex]x^{2}[/tex]
b: The coefficient of linear term variable.
c: The constant term.
In given question:
a= [tex]3x^{2}[/tex] , b =[tex]13x[/tex] , c = [tex]-10[/tex]
To factorize,
Split the middle term:
Find two numbers that multiply to ac (product of the coefficients of [tex]x^{2}[/tex] and the constant term) and add up to b (coefficient of [tex]x[/tex]).
ac = [tex]3*-10 = -30[/tex]
b = [tex]13[/tex]
The two numbers are:
[tex]15[/tex] and [tex]-2[/tex] because [tex]15 * -2[/tex] = [tex]-30[/tex] and [tex]15+(-2) = 13[/tex].
Rewrite the middle term using the two numbers found:
[tex]3x^{2} +15x-2x -10[/tex]
Simplify:
[tex]3x(x^{} + 5x)-2(x+5)[/tex]
[tex](x+5)(3x-2)[/tex]
The factored term of equation [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
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Which sequence of transformations confirms congruence by mapping shape I onto shape II?
A. a reflection across the x-axis and then a translation 15 units left
B. a 90° clockwise rotation about the origin and then a translation 25 units up
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left
D. a 180° rotation about the origin and then a translation 10 units right
Answer:
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.
Step-by-step explanation:
See the diagram attached to the question.
We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.
The correct option is Option C.
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)
what is the slope of y=-5x-1
Answer:
5
Step-by-step explanation:
~Hope this helps!
Krystal~~
How to simplify (5+4)x2+4
AnsWER: 22
Step-by-step explanation: (5+4)X 2+4
9X2+4
18+4
22
What's an equation for 12 less than a number x is 19
Final answer:
Explaining how to create an equation for a specific scenario where 12 is subtracted from a certain number to equal 19.
Explanation:
An equation for 12 less than a number x is 19:
Define the variable: Let x be the number.
Set up the equation: x - 12 = 19.
Solve for x: x = 19 + 12 = 31.
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Gi sells 18 televisions with extended warranties, he earns $ 1 ,260. How much is the fixed amount Gi earns for each television? PLZZ HELP :)
Answer:
$50
Step-by-step explanation:
Simple math
Extended warranty don’t count so gotta take that out that’s be 20x18=360 1260-360=900 now divide 18 tvs from that and u get 900/18=50
To determine the fixed amount Gi earns for each television, a simple algebraic equation is set up and solved to find that he earns $ 50 per television without the extended warranty.
Explanation:To solve for the fixed amount Gi earns for each television without the extended warranty, we can set up an equation.
Let's call the fixed amount $F. Each television with an extended warranty earns Gi an additional $ 20, so for each of those televisions, he earns $F + $20. If he sells 18 televisions with extended warranties,
the total amount he earns can be represented by 18($F + $ 20), which equals $ 1,260 according to the question.
We can create the following equation to find the fixed amount $F:
18($F + $ 20) = $ 1,260
To solve for $F, divide both sides of the equation by 18:
$F + $ 20 = $ 70
Then, subtract $ 20 from both sides to isolate $F:
$F = $ 50
So, the fixed amount Gi earns for each television is $ 50.
A ladder on a fire truck has its base 8 ft. above the ground. The maximum length of the ladder is 100 feet. If the greatest acute angle the ladder can make with the ground is 70°, what is the highest it can reach?
Answer:
78 degrees
Step-by-step explanation:
It’s already above the grown by 8 feet 100 feet in the air but can only go 70
(SAT Prep) Find the value of x in each of the following exercises:
QUICKLY PLEASE JIMGRANT1 IF YOU WOULD PLEASE HELP.
Answer:
x=120°
Step-by-step explanation:
Let us draw a third horizontal line through x, parallel to the two parallel lines.
This line divides angle X into A and B as shown.
By alternate interior angle theorem, angle B=50°
and
angle A=70°
We know that: A+B=x
Therefore x=70°+50°=120°
Answer:
x=120 degrees
Step-by-step explanation:
1. 70+50=120
I get it its simple but its correct i do RSM
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
1
-1
3/5
-5/3
Answer:
-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-1 - 4)/(2 + 3) = -5/5 = -1
answer is -1
Add parentheses to make this 15-6-3=12
Answer:
15-(6-3) = 12
Step-by-step explanation:
15 - (6-3) =
Solve inside the parenthesis
15-3=12
what is the equation for 10x + 35
Answer:
5(2x + 7)
Step-by-step explanation:
What is the solution to the inequality 12x < 252
Answer:
x < 21
Step-by-step explanation:
Given
12x < 252 ( divide both sides by 12 )
x < 21
Can someone please help me with this 7th grade math homework
Answer:
Step-by-step explanation:
i honestly dont even knw but i hope u get it right
Given this function: f ( x )=−2cos(4 πx ) Find the following:
Period = Equation of the mideline:
Maximum = Minimum =
Answer:
Period =½
Equation of midline, y=0
Maximum =2
Minimum=-2
Step-by-step explanation:
The given function is
[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]
The period is given by:
[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]
The equation of the midline is y=0 since there is no vertical shift
The amplitude of this function is 2 so the range is -2≤y≤2.
Hence the maximum value is 2 and minimum value is -2
If f(x) = 10^x then what is the value of f(5)?
Answer:
100000
Step-by-step explanation:
f(5)=10^5
f(5)=100000
Answer:
100,000
Step-by-step explanation:
If there is a 60% chance of rain tomorrow and a 40% chance of wind and rain,
what is the probability that it is windy, given that it is rainy? Round your
answer to the nearest percent.
O A. 78%
O B. 71%
OC. 67%
O D. 33%
Answer:
67%
Step-by-step explanation:
we are given the probability of rain tomorrow of 60 % and a 40% chance of wind and rain. we are asked for the probability that it is windy, given that it is rainy. The formula that should be used is the quotient of the probability with "and" over the probability of the rain only. Hence, P[W U R ] / P [R] = 0.4 / 0.6 = 2/3 = 67%
:Answer: 67%
Step-by-step explanation:
APEX
WILL MARK BRAINLIEST!!!
What is the value of k?
A. −5
B. −3
C. 3
D. 5
Answer:
B. -3.
Step-by-step explanation:
If we take a look at the point (0, 1) in f(x), and compare it to the point (5, -2) in g(x), we can see that the point is simply moved to the right (translated horizontally) and moved down (translated vertically). Since k represents the vertical translation, the value must be -3.
1 -> -2
k = -3.
Answer:
B. -3
Step-by-step explanation:
Because I did the unit test