Answer:
745.4 cm^2
Step-by-step explanation:
The composite figure is made up of a rectangle 25 cm by 20 cm and a semicircle of radius 12.5 cm.
We add the two areas to find the total area.
total area = area of rectangle + area of semicircle
TA = LW + (1/2)(pi)r^2
TA = (25 cm)(20 cm) + (1/2)(3.14159)(12.5 cm)^2
TA = 500 cm^2 + 245.4 cm^2
TA = 745.4 cm^2
The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answer:
The answer is B. 30 seconds
To cater a brunch, Lewis' Eats charges a $130 setup fee plus $12.50 per person. The cost of Jackson Enterprise's annual holiday party cannot exceed $1500. Jackson Enterprise hires Lewis' Eats to cater their annual holiday party. Solution A: 130 + 12.50p 1500 D: 130 + 12.50p ≤ 1500
Answer:
The answer is solution D.
Step-by-step explanation:
130 + 12.50p ≤ 1500
The 130 is the setup fee
The 12.50 is the amount to pay per person
p means the number of people
The symbol ≤ means smaller than or equal to so it could be either of those
The 1500 is the max amount of money that they could spend for the party.
Maria's office is located at (-7,-5) on the coordinate plane. Her home is located at
(4,-6) and the supermarket is located at (-2,-6). When returning back from the
office, she first goes to the supermarket to buy some groceries, and then goes back
home. Find the total distance she traveled from her office to home.
Answer:
dt = 11,09 units
Step-by-step explanation:
Distance (d1) from office (-7,-5) to supermarket (-2 , -6)
over x-axis -7 - (-2) = 5 units over y-axis -5 + (-6) 1 unit
d1 = √ (5)² + (1)² ⇒ d1 = √26
d1 = √26
Distance d2 between supemaket (-2 , -6) and her home (4, -6 )
over x-axis 4 - (-2) 6 units and 0 over ya axis
d2 = 6 units
dt = d1 + d2
dt = √26 + 12
dt = 5,09 + 6
dt = 11,09 units
a miving company's moving rates can be represented by the function f(x)=3x+400, where x is the number of miles for the move. Another moving company's rates can be represented by the function g(x)=5x+200. Which function represents the difference between the moving companies rates , h(x)=f(x)-g(x)?
A) h(x)=-2x+200
B) h(x)=-2x+200
C) h(x)=5x-200
D) h(x)=5x+600
Answer:
Option a
Step-by-step explanation:
This is a nice simple problem!
Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -
h( x ) = f( x ) - g( x )
⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )
⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements
⇒ h( x ) = - 2x + 200
And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )
If you would like, there is a graph of the function in the attachment below.
Answer:
It's B on edge!
Can you combine 6x and 8y?
Answer:
No, because there aren't any like terms. x and y are different variables, so therefore they can't be combined
This problem cannot be simplified, so the
answer is the same as the question.
There are no like terms.
What is the volume of the cylinder? ANSWERS: A) 2,010.62 ft.3 B) 1,158.79 ft.3 C) 1,020.02 ft.3 D) 1,696.46 ft.3
Answer:
A) 2,010.62 ft^3
Step-by-step explanation:
V = (pi)r^2h
r = d/2 = 8 ft
V = (3.14159)(8 ft)^2(10 ft)
V = 2,101.62 ft^2
what angles have a measure of 135°
Answer:
Sorry it's 6,2,3. I didn't see the pic
Answer:angles 6, 3, 2
Step-by-step explanation:
The angles opposite are the same
Please help me. Area of a circle
Answer:
Area = πr²
= π * 2²
= 3.14 * 4
= 12.6
Answer:
[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]
Given:
Radius of circle (r) = 2 cm
To Find:
Area of circle
Step-by-step explanation:
[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]
Explain why dividing by a^b is the same as multiplying by a^−b.
Answer:is there a chart or something else to the question?
Step-by-step explanation:
Bud’s French fries contained 41% of the daily total fat allowance for a 2,000 calorie diet. If the recommended daily allowance of total fat for a 2,000-calorie diet is 64 grams, how many grams of total fat did the French fries contain?
Answer:
26.24 grams of total fat
Step-by-step explanation:
We can find how many grams of fat in the fries by multiplying:
64(0.41) = 26.24
The amount of grams of total fat did the French fries contain will be 26.24 grams.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
Bud’s French fries contained 41% of the daily total fat allowance for a 2,000 calorie diet.
If the recommended daily allowance of total fat for a 2,000-calorie diet is 64 grams.
Then the amount of grams of total fat did the French fries contain will be
⇒ 0.41 x 64
⇒ 26.24 grams
More about the percentage link is given below.
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which of the following was not a new business created by the rise of automobile
1. Roadside restaurants
2. national parks
3. roadside cabins
4. gas stations
Answer:
road side cabins
Step-by-step explanation:
the box plot represents the number of math problems on the quizzes for an algebra course.
what is the range of the data?
6
7
9
10
The range of the data is 10.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Given is a box plot.
Range of a data set is the difference between the highest and the lowest point.
The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.
Here, whiskers extends from 5 to 15.
Range = Maximum - Minimum
= 15 - 5
= 10
Hence the range of the data set is 10.
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What is the order of rotational symmetry of a regular hexagon
Answer:
Step-by-step explanation:
the order is 6
Use the figure at the right. If JK = 3x + 4 and NO = 11, what is the value of x?
Find the missing side to the triangle in the attached image.
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Guys please help me, what is 10+x+ 8, what is 9(3x), what is 1/2 (10x) + 7-3, what is -5 (4x), what is 10 - 2 (8x) - 3 , and what is 3(7x) + 3 (-5)
Answer:
[tex]1.\ 10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]
Step-by-step explanation:
Required
Solve each expression
[tex]1.\ 10+x+ 8[/tex]
Start by collecting like terms
[tex]10+ 8+x[/tex]
Add like terms
[tex]18+x[/tex]
The expression can't be solved further
Hence; [tex]10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x)[/tex]
Open the bracket
[tex]9 * 3x[/tex]
[tex]27x[/tex]
The expression can't be solved further
Hence, [tex]9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]
Open bracket
[tex]\frac{1}{2} * 10x + 7 - 3[/tex]
[tex]5x + 7 - 3[/tex]
[tex]5x + 4[/tex]
The expression can't be solved further;
Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x)[/tex]
Open the bracket
[tex]-5 * 4x[/tex]
[tex]-20x[/tex]
The expression can't be solved further
Hence, [tex]-5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3[/tex]
Open Bracket
[tex]10 - 2 *8x - 3[/tex]
[tex]10 - 16x - 3[/tex]
Collect like terms
[tex]10 - 3 - 16x[/tex]
[tex]7 - 16x[/tex]
The expression can't be solved further
Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5)[/tex]
Open both brackets
[tex]3*7x + 3 * -5[/tex]
[tex]21x -15[/tex]
The expression can't be solved further
Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]
5.1
Mdm Ong had a basket of pears.
When she met Jason, she gave him 10 pears.
When she met Ben, she gave him of the remaining pears in the basket.
2
If Mdm Ong was left with 5 pears in the basket, how many pears did she have
at first?
Answer:
17
Step-by-step explanation:
That makes it
10+2+5 =17
Answer:
16
Step-by-step explanation:
that makes this type
10+5+2 : 17
Which of these is a unit of density?
A. km/m³
B. kg/m²
C. kg/m³
D. kg/m
Answer:
[tex]\huge\boxed{C.\ \dfrac{kg}{m^3}}[/tex]
Step-by-step explanation:
[tex]density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}[/tex]
Please help me!!!!!!!!
Answer:
48 degrees
Step-by-step explanation:
we know that the sum of all angles in a triangle is 180 degrees. so the equation would be 90+(10x-8)+(4x+28)=180 degrees. Simplify, and you should get x=5. so m∠C=48 degrees bc 4*5=20; 20+28=48 degrees.
Assume m<2 = 35°. Find the measure of all of the other
angles in the figure given line l and line p are parallel.
Just the bottom please
Hope it helps <3
(If it does, maybe brainliest :) Need one more for rank up)
m∠1 = 145 degrees (supplementary angle and corresponding to ∠5)
m∠3 = 35 degrees (vertical, supplementary angle and corresponding to ∠7)
m∠4 = 145 degrees (supplementary, verticle angle and corresponding to ∠8)
m∠5 = 145 degrees (supplementary and corresponding to m∠1)
m∠6 = 35 degrees (supplementary and corresponding to m∠2)
m∠7 = 35 degrees (supplementary, corresponding to ∠3, and verticle angle)
m∠8 = 145 degrees (supplementary, corresponding to m∠4 and verticle angle)
they are all supplementary angles bc the lines l and p are parallel.
some other angles 'cause why not.
alternate interior angles: ∠3 & ∠6; ∠4 & ∠5
Alternate exterior angles: ∠2 & ∠7; ∠1 & ∠8
Same side interior: ∠3 & ∠5; ∠4 & ∠6
Same side exterior: ∠1 & ∠7; ∠2 & ∠8
PLEASE ANSWER THIS ALGEBRA QUESTION ILL MARK YOU BRAINLIEST
Answer:
False.
Step-by-step explanation:
A function is usually a curve, first of all. And second, if you notice, y=3 through the whole table. Then it is a line, not a function.
Answer:
False.
Step-by-step explanation:
Y does not vary directly with X, as it remains constantly unchanged.
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
Answer:
Option 2 and option 4
Step-by-step explanation:
option 2:
(2,2) ; (2*2 , 2*2)= (4,4) ; (2*3, 2*3) = (6 , 6)
Option 4:
(4 ,1 ) ; (4*2 , 1*2) = (8 , 2) ; (4*3 , 1*3) = (12 , 3)
Question 1 (1 point)
3. Each week Mohammad works 3 — hours on Monday, 3 hours on Tuesday, 2 hours on
2
1
Wednesday, 2-hours on Thursday, and 4 hours on Friday. How many hours does he work per
4
week? (2 marks)
Answer:
56 Hours
Step-by-step explanation:
=3+3+2+2+4=14
=14*4=56 Hours
Assuming that I read this correctly, Mohammad works 3 hours Monday, 3 hours Tuesday, 2 hours on Wednesday, 2 hours on Thursday and 4 hours on Friday. All you have to do is add all the hours he worked each week. So that would look like this. ->
3+3+2+2+4=14
Mohammad is working for 14 hours this week.
Since he has to know how many hours he is working this month (4 weeks) . He needs to multiply his weekly hours by 4. So 14*4 is 56.
56 Hours is your answer
Can someone help me with this?
Answer:
The seccond one B
Step-by-step explanation:
Find the value of: [tex]\frac{1}{2\cdot 4}+\frac{1}{4\cdot 6}+\frac{1}{6\cdot 8}+ ... + \frac{1}{48\cdot 50}[/tex]
What is the equation of the line that passes through (5, -2) and (-3, 4)? 3 x + 4 y - 7 = 0 3 x - 4 y - 7 = 0 -3 x + 4 y - 7 = 0
Answer:
3x+4y-7=0
Step-by-step explanation:
I've plotted both the points down and I've put the equation "3x+4y-7=0" and it went through both points. I've provided proof here.
at which vertex is the objective function C=3x-4y minimized
Options
(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)
Answer:
(B) (-2,20)
Step-by-step explanation:
Given the objective function, C=3x-4y
The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.
Option A
At (9,0), x=9, y=0
C=3(9)-4(0)=27-0
C=27
Option B
At (-2,20), x=-2, y=20
C=3(-2)-4(20)=-6-80
C=-86
Option C
At (-5,2), x=-5, y=2
C=3(-5)-4(2)=-15-8
C=-23
Option D
At (0,-9), x=0, y=-9
C=3(0)-4(-9)=0+36
C=36
The lowest value of C is -86. This occurs at the vertex (-2,20).
Therefore, the objective function C=3x-4y is minimized at (-2,20).
This is for pre calculus, please help
Answer:
The correct answer is:
[tex]g(x) = x+1[/tex]
Step-by-step explanation:
Given that:
[tex]h(x) = f\circ g(x)= \sqrt[3]{x+3}[/tex]
[tex]f(x) = \sqrt[3]{x+2}[/tex]
To find:
[tex]g(x) = ?[/tex]
Solution:
Let [tex]g(x) = m[/tex]
We have
[tex]f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}[/tex]...... (1)
Now, we have let:
[tex]g(x) = m\\\therefore f(g(x)) = f(m)[/tex]
Putting x = in f(x), we get
[tex]f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}[/tex]....... (2)
Comparing equation (1) and (2):
[tex]\sqrt[3]{x+3} =\sqrt[3]{m+2}[/tex]
Taking cubes both sides:
[tex]x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1[/tex]
[tex]\therefore g(x) = x+1[/tex]
Hence,
The correct answer is:
[tex]g(x) = x+1[/tex]
i15=
I
-I
1
-1
Please help
Have you ever seen rational exponents? Rational exponents are designed to fit within the properties of exponents. That is, (31/2)2 is equal to 31, or 3. What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?
Rational exponents are quite simple really. For instance, 2 to the power of 1/2 is the square root of two. You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number. I know that sounds confusing, so I'll give a bunch of examples
2 to the power of 1/3
is the cube root of 2
2 to the power of 2/3
is the cube root of 2 to the power of 2, or the cube root of 4
2 to the power of 3/4
Is the 4th root of 2 to the power of 3, or the fourth root of 8
Hope it helps <3, if you have any questions just comment.
The required answer for the number of questions has been listed in the answer section.
Given that,
A number of questions are given
The function which is in format f(x) = a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x
Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²
Thus, the solution to the question is mentioned above.
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