Answer:
Step-by-step explanation:
B
Need help with 11. . . .
===========================================
Explanation:
You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.
If x is an even number, then x+2 is the next even number, and x+4 is the one after that.
Add them up to get
(x)+(x+2)+(x+4)
x+x+2+x+4
(x+x+x)+(2+4)
3x+6
Then divide by 3 to compute the average
(3x+6)/3
3x/3 + 6/3
x+2
Set this average equal to 48 and solve for x
x+2 = 48
x = 48-2
x = 46 is the smallest number
x+2 = 46+2 = 48 is the middle value
x+4 = 46+4 = 50 is the largest
Note how the middle value is exactly the average. This is because we have symmetry going on here.
It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.
-------------------
Check:
add the values: 46+48+50 = 144
divide by three: 144/3 = 48
The average of the set {46,48,50} is 48
This confirms the answer
The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds?
Answer:
[tex]E=3.97\times 10^{-27}\ \text{ergs}[/tex]
Step-by-step explanation:
It is given that,
The sun produces [tex]3.9\times 10^{33}\ \text{ergs}[/tex] of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in [tex]1.55\times 10^7\ s[/tex].
Energy produced in 1 seconds = [tex]\dfrac{1}{3.9\times 10^{33}}\ \text{ergs}[/tex]
In [tex]1.55\times 10^7\ s[/tex], energy produced is :
[tex]E=\dfrac{1}{3.9\times 10^{33}}\times 1.55\times 10^7\ \text{ergs}\\\\=3.97\times 10^{-27}\ \text{ergs}[/tex]
Hence, the radiant energy produced in 1 second is [tex]3.97\times 10^{-27}\ \text{ergs}[/tex].
Answer:
Part A: It is given that,
The sun produces 3.9x10^33 ergs of radiant energy per second.
We need to find how many ergs of radiant energy does the sun produce in 1.55 x 10^7 s
Energy produced in 1 seconds = 1/3.9 x 10^33 ergs
In 1.55 x 10^7 s energy produced is : E=3.9/10^33 x 1.55 x 10^7 ergs
= 3.97 x 10^-27 ergs
In conclusion the radiant energy radiated per second 3.97 x 10^27 ergs
Step-by-step explanation:
Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.
Answer:
x = 24
Step-by-step explanation:
y₂ - y₁
42 - 21 = 21
x + 21
3 + 21 = 24
So when y increases by 21, so does x.
x = 24
2. 1. POINT A HAS COORDINATES (4,6) AND POINT O IS AT THE ORIGIN. FIND THE DISTANCE FROM O TO A. A 6
Answer:
√52 units
Step-by-step explanation:
Here we want to find the distance between two points;
O(0,0) and A (4,6)
We can use the distance formula to find this;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(4-0)^2 + (6-0)^2
D = √(16 + 36)
D = √52
So the distance between the two points is √52 units
a coach bought three soccer balls on sale. they normally sell for $26 each. they were on sale for $7 off the original price. the total tax on the ball was $4 . the expression represents the total amount paid. Then explain how to use the order of operations to find the total amount the coach paid for the soccer balls.
Answer:
The coach paid $69 on the three soccer balls
Step-by-step explanation:
If the coach bought 3 soccer balls for 26$, minus the $7 on each, plus the $4 tax on each, the expression would be:
3 × (26 - 7 + 4)
We put the addition and subtraction in parentheses because of PEMDAS. PEMDAS say we must solve for whatever is in the parentheses first, then exponents (there are none in the expression), ans then multiplication. If those numbers were not in parentheses, the answer would look completely different as we would multiply before subtracting and adding. We must find the total amount each ball cost first:
26 - 7 + 4 = 23
Each ball cost $23
If the coach bought 3 balls for $23 each, we have to multiply the two numbers:
3 × $23
$69
Enter the correct answer in the box. What is the standard form polynomial that represents this product?
(-2m3 + 3m2 - m)(4m2 + m - 5)
Answer: -8m^5+10m^4+9m^3-16m^2+5m
Step-by-step explanation:
I had this question on a recent test and got it right
Hope this helps! :)
Answer:
The correct answer is:
-8m^5+10m^4+9m^3-16m^2+5m
Step-by-step explanation:
I got it right on the Edmentum test.
find the measure of each angle.
m
m
Answer:
BAC = 58, CAD = 32
Step-by-step explanation:
The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.
15x - 2 + 7x + 4 = 90
Combine common terms
22x + 2 = 90
Solve for x
22x = 88
x = 4
Now you can plug x into the equation for each angle to find its value.
Angle BAC
15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees
Angle CAD
7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees
Translate the statement into an algebraic inequality. The quotient of a number and five is no greater than negative nine.
Answer:
[tex]\frac{x}{5} < -9[/tex]
Step-by-step explanation:
Let x be the number
"The quotient of a number and five" means the answer of x divided by five"Is no greater than negative nine" means is less than -9Put them together: [tex]\frac{x}{5} < -9[/tex]I hope this helps!
M a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2. Which word describes their measures? linear congruent complementary supplementary
Answer:
i think it's congruent .
Step-by-step explanation:
Answer:
complementary i believe
Step-by-step explanation:
smoovin
Find the mean absolute deviation for the set {-32,9,11,12}
A)0
B)8
C)16
D)32
Plssss help
Answer:
The answer is A i think.
Step-by-step explanation:
Im taking the test lol.
Answer:
The answer is 16
Step-by-step explanation:
Find the slope. ( include whether positive or negative.)
Answer:
that is a negative slope
but dont know how to find the slope sorry
Step-by-step explanation:
[tex]\tt Step-by-step~explanation:[/tex]
Remember: To find the slope, we use the equation Rise/Run.
[tex]\tt Step~1:[/tex]
Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.
[tex]\tt Step~2:[/tex]
To find the run. we count left/right. We could count 8 units. Our run is 8.
The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.
[tex]\tt Step~3:[/tex]
To find the slope, we use the formula rise/run.
[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]
[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]
3(a+3)+6=30 Solve for a.
Answer:
a = 5
Step-by-step explanation:
3 (a + 3) + 6 = 30
Use the distibutive property to multiply 3 by a + 3
3a + 9 + 6 = 30
Add 9 and 6 to get 15
3a + 15 = 30
Subtract 15 from both sides
3a = 30 - 15
Subtract 15 from 30 to get 15.
3a = 15
Divide both sides by 3.
a = 15/3
Divide 15 by 3 to get 5
a = 5
Answer this question... ( ^__^ )
Answer:
The answer is C
Step-by-step explanation:
The lowest point on the graph of a parabola that opens up is the what of the parabola?
a. range
b. axis of symmetry
c. vertex
d. domain
Answer:
c the vertex
Step-by-step explanation:
hope this helps!
The sun of D and 5 is greater than or equal to -1 and the sun of D and 5 is less than or equal to 4. List 3 integers that satisfy the inequality
Answer:
-5, -2, -1
Step-by-step explanation:
Inequalities
The question provides us with two conditions:
D+5≥-1
D+5≤4
Solve the first inequality. Subtract 5 to both terms:
D≥-1-5
D≥-6
Solve the second inequality. Subtract 5 to both terms:
D≤4-5
D≤-1
We must find three numbers that comply with both conditions, i.e. it must be greater or equal -6 and less or equal than -1. Any integer number in the interval [-6,-1] solves the problem. We select the following list:
-5, -2, -1
3x+8=13x-8x. Also it’s asking me to check can you send a check too thanks
Answer:
x = 4 CAN I HAVE BRAINEST PLZ
Step-by-step explanation:
3x + 8 = 13x - 8x (collect like terms)
3x + 8 = 5x (subtract 3x on both sides)
8 = 2x (divide by 2 on both sides)
4 = x
CHECK
3(4) + 8 = 13(4) - 8(4)
12 + 8 = 52 - 32
20 = 20
Calculate the mean ,median, or mode of a distribution. There are 10 bags containing tickets numbered 1 to 20. Ten students draw a ticket from each bag. One student drew tickets with the numbers. 5,8,18,1,14,6,8,13,8,19 what would be the correct mean, median, and mode
Answer:
Step-by-step explanation:
Mean = sum of variables/sample size
Sum of variables = 5+8+18+1+14+6+8+13+8+19
Sum of variables = 100
Sample size = 10
Mean = 100/10
Mean = 10
Median is the value at the centre after rearrangement.
On rearrangement
1,5,6,8),8,8,(13,14,18,19
Median = 8+8/2
Median = 16/2
Median = 8
Mode is the value with the highest frequency. The value that occur the most. From the datas, the mode is 8 since it occurred 3 times.
Identify the odd function.
A) f(x) = 5
B) f(x) = 8x
C) f(x) = |x3|
D) f(x) = x2 + 7
Answer:
Step-by-step explanation:
odd functions are those function in which
-f(x) = f(−x)
if the function is odd , the graph of function is symmetrical about origin.
_________________________________________________
In the given problem
option B is correct answer
B) f(x) = 8x
replacing x with -x to satisfy the above described condition
f(-x) = 8(-x) = -8x
as we know 8x is equal to f(x)
f(-x) = -8x = -f(x)
hence,
f(-x) = -f(x)
hence, option B is correct answer.
What is division problem has the same quotient as -27 Divided by9
Answer:
-9/3
Step-by-step explanation:
A multiple-choice test with 50 questions has five possible choices for each question. There are 4 points for each correct answer, -1 point for each incorrect answer, and 0 points for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?
Answer:
130 points
Step-by-step explanation:
Answer:
130 points
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
*gives help*
:)
Step-by-step explanation:
help on math angle question. ik its easy but I have no idea how math works :D
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
complementary angles are angles that equal to 90º
so let's add the terms (from angles A & B) and set them equal to 90º
3x+2 + x-4 = 90
4x -2 = 90
add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms
4x = 92
divide both sides by 4
x=23
We're not done though, we must plug in our x value to Angle A terms and Angle B terms.
(3(23) + 2)º = measure of Angle A (solve for both of them)
(23-4)º = = measure of Angle B
3(23) + 2 =
3(23) = 69 (add the 2)
71º is measure of angle A
23-4 = 19º
19º is measure of angle B
double-check
71+19 = 90º
It works
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
Find the equation of the line in slope-intercept form. c Slope is 3/5 and (0, −2)
Answer:
y=3/5x-2
Step-by-step explanation:
The slope is already given, 3/5 so just plug it in to the base formula y=mx+b
And the coordinate (0,-2) is your y-intercept. So plug in -2 to b
Therefore y=3/5x-2
If x+ 9 = 11, then x = 2.
x would equal 2...
Step-by-step explanation:
true.
Answer:
Yes, you are correct.
Step-by-step explanation.
We will flip the question.
11 - 9 = x
is the same as.
11 - 9 = 2...
________________________________________________________
So... x = 2.
Evaluate the expression below using the properties of operations. Show your steps to receive full credit. −36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6
Answer:
(-162)/7 or -23 1/7 as a mixed fraction
Step-by-step explanation:
Simplify the following:
(-36)/14 (-18) (-3)/6
Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.
(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):
(-36 (-18) (-3))/(14×6)
Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.
(-18)/6 = (6 (-3))/6 = -3:
(-36-3 (-3))/14
Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.
The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:
(-18 (-3) (-3))/7
Hint: | Multiply -18 and -3 together.
-18 (-3) = 54:
(54 (-3))/7
Hint: | Multiply 54 and -3 together.
54 (-3) = -162:
Answer: (-162)/7
3to the 4 power times 2to the Third power
Answer:
648
Step-by-step explanation:
[tex]3^4 \cdot 2^3 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 2 \cdot 2 \cdot 2 = 81 \cdot 8 = 648[/tex]
Answer:
648
Step-by-step explanation:
Step 1:
First, make an equation:
3⁴ · 2³
Step 2:
Then, simplify both factors:
3⁴ = 81
2³ = 8
Step 3:
Finally, multiply the numbers together:
81 · 8
And you will get 648.
A cat can run 30 mph at this rate how many minutes would it take a cat to run 1.5 miles
Answer:
Use a proportion::
time/dist = time/distance
t/1.5 = 1/30
t = 1.5/30
t = 15/300
t = 1/20 = 5/100 = 0.05
So A-0.05 is the final answer
Step-by-step explanation:
ik this was 3 yrs ago
hayden places these four blocks into bag
he pick one block wihtout looking
what is the probability that the block hayden picks has a letter on it
Answer:
1/4
Step-by-step explanation:
4 blocks have been picked, but just one wasn't looked at, therefore only that one has the letter.
Triangles J K L and P Q R are connected at points K and Q. The lengths of sides J K and Q P are congruent and the lengths of sides K L and K R are congruent. Angles L K J and R Q P are congruent.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
acd
Step-by-step explanation:
edg 2021
A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.
What is Congruency
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.
Rule of Congruency:
1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.
3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.
4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.
Since JK= QP
KL= KR
Angle LKJ= Angle QRP
So Δ LKJ ≅ Δ QRP.
Learn more about Congruency here
https://brainly.com/question/2102943
#SPJ10
Help this is due today!
Answer:
that looks hard! gl :)
Step-by-step explanation: