Answer:
d. 94.25 in²
Step-by-step explanation:
The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:
semicircle: A = (π/2)r²
triangle: A = 1/2bh
__
semicircleThe semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...
A = (3.14/2)(5 in)² = 39.25 in²
triangleThe area of the triangle with base 11 in and height 10 in is ...
A = 1/2bh
A = 1/2(11 in)(10 in) = 55 in²
total areaThe area of the figure is the sum of the areas of the semicircle and triangle, so is ...
figure area = (39.25 in²) +(55 in²)
figure area = 94.25 in²
Write an equation in standard form of the line
With slope 2/5 and going through (-3,6).
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]
[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]
The first time the United States enacted a temporary income tax was ?
On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.
a=-2(negative 2) b=3 and c=5 what is 3ac-a+2b.With explanation
Step-by-step explanation:
a = -2
b = 3
c = 5
Question:[tex]3ac - a + 2b[/tex]
= Solution,
= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3
here ... ( + ) × ( - ) = ( - )
= - 6 × 5 - ( - 2 ) + 2 × 3
here .... ( - ) × ( - ) = ( + )
= - 6 × 5 + 2 + 2 × 3
= - 30 + 2 + 6
= - 30 + 8
here the ( - ) have greater variable so...
= - 22
hence - 22 is the answer . ....
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Answer:
A. Emperor is the main character
Step-by-step explanation:
I've read it before
Each horse ride lasts 5 minutes with one minute pause in between for the next rider to get in the saddle . After every hour and a half the horses are given a rest . How many children can get an opportunity to ride a horse before they rest
Answer:
15 rides for each horse
Step-by-step explanation:
60 minutes in an hour
90 minutes in an hour and a half
6 minutes per ride (counting the re-saddle time )
90 min / 6 min/ride = 15 rides for each horse
Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
Answer:
When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).
In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.
E' = (-8,6) ----> (6,8)
F' = (-8, 10) ----> (10,8)
G' = (-3, 10) ----> (10,3)
H' = (-3, 6) ----> (6,3)
[tex]x^{2} +x = 12[/tex]
answer ?
Answer:
x = 4 and x = -3
Step-by-step explanation:
⇒ x² + x = 12
⇒ x² + x - 12 = 0
⇒ x² + 3x - 4x - 12 = 0
⇒ x(x + 3) - 4(x + 3) = 0
⇒ (x - 4)(x + 3) = 0
⇒ x = 4 and x = -3
Hey there!
x^2 + x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + x - 12 = 12 - 12
SIMPLIFY IT!
x^2 + x - 12 = 0
SET the FACTORS to EQUAL to 0
x - 3 = 0 OR x + 4 = 0
SIMPLIFY IT!
x = 3 or x = -4
Therefore, the answer is:
x = 3 or x = -4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is 1,391 rounded to the nearest hundred
Answer:
1400
Step-by-step explanation:
i hope this helps u
Answer:
1,400
Step-by-step explanation:
It's closer to 400 than 300
Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)
Answer:
left one on 3rd row
Step-by-step explanation:
using the rules of exponents/ radicals
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
given
[tex]12^{-\frac{4}{7} }[/tex]
= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]
= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]
Bear weight loss during hibernation is extreme. Male black bears will typically drop between 17 to 29 percent of their body weight. Let x represent the percent of body weight loss for a male black bear. Suppose that clic follows a uniform distribution. Find the probability that the male will lose between 19.41 and 23.74 percent of their body weight.
Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.
The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:
[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]
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what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Replace x with -2 and y with 4:-
[tex]\sf{7(-2)-3(4)-1}[/tex]
On simplification,
[tex]\sf{-14-12-1}[/tex]
On further simplification,
[tex]\sf{-27}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
convert 29/6 and 16/7 to fraction with denominator 42
answer is given below
29/6 = 203/42
16/7 = 96/42
to make the denominator 42 we use common tables for this just multiplying .
Answer:
the fractions are 203/42 and 96/42
Step-by-step explanation:
[tex]for \: \frac{29}{6} \\ \: multply \: the \: numerator \: and \: denominator \: by \: 7 \\ \frac{29}{6} \times \frac{7}{7} = \frac{203}{42} \\ for \: \frac{16}{7} also \: multiply \: the \: numerator \\ and \: denominatorby \: 6 \\ = \frac{16}{7} \times \frac{6}{6} = \frac{96}{42} [/tex]
Find the distance between the points (3, –8) and (0, –9).
Answer:
B. 3.16
Step-by-step explanation:
1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]
2) if A(3;-8) and B(0;-9), then according to the formula above:
[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]
d≈3.16
Is 1.05 greater then 8.5?
Answer:
no
Step-by-step explanation:
Answer:
No, it is not.
Step-by-step explanation:
because 8.5 is the same as 8.50.
Hope this helps!
The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.
They are 2 and 3, since 2 + 3 = 5
Let x be the smaller number. Then
x + (x + 1) = 5
2x + 1 = 5
2x = 4
x = 2
x + 1 = 3
Determine a series of
ABCDE onto polygon A'B'C'D'E'?
12
transformations that would map polygon
2 3 4 5 6 7 8 9 10 11 12
-12-11-10-9-8-7
C
В'
O
B
A'
O
M9848945
11
10
4321
A
6.-5 -4 -3 -2 -1
D'
7-1
Á Ẻ ồ ó có ý ới ơi đã có có n
E
-9
-10
-11
-12
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'
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a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
Answer:
19.8 rounded to 20m
Step-by-step explanation:
reason;
Area=1/2 x perimeter x apothem
27=1/2 x p x 2.726
Divide both sides by 1/2
54= p x 2.726
Now divide both sides by 2.726 to isolate p
Answer p=19.8
1. Use the following table to answer the questions: (Note: f(x) is a continuous function)
[x] -2,3,4,8
[f(x)] 7, -2, 3, 6
[f'(x)]-4.5,-0.25,1,8
a. If g(x)=f(x), is g(x) a function?
b. Find f(g(4)).
c. Write the equation of the line tangent to g at x = -2.
PLEASE SEE PHOTO! Can you explain why my answers were wrong and can you find the correct answers to all of them?
1. a. No, g(x) is not a function because f(x) is not invertible. This is because it's not a monotonic function, which we gather from the table. On the interval [-2, 3], f(x) decreases from 7 to -2, but on the following interval [3, 4], f(x) increases to 3 and becomes positive once more. At best, f(x) is locally invertible.
1. b. This is impossible to determine... We can't know g(4) without knowing for which x we have f(x) = 4, but that's not included in the table.
1. c. The slope of the tangent line to f(x) at x = -2 is f'(-2) = -4.5. Then the equation of the tangent to f(x) at x = -2 - which means it passes through the point (-2, f(-2)) = (-2, 7) - is
y - 7 = -4.5 (x - (-2)) ⇒ y = -4.5x + 16
2. Given f(x) = arctan(3x) - ln(1 + 9x²), compute the derivative:
f'(x) = 3/(1 + (3x)²) - 18x/(1 + 9x²)
f'(x) = (3 - 18x)/(1 + 9x²)
Find the critical points of f(x), where f'(x) = 0 or doesn't exist. Only the first case can happen since the denominator is never zero. So
3 - 18x = 0 ⇒ x = 1/6
is the only critical point.
Also compute the second derivative, then check its sign at the critical point:
f''(x) = (-18 - 54x + 162x²) / (1 + 9x²)²
f''(1/6) = -72/5 < 0
The negative sign indicates that x = 1/6 is the site of a local maximum of
f(1/6) = arctan(1/2) - ln(5/4) ≈ 0.241
Also check the values of f(x) at the endpoints of the interval [0, 1]:
f(0) = 0
f(1) = arctan(3) - ln(10) ≈ -1.054
So, the maximum value of f(x) on [0, 1] is f(1/6) ≈ 0.241.
Can someone help with this? I've been stuck on this for a while
Step-by-step explanation:
how is that math ?
anyway,
*♡ = O
●* = H
arrow up and filed triangle = E
arrow down and 3/4 circle = R
anyone understand this?
Transformation of quadratic functions
Answer:
g(x) = a(x − h)2 + k, where a ≠ 0.
Step-by-step explanation:
The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.
Whats the volume of the solid?
A. 8
B 12
c 32
d. 64
I WONT BREATHE UNTIL U ANSWER ME
The volume of the solid will be equal to V=64 Cubic inches.
What is volume?The space occupied by any solid object in the three-dimension is called as the volume.
Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.
So the volume of one cube will be:
V=a³=2³=8 cubic inches
Since total number of the cubes are 8 so total volume will be:
V=8x8=64 cubic inches
hence the total volume will be equal to 64 cubic inches`
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Which of the following is a unit fraction? 3/8 ,15/16 ,4/9,1/8
Answer:
its b
Step-by-step explanation:
ab equal 76 because 4
Can someone help me with this?
- Thankyou in advance
need the answer asap
Answer:
The price for ounce is: $0.25 and she bought 16 ounces of straberris
Step-by-step explanation:
If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25
please help me do this mathematics question..experts .
The partial differential expression is equal to the expression 30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²) and the total differential formula is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to apply partial derivatives and total differentials
In the first part of this question we must apply the concept of partial derivatives to find the form of the entire expression, whose variables are two. Partial differentiation is a generalization of the ordinary differentiation:
[tex]\frac{\partial f}{\partial x} = 6\cdot x^{5}+12\cdot x^{3}\cdot y^{4}+y^{6}[/tex] (1)
[tex]\frac{\partial^{2} f}{\partial x^{2}} = 30\cdot x^{4}+36\cdot x^{2}\cdot y^{4}[/tex] (2)
[tex]\frac{\partial^{2} f}{\partial x \,\partial y} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex] (3)
[tex]\frac{\partial f}{\partial y} = 12\cdot x^{4}\cdot y^{3} +6\cdot x \cdot y^{5}[/tex] (4)
[tex]\frac{\partial^{2} f}{\partial y^{2}} = 36\cdot x^{4}\cdot y^{2} + 30\cdot x\cdot y^{4}[/tex] (5)
[tex]\frac{\partial f}{\partial y \,\partial x} = 48\cdot x^{3}\cdot y^{3}+6\cdot y^{5}[/tex] (6)
Then, the entire expression is:
30 · x⁴ + 36 · x² · y⁴ + 36 · x⁴ · y² + 30 · x · y⁴
30 · (x⁴ + x · y⁴) + 36 · (x² · y⁴ + x⁴ · y²)
30 · x · (x³ + y⁴) + 36 · x² · y² · (y² + x²)
In the second part we must determine the total differential of z with respect to two variables:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (7)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the total differential of the function is:
Δz = 3 · cos (x³ + y³) · x² · (0.3) + 3 · cos (x³ + y³) · y² · (0.2)
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
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Amy read 25 minutes each day. She has read 14 minutes. How many more
minutes does she need to read?
FREE EASY POINTS, JUST GIVE THE RIGHT ANSWER PLSS!!
Answer:
11 minutes
Step-by-step explanation:
25 - 14 = 11
Solve the radical equation.
x + 4 =√x + 10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
ONeither -1 nor -6 is a true solution to the equation.
The solution -1 is an extraneous solution
Neither -1 nor -6 is a true solution to the equation.
Option D is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation x + 4 = √(x + 10), we need to isolate the radical term on one side of the equation and then square both sides to eliminate the radical.
Here are the steps:
x + 4 = √(x + 10)
Subtract 4 from both sides:
x = √(x + 10) - 4
Square both sides:
x² = (√(x + 10) - 4)²
Expand the right side using the formula (a - b)^2 = a^2 - 2ab + b^2:
x² = x + 6 - 8√(x + 10)
Move all terms to the left side:
x² - x - 6 + 8√(x + 10) = 0
To solve this equation, we can use a substitution u = √(x + 10):
u = √(x + 10)
Square both sides:
u² = x + 10
Substitute into the original equation:
(u² - 10) + 4 = u
Simplify:
u² - u - 6 = 0
Factor:
(u - 3)(u + 2) = 0
So u = 3 or u = -2.
But u = -2 leads to a negative value under the square root in the substitution u = √(x + 10), which is not allowed.
Therefore, we only consider u = 3, which gives:
√(x + 10) = 3
Square both sides:
x + 10 = 9
Subtract 10 from both sides:
x = -1
So the solution to the original equation is x = -1.
To check if it is extraneous, we need to substitute it back into the original equation:
x + 4 = √(x + 10)
-1 + 4 = √(-1 + 10)
3 = √9
3 = 3
The equation is true, so x = -1 is a valid solution and not extraneous.
Therefore,
Neither -1 nor -6 is a true solution to the equation.
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The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 1 : 5. If LO=36, find NO.
NO = ( )
Answer:
NO = 20
Step-by-step explanation:
If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:
3x + 1x + 5x = 36
and solve, see image.
Select the correct answer.
What is the range of this function?
у
5
4
3
2-
2
1
5
-4
-
-3
-2.
1
Х
1
2
-1
-1
3
ܕܬ
4
5
-2
-3
-4
5
.
O A.
-
B. -00
C. -1 < y < oo
D. 4 Sy < 0
Answer:
good luck passing
Step-by-step explanation: -3 -2 1 x 1 2