Answer:
Step-by-step explanation:
If Abe practiced 30 minutes,
Malik practiced 40 minutes.
It's 30:40 minutes;
3:4
Find (g•f)(3)
f(x) = |x + 2|
g(x)=-x^2
Answer:
-25
Step-by-step explanation:
This question is asking for a composite function.
Let's take this step-by-step!
[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]
(g•f)(3) means [tex]g(f(3))[/tex]
In English, this means we put 3 into f(x), and use the result for g(x).
First let's do f(x):
[tex]f(3) = |3 + 2| = |5| = 5[/tex]
The lines mean "modulus"/"absolute value" which makes any number positive
For example,
[tex]|-3| = 3[/tex]
[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]
What is the solution to 9|x – 8| < 36?
Answer:
4 < x < 12
Step-by-step explanation:
Given:
[tex]\displaystyle \large{9|x-8| < 36}[/tex]
Divide both sides by 9:
[tex]\displaystyle \large{|x-8| < 4}[/tex]
Theorem:
For [tex]\displaystyle \large{|x-a| < b}[/tex], since absolute is less than a constant, the interval or solution is:
[tex]\displaystyle \large{-b < x-a < b}\\\displaystyle \large{-b+a < x < b+a}[/tex]
Therefore:
[tex]\displaystyle \large{|x-8| < 4 \to -4 < x-8 < 4}\\\displaystyle \large{-4+8 < x < 4+8}\\\displaystyle \large{4 < x < 12}[/tex]
Therefore, the solution is 4 < x < 12
Answer:
4 < x < 12
Step-by-step explanation:
9|x - 8| < 36
Divide both sides by 9:
|x - 8| < 4
Solution 1
(x - 8) < 4
Add 8 to both sides:
x < 12
Solution 2
-(x - 8) < 4
-x + 8 < 4
Subtract 8 from both sides:
-x < -4
Divide both sides by -1 (remembering to change the direction of the sign):
x > 4
Therefore, the solution to the inequality is 4 < x < 12
Help please, this is due on April 18th tmr. :/
Answer:
m<RUS = 65°
m<UST = 15°
Step-by-step explanation:
Hi there!
We are given circle O, with a diameter of US
The measure of arc RU is 50°, and the measure of arc UT is 30°
We want to find the measure of <RUS and <UST
First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US
Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°
Next, we know that the measure of arc RU is 50°
Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself
Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°
Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°
In that case:
m<RUS = m<URS - m<RSU
via substitution, m<RUS = 90° - 25°
m<RUS = 65°
Now we need to find the measure of <UST
Notice how m<UST is also an inscribed angle
The arc it intercepts is arc UT, which we were given has a measure of 30 degrees
Therefore, m<UST = half of the measure of arc UT
Via substitution,
m<UST = 1/2 * 30
m<UST = 15°
Hope this helps!
the Area of the circles
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
Answer:
254 cm^2.
Explain:
The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.
What is the total number of digits you need to number the pages of a book that has 1450 pages?
Answer: pages 1-1,450
pages 1-9 = 9 digits
pages 10-99 = 90*2 = 180 digits
pages 100-999 = 900*3 = 2,700 digits
pages 1000-1450 = 451*4 = 1,804 digits
sum = 4,693 digits
The dimensions of a hexagon shaped bedroom are apothem = 5 and side length = 11. Find the area of the bedroom on the floor plan.
Answer:
165
Step-by-step explanation:
area of a hexagon = 1/2 × apothem × perimeter
to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )
given side length = 11
so perimeter = 6 × 11 = 66
now to find area
remember area = 1/2 × apothem × perimeter
given apothem = 5 and perimeter = 66
so area = 1/2 × 5 × 66
1/2 × 5 = 2.5
2.5 × 66 = 165
i need help with this
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
what is the value of the expression m+(7•9)/n when m = 2.5 and n= 5
A.) 13/5
B.) 13/10
C.) 15/11
D.) 15/17
29 BRAINLY POINTS PLUS USER!!!!
Answer:
13/5
Step-by-step explanation:
Given:
m = 12n = 3/5Substitute the values into the expression:
⇒ 1/2(m ÷ 3) + n
⇒ 1/2(12 ÷ 3) + 3/5
Simplify the expression:
⇒ 1/2(12 ÷ 3) + 3/5
⇒ 1/2(4) + 3/5
⇒ 1/2 x 4 + 3/5
⇒ 2 + 3/5
Make common denominators:
⇒ 2 + 3/5
⇒ (2 x 5/1 x 5) + 3/5
⇒ 10/5 + 3/5
Simplify by adding:
⇒ 13/5
Which shapes show equivalent fractions?
A.shapes A and B
B.shapes A and C
C.shapes B and C
D.shapes C and D
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
700,000
90,000
6,000
100
40
2
Answer:
9
Step-by-step explanation:
796,142
100000 10000 1000 100 10 1
Find the value of x, if C is on line AE
Answer:
x = 11°
Step-by-step explanation:
Linear Pair
Two angles adjacent to each other that form a straight line.
The sum of angles of a linear pair is always equal to 180°.
⇒ m∠C = 180° - 33° = 147°
Alternate Interior Angle Theorem
When two parallel lines are cut by a transversal, the alternate interior angles are congruent.
From inspection of the diagram, we can see that AB ║ DC.
Therefore, AE is the transversal.
So m∠A = 33°
Sum of interior angles of a triangle is 180°
Therefore, the top angle of the triangle = 180° - m∠A - 2x
= 180° - 33° - 2x
= 147° - 2x
Angles around a point add up to 360°
⇒ 33° + m∠C + 5x + (147° - 2x) = 360°
⇒ 33° + 147° + 5x + 147° - 2x = 360°
⇒ 327° + 3x = 360°
⇒ 3x = 33°
⇒ x = 11°
Answer:
x = 11°
Explanation:
m∠C = m∠A = 33°m∠B = 2(x)m∠I = 180° - 5(x)============ [ total interior angle in a triangle is 180° ]
solve for x
33° + 2(x) + 180° - 5(x) = 180°-3(x) = 180° - 213°-3(x) = -33°x = 11°PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
Solve the system of equations.
−4x+3y=−2
y=x−1
(-1,-2)
x= -1
y= -2
Have a wonderful day :)
............................................
Answer:
yoo :)
Step-by-step explanation:
(PLEASE HELP DUE TODAY!!!!!!!!!!!!!!!!!1) Did you know that 1000 can be written as the sum of the 5 consecutive positive integers beginning with 198? That is,1000=198+199+200+201+202 Also, 1000 can be written as the sum of 16 consecutive positive integers beginning with 55. That is,1000=55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70 It is also possible to write 1000 as a sum of 25 consecutive positive integers. This is the maximum number of consecutive positive integers that could be used to create the sum. Determine the smallest of the positive integers in this sum. Explain or show how you got your answer.
Answer:
Alright! So, the formula is
x+x+1+x+2+x+3+x+4....x+24
You can do 25x+300=1000
25x=700
x=28
A colony of 100 bacteria doubles in size every 60 hours what will the population be 180 hours from now
Answer:
20 hours thank you very muchSince the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean
Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
#SPJ1
What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?
Answer:
(-∞,∞)
Step-by-step explanation:
If the odds against an event are 5:8, then the probability that the event will fail to occur is
Answer:
Step-by-step explanation:
5/8
Odds against event are 5:8
Means ration of not happening of work =
5/8
Sample space has 8+5=13 possibilities
Probability it being to work=
8/13
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
Sam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.
Which expression represents the dollar amount that was taken from Sam's bank account.
Answer:$740
Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps
Please help me ASAP I’ll mark brainly
Answer: 7
Step-by-step explanation:
What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is
served. Which of the following statements are correct? Select all that apply.
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball wag 23 feet.
If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.
The graph that models the volleyball's height over time is exponential.
The volleyball was served from a height of 5 feet.
Answer:
1,2, and 5
Step-by-step explanation:
The statements about the function that are correct are:
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.
We have,
The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is served.
Let's analyze each statement:
The volleyball reached its maximum height at 3 seconds.
This statement is correct.
The function h(t) is a quadratic function, and its graph is a parabola that opens downwards.
The vertex of the parabola represents the maximum height of the volleyball.
In this case, the vertex occurs when t = 3 seconds.
The maximum height of the volleyball was 23 feet.
This statement is also correct.
We can see from the function that the maximum height occurs at t = 3 seconds, and substituting t = 3 into the function gives:
h(3) = -2(3 - 3)2 + 23 = 23 feet.
If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.
This statement is incorrect.
To find when the volleyball hits the ground, we need to find when h(t) = 0. Solving -2(t - 3)2 + 23 = 0 gives t = 3 ± √(23/2).
Since the vertex is at t = 3 seconds, the volleyball will hit the ground at the same height it was served, which is h(0) = -2(0 - 3)2 + 23 = 5 feet.
So the time it takes for the volleyball to hit the ground is when h(t) = 0, which occurs at t = 3 ± √(23/2), not 5.5 seconds.
The graph that models the volleyball's height over time is exponential.
This statement is incorrect.
The function h(t) is a quadratic function, not an exponential function.
The volleyball was served from a height of 5 feet.
This statement is also incorrect.
The function h(t) gives the height of the volleyball above the ground, not above the height it was served.
However, we can see from the function that h(0) = -2(0 - 3)2 + 23 = 5 feet, so the volleyball was served from a height of 5 feet above the ground.
Thus,
The statements about the function that are correct are:
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.
Learn more about functions here:
https://brainly.com/question/28533782
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Please help me I’m not sure how to answer this problem
Answer:
12/13
Step-by-step explanation:
P(not a queen) = 48/52 = 12/13
Answer:
48/52
Step-by-step explanation:
Out of a 52 card deck there are 4 queens
there is a 48/52 propability you will not be drawn a queen or 92.31% you will not be drawn a queen
Determine an exact value for sin _
3π/4-tan 5π/6
Answer:
[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]
Please help me with these, first to answer receives 5 stars if correct and probably BRAINLIEST! The following are daily high temperatures (℉) in Auckland, New Zealand:
75 67 83 90 79 74 70 71 72 78 76 67 66 80 77 77 84 74
1. Using the data above, make a stem-and-leaf plot. (4 points)
2. Using the data above, make a box-and-whisker plot. If the set has outliers, use an * to show
them.
Answer:
6 6, 7, 7
7 0, 1, 2, 4, 4, 5, 6, 7, 7, 8
8 0, 3
9 0
Step-by-step explanation:
If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.
I dont know how to answer this
Answer:
sorry the image isnt clear
Answer:
Can you post it again but clearer
The side lengths in yards of a triangle and a square are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?
The value of x given the perimeter of the square is 6.
What is the value of x?The first step is to determine the perimeter of the square.
Perimeter of the square = 4 x length
4 x 2.5x = 10x yards
The perimeter of the triangle is equal to the sum of the three side lengths
2x + 4x - 2 + 2x + 14 = 10x
Combine similar terms
14 - 2 = 10x - 2x - 4x - 2x
Add similar terms
12 = 2x
Divide both sies by 2
x = 6
To learn more about triangles, please check: https://brainly.com/question/22949981
Answer:
it is 6
Step-by-step explanation:
i did it in class and the teacher siad it ws right
Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}
{11, 17, 27}
============================================================
Explanation:
Let's go through the answer choices.
A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side
11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.