Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
\(28=\int\limits^b_1 {7x} \, dx\) and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
\(28=\frac{7x^2}{2}\) from 1 to b and applying the FTC:
\(28=\frac{7b^2}{2}-\frac{7}{2}\) Multiplying everything by 2 to get rid of the denominators gives you:
\(56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3\)
what is the y-intercept of y=2/3 x +2
Answer:
2
Step-by-step explanation:
Since the equation is in y=mx+b form, the y-intercept can easily be identified by just looking at it.
Knowing that b is the y-intercept and m is the slope. Any number in place of these variables are y-intercept and slope respectively.
That being said, the y-intercept is 2.
please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
Evaluate the expression below:
7 • (10 + 3 ) – 82
Answer:
Its 9.
Step-by-step explanation:
First you do the math inside the parenthesis (13), then your gonna multiply 7 by the numbers you got in the parenthesis (7*13), finally subtract 82 from 7*13 and you get your answer, 9.
( 10+3)-82= -69
13- 82 =69
What is the absolute value of -27 1/3
The absolute value of -27 1/3 is 27 1/3. The meaning of absolute value is the distance from the number and zero. -27 1/3 is 27 1/3 away from zero.
Answer: 27 1/3
Reason: The absolute value is the distance from that number to zero, and that's why it's that answer.
I hope this helps, and Happy Holidays! :)
Write the expression that represents the area of the rectangle shown.
Answer:
A = Length × breath
A = 3 × 7
A = a × 4
A = m × m
Help!!!!!!?!!!!!!!!!!??????????
Step-by-step explanation:
A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)
For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.
The correct options are the 3rd and 4th ones.
1) -4/3
2) -3/4
3) 10/17
4)17/10
Answer:
boom bam ba boom bam ba
Answer: -3/4
Step-by-step explanation:
The y value is decreasing by -0.75
-3.75 - 0.75 = -4.5
-4.5 - 0.75 = -5.25
-5.25 - 0.75 = -6
ect.
-0.75 in fraction form is -3/4
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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Someone help me please
Answer:
The answer to this question is due to the algebraic equality of the equation
Step-by-step explanation:
\(2(m - n) = 7 = y\)
\(y = \frac{7}{2} \)
That is, option C
6863 in expanded form
Answer:
Expanded Notation Form:
6,863 =
6,000
+ 800
+ 60
+ 3
Expanded Factors Form:
6,863 =
6 × 1,000
+ 8 × 100
+ 6 × 10
+ 3 × 1
Expanded Exponential Form:
6,863 =
6 × 10^3
+ 8 × 10^2
+ 6 × 10^1
+ 3 × 10^0
Answer:
Six thousand eight hundred sixty three
Step-by-step explanation:
a carpenter has 6 boards that are each 7/8 yard long. how many 3/4 yard sections of board can he construct
The number of sections of board that he can construct will be equal to 7.
We are given that:
A carpenter has 6 boards.
Length of each board = 7 / 8 yard long
Now, we will use multiplication.
Total length of cardboards available = 7 / 8 × 6 yards
Total length = 42 / 8 yards
Total length = 21 / 4 yards.
Now, 3/4 yard sections of board that he can construct will be:
Number of sections of board = 21 / 4 ÷ 3 / 4
Number of sections of board = 21 / 3
Number of sections of board = 7
Therefore, the number of sections of board that he can construct will be equal to 7.
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Help plssss triangle congruence
Answer: None of these answers are correct.
Step-by-step explanation:
The triangles are congruent, meaning that by CPCTC, \(\angle BAC \cong \angle DE F\).
This means that as angles in a triangle add to 180 degrees,
\(60+45+x=180\\75+x=180\\x=105\)
What is the area of triangle ABC? pls help i need to pass this test!!
Answer:
Step-by-step explanation:
What is the probability that either event will occur? 17 A 29 B 14 P(A or B)
The probability that either event A or B will occur is 43/60
Getting probability value :Using the parameters given
n(A) = 29
n(B) = 14
Total number of events = 29+17+14 = 60
The probability of each event :
P(A) = 29/60
P(B) = 14/60
P(A or B ) = P(A) + P(B)
P(A or B ) = 29/60 + 14/60
P(A or B ) = 43/60
Therefore, the probability of A or B is 43/60
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PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
Answer:
1) B
2) B
Step-by-step explanation:
1) funtion 1 slope is 4
function 2 we use y2-y1/x2-x1
10-6/3-1
4/2
2 is the slope of function 2
so function 1 is bigger
1) only b is correct because it lands on the same line of y=x
hopes this helps please mark brainliest
PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify Expressions:
\(\sqrt{(3-\sqrt{19} )^{2} }\)
Answer:
1.358899 or 3-\sqrt{19}
Step-by-step explanation:
either or
what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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helppppppppp plssssssssss
A. Is the answer of this question
For each boat he sells, Mick earns $149 in addition to 2% of the purchase price of the boat
as commission. How much will Mick earn for a boat that was purchased at $65,000?
Answer:
c = 149 + 0.02p
Step-by-step explanation:
1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
at 4°. Can Brooke walk out to bring the boat back without getting water over the
tops of her hip boots which are 1 m tall? Explain your reasoning.
2. are the engineer who designed a new branch for the Mountain Railroad
Company. You sent your plans calling for 100 km of track up Bixby Mountain
taking trains 99 km east of the city of Bixby, to the City Council for approval.
But before the Council got around to looking at your plans, they passed a
regulation that no railroad tracks could go up their mountain at an angle of more
than 8°. Will your plans be approved? Why or why not?
3. The residents of Quietville, a little town 9 km from the San Francisco Airport,
insist that any plane flying over their town disturbs them if it is lower than 3 km.
Will a plane that took off at a 21° angle disturb them? Why?
4. You are an air pollution inspector, checking that factories in your city have
chimneys at least 65 m tall. Standing 50 m from the Ore Smelting Company’s
chimney, you find the angle from the ground to the chimney top is 51°. Can the
company use that chimney legally? Explain.
6. River City is offering a $3 million contract to build a bridge between points A and
C on opposite sides of City River. Along the side of the river that makes a right
angle with the line of the bridge at point C, a surveyor walked 72 m to point B
where she measured the 55° angle form B to A. Long Company will build the
bridge for $3 million if it is not more than 103 m from point A to point C. Short
Company agrees to build it if it is no more the 100 m. Which contracting firm
will be awarded the contract? Why?
7. An elderly woman is trapped 17 m up in her burning home. Can a fireman reach
her on his 26 m ladder if it has to make a 43° angle in order to clear the woman’s
greenhouse under her window? Explain your reasoning.
8. A ski lift 1000 m long goes at a 29° angle up Mt. Gentleslope. Does the lift take
skiers all of the way up to the top of the mountain where there is a snack bar at
the 500 m elevation? Explain your reasoning.
9. Mr. Johnson is a jet pilot who just moved with his family to Suburbia, 26 km
from Toledo Airport. His seven-year-old son, Eric, would like to see his father’s
plane as it flies over their new home for the first time today, but there is a layer of
clouds 5 km above the house. Will Eric be able to see his Dad’s plane if it takes
off at a 9° angle? Explain.
10.You are the cost control expert for an engineering firm designing a giant
television tower having several metal braces, each built in 21 m from the base at a
73° angle with the ground. Part of your job is to decide which standard length of
metal brace wastes less metal: the brace that comes 71 m long, or the one that is
73 m long. What is your decision?
The correct responses found using trigonometric ratios are as follows;
Brooke's cannot bring the boat back without getting water over her boots.The plan will not be approvedThe plane will not disturbThe company can not use the chimney legallyThe Long company will build the bridgeThe fireman can reach her.The lift does not take the skiers up to the bar.Eric will be able to see his Dad's plane.The 73 m. braceHow can trigonometric ratios be used to find the right responses?1. The depth of the water = 15 × tan(4°) = 1.049 m
The height of Brooke's boot = 1 m
Therefore;
Brooke's cannot bring the boat back without getting water over her boots.2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°
Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;
The plan will not be approved.3. Height reached by the plane = 9 × tan(21°) = 3.455
Therefore;
The plane will not disturb.4. Height of the chimney at the factory = 50 × tan(51°) = 61.745
The minimum chimney height = 65 m.
Therefore;
The company can not use the chimney legally.6. Length of the bridge = 72 × tan(55°) ≈ 102.83
Therefore;
The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7
Therefore;
The fireman can reach her.8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8
Therefore;
The lift does not take the skiers up to the bar.9. Height reached by plane = 26 × tan(9°) ≈ 4.12
The plane flies under the cloud therefore;
Eric will be able to see his Dad's plane.10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83
Therefore;
The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.Learn more about trigonometric ratios here:
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8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
*links are reported*
Answer:
938.29
Step-by-step explanation:
Answer: 234.57
Step-by-step explanation:
V=πr^2 h/3
V=π(4)^2 14/3
V=234.57
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
Subtract -13xy from -5xy so
-5xy -(-13xy)=?
Answer:
8xy
Step-by-step explanation:
Subtract -13xy from -5xy
-5xy - (-13xy) =
-5xy + 13xy =
8xy
good luck, i hope this helps:)
What is the value of 9 in 365,791
Answer:
90
Step-by-step explanation:
Since 9 is in the 10s place it'd be valued at 90
I assume that's what this is asking, if not please correct me
Hope this helps
Answer:
Tens
Step-by-step explanation:
Its the tens because, its the second number next to the 1.
PLEASE HELP Which statement completes step 5 of the proof?
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 ?
Step 6 The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Answer:
Segment J’K lies on line g and has a slope of -1/3
Step-by-step explanation:
Im taking the test but I need step 4 but step 5 is filled in for me
Answer:
In case you get the same question
Step-by-step explanation:
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
xxx yyy
666 222
121212 444
303030 101010
(Choice B)
B
xxx yyy
333 1.81.81, point, 8
777 4.24.24, point, 2
999 5.45.45, point, 4
(Choice C, Checked)
C
xxx yyy
444 1.21.21, point, 2
888 2.42.42, point, 4
131313 3.93.9
Answer:
The answer is C
Step-by-step explanation:
i also use khan
Answer:
table C
Step-by-step explanation:
each one is multiplied by .30
:)
What is the slope of function 3x-5y=17
Answer:
y=5/3x-3.4
Step-by-step explanation:
slope is 5/3
Answer:
\(\frac{3}{5}\)
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , "m" is the slope
3x - 5y = 17
- 5y = - 3x + 17
y = \(\frac{3}{5}\) x - \(\frac{17}{5}\)
m = \(\frac{3}{5}\)
6. 10 X 10 X 10
exponent form:
word form:
Answer:
the exponent is 10 ^ 3 and the word form is ten times ten times ten
Step-by-step explanation:
if you need more help just ask