Write an equation describing the relationship of the given variables. If you need to type an exponent use the "^" key (shift+6) to indicate the power. For example, x squared (x times x) can be typed as x^2. One variable will go within each submission box. If multiple variables are on one side of the equation then type them in alphabetical order.y varies jointly as the square of x, the square of z, and when x=3 and z=4, then y=72The equation is:Answer = AnswerAnswerAnswer
Answers
Given:
y varies jointly as the square of x and square of z
Mathematically:
\(\begin{gathered} y\text{ }\propto x^2z^2 \\ To\text{ equate the expression:} \\ y\text{ = k}x^2z^2 \\ \text{where k = constant of proportionality} \end{gathered}\)when x = 3 and z = 4, y = 72
We need to find the value of the constant of proportionality, k
Substitute for x, y and z in the equation above:
\(\begin{gathered} 72=k(3^2)(4^2) \\ 72\text{ = k(9)(16)} \\ 72\text{ = }144k \\ \\ \text{divide both sides by 144:} \\ \frac{72}{144}\text{ = }\frac{144k}{144} \\ k\text{ = 1/2} \end{gathered}\)The equation showing the relationship between x, y, and z:
\(y\text{ = }\frac{1}{2}x^2z^2\)Related Questions
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answers
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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HAHAHAHAHAHAHAHAHAHA
Answers
Answer:
add my robl ox cupcakeboss40
Step-by-step explanation:
The probability that it will rain tomorrow is 0.1, what is the probability that it won't rain tomorrow?
Answers
Explanation: Probability is out of 1. So if you take 0.1 (probability it will rain) away from 1 you get 0.9.
Write an expression for four more than three times a number.
3n + 4
O 4n + 3
3n
O 3n - 4
Answers
Answer:
3n+4
Step-by-step explanation:
four more than three times a number.
3n + 4
Formulate 600lbs of a 13% cp ration using alfalfa hay (18%cp) and clover 4%cp)
Answers
The amount of Alfalfa hay is 385.71 lbs
The amount of Clover is 572.45 lbs.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We have,
Alfalfa hay = 18 % CP
Clover = 4% CP.
The total amount of ration is 600 lbs of a 13% CP.
Let x pounds of alfalfa hay have been used.
The amount of clover will be 600 - x lbs.
The CP amount in 600 lbs mixture will be equal to the sum of CP amounts in x lbs alfalfa and (600 - x) lbs clover.
13% of 600 = 18% of x + 4% of (600 - x)
We need to find x.
13/100 x 600 = 18/100 x (x) + 4/100 x (600 -x)
78 = 18x / 100 + 24 - 4x/100
78 - 24 = 18x/100 - 4x/100
54 = 14x / 100
14x = 54 x 100
x = 5400/14
x = 385.71 lbs
Thus,
The amount of Alfalfa hay= 385.71 lbs
The amount of Clover = 600 - 385.71 = 572.45 lbs.
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You have a recipe for crepes. The recipe makes 8 crepes. You need 100 crepes for a school event. Increase the recipe proportionally to make 100 crepes.
Answers
first let's find the ratio, how much we need to increase the recipe
the recipe is for 8 crepes, so if we divide it by 8, will be for 1 crepe
and then if we multiply it by 100 will be for 100 crepes, so the ratio is:
\(\begin{gathered} x\cdot\frac{100}{8} \\ or\text{ x}\cdot\frac{25}{2} \end{gathered}\)x: the value of the recipe.
So now all we need to do is multiply the recipe by 25/2
Flour
original: 1 cup
for 100 crepes:
1*25/2 = 25/2
25/2 is 12 1/2 so Tile 1
Eggs
original:2
for 100 crepes:
2*25/2 = 25 so Tile 2
Milk
original: 1/2 cups
for 100 crepes:
1/2*25/2= 6 1/4 so Tile 3a
Water
Original: 1/3 cups
for 100 crepes:
1/3*25/2= 4 1/6 So Tile 4
Salt
Original: 1/4 teaspoon
for 100 crepes:
1/4*25/2= 3 1/8 so Tile 5
Question 6 of 502 PointsWhat transformations have been made from the parent graph f(x) = loga to get f(x) = log(x - 2)?
Answers
In general, a shift of a function f(x) in a units to the rigth is given by:
\(f(x)\rightarrow g(x)=f(x-a).\)In this case, we have f(x) = log x, and g(x) = log(x - 2).
Comparing this data with the general transformation from above, we identify a = 2.
AnswerD. 2 units in the x direction
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
Answers
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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4(1-x)<16 solve and graph
Answers
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 39 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
Answers
The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.
The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:
Output = (6 * x) - 80
The problem states that the input and output are the same. Therefore, we can set up the equation:
x = (6 * x) - 80
To solve for x, we'll rearrange the equation and isolate the variable:
x - 6 * x = -80
Combine like terms:
-5 * x = -80
Divide both sides by -5:
x = (-80) / (-5)
Simplifying the division:
x = 16
Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.
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Taylor's dad lifted 80°g of weight how much more did Taylor's dad left than Davin record your answering grams
Answers
The weight that Taylor's dad lifted higher will be 30g.
What is weight?It should be noted that weight simply means the mass that a body contains.
From the information, Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight.
The weight that Taylor's dad lifted more than Davin's dad will be:
= Weight of Taylor's dad - Weight of Davin's dad
= 80 - 50
= 30g
The difference is 30g.
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Taylor's dad lifted 80g of weight and Davin's dad lifted 50g of weight. How much more did Taylor's dad lift than Davin?
i need some help with this
Answers
Two angles of a triangle have the same measure and the third one is 30 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answers
Answer:
75 degrees
Step-by-step explanation:
Isosceles triangle with 3rd angle being 30 degrees:
2x + 30 = 180
2x = 150
X = 75
1 5.2.3 Quiz: Completing the Square
Question 3 of 10
Solve this quadratic equation by completing the square.
x2 + 4x = 15
Answers
Answer:
x=5/2 or x=2.5
Step-by-step explanation:
x time 2 + 4x=15
6x=15
2x=15
2x=5
jada and christian are saving money. Jada starts with $400 in her savings account and adds $15 per week. Christian starts with $250 in his savings account and adds $25 per week. who will have more money in the account after 13 weeks
Answers
The person that would have more money in their account is Jada.
What is the total money that Jada will have in her account in 13 weeks?Total amount = starting balance + (number of weeks x amount saved per week)
$400 + ($15 x 13)
$400 + 195
= $595
What is the total money that Christian will have in her account in 13 weeks?
Total amount = starting balance + (number of weeks x amount saved per week)
$250 + ($25 x 13)
$250 + 325
= $575
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Find the following Part A and Part Bthen compare if it's an function or not
Answers
SOLUTION
Looking at the question below
The Domain is the x-values, that is the first items, while the range is the y-values, that is the second items.
So for the first question,
Domain is: {6, 3, -6, -1, and -2}
Range is: {7, -8, -2, 4 and -9}
For the second question,
Domain is: {-2, 1, 6, -4 and -5}
Range is: {3, -4, -6, -7, and 4}
Now, in a function, each x-value may have only one unique y-value, but each x-value cannot have two or more y-values. Also each y-value may have more than one x-value.
Looking at the questions above, each x-value has only one unique y-value.
Hence both questions are functions
write the equation of the line in slope intercept form y=mx+bm=5/6b=-9/4p=7/9o=4
Answers
We want to know the equation of the line with the data given:
\(\begin{gathered} m=\frac{5}{6} \\ b=-\frac{9}{4} \end{gathered}\)In slope intercept form. In general, the slope intercept form is given by:
\(y=mx+b\)where m represents the slope, and b the y-intercept. In this case, we just have to replace the values onto the formula and obtain the equation:
\(y=\frac{5}{6}x-\frac{9}{4}\)Now, assuming that p and o represent the values of slope and y-intercept of another line, we get that the corresponding equation will be:
\(y=\frac{7}{9}x+4\)can you find the slope for, (5,-3) & (10,-6) ?
Answers
EXPLANATION:
To find the slope we must use the following formula:
\(m=\frac{y2-y1}{x2-x1}\)Now we must identify at the given points which correspond to x and which to y; and then we must replace them in the slope formula;
Points: ( 5, -3) and (10, -6)
x1 y1 x2 y2
Now we replace;
\(\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{-6-(-3)}{10-5} \\ m=\frac{-3}{5} \\ \text{ANSWER: The slope is m=}\frac{-3}{5} \end{gathered}\)A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?
Answers
Answer:
9
Step-by-step explanation:
→ Write an expression for the rectangles width
x
→ Write an expression for the rectangles length
7x
→ Now write an equation for the perimeter
x + 7x + x + 7x = 144
→ Simplify
16x = 144
→ Solve
x = 9
2. A coffee maker and a juice maker are making beverages. The rate at
which the coffee is being made is given by y = 6x, where y represents the
amount of coffee in mL and x represents the time passed in seconds. The
amount of juice that has been made at different times is summarized in
the table.
thing Company
A. At what rate is the coffee maker making coffee?
B. At what rate is the juice maker making juice?
C. Is juice or coffee being made at a faster rate?
Time (s)
0
1
2
3
Juice (mL)
0
8
16
24
Answers
(A) The rate of making coffee by coffee maker is 6 mL/second.
(B) The rate of making juice by juice maker is 8 mL/second.
(C) Juice is being made at a faster rate.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The rate of coffee made by coffee maker is represented by,
y = 6x (1)
Here, y represents the amount of coffee in mL and x represents the time passed in seconds.
Also, The rate of juice made by juice make can be represented by the given table as,
k = 8h (2)
Here, k represents the amount of juice in mL and h represents the time passed in seconds.
(A)
To find the rate of making coffee, solve the equation (1),
y = 6x
⇒ y/x = 6 mL/second
The rate of making coffee by coffee maker is 6 mL/second.
(B)
To find the rate of making juice, solve the equation (2),
k = 8h
⇒ k/h = 8 mL/second
The rate of making juice by juice maker is 8 mL/second.
(C)
Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.
Therefore, juice is being made at a faster rate.
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1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
Answers
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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options 1. a (-3,50) b (-2,0) c (0,-4) d (1,-6) 2. a (-3,50) b (0,-4) c (-1,-6) d (2,0)3. a (-3,50) b (-2,0) c (0,-4) d (2,0)
Answers
Answer:
The x-intercepts shown in the table are (-2, 0) and (2, 0).
The y-intercept shown in the table is (0, -4)
Explanation:
The x-intercepts are the points where the value of f(x) is 0. Then, these points are (-2, 0) and (2, 0)
Additionally, the y-intercept is the point where the value of x is 0, so the y-intercept is (0, -4).
Then, the answers are:
The x-intercepts shown in the table are (-2, 0) and (2, 0).
The y-intercept shown in the table is (0, -4)
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answers
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
what is 11 divided by 2872?
Answers
Answer:
Step-by-step explanation:
190 muitiplied by 186
Answers
Answer:
35340
Step-by-step explanation:
please like my answer
Answer: 35340
Step-by-step explanation: just multiply
help please thank you
Answers
Answer:
Step-by-step explanation:
each line is equivalent
(3.5 x 10¹³ - 1.4 x 10¹²) / 3 x 10⁹
(3.5 x 10¹³ - 0.14 x 10¹³) / 3 x 10⁹
3.36 x 10¹³ / 3 x 10⁹
(3.36 / 3) x 10⁽¹³ ⁻ ⁹⁾
1.12 x 10⁴
A farmer looks over a field and sees 34 heads and 94 feet. Some are goats, some are geese. How many of each animal are there?
Answers
Answer: 13 goats and 21 geese
Step-by-step explanation:
Since we know some are goats, which have four feet, and some are geese, which have two feet, we will set up an equation.
Let x be goats and y be geese.
4x + 2y = 94
Next, we know both animals [usually] only have one head.
x + y = 34
Lastly, we will solve this as a system of equations.
➜ I graphed the equations, see attached, but you can also solve by substitution or other methods.
➜ When graphing, the point of intersection is the solution. This means there are 13 goats and 21 geese.
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What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answers
Answer:
the product is 1.32057606543E32
Angle TLN equals (3X -18)°, angle MZQ equals (5X +14)° and
Answers
For the given figure, x = 23° and y = 129°
Parallel lines:
Parallel lines are lines that always stay the same distance apart and never meet.
Transversal line :
A transversal is a line that crosses two or more other lines.
given,
∠TLN = (3x - 18)°
∠MZQ = (5x + 14)°
∠NLM = y°
Now,
∠MZP + ∠MZQ = 180° (Linear Pair)
∠MZP = 180° - ∠MZQ ...........(I)
again,
∠NLM + ∠TLN =180° ...........(II) (Linear Pair)
As, ∠TLN = ∠MZP (Corresponding Angle)
(3x - 18)° = 180° - ∠MZQ
(3x - 18)° = 180° - (5x + 14)°
3x + 5x = 180° - 14° + 18°
8x = 184°
x = 184 / 8
x = 23°
From (II),
∠NLM + ∠TLN =180°
y° + 3x - 18° = 180°
y = 180 - 3x + 18
= 180 - 3* 23 + 18
= 180 - 69 +18
y = 129°
For the given figure,
x = 23° and y = 129°
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(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)
Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?
A) It is not smooth or rough surfaces that affects friction. It is the size of the push.
B) When an object moves across a rough surface, there is no friction.
C) When an object moves across a smooth surface, the friction increases.
D) When an object stops moving, there is no friction.
(Here is an image if needed) :
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
number is correct answer