Answer:
x = 112
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 35 when x = 140, then
35 = 140k ( divide both sides by 140 )
0.25 = k
y = 0.25x ← equation of variation
When y = 28, then
28 = 0.25x ( divide both sides by 0.25 )
x = 112
Write the sentence as an inequality.
Ten is at least the product of a number h and 5.
Answer:
5h ≥ 10
Step-by-step explanation:
5 * h ≥ 10
≥ means greater than or equal to which is recognized in the question for " atleast"
What is the value of k in the equation?
20^k/ 20^4 = 20^9
Answer:
k = 13
Step-by-step explanation:
20 ^ k / 20^4 = 20^9
knowing the laws of exponents, diving two numbers of the same base with exponents is like subtracting the exponents, so
k^x / k^y
= k ^ (x - y)
apply that knowledge here
20 ^ k / 20 ^ 4 = 20 ^ 9
20 ^ ( k - 4 ) = 20 ^ 9
now the bases have no use here so ignore them, and just calculate the exponents
k - 4 = 9
solve using inverse operations
k - 4 = 9
+4 +4
k = 13
Answer:
k = 13
Step-by-step explanation:
20^k / 20^4 = 20^9
20^ k = 20^9 * 20^4
this is a math rule
a^n * a^m = a^(n+m)
this is because the denominators of a are the same
in this question , the bases are 20
in the case of multiplication when the bases are the same , we add the powers
hence we add the powers
= 9 + 4
= 13
hence k = 13
Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)
Answer:
Step-by-step explanation:
(47+1)/(3-6) = 48/-3 = -16
y + 1 = -16(x - 6)
y + 1 = -16x + 96
y = -16x + 95
what's the Side number Bottom number
Answer:
When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.
Step-by-step explanation:
B. Franc earns $15 an hour as a delivery driver. His company also pays him $30 a week
for car maintenance. What is the function that describes Franc's weekly earnings?
Answer: 15x+30y
Step-by-step explanation:
The function that describes Franc's weekly earnings is [tex]15x+30y[/tex].
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Earnings of Franc per hour = $15
Earnings of Franc per week = $30
Let x be the number of hours and
y be the number of weeks
Thus the function that describes Franc's weekly earnings is
⇒ [tex]15x+30y[/tex]
Hence w can conclude that the function that describes Franc's weekly earnings is [tex]15x+30y[/tex].
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Your teacher draws a line segment on the board that connects points A and B in the coordinate plane. Using what you know about midpoints, explain how can you find the point that is 1/4 of the distance from A to B?
Answer:
The coordinates of the point, (x₂, y₂), 1/4 distance from A to B is given as follows;
[tex](x_2, \ y_2) = \left (x_1 + \dfrac{x_3 - x_1}{4}, \ y_1 + \dfrac{y_3 - y_1}{4} \right)[/tex]
Step-by-step explanation:
The steps used to find the point, P, 1/4 of the distance from A to B is as follows
Let the coordinate of the point A = (x₁, y₁) and the coordinate of the point B = (x₃, y₃)
Therefore, the coordinates of the point, P, (x₂, y₂), is given from the following relationship;
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
Where;
x₂ = x₁ + (x₃ - x₁)/4
y₂ = y₁ + (y₃ - y₁)/4
By plugging in the values for x₁, y₁, x₃, and y₃, we can find the coordinates of the point P, 1/4 of the distance from A to B
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
Evaluate inverse functions
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
x. |-7|11|-13|6|5|-9|
f(x). 7|12|8|-7|13|5|
Find the following values:
f-1(F-1(13)) =
f-1(8) =
Part 1
Answer: -9---------------------------
Explanation:
Let's focus on evaluating [tex]f^{-1}(13)[/tex] first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5
This means f(5) = 13 and [tex]f^{-1}(13) = 5[/tex]. The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.
We can replace all of [tex]f^{-1}(13)[/tex] with 5 to go from [tex]f^{-1}(f^{-1}(13))[/tex] to [tex]f^{-1}(5)[/tex]
Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9
So f(-9) = 5 and [tex]f^{-1}(5) = -9[/tex]
Overall, [tex]f^{-1}(f^{-1}(13)) = -9[/tex]
===============================================
Part 2
Answer: -13---------------------------
Explanation:
Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13
This means f(-13) = 8 and [tex]f^{-1}(8) = -13[/tex]
The value of [tex]f^{-1}(f^{-1}(13))[/tex] is -9
The value of [tex]f^{-1}[/tex] (8) is 13
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the table,
f(5) = 13
This can be written as,
[tex]f^{-1}[/tex] (13) = 5 _____(1)
f(-13) = 8
This can be written as,
[tex]f^{-1}[/tex] (8) = 13 ______(2)
f(-9) = 5
This can be written as,
[tex]f^{-1}[/tex] (5) = -9 _______(3)
Now,
[tex]f^{-1}(f^{-1}(13))[/tex]
= [tex]f^{-1}[/tex] (5) [ from (1) ]
= -9 [ from (3) ]
Now,
[tex]f^{-1}[/tex] (8) = 13 [ from (2) ]
Thus,
[tex]f^{-1}(f^{-1}(13))[/tex] = -9
[tex]f^{-1}[/tex] (8) = 13
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Last summer, Brianna planted 2 plants
per square foot in her garden box.
How many plants will she plant this
summer?
Answer:
4
Step-by-step explanation:
Because 2 x 2 = 4 :>
44.8 is what percent of 140?
Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).
Let point A be [tex](2, -6)[/tex] and point B [tex](-1, -8)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-6)}{-1 - 2} = \frac{-8 + 6}{-1 -2} = \frac{-2}{-3} = \frac{2}{3}[/tex]
Use the point-slope formula and whichever point you want as , in this case I'll use
[tex]y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}[/tex]
Which point best represents the following ordered pairs?
Answer:
B, A, E, D
Step-by-step explanation:
Hope this helps and can I have brainliest!
You volunteer to go to the store to buy breakfast for the family reunion. A dozen eggs cost $2.40.
What is the unit price (the price per egg)?
These algebraic expressions are not equivalent. Explain why they are not equivalent
Answer:
Sample Answer:
Step-by-step explanation:
The coefficients on the x2 terms cancel each other because 1 – 1 = 0.
The constant was not included.
The coefficients on the x terms were subtracted incorrectly; 8x – 6x = 2x (not negative).
Answer:
Sample Response: If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and -1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and -6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.
Julie, a cafeteria manager, is making a large amount of chicken soup to serve for lunch tomorrow.
For every 2 cups of carrots she uses in the soup, she uses 3 cups of celery. If she uses 18 cups of
celery, how many cups of carrots did she use?
Answer:
12cups of carrots
Step-by-step explanation:
3 2
3 2
3 2
3 2
3 2
3 2
Hope this helps
Given the system:
(3x - 2y +z = -4
-x + y - 2 = 2
2x -y + 2z = 2
The determinant of the coefficient matrix is equal
to:
Answer:
it's 2 and one unique solution
Step-by-step explanation:
The determinant of the coefficient matrix is equal to 2.
What is determinant of a matrix?The determinant of a matrix is the scalar value computed for a given square matrix. Linear algebra deals with the determinant, it is computed using the elements of a square matrix.
According to question,
3x - 2y +z = -4
-x + y - 2 = 2
2x -y + 2z = 2
[tex]\left[\begin{array}{ccc}3&-2&1\\-1&1&-1\\2&-1&2\end{array}\right][/tex]
Expanding the matrix,
3(2-1) + 2(-2+2) + 1(1-2)
=3+0-1
=3-1
=2.
Hence the determinant of the coefficient matrix = 2.
To learn more on determinant of matrix line click :
https://brainly.com/question/4470545
#SPJ2
Algebra homework please help
Answer:
Asympnotes:
Vertical: x = -1
Horizontal: none
i need help with geometry
Answer:
its a
Step-by-step explanation:
Question 8 of 10 Which descriptions from the list below accurately describe the relationship between AXYZ and AUVW? Check all that apply. 24 w y Z 132 10 5 13 26 O A. Same size O B. Same shape C. Similar O D. Congruent SUBMIT
If you multiply each side of XYZ by 2 you get the side lengths of UVW
Because all 3 sides are the same scale the triangles would be the same shape and similar.
The given triangles are having same shape and are similar.
What are similar triangles?Two triangles are said to be similar if they have same shape, their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given are two triangles, ΔXYZ and ΔUVW, we need to check the relation between them,
The two corresponding angles in them are congruent then by AA similarity the triangles are similar,
And we know that the similar objects are of same shape.
Hence, the given triangles are having same shape and are similar.
Learn more about similarity, click;
https://brainly.com/question/26451866
#SPJ7
What is 12*6-1????????????????????????
Answer:
71
Step-by-step explanation:
Little help please? It would be much appreciated :D
Answer:
[tex]\frac{12ac^1^4}{b^3}[/tex]
Step-by-step explanation:
[tex]\frac{(a^{2}b^{4}c)^2 (6a^3b)(2c^5)^3}{4a^6b^1^2c^3}[/tex]
[tex]\frac{(a^4b^8c^2)(6a^3b)(8c^1^5)}{4a^6b^1^2c^3}[/tex]
[tex]\frac{48a^{7}b^9c^1^7}{4a^6b^1^2c^3}[/tex]
[tex]\frac{12ac^1^4}{b^3}[/tex]
in this equation -7=7s+28 what comes first -7+-7 or is it 28+28
Answer:
-7 - 28
Step-by-step explanation:
First, you do -7 - 28 and then divide the equation by 7.
Which function, b or c, is the inverse function for function a?
A- neither function
B- the function b because the graphs of a and b are symmetrical about the line y = x
C- the function c because the graphs of a and c are symmetrical about the y-axis
D- the function c because the graphs of a and c are symmetrical about the line y=x
Function Algebra Unit test
1. (F•g)(x)=3x-9/x+4
2. F^-1 (x) = -3x-4/x-7
3. ( -5 , 0) u ( 0 ,~)
4. D: (-~,2) u (2,~) R: (-~,0) u (0,~)
5. {y|0 _< y< 8}
6. Restricted domain : x _> -4 ;f^-1 (x) = -4+ sqrt x-3
7. The function C because the graphs of A and C are line symmetrical about the Y=X
8. (-~,-3) u (-3,-5/2) u (-5/2,~)
9. ( 4 points )
10. (g • f) (x)= x+3/sqrt x+2
11. (f•g) (x) = x+6 ; [ -2,~)
Answer:
8. Answer is A: (-00,-4) U (-4,-3/5) U (-3/5,00)
9. No not 1-1 function
10. x+4/sqrtx+1 (A)
11. D =x+12;[-3,00)
Step-by-step explanation: The above is 100% correct and I put the rest of answers. I just did it.
Write a real world problem you could answer by solving the equation 8x + 60 = 300
You need to make $300 for a new computer. You have $60 already and you can earn $8 for every lawn that you mow. How many lawns do you need to mow to earn at least $300?
Solve for c in the proportion.
6/c = 48/40 c= ?
Answer:
5 should be correct answer
A truck is carrying 102 bushels of sweet potatoes, 101
bushels of tangerines, and 103 bushels of
summer squash. What is the total weight of the crops?
Answer:
306
Step-by-step explanation:
101+102+103=306
Answer:
71,400
Step-by-step explanation:
1) Given, the crops and their weight:
apples = 40 lbs
sweet potatoes = 60 lbs
tangerines = 40 lbs
summer squash = 65 lbs
2) The Truck is carrying:
10² bushels of sweet potatoes = 60 x 100 = 6,000 lbs
10¹ bushels of tangerines = 40 x 10 = 400 lbs
10³ bushels of summer squash = 65 x 1000 = 65,000 lbs
3) All together, the total weight of the crops are:
6,000 lbs + 400 lbs + 65,000 lbs = 71,400 lbs.
The total weight of the crops is 71,400 lbs.
If f(x) = 2(x − 5), find f(8)
Answer:
It's 6?
Step-by-step explanation:
2(8-5) > 2(3) = 6
or 2(8-5) 16-10= 6
53 is the sum of 17 and Han's score
17 + ham's score = 53
Han's score= 53-17
Han's score= 36
Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use "CI for Single Proportion" and then "Edit Data" to enter the sample information. Click here to access StatKey. In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples. Round your answer to three decimal places.
Answer:
a) Standard Error = 0.010
b) 95% Confidence Interval = (0.0924 , 0.1316)
Step-by-step explanation:
a) The formula for Standard Error = √Sample Proportion (1 - sample proportion)/n
Standard Error = √p (1 - p)/n
We are told in the question that:
In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples
p = x/n
n = 1000 because we were told to use it instead of 400
x = number for people that agree = 112
p = 112/1000
p = 0.112
Standard Error = √p (1 - p)/n
= √0.112 (1 - 0.112)/1000
= √0.112 × 0.888/1000
= √0.099456 /1000
= √0.000099456
= 0.0099727629
Approximately to 3 decimal places = 0.010
Therefore, the standard error is 0.010
b) The Question above also asked that we solve for the 95% Confidence Interval
The formula =
p ± z × Standard Error
p = 0.112
z score for 95% confidence interval = 1.96
Standard Error = 0.010
Confidence Interval =
0.112 ± 1.96 × 0.010
= 0.112 ± 0.0196
0.112 - 0.0196
= 0.0924
0.112 + 0.0196
0.1316
Therefore, the 95% confidence interval = (0.0924 , 0.1316)
Answer:
Step-by-step explanation:
SO yeah there you go
(4.2 X 10 Power of four) X (2 x 10 Power of three)
Answer:
(4.2 X 10,000) X (2 X 1,000)
42,000 X 2,000= 84,000,000
Step-by-step explanation:
Hope this helps
Answer:
(4.2*10^4)*(2*10^3)=8.4*10 power of 7
Step-by-step explanation:
(4.2*10^4)*(2*10^3)
42000*2000
84,000,000
8.4*10^7
Each leg of the race from part a is the same distance. Calculate the team’s average time for each leg of the race. Show your work.
Answer:
58
Step-by-step explanation:
Add all of them up and divide them by 4 because there is 4 number
mark as brainliest also done this in edgenuity.
Answer:
58
Step-by-step explanation:
To find the Average, you would add all the numbers up, then you would want to divide the numbers by the amount of numbers, in this case it would be 4
and then you will find your answer
hoped this helped! (made in 202)
