Answer:
The rate of change of a linear function = 5/4
Step-by-step explanation:
Given that a linear function includes the points (2, 3) and (6, 8).
So we have the points
(2, 3)(6, 8)We know that the rate of change of a function is also termed as the slope of the function.
In other words, the slope of the linear function gives us the rate of change of the linear function.
Thus,
Determining the rate of change or slope between (2, 3) and (6, 8)
(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)Using the formula
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [8 - 3 / [6 - 2]
= 5 / 4
Thus, the rate of change of a linear function = 5/4
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
Kathy owns her own business selling homemade jam. Each jar of jam weighs 18 ounces. The box she mails the jam in weighs 6 ounces. How many jars of jam are in a package that weighs 150 ounces? Show all work necessary to justify your answer.
Answer: There are 8 jars in the package.
Step-by-step explanation:
Given: Weight of each jar = 18 ounces
Weight of box = 6 ounces
If weight of package = 150 ounces , then the weight of all jars (only) = 150-6 ounces = 144 ounces
Number of jars = (Weight of all jars) ÷ (Weight of each jar)
= (144 ÷ 18)
= 8
Hence, there are 8 jars in the package.
what is the answer 4, 2, 1/2, or 1/4
Answer:
C. 1
2
Step-by-step explanation:
I can give u the show ur work steps if u want
Option c is the correct one!!
Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC
Answer:
AC = 12.4 km (nearest tenth)
Step-by-step explanation:
AC can be calculated by using Pythagorean Theorem.
Thus:
AC² = AB² + BC²
Plug in the values
AC² = 8² + 9.5²
AC + √{154.25)
AC = 12.4 km (nearest tenth)
12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3
Answer:
C.
Step-by-step explanation:
Hi there!
for an expression to be algebraic, there needs to be a variable.
The only option with a variable is c, with a variable of n.
I hope this helped!
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you and have a great day!
Answer:
Smaller Trapezoid: 12
Bigger Paralleogram: 24
Bigger Triangle: 22/40
Smaller Triangle : 2.75/ 5
Step-by-step explanation:
cross multiplication
Bigger Paralleogram: 9 x 16= 144 / 6= 24
Bigger Triangle: 5 x 22= 110 / 2.75 = 40
hope this helps
PLEASE HELP MEEEEE !!!!!! Like rn
Answer:
Your screen is black hun
Step-by-step explanation:
please help i will mark branliest
Answer:
A. S=3w
Step-by-step explanation:
Hope it helps
x-y=5 and x+y=-10 is this parallel, perpendicular, or neither?
Answer:
Its perpendicular
Step-by-step explanation:
You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.
Emily is purchasing bags of soil to be delivered for her yard. Each bag of soil cost
$4 and there is a $50 delivery fee. Emily spends $130 total. Write an equation for
x, the number of bags of soil Emily purchased.
Answer:
equation- 4x + 50 = 130
Step-by-step explanation:
once solved you will know the number of bags Emily purchased (x).
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answer:
Step-by-step explanation:
Use the distributive property to rewrite each expression. 4(5-2y)
Answer:
20-8y is your answer
Step-by-step explanation:
If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?
9514 1404 393
Answer:
3rd quadrant
Step-by-step explanation:
The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...
A'(-8, 2·2 -5) = A'(-8, -1)
Then, translation down and to the left will move it further into the 3rd quadrant, to ...
A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point
evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2
Answer:
29
Step-by-step explanation:
40/8 + 3*4*2 =
5 + 12*2 =
5 + 24 =
29
Answer: GIVE ME BRAINLIEST! THANKS!
29
Step-by-step explanation:
CHECK FO YO SELF BOIIII!!!!!!!!
- x(x + 7 (x - 5)
Graph this
Answer:
=−8x2+35x
Step-by-step explanation:
multiply first
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectangle has points (0, 0), (0, 3), (6, 3), (6, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1).
On a coordinate plane, a rectangle has points (0, 0), (0, 4), (8, 4), (8, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 1), (4, 1), (4, 0).
On a coordinate plane, a rectangle has points (0, 0), (0, 2), (8, 2), (8, 0).
I HAVE 30 MINUTES LEFT ON A TIMED ASSIGNMENT!!!
9514 1404 393
Answer:
(a) On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)
Step-by-step explanation:
Every point coordinate of the dilated figure will be smaller by the same factor.
Looking at the original (0, 3) coordinate, we find that possible answer choices include ...
A (0, 1) has a scale factor of 1/3
B (0, 4) has a scale factor greater than 1
C (0, 1) has a scale factor of 1/3
D (0, 2) has a scale factor of 2/3
__
Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.
In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.
What is -1/8 divided by -1/6
I need help, i don’t understand if
Answer:
(6,6)
Step-by-step explanation:
Hope this helps!
What is the correct reason for 2?
Answer:
vertically opposit angle this is the reason of this qn
Answer:
vertically opposite angle this is the reason of this
Step-by-step explanation:
WILL GIVE BRAINLIEST
A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?
pls make it easy for me to understand!!
Answer:
1.32cm
Step-by-step explanation:
Step-by-step explanation:
I'm assuming you are saying volume?
But I'll do both volume and surface area.
also note that 0.66 is the diameter, not radius
If 3.41946 is the volume:
V of cylinder = pi*r^2*h
3.41946 = pi*0.33^2*h
h = 3.41946/(pi*0.33^2) = 9.99493043 cm
If 3.41946 is the surface area:
SA of cylinder = pi*r*(r+h)
3.41946 = pi*0.33*(0.33+h)
0.33+h = 3.41946/(pi*0.33) = 3.29832704
h = 3.29832704-0.33 = 2.96832704 cm
HELP I NEED HELP ASAP
Answer:
sorry I did not learn those yet
Find the value of x. Round to
the nearest tenth.
17°
47
X = [
The answer to nearest tenth is 45.0
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
-2x + 6y - X+5+ 2x - 4y -6
Answer:
2y-x-1
Step-by-step explanation:
use zero property
(-2x. +2x) =0
=6y-x+5-4y-6
collect like terms
6y-4y=2y
=2y-x+5-6
calculate the difference
+5-6=-1
=2y-x-1
good day :)
NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.
Answer:
Step-by-step explanation:
P= a+b+c
P= 1512+223+314
=2049
12x=-4y-8 in slope-intercept form
Answer:
x=-y
Step-by-step explanation:
What is half of 7 5/8 and 5 3/8
Answer:
6.5
Step-by-step explanation:
7 5/8 + 5 3/8= 13
13/2=6.5
tell me ur white with out saying ur white
Typing this as an actual answer this time smh:
My house is still decorated for christmas
Answer:
im not black, im the opposite
Write an equation of the line that passes through (0, 8) and (6, 8).
y = __
Answer:
y = 8
Step-by-step explanation:
Normally you would use the formula y2 - y1 / x2 - x1 also know as change in y over change in x, but this equation leaves you with a horizontal line.