Answer:
The average rate of change for the function over the given integral
[tex]A(x) = \frac{e^{-2} -1}{2}[/tex]
Step-by-step explanation:
Explanation
Average rate of a function:-
We can define the average rate of change of a function from a to b
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = eˣ
Given interval x = a = -2 and y = b = 0
f(a) = f(-2) = e⁻²
f(b) = f(0) = e⁰
[tex]A(x) = \frac{e^{-2} -1}{0-(-2)}[/tex]
The average rate of change for the function over the given integral
The pair of triangles that are congruent by the ASA criterion is
The pair of triangles that are congruent by the SAS criterion is
___________________________________________________________
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
___________________________________________________________
___________________________________________________________
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
___________________________________________________________
The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
so, we have,
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Hence, The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
To learn more on triangle click:
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Use the following half-angle identity to find the exact value of tan165.
Tan(a/2)= plus or minus the square root of (1-cos a/ 1+cos a)
A. 2- sqrt 3
B. 2+ sqrt 3
C. - sqrt (7-4 sqrt 3)
D. Sqrt (7-4 sqrt 3)
Answer:
d on edge
Step-by-step explanation:
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)
z=
p=
Answer:
1) z = -6.32
2) p-value = 0.001 × 10^(-2)
3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
Step-by-step explanation:
We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.
Thus:
Sample proportion; p^ = 400/1000 = 0.4
Sample size: n = 1000
We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.
Thus, the hypothesis is defined as;
Null hypothesis:H0: p ≥ 0.5
Alternative hypothesis: Ha < 0.5
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Plugging in the relevant values;
z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)
z = -6.32
From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;
We have:
p-value = 0.00001 = 0.001 × 10^(-2)
The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
Since 1 inch=2.54 centimeters what does 1 centimeter equal in inches?
Answer:0.393701 Inches
Step-by-step explanation:
Answer:
0.39
Step-by-step explanation:
0.39 is the answer. The answer above gives you the exact numbers.
Which of the following could be the areas of the three squares shown
Answer:
Can't answer if you don't have the answers
Answer: It’s A
Step-by-step explanation:
You have $140 in a savings account and save $12 per week. Your friend has $92 in a savings account and
saves $18 per week. How many weeks will it take for you and your friend to have the same balance?
Answer:
it would take 5 weeks for you and your friend to have the same balance
9. If 15 men working 10 days earn $500. How much will 12 men earn working 14,
days? [Ans. $560]
7
Answer:
Firstly need to understand the questions.
If 15 men working 10 days, They earn 500.
If 12 men working 14 days, how much they will earn?
Step-by-step explanation:
560
Solution:
15 men working for 10 days =500
1 man working for 1 day = 500/(10*15) =10/3
Now 12 men working for 14 days = 12*14*10/3 =560.
I am pretty sure that answer is right.
Thank you :)
Which expression can be used to calculate the rate per second at which the machine launches the balls?
Answer:
Step-by-step explanation:
[tex]\frac{16}{4}[/tex]
What is the distance between the points (13, 5) and (13, -13)?
Answer:
18 studs
Step-by-step explanation:
If you label them correctly on a graph you will see this is the correct answer.
pplease please please please please please please please please please please help me
Answer:
I'm I'm confused because
Step-by-step explanation:
which question are you talking about?
help me quick!!!..!..!
Answer:more info needed
Step-by-step explanation:
Do the ratios 5:10 and 1:2 form a proportion? yes no
Answer:
Yes
Step-by-step explanation:
They both have a ratio of 1:2 and start at the origin (0,0)
Answer:
yes
Step-by-step explanation:
1*5 = 5
2*5 = 10
hope this helps, pls mark brainliest :D
A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?
Answer:
[tex]a(t) =n(0.25t^2)[/tex]
Step-by-step explanation:
Given
[tex]r(t) = 0.5t[/tex]
[tex]a(r) = nr^2[/tex]
Required
Determine the area in terms of time
From the question, we have:
[tex]r(t) = 0.5t[/tex] -> radius per time
and
[tex]a(r) = nr^2[/tex] --> area from radius
The interpretation of the question is to find the composite function: a(t)
If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the
Substitute 0.5t for r
[tex]a(t) =n(0.5t)^2[/tex]
[tex]a(t) =n*0.25t^2[/tex]
[tex]a(t) =n(0.25t^2)[/tex]
The scale on a map is 1in=500miles. How many inches apart are cities that have a distance of 3000 miles between them
Answer:
Im sorry but i will answer when i get back from school.
Step-by-step explanation:
Give a polynomial of degree 3 that has zeros of 18, 10i, and -10i and has a value of -3434 when x = 1. Write the polynomial in standard form
Answer:
nice answer I think so so keep doing what you are doing
9x(-1)-18 divided by (4+5)
Answer:
Step-by-step explanation:
9x times -1 =-9x
-9x-18 divide
(4+5=)9
divide 18 by the denominator 9 and get
-9x-2
/1
since anything pretty much divided by 1 remains the same this is simplified to
-9x-2 and since you dont know x's variable this is its simplifed form
Answer:
-9x-2
Step-by-step explanation:
[tex]9x(-1)-18/(4+5)[/tex]
Multiply 9x and -1
[tex]-9x-18/(4+5)[/tex]
Add 4 and 5
[tex]-9x-18/9[/tex]
Divide 18 and 9
[tex]-9x-2[/tex]
I hope this helps!
Ingredients 12 slices of bacon 34 of a cup of popcorn kernels stick of butter 3 tablespoons pure maple syrup
Answer:
Is this a question? A recipe? Or a challenge?
Step-by-step explanation:
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
G = 7
Step-by-step explanation:
Divide both sides by 5.1 to get G by itself.
Divide 5.1 by 5.1 and get 1
Divide 35.7 by 5.1 to get 7
G = 7
Brainliest pls
Answer:
7
Step-by-step explanation:
5.1g = 35.7
g is being multiplied by 5.1. The opposite operation to multiplication is division. To get rid of the 5.1 multiplying g, we need to divide 5.1g by 5.1 since 5.1/5.1 = 1. The rule of equations is that you must do the same operation to both sides of the equation. Since we need to divide the left side by 5.1, we divide both sides by 5.1.
5.1g/5.1 = 35.7/5.1
g = 7
Answer: 7
Using scientific notation, what is the solution to (5.4 * 105) - (1.2 * 103)?
5.412 * 105
5.388 * 102
5.388 * 103
5.388 * 105
Answer:
[tex]5.4*10^{5}-1.2*10^{3}=5.388*10^{5}[/tex]
Step-by-step explanation:
We can rewrite [tex]1.2*10^{3}[/tex] as [tex]0.012*10^{5}[/tex].
Now, let's subtract each term:
[tex]5.4*10^{5}-0.012*10^{5}[/tex]
we can take a common factor.
[tex](5.4-0.012)*10^{5}=5.388*10^{5}[/tex]
Therefore the answer is [tex]5.388*10^{5}[/tex].
I hope it helps you!
The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.
Write your answer in exact form.
Answer:
r = 64
Step-by-step explanation:
r = (k*t*u)/s
Where,
k = constant of proportionality
t = -12,
u= -7,
s= -4,
r= -126.
r = (k*t*u)/s
-126 = (k*-12*-7)/-4
-126 * -4 = 84k
504 = 84k
k = 504/84
k = 6
Find r when t= -8, u= 8, and s= -6.
r = (k*t*u)/s
= (6*-8*8) / -6
= -384 / -6
= 64
r = 64
Find the equation of the line specified. The line passes through the points (7, -7) and (6, -5)
a. y = -2x + 7
b. y = 2x -21
c. y = -2x - 7
d. y = 2x - 7
Answer:
a. y = -2x + 7
Step-by-step explanation:
First, find the slope by plugging the points into the slope formula, [tex]\frac{-7+5}{7-6}[/tex], which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.
Answer:
A
Step-by-step explanation:
Jim is older then Kelsey.The sun of their ages is 88 and the difference of their ages is 30. Write a system of equations to represent this situation.how old is Jim? How old is Kelsey?
Answer: System of equations •y+x=88 •y-x=30
Step-by-step explanation: Let x represent Jim and y represent Kelsey.
1. The problem says the sum of their ages is 88 in order to get 88 you would have to add x (Jim) and y (Kelsey) together. By doing this you would get y+x=88
2. The problem says that the difference of their ages is 30. In order to get 30 you would subtract x (Jim) from y (Kelsey) By doing this you would get y-x=30
What is the temperature in degrees Fahrenheit of a freezer kept at −25°C?
538.6 − ____ is about 500. Write a decimal that when rounded to the nearest whole number makes the equation true.
2 cm on a map are equal to 3km in real life. if two points are 8 cm apart on the map how fat apart are they in real life
Answer:
12 km
Step-by-step explanation:
Is this really college level math?
Answer:
12 Km
Step-by-step explanation:
Ratio
=2:300000
=2/300000
=1:150000
=8*150000
=1200000cm
=12Km
Mark as Brainliest
In India It is 3rd class maths
need help asap pic 48 POINTS
Answer:
p = -9 ; open circle pointing left
Step-by-step explanation:
-7p + 3 < - 60
*subtract 3 from both sides*
-7p < -63
*divide both sides by -7*
p < -9
Darnell has $52.50 to spend on clothes. He buys a coat for $31.75 and spends the rest on shirts that cost $8.10 each. Which inequality represents the situation, where s is the number of shirts that Darnell can buy?
Answer: 31.75 + 8.10s ≤ 52.50
Step-by-step explanation:""""Brainlest anwser""""""
Answer:
Answer: 31.75 + 8.10s ≤ 52.50
Step-by-step explanation:
The number b is rational. Which statement about
is true?
b
is rational
4
b
is irrational
4
b
can be rational or irrational, depending on the
4.
value of b.
Answer:
b
Step-by-step explanation:
hi
Apples sell 4 for 2.40 how much do 6 apples cost
Answer:
3.6
Step-by-step explanation:
Answer:
$3.60
Step-by-step explanation:
2.40 / 4 = .60 per each apple, simple mental math.
60 * 6 = 360
What is the probability of the following, (for each answer, enter an exact number)
(A) an event A that is certain to occur
Answer:
Probability of certain event P(E) = 1
Step-by-step explanation:
An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.
Probability of certain event P(E) = 1