3From the list, which terms are like 5x?5x², 4x, 3,-8x, -5x, 9x², 5a. -5xb. 5x², 5c.d.4x, -8x, -5x5x², -5x, -5x²
Answers
Given: The monomials
Related Questions
how many calories will tai burn in 1 minute while biking? Enter the answer in the box
Answers
Answer:
10 calories per minute
Step-by-step explanation:
We do not have much information to go on such as the speed that Tai is biking or his/her weight. Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results. Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute. Therefore we can assume that Tai is burning roughly 10 calories per minute. This rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.
10. im adding this last part because it needs 20 letters k bye
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
the nth partial sum is given by
Answers
If nth partial sum of series S is given by Sₙ = n+1/n²+1, the value of S is equal to 0.7834.
To find the sum S of the series, we need to take the limit of the nth partial sum as n approaches infinity. This is because the series contains an infinite number of terms, and the sum is the value that the series approaches as we add more and more terms.
We can write the formula for the nth partial sum as:
Sₙ = 1/2 + 2/5 + 3/10 + ... + n/(n²+1)
To find the sum S, we take the limit of Sₙ as n approaches infinity:
S = \(\lim_{n \to \infty}\) Sₙ
We can use the formula for the nth partial sum to simplify Sₙ:
Sₙ = 1/2 + 2/5 + 3/10 + ... + n/(n²+1)
= [1/(1²+1)] + [1/(2²+1)] + [1/(3²+1)] + ... + [1/(n²+1)]
= Σ[1/(k²+1)], k=1 to n
Using calculus or other advanced techniques, we can find that the limit of Σ[1/(k²+1)] as n approaches infinity is approximately 0.7834. Therefore, the sum of the series S is approximately:
S ≈ 0.7834
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Manish writes the functions g(x)= 3 sqrt -x - 72 and h(x) = -(x + 72)^3
Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?
Answers
Answer:
\(\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3\)
Step-by-step explanation:
Given
\(g(x) = 3\sqrt x - 72\)
\(h(x) = -(x +72)^3\)
Required
Show that they are inverse functions
For g(x) and h(x) to be inverse, then:
\(g(h(x)) = h(g(x))\)
We have:
\(g(x) = 3\sqrt x - 72\)
Replace x with h(x)
\(g(h(x)) = 3\sqrt{h(x)} - 72\)
Substitute value for h(x)
\(g(h(x)) = 3\sqrt{-(x +72)^3} - 72\)
Similarly;
\(h(x) = -(x +72)^3\)
Replace x with g(x)
\(h(g(x)) = -(g(x) +72)^3\)
Substitute value for g(x)
\(h(g(x)) = -(3\sqrt x - 72 +72)^3\)
Recall that:
\(g(h(x)) = h(g(x))\)
So:
\(\sqrt{-(x +72)^3} - 72 = -(3\sqrt x - 72 +72)^3\)
Its c
explanation:
on edge
The box plots shows the length of the songs on 2 diggital music players in minutes which statement best supported by the information in the box plots
Answers
Answer:
You have to go on a cite called Math and Way buth without the and and no space between math and way
Step-by-step explanation:
Answer:
The interquartile range of the data for Music Player X is equal to the interquartile range of the data for Music Player Y.
Step-by-step explanation:
A florist wants to determine if a new additive would help extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations and randomly assigns 10 to the new additive and 10 to the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The difference in proportions (new – original) for the carnations that still looked healthy after three weeks was 0.4. Assuming there is no difference in the additives, 200 simulated differences in sample proportions are displayed in the dotplot.
Using this dotplot and the difference in proportions from the samples, is there convincing evidence that the new additive was more effective?
A. Yes, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
B. Yes, because a difference in proportions of 0.4 or less occurred 193 out of 200 times, meaning the difference is statistically significant and the new additive is more effective.
C. No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
D. No, because a difference in proportions of 0.4 or less occurred 193 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
Answers
C. No, because a difference in proportions of 0.4 or more occurred 7 out of 200 times, meaning the difference is not statistically significant and the new additive is not more effective.
====================================================
Explanation:
If the new additive was more effective than the old one, then the difference in proportions (new - old) should be fairly large.
Count the dots over the x axis labels of "0.4" through "0.6"
5 dots over "0.4"1 dot over "0.5"1 dot over "0.6"That makes 5+1+1 = 7 dots total.
There are 7 instances where the difference of proportions is 0.4 or larger.
This is out of 200 observations, so 7/200 = 0.035 = 3.5% of the differences have 0.4 or larger.
This is not very significant. The general rule of thumb is to use 5% as the threshold. Some stats textbooks will use 10%. Other times your teacher will specify the significance level. The Greek letter alpha is often used.
Because 3.5% < 5%, we consider the new additive to not be that effective compared to the original additive.
Alex is working hard to prepare for a
marathon. On Tuesday, he ran 7 miles
before lunch and 5 miles after lunch.
What is the total number of miles Alex
ran on Tuesday?
Answers
Answer:
12 miles
Step-by-step explanation:
Add the miles before and after lunch
7 + 5 = 12 miles
Johanna rode her bike 7 miles to a lake . She rode 3/4 of distance to the lake before lunch. How many miles did johanna ride before lunch?
Answers
Answer:
5.25 miles
Step-by-step explanation:
Total distance = 7 miles
Distance she rode before lunch = 3/4 of the total distance
=> 3/4 of 7
=> 21/4
=> 5.25 miles
So, she drove 5.25 miles before lunch.
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613
Answers
The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.
What is an addition operation?An addition operation involves two addends added together to result in a number called the sum.
The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.
Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.
1204.2 + 4.72613
= 1208.92613
= 1208.93
Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.
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Find the standard form of the parabola
with vertex: (- 2,5) and directrix: x = 3.
Answers
Check the picture below, so the parabola looks more or less like so, the "p" distance is negative, because the horizontal parabola is opening to the left-hand-side, so
\(\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=-2\\ k=5\\ p=-5 \end{cases}\implies 4(-5)( ~~ x-(-2) ~~ )=(y-5)^2 \implies -20(x+2)=(y-5)^2 \\\\\\ x+2=-\cfrac{1}{20}(y-5)^2\implies {\Large \begin{array}{llll} x=-\cfrac{1}{20}(y-5)^2-2 \end{array}}\)
How can budgeting improve someone’s life?
Answers
Step-by-step explanation:
it can improve ones life my making not spending a lot of money
Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
Answers
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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Plz help I need help
Answers
Answer:
The ratios are proportional ratios
Answer:
Step-by-step explanation:
The ratios are proportional
\(\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}\)
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
Answers
The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.
How to calculate the value?Length of the small plant = 2 1/2 = 5/2 inches
Rate of growth = 3/4 inches
Increase in length in 3 weeks will be:
= 3 × 3/4 = 4
Total length = 5/2 + 9/4
= 19/4 inches.
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write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
Answers
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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How many minutes are there in 4 years? (1 year = 52 weeks)
Answers
using the conversion factor,
\(\begin{gathered} 1\text{ }year\Rightarrow52\text{ }weeks \\ 1\text{ }week\Rightarrow7\text{ }days \\ 1\text{ }day\Rightarrow24\text{ }hours \\ 1\text{ }hour\Rightarrow60\text{ }minutes \end{gathered}\)then, we multiply them together,
\(4\text{ }years\times\frac{52\text{ }weeks}{1\text{ }year}\times\frac{7\text{ }days}{1\text{ }week}\times\frac{24\text{ }hours}{1\text{ }day}\times\frac{60\text{ }minutes}{1\text{ }hour}=2,096,640\text{ }minutes\) Select all of the statements that are true for the given parabola. A. The minimum is (-1, 6)
B. The line of symmetry is x = -1
C. The x-intercepts are (0, 1) and (0, -3)
D. The maximum is (-1, 6)
Answers
Answer:
b AND d
Step-by-step explanation:
trust me ON this one
Answer:
B and D is correct
Step-by-step explanation:
find the derivative of the function y= x^20
Answers
Answer:
Step-by-step explanation:
\(\frac{dy}{dx} =20x^{19}\)
what is 2x³/x+5 divided by x-5/3x-1
Answers
\(\cfrac{2x^3}{x+5}\div \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}\)
a norman window consists of a rectangle surmounted by a semicircle. if the perimeter of a norman window is to be 32 feet, determine what should be the radius of the semicircle and the height of the rectangle such that the window will admit the most light.?4.49 ft.
Answers
Therefore, the height of the rectangle and the radius of the semicircle should be 8 feet each in order for the Norman window to admit the most light.
What is the perimeter of a semi circle?The distance along the line defining a half circle's boundary is known as the semi circle's perimeter. It is made up of the diameter of the semi circle, which is a straight line that passes through the center of the circle, and the semi circle's curving arc. For example, he radius of the semicircle and the height of the rectangle such that the window will admit the most light. A semi circle's diameter must be determined before calculating the circumference. This may be accomplished by determining the radius of the semicircle, which is the separation between any two points on the circle and the circle's center. Simply said, the diameter is twice the radius.
How to solve?
If the perimeter of the Norman window is 32 feet, then each side of the rectangle must be 8 feet long. ( using 2(l+b))
The radius of the semicircle must also be 8 feet, as the perimeter of a semicircle is equal to 2 * pi * radius.
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A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answers
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
\(H_0: p = 0.87\)
At the alternative hypothesis, it is tested if it has decreased, that is:
\(H_1: p < 0.87\)
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
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Answers
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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light travels at the speed of 1.17 × 10⁷ miles per minute. Plutos average distance from the sun is 3,670,000,000 miles. On average, how long does it take sunlight to reach pluto? write your answer in scientific notation
Answers
Answer:
It will take 5 hours 8 minute.
Step-by-step explanation:
Speed of light is 1.17x107 miles/min
creating a diagram so far this session a team has won 51 out of 68 games identify the value of a b c and d that complete the bar diagram for the situation
Answers
Answer:
a = 25
b = 100
c = 17
d = 68
Step-by-step explanation:
help pleaseeeeeeeeeeeeee
Answers
Answer:
a
Step-by-step explanation:
!!!Need an answer ASAP!!! A right triangle has a hypotenuse of 16 and a leg of 9. find the length of the other leg.
Answers
Answer:1
Step-by-step explanation:√16 - √9=x
4-3=1
√1=1
Two-fifths of the stage crew are girls. if there are 30 members of the stage crew, how many are girls?
Answers
Answer:
12 girls
Step-by-step explanation:
30*(2/5)=12
66,66,70,88.........?,236
Answers
Answer:
I am so confused I don't know how to answer this.
Mike bought 3 iPad minis and one car charger. Altogether he spent $1020.95. The charger cost $24.59. How much did each iPad mini cost?
Answers
Answer:
332.12
Step-by-step explanation:(1020.95-24.95)/3
for each time below, rename one hour to 60 minutes. Add those 60 minutes to the existing minutes?
2) 11:30
3) 2:45
4) 6:40
5) 2:05
6) 7:25
7) 10:20
8) 1:30
9) 12:15
10) 5:50
11) 3:35
12) 9:55
Answers
2) 11:90
3) 3:05
4) 7:00
5) 2:65
6) 7:85
7) 10:80
8) 1:90
9) 12:75
10) 6:10
11) 3:95
12) 10:15
RENAMED (actual times)
2) 12:30
3) 3:45
4) 7:40
5) 3:05
6) 8:25
7) 11:20
8) 2:30
9) 1:15
10) 6:50
11) 4:35
12) 10:55