Answer: 3 ft
Step-by-step explanation:
Hi how to do quetion3?
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) ≠
Answer:
[tex](a,b) \ne (7,-9)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = ax + b[/tex]
[tex]Interval = [0,4][/tex]
[tex]Area = 16[/tex]
Required
[tex]a, b \ne[/tex]
The area is calculated as:
[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]
So, we have:
[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]
Integrate
[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]
Expand
[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]
[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]
[tex]Area = 8a+ 4b[/tex]
This gives:
[tex]8a + 4b = 16[/tex]
Divide through by 4
[tex]2a + b = 4[/tex]
From the list of options, the possible values of a and b are:
[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]
[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]
[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]
[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]
The odd one is:
[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]
Hence:
[tex](a,b) \ne (7,-9)[/tex]
i need an ace to help me with math
Answer:
ace
Step-by-step explanation:
Q1: Which transformation maps trapezoid 1 to trapezoid 2?
Q2: Which transformation could not map trapezoid 1 to trapezoid 8?
Q3: Which transformation maps trapezoid 2 to trapezoid 6?
options:
reflection
rotation
translation
Answer:
Rotation
Step-by-step explanation:
Rotation is the only one where you wouldnt be able to have the same points on the graph. Reflection and Translation can both place trapazoid 1 in the place of trapizoid 8.
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
An automobile travels 471 miles in 8 hours.
What is the average speed of the automobile to the nearest mile per hour?
A. 45 mph
B. 50 mph
C. 55 mph
D. 60 mph
O E 65 mph
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
square root 33 units
square root 65 units
33 units
65 units
By applying Pythagoras theorem,we get
(hypotenuse)^2=(base)^2+(perpendicular)^2
=>(h)^2=(7)^2+(4)^2
=>(h)^2=49+16
=>(h)^2=65
=>h=√65
Therefore, option B is correct,i.e.,√65
Answer:
Square root of 65 units
Step-by-step explanation:
This is the correct answer
Define Sustainable development.
Answer:
economic development that is conducted without depletion of natural resources.
Step-by-step explanation:
Simplify:
6(2x2 – 5) = [?]
X=-3
Answer:
78
Step-by-step explanation:
Substitute x = - 3 into the expression
6(2(- 3)² - 5)
= 6(2(9) - 5)
= 6(18 - 5)
= 6(13)
= 78
Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?
Group of answer choices
11 in
6 in
8.75 in
8 in
Answer:
11 inches is your answer sorry if i am wrong i hope this helps
Step-by-step explanation:
Reema bought pencils for school in August, she gave them to her friends. She used
of what she had in the first month of cheat She
now had 3 pencils left
How many pencils did she buy in August?
Answer:
Reema bought 24 pencils in august.
Step-by-step explanation:
Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?
Answer:
75
Step-by-step explanation:
Let x = number thought of
(x + 2) / 7 = 11
multiply both sides of the equation by 7
11 x 7 = x+ 2
collect like terms
77 - 2 = x
x = 75
how many students were surveyed, how many students ate lunch, how many students ate lunch and breakfast, What percent of the students ate lunch and skipped breakfast, What percent of the students ate breakfast. please help
Answer:
Look its easy 75% when to eat lunch and the 25% skipped because if they were a large amount of them it must be 75% ur welcome
Step-by-step explanation:
Which kind of chart/graph should be used
to represent a turtle's movement over the
course of an hour?
A. bar graph
B. pie chart
C. line graph
D. pictograph
Which number line represents the inequality? 34>x
Answer:
op 2
Step-by-step explanation:
the Answer is b
hope this helps
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
What is the equation of the line with a slope of 1/4 and y-intercept of -2?
Answer:
y=1/4x+2
Step-by-step explanation:
The formula is y=mx+b, where m is the slope and b is the y-intercept
[tex]\sqrt{56x^2}[/tex]
Answer:
2( the thingy and inside) 14x
On Friday, a local hamburger shop sold a combined total 312 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
total number of hamburger =312
total number of cheeseburger=2x312
=624
Step-by-step explanation:
the answer is 624
20 and 1/2 x 10 1/4 x 12
Answer:
2521.5
Step-by-step explanation:
20.5 · 10.25 · 12
2521.5
a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth
Answer:
44
Step-by-step explanation:
First, let's sum up the ratio.
Sum the ratios = 6 + 2 + 3 = 11
We can make y the total number of boots sold together last month
If 24 pairs of boots were sold, then the equation would be
6/11 × y = 24
Cross multiply
6 × y = 24 × 11
6y = 264
y = 44
Therefore, total number of boots sold altogether last month were 44
A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
36.80
Step-by-step explanation:
261 x .141 = 36.801
Factor the Expression Completely: -14a+56b+84c-28a+42
Answer:
14(−3a+4b+6c+3) is the answer
Billy sells hot apple cider at the Hendersonville Apple Festival each year. For a batch of cider that makes 25 servings, Billy uses 2 tablespoons of cinnamon.
How much cinnamon is in each serving of cider?
Answer:
2/25
we need to divide the amount of cinnamon with in the 25 servings to see how much each serving contains
1) distribute 2 tbs into 25 serving
2)equation will be 2/25
3)answer should be 2/25
Step-by-step explanation:
Answer:
2/25 tablespoons
Hope this helps:)
What is the surface area of the pyramid?
Answer:
56 inches squared
Step-by-step explanation:
(4x6) ÷ 2 = 12
12 x 4 = 48
4 x 4 = 16
48 + 16 = 56
3+(-4)-8(-1) can you help me
Answer:
7
Step-by-step explanation:
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answer: https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.hide_answers.1.html
Step-by-step explanation:
here use this link above to answer your question
help me with this math question please I'm giving away brainliests
Answer:
Step-by-step explanation:
Given function is,
[tex]f(x)=\frac{2x^2+6x}{-4x^2+8x}[/tex]
[tex]=\frac{2x(x+3)}{-4x(x-2)}[/tex]
This function is not defined at "x(x - 2) = 0"
Therefore, for the values of x = 0 and 2, given function is not defined.
Vertical asymptote → x = 2 [Denominator = 0]
For Horizontal asymptote → [tex][\frac{2x^2}{-4x^2} =-\frac{1}{2}][/tex]
Therefore, horizontal asymptote → y = [tex]-\frac{1}{2}[/tex]
x-intercept,
For f(x) = 0,
Numerator of the function = 0
2x² + 6x = 0
2x(x + 3) = 0
x = -3
Therefore, x - intercept → (-3, 0)
For y-intercept,
x = 0
f(0) = 0
Therefore, graph has no y-intercept.
For holes on the graph,
Since, function is not defined at x = 0,
f(x) = [tex]\frac{(x+3)}{-2(x-2)}[/tex]
f(0) = [tex]\frac{(0+3)}{-2(0-2)}[/tex]
= [tex]\frac{3}{4}[/tex]
Therefore, hole on the graph → [tex](0, \frac{3}{4})[/tex]
Find the area and circumference of the circle.
B
4. Area =
5. Circumference
Answer:
Area: 200.96
Circumference: 50.24
Step-by-step explanation:
We know r (radius)=8
A=πr^2
A=π8^2
A=64π or 200.96
C=2πr
C=2π(8)
C=16π or 50.24
what os the quotient of -8x^6/4x^-3
Answer:
-2x^9
Step-by-step explanation:
-2x^6-(-3) = -2x^9