9514 1404 393
Answer:
400
Step-by-step explanation:
The statement of proportionality means the ratio of y to √x is the same. Then we can write ...
(√x)/100 = (√81)/45
√x = 100(√81)/45 = 20 . . . . . multiply by 100
x = 20² = 400
x is 400 when y is 100.
What is the domain of the function with the graph given below?
Answer:
(-∞, 1] or {x|x<=1}
Step-by-step explanation:
A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg
Maria has these ingredients.
1 quart of milk
8 cups of flour
12 eggs
How many more cups of milk does Maria need to make 40 pancakes in total?
Answer:
2 1/4 cups
Step-by-step explanation:
the first step is to determine how many cups would be needed for 1 pancake
1 1/4 ÷ 8
5/4 x 1/8 = 5/32 cups
the second step is to determine how many cups would be needed for 40 pancakes
5/32 x 40 = 25/4 = 6 1/4
The next step is to convert quart to cups
1 quart = 4 cups
So Maria has 4 cups of milk.
the cups she needs more = 6 1/4 - 4 = 2 1/4 cups
Need with this … substitution method..
Answer:
The solution is the point (-3,2)
Step-by-step explanation:
x + 2y = 1 Subtract 2y from both sides
x + 2y - 2y = 1 - 2y
x = 1 - 2y Substitute 1 - 2y in for x in the second equation and solve for y.
5x -4y = -23
5(1 - 2y) -4y = -23 Distribute the 5
5(1) - 5(2y) - 4y = -23
5 -10y - 4y = -23 Combine like terms
5 -14y = -23 Subtract 5 from both sides
5 -5 - 14y = -23 -5
-14y = -28 Divide both sides by -14
[tex]\frac{-14y}{-14}[/tex] = [tex]\frac{-28}{-14}[/tex]
y = 2
Solve for y
x + 2y = 1 Substitute in 2 for y and solve for x
x + 2(2) = 1
x + 4 = 1 Subtract 4 from both sides
x + 4 - 4 = 1 - 4
x = -3
The solution is the point (-3,2)
Check:
2 + 2y = 1
-3 + 2(2) = 1
-3 + 4 = 1
1 - 1 checks
5x - 4y = -23
5(-3) - 4(2) -23
-15 - 8 = -23
-23 = -23
Circle Review Worksheet
Please help
Answer/Step-by-step explanation:
Recall: circumference of a circle, C = πd or C = 2πr
Where d = diameter
Radius (r) = ½ of diameter
1. Radius (r) = 3 cm
Diameter (d) = 2(3) = 6 cm
Circumference = πd = π*6
C = 18.8495559 ≈ 18.8 cm (nearest tenth)
2. Radius (r) = 6 in.
Diameter (d) = 2(6) = 12 in.
Circumference = πd = π*12
C = 37.6991118 ≈ 37.7 in. (nearest tenth)
3. Radius (r) = 9 mm
Diameter (d) = 2(9) = 18 mm
Circumference = πd = π*18
C = 56.5486678 ≈ 56.5 mm (nearest tenth)
4. Radius (r) = ½(4.8) = 2.4 cm
Diameter (d) = 4.8 cm
Circumference = πd = π*4.8
C = 15.0796447 ≈ 15.1 cm (nearest tenth)
5. Radius (r) = ½(7) = 3.5 cm
Diameter (d) = 7 cm
Circumference = πd = π*7
C = 21.9911486 ≈ 22.0 cm (nearest tenth)
6. Radius (r) = ½(14) = 7 cm
Diameter (d) = 14 cm
Circumference = πd = π*14
C = 43.9822972 ≈ 44.0 cm (nearest tenth)
Express the following measure in radians.
675°
Answer:
[tex]\frac{15\pi }{4}[/tex]
Step-by-step explanation:
Degrees to radians, multiply by pi/180
675pi/180
use a calculator to simplify
You get 15pi/4
The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].
What is the formula to convert degree to radian?
The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].
What is the conversion of 675degree?We will substitute 675 for angle in degree into the formula to get the value in radian.
[tex]\frac{675*pi}{180}[/tex]
This will be [tex]\frac{15pi}{4}[/tex].
Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].
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HELP PLEASEEEEEEEEO ITS EASY IF U LIKE RECTANGLESoo
Answer: 5 feet
Step-by-step explanation: I used a ruler
Parent function Math test, (give me the answers please).
Answer:
Step-by-step explanation:
no thx for 50points
Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
Ann traveled 165 miles on 5 gallons of gas
Step-by-step explanation:
First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.
Hello, I am stuck on this question which is a exchange rate question
if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?
Answer:
0.05 US$=1 sar
then,1 US$=1/0.05 sar.
help me!! asap!! please!!
Answer:
y^6/x^4
Step-by-step explanation:
It's the last answer because 1/x^4*y^6 is equal to y^6/x^4
Which of the following is a sum of cubes?
A. 8x^3 -27y^6
B. 3x^3 +8y^6
C. X^3 +8y^6
D. 125x^6 -9y^3
Answer:
C. X^3 +8y^6
Step-by-step explanation:
X³ +8y⁶ = (X + 2 y²) (X² - 2 X y² + 4 y⁴)
To construct an angle that has a measure of 55°, another ray can be drawn that
starts at point W and passes through —
Your answer:
A. X
B. M
C. S
D. Not here
38 points!
pls help i don’t understand
Answer: 495 is the answer
Step-by-step explanation:
11 for the table is 880
11 for the graph is 385
880-385
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
The average like for each minute of the video that he uploads will be 2,000 likes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total number of likes is calculated as,
Like / View = 1 / 5
Like / 9,000,000 = 1 / 5
Like = 1,800,000
The total number of minutes is calculated as,
Time length = (9,000,000 / 150,000) x 15
Time length = 60 x 15
Time length = 900 minutes
The average like for each minute of the video that he uploads will be given as,
⇒ 1,800,000 / 900
⇒ 2,000
The average like for each minute of the video that he uploads will be 2,000 likes.
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The complete question is given below.
Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?
Directions: Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
1. A series with six terms, the first term is five, and the common difference is five.
2. A series with six terms, the first term is nine and the common difference is twelve.
3. A series with five terms, the first term is 5.7 and the common difference is 1.4.
Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5
Arithmetic mean: What is it ?The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,
For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.
Given:
1) There are six terms in AP, with terms a and d each being worth five points.
2) There are 6 terms in AP, with terms 9 and 12 respectively.
3) In AP, there are five terms, where an is 5.7 and d is 1.4.
4) In AP, = 20, t21 = 400
5) In AP, t100 = 99 and a = 0
Find the sum of the terms in the arithmetic series.
As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]
To determine: the total terms in the arithmetic series
The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]
1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105
2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234
3) There are 5 terms total, with terms a = 5.7 and d = 1.4.
S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5
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The second side of a triangular deck is 5 feet longer than the shortest side. The third side of the deck is 5 feet shorter than twice the length of the shortest side. If the
perimeter of the deck is 60 feet, what are the lengths of the three sides?
The shortest side of the deck is feet.
(Simplify your answer.)
Answer:
Step-by-step explanation:
60= s+5 + 2s-5 + s
60 = 4s
15 = s
the short side is 15
the 2nd side is 20
the 3rd side is 25
You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftovers what is the greatest length of pieces that you can make?
Answer:
16inchs
Step-by-step explanation:
the gcf of 48 and 64 is 16
Answer:
16 because it is the GCF
Step-by-step explanation:
"-12<-3x-15" less than or equal to 36
Answer:
-17 ≤ x < 1
Step-by-step explanation:
-12 < -3x - 15 ≤ 36
Add 15 to all 3 "sides."
-12 + 15 < -3x - 15 + 15 ≤ 36 + 15
3 < -3x ≤ 51
Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.
3/(-3) > -3x/(-3) ≥ 51/(-3)
-1 > x ≥ -17
Rewrite in standard order.
-17 ≤ x < 1
Combine the like terms to create an equivalent expression:
y - (-3y)
write an equation for the exponential function represented in the graph below.
Answer
150
Step-by-step explanation:
No hay explanation
What is the value of k and why
Answer:
b is the answer
Step-by-step explanation:
The value of k in the equation sin (k - x) = cos (x) would be k = π/2
Given that,
An expression is defined as,
sin (k - x) = cos (x)
Used the concept of trigonometry formula which stated that,
sin (90 - θ) = cos (θ)
Here, the expression is given as,
[tex]sin (k - x) = cos (x)[/tex]
Substitute k = π/2 in the above equation,
[tex]sin (\dfrac{\pi }{2} - x) = cos (x)[/tex]
Apply the above formula,
[tex]\text {cos x } = \text {cos x }[/tex]
So, the value of k is π/2.
Hence, option c is true.
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How many hours of sleep do you get each night? Is this a statistical question
Answer:
Yes.
Step-by-step explanation:
This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.
Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.
Eumin pays $3.56 for 4 juice boxes.
How much would Eumin pay for 7 juice boxes?
Enter your answer in the box.
Answer:
No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23
Step-by-step explanation:
Express using a radical
Answer[tex]\sqrt[4]{6}[/tex][tex]\sqrt[4]{b^3}[/tex][tex]\sqrt[4]{c}[/tex]
Step-by-step explanation:
Find x. Round your answer to the nearest tenth of a degree.
15
x
10
Answer:
x is approximately 48.2.
Step-by-step explanation:
Use the trig function of cosine, or adjacent over hypotenuse.
cos theta = adjacent / hypotenuse
Substitute variables.
cos x = 10 / 15
Apply inverse cosine to both sides.
x = cos^-1(10/15)
Evaluate.
x ≈ 48.2
Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{15}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{10}{15}[/tex] ) ≈ 48.2° ( to the nearest tenth )
look at the picture pls pls pls i need help
Answer: 39.5 ft^2
Step-by-step explanation:
1. Find the area of the rectangle using the formula length * width
8 ft * 4 ft = 32 ft2. Find the area of one of the triangles (the top one) using the formula 1/2(b*h)
2 ft * 3 ft * 0.5 = 3 ft3. Find the area of the other triangle (the bottom one) using the formula 1/2(b*h)
3 ft * 3 ft * 0.5 = 4.5 ft4. Add 'em all up to get the total area
32 ft + 3 ft + 4.5 ft = 39.5 ft ^2नीचे दिर गर दक्वि व्यंजनी वाले दो दो शब्द लिखिए
म्म
Answer:
give Ff id let's play ......
Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on
What is the spread of Cassandra’s grades?
The box plot shows Cassandra’s grades in science this year. Use the box plot to answer the following question:
Answer:i THINK 79, i dont know fully, but i think 79
Rewrite the following sentence in the passive voice:The legal advisor warned the man not to use certain emojis in responding to Messages.