Answer:
bh
6, 17
102
51
Step-by-step explanation:
Answer:
1/2 (bh)
1/2(17)(6)
51
Evaluate the expression 9 divided {17-8}
1 because 17-8=9, and 9/9= 1
20₁
R
Which two triangles are similar? The triangles are not
drawn to scale.
S
6
4.8
3.6
5.5
B
W
6.9
4.1
Y
A ATUVAWXY
AQRS-AWXY
AQRSATUV
T
1.8
2.4
U
The two similar triangles in this problem are given by:
C. QRS and TUV
What are similar triangles?
Similar triangles share these two features:
Hence, the similar triangles are QRS and TUV, as the side lengths proportions are given as follows:
3/6 = 2.4/4.8 = 1.8/3.6.
Hence option C is correct.
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PLS HELP ME WITH THIS QUESTION PLS SHOW YOUR WORKING OUT
The maximum volume of the cylinder is approximately 1257 cubic centimeters.
What is the maximum volume of the cylinder?The volume V of a right circular cylinder with radius r and height h is given by:
V = πr²h
Substituting the given expressions for the radius and height of the cylinder, we get:
V = πx²(800/πx - x)
Simplifying the expression, we get:
V = 800x - πx³
To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:
dV/dx = 800 - 3πx² = 0
3πx² = 800
x² = 800/3π
x ≈ 6.43
Substituting this value of x back into the expression for V, we get:
V ≈ 1257
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If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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Please nswer this question.
Answer:
4.75 megabytes per second
Step-by-step explanation:
500-25 = 475
475 / 100 = 4.75
6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
Given: g(x)=√x-4 and h(x) = 2x - 8.
What is g(h(10))?
O 2√2
√6
√6-8
02√6-8
The value of g(h(10)) is 2√2. the correct option is A.
Given that the functions are g(x)=√x-4 and h(x)=2x-8.
A function is defined as the relationship between a set of inputs where each input has an output.
Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.
h(10)=2(10)-8
h(10)=20-8
h(10)=12
Now, we will find g(h(10)) where h(10)=12.
By substituting h(10)=12 in g(h(10)), we get
g(h(10))=g(12).
Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get
g(12)=√(12-4)
g(12)=√8
g(12)=2√2
Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.
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In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.
Answer:
Therefore, the angle ∠CDA is 58°.
Step-by-step explanation:
∠CDA = 58°
In the given figure, let's consider the angle ∠CDA as x.
Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.
In triangle CAD, the sum of angles is 180°. So, we have:
∠CAD + ∠CDA + ∠CAB = 180°
Substituting the known values:
32° + x + 90° = 180°
Combining like terms:
x + 122° = 180°
Subtracting 122° from both sides:
x = 180° - 122°
x = 58°
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
please answer thank you
Answer:
Option A
Step-by-step explanation:
Given function is,
f(x) = x² + 3x + 5
We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.
f(a + h) = (a + h)² + 3(a + h) + 5
= a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]
= a² + 2ah + h² + 3a + 3h + 5
Therefore, Option A will be the answer.
2.266 Predicting Highway MPG Use the data in Cars2020 to fit a regression line
to predict the highway gas mileage (HwyMPG) of car models using the mileage rating
for city driving (CityMPG).
a. Write down the prediction equation and interpret the slope in the context of this
data situation.
b. The Toyota Corolla is rated at 23 mpg in the city and 40 mpg on the highway. Find
the residual for the Corolla for this fitted model.
Answer:
a. intercept: 6.69
slope: 1.69
b. 5 something
Step-by-step explanation:
20 points!!! pls hurry!!! I need the CORRECT answer in three hours or less!!! What is the slope of this line? A. -1/3 B. -2/3 C. 1/3 D.2/3
Answer:
D
Step-by-step explanation:
RISE/RUN = slope
This slope will be POSITIVE because it rises in quadrant 1.
Rise=2, run=3
Slope= 2/3
Hope that helps
Write 26/100 as a product of a whole number and a unit fraction
Answer:
13/50
Step-by-step explanation:
HW Score: 77 Score: 0 of 1 pt 15 of 18 (15 complete) v X 7.3.43 On a world globe, the distance between Chy A and Cycles that are actually 10.730 kilometers apart, is 132 inches. The actual distance between City C and City Dis 1500 kilometers How far apart are this globe? chy C and Cny D are inches apart on this giebe (Type an integer ordenalpadd to the manded) More Enter you are All parts showing Type here to search
13.2 inches is. 10,730
1500 km , how far apart are
Find X= (1500/10,730) = 150/1073= 0.14
then multiply by 13.2
13.2X = 1.85
Then ,in a globe , distance between C and D cities is 1.85 inches
Answer is 1.85 inches
y = 7x + 3
Find the x and y intercepts of the line
Answer:
The x-intercept of the line is \(-\frac{3}{7}\)
The y-intercept of the line is 3
Step-by-step explanation:
If the equation of a line is y = m x + b, then
The x- intercept is the value x at y = 0, (that means, the line intersect the x-axis at point (x, 0)The y-intercept is the value of y at x = 0, (that means, the line intersect the y-axis at point (0, y)Let us use these facts to solve the question
∵ y = 7x + 3
→ Substitute y by 0 to find the x-intercept
∵ y = 0
∴ 0 = 7x + 3
→ Subtract 3 from both sides
∵ 0 - 3 = 7x + 3 - 3
∴ -3 = 7x
→ Divide both sides by 7 to find x
∵ \(-\frac{3}{7}\) = \(\frac{7x}{7}\)
∴ \(-\frac{3}{7}\) = x
∴ The x-intercept of the line is \(-\frac{3}{7}\)
∵ y = 7x + 3
→ Substitute x by 0 to find the y-intercept
∵ x = 0
∴ y = 7(0) + 3
∴ y = 0 + 3
∴ y = 3
∴ The y-intercept of the line is 3
If a data set is negatively skewed, which would be the best measure of spread? Select one:
Interquartile Range
Standard Deviation
Range
Answer:
Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.
If it’s 11:50 amwhat timewillitbetwohoursfromnow
Answer:
It will be 1:50
Step-by-step explanation:
Answer:
11:50 + 2 hr. = 1:50 or 13:50 Military/European time
Step-by-step explanation:
(x^2-x-12)/(x+5)=x-6
There is no value of x that solves the proportion (x^2-x-12)/(x+5) = x-6.
How to solve the proportion?The proportion for this problem is defined by the equation presented as follows:
(x^2-x-12)/(x+5) = x-6.
As the measures are proportional, we can apply cross multiplication, hence:
x² - x - 12 = (x + 5)(x - 6)
x² - x - 12 = x² - x - 30
-12 = -30.
-12 = -30 is a false statement, hence there is no value of x which can solve the proportion (x^2-x-12)/(x+5)=x-6 presented in this problem.
Missing InformationThe problem asks for the value of x that solves the proportion (x^2-x-12)/(x+5) = x-6.
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A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
The San Francisco Giants won 39 more games than the St. Louis
Cardinals. The Giants won 101 games. How many games did the
Cardinals win?
Let c = number of games the Cardinals won.
(A) C - 39 = 101
(B) C + 39 = 101
(C) 101 + 39
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
2. The polynomial 3x3 – 2x2 – 12x + 8 is denoted by f(x).
(a) Use factor theorem to show that (x + 2) is a factor of f(x).
Answer:
see belowStep-by-step explanation:
to understand thisyou need to know about:factor theoremPEMDASgiven:f(x)=3x³-2x²-12x+8-a×-b=ab-a×b=-aba²-b²=(a+b)(a-b)to do:use factor theorem to show that (x+2) is a factor of f(x)tips and formulas:When f(c)=0 then x−c is a factor of f(x)let's solve:according to the question
x+2=0
x=-2
\( \sf substitute \: the \: value \: of \: x \: : \\ \sf 3 {( - 2)}^{3} - 2( { - 2)}^{2} - 12( - 2) + 8\)\( \sf simplify \: exponets : \\ 3( - 8) - 2(4) - 12( - 2) + 8\)\( \sf \: multiply : \\ \tt - 24 - 8 + 24 + 8\)\( \sf simplify : \\ \sf- 32 + 32 \\ \sf0\)therefore
we have proven that x+2 is a factor of 3x³-2x²-12x+8
let's factorise 3x³-2x²-12x+8
factor out x²: x²(3x-2)-12x+8factor out -4: x²(3x-2)-4(3x-2)group: (x²-4)(3x-2)use a²-b² = (a+b)(a-b): (x+2)(x-2)(3x-2)and
we are done
By Factor theorem (x + 2) is a factor of f (x) as, f (-2) = 0
Here,
The polynomial is,
\(f(x) = 3x^{3} -2x^{2} -12x+8\)
We have to use factor formula to show (x + 2) is a factor of f (x).
What is Factor theorem?
f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then,
( x - a ) is a factor of f (x), if f (a) = 0.
Now,
The polynomial is,
\(f(x) = 3x^{3} -2x^{2} -12x+8\)
We use factor theorem as;
We have to check (x + 2) is a factor of f (x) by using factor theorem as;
If (x + 2) is a factor of f (x) then,
f ( -2 ) = 0
So, The polynomial is,
\(f(x) = 3x^{3} -2x^{2} -12x+8\)
\(f (-2) = 3 * (-2*-2*-2 )- 2*(-2*-2)- 12 *(-2) + 8\)
\(f (-2) = 3 *(-8) -2*(4) +24 +8\)
\(f (-2) = -24 -8 +24+8\\\\f(-2) = 0\)
Therefore, By factor theorem (x + 2) is a factor of f (x).
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Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Can someone please give me the answer to this question?!! ASAP
Answer:
152°
Step-by-step explanation:
<ext. + <int. = 180°
180-92= 88°
180-73= 107°
180-63= 117°
180-104= 76°
Sum of angles in an irregular polygon; (n-2)×180
where n is the number of sides
The polygon has 5 sides,
(5-2) × 180= 3 × 180
= 540°
88+107+117+76+x=540
388+x=540
x= 540-388
x= 152°
Can someone please help me with this quick
Answer:
Minimum = -1
Maximum = 3
Step-by-step explanation:
∛-10+9 = ∛-1 = -1
∛18+9 = ∛27 = 3
according to the graph above the slope of line A is
Answer:
Step-by-step explanation:
Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
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1.
Solve for x. Round to one
decimal place (nearest
tenth).
X
48°
1
15
The length of the hypotenuse or the value of 'x' is 60.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
From the given diagram respect to the reference angle of 37°,
Hypotenuse is 'x' and adjacent is 48.
And we know, cos = adjacent/hypotenuse.
Therefore, cos37° = 48/x.
x = 48/0.8.
x = 60.
Q. A right-angle triangle is shown, Find the value of x.
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Please help will give brainliest
Complete the equation describing how
x and y are related.
ws
х
-2
-1
0
1
2
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = [? ]x + [ ]
Enter the answer that belongs in [?].
the answer is 6.5
Step-by-step explanation: