Answer:
I pretty sure the answer is 171,000 . but if i'm wrong someone can correct me
Step-by-step explanation:
Which of the 5 methods for solving quadratic equations would be most efficient to solve the equation -14x^2 + 6x = 2.7? Explain why.
Answer:
x= -2.7
Step-by-step explanation:
-14x/2 + 6x =2.7
-7x + 6x =2.7
-x=2.7
x=-2.7
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −80 °C. The physicist changes the metal's temperature at a steady rate of −4 °C per hour. Let t represent temperature in degrees Celsius.
Answer:
We conclude that the physicists can change the temperature 20
. Step-by-step explanation: We know that a physicist must make sure that the temperature of metal at 0° C gets no colder than -80° C. The physicist changes the metal's temperature at a steady rate of -4° C per hour. We calculate how long can the physicists change the temperature. We get:
Put in order from greatest to svllems 12 1/2, 12.09,. 12 2/5,12.8
Answer:
12.8
12 1/2
12 2/5
12.09
saleswoman sells a dried-fruit mixture for $ 5.90 per pound and nuts for $ 14. 75per pound. She wants to blend the two to get a -15lb mixture that she will sell for $ 9.44per pound. How much of each should she use? Solve using matrices.
To get a 15-lb mixture, she should use enter your response here( = -lb )of dried-fruit mixture and enter your response here( = lb )of nuts.
A 15-lb mixture, she should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts.
Based on the given information, we can set up the following system of equations:
Equation 1: x + y = 15 (since the total weight of the mixture is 15 pounds)
Equation 2: (5.90 * x) + (14.75 * y) = 9.44 * 15 (since the total cost of the mixture is the cost per pound multiplied by the weight of each component)
Now, let's convert this system of equations into matrix form:
| 1 1 | | x | | 15 |
| 5.90 14.75 | | y | = | 9.44 * 15 |
To solve for x and y, we can use matrix algebra. We can multiply the inverse of the coefficient matrix by the right-hand side matrix to get the solution matrix:
| x | | 1 1 |^-1 | 15 |
| y | = | 5.90 14.75 | | 9.44 * 15 |
Using matrix calculations, we find that the inverse of the coefficient matrix is:
| 0.0877 -0.0576 |
| -0.0059 0.0678 |
Now, multiplying the inverse matrix by the right-hand side matrix gives us:
| x | | 0.0877 -0.0576 | | 15 |
| y | = | -0.0059 0.0678 | * | 9.44 * 15 |
Simplifying the multiplication gives us:
x = 1.256
y = 13.744
Therefore, the saleswoman should use 1.256 pounds of dried-fruit mixture and 13.744 pounds of nuts to get a 15-pound mixture.
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3 problems for 1 final answer. fairly easy 8th grade math.
When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)
How do i determine the value of A/5 + √(B - C)?
First, we shall determine the value of A. Details below:
A = Product of roots in x² - 11x + 30Value of A =?Quadratic equation is expressed as:
x² - (sum of root)x + product of root
Comparing the above with x² - 11x + 30, we have
x² - 11x + 30 = x² - (sumof root)x + product of root
Product of roots = 30
Thus,
A = 30
Next, we shall determine the value of B. details below:
f(x) = x² + 5Value of B = f(2) =?f(x) = x² + 5
f(2) = 2² + 5
f(2) = 9
Thus,
B = 9
Next, we shall determine the value of C. Details below:
(x² - 2x - 24) / (x + 4)Value of C = Remainder =?Let
x + 4 = 0
Thus,
x = -4
Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:
Remainder = x² - 2x - 24
Remainder = (-4)² - 2(-4) - 24
Remainder = 0
Thus,
C = 0
Finally, we shall determine value of A/5 + √(B - C). Details below:
A = 30B = 9C = 0Value of A/5 + √(B - C) =?A/5 + √(B - C) = 30/5 + √(9 - 0)
A/5 + √(B - C) = 6 + √(9
A/5 + √(B - C) = 6 + 3
A/5 + √(B - C) = 9
Thus, the value of A/5 + √(B - C) is 9 (option B)
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4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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If AABC~ADEF, what is the scale factor of AABC to ADEF?
Given:
\(\Delta ABC\sim \Delta D E F\)
\(AB=18,BC=21,AC=24,EF=7\)
To find:
The scale factor of \(\Delta ABC\) to \(\Delta D EF\).
Solution:
We have,
\(\Delta ABC\sim \Delta D EF\)
So, side BC is the corresponding side of EF.
Now, scale factor of \(\Delta ABC\) to \(\Delta D EF\) is
\(\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}\)
\(\text{Scale factor}=\dfrac{EF}{BC}\)
\(\text{Scale factor}=\dfrac{7}{21}\)
\(\text{Scale factor}=\dfrac{1}{3}\)
Therefore, the scale factor of \(\Delta ABC\) to \(\Delta D EF\) is \(\dfrac{1}{3}\).
2x+3
12x-x
X =?
Np=?
Mnpoc
In the given rectangle,
The value of x is 3
The value of NP is 18
Diagonals of a rectangle: Calculating the values of x and NPFrom the question, we are to determine the value of x in the given diagram.
The diagram shows a rectangle with its diagonals.
Since the diagonals of a rectangle bisect each other, we can write that
2x + 3 = 12 - x
Solve the equation for x
2x + 3 = 12 - x
Add x to both sides of the equation
2x + x + 3 = 12 - x + x
3x + 3 = 12
Subtract 3 from both sides of the equation
3x + 3 - 3 = 12 - 3
3x = 9
Divide both sides of the equation of by 3
3x / 3 = 9 / 3
x = 3
Thus,
The value of x is 3
To determine the value of NP
NP = 2(12 - x)
Substitute the value of x
NP = 2(12 - 3)
NP = 2(9)
NP = 18
Hence, the value of NP is 18
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A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.
\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)
\(perimeter = 2x + 2y \\ area = xy\)
\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)
\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)
GEOMETRY
Surface area of a cube or a rectangular prism
There is a rectangular prism with a length of 8 yd, a width of 6 yd, and a height of 5 yd.
Find the surface area of this rectangular prism.
Be sure to include the correct unit in your answer.
Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) Three coins are tossed; the result is at most one head. Which of the following sets of elements are included in the sample space
HHTHTTTTHTTTTHTHHHTHHHTH
List the elements of the given event. (Select all that apply.)
HHT
HTT
TTH
TTT
THT
HHH
THH
HTH
List the elements of the given event. (select all that apply)
HTT
TTH
HTH
THH
THT
HHH
TTT
HHT
Answer:
Even set = {HTT, THT, TTH, TTT}
Step-by-step explanation:
We are given that three coins are tossed; the result is at most one head.
And we have to find the sets of elements that are included in the sample space.
Firstly, as we know that when three coins are tossed, the total number of cases formed is 8.
Let Head on the coin be represented by 'H' and the Tail on the coin be represented by 'T'.
So, the sample space so formed is;
S = {HHH, HTH, HHT, THH, THT, TTH, HTT, TTT}
Now, our event is at most one head. So, the sample space for the favorable event is given by;
Even set = {HTT, THT, TTH, TTT}
In this, three cases are of head occurring only once and one case is of head not appearing in three tosses of a coin.
Friday
Find the prime factorization of 96. Use a factor tree. (If you are not sure what
to do, check Chapter 1 in your textbook.)
A grocery store charges $3.25 per gallon of fruit juice. The total cost c of g gallons of fruit punch is equal to 3.25 times g. The rule is
3.25g.
Fill in the table below using the rule to find the total cost of buying 2, 3, or 4 gallons of juice.
Step-by-step explanation:
To find the total cost of buying 2, 3, or 4 gallons of juice, we can use the given rule:
c = 3.25g
Plugging in g = 2, 3, or 4, we get:
c(2) = 3.25(2) = 6.50
c(3) = 3.25(3) = 9.75
c(4) = 3.25(4) = 13.00
So the total cost of buying 2 gallons of fruit punch is $6.50, the total cost of buying 3 gallons is $9.75, and the total cost of buying 4 gallons is $13.00.
The table can be filled as follows:
| Gallons of juice (g) | Total cost (c) |
|---------------------|----------------|
| 2 | $6.50 |
| 3 | $9.75 |
| 4 | $13.00 |
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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Which figure has at least one line of symmetry?
Responses
rectangle
Image with alt text: rectangle
right trapezoid
Image with alt text: right trapezoid
parallelogram
Image with alt text: parallelogram
I don't know.
a. The figure that has at least one line of symmetry is rectangle.
b. Another name for <XYZ in the figure is <Y.
What is a line of symmetry?A given straight line drawn from one edge to another edge of a figure in such a way that it divides a given figure into two equal parts with the same characteristics is known as the line of symmetry. Thus a given figure may have more than one line of symmetry, depending on the figure.
Considering the given figures in the question, we have;
ai. Rectangle: This is a quadrilateral in which opposite sides are equal and parallel. It has more than one line of symmetry.
ii. Right trapezoid: This is a trapezium in which one of its internal angles is a right angle. It has only one line of symmetry.
iii. Parallelogram: This is a quadrilateral in which the opposites are equal but slant, while the top and base are equal and not slant. It does not have a line of symmetry.
b. In the given figure, another name that can be given to <XYZ is <Y.
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"∠Y" is the answer of which you seek.
I want you guys to be able to answer your questions with assurance that my answer will work for you guys. I hope this helps you guys get 100% on that k12 diagnostic!
SCREENSHOT
Pls help I’ll brainlest ASAP
Answer:
x=24
Step-by-step explanation:
If h(x) = -2x + 6, find x if h(x) = 12.
\(-2x+6=12\\2x=-6\\x=-3\)
Find the missing term in each sequence
Answer:
The answer would be 58.32.
Step-by-step explanation:
Good luck ^___^ .
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
the figure below is dilated by a factor of 4 centered at the orgin. plot the resulting image
(where are the points pls im so confused)
The image that results from the dilation transformation is as shown in the attached file with coordinates as:
G'(0, -8)
H'(8, 0)
I'(-8, 4)
What is the coordinate of the triangle after dilation?A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.
The coordinates of the given triangle are:
G(0, -2)
H(2, 0)
I(-2, 1)
Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:
G(0, -2) * 4 = G'(0, -8)
H(2, 0) * 4 = H'(8, 0)
I(-2, 1) * 4 = I'(-8, 4)
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How to solve (2n+7)=(3n+3)
Answer:
n = 4
Step-by-step explanation:
Let's put all of our variables on one side, and all of our non-variable numbers on the other. (I like to do this so that the variable isn't negative. You'll still get the same answer.)
So we can minus 2n on both sides, giving us 7 = n + 3.
Then, let's do our non-variables and subtract 3 from each side. This gives us 4 = n or n = 4.
Therefore, n = 4.
A gift box is in the shape of a right rectangular prism, as pictured below. What is the volume, in cubic centimeters, of the gift box? 10 x 5 x 9
Answer:
450 cubic cm
Step-by-step explanation:
The formula for volume is length*width*height, so 10*5*9=450
What is the difference between change in quantity and change in quantity demanded?
A change in demand means that the entire demand curve shifts either left or right. A change in quantity demanded refers to a movement along the demand curve, which is caused only by a chance in price.
The product of two numbers is 30 if one of the numbers is six over 11 what is the other number
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
Ambree help me please
Answer:
The mean distance to his friends' house is between 2 -3 blocks.
Step-by-step explanation:
1. Mean = Average.
Average = (n1+n2+n3....nx)/x
2. The average = 1+2+5+3+2+2+5+3/8
3. Therefore, the answer is 2.875, making the mean between 2 and 3
Answer:
The statement that supports the data is the mean distance to his friends' houses is in between 2 and 3 blocks.
Step-by-step explanation:
What is mean, median and mode?
Mean: The average of the given data points.
Median: The central point of the whole data set.
Mode: The number that occurs for the maximum times in the data set.
Given:
Karl records the number of city blocks from his house to each of his friends houses.
Data set for the number of city blocks to eight friends houses:
{1, 2, 5, 3, 2, 2, 5, 3}
The first option: it is given that the maximum number of blocks the Karl lives from his friend is 4, but according to the data set, the maximum number of house blocks should be 5.
Hence, this option is incorrect.
The second option: It is given that the mode shows that Karl has 3 friends who live 3 blocks from him, but according to the given data set Karl has 3 friends who lives 2 blocks from him. Hence the mode is 2.
Hence, this option is incorrect.
The third option: It is given that the minimum distance from Karl's house to a friend's is 2 blocks, but according to the given data set the minimum distance from Karl's house to a friend's is 1 block.
Hence, this option is incorrect.
The fourth option: It is given that the mean distance to his friend's houses is in between 2 and 3 blocks.
We will find the mean for the given data set.
⇒ Mean = (Sum of all the data points) / (Total number of data points)
⇒ Mean = (1 + 2 + 5 + 3 + 2 + 2 + 5 + 3)/8
⇒ Mean = 23/8
⇒ Mean = 2.875
∴ The mean distance from Karl to his friend's houses is 2.875 which is in between 2 and 3.
Hence, this option is correct.
Therefore, the fourth option which says the mean distance between Karl and his friend's houses is in between 2 and 3 is correct.
12. Suppose U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} is the universal set and G = \{1, 2, 3, 4, 5, 6, 7\} . What (1 point)
O \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}
O cannot be determined
O \{1, 2, 3, 4, 5, 6, 7\}
O \{8, 9, 10\}
is G'?
The complement of A∪B is A′∩B ′.
In sets, what does complement mean?A set of components in the universal set that are not a part of the initial set is known as the complement of a set in mathematics. Discover what a subset and its complement are, how to calculate a subset's complement, and the proper notation to use when writing a subset and its complement.
Given, universal set, U={1,2,3,4,5,6,7}
A={1,2,5,7}
B={3,4,5,6}
(A∪B) ′=U−(A∪B)
={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕ
A′∩B′=(U−A)n(U−B)
={3,4,6}n{1,2,7}=ϕ
Hence ( A∪B)′=A′∩B ′.
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Question 7 of 9
A
B
Answer here
D
Given that ZBCD and ZBCA form a straight angle, if ZBAC measures 20
degrees and ZABC measures 45 degrees, then the measure of ZBCD is
degrees.
An insurance policy sells for $800. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim, anaverage of 1 in 250 policyholders will file a$30,000 claim, and an average of 1 in 500 policyholders will file a $60,000 claim. Find the expected value (to the company)per policy sold. If the company sells 30,000 policies, what is the expected profit or loss?The expected value per policy is _____.(Simplify your answer.)
Given data:
1/50 or 0.02 of the policyholders - $20,000 claim
1/250 or 0.004 of the policyholders - $30,000 claim
1/500 or 0.002 of the policy holders - $60,000 claim
Find: expected value per policy sold
Solution:
The formula for expected value is:
\(E(x)=\sum ^{}_{}(x_i)p(x_i)\)where E(x) = the expected value
xi = the value that x takes
p(xi) = the probability for that x value to occur.
Given the data that we have above, let's plug in those to the formula for expected value.
\(\begin{gathered} E(x)=0.02(20,000)+0.004(30,000)+0.002(60,000) \\ E(x)=400+120+120 \\ E(x)=640 \end{gathered}\)The expected value per policy is $640.
Q6. A vertical flag pole is attached to the top edge of a building. A man stands 40m from the base of the building. From his view point, the angle of elevation to the bottom of the flag pole is 30°; to the top of the flag pole is 65°. Determine the height of the flag pole if the man is 1m tall. Draw diagram before working out
the height of the flag pole is approximately 57.18 meters.
How to find?
We can see that triangle ABC and triangle ACD are right triangles.
Let's first find the height of the building BC using the right triangle ABC:
tan 30° = BC/40
BC = 40 tan 30°
BC = 20√3
BC ≈ 34.64 m
Now, we can find the height of the flag pole CD using the right triangle ACD:
tan 65° = CD/BC
CD = BC tan 65°
CD = (20√3) tan 65°
CD ≈ 56.18 m
Finally, we can find the total height of the flag pole by adding the height of the man (1 m):
total height = CD + 1
total height ≈ 57.18 m
Therefore, the height of the flag pole is approximately 57.18 meters.
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