Answer:
53 cm
Step-by-step explanation:
the distance from opposite corners of the rectangle, divide the rectangle into 2 congruent right triangles with legs 45 and 28 and the diagonal (d) , the hypotenuse.
using Pythagoras' identity in one of the right triangles , then
d² = 45² + 28² = 2025 + 784 = 2809 ( take square root of both sides )
d = \(\sqrt{2809}\) = 53
the distance from corner to corner is 53 cm
Answer:
53
Step-by-step explanation:
u see this is how Pythagorean theorem works a^2 + b^2 = c^2 so yep thats how i got 53 i hope this helps please give brainliest have a good morning/afternoon/night have a great day!!! :D. THANK YOU FOR BRAINLIEST!!!!
a cook wants to know what happens to bacon when it is fried in a frying pan versus microwaving it. specifically, the cook wonders if the bacon ends up moister and more flavorful when fried or when microwaved. what are the dependent variables
The dependent variables in the following scenario are whether the bacon becomes moister and more flavorful and the independent variable is the cooking method.
In statistics, a dependent variable is one whose value is determined by another set of variables called independent variables. To put it simply, the dependent variable is the thing that is being tested or calculated. The dependent variable is sometimes known as the "outcome variable." In the given scenario, the chef was curious as to whether or not frying or microwaving the bacon would produce a moister and more flavorful final product. The bacon is the result of the experiment, hence it is a dependent variable.
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The sum of the interior angles S of a polygon with n sides is given by the formula S = 180(n-2).
a) (3 pts) Find the sum of the interior angles of a pentagon (5-sided polygon).
b) (3 pts) Set up an equation for x and solve it.
158
112
100
Answer:
,
Step-by-step explanation:
a matrix consisting entirely of zeros is called a
A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.
It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.
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Tiffany has a temp job at an office where she is helping them stuff envelopes for a big mailing. She doesn’t know how many envelopes they had already stuffed when she started helping them, but 20 minutes after she arrived they had stuffed a total of 400 envelopes, and 40 minutes after she arrived they had stuffed a total of 650 envelopes. At what rate, in envelopes per minute, have they been stuffing envelopes since Tiffany arrived?
The rate of change is 12.5 envelopes per minute.
We are given that;
Time= 20minutes
Number of envelopes=400
Now,
To find the rate of change, we need to use the formula: (y2 - y1) / (x2 - x1) 1 where x and y are the variables representing time and envelopes respectively. We can use the given information to plug in the values for x1, x2, y1 and y2.
x1 = 20 minutes y1 = 400 envelopes x2 = 40 minutes y2 = 650 envelopes
Rate of change = (y2 - y1) / (x2 - x1) Rate of change = (650 - 400) / (40 - 20) Rate of change = 250 / 20 Rate of change = 12.5
Therefore, by the rate of change answer will be 12.5 envelopes per minute.
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The diameter of a circular cookie cake is 16 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.
100.48 square inches
200.96 square inches
401.92 square inches
803.84 square inches
The circular cookie cake have an area of 200.96 in², and thus 100.48 square inches will make up its half.
What is area of a circleThe area of a circle is π multiplied by the square of the radius. The area of a circle when the radius 'r' is given is πr².
Area of circle = πr²
π = 3.14
radius = 2 m {half the diameter}
Area of the circular cookie = 3.14 × 8 in × 8 in
Area of the circular cookie = 200.96 in²
square inches to make up half the cookie = 200.96 in²/2
square inches to make up half the cookie = 100.48 in²
Therefore, the circular cookie cake have an area of 200.96 in², and thus 100.48 square inches will make up its half.
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-12x^2-5x-8x^2+3+15x
I think it is
Answer:
42+10+3
Step-by-step explanation:
2
4÷1.84=
what is the answer to this and explain how u got ur answer btw this is easy division but my brain cells just hate math so yeah- (btw this is in decimal form)
4÷1.84 means 4 over 1.84 (4/1.84) = 2.17
if u calculate 1.84 ÷ 4 (using calculator) the ans will be different bcauz it means 1.84 over 4 (1.84/4)
3.1 Area under the curve, Part II: Z~N(μ = 0,σ = 1). (round answers to 3 decimal places)
a) Find x so that P(Z ≤ x) = 68%
b) Find the data value x at the 47th percentile
c) Find the data value x at the 50th percentile
Please give answers for all three questions. Thank you!
Answer:
a.) 0.468
b.) -0.075
c.) 0
Step-by-step explanation:
Given the distribution :
Z~N(μ = 0,σ = 1)
Distribution = normal
Mean (μ) = 0
Standard deviation (σ) = 1
a) Find x so that P(Z ≤ x) = 68%
Using the z probability calculator : Zscore corresponding to 68% = 0.68 = 0.468
Usingbthe relation :
Zscore = (x - m) / σ
0.468 = (x - 0) / 1
0.468 = x - 0
x = 0.468
b) Find the data value x at the 47th percentile
47th percentile = Zscore of - 0.075
Zscore = (x - m) / σ
-0.075 = (x - 0) / 1
-0.075 = x - 0
x = -0.075
c) Find the data value x at the 50th percentile
50th percentile = Zscore of 0.0
Zscore = (x - m) / σ
0.0 = (x - 0) / 1
0.0 = x - 0
x = 0
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
\(V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3\)
Help me please and thank you! Question is below!
Answer:
4² + b² = 8² or 8² = b² + 4² if following hypotenuse, unknown, and known leg
Step-by-step explanation:
Created by using a² + b² = c²
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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Hannah bought one pound of strawberries for $5.60. What is the price, in dollars per ounce of strawberries?
Answer:
0.35
Step-by-step explanation:
we know that,
1 pound= 16 ounce
so,16 ounce strawberries cost's=5.60$
∴1 ounce strawberry cost's=5.60/16$
=0.35$
Solve the system of equations by graphing. y = −5x y = x − 6 Part A Select the correct graph. A. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at zero and the increasing line has Y intercept at negative 6. The lines intersect at the point, 1, negative 5. B. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at zero and the increasing line has Y intercept at 6. The lines intersect at the point, negative 1, 5. C. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at negative 6 and the increasing line has Y intercept at 0. The lines intersect at the point, negative 1, negative 1. D. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at 6 and the increasing line has Y intercept at 0. The lines intersect at the point, 1, 1. Part B Write the solution. 35 points!!!!
(B) On a coordinate plane, two lines are graphed. The growing line's Y intercept is - 6, whereas the decreasing line's Y intercept is zero. the place where the lines converge ( 1, - 5).
Consider the system of equations,
y = - 5x and y = x - 6
To graph the equation y = - 5x we need to determine the points on the line.
When x = 0,
y = 0
When x = 1,
y = - 5
When x = 2.
y = - 5(2) = - 10
When x = - 1,
y = - 5( - 1 ) = 5
When x = - 2,
y = - 5 ( - 2 ) = 10
So, the point on the graph y = - 5x are ( 0, 0 ), ( 1, - 5 ), ( 2, - 10), ( - 1, 5 ), and ( - 2, 10 ).
Consider the equation,
y = x - 6
When x = 0,
y = - 6
When x = 1,
y = 1 - 6 = - 5
When x = 2,
y = 2 - 6 = - 4
When x = - 1,
y = - 1 - 6 = - 7
When x = - 2,
y = - 2 - 6 = - 8
So, the points are ( 0, - 6 ), ( 1, - 5 ), ( 2, - 4 ), ( - 1, - 7), and ( - 2, - 8).
So, the two lines intersect each other at ( 1, - 5 ).
The increasing line's y-intercept is at - 6 and the decreasing line's y-intercept is at 0.
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Kid Know what to put here
Answer:
ok i dont knkw what is that lol
when filling a cylinder by weight, the scale set point should equal the
When filling a cylinder by weight, the scale set point should equal the desired weight of the contents.
Filling a cylinder by weight is a common practice in industries such as chemical and gas manufacturing. This method ensures accurate measurements and prevents overfilling or underfilling the cylinder. To fill a cylinder by weight, the empty cylinder is placed on a scale and tared to zero. The desired weight of the contents is then entered as the scale set point. The contents are added to the cylinder until the scale displays the set weight, at which point the filling process is complete. By setting the scale point to the desired weight, the operator can ensure that the cylinder is filled accurately and according to the specified requirements.
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A club has 200 members, 45 of whom are lawyers, 38 of the memebres are liars, while 132 are neither lawyers nor liars. What is the probability that if a random person is randomly chosen from the group of lawyers, the person will be a liar?
The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.
As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.
As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):
38 ÷ 45 ≈ 0.8444444444444444
Rounded to two decimal places, this would be approximately 0.84.
As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:
0.8444444444444444 * 100 ≈ 84.44%
Rounded to two decimal places, this would also be approximately 84.44%.
So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.
This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.
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Find (from (3)
f(x) = x^2 - x
Answer:
I think the answer is 6.......
Find the percent change. Round to the nearest tenth of a percent when necessary.
From 33 to 34.
Answer:
3.03%
Step-by-step explanation:
Given the following question:
\(\frac{34-33}{33} \times100=34-33=1\div33=0.0303030303\times100=3.0303030303\)
\(3.0303030303\)
\(0<5\)
\(3.03\)
33 to 34 is a "3.03 percent increase."
Hope this helps.
Find the equation of a line perpendicular to y=3x+3 that passes through the point (3,2)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}\)
so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)
\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}\)
Which TWO statements represent the relationship between y = 5x and y = log5 x The are the exponential and logarithmic form of the same equation They are symmetrix over the line y=0 They are symmetric over the line y=x They are inverses of one another
The TWO statements that represent the relationship between y = 5x and y = log5 x are:
1. They are the exponential and logarithmic form of the same equation.
2. They are inverses of one another.
The two equations are related because they represent the same relationship between x and y, but in different forms. The first equation is an exponential equation, where y is a power of 5 raised to the x power. The second equation is a logarithmic equation, where y is the exponent to which 5 must be raised to get x.
Because the two equations represent the same relationship, they are inverses of one another. If we take the logarithm of both sides of the exponential equation, we get the logarithmic equation. If we raise 5 to both sides of the logarithmic equation, we get the exponential equation. Therefore, the two equations are inverses of one another.
Greg rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 71 cents for each mile driven. Greg had to pay $144.53
when he returned the truck. For how many miles did he drive the truck?
what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
\(x - 2 = 4 * (y - 2)\)
Eight years ago:
\(x - 8 = 10 * (y - 8)\)
Simplify both expressions
\(x - 2 = 4 * (y - 2)\)
\(x - 2 = 4y - 8\)
Add 2 to both sides
\(x - 2 +2= 4y - 8 + 2\)
\(x = 4y - 6\)
Substitute 4y - 6 in the second equation
\(x - 8 = 10 * (y - 8)\)
\(4y - 6 - 8 = 10 * (y - 8)\)
\(4y - 14 = 10y - 80\)
Collect Like Terms
\(4y - 10y = 14 - 80\)
\(-6y = -66\)
Divide through by -6
\(y = 11\)
Substitute 11 for y in \(x = 4y - 6\)
\(x = 4 * 11 - 6\)
\(x = 44 - 6\)
\(x = 38\)
Which of these is a formula that can be used to determine the nth term of the arithmetic sequence 15, 27 39 51
Answer:
an=3+12n
Step-by-step explanation:
The sequence is
15, 27, 39, 51
The first term: a 1 = 15
The common difference of this sequence : d = 27 − 15 = 12
The nth term of an arithmetic sequence is given by formula
an=a+(n−1)d
So a n for this sequence will be:
an = 15 +(n−1) 12
an =(15)+12n−12
an = 3+12n
The x intercepts of y= 5(x-4)(x-3)
( , )
Please help ASAP
Answer:
(4, 0) and (3, 0)
Step-by-step explanation:
x - 4 = 0; x = 4
x - 3 = 0; x = 3
regression analysis was applied and the least squares regression line was found to be ŷ = 800 3x. what would the residual be for an observed value of (5, 811)?
a. -4
b. 4
c. 811
d. 815
The residual for the observed value (5, 811) is -4. The correct answer is (a) -4.
To find the residual for an observed value, we need to compare the observed value with the predicted value based on the least squares regression line.
The least squares regression line is given by the equation ŷ = 800 + 3x, where ŷ represents the predicted value of the dependent variable y, and x represents the independent variable.
For the observed value (5, 811), the x-value is 5, and the y-value is 811. We can substitute the x-value into the equation of the regression line to find the predicted value:
ŷ = 800 + 3(5)
= 800 + 15
= 815
The predicted value for the observed value (5, 811) is 815.
The residual is calculated by subtracting the predicted value from the observed value:
Residual = Observed value - Predicted value
= 811 - 815
= -4
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Yuto has a bag containing 3 red marbles 5 blue marbles 2 green marbles and 8 yellow Marbles what is the total number of possible outcomes for misaki’s marble
Answer:
17
Step-by-step explanation:
Mission Information :
This question is incomplete this line is missing in the question " Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble"
Now coming to the solution ,
Given :
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8
Total number of outcomes can be determined by
=Red marbles + blue marbles + green marbles + yellow Marbles
\(= 3\ +\ 5+2 +8=18\)
As mention in the given question the Rin is pulling the 1 marble ,Now Total number of outcomes
\(=18-1\\=17\)
Therefore 17 is the correct answer
My Answer:
17 is the correct answer, so letter C.
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8
To determine p-values of hypothesis tests, which of the following need to be taken into account?A. The form of the alternative hypothesisB. The form of the null hypothesisC. The degree of freedom of the point estimateD. The test statistic as an inequality
To determine p-values for hypothesis tests, you must consider the form of both the alternative and null hypotheses, the degree of freedom, and the test statistic as an inequality.
To determine the p-values of hypothesis tests, the following factors need to be taken into account:
1. The form of the alternative hypothesis: The alternative hypothesis determines the type of test (one-tailed or two-tailed) and helps identify the critical region where the test statistic would lead to rejection of the null hypothesis.
2. The form of the null hypothesis: The null hypothesis establishes a baseline for comparison and sets the assumption to be tested.
3. The degree of freedom of the point estimate: The degree of freedom affects the shape of the sampling distribution, which is essential for calculating the p-value.
4. The test statistic as an inequality: The test statistic helps us determine the position of our observed data relative to the null hypothesis. The inequality in the test statistic provides information on whether to reject or fail to reject the null hypothesis based on the p-value.
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The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X=time to pass the kidney stone. Round all answers to two decimal places. A. X ~ N( , ) B. Find the probability that a randomly selected person with a kidney stone will take longer than 21 days to pass it. C. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
A. The distribution is given as follows: X ~ N(14, 6).
B. The probability that a randomly selected person with a kidney stone will take longer than 21 days to pass it is given as follows: 0.121 = 12.1%.
C. The minimum value of the upper quartile is given as follows: 18.05 days.
How to obtain probabilities using the normal distribution?We first must use the z-score formula, as follows:
\(Z = \frac{X - \mu}{\sigma}\)
In which:
X is the measure.\(\mu\) is the population mean.\(\sigma\) is the population standard deviation.The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).
The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.
The mean and the standard deviation for this problem are given as follows:
\(\mu = 14, \sigma = 6\)
The probability of a time greater than 21 days is one subtracted by the p-value of Z when X = 21, hence:
Z = (21 - 14)/6
Z = 1.17
Z = 1.17 has a p-value of 0.879.
1 - 0.879 = 0.121.
The upper quartile is X when Z = 0.675, hence:
0.675 = (X - 14)/6
X - 14 = 6 x 0.675
X = 18.05.
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Why cant the foil method be used to multiply all polynomials.
The FOIL method, which stands for First, Outer, Inner, Last, is a technique commonly used to multiply binomials.
It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms, and then combining the results. While the FOIL method works well for multiplying binomials, it is not applicable for multiplying all polynomials.
The reason the FOIL method cannot be used to multiply all polynomials is that it only applies to the specific case of multiplying two binomials with two terms each. When dealing with polynomials that have more than two terms or polynomials of higher degrees, the FOIL method does not provide a systematic approach to handle the multiplication.
For example, consider multiplying the polynomial (x + 2) with the polynomial (x^2 + 3x - 4). Applying the FOIL method, we would only multiply the First terms (x * x^2), the Outer terms (x * 3x), the Inner terms (2 * x^2), and the Last terms (2 * -4). However, this approach overlooks the multiplication between the terms of different degrees (e.g., x * 3x or 2 * x^2) and fails to account for all possible combinations.
To multiply more complex polynomials, we typically use more advanced methods such as the distributive property, grouping, or the use of matrices. These methods provide a systematic and comprehensive approach to handle polynomial multiplication in general, accommodating polynomials with any number of terms or degrees.
In summary, while the FOIL method is a helpful technique for multiplying binomials, it cannot be used for multiplying all polynomials due to its limited applicability. For more complex polynomials, alternative methods are necessary to ensure accurate and comprehensive multiplication.
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