Answer:
-16
Step-by-step explanation:
What is the missing value A=3 b=5 c=?
Answer:
4
Step-by-step explanation:
Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 7 f(x) dx 4 lie?Which property of integrals allows you to make your conclusion?
Answer:
3m ≤ ∫ f(x) dx ≤ 3M, at limit of b, a
Step-by-step explanation:
Like the question asked, which property of integral was used.
Property 8 of integrals was the basis upon which the question was solved.
The property of the integral is used to solve the problem. The function is given below.
[tex]3m & \leq \int_a^b f(x)dx \leq 3M \end{aligned}[/tex]
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Suppose f has absolute minimum value m and absolute maximum value M.
We know that the property of the integral can be used.
If m ≤ f(x) ≤ M ∀ a ≤ x ≤ b. Then we have
[tex]m (b-a) \leq \int_a^b f(x) dx \leq M(b-a)\\[/tex]
Then we have
[tex]m \leq f(x) \leq M \ \ and \ \ 4 \leq x \leq 7[/tex]
This means that
[tex]\begin{aligned} m(7-4) & \leq \int_a^b f(x)dx \leq M(7-4)\\\\3m & \leq \int_a^b f(x)dx \leq 3M \end{aligned}[/tex]
More about the function link is given below.
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Choose the function to match the graph.
Answer:
your pics a little blurry but if i am reading it right
the first one
f(x)=log x+5
5. A group of hikers descended 1,200 feet from a
mountain in 3 hours. What was the change in elevation
per hour? Write your answer as an integer.
Answer:
300 feet an hour
Step-by-step explanation:
in three hours they went down 1200 feet so that means in 1 hour they will go down 300 feet if they take no break
AB =4x+7
BC= 5x-8
AC=????
Answer:
i'm not sure so i'm sorry if it is not the right answer
Step-by-step explanation:
Let's assume AC is a straight line and B is on the line between A and C
AC=AB+BC
AC=4x+7+5x-8
AC=9x-1
-1
The distance AB
rounded to the
nearest tenth = [?]
Help Resources
-2
-1
0
Skip
B
Hint: Use the distance formula:
d = (x2 – X1)2 + (y2 - yı)?
Enter
Answer:
AB = 4.5
Step-by-step explanation:
Distance between A(-1, 2) and B(1, -2):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-1, 2) = (x_1, y_1) [/tex]
[tex] B(1, -2) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(1 - (-1))^2 + (-2 - 2)^2} [/tex]
[tex] AB = \sqrt{(2)^2 + (-4)^2} [/tex]
[tex] AB = \sqrt{4 + 16} = \sqrt{20} [/tex]
[tex] AB = 4.5 [/tex] (nearest tenth)
1. The point A(-4,6) is rotated 90 degrees counterclockwise and then translated 3 units up.
What is the point A'?
A
(-6, -7)
B. (-6, -1)
C. (6.7)
D. (9.7)
Answer:
Step-by-step explanation:
Suppose we are estimating a population proportion by its sample equivalent.
(a) We have a sample of n = 10 units and we find the proportion is p = .4. If the true proportion is p= .3 find PC Ô-p|>.2)
(b) Consider the same problem as in part (a) but now, our sample size is n = 400. Find P( P-p> .001)
Answer:
(a) 0.16759
(b) 0.9649
Step-by-step explanation:
Given that:
n = 10 , p = 0.3 and [tex]\hat p = 0.4[/tex]
[tex]P(|\hat p - p| > 0.2 ) = 1 - P ( |\hat p -p| \leq 0.2)[/tex]
= [tex]1 - P(-0.2 \leq \hat p-p \leq 0.2)[/tex]
= [tex]1 - P \begin {pmatrix} \dfrac{-0.2}{\sqrt{\dfrac{pq}{n}}} \leq \dfrac{\hat p -p}{\sqrt{\dfrac{pq}{n}}} \leq \dfrac{0.2}{\sqrt{\dfrac{pq}{n}}} \end {pmatrix}[/tex]
[tex]=1 - P \begin {pmatrix} \dfrac{-0.2}{\sqrt{\dfrac{(0.3)(1-0.3)}{10}}} \leq Z \leq \dfrac{0.2}{\sqrt{\dfrac{(0.3)(1-0.3)}{10}}} \end {pmatrix}[/tex]
[tex]=1 - P \begin {pmatrix} \dfrac{-0.2}{\sqrt{\dfrac{(0.3)(0.7)}{10}}} \leq Z \leq \dfrac{0.2}{\sqrt{\dfrac{(0.3)(0.7)}{10}}} \end {pmatrix}[/tex]
[tex]=1 - P \begin {pmatrix} \dfrac{-0.2}{\sqrt{0.021}} \leq Z \leq \dfrac{0.2}{\sqrt{0.021}} \end {pmatrix}[/tex]
[tex]=1 - P \begin {pmatrix} -1.380 \leq Z \leq 1.380 \end {pmatrix}[/tex]
= 1 - P( Z ≤ 1.380) - P(-1.380)
= 1 - ( 0.91620 - 0.08379 )
= 1 - 0.83241
= 0.16759
b) when n = 400; p =0.3 , q = 1 - p = 1 - 0.3 = 0.7
[tex]P( |\hat p - p | > 0.001) = 1- P ( |\hat p - p | < 0.001 )[/tex]
[tex]= 1- P ( -0.001 < \hat p - p < 0.001 )[/tex]
[tex]= 1- P ( \dfrac{-0.001}{\sqrt{\dfrac{pq}{n}}} < \dfrac{ \hat p - p}{\dfrac{pq}{n}} < \dfrac{0.001}{\sqrt{\dfrac{pq}{n}}} )[/tex]
[tex]= 1- P ( \dfrac{-0.001}{\sqrt{\dfrac{0.3\times 0.7}{400}}} < Z < \dfrac{0.001}{\sqrt{\dfrac{0.3 \times 0.7}{400}}} )[/tex]
[tex]= 1- P ( \dfrac{-0.001}{\sqrt{5.25 \times 10^{-4}}} < Z < \dfrac{0.001}{\sqrt{5.25 \times 10^{-4}}} )[/tex]
[tex]= 1- P ( -0.0436< Z < 0.0436)[/tex]
= 1 - P ( Z < 0.0436) - P ( -0.0436)
= 1 - (0.5176 - 0.4825)
= 1 - 0.0351
= 0.9649
Please answer I will make you Brainliest if it's right How do I do this step by step??
Answer:
[tex] \sqrt{2 \times 2 \times 2 \times 3 } = \sqrt{24} = \sqrt{4 \times 6} = 2 \sqrt{6} [/tex]
Answer:
Step-by-step explanation:
Polygon QQQ is a scaled copy of Polygon PPP using a scale factor of \dfrac1221start fraction, 1, divided by, 2, end fraction. Polygon QQQ's area is what fraction of Polygon PPP's area?
Answer: Area of Polygon Q is [tex]\dfrac14[/tex] of Area of Polygon
Step-by-step explanation:
Given: Polygon Q is a scaled copy of Polygon P using a scale factor of [tex]\dfrac12[/tex] .
According to the property of scale factor ,
Area of the image = (scale factor )²x (Area of the original figure)
So, Area of Polygon Q = [tex](\dfrac12)^2[/tex] x (Area of Polygon P)
⇒ Area of Polygon Q = [tex]\dfrac14[/tex] x (Area of Polygon P)
Hence, Area of Polygon Q is [tex]\dfrac14[/tex] of Area of Polygon P.
Answer:
1/4
I did on khan
Step-by-step explanation:
The length of a toucan is about two thirds the length of a macaw. Toucans are about 24 in. long. What is the length of macaw
Answer:
12, 12 and 12 so 36
Step-by-step explanation:
What function do you know from calculus is such that its first derivative is itself?The above function is a solution of which of the following differential equations?a. y = ey.b. y = 1.c. y = y.d. y = y2.e. y = 2y.What function do you know from calculus is such that its first derivative is a constant multiple k of itself? The above function is a solution of which of the following differential equations?a. y = ky.b. y = yk.c. y = eky.d. y = k.e. y = y + k.
Answer:
a. y= e raise to power y
c. y = e^ky
Step-by-step explanation:
The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of
x³ would be 2x³-² or 2x².
But when we take the first derivative of y= e raise to power y
we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.
On simplification
y= e^y
Applying ln to both sides
lny= ln (e^y)
lny= 1
Now we can apply chain rule to solve ln of y
lny = 1
1/y y~= 1
y`= y
therefore
derivative of e^y = e^y
The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.
Similarly when we take the first derivative of y= e raise to power ky
we get y=k multiplied with e raise to power ky. This is because the derivative of e raise to a constant and power is equal to constant multiplied with e raise to power y.
On simplification
y= k e^ky
Applying ln to both sides
lny=k ln (e^y)
lny=ln k
Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)
lny = ln k
1/y y~= k
y`=k y
therefore
derivative of e^ky = ke^ky
At noon, the temperature in Ebonsville, Texas was 29℉. By midnight, the temperature had fallen to −10℉. What was the change in temperature over the 12-hour period?
Answer:
i believe it's 39
Step-by-step explanation:
29 -39 = -10
what Is the area of the trapezoid
18m
Step-by-step explanation:
5x3=15 +3 =18
Adam built a tree house with a rectangular base. The length of the base is 7 inches more than its width.
Ifw represents the width of the tree house, which inequality could be used to determine what lengths would make the area of the base
of the tree house greater than 293 square Inches?
W + 7 > 293
202 + 286 > 2,051
w2 + 7w > 293
12 + 293 > 293
Submit
w²+7w>293 is the inequality which we use to determine what lengths would make the area of the base of the tree house greater than 293 square Inches
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Adam built a tree house with a rectangular base.
The length of the base is 7 inches more than its width.
Length=W+7
W is the width
The area of the base of the tree house greater than 293
We need to find the inequality to represent the area of the base of tree
Area of rectangle=Length×width
293=(w+7)w
293=w²+7w
As area is greater we have
w²+7w>293
Hence, w²+7w>293 is the inequality which we use to determine what lengths would make the area of the base of the tree house greater than 293 square Inches
To learn more on Rectangle click:
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Write 40/64 in simplest
Write a rule to describe each transformation.
11. P (3,4), Q (3,5), R (4,5), S (5,0)
to
P’ (0,3), Q’ (0,4), R’ (1,4), S’ (2,-1) 12.
F (-4,1), E (-4,3), D (-1,3) to
F’ (1,4), E’ (3,4), D’ (3,1)
B (-3, -5), C (-2,-2), D (-1,-2) to
B’ (3,-5), C’ (2,-2), D’ (1,-2)
A football is thrown by a quarterback to a receiver. The points in the figure show the height of the football, in feet, above the ground in terms of its distance, in yards, from the quarterback. Use this information to solve the problem. Find the coordinates of point B.
Answer:
Coordinates of the point B will be (14, 3.5).
Step-by-step explanation:
From the graph attached,
Distance between the Quarterback and Receiver = x-coordinate of the point B = 14 yards
Similarly, height of the football from the ground at point B = y-coordinate of the point B = 9 + [tex]\frac{12-9}{2}[/tex]
= 9 + 1.5
= 10.5 feet
Since, 1 feet = [tex]\frac{1}{3}[/tex] yards
10.5 feet = [tex]\frac{10.5}{3}[/tex]
= 3.5 yards
Therefore, coordinates of the point B will be (14, 3.5).
laws of Sines. Find each measurement indicated. Round your answers to nearest tenth. Part 1
Answer:
1) 19.0km
2) 23.9mi
3) 53.9yd
4) 30.0mi
(all answers rounded off to the nearest tenth)
Step-by-step explanation:
Please see the attached pictures for full solution.
17. Write a quadratic equation to find two consecutive odd natural numbers whose
product is 63. Then find the numbers
Answer:
7 and 9
Step-by-step explanation:
So we want two consecutive odd numbers whose product is 63.
Let's write an equation.
Let's let n be a random integer: doesn't matter what it is. Therefore, the first integer must be 2n+1.
This is because we're letting n be whatever it wants to be. If we multiply that whatever number by 2, then it will turn even. If we add 1 to an even number, it becomes odd.
Therefore, our first odd number is (2n+1). Our second, then, must be (2n+3).
Multiply them together. They equal 63. Thus:
[tex](2n+1)(2n+3)=63[/tex]
Expand:
[tex]4n^2+6n+2n+3=63[/tex]
Combine like terms:
[tex]4n^2+8n+3=63[/tex]
Subtract 63 from both sides:
[tex]4n^2+8n-60=0[/tex]
Divide both sides by 4:
[tex]n^2+2n-15=0[/tex]
And now, factor:
[tex](n+5)(n-3)=0[/tex]
Zero Product Property:
[tex]n+5=0\text{ or } x-3=0[/tex]
Find n:
[tex]n=-5\text{ or } n=3[/tex]
So, we've found n.
Then the first integer is either:
[tex]2(-5)+1 \text{ or } 2(3)+1[/tex]
Evaluate:
[tex]-9 \text{ or } 7[/tex]
However, we want two consecutive odd natural numbers. So, ignore the -9.
Therefore, our first odd integer is 7.
And our second one would be 9.
So, our answer is 7 and 9.
And we're done!
In a hockey game, Seth took 12 shots and scored 3 times.
Zak took 10 shots and scored twice. Who scored on a
greater fraction of his shots?
Answer:
Seth
Step-by-step explanation:
Seth:3/12 = 0.25
0.25*100 = 25%
Seth scored at 25%
Zak:2/10 = 0.2
0.2*100 = 0.2
0.2*100 = 20%
Zak scored at 20%
then:
25>20
then:
Seth scored on a greater fraction of his shots.
Zak scored on a greater fraction of his shots.
Given,
In a hockey game, Seth took 12 shots and scored 3 times.
Zak took 10 shots and scored twice.
We need to find who scored on a greater fraction of his shots.
How do we compare fractions?
We can compare fractions by finding their decimal values a nd comparing them.
Example: 1/2 and 2/5
1/2 = 0.5
2/5 = 0.4
0.5 is greater than 0.4.
Find the number of score Seth shots out of 12 shots.
= 3
We can write in fractions as:
3/12 _____(1)
Find the number of score Zak shots out of 10 shots.
= 2 x 3
= 6
We can write in fractions as:
6/10 _____(2)
Compare (1) and (2)
3/12 = 1/4 = 0.25
6/10 = 3/5 = 0.6
0.25 is less than 0.6
6/10 is a greater fraction than 3/12
Thus Zak scored on a greater fraction of his shots.
Learn more about how to compare fractions here:
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Simplify the expression using
order of operations
12 (10-5) - 40 + (4+1)
ans is 25
Step-by-step explanation:
12(10-5)-40+(4+1)
=12 of 5 - 40 + 5
= 60 - 40 +5
=60 +5 - 40
=65-40
=25
Answer:
-25
Step-by-step explanation:
We start off by using PEMDAS. 10-5 then 4+1.
12(5)-40+5
we multiply, then add and subtract giving us -25
Which of the following would you consider to be an example of a geometric line segment? Please
explain your answer or answers.
The 10-yard line on a football field
A scientist's line of vision as he looks into space with a telescope
A line of 15 dancers on stage
A light shone into the darkness
Hands of a clock
Answer:
The 10-yard line on a football field
Step-by-step explanation:
A geometric line segment is a straight path of points(that is a line) that has two end points (that is a beginning and an end). A 10 yard line on a football field is a line segment because it has two endpoints which is at the beginning of the 10 yard and at the end of the 10 yard.
A scientist's line of vision as he looks into space with a telescope is not a line segment because it extends forever (has no end).
A line of 15 dancers on stage is not a line segment, A light shone into the darkness is not a line segment because it continues forever and also, the hands of a clock is also not a line segment.
Question Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?
6) 6a + 34 = -3(-2a + 8)
step 1: open up the brackets ( rmb to flip the signs )
step 2: bring 'a' to one side and the numbers to the other
6a + 34 = -3(-2a + 8)
6a + 34 = 6a - 24
6a - 6a = -24 - 34
0 = - 58
the final ans is kind of weird but here's my solution :))
You spin the spinner twice what is the probability of landing on 6 and then landing on 6 again
1/8 since 4*2=8 and there is one spot you can land on with 6.
Answer:
2/8
Step-by-step explanation:
If you are spinning it twice and there is 4 places that is where you get the 8 The 2 comes from how many times you are spinning
a medical transcriptionist has a four drawer cabinet. one drawer is 4/5 full and one is 1/2 full and one drawer is 3/4 full. can the contents be combined into 3 drawers why or why not
Answer:
Yes, provided they are all the same size.
Step-by-step explanation:
4/5=0.8
1/2=0.5
3/4=0.75
0.8+0.5+0.75=n
8+5=13
0.8+0.5=1.3
1.3+0.75=2.05
Veronica deposited $11 in a savings account that earns 1.9% simple interest. Which graph represents this scenario?
Answer:
Option C
Step-by-step explanation:
Initial balance= $11Interest rate = 1.9% PA simpleIt will be graphed as function:
y = 11 + 0.019xSince is has a very small slope of 0.019 it will be shown almost parallel to x axis.
Some points on the graph:
Amount in 1 year= 11*(1+0.019) = $11.21Amount in 2 years = 11*(1+2*0.019) = $11.42Amount in 6 years = 11*(1+6*0.019) = $12.25Amount in 10 years = 11*(1 + 10*0.019) = $13.09Correct graph is option C
(Question is on the picture)
Answer:
Step-by-step explanation:
5. (6.5 - 2)/(7 - 4) = 4.5/3 = 1.5
6. (8 - 8)/(-5 - 10)= 0/-15= 0
7. (-3 + .75)/(4 - 1) = -2.25/3 = -.75= -3/4
8. (2 + 7)/(18 - 18)= 9/0 = undefined
ok so I need help on this question. How would you evaluate this expression, -8x + 5 -2x - 4 + 5x when x=2. How would you write the expression in simplest form?
Answer:
Here are the basic steps to follow to simplify an algebraic expression:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants.
Step-by-step explanation: