THE QUESTION IS IN THE PICTURE
Answer:
3x^2-9x+3
Step-by-step explanation:
if line r bisects DG at point E, and if DE= 2z +2 and DG = 5z-7, then find DG
Answer:
DG = 48
Step-by-step explanation:
if line r bisects DG at point E, then point E is midpoint of DG
so DG = 2DE
5z - 7 = 2(2z + 2)
5z - 7 = 4z + 4
5z - 4z = 4 + 7
z = 11
DG = 5z - 7 = 5(11) - 7 = 55 - 7 = 48
The price of a Blu-Ray disc player is $175. With the sales tax at
9%, what is the total cost of the Blu-Ray disc player including
the tax?
Answer:
$190.75
Step-by-step explanation:
$175 × 0.09 = $15.75
$175 + $15.75 = $190.75
43, 52, 56, 47, 53, 60, 45, 40, 52, 48, 50
Find the median and mode of the following data.
Answer:
median = 50
mode = 52
Step-by-step explanation:
Answer:
Median: 50
Mode: 52
Step-by-step explanation:
To find the median, you arrange all of the numbers in order and find the number in the middle.If the number of values is an even number, the median will be the average of the two middle numbers.
The mode is the number that occurs the most in a set of data.
What is the lateral surface area of the square pyramid represented by this net?
Answer:
340 ft²
Step-by-step explanation:
From the diagram, we can see that the shape is made up of a square and 4 triangles. (We know it's a square as its width equals its length).
First, find the area of the square.
Area of a square = width x length = 10 x 10 = 100 ft²
All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.
Area of a triangle = 1/2 x base x height = 1/2 x 10 x 12 = 60 ft²
So the total area of all 4 triangles = 4 x 60 = 240 ft²
Therefore the total surface area = 100 + 240 = 340 ft²
Answer:
340 ft²
Step-by-step explanation:
The surface area of a shape is basically the area of its faces.
[tex]\rightarrow \text{Surface area of pyramid: 4(Area of triangle) + Area of square}[/tex]
1. First, Let's find the area of the triangles. To find the area of a triangle, we need to multiply the height and the base and then divide the product by 2.
[tex]\rightarrow \text{Area of triangle} = \dfrac{12 \times 10}{2}[/tex]
Now, let's find the area of the triangle by simplifying the RHS.
[tex]\rightarrow \text{Area of triangle} = 6 \times 10[/tex]
[tex]\rightarrow \text{Area of triangle} = 60 \ \text{ft}^{2}[/tex]
Since there are four triangles, we need to further multiply the area of the triangle by 4 to find the area of four triangles.
[tex]\rightarrow \text{Area of four triangles} = 4(60)[/tex]
[tex]\rightarrow \text{Area of four triangles} = 240 \ \text{ft}^{2}[/tex]
2. Now, let's find the area of the square. To find the area of the square, we need to square the side length.
[tex]\rightarrow \text{Side length} = 10 \ \text{ft}[/tex]
[tex]\rightarrow \text{Area of square} = 10^{2}[/tex]
[tex]\rightarrow \text{Area of square} = 100 \ \text{ft}^{2}[/tex]
3. Lastly, let's find the surface area. To find the surface area of the figure, we need to sum up the area of the triangles and the area of the square.
[tex]\rightarrow \text{Surface area of pyramid: 4(Area of triangle) + Area of square}[/tex]
[tex]\rightarrow \text{Surface area of pyramid: 240 + 100}[/tex]
[tex]\rightarrow \text{Surface area of pyramid: 340 \text{ft}}^{2} }[/tex]
Which explanation can be used to informally derive the formula for the volume of a cone?.
The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
The formula for the volume of a coneIf we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.
This makes a difference in the volume of the two objects.
Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.
Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
Learn more about Cone:
https://brainly.com/question/1315822
Teresa bought n packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils c that Teresa bought.
Answer:
c = 12n
Step-by-step explanation:
2 1/4 = 1 2/7 ÷ x i need help plz help me
Answer:
Pretty sure it’s x= 16/49
Step-by-step explanation:
Solve. −2x 3. 25=0. 5x 4. 75 x=−0. 6 x=−1 x=−3. 2 I don't know.
Answer:
x=-0.6
Step-by-step explanation:
I need help with this quick
Plz show all the work plz
Answer:
Step-by-step explanation:
pls help me
[tex]49 = {x}^{2} [/tex]
49=x2
Answer:
x=-7
Step-by-step explanation:
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 49 [/tex]
According to rule : x² = y, then x = ± √y
[tex]\qquad \sf \dashrightarrow \: x = \pm\sqrt{49} [/tex]
[tex]\qquad \sf \dashrightarrow \: x= \pm7[/tex]
3c + 4c+ - 13 = 1 Plzz help
Answer:
C=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
3C + 4C + -13 = 1
(3C + 4C) + (-13) = 1
Combine like terms.
7C + -13 = 1
Add 13 to both sides.
7C = 14
Divide both sides by 7.
C = 2
Answer:
c=2
Step-by-step explanation:
collect like terms 3c+4c=7c
move the constant to the right and change its sign(-13 becomes 13)
then add 1+13=14
next divide both sides of the equation by 7
14÷7=2
Write inequalities to represent the situation. To be a valedictorian, a student has to have at least a GPA of 4.0. (Use g represent GPA)
Answer:
g ≥ 4.0
Step-by-step explanation: It is greater than or equal to because we dont know what G equals to, but we do know that G represents GPA.
Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1/2 cup servings of punch can they make?
What is the math problem?
Answer:
22 servings
Step-by-step explanation:
4+7=11 cups
11 divided by 1/2=22
Find the value of x. Round your answer to the nearest tenth.
Answer:
c. 13.9
Step-by-step explanation:
we can work out the third angle
all angles add up to 180
90 + 30 = 120, 180 - 120 = 60
using law of sines
[tex] \frac{x}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]
where sin(a) = 60, b = 30 and sin(b) = 30
[tex] \frac{x}{sin(60)} = \frac{8}{ \sin(30) } [/tex]
[tex]x = \frac{8}{sin(30)} \times \sin(60) [/tex]
x = 13.9
-3(6 - r)=6 what is the value of r?
Answer: 8
Step-by-step explanation:
distributive property = -18 + 3r = 6
cross river = 3r = 6 + 18
add = 3x = 24
lastly, divide = 8
select all of the equations that represent a nonlinear function
A. y= 3x(square)+9x+6
B. y=3x-10
c. y=2x+9x
d. y=x(3x+10)
e.y=x/3+10
Answer:
a. y = 3x² + 9x +6
d. y = x(3x + 10)
Step-by-step explanation:
Most equations that have a squared variable are going to be nonlinear.
If you distribute the x in the d equation you get this: y = 3x² + 10x
Choices b, c, and e are going to be linear because there is only one variable, and those variables do not have exponents.
There are 12 months in a year.
Use the drop-down menus to help write the equation that can be used to find the number of months, , given the number of years, .
Answer:
12 months=1 years
24 months=2 years
36 months=3 years
(click choose and pin the photo please) so that i can see options
hope it helps you
make me brainliest plz
if a coach estimates that each football player will eat 3/4 of a pizza how many should he order to feed 16 players
Answer:
to find the answer we multiple 3/4*16 and we get 12. meaning that he needs to order 12 pizzas if each football player eats 3/4 of a pizza
The volume of a rectangular prism is 36 cubic feet. Select three choices which could be the dimensions of the prism.
Answer:
Well we don't have the choices to choose from so I will just list some
36x1x1
18x2x1
3x6x2
3x3x4
2x2x9
6x6x1
3x12x1
Step-by-step explanation:
anything that multiples together to get 36
Hope this helps if you need more let me know! :)
1x factors of 36
1x1x36
1x2x18
1x3x12
1x4x9
1x6x6
2X factors of 18
2x1x18
2x2x9
2x3x6
3 times factors of 12
3x1x12
3x2x6
3x3x4
4 times factors of 9
4x1x9
4x3x3
6 times factors of 6
6x1x6
6x2x3
there are some repeats but that should be most of the choices
If u+8=5 and v -3=-2 whats the value of u and v
Answer:
[tex]{ \tt{u + 8 = 5}} \\ { \tt{u = 5 - 8}} \\ { \underline{ \underline{ \tt{ \: u = {}^{ - }3 \: }}}}[/tex]
[tex]{ \tt{v - 3 = - 2}} \\ { \tt{v = - 2 + 3}} \\ { \underline{ \underline{ \tt{ \: \: v = 1 \: \: }}}}[/tex]
Bill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil? *
Answer:
5 months
Step-by-step explanation:
120 * 10m = 150 * 4m
subtract 4m to 10m
120 * 6m = 150
subtract 120 to 150
6m = 30
divide 6 to 30
30 / 6 = 5
5 months
NEED HELP ASAP
Find f(-2) for f(x) = 2(4)^x
Answer:
A.) [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
f(-2) means plug in -2 in for x for the equation f(x), therefore,
f(-2) = [tex]2(4)^x = 2(4)^{-2} = \frac{1}{8}[/tex]
I buy
packet of bread rolls costing £1.50 for each packet
2 bottle of ketchup costing £1.60 for each bottle
3 packets of sausages
I pay with a £10 note.
I get 50p change.
How much does 1 packet of sausages cost?
Step-by-step explanation:
are you having problems with something if so message
Please help- A car travels 600ft in 20 seconds. A motorcycle travels 300ft in 12 seconds. Which is faster, the car or the motorcycle? Explain.
Answer:
The Car.
Step-by-step explanation:
We need to find the unit rate for each vehicle to figure out who is traveling faster or slower.
Car: 600/20 = 30 ft per second
Motorcycle: 300/12 = 25 ft per second
So, the Car is faster
A particle travels along the x-axis such that its velocity is given by v(t) = (t^0.7 + 4t) cos (t^2). What is the average acceleration of the particle on the interval 0thousandth.
It's not clear to me what the given interval is supposed to be, so I'll use a generic one, [a, b] with a < b.
The average acceleration of the particle over this interval is given by the average rate of change of v(t),
[tex]a_{\rm ave} = \dfrac{v(b) - v(a)}{b - a} = \boxed{\dfrac{(b^{0.7}+4b)\cos(b^2) - (a^{0.7}+4a)\cos(a^2)}{b - a}}[/tex]
3E. Given square ABCD, with point P on side AB , point Q on side BC, point R on side CD, and point S on side DA as shown. Additionally, P is 2/3 of the way from A to B, Q is 2/3 of the way from B to C, R is 2/3 of the way from C to D, and S is 2/3 of the way from D to A. Compute the ratio of the area of square PQRS to the area of square ABCD. Write your answer as a fraction in lowest terms.
The length of the sides of the square PQRS is a fraction of the
length of the sides of square ABCD.
Correct response:
The ratio, of area of square PQRS to the area of square ABCD is; 5:9Which is the method used to find the ratio of the areas?Let x represent the side length of the square, ABCD we have;
Area of the square, ABCD is A = x²
Side length, s, of the inscribed square, PQRS, is given as follows;
[tex]s = \displaystyle \sqrt{ \left(\frac{2}{3} \cdot x \right)^2 + \left(\dfrac{1}{2} \cdot x\right)^2 } = \frac{\sqrt{5} }{3} \cdot x[/tex][tex]Area \ of \ the \ inscribed \ square\ = s^2 = \left(\dfrac{\sqrt{3} }{3} \cdot x \right)^2 = \mathbf{\dfrac{5}{9} \cdot x^2}[/tex]
[tex]Ratio \ of \ area \ of \ square \ PQRS \ to \ square \ ABCD = \dfrac{\dfrac{5}{9} \cdot x^2 }{x^2} = \mathbf{ \dfrac{5}{9}}[/tex]
The ratio of the area of the square PQRS to the square ABCD is 5:9Learn more about finding the area of geometric shapes here:
https://brainly.com/question/316492
Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12
Answer:
2y -x + 6 = 0
Step-by-step explanation:
Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .
The given equation is ,
[tex]\sf \longrightarrow 2y + 4x = 12 \\ [/tex]
[tex]\sf \longrightarrow 4x + 2y = 12 [/tex]
Firstly convert this into slope intercept form , to find out the slope of the line.
[tex]\sf \longrightarrow 2y = -4x +12\\ [/tex]
[tex]\sf \longrightarrow y =\dfrac{-4x+12}{2}\\ [/tex]
[tex]\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\ [/tex]
[tex]\sf \longrightarrow \red{ y = -2x + 6 } [/tex]
Now on comparing it to slope intercept form which is y = mx + c , we have ,
m = -2And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,
[tex]\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}} [/tex]
Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,
[tex]\sf \longrightarrow y - y_1 = m(x - x_1) [/tex]
Now on substituting the respective values we have,
[tex]\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\ [/tex]
[tex]\sf \longrightarrow 2(y-1 )= x -8 \\[/tex]
[tex]\sf \longrightarrow 2y -2=x-8\\ [/tex]
[tex]\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}} [/tex]
Answer:wassup im sheksmom222
Step-by-step explanation:
42069
. You are mailing a gift box that is 18 inches by 8 inches by 12 inches. You
want to put it in a larger box and surround it with foam packing. The larger
box is 20 inches by 12 inches by 15 inches. How many cubic inches are
there for the foam packing?
Cubic inches of first box = 18 x 8 x 12 = 1,728 cubic inches
Cubic inches of larger box = 20 x 12 x 15 = 3,600 cubic inches.
Cubic inches for packing foam = 3600 - 1728 = 1,872 cubic inches
Answer: 1,872 cubic inches
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economic. 10 students offer neither of the two subject and 5 students offer both subjects.How many student offer economic and illustrate the information on the venn diagram
