Answer:
1134
Step-by-step explanation:
Again I chose to separate the top half from the bottom.
top half: B*h=12*10*7=840
bottom half:21*7*2=294
add these two together 840+294=1134
List the domain and range of the relation {(7. - 8), (5,5), (0.-8), (5,1) (7.8)}
Lets call the above set of points \(L\).
The domain is between minimum and maximum of the x-coords points specified,
\(\mathrm{min}(L;x)=0\)
\(\mathrm{max}(L;x)=7\)
So domain is \(D_L=[\mathrm{min}(L;x),\mathrm{max}(L;x)]=[0,7]\).
The range is the same story but you look at y values,
\(\mathrm{min}(L;y)=-8\)
\(\mathrm{max}(L;y)=8\)
So range is \(R_L=[\mathrm{min}(L;y),\mathrm{max}(L;y)]=[-8,8]\).
Hope this helps :)
ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST
Answer:
160 meters
Step-by-step explanation:
Before I begin, note that distance = rate * time (or d = r * t)
To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)
So, let's set the time that Janiyah takes as x (in seconds). So, he covers
d = r * t, or 8x meters
Then, Connor's equation would be
d = r * t
d = 5x + 60 (because he got a 60 meter headstart)
Because d is the same in both equations, to solve for the amount of time they run:
8x = 5x + 60
Subtract 5x from both sides.
3x = 60
x = 20
Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x
8x = 8 * 20 = 160
So, Janiyah ran 160 meters.
Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so
5x + 60 = 160
5 * 20 + 60 = 160
100 + 60 = 160
160 = 160
True.
So, the answers are correct.
I hope this helps! Feel free to ask any questions!
Answer: 160 meters
Step-by-step explanation:
In March, Mrs. Anderson's students read 2,489 pages. In April, they read 3,052 pages. What is the total
number of pages read for the two months? Enter your answer in the box.
Answer: 5541 pages
Step-by-step explanation:
2489+3052= 5541 pgs
1 por 3) Jacksons buys a book for $12.85 and spends $5.89 for lunch. How much more did the book cost than lunch? *
Answer:
$6.96 more was the book than the lunch
Step-by-step explanation:
do cost of the book subtract the cost of the lunch forget the decimals and just subtract like normally. then at the end bring down the decimals, hope this helps
111
M
Question 8
Use substitution to determine whether each pair of expressions are equivalent.
-6x+7-2x-3 and
4(-2x + 1)
-3(x+1)-12 and
-3(x-15)
10x-4(x-6)-3 and
11+ 2(x + 5) + 4x
Equivalent
Not
Equivalent
Using substitution, the determination of equivalent expressions are is as follows:
Equivalent:
-6x+7-2x-3 and 4(-2x + 1)
10x-4(x-6)-3 and 11+ 2(x + 5) + 4x
Not Equivalent:
-3(x+1)-12 and -3(x-15).
What are equivalent expressions?Equivalent expressions are algebraic expressions that have the same value when the same value is used to substitute the variable.
To determine whether two expressions are equivalent, we can use 1 or 0:
1) -6x+7-2x-3 and 4(-2x + 1)
When x = 0
-6(0)+7-2(0)-3 = 7-3 = 4
When x = 0, 4(-2x + 1) becomes:
4(-2(0) + 1) = 4(1) = 4
Thus, -6x+7-2x-3 and 4(-2x + 1) are equivalent expressions.
2) -3(x+1)-12 and -3(x-15)
When x = 0, -3(x+1)-12 becomes:
-3(0+1)-12 = -3-12 = -15
When x = 0, -3(x-15) becomes:
-3(0-15) = -3(-15) = 45
Since -3(x+1)-12 and -3(x-15) give different results when x = 0, they are not equivalent expressions.
3) 10x-4(x-6)-3 and 11+ 2(x + 5) + 4x
When x = 0, 10x-4(x-6)-3 becomes:
10(0)-4(0-6)-3 = 24-3 = 21
When x = 0, 11+ 2(x + 5) + 4x becomes:
11+ 2(0 + 5) + 4(0) = 11+10 = 21
Since 10x-4(x-6)-3 and 11+ 2(x + 5) + 4x give the same result when x = 0, they are equivalent expressions.
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solve. 5x+20=-20
extra points help
Answer:
=
−
8
Step-by-step explanation:
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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Giving brainilest! What is the volume of the rectangular prism?
Answer:
if each box equal with 1/2 cm, so
length = 5 × 1/2 = 5/2 cmwidth = 2 × 1/2 = 1 cmheight = 3 × 1/2 = 3/2 cmVolumelength × width × height
= 5/2 × 1 × 3/2
= 15/4 cm³
= 3 3/4 cm³
Hope it helps!
help asap! Might be easy for some of you
Answer:
51
Step-by-step explanation:
(-3)^4-5(5)+6(5)÷(-3)(2)
81-25+30÷-6
81-25-5
81-30
51
(Remember order of operations-PEMDAS)
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
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Use the graph to find the intervals on which it is increasing, decreasing, or constant.
Increasing on (-∞,0); decreasing on (0,∞)
Decreasing on (-∞,∞)
Increasing on (-∞,∞)
Decreasing on (-∞,0); increasing (0,∞)
Using the graph, it is found that the correct option is:
Increasing on (-∞,0); decreasing on (0,∞).How we see if the function is increasing or decreasing from it's graph?On intervals in which the function points upwards, it is increasing.On intervals in which the function points downwards, it is decreasing.In this problem:
Until x = 0, the function points upwards, hence it is increasing on (-∞,0);From then on, it points downwards, hence it is decreasing on (0,∞).Thus, the first option is correct.You can learn more about increasing and decreasing functions at https://brainly.com/question/2387514
Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?
No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
last one cause i almost ran out of points :c
Answer:
commutative property
Step-by-step explanation:
an example is 3.4 = 4.3
Answer:
Commutative property. :)
Given m∥n, find the value of x.
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
simplify the equation
Answer:
The answer is C
Step-by-step explanation:
I say this because you have to simplify and plug in the numbers to get answer choice c
How long does it take for an investment of $6,400 to increase to $14,000 if
it is invested at 5% per year compounded continuously? Round to the
nearest tenth of a year.
An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6
Define compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods.Given that :
P = $ 6,400
Q = $ 14,000
r = 5%
Let P be the initial investment
r be the rate of interest
t be the time
Q be the increase amount
Q = P \(e^{rt} }\)
14,000 = 6,400 (\(e^{0.05t}\))
\(e^{0.05t}\) = \(\frac{14000}{6400}\)
\(e^{0.05t}\) = 2.187
Taking log on both sides , we get
0.05t = ln (2.187)
0.05t = 0.78
t = \(\frac{0.78}{0.05}\)
t ≈ 15.6
An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6
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given that sectheta - tantheta =1/4, find sectheta + tantheta
Answer:
4
Step-by-step explanation:
{sec(θ) - tan(θ) = 1/4, sec(θ) + tan(θ)} = tan(θ) + sec(θ) = 4
use subsitution
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
could i have some super super quick help? :(( (part iv is not necessary)
might be getting the hang of it but i would still like some help
i)
Factor using completing square method
\(\dashrightarrow \sf y = -x^2+16x-64\)
\(\dashrightarrow \sf y = -(x^2-16x+64)\)
\(\dashrightarrow \sf y = -(x^2-8x-8x+64)\)
\(\dashrightarrow \sf y = -(x(x-8)-8(x-8))\)
\(\dashrightarrow \sf y = -((x-8)(x-8))\)
ii)
Find zeros of a function, f(x) = 0
\(\dashrightarrow \sf -((x-8)(x-8))=0\)
\(\dashrightarrow \sf (x-8)=0, \ (x-8)=0\)
\(\dashrightarrow \sf x = 8\)
iii)
In order to find vertex use the formulae : x = -b/2a
\(\dashrightarrow \sf x = \dfrac{-(16)}{2(-1)}\)
\(\dashrightarrow \sf x = 8\)
Then find y:
\(\dashrightarrow \sf y = -(8)^2+16(8)-64\)
\(\dashrightarrow \sf y = 0\)
coordinates: (8, 0)
iv) Sketched Below:
#1
y=-x²+8x+8x-64y=-x(x+8)+8(x+8)y=(x+8)(-x+8)y=-(x-8)(x-8)#2
Zeros are the x intercepts
Here they are
8,8#3
y=-x²+16x-64y=-[x²-16x+64]y=-(x-8)²+0Vertex form of parabola:-y=a(x-h)²+k
Vertex=(h,k)=(8,0)#4
Attached
Find the solution to -36 = -6b.
b =
PLEASE FAST
What is 3x450+650?
answer
Answer:
2000
Step-by-step explanation:
3x450=1350
1350+650=2000
=2000
Answer:
BODMAS
3 x 450 = 1350
1350 + 650 = 2000
If a runner jogs 6 miles west and then jogs 3 miles north, how far is the runner from her starting point if she plans to run straight back
Answer:
she would have to run 3 mines south then 6 miles east meaning she is 9 mines away from the start.
Step-by-step explanation:
6.71 miles is the distance runner has to jogfrom her starting point if she plans to run straight back
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
If a runner jogs 6 miles west
Let the path will be AB =6miles
Then jogs 3 miles north,
BC=3 miles
We need to find how far is the runner from her starting point if she plans to run straight back
Which means we need to find AC
Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.
AC²=AB²+BC²
AC²=6²+3²
AC²=36+9
AC²=45
Take square root on both sides
AC=√45
AC=6.71
Hence, 6.71 miles is the distance runner has to run from her starting point if she plans to run straight back
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hi everyone who here is a blink or army
Answer:
I am here........
nice to meet you
please help me
23 y (2 + 4) =
Answer:
\(23y(2 + 4) = 23y(6) = 138y\)
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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a chord 7cm long is drawn in a circle of radius 3.7cm. calculate the distance of the chord from the centre of the circle
Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:
Distance from center = sqrt(r^2 - (c/2)^2)
Where r is the radius of the circle and c is the length of the chord.
In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.
So, substituting these values in the formula, we get:
Distance from center = sqrt(3.7^2 - (7/2)^2)
= sqrt(13.69 - 12.25)
= sqrt(1.44)
= 1.2 cm
Therefore, the distance of the chord from the center of the circle is 1.2 cm.
Step-by-step explanation:
An initial deposit of $50,000 is put into a savings account that has an interest rate of 5.6% compounded continuously. How much will be in the account at the end of 5 years?
Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth
Answer:
26.31 units
Step-by-step explanation:
Given: Points \((-10,12),(-6,-14)\)
To find: Distance between the given points
Solution:
Let \((x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)\)
The distance formula is used to find the distance between two points \((x_1,y_1),(x_2,y_2)\)
According to distance formula,
Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31\)
So, distance between the given points is 26.31 units