Answer: x+7=1+2x
Step-by-step explanation:
If x represents the number,The sum of a number and 7 is x + 7One more than twice the number is 1 + 2xThe IS in the middle of the sentence means =So, x + 7 = 1 + 2x Solve this equation,If you need further assistance message me.
he highest elevation in a country is a mountain, with an altitude of 14,309feet. The lowest elevation in the country is a valley, with an altitude of 288 feet below sea level.
Answer:
Diffrent between altitude = 14,021 ft
Step-by-step explanation:
Given:
Heighest altitude = 14,309 ft
Lowest altitude = 288 ft
Find:
Diffrent between altitude
Computation:
Diffrent between altitude = Heighest altitude - Lowest altitude
Diffrent between altitude = 14,309 - 288
Diffrent between altitude = 14,021 ft
Which of the following points are on the line 2x + 3y = 15?
a. (3, 3)
b. (9, -1)
c. (2.5, 3.5)
d. (-10.5, 12)
Answer:
A and B
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
I made a graph using “D e s m o s”
You can go on there too
Basically anything on the line would be the answer.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
with a 5% sale discount the price of an item is $38 what was the original price
Answer:
\(38 \div5 \\ \)
Kate multiplies 5 numbers. One of the numbers is 0. Is it possible to know the product of Kate's number?
Answer:possibly any number multiplied by 0 is always gonna be 0
Step-by-step explanation: so yes depending I’m only in 5th so yeah sorry if it’s wrong
pls help
write the sequence of transformation that changes figure ABCD to figure A’B’C’D Part A: explain your answer and write the coordinates of the figure obtained after each transformation
Part B:are the two figures congruent?Explain your answer
a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Use the Remainder Theorem to find the
remainder when dividing f(x) = 4x^3 - 2x^2 + 7x - 1
by x - 1.
Answer:
f(1) = 8
Step-by-step explanation:
x - 1 = 0
x = 1
f(x) = 2x² + 7x - 1
f(1) = 2*1² + 7*1 - 1
= 2 + 7 - 1
= 9 - 1
f(1) = 8
A cylinder has a volume of 200 mm3 and a height of 17 mm.
a) The volume formula for a cylinder is v = pie r squareℎ. Isolate for the variable r in this formula.
b) Using the equation where you isolated for r in part a, find the radius of the cylinder. Round your answer to the nearest hundredth. (1 mark)
Answer:
The radius of the cylinder is 1.93mm.
Step-by-step explanation:
1) Formula to find the missing radius : V= pi r^2 (h)
( V= volume, pi=3.14 r=radius, h= height)
2) Plug all the give variables into the formula: 200=pi r^2 (17)
3) Multiply pi with 17 and then round it to the nearest hundredth which you get 53.401707511 -> 53.41, now your equation is: 200= 53.41 r^2
4) Next you want to isolate the r^2 by dividing both sides by 53.41
200/53.41= 53.41r^2/53.41 ( 3.74461711 round to the nearest hundredth --> 3.74) ---> 3.74=r^2
5) Now you have to square both sides to get rid of that exponent : squared 3.74 = squared r^2
6) Your equation would be 1.933907961 = r, round that whole decimal to the nearest hundredth and you will get 1.93 ( 19.3 = r)
7) So the radius of the cylinder given the volume is 200 mm^3 and a height of 17 mm is 1.93 mm.
find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie)
1177.58
2355.16
18,841.25
12,850.80
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
Bill's Roast Beef sells 7 times as many sandwiches as Pete's Deli. The difference between their sales is 450 sandwiches. How many sandwiches did each sell?
Answer:
bill sold 7525 sandwiches
pete sold 75 sandwiches
Step-by-step explanation:
we say bills roast beef sells "b" sandwiches and pete sells "p" sandwiches.
set up system of equations
b=7p
b=450+p
7p=450+p
6p=450
p=75
so bill sold 75*7=525 sandwiches
pete sold 75 sandwiches
Please help! I will gift you brainiest in reward.
Answer:
Graph DStep-by-step explanation:
When the process starts, the water is flowing slowly, since there is only 1 valve open. That represents the part on this where the line is going almost horizontally.
When the operator opens the second valve also, then there will be more water released at once, which means that the water will come out faster, and take less time. That represents the middle part of the line, which is almost vertical.
When the operator shut's down the second valve, then the process gets slower, and that represents the part which is going slow again. And that represents the 3rd part, where the line is going almost horizontal again.
Mark me brainliest if this could help! Thanks!
Mount Whitney is 3072m tall. Convert the height to kilometers.
What is the exact value of sin pi/3?
The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.
The exact value of sin(pi/3) can be determined using trigonometric properties and identities.
First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.
To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.
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Which of the following is equal to 6.6÷2
Answer:B
Step-by-step explanation:
A is equal to 6.3'.
none of the others are equal to 3.3 exactly.
The supreme choice pizza at Pizza Paradise contains 2 different meats and 4 different vegetables. The customer can select any one of 5 types of crust. If there are 4 meats and 9 vegetables to choose from, how many different supreme choice pizzas can be made?
Answer:
756
Step-by-step explanation:
This is a combination problem. Combination has to do with selection.
If we are to select r objects out of a oiil of n objects, this can be done in nCr number of ways as shown;
nCr = n!/(n-r)!r!
From the question, there are 4 meats and 9 vegetables to choose from. If the customer is to select 2 different meats and 4 different vegetables from the available ones, this can be done as shown
4C2 (selection of 2 different meats from 4meats) and 9C4(selection of 4 different vegetables from 9 total vegetables)
The total number of ways this can be done is 4C2 × 9C4
= 4!/(4-2)!2! × 9!/(9-4)!4!
= 4!/2!2! × 9!/5!4!
= 4×3×2!/2!×2 × 9×8×7×6×5!/5!×4×3×2
= 6 × 9×7×2
= 756ways
This means 756 different supreme choice pizzas can be made.
If the coordinates of point E are (-4,y), what is the value of y ?
Expand, and simplify the following expressions a. (2x+y)(x+y) + (2x-y)(x+y)
Step-by-step explanation:
2x²+2xy+yx+y²+2x²+2xy-yx+y²
2x²+2x²+2xy+2xy+yx-yx+y²+y²
2x²+2x²+2xy+2xy
4x²+4xy
Your Answer is in the above image.
Hope this solution may help you
P R Use the sketch to determine the ratio of tan(90°-R).
The value of the ratio of tan(90°-R) using the sketch is PR/PQ
How to determine the ratio of tan(90°-R) using the sketchFrom the question, we have the following parameters that can be used in our computation:
The right triangles (see attachment)
From the right triangle, we have the following readings
Opposite of 90 - R = PR
Adjacent of 90 - R = PQ
The ratio of tan(90°-R) is then calculated as
tan(90°-R) = Opposite/Adjacent
So, we have
tan(90°-R) = PR/PQ
Hence, the ratio of tan(90°-R) using the sketch is PR/PQ
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Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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Reduce the fraction below to their lowest term 70/3 =
Step-by-step explanation:
70 ÷ 3 = 23 1/3
m is directly proportional to r squared when r=2 m=14 work out the value of r when m = 224
Answer:
32
Step-by-step explanation:
r:m
2:14
1:7
m=224
r=224 divided by 7
224/7=32
Edit: unless it is proportional to r^2 in which case it is a different answer
Answer:
m=504
Step-by-step explanation:
Ramon, Cheri, and Aiden played a game
in which they earned or lost points. Here
are their results after the first round:
Aiden: -3
Ramon: -1
Cheri: -8
1. Who had the highest score?
2. Who had the lowest score?
3. Was the middle score closer to the
highest score or the lowest score?
Explain.
A
1. Ramon had the highest score with -1. 2. Cheri had the lowest score with -8. and the third is given below:
What is score?Score is a numerical representation of a person's or team's performance or success in a particular activity, task, or game. It is often used to measure a person's or team's progress in a given activity and to compare one's performance to that of others. Scores can be used to determine a grade or rank, or to assign a score to a specific task or activity. Scores are commonly used in sports, academic testing, and other competitive activities.
3. The middle score was closer to the lowest score. This is because Ramon's score of -1 was seven points higher than Cheri's score of -8, while Aiden's score of -3 was only two points higher than Ramon's score of -1.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft
We know that the circumference of a circle of diameter D is given by:
C = 3.14*D
Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:
C = 3.14*10ft = 31.4 ft
You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.
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A dining room set lists for $1500, and carries a trade discount of 40 percent. Freight charges are $150. Calculate the final price of the dining room set.
Answer:
1050
Step-by-step explanation:
40 percent of $1500 is $600
$1500-$600=$900
$900+$150=$1050
8secx - 3tan^2(x) =7
0 < x < 360
Find the 2 angles that satisfy this equation
The two angles that satisfy this equation are 60 degrees and 300 degrees
Trigonometric identitiesTrigonometry are expressed as a function of sine, cosine and tangent.
Given the trigonometry expression below;
8secx - 3tan^2(x) =7
Since tan^2x= sec^2x - 1
Substitute
8secx - 3(sec^2x-1) =7
Expand
8secx - 3sec^2x + 3 = 7
3sec^2x - 8secx +4 = 0
Let P = secx such that;
3P^2 - 8P - 4 = 0
Factorize
3P^2 - 6P -2 P + 4 = 0
3P(P - 2) - 2(P - 2) = 0
P - 2 = 0
P = 2
since secx = P, hence;
secx = 2
1/cosx = 2
cosx = 1/2
x = 60 degrees
Since cosine is positive in the fourth quadrant, hence;
x2 = 360 - 60
x2 = 300degrees
Hence the two angles that satisfy this equation are 60 degrees and 300 degrees
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...