Answer:
| A | < | D |
Step-by-step explanation:
| A | is going to be 4 units since A = -4
| D | i sgoing to be 3 units since D = 3
Answer:
The answer is |A|< |D|
Step-by-step explanation:
Just did it and it was right
The simplified form of 3root45 - root 125 + root 500
Answer:
the answer and explanation is in the picture
please like and Mark as brainliest
hope this helps
Work out, giving your answer as a mixed number:
4 2/3 + 1 3/4
Look at the attached picture
hope it will be helpful to you..
Help me out!!!! What is it
Answer:
92
Step-by-step explanation:
180-88=92
Supplementary angles equal 180 degrees
Answer:
92 degrees
Step-by-step explanation:
180-88=92
A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.
Answer:
The area of the window is of 840 square inches.
Step-by-step explanation:
To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.
Matematically:
[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]
In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.
In this question:
[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]
All the measures in inches, so the area is in square inches.
[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]
The area of the window is of 840 square inches.
HELP ASAP!
Point A is located at (1, 4), and D is located at (-3, 6). Find the coordinates of the point that lies halfway between A and D. (5 points)
(3, 4)
(-3, 4)
(1, 5)
(-1, 5)
Answer:
I believe the answer is (-1,5)
Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
Let's say Jessie installed j axles. Convert words to math:
- "12 more" = + 12
- "the number of engine blocks her friend Gus installed yesterday" = g
Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:
j = g + 12
g = j - 12
Lets use the variables "a" and "g" to solve.
a = number of axles
g = number of engine blocks
If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).
Now, we have the expression a = g + 12
Solve for g since we are finding the number of engine blocks Gus Installed.
a = g + 12
~Subtract 12 to both sides
a - 12 = g + 12 - 12
a - 12 = g
Therefore, the answer is [ a - 12 = g ]
Best of Luck!
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Answer:
D
Step-by-step explanation:
see attachment
whats the product for (2z-3)^3
Answer:
8z^3-36z^2+54z-27
Step-by-step explanation:
(2z-3)^3
(2z)^3*(2z)^2*3+3*2z*3^2-3^3
8z^3-3*4z^2*3+3*2z*9-27
8z^3-36z^2+54z-27
Answer:
[tex]8z^3-36z^2+54z-27[/tex]
Step-by-step explanation:
[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]
Simplify each rational expression. State any restrictions on the variable.
x-3/x+4 ÷ x^2-1/x
Show your work.
Answer:
x-3/x+4 ÷ x^2-1/x ; x ≠ -4, 0
Step-by-step explanation:
x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->
(x-3)/(x-4) * x/(x^2-1) -->
((x-3)(x))/((x-4)(x-1)(x+1))-->
No way to simplify it further-->
x-3/x+4 ÷ x^2-1/x
PLEASE ANSWER THIS ASAP
Answer:
i really dont know
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The slope (rate of change) are 2/5 or .4 for both of them
The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?
Answer:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Step-by-step explanation:
For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:
[tex] y = 8.50 x -5[/tex]
And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:
A) ƒ(x) = (6x + 1)2
B) ƒ(x) = (1∕6x + 1)2
C) ƒ(x) = 6(x + 1)2
D) ƒ(x) = 1∕6 (x + 1)2
Answer:
[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Step-by-step explanation:
Vertical stretch or shrink
[tex]y=c \cdot f(x)[/tex]
a stretch by a factor of c if c>1
a shrink by a factor of c if c<1
c is the factor
We are given that factor = 1/6 <1
So, Vertical shrink
So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]
We are given that [tex]f(x) = (x + 1)^2[/tex]
So,[tex]y=\frac{1}{6}(x+1)^2[/tex]
Option D is true
Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Answer:
ƒ(x) = (1∕6x + 1)^2
Step-by-step explanation:
Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment that partitions AB in the ratio 1:2.
The coordinates of the point P on directed line segment that partitions AB in the ratio 1:2 is (4, 0)
Given the point A (-2, 4) and B(7, -2). The coordinate of the point P on the line segment that partitions AB in the ratio 1:2, is expressed as:
[tex]P(X, Y) = (\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})[/tex]
Substitute the given coordinates where a = 1 and b = 2
[tex]P(X, Y) = (\frac{1(-2)+2(7)}{1+3}, \frac{1(4)+2(-2)}{1+2})\\P(X, Y) = (\frac{-2+14}{3}, \frac{4-4}{1+2})\\P(X, Y) = (\frac{12}{3},\frac{0}{3})\\P(X, Y) = (4, 0)\\[/tex]
Hence the coordinate of point P is (4, 0)
Learn more here: https://brainly.com/question/3510899
What is the image point of (3,-8) after a translation left 2 units and up 5 units?
A number cube is rolled 12 times and lands on 3 four times and on 5 three times. Find the experimental probability of landing on three.
Answer:
the answer is 27
Step-by-step explanation:
because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27
Unit 5. 4) Please help. Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a one-foot diameter. Will the helium tank provide enough helium for the display? Why or why not?
Use 3.14 for π in your calculations. Round your answer to the nearest tenth if necessary.
Answer:
The correct answer is option c.
− 5/6 x=−10/3 solve for X
Answer:
X = 4
Step-by-step explanation:
-5/6x = -10/3
x = -10/3 * -6/5
x = 60/15
x = 4
Answer:
The result for this equation is [tex]x =4[/tex] .
Step-by-step explanation:
Solve the equation for [tex]x[/tex] :
[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]
[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]
[tex]x = 4[/tex]
So, the answer for this equation is [tex]x =4[/tex] .
1
2
3..
4
5
6
8
9
10
Which set of data does not contain any outliers?
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
99, 103, 91, 104, 109, 107, 97
131, 135, 131, 99, 138, 136, 140
Answer:
99, 103, 91, 104, 109, 107, 97
Step-by-step explanation:
The bold is the outlier
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
131, 135, 131, 99, 138, 136, 140
Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25
Answer:
31
Step-by-step explanation:
The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?
I hope this helps you
Answer:
To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.
Step-by-step explanation:
[tex]V=605 \text{in}^3[/tex]
Then one can also state the following:
[tex]V=(x+2)(4x-1)(2x+5)[/tex]
Following up with this substitution:
[tex]605=(x+2)(4x-1)(2x+5)[/tex]
Proceeding with a FOIL procedure:
[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]
[tex]605=8x^{3}+34x^{2}+31x-10[/tex]
[tex]0=8x^{3}+34x^{2}+31x-615[/tex]
Using PRZs:
[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]
By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.
[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]
Giving the following the polynomial:
[tex]0=(x-3)(8x^2+58x+205)[/tex]
Now one can evaluate the discriminant of that quadratic:
[tex]58^2-4(8)(205)=-3196[/tex]
Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]
1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft
Answer:
192[tex]feet^3[/tex]
Step-by-step explanation:
The formula for the area of a rectangle is : [tex]length*width[/tex]
In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.
To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.
1) Multiply 6 by 4.
[tex]6*4=24[/tex]
2) Multiply 24 by 8.
[tex]24*8=192 feet^3[/tex]
how to make a percent into a decimal
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.
Step-by-step explanation:
5.25% = .0525
Kono Dio Da
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Step-by-step explanation:
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
can someone helpme please
Answer: the first box is 1/5 since one of 5 squares are shaded.
The next box the answer is “there are 4 groups 1/5.
The next answer is 4/5
The last answer is 4/5
Step-by-step explanation:
15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively
Answer:
13
Step-by-step explanation:
70 - 5 = 65
125 - 8 = 117
Find the Greatest Common Divisor of 65 & 117
65 = 5 * 13
117 = 3 * 3 * 13
GCD = 13
13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively
Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m
M
I need help
Answer:
15
Step-by-step explanation:
Use the Pytago theorem.
AB^2=AC^2+BC^2
AB^2= 9^2 + 12^2
= 225
AB = [tex]\sqrt225}[/tex]
= 15
9. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.
The figure is not drawn to scale.
8.8 cm
/
4.7 cm
13.1 cm
313.3 cm3
436.4 cm
541.8 cm3
681.5 cm3
Answer:
The answer is 541.8 cm³
Step-by-step explanation:
you just have to multiply the measures of each side:
(8.8)(4.7)(13.1) = 541.8
What is the area of sector GPH?
Answer:
Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)
Hope this helps!
Answer:
78.5 yards²
Step-by-step explanation:
Area of a sector:
Theta/360 × pi × r²
40/360 × 3.14 × 15²
78.5 yd²
Graph the circle x2 + y² + 16x - 16y + 124 = 0
Answer:
the second option
Step-by-step explanation:
The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:
x² + 16x + y² - 16y + 124 = 0
(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64
(x + 8)² + (y - 8)² = 4
Now we can see that the circle has center (-8, 8) and radius 2.
To graph it, we can plot the center point and then draw a circle with radius 2 around it.
Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
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Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!
Answer:
x = 18 units
w = 20 units
n = 6.9 units
Step-by-step explanation:
Given: Similar figures
To find: value of the variable in each pair of similar figures
Solution:
Figures are said to be similar if they have same shape and not necessarily same size.
Corresponding sides of similar figures are always proportional.
[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]
[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]
[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]