Answer:
(a) Output = 37
(b) Input = 9
Step-by-step explanation:
Given
[tex]y =x5 - 3[/tex]
Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:
[tex]y =x5 - 3[/tex]
[tex]y =8*5 - 3[/tex]
[tex]y =40 - 3[/tex]
[tex]y = 37[/tex]
Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:
[tex]y =x5 - 3[/tex]
[tex]42 = x5 - 3[/tex]
Collect like terms
[tex]x5 = 42 + 3[/tex]
[tex]x5 = 45[/tex]
Divide both sides by 5
[tex]x = 9[/tex]
when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.
a. 18 treats
a. 19 treats
c. 14 treats
d. 16 treats
Answer:
18 treats
Step-by-step explanation:
If she gives 2/5 of 30 = 12
so 3/5 of 30 is 18 (also 30-12 =18)
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answer:
the answer is to multliply it by -4
Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!
Answer:
HCFD
Step-by-step explanation:
a² + b² = c² => a² = c² - b² => a = √(c² - b²)
=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]
A) √(5.5² - 3.5²) ≈ 4.24 => H
B) √(8.8² - 3.5²) ≈ 8.07 => C
C) √(9.3² - 3.5²) ≈ 8.62 => F
D) √(7.9² - 3.5²) ≈ 7.08 => D
Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.
The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)
I think the first one is independent but I’m not sure on the second.
Answer:
The two times Tyler selects a shirt from the suitcase are independent events
The probability that he selects a short-sleeved shirt both times is 9/16.
Step-by-step explanation:
We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.
To find the probability, we use the multiplication rule:
[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has
[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]
- 2022 Edmentum
The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
The number of short sleeved shirts are 6
Total number of shirts is 8
The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.
The probability that he picks a short sleeved shirt is (6/8)
The probability that he picks a short sleeved shirt both times is
= (6/8) *(6/8)
= (9 /16)
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Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
I need help with this question
-3 -12 -5 in that order
Answer:
-3
-12
-33
Step-by-step explanation:
sorry if i m wrong.
Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides
Explanation:
Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.
Side note: any rectangle is a parallelogram, but not the other way around.
Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?
Answer:
the answer is 114
Step-by-step explanation:
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
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The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.
Which number best describes the range of the data in the box-and-whisker plot?
A. 25
B. 15
C. 10
The number that best describes the range of the data in the box-and-whisker plot is 15.
What is the range?A box plot is used to study the distribution and level of a set of scores the scores are distributed into 4 groups. Each group has a value of 25%. The box plot consists of two lines and a box. the two lines are known as whiskers. the whiskers represents the minimum and maximum values.
Range = maximum value - maximum value
20 - 5 = 15
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Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*
Answer:
about 1.18 is the closest is what i got
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?
Answer:
i believe the answer is 1/9, sry if im wrong
Step-by-step explanation:
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
Answer:
x+2=8
x+2_2=8_2
x=6
x=2*3
x=6
Find the line of inclination of the line if its slope is -√3
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
Which statement describes the linear graph
Answer:
B.
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
It would be a simple sentence, since it is a single clause by itself.
Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.
I need this in 10 mins I’m BEGGING HELP
Answer:
148.5 in^2
Step-by-step explanation:
First, get the area of the rectangle
A = 15*12
A = 180
Now the area of the triangle, with the base at 3.5
A = h b/2
A = 9 * 3.5/2
A = 15.75
Since you have 2 halves, add them together., 31.5
Substract 31.5 from 180
Answer:
180 in
Step-by-step explanation:
Because if you multiply 15×12 it gives you 180
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
HELP ME PLEASEESWSAS
Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47
Answer:
6.7
Step-by-step explanation:
x² = 45
x = 6.7
is the answer
What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.
A. 20%
B. 8%
C. 35%
D. 15%
Answer:
A) 20%
Step-by-step explanation:
The total votes are:
40 + 70 + 60 + 90 = 260
Rebecca has the highest percent of votes which is 90 votes. To find the %:
90/260 ≈ 34.62%
Amy has the lowest percent of votes which is 40 votes.
40/260 ≈ 15.38%
Finding the difference:
34.62 - 15.38
19.24
So, it's around 20%
How many sides does a regular polygon have if each of its interior angles is 165 degree.
hi! i’ll give brainliest please help
Answer:
third option mechanical weathering
Step-by-step explanation:
in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .
Find the surface area of the rectangular prism
2km
4km
6km
Answer:
88km is your answer
Step-by-step explanation:
brainlest pls
Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.
Answer:
68.47
Step-by-step explanation:
30%=0.3
20.54/0.3=68.4666……
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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Find the value of X.
Answer:
x = 34
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(100-32)
x = 1/2 (68)
x =34
Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next
Answer:
y - x= - 13 -------(1)
- 4x + 3y = -51 -------(2)
(1) => y = - 13 + x
Substitute y in (2)
- 4x + 3( - 13 + x) = -51
- 4x - 39 + 3x = -51
- x = -51 + 39
- x = -12
x = 12
Substitute x in (1)
y = - 13 + x = -13 + 12 = - 1
x = 12, y = -1
What is another way to write this??
Answer:
b is the answer
....................
Answer:
B.
Step-by-step explanation:
The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?
Answer:
so here 25%=5
25×2=50, 5×2=10
50%=10
50%+50%=10+10
100%=20
baker makes total 20 cakes