Answer:
Step-by-step explanation:
Answer:
#4Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
Point M is at:
8 + 2.5 = 10.5 if E is to the right of D8 - 2.5 = 5.5 if E is to the left of D#5Given
XY = 7, YZ = 2x - 1, XZ = 30Since XZ = XY + YZ, set up an equation and solve for x:
7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6The distance from your house to friend's is LN.
We have:
M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2Set up an equation, solve for x:
3x = 2x + 23x - 2x = 2x = 2Find the distance LM:
LM = 3*2 = 6Find the distance LN:
LN = 2*LM = 2*6 = 12Plot each point on the coordinate plane. (8, 7) (2, 9) (5, 8)
To plot each point on the coordinate plane (8, 7), (2, 9) and (5, 8), we need to follow the following steps:
Step 1: Firstly, we need to understand that the coordinate plane is made up of two lines that intersect at right angles, called axes. The horizontal line is the x-axis, and the vertical line is the y-axis.
Step 2: Next, locate the origin (0,0), where the x-axis and y-axis intersect. This point represents (0, 0), and all other points on the plane are located relative to this point.
Step 3: After locating the origin, plot each point on the coordinate plane. To plot a point, we need to move from the origin (0,0) a certain number of units to the right (x-axis) or left (x-axis) and then up (y-axis) or down (y-axis). (8,7) The x-coordinate of the first point is 8, and the y-coordinate is 7. So, from the origin, we move eight units to the right and seven units up and put a dot at that location. (2,9)
The x-coordinate of the second point is 2, and the y-coordinate is 9. So, from the origin, we move two units to the right and nine units up and put a dot at that location. (5,8) The x-coordinate of the third point is 5, and the y-coordinate is 8. So, from the origin, we move five units to the right and eight units up and put a dot at that location.
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An image of a parallelogram is shown. A parallelogram with a base of 22 and one-half feet and a height of 18 and one-fourth feet. What is the area of the parallelogram? 396 ft2 four hundred ten and five-eights ft2 792 ft2 eight hundred twenty-one and one-fourth ft2
The area of the parallelogram will be 3285/8 square feet.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram.
Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
The length is 22 ¹/₂ ft. And the height is 18 ¹/₄ feet.
Convert the mixed fraction number into a fraction number. Then we have
22 ¹/₂ = 45/2 feet
18 ¹/₄ = 73/4 feet
The area of the parallelogram is given as,
A = (45/2) x (73/4)
A = 3285 / 8 square feet
The area of the parallelogram will be 3285/8 square feet.
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Answer: I know the answer
The correct answer would be
410 and 5/8
410 and 5/8 can also be written as
410.625 and as
3285/8
Step-by-step explanation:
Multiply 18 1/4 by 22 1/2 and then you will get an answer. then take the answer that you got and convert it into a mixed number and your answer is 410 5/8
Which expression is equivalent to 3x5x5x5x5x5x5?
In Exercises 1-8, let f(x) = Vx + 3, g(x) = 4x - 3, and h(x) = 3x? + 3. Find the
indicated value.
1. f(g(9))
2. g(f(6))
3. g(h(1))
4. h(g(0))
5. h(S(-2))
6. f(h(5))
7. &(g(1.5))
8. f(f(-2))
In Exercises 9-16, let f(x) = Vx - 6, g(x) = 2x - 5, and h(x) = x2 - 3. Find the
indicated value.
9. f(g(10))
10. g(f(31))
11
g(h(1)
12. h(g(2))
13. f(h(5))
14. h(f(42))
15. 8 8(3)
16. h(h(1))
In Exercises 17-26, find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). State the domain
of each composition.
17. f(x) = 6x, g(x) = x - 2
18. f(x) = x + 7, 8 (x) = |x - 9|
20. f(x) = x° + 2, g(x) = 2x - 3
19. f(x) = 4x3, 8(x) = * - 2
21. f(x) = 2x', g(x) = 3x - 9
22. f(x) = -38-', 8 (x) = x2 - 4
23. ((x) = 2x + 5, g(x) = Vx - 3
24. S (x) = 3x - 2, g(x) = V2r - 2
25. f(x) = x + 2. g(x) = y? + 3x - 7
26. f(x) = 2x - 1. g(x) = r° - 3x + 2
In Exercises 27 and 28, let f(x) = x2 + 2 and g(x) = 5x. Describe and correct the error
in performing the composition.
28.
27.
X
S(g(x)) = S(r° + 2)
X s(5 (0)) = 8(1° + 2)
= 5,2 + 2
= 5,2 + 10
29. The function C(x) = 10x + 85 represents the cost (in dollars) of producing * handbags.
The number of handbags produced in / hours is represented by x(p) = St.
The values based on the functions given will be:
1. f(g(9)) = V33 + 3
2. g(f(6)) = 4V6 + 9
3. g(h(1)) = 21
4. h(g(0)) = -6
5. h(S(-2)) = -3
6. f(h(5)) = V18 + 3
7. &(g(1.5)) = 3
8. f(f(-2)) = 2
How to calculate the valuef(g(9)) = f(4(9) - 3) = f(33) = V33 + 3
g(f(6)) = g(V6 + 3) = 4(V6 + 3) - 3 = 4V6 + 9
g(h(1)) = g(3(1) + 3) = g(6) = 4(6) - 3
h(g(0)) = h(4(0) - 3) = h(-3) = 3(-3) + 3
h(S(-2)) = h(-2) = 3(-2) + 3
f(h(5)) = f(3(5) + 3) = f(18) = V18 + 3
&(g(1.5)) = &(4(1.5) - 3) = &(3) = 3
f(f(-2)) = f(V(-2) + 3) = V(V(-2) + 3) + 3 = V1 + 3 = 2
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when any object is in mechanical equilibrium , what can be correctly stated about all the forces taht act on it? must the net force necessarily be zero?
The net force must all be equal to zero (0) for an object to be in mechanical equilibrium, in order for the sum of all forces to be equal to each other.
What is mechanical equilibrium?In Classical mechanics, mechanical equilibrium can be defined as a phenomenon in which the net force acting on a physical object or body is equal to zero because it is at rest or in an unaccelerated motion.
What is a net force?A net force can be defined as the vector sum of all the forces that are acting on a physical object or body. This ultimately implies that, a net force is a single (one) force which substitutes the effect of all the forces that are acting on a physical object or body when it is in mechanical equilibrium.
In this context, we can infer and logically deduce that the net force must all be equal to zero (0) for an object to be in mechanical equilibrium, in order for the sum of all forces to be equal to each other.
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Use the dropdown boxes below to complete the statement about the following quadratic function: g (x) = -5x^2 + 10x The function has a [ Select ] value of [ Select ] that occurs at x equals [ Select ] .
Answer:
i dont see boxes and yea
Step-by-step explanation:
IXL -8th grade math W.14
Larry had already read 11 books this year before joining a book club, and he plans to read 1 book every month now that he has joined. If Larry has read 28 books so far, how many months has he been with his book club?
Answer with the number of months he has been in the book club.
Answer:
I think seventeen months
You have learned that different types of rocks are found in Earth’s layers. Their composition affects their densities. What can you conclude based on the information in the table?
As we move from the top layer (crust) to the bottom layer (lower mantle), the density of the Earth generally increases.
We have,
The table provided shows the density values for different layers of the Earth, specifically the crust, upper mantle, and lower mantle.
From the given data, we can observe that the density increases as we move from the top layer (crust) to the bottom layer (lower mantle).
The crust has the lowest density, ranging from 2.2 to 2.9 g/cm³.
As we move downwards to the upper mantle, the density increases to a range of 3.4 to 4.4 g/cm³.
Finally, in the lower mantle, the density further increases to a range of 4.4 to 5.6 g/cm³.
This pattern suggests that the materials present in the lower layers of the Earth are denser than those in the upper layers.
This aligns with the understanding that the Earth's interior becomes progressively denser towards the core, as different materials with varying densities and compositions are found at different depths.
The variation in density is attributed to the different compositions of rocks and minerals present in each layer.
The denser materials in the lower layers likely consist of heavier elements and compounds, contributing to the overall increase in density.
Therefore,
Based on the information in the table, we can conclude that there is a general trend of increasing density as we move deeper into the Earth's layers, from the crust to the upper mantle and then to the lower mantle.
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The complete question:
Density
Layer top bottom
crust 2.2 2.9
upper mantle 3.4 4.4
lower mantle 4.4 5.6
You have learned that different types of rocks are found in Earth’s layers. Their composition affects their densities. What can you conclude based on the information in the table?
What is the surface area of the three-dimensional figure represented by this net?
The net pattern has a square base of side lengths 3 inches, 3 inches, 3 inches and 3 inches are attached with four congruent triangles of height 8 inches.
Use the on-screen keyboard to type the correct number of square inches in the box below.
$$
The surface area of the three-dimensional figure represented by this net is 54 square inches, which is calculated by multiplying the area of the base (9 square inches) by the height of the four congruent triangles (8 inches).
The surface area of the three-dimensional figure represented by this net is 54 square inches. To calculate this, first we need to find the area of the base. The base is a square, with side lengths of 3 inches each. Therefore, the area of the base is 3 x 3 = 9 square inches. Next, we need to find the height of the four congruent triangles. The height is 8 inches. Finally, we can calculate the surface area by multiplying the area of the base (9 square inches) by the height of the four congruent triangles (8 inches). This gives us a total surface area of 54 square inches.
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A) What percentage of the cars are black?
B) 7 out of 12 black cars are new,express this value as a percentage rounding to two
decimal places.
C) What fraction of the cars were red?
D) Express the number of red cars as a percentage rounding to two decimal places?
Step-by-step explanation:
The total number of cars=24
Number of black cars=12
Divide 12 by 24,multiplied by 100%
12÷24 ×100=50%
Therefore, 50% of the cars are black
I've been stuck on this for a bit, and I'm still figuring this out in the process. a little help?
Steps to solve:
4x + 1/3y^2 when x = 2 and y = 3
~Substitute
4(2) + 1/3(3)^2
~Simplify
8 + 1/3(9)
~Simplify
8 + 3
~Add
11
Best of Luck!
The local newspaper has letters to the editor from 60 people. If this number represents 5% of all of
the newspaper's readers, how many readers does the newspaper have?
The newspaper has
readers
Answer:
i believe the answer is 1200
Step-by-step explanation:
if you set up a proportion
60 over x equal to 5 over 100 and solve
you get the answer 1200.
X^2 - 36 = 0.
Factor using the difference squares. Then solve the equation using the Zero Product Peoperty. Write your answer in set notation.
Answer:
(x+6)(x−6)=0
x=-6 or x=6
Step-by-step explanation:
X^2 - 36 = 0
Solve by Square Root
add 36 both sides
x^2−36+36=0+36
x^2=36
square root
x=±√36
x=6 or x=−6
You can do that or for 2nd option
Solve by factoring
x^2-36=0
(x+6)(x−6)=0
Set factors equal to 0
x+6=0 or x−6=0
x=-6 or x=6
PLEASE NOTE: 36 is the square of 6
and
x2 is the square of x1
Write the negation of the following statement: ABC and DEC are
complementary angles.
A)OZABC and ZDEC are not complementary angles.
B)ZABC and ZDEC are supplementary angles.
C)The sum of ABC and ZDEC is 180 degrees.
D)The sum of ABC and ZDEC is 90 degrees.
You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.
Answer:
2/7
Step-by-step explanation:
______________ can hold multiple values within a single variable and is defined by having values between square brackets.
The term that completes the blank and fits the description is an array
How to complete the blank?From the question, we understand that:
The variable term holds multiple valuesIt uses square bracketsit is defined by a single variableThe term that fits the above highlights is array
Hence, the complete statement is:
array can hold multiple values within a single variable and is defined by having values between square brackets.
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16-2t=3/2t+9 solve for t
answer: t=2
steps:
16-2t = 3/2t+9
7 = 3/2t + 2t
2 is 4/2
7 = 3/2t + 4/2t
7 = 7/2t
7/2t = 7
(2/7)7/2t=7(2/7)
t=7(2/7)
t=2
(4 x 100,000) + (7 x 1,000) + (8 x 100) + (6 x 1) = 47,806
Answer:
It is 407,800
Step-by-step explanation:
Because The 4 x 100,000 = 400,000
how About lets But it in another way
100,000 + 100,000 + 100,000 + 100,000= 400,000
This also works with the other multiplication things you have there. So this Is how I got the answer.
solve for b
–1 + 2b − 9 = 10b − 10
Answer:
The answer is B= 0
I'm positive
The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating (a) with respect to x and (b) with respect to y. x^2 - e^y, ,1⩽x⩽e
To set up an integral for the area of the resulting surface when the given curve is rotated about the x-axis, we can use the disk or washer method. The disk or washer method allows us to calculate the volume of a 3-dimensional figure by integrating a 2-dimensional figure around a central axis.
For part (a), we integrate with respect to x from 1 to e:
A = ∫1e 2πx(x2 - ey) dx
For part (b), we integrate with respect to y from 0 to 2:
A = ∫02 2π(x2 - ey) dy
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someone please help me out with this
Answer: 10 3/4. OR 43/4
Step-by-step explanation:
we see that there are two lines, one with the total amount (at bottom), and one with two small parts of the line measurement included (top)
we can simply add the two small measurements together and then subtract the total measurement line (15/1/2) to the added amount.
3 1/2 = 3 2/4
(3 1/2 is simplified version, 1 times 2 is 2 and 2 times 2 is 4, so we get 2/4)
3 2/4+ 1 1/4 = 4 3/4
4 3/4 = 19/4
4 times the 4 (from 3/4) is 16, plus the 3 (from 3/4)
and
15 1/2 = 15 2/4 = 62/4
15 times 4 (from 2/4) is 60, plus the 2 (from 2/4)
Now we do 62/4 minus 19/4
DON’T minus the denominator 4!
(Basically is) 62-19=43
Answer: 43/4
you can also divide 43 by 4, to get 10 3/4
A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)= at² + bt + c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27m.
Answer:
a) a = -3, b = 18, c = 48; s(t) = -3t²+18t+48b) 48mc) 8secsStep-by-step explanation:
The question is incomplete. Here is the complete question.
'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'
Given the equation of the distance modelled as s(t)=at²+bt+c
If after 1 second the rock was 63 m, then 63 = a+b+c
If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c
Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c
i) Solving the 3 equations simultaneously to get a, b and c we have;
a+b+c = 63 ... 1
4a+2b+c = 72 ...2
49a+7b+c = 27 ...3
Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;
eqn 2- eqn1: 3a + b = 9...4
eqn 3- eqn 2: 45a + 5b = -45
eqn 3- eqn 2: 9a+b = -9 ... 5
solving 4 and 5 simultaneously
3a + b = 9 ...4
9a+b = -9 ... 5
Taking the difference of 4 and 5 we have
6a - -9-9
6a = -18
a = -3
substituting a = -3 into equation 4 to get b we have;
3(-3)+b = 9
-9 + b = 9
b = 9+9
b = 18
substituting a = -3 and b = 18 into equation 1 to get c we have;
-3+18+c = 63
15+c = 63
c = 48
a = -3, b= 18 and c = 48
The distance function will be s(t) = -3t²+18t+48
ii) If the height of the cliff is modelled by the equation s(t)=at²+bt+c
The height of the cliff is at when t = 0
s(0) = -3(0)²+18(0)+48
s(0) = 48m
The height of the cliff is 48m
iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;
s(t)=at²+bt+c
0 = -3t²+18t+48
3t²-18t-48 = 0
t² - 6t - 16 =0
t² - 8t+2t - 16 = 0
t(t-8)+2(t-8) = 0
(t+2)(t-8) = 0
t = -2 or 8
Taking the positive value of the time, t = 8secs
Time taken for the rock to reach sea level is 8secs
Solve the equation x - 20.7 = 9.5 for X
Show your work.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
x=30.2
Step-by-step explanation:
30.2-20.7=9.5 So therefore x=30.2
suppose that a brand of lightbulb lasts on average 2872 hours with a standard deviation of 108 hours. assume the life of the lightbulb is normally distributed. calculate the probability that a particular bulb will last from 2638 to 2949 hours?
The probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.
To solve this problem, you can use the normal distribution formula to calculate the probability that a lightbulb will last between 2638 and 2949 hours:
P(2638 < x < 2949) = P(z1 < (x - mean)/standard deviation < z2)
Where x is the number of hours that the lightbulb lasts, mean is the average number of hours that the lightbulb lasts (2872 hours in this case), and the standard deviation is the standard deviation of the number of hours that the lightbulb lasts (108 hours in this case), z1 is the standard normal deviate corresponding to the lower bound of the interval (2638 hours in this case), and z2 is the standard normal deviate corresponding to the upper bound of the interval (2949 hours in this case).
To calculate z1 and z2, you can use the following formulas:
z1 = (2638 - 2872)/108 = -1.22
z2 = (2949 - 2872)/108 = 0.85
To calculate the probability, you can use a normal distribution calculator or table to find the probability that a standard normal random variable is between -1.22 and 0.85.
Using a normal distribution calculator or table, you can find that the probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.
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Wendy walked 2 miles in 30 minutes. At this rate, how many miles could Wendy walk in 90 minutes?
This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $180,000.
Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.
This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.
The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.
It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.
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q+ 5/9= 5/6
What is Q?
I need Help!
Answer:
q=5/18 decimal form is 0.27
Step-by-step explanation:
7 x-3(4 x-8)<6 x+12-9 x
Answer:
x > 6
Step-by-step explanation:
1.) Distribute - 3 through the parenthesis
7x-3(4x-8)<6x+12-9x
7x-12x+24<6x+12-9x
2.) Then collect like terms
7x-12x+24<6x+12-9x
7x-12x+24<-3x+12
7x-12x+24<-3x+12
-5x+24<-3x+12
3.) Move the variable to the left and change the sign
-5x+24<-3x+12
-5x+3x+24<12
4.) Move the constant to the right and change it's sign
-5x+3x+24<12
-5x+3x<12-24
5.) Collect like terms
-5x+3x<12-24
-2x<12-24
6.) Calculate the difference
-2x<-12
7.) Divide both sides by -2 and flip the inequality sign
-2x<-12
x>6
 15 miles in 10 hours would be how many miles per hour?
Answer:
1.5 miles per hour
Step-by-step explanation:
Take the number of miles and divide by the number of hours
15 miles / 10 hours
1.5 miles per hour
Is this set of ordered pairs a function?
{(11,3), (6,5), (7, 1), (9,7), (8,3)}
Answer:
yes
Step-by-step explanation:
the x-axis are different
Answer:
yes
Step-by-step explanation:
this is a function because it is many-to-one
(11,3)
(8,3)
they both have the same output (y) but not the same input (x) it is a function.
if it has the same input (x) and different outputs (y) if is not a function then.