Answer:
The missing side = 30 cm
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
40^2 + b^2 = 50^2
1600 + b^2 = 2500
-1600 -1600
b^2=900
square root of both sides
b=30 cm
Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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Find x and y in terms of a.
x + y = 0
x + ay = 7
(a ≠1)
Answer: y=7/(a-1)
x=7/(1-a)
Step-by-step explanation:
x + y = 0
x + ay = 7
y-ay=0-7
y(1-a)=-7
y=-7/(1-a)
y=7/(a-1)
x + y = 0
x+7/(a-1)=0
x=-7/(a-1)
x=7/(1-a)
PLEASE Help ASAP!!!!!!!!!!!!!!!!!!!!!Tyson has a 50$ gift card to use at a store. He does not have additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost 15$ each. The function f(x) = 42-15x models the balance on the gift card after Tyson makes the purchases. What is the most appropriate domain of the function?
Answer:
multiply that what my teacher said do
Step-by-step explanation:
Please help me I’ve been struggling.
Answer: the first one
Step-by-step explanation:
No constant rate of change
pls help me ! (Links=report)
Answer:
WHeres the questionnn???????
Step-by-step explanation:
Matthew has an investment that is now worth $21 537.82. Find the original amount
he invested if he has had the money invested at 2.5% per month for 3 years.
A 2% solution of _______________ has been moderately effective for about 50% of men who have used it.
A 2% solution of Minoxidil has been moderately effective for about 50% of men who have used it. Minoxidil is a vasodilator that was initially developed to manage hypertension.
Minoxidil, a medication that is applied topically, is used to cure hair loss in males and females, although it is more often used in men. It works by stimulating hair growth and slowing down hair loss.Minoxidil, a vasodilator, increases blood flow to the hair follicles, allowing them to produce thicker and longer hair. It is sold under various brand names, including Rogaine, Regaine, and Avacor Physician's Formulation, and is available in various strengths, including 2% and 5%.Minoxidil is more effective in treating androgenetic alopecia, also known.
As male pattern baldness, than other types of hair loss. It is believed that minoxidil promotes hair growth by increasing the diameter of the hair shaft, resulting in thicker and longer hair growth.Minoxidil is used to treat male and female pattern baldness (androgenetic alopecia) by applying it topically to the scalp. However, like any medication, there may be side effects, such as skin irritation, burning, or itching. As a result, it is recommended that people use it under the supervision of a physician.
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Annika is planning an event for which the total cost must be no more than $400. Annika plans to spend $180 on decorations and she wants to hire a DJ at the rate of $35 per hour. Which inequality correctly shows Annika’s spending in terms of h, the number of hours that the DJ can be at the party?
the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.To express Annika's spending in terms of h, the number of hours the DJ can be at the party, we can set up an inequality by considering the total cost.
Let's represent Annika's spending on the DJ as 35h, where h is the number of hours. Additionally, we know Annika plans to spend $180 on decorations. Therefore, the total cost should be no more than $400.
The inequality can be written as:
35h + 180 ≤ 400
This inequality states that the cost of hiring the DJ (35h) plus the cost of decorations ($180) should be less than or equal to $400.
Therefore, the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.
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An equation of the line passing through the points (4,3) and (-1,1)
A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )
_____________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]
Slope = [ - 2 ] ÷ [ - 5 ]
Slope = 2/5
______________________________
y - y(0) = Slope × ( x - x(0) )
y - y(A) = Slope × ( x - x(A) )
y - 3 = 2/5 × ( x - 4 )
y - 3 = 2/5 x - 8/5
y = 2/5 x - 8/5 + 3
y = 2/5 x - 8/5 + 15/5
y = 2/5 x + 7/5
Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function (formula), determine the probability that the sample contains exactly 2 graduate students
Using the binomial probability function formula, the probability that the sample contains exactly 2 graduate students is 0.215.
The probability that the sample of 5 students contains exactly 2 graduate students using the binomial probability function can be determined by using the formula below:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where n is the sample size, k is the number of successes, p is the probability of success, and (n choose k) = n! / (k! * (n - k)!) denotes the number of ways to choose k items from a set of n items.
Using the formula above and the information given, the probability of the sample containing exactly 2 graduate students can be calculated as follows:
P(X = 2) = (5 choose 2) * (0.32)² * (1 - 0.32)^(5 - 2) = 0.215
Where (5 choose 2) = 5! / (2! * (5 - 2)!) = 10 is the number of ways to choose 2 graduate students from a sample of 5 students.
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Consider the initial value problem y’’ — y’ – 12y = 0, y(0) = a, y'(0) = 4 Find the value of a so that the solution to the initial value problem approaches zero as t → α= 8
We are given an Initial Value Problem as y’’ — y’ – 12y = 0, y(0) = a, y'(0) = 4.
To find the value of a so that the solution to the initial value problem approaches zero as t → α= 8,
we have to use the fact that if the Roots of the characteristic equation are real and distinct and of the form r1, r2,
then the General Solution is y = c1er1t + c2er2t.
Given, y’’ — y’ – 12y = 0 …..
Characteristic equation is given by, r² - r - 12 = 0On solving the above Quadratic Equation,
We get roots as r = 4 and r = -3
Therefore, the general solution of equation is y = c1e⁴ᵗ + c2e⁻³ᵗ ….
Given, y(0) = a and y'(0) = 4
Using this, we can find the values of constants c1 and c2 as follows; y(0) = a = c1 + c2 -------
y'(0) = 4 = 4c1 - 3c2------,
We get c1 = 7/5 and c2 = -2/5Therefore, the solution of the initial value problem y’’ — y’ – 12y = 0, y(0) = a, y'(0) = 4 is given by y = 7/5 * e⁴ᵗ - 2/5 * e⁻³ᵗ …..
Now we need to find the value of a such that the solution to the initial value problem approaches zero as t → α= 8
Find the value of a for which limₜ→₈⁺ (y(t)) = 0
For t → ∞, the second term e⁻³ᵗ approaches to zero whereas the first term e⁴ᵗ approaches infinity.
Hence, the Solution will not approach zero as t → α= 8 irrespective of the value of
Therefore, there is no such value of a for which the solution to the initial value problem approaches zero as t → α= 8.
There is no such value of a for which the solution to the initial value problem approaches zero as t → α= 8.
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Find the cross product a x b. a - (t, 3, 1/t), b (t2, t2, 1) Verify that it is orthogonal to both a and b. (a x b) a
Cross product of a and b : a x b = (3 - t, t - t^2, t^3 - 3t^2)
To find the cross product a x b for a = (t, 3, 1/t) and b = (t^2, t^2, 1), follow these steps:
Write out the components of vectors a and b:
a = (t, 3, 1/t)
b = (t^2, t^2, 1)
Use the cross product formula:
a x b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)
Calculate the components of the cross product:
a x b = (3(1) - (1/t)(t^2), (1/t)(t^2) - t(1), t(t^2) - 3(t^2))
Simplify the expression:
a x b = (3 - t, t^2/t - t, t^3 - 3t^2)
Write the final cross product:
a x b = (3 - t, t - t^2, t^3 - 3t^2)
To verify that the cross product is orthogonal to both a and b, we need to check if the dot product of a x b with a and b is zero.
Calculate the dot product of a x b with a:
(3 - t)(t) + (t - t^2)(3) + (t^3 - 3t^2)(1/t)
Simplify the expression:
3t - t^2 + 3t - 3t^2 + t^2 - 3t = 0
Calculate the dot product of a x b with b:
(3 - t)(t^2) + (t - t^2)(t^2) + (t^3 - 3t^2)(1)
Simplify the expression:
3t^2 - t^3 + t^3 - t^4 + t^3 - 3t^2 = 0
Since both dot products are equal to zero, the cross product a x b = (3 - t, t - t^2, t^3 - 3t^2) is orthogonal to both vectors a and b.
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In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form.
Answer:
First of all this is 5th grade math but 400/800 = 1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
400/800=1/2 as 400*2=800
The Six Sigma DMAIC approach is the best way to attack all problems and should be employed whenever possible. true or False?
False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.
What is Sigma?Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.
Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.
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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
Step-by-step explanation
….
Answer: 0.9
Step-by-step explanation:
write the equation of each line in slope-intercept form. then graph the line described by the equation
passes through (5,-4) and (-6,5)
(the question is number 6)
suppose you have randomly selected high school students to take a course to improve their sat scores. you find that the mean of their subsequent sat scores is not significantly different from the population mean of sat scores for those students who have not taken the course. which of the following statements is the most appropriate conclusion?
The most appropriate conclusion is that "we have obtained no convincing evidence that the course affects SAT scores" among the selected high school students.
This conclusion is based on the fact that the mean of the SAT scores of the selected students who took the course is not significantly different from the population mean of SAT scores for those students who did not take the course. This suggests that the course did not have a statistically significant effect on the students' SAT scores.
However, it is important to note that this conclusion is limited to the specific sample of high school students that was selected for the study. It is possible that the course could have a significant effect on SAT scores for other groups of students, or under different conditions. Therefore, further research may be necessary to determine the generalizability of these findings.
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PLSSS HELP 50 POINTSS ILL SEND 40 MORE IF U HELPP PLSSS
The cost of the hiking trip this year is 2/3of the cost of last year's trip. This year's trip cost $32
1. Write an equation that represents the cost of last years trip.
2.What was the cost of last year's trip
If you were to use the “Completing the Square” method to solve the equation below for k, what number would you add to both sides of the equation? k 2- 8k = -4
A) 16
B) –16
C) 24
D) –24
Answer:
The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.
Step-by-step explanation:
To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.
Answer:
give him brainliest
Step-by-step explanation:
lol
1/s+1/s′=1/f. m = −s′/sWhat is the magnification m? Use your answer from Part F.
Therefore, To find the magnification m, use the formula m = -s'/s and substitute the values of s and s' obtained from Part F.
We are given the lens formula, 1/s + 1/s' = 1/f, and the magnification formula, m = -s'/s. Since we need to find the magnification m using the information from Part F, I'll assume you've already found the values of s, s', and f.
Now, simply substitute the values of s and s' into the magnification formula: m = -s'/s.
Therefore, To find the magnification m, use the formula m = -s'/s and substitute the s and s values obtained from Part F.
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1) Some of these pair of angle measures can be used to prove that AB is parallel to CD. State which pairs could be used, and why.
a)
b)
c)
d)
e)
Answer:i had that too
Step-by-step explanation:
i couldnt figure it out
e
a
3
5
555
a tree t with 50 end-vertices has an equal number of vertices of degree 2, 3, 4 and 5 and no vertices of degree greater than 5. what is the order of t?
The order of T is 82.
Let n and e be the order and number of edges of T respectively.
Also, let a, b, c and d be the number of vertices of degree 2, 3, 4 and 5 respectively.
Then, 50+a+b+c+d = n
And by the Handshake Lemma, the sum of the degrees of all the vertices of T is twice the number of edges, so we have
50+2a+3b+4c+5d = 2e
Since a=b=c=d then we have the following two equations,
50+4a = n
50+14a = 2e
But, T is a tree so e=n=1, then the two equations become,
50+4a = n ...............(1)
50+14a = 2(n-1) .............(2)
Solving for a in (1) we get,
a = \(\frac{n-50}{4}\)
Plugging a into (2) we get,
50+14(\(\frac{n-50}{4}\)) = 2(n-1)
50+3.5n-175 = 2n-2
3.5n-2n = 175-50-2
1.5n = 123
n = \(\frac{123}{1.5}\) = 82
Therefore, the order of T is 82.
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I neeed helpppppppp please
Answer:
YOU CHEAT
Step-by-step explanation:
YOU GET NO ANSWER
PLEASE HURRY!!
Which equation requires the multiplication property of equality to be solved?
A. 6 a = 420
B. a + 6 = 420
C. a/6 = 420
D. a minus 6 = 420
The equation that requires the multiplication property of equality to be solved is:
\(\boxed{\sf \dfrac{a}{6}=420}\)
What is the multiplication property of equality?Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
The multiplication property states that:
If a = b, then a · c = b · cOut of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.
That is:
\(\text{If} \ {\sf \dfrac{a}{6}=420}\)
\({\sf \dfrac{a}{6}\times6=420\times6\)
\(\sf a=2520\)
Hence, the equation that requires the multiplication property of equality to be solved is:
\({\sf \dfrac{a}{6}=420}\)
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A star shape is made out of 5 congruent triangles. the peak of 1 triange is 25°. what are the sizes of the base angles?
Answer:
77.5
Step-by-step explanation:
180-25=155
155/2=77.5
Perform the indicated matrix operation on the given matrices. If any of the cells are not needed, enter a 0 (zero) in the cell. \[ A=\left[\begin{array}{lll} 3 & -5 & 1 \end{array}\right] \quad B=\lef
The given problem requires performing the matrix operation of matrix multiplication. The resulting matrix will be a 1x3 matrix.
To multiply matrices, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. In this case, matrix A is a 1x3 matrix, and matrix B is a 3x1 matrix. Since the number of columns in A matches the number of rows in B, we can perform the multiplication.
To calculate the product, we take the dot product of the corresponding elements in each row of matrix A and each column of matrix B. In this case, we multiply 3 with 4, -5 with 2, and 1 with -3. Summing up these products, we obtain the elements of the resulting matrix.
Performing the matrix multiplication, we get the matrix product AB as \(\[ AB = \left[\begin{array}{lll} 3 \cdot 4 + (-5) \cdot 2 + 1 \cdot (-3) \end{array}\right] = \left[\begin{array}{lll} 7 \end{array}\right]. \]\)
Therefore, the resulting matrix AB is a 1x1 matrix with the value 7 as its only element.
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find the area of shaded region
The area of the shaped portion of the given diagram(circle) would be = 153.86cm²
How to calculate the area of a circle?The formula which is used to calculate the area of a circle = πr²
where π = 3.14
radius = 7 cm
Therefore the area of the shaded part of the circle ;
= 3.14 × 7²
= 3.14 × 49
= 153.86cm²
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I need help on this pls
Answer:
Elephants are worth 4 the other one is worth 1.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
we have 2 elephants, and 4 horses are equal to 12 horses
First, lets form an equation. Let the elephants be e and the horses be h
2e + 4h = 12h
The horses are a variable that's equal on both sides, so we can remove them. Do this by subtracting 4h from both sides of the equals sign.
2e = 8h
Hence, 2 elephants are as strong as 8 horses. But, this equation is not simplified, the question asks for 1 elephant, so we divide by 2 on both sides of the equals sign.
hence, e = 4h
One elephant is as strong as 4 horses.
The power in watts,P, that is generated by a certain electric circuit depends on the current in amperes ,i, and can be modeled by the equation P=20(i-3)^2+180, Where i>3. Which of the following gives the value of i in terms of P?
i=3+2squareroot5(P-180)
i=3+1/2sq p-180/5
Answer:
i = {√(P-180)/20}+ 3
Step-by-step explanation:
Here, we simply need to make i the subject of the formula
that would be;
P -180 = 20(i-3)^2
Divide through by 20
(P-180)/20 = (i-3)^2
Find the square root of both sides
sqr (P-180)/20 = i-3
i = {√(P-180)/20}+ 3
A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?
Answer:
13/16 = 0.813
Step-by-step explanation: