Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
Brainilest Appreciated.
If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answer:
210.8
Step-by-step explanation:
Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Answer:
5x^4+ 2x^3+3x² – 3x + 2
Step-by-step explanation:
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Combine like terms
5x^4+ 2x^3+3x² – 3x + 3– 1
The only like terms are the constants
5x^4+ 2x^3+3x² – 3x + 2
Answer:
5x^4 + 2x^3 -3x^2 - 3x + 2
Step-by-step explanation:
Expanding out the brackets:
5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.
Simplifying gives
5x^4 + 2x^3 - 3x^2 - 3x + 2
Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)
4x2 + 8x - 7 - (3x2 - X+9)
Answer:
[tex] {x}^{2} + 9x - 16[/tex]Step-by-step explanation:
[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:
[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]
Collect like terms
[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]
[tex] {x}^{2} + 9x - 7 - 9[/tex]
Calculate
[tex] {x}^{2} + 9x - 16[/tex]
Hope this helps...
Good luck on your assignment...
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 118 t + 115 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
......................................
Answer:
Towards the left
Step-by-step explanation:
Which of the following theorems verifies that HIJ= KLM?
Answer:
D
Step-by-step explanation:
We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)
Answer:
[tex]\boxed{HA}[/tex]
Step-by-step explanation:
The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.
=> IJ ≅ LM (Hypotenuse)
=> ∠NIJ ≅ ∠KLM (Acute Angle)
which expressions are equivalent to 252 check all that apply
Answer:
answer is5th one
Step-by-step explanation:
5th one is the answers...its equal to the expression given
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
HELP ASAP!
Identify the outlier in the data set and then find the mean and median with and without the outlier.
4, 14, 5, 2, 16, 138, 11
If necessary, round your answers to the nearest tenth.
outlier = 4
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 41.6
median without outlier = 12.5
outlier = 4
mean with outlier = 11
median with outlier = 27.1
mean without outlier = 8
median without outlier = 8.7
outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
outlier = 138
mean with outlier = 8.7
median with outlier = 8
mean without outlier = 27.1
median without outlier = 11
Answer:
C. outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
Step-by-step explanation:
Hey there!
Well if the outlier is 138 then we can cross out choices A and B.
So let's find the mean with and without the outlier.
With - 27.1
Without - 8.7
Median)
With - 11
Without - 8
By using this information we can conclude that the answer is C.
Hope this helps :)
What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.
Answer:
Marilyn likes classical
Donna and Valr likes either pop or hiphop
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answer:
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Step-by-step explanation:
we will use the concept of triangle
1. sum of two sides of triangles is always greater than the third side
2. difference of trow sides of triangle is always less than the third side.
Given two sides
23 and 44
let the third side b x
using first concept
sum of to sides = 23+44 = 67
thus,
x <67
using second concept
Difference of to sides = 44 - 23 = 21
thus,
x > 21
Combining
x <67 and x > 21
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
(will mark brainliest if correct) find area and perimeter
Answer:
32.137 cm squared **Answer varies on how you round for step 2**
Step-by-step explanation:
**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**
If the diameter is also 6 cm then the triangle would be isosceles .
1. Find the area of the triangle.
Formula: (Base x Height) / 2
= 6X6/2 = 18 cm squared
2. Find area of half-circle.
Formula: (πR^2)/2
= (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared
3. Add the areas.
18 + 14.137 = 32.137 cm squared.
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2
Answer:
[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:
1200 = 30(40) + b
or 1560 = 30(52) + b
Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.
Answer:
im pretty sure its C
Step-by-step explanation:
Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it
You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.
Answer:
Heyyyy... Your ans!
Plz follow. Me..
Step-by-step explanation:
Answer:
Your answer is d=6b
Step-by-step explanation:
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation
Answer:
The number is 32.
The equation is 32 - 9 = 23.
Explanation:
The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.
The required number is 32 and the equation is 10x+y.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation
In mathematics it deals with numbers of operations according to the statements.
Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5 -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1 ------(2)
Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32
Thus, The required number is 32.the equation is 10x+y.
Learn more about arithmetic here:
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Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q = Question 3 options: A) 4x2 + 4x + 4 B) 4x2 – 4x – 4 C) 4x2 – 4x + 4 D) 4x2 + 4x – 4
Answer:
D) 4x2+4x=4
Step-by-step explanation:
3x2+x2=4x2
-x+5x=+4x
2-6=-4
Combine them for 4x2+4x-4
The correct expression will be 4x²+4x-4
What is expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6
On adding the given expressions, we get,
P+Q = 3x²-x+2+x²+5x-6
= 3x²+x²-x+5x+2-6
= 4x²+4x-4
Hence, P+Q = 4x²+4x-4
For more references on expression, click;
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If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False
Answer:
[tex]\boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2+3[/tex]
Put x = x -1
[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]
So, it is true.
Answer:
True
Step-by-step explanation:
The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?
Answer:
80
Step-by-step explanation:
The median is the middle line of the box plot
Answer:
def 80
Step-by-step explanation:
if a person were to. begin exercise regularly, would his or her metabolism increase or decrease? what effect might this have on his or her body?
Answer:
increase
Step-by-step explanation:
The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.
Which value of x makes this equation true? 41 + x = 73 Math item stem image CLEAR CHECK 9 32 73 114
Answer:
32
Step-by-step explanation:
41+x=73
x=73-41
x=32
Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help
Answer:r
Step-by-step explanation:
On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
What is the isolation of a variable in an equation?The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.
How to solve the question?In the question, we are asked to solve for a, from the given equation:
M = 7a + 5ab.
To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.
To isolate 'a', we will follow these steps:
M = 7a + 5ab
or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)
or, a(7 + 5b) = M ... (Changing the sides)
or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))
or, a = M/(7 + 5b) ... (Simplifying)
Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
Learn more about the isolating of a variable at
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3^2x3^5x3^7 In index form
Answer:
[tex]3^{14}[/tex]
Step-by-step explanation:
Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]
To simplify the expression, we apply the addition law of indices.
Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:
[tex]a^x \times a^y=a^{x+y}[/tex]
Therefore, since we have the number 3 as the same base in all the terms:
[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]
Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.
Answer:
x=11.6
Step-by-step explanation:
How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram PQRS
[tex]PQ = x^2 - 10[/tex]
[tex]SR = 3x[/tex]
Required
Find all possible values of x
Every parallelogram have parallel and equal opposite sides;
From the given parameters, one can easily deduce that PQ and SR are opposite sides;
This implies that
[tex]PQ = SR[/tex]
Substitute values of PQ and SR
[tex]x^2 - 10 = 3x[/tex]
Subtract 3x from both sides
[tex]x^2 - 10 -3x = 3x - 3x[/tex]
[tex]x^2 - 10 -3x = 0[/tex]
Rearrange
[tex]x^2 -3x- 10 = 0[/tex]
Now, we have a quadratic equation;
Expand the above expression
[tex]x^2 +2x-5x- 10 = 0[/tex]
Factorize
[tex]x(x+2)-5(x+2) = 0[/tex]
[tex](x-5)(x+2) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 2 = 0[/tex]
Solve for x in both cases
[tex]x = 5[/tex] or [tex]x = -2[/tex]
But x can't be negative;
So, the possible value of x is
[tex]x = 5[/tex]
A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.
Answer:
24 ft.
Step-by-step explanation:
2x12=24