Answer:
A= l x w
= 76 x 41
=3116cm^2
Perimeter
(76+41) x 2 =234cm
Ty received 3/5 of his CDs as gifts. If he has 60 CDs, how many were gifts?
Answer:
36 CDs were gifts-------------------
3/5 part of 60 CD's were gifts.
That makes:
3/5 * 60 = 180/5 = 36 CDsI am the largest 6-digit even number you can make that has a 6 in the hundreds place what am I
9514 1404 393
Answer:
999,698
Step-by-step explanation:
The largest 6-digit number is 999,999. The largest 6-digit even number is 999,998. The largest 6-digit even number with 6 in the hundreds place is ...
999,698
Factor by grouping 5·(a+3)^2-(a+3)
Answer:
(a+3)(5a+14)
Step-by-step explanation:
Hope this helps
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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1) Add/Subtract. Express your answer as a polynomial in standard forma) (10^5 + 6^3 − 8^2) + (3^3 − 2^2 + 6)
(10^5 + 6^3 − 8^2) + (3^3 − 2^2 + 6)
ordering from biggest to smallest exponent: 10x^5 + 6x^3 + 3x^3 - 8x^2 - 2x^2 + 6
simplifying: 10x^5 + 9x^3 - 10x^2 + 6
answer: 10x^5 + 9x^3 - 10x^2 + 6
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
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Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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Which of the following is true given that - 2/5 < 1/3
A.
is to the right of 1/3 on a horizontal number line
B.
is at the same place as 1/3 on a horizontal number line
C.
is to the left of 1/3 on a horizontal number line
D.
is the opposite of 1/3 on a horizontal number line
Answer:
C
Step-by-step explanation:
Is to the left of 1/3 on a horizontal number line.
There are 40 students eating lunch in the cafeteria. of the students ordered chicken nuggets and the rest of the students are eating nachos. How many students are eating nachos? A 16 B 24 C 40 D 80
Answer:
what number is right before "of the students ordered chicken nuggets and the rest of the students are eating nachos." you cant answer the question otherwise.
Step-by-step explanation:
Solving a word problem on proportions using a unit rate
Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?
Question 3 of 10
Which statement is not correct?
A. A 100° angle is an obtuse angle.
B. A 175° angle is a reflex angle.
C. The terminal side of a 225° angle is in quadrant III.
D. An 85° angle is an acute angle.
SUBMIT
From the above explanation, the option B statement is not correct.
From the given options we need to identify which statement is not correct.
What is an obtuse angle?An obtuse angle is any angle greater than 90° and less than 180°.
From option A:
100° angle is an obtuse angle, because which is greater than 90° and less than 180°.
From option B:
175° angle is a reflex angle because it is greater than 180° and less than 360°.
From option C:
Less than 90° lies in I quadrant, more than 90° and less than 180° lies in II quadrant and more than 180° and less than 270° lies in III quadrant.
From option D:
An 85° angle is an acute angle because it is greater than 0° and less than 90°.
From the above explanation, the option B statement is not correct.
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Write the first five terms of the arithmetic sequence with the first term a1=3 and the common difference, d=7
First five terms of the arithmetic sequence with the first term a₁=3 and the common difference, d =7 in series are: 3 ,10 ,17 ,24 ,30,....
What is arithmetic progression (A.P)?A series of numbers is called an "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. A another name for it is an arithmetic sequence. Every term following the first is derived by adding a constant number, known as the common difference, in an arithmetic progression (d). The nth term of an arithmetic progression must thus be found. The term "arithmetic progression," or A.P. is a mathematical sequence where the gap between the two next terms is a constant. The fundamental difference is referred to as the constant.
Here the first term a = 3 and common difference d = 7.
Now a(n) =a + (n−1)d
a₁ = a = 3
a₂ = a+d = 3 + 7 = 10
a₃ =a + 2d = 3 + 2 × 7 = 17
a₄ =a + 3d = 3 + 3 ×7 = 24
a₅ =a + 4d = 3 + 4 × 7 = 30
First five terms in series are: 3 ,10 ,17 ,24 ,30,....
Thus, the sum of first five terms = 3 + 10 + 17 + 24 + 30 = 84
Hence, First five terms in series are: 3 ,10 ,17 ,24 ,30,....
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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It has been observed that, during various forms of social competition, men experience an increase in testosterone levels. A 2018 study investigated whether a similar effect exists with players in e-sports competition. Researchers recruited 26 male e-sports players and asked them to play the competitive e-game, League of Legends. The study found that participants had an average testosterone increase of 1.11 pg/ml after playing League of Legends, with a standard deviation of 15.18 pg/ml. Obtain a 95% confidence interval for the corresponding population parameter.
Answer:
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 1.11 pg/ml
Standard deviation r = 15.18 pg/ml
Number of samples n = 26
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
1.11+/-1.96(15.18/√26)
1.11+/-1.96(2.977042931397)
1.11+/-5.835004145539
1.11+/-5.835
= ( -4.725, 6.945) pg/ml
Therefore at 95% confidence interval (a,b) = ( -4.725, 6.945) pg/ml
The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to three decimal places.
6.665 grams of the 13 grams remain after 8 hours.
How much of a 13 gram sample of iron-52 would remain after 8 hours?The decay equation for the 13 grams of iron-52 is:
\(N(t) = 13g*e^{(-ln(2)/8.3h)*t}}\)
Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:
\(N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g\)
So 6.665 grams of the 13 grams remain after 8 hours.
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at which points do the graphs of y= x+1 and y=2^2 intersection
The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).
To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.
Setting y = x + 1 equal to y = 2^x, we have:
x + 1 = 2^x
To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.
For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.
For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.
However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.
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1 3/4 + 1/6 + x = 7 1/2
-18 + h = 28
solve for h
PLS HELP! :)
Answer: H=46
Step-by-step explanation:
-18+h=28
you would add 18 to 28 and then that makes 46 you answer
Answer:
46
Step-by-step explanation:
18+28=46
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Four circles, each with a radius of 2 inches, are
removed from a square. What is the remaining area of
the square?
(16 – 4pi) in.2
(16 – pi) in.2
(64 – 16pi) in.2
(64 – 4pi) in.?
Area of 4circles=4(4π}+16π in^2
Hence the area if square= 4^3=64
Remaining area
\(\\ \sf\longmapsto (64-16\pi)in^2\)
20.
Attempt to factor x + 3 out of y = x3 + 27
(A) y = (x + 3)(x2 +9)
(B)
y = (x + 3)(x2 – 3x + 9)
-
(C)
y = (x + 3)(x2 + 3x + 9)
(D)
y = (x+3)(x2 + 6x +9)
Guess my rule......
Answer:
The rule in what is shown to be a graph and a in-out machine is:
y = 2x + 5
Step-by-step explanation:
2(5) + 5 = 15
10 + 5 = 15
15 = 15
TRUE RULE
2(7) + 5 = 19
14 + 5 = 19
19 = 19
TRUE RULE
2(8) + 5 = 21
16 + 5 = 21
21 = 21
TRUE RULE
y = 2x + 5 is your rule!
Answer:
Step-by-step explanation:
y = 2x + 5
MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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Function or non functional? Pls help ty :3
Give the equation y = -4x, what is y when x=7q
Answer:
y=-28q
Step-by-step explanation:
since x=7q so u plug it in to x in y=-4x which is y=-4(7q)
multiply -4 and 7 which will be -28 so the answer would be y=-28q
Pls mark as brainliest, thank u.
Brown your final answer to four decimal places do not round your intermediate competations
Given:
• Total of cards: 52
,• Black cards: 26.
Two cards are draw, without replacement.
Hence:
\(P=\frac{26}{52}\times\frac{25}{51}\)ANSWER
probability both cards are black = 0.2451
Complete the following: 1. Find the locus of points whose (e) distance from the x-axis is 2.
The locus of points whose distance from the x-axis is 2 must be drawn like follows
As you can observe in the image above the locus of points, in this case, are P and P'. It's important to know that the distance of 2 must be perpendicular to the x-axis.
However, we have to find all the locus all the points, which are given by the following equations
\(\begin{gathered} y=2 \\ y=-2 \end{gathered}\)Can you help meeeeeee this is math and there have to be not one answer many like 3,2 and some time 1 ok Thankyou
Answer:m=134
Step-by-step explanation:
that's the only correct answer
find the 25th, 50th, and 75th percentile from the following list of 32 data. please enter exact answers.
the 25th, 50th, and 75th percentile from the following list of 32 data are 25th percentile: 13 , 50th percentile: 21 , 75th percentile: 29.
To find the 25th percentile:
25th percentile: 25% of 32 = 8th number = 13
Count the total number of values in the data set, which is 32
Calculate 25% of 32, which is 8
Count 8 numbers from the beginning of the list and the 25th percentile is the 8th number, which is 13
To find the 50th percentile:
50th percentile: 50% of 32 = 16th number = 21
Count the total number of values in the data set, which is 32
Calculate 50% of 32, which is 16
Count 16 numbers from the beginning of the list and the 50th percentile is the 16th number, which is 21
To find the 75th percentile:
75th percentile: 75% of 32 = 24th number = 29
Count the total number of values in the data set, which is 32
Calculate 75% of 32, which is 24
Count 24 numbers from the beginning of the list and the 75th percentile is the 24th number, which is 29
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