Answer:
9 is the answer.
Step-by-step explanation:
\(12(14/2)-3^3+15-9^2\)
=> 12(7) - 9 + 15 - 81
=> 84 - 9 + 15 - 81
=> 3 - 9 + 15
=> 3 + 6
=> 9
Hoped this helped.
Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1
Answer:
f(1) = 0
Step-by-step explanation:
If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0
Answer: x+1 plus the fator
Step-by-step explanation:
Regular= 16oz $3.36 Family Sized= 40 oz $7.60 what is the per ounce for both?
Answer:
Regular = $0.21 per ounce, Family = $0.19 per ounce
Step-by-step explanation:
Regular
16oz = $3.36
Divide by 16 on both sides
1oz = $0.21
Family
40oz = $7.20
divide by 40 both sides
1oz = $0.19
Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left
Find the missing term of the following arithmetic sequence
-45 ___ -12
-33
-19.5
-28.5
-21
Answer:
a₂ = - 28.5
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 45 and given a₃ = - 12 , then
a₁ + 2d = - 12 , that is
- 45 + 2d = - 12 ( add 45 to both sides )
2d = 33 ( divide both sides by 2 )
d = 16.5
Then
a₂ = a₁ + d = - 45 + 16.5 = - 28.5
Ross joined a 30 week weight loss challenge. he lost 10.4 pounds int eh first 4 weeks if he maintains this rate of weight loss how many pounds will eh lose at the end of the 30 week challenge
Answer: 78 pounds
Step-by-step explanation:
10.4/4 = 2.6
2.6 * 30 = 78
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
2ft 2ft crossbar
The length of crossbar that Sasha need to complete the kite is equal to √8 units.
How to determine the length of the crossbar?By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.
In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Substituting the given parameters into Pythagorean's theorem, we have the following;
c² = a² + b²
c² = 2² + 2²
c² = 4 + 4
c = √8 units.
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1) Model the problem with one (or more) equation(s) and solve it.: "A marathon runner ran the marathon course (42 Km) but did not win a medal. Analyzing the race with his trainer, they realized that if his average speed was higher by just 1km/h he would have finished 0.1 hour faster and receive the gold medal. What was the runner's average speed". (15 points) (Hint: Time is equal to length over average speed)
The runner's average speed was approximately 0.0024 km/h slower than the required speed to win the gold medal.
Let's denote the runner's average speed as v (in km/h). The time taken to complete the marathon can be calculated using the formula: time = distance / speed. In this case, the distance is 42 km, and the time taken is 0.1 hours less than the original time.
Using this information, we can set up the following equation:
42 / v = (42 / (v + 1)) - 0.1
To solve this equation, we can start by simplifying the right side:
42 / v = (42 - 0.1(v + 1)) / (v + 1)
Next, we can cross-multiply to eliminate the fractions:
42(v + 1) = 42 - 0.1(v + 1)
Expand the equation:
42v + 42 = 42 - 0.1v - 0.1
Combine like terms:
42v + 42 = 42 - 0.1v - 0.1
Combine like terms again:
42v + 42 = 42 - 0.1v - 0.1
Now, let's isolate the variable v by moving all the v terms to one side:
42v + 0.1v = 42 - 42 - 0.1
Simplify the equation:
42.1v = -0.1
Divide both sides by 42.1:
v = -0.1 / 42.1
v ≈ -0.0024
Since average speed cannot be negative, we disregard the negative solution.
Therefore, the runner's average speed was approximately 0.0024 km/h slower than the required speed to win the gold medal.
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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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ill give brainlyst to the first person to help me:)
Please help Solve for x.
here
\( {x}^{2} = {4}^{2} + {3}^{2} \\ {x }^{2} = 16 + 9 \\ {x}^{2} = 25 \\ \sqrt{ {x}^{2} } = \sqrt{ {5 \\}^{2} } \\ x = 5\)
The box plot displays the number of flowers planted in a town last summer.
A box plot uses a number line from 3 to 31 with tick marks every one-half unit. The box extends from 10 to 18 on the number line. A line in the box is at 12. The lines outside the box end at 4 and 30. The graph is titled Flowers Planted In Town, and the line is labeled Number of Flowers.
Which of the following is the best measure of center for the data shown, and what is that value?
The median is the best measure of center and equals 12.
The median is the best measure of center and equals 14.
The mean is the best measure of center and equals 12.
The mean is the best measure of center and equals 14.
According to the information presented on the box plot:
The median is the best measure of center and equals 12.How to get the medianThe box plot illustrates a rectangular shape extending from the numerical values of 10 to 18 on a number line, where an inner line rests at the numerical value of 12 within the confines of the rectangle.
The median functions as the numeric value that effectively splits data in half, equally distributing percentages of 50% below and above it while defining its centrality.
In this case, the statement "A line in the box is at 12" defines the median.
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just tell me when i’m high I’m kinda slow lol
What’s the volume? Any help pls?
Answer:
128 cu and can I have brainliest.
Step-by-step explanation:
V = L*W*H
V = 8*4*4
V=128 cu
A local bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20.a.What percentage of its customers has daily balances of more than $275?b.What percentage of its customers has daily balances of less than $243?c.What percentage of its customers' balances is between $241 and $301.60?
a. Z-score formula
\(z=\frac{x-\mu}{\sigma}\)where,
• x: observed value
,• μ: mean
,• σ: standard deviation
Substituting with x = $275, μ = $280, and σ = $20, we get:
\(\begin{gathered} z=\frac{275-280}{20} \\ z=-0.25 \end{gathered}\)In terms of the z-score, we need to find
\(P(z\ge-0.25)=1-P(z\le-0.25)\)From the table:
\(P(z\le-0.25)=0.4013\)Then, the percentage of customers that has daily balances of more than $275 is:
\(\begin{gathered} P(z\ge-0.25)=1-0.4013 \\ P(z\ge-0.25)\approx0.6=60\% \end{gathered}\)b. Substituting with x = $243, μ = $280, and σ = $20 into the z-score formula, we get:
\(\begin{gathered} z=\frac{243-280}{20} \\ z=-1.85 \end{gathered}\)In terms of the z-score, we need to find:
\(P(z\le-1.85)\)From the table, the percentage of customers that has daily balances of less than $243 is:
\(P(z\le-1.85)=0.0322=3.22\%\)c. Substituting with x₁ = $241 and x₂ = $301.60, μ = $280, and σ = $20 into the z-score formula, we get:
\(\begin{gathered} z_1=\frac{241-280}{20}=-1.95 \\ z_2=\frac{301.60-280}{20}=1.08 \end{gathered}\)In terms of the z-score, we need to find:
\(\begin{gathered} P(-1.95\le z\le1.08)=P(-1.95\le z\le0)+P(0\le z\le1.08) \\ P(-1.95\le z\le1.08)=0.5-P(z\le-1.95)+P(0\le z\le1.08) \end{gathered}\)From the first table:
\(P(z\le-1.95)=0.0256\)From the second table:
\(P(0\le z\le1.08)=0.3529\)Therefore, the percentage of its customers' balances between $241 and $301.60 is:
\(\begin{gathered} P(-1.95\le z\le1.08)=0.5-0.0256+0.3529 \\ P(-1.95\le z\le1.08)=0.8273=82.73\% \end{gathered}\)
NEED HELP, DUE SOON! Find the area of the composite figure below and then chose the correct answer.
Answer:
A) 288.62
Step-by-step explanation:
10.4×15.3= 159.12
10.4²+15.3²= X²
342.25= X²
18.5= X
7×18.5= 129.5
129.5+159.12= 288.62
true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.
Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
1) A player succeeds at an action if a 9 or 10 is rolled. Assuming a fair d10, what is the probability of success? Type as: ## 2) What is the probability that the player fails? Type as:
1) The probability of success is 0.2 or 20%.
2) The probability of failure is 0.8 or 80%.
1) The probability of success is the probability of rolling a 9 or a 10, which are two of the ten possible outcomes of rolling a fair d10. Therefore, the probability of success is:
P(success) = P(rolling a 9) + P(rolling a 10) = 1/10 + 1/10 = 2/10 = 1/5 = 0.2 or 20%
2) The probability of failure is the complement of the probability of success. That is, it is the probability of rolling any outcome that is not a 9 or 10. Since there are eight such outcomes (1, 2, 3, 4, 5, 6, 7, 8), the probability of failure is:
P(failure) = 1 - P(success) = 1 - 0.2 = 0.8 or 80%
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8 + 7m + 5 = 27
show your work
Answer:
m=2 :)
Step-by-step explanation:
8+7m+5=27
13+7m=27
27-13=14
7m=14
m=2
M=2
\(8 + 7m + 5 = 27\)
\(8 + 7m= 27 - 5\)
\(8 + 7m = 22 \)
\(7m = 22 - 8\)
\(7m = 14\)
\(14 \div 7m \\ = 2\)
use the range rule of thumb to approximate the standard deviation. 2, 6, 15, 9, 11, 22, 1, 4, 8, 19
By using the range rule of thumb, the approximate standard deviation of the given set of values is 5.25.
The given set of values is:
2, 6, 15, 9, 11, 22, 1, 4, 8, 19
We are asked to use the range rule of thumb to approximate the standard deviation.
The range rule of thumb is a formula used to approximate the standard deviation of a data set.
According to this rule, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
The formula for range rule of thumb is given as:
\(Range = 4×standard deviation\)
Using this formula, we can find the approximate standard deviation of the given set of values.
Step-by-step solution:
Range = maximum value - minimum value
Range = 22 - 1 = 21
Using the range rule of thumb formula,
\(4 × standard deviation = range4 × standard deviation = 214 × standard deviation = 21/standard deviation = 21/4standard deviation = 5.25\)
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Parallelograms lifts are used to elevate large vehicle for maintenance. Two consecutive angles
of a parallelogram have measures 3(2 + 10)
° and 4( + 10)
°
, respectively. Find the measures
of the angles.
A. 96° and 84° B. 98° and 82° C. 100° and 80° D. 105° and 75
The fourth angle is also x degrees, or approximately 40.57 degrees. The closest answer choice to these measures is C. 100° and 80°.
To solve this problem, we need to remember that opposite angles in a parallelogram are congruent. Let's call the measure of the third angle x. Then, the fourth angle is also x degrees.
Using the given information, we can set up an equation:
3(2+10) + x + 4(x+10) = 360
Simplifying and solving for x, we get:
36 + 3x + 40 + 4x = 360
7x = 284
x ≈ 40.57
Therefore, the measures of the angles are:
3(2+10) = 36 degrees
4(x+10) = 163.43 degrees
x = 40.57 degrees
And the fourth angle is also x degrees, or approximately 40.57 degrees.
The closest answer choice to these measures is C. 100° and 80°.
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what's the coefficient in the equation m-22
Answer:
that does not make sense ?????????????????????????????????????????
information yes no the maximum difference between group 1 and group 2 that is likely if there is no true difference between the two groups the variances of group 1 and group 2 the sizes of group 1 and group 2 the difference between the means of group 1 and group 2
The maximum difference between Group 1 and Group 2, in the absence of a true difference, depends on the variances, sizes, and mean difference between the groups. Larger variances and sample sizes increase the potential difference, while smaller variances and sample sizes decrease it. A larger mean difference between the groups will result in a larger maximum difference.
The maximum difference between Group 1 and Group 2 that can occur when there is no true difference between the two groups is influenced by several factors. Firstly, the variances of Group 1 and Group 2 play a crucial role.
If the variances are large, it indicates a greater spread of data within each group, which can result in larger differences between individual data points. On the other hand, if the variances are small, the data points tend to be closer together, resulting in smaller differences between them.
Secondly, the sizes of Group 1 and Group 2 also impact the maximum difference between the two groups. When the sample sizes are small, there is a higher chance of observing larger differences by chance alone. Conversely, larger sample sizes tend to provide more reliable estimates and reduce the likelihood of large differences occurring by random variation.
Finally, the difference between the means of Group 1 and Group 2 affects the maximum difference between the groups. A larger difference between the means of the groups will naturally result in a larger maximum difference between individual data points.
In conclusion, the maximum difference between Group 1 and Group 2 that is likely to occur in the absence of a true difference between the groups depends on the variances, sizes, and the difference between their means. By considering these factors, researchers can better understand the expected range of differences that may arise due to random variation and make informed interpretations of their data.
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PLEASE HELP ILL MARK BRAINEST!! THANK YOU!
The length of the hypotenuse is 30 units.
The missing length is m = 5.
7.
As per the shown figure, we have
Perpendicular = 15√3
Angle = 60°
We have to determine the length of the hypotenuse.
Using the sine ratio, we can write:
sinθ = Perpendicular / Hypotenuse
Substitute the values in the above formula:
sin60° = 15√3 / Hypotenuse
Hypotenuse = 15√3 / sin60°
Hypotenuse = 15√3 /√3/2
Hypotenuse = 30 units
8.
Using the sine ratio, we can write:
sinθ = P / H
Substitute the values in the above formula:
sin45° = m / 5√2
1/√2 = m / 5√2
m = 5√2/√2
m = 5
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Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
if p > 5 is prime and p is divided by 10, show that the remainder is 1, 3, 7, or 9
If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9
The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.
However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).
Therefore, p must end in 5. This means that p can be written in the form:
p = 10n + 5
where n is some integer. Now, let's consider what happens when we divide p by 10:
p/10 = (10n + 5)/10 = n + 0.5
Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.
To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).
Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.
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what is the slope of the line of best-fit in the scatterplot below?on a graph, a trend line goes through points (3, 12) and (6, 19).
The slope of the line of best fit in the scatterplot below can be determined using the formula for the slope of a line:
Slope = (y2-y1)/(x2-x1)
In this case, x1 = 3, y1 = 12, x2 = 6, y2 = 19. So, the slope of the line of best fit is (19 - 12) / (6 - 3), which equals 7/3 or 2.33.
The line of best fit is the line that best represents the data on a scatterplot. It is the line that is closest to all the data points in the graph. The slope of the line of best fit helps to indicate whether the data points are moving in a positive or negative direction. If the slope is positive, the data points are increasing, and if the slope is negative, the data points are decreasing.
A positive slope, like the one in this example, means that as x increases, y also increases. This means that in this case, as the x-values (3 and 6) increase, the y-values (12 and 19) also increase.
The slope of the line of best fit can also be used to make predictions about values of y, given values of x. For example, if x = 8, then y = 26, because the slope of the line of best fit is 2.33, and 8*2.33 = 19.8, which is approximately equal to 26.
Overall, the slope of the line of best fit on this scatterplot is 2.33, which is a positive number. This indicates that as the x-values increase, the y-values also increase, and it can also be used to make predictions about y-values, given x-values.
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Seven years ago, Richard was 2/5 his father's age. Richard's father is now 47 years old. How old is Richard now?
Answer:
23
Step-by-step explanation:
seven years ago his father is 40yrs old and Richard is 16 so add seven for his present age it will be 23
Answer:
18-19
Step-by-step explanation:
Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!
242‾√ in; 288 in2
482‾√ in; 288 in2
242‾√ in; 144 in2
482‾√ in; 144 in2
Answer:
Perimeter: \(48\sqrt{2} \: \mathrm{inches}\)
Area: \(288\mathrm \: \mathrm{square \: inches}\)
Step-by-step explanation:
If the diagonal of the square is 24 inches, the side length of the square is \(12\sqrt{2}\) inches (\(2x^2=24^2\)). The perimeter of this square is then \(4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}\) and the area \((12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}\).
The area of the square is 288 in.² and the perimeter is 48√2 in.
Given to us,
Diagonal of the square = 24 in.
We know that for a square,
\(\bold{(Diagonal)^2 = 2\times (side)^2}\)
substituting the values,
\({(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}\)
Also, the area of a square is given by (side)², and, perimeter by (4 x side).
\(\bold{Area = (12\sqrt2)^2 = 288 in.^2}\)
\(\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}\)
Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.
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which angles form a linear pair giving brainliest and points
Angles 6 and 8 are adjacent, they are Linear pair οf angles.
What is Linear pair?Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.
Angles 1 and 4 are not adjacent, they are vertically opposite.
Angles 5 and 8 are not adjacent, they are vertically opposite.
Angles 6 and 8 are adjacent, they are Linear pair οf angles
Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.
Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles
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Compare your average K, at room temperature to the K, you measured at ele- vated temperature. If there is a difference, do you think it is significant, and if so, in which direction has the reaction shifted at the higher temperature?
The difference between the K values at room temperature and elevated temperature is significant, with the K increasing at higher temperatures. This indicates that the reaction has shifted to the right at higher temperatures, making it more likely to occur due to increased kinetic energy.
At room temperature, the average K for a reaction is around 10-25. At elevated temperatures, the average K may be higher or lower depending on the reaction. For example, if the reaction is endothermic, the K will decrease at elevated temperatures, while if the reaction is exothermic, the K will increase at elevated temperatures.Using the K value for a reaction at room temperature and the K value for the same reaction at elevated temperature, we can calculate the difference. For example, let's say the K at room temperature is 10, and the K at elevated temperature is 30. The difference between the two values is 20 (30-10). This difference is significant because it is greater than 10, the average value for K at room temperature.This difference of 20 indicates that the reaction has shifted to the right at higher temperatures. This means that the reaction is more likely to occur at higher temperatures as the K has increased. This is due to the increased kinetic energy of the molecules at higher temperatures, which allows them to react more efficiently.
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