Answer:
-3
Step-by-step explanation:
You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,96) and (6,144) to find
the number of soda bottles the machine can make
each minute.
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Find the vertex: y=1/2 x^2+2x-3
Please explain how to find the answer too!
Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
Learn more about parabola here:
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The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.
6 Acirde shown below.bas center C What is the area of the shaded region?
Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74
Answer:
The answer I'd the option D
What would it be I got it wrong ?
Answer Please
...................................................................
Answer:
Step-by-step explanation:
In rectangle , diagonals are equal and bisect each other.
FI = EI
6x - 5 = 2x + 7 {subtract 2x from both side}
6x - 2x -5 = 7
4x - 5 = 7 {Add 5 to both sides}
4x = 7 +5
4x = 12 {Divide bot sides by 4}
x = 12/4
x = 3
EI = 2x + 7 = 2*3 +7 = 6 +7
EI = 13 units
EG = 2 *EI = 13 * 2
EG = 26 units
ΔFIG is an isosceles triangle.
∠IGF = ∠IFG = x
x + x + 120 = 180 {Angle sum property}
2x + 120 = 180 {Subtract 120 form both sides}
2x = 180 - 120
2x = 60
x = 60/2
x = 30
∠IGF = ∠IFG = 30
EH // FG and FH is transversal.
∠IHE = ∠IFG {Alternate interior angles}
∠IHE = 30°
ANswer it please just do it
78%
14/18 is 77.78%
Rounded to the nearest percent is 78%
Hope this helps!
Answer:
14 out of 18 which is 14/18 = .7777 = 77.7%
Step-by-step explanation:
Just help me out
Brainlist will be given
Answer:
Answer is 18 , because you add 15 and 3 which makes 18 so your answrer is x=18
Step-by-step explanation:
really hope this helped , please give me brainlest :) .
what is the 66th term in the following arithmetic sequence
-93, -85, -78, -71
Answer:
d= a2- a1
hence d= -85-(-93) = -85+93 = 8
a1= -93
d= 8
n=66
hence a66=a1+(n-1)d
a66= -93+ 65(8)
=-93+520
=427
66th term=427
pls mark as brainliest
what is the area of the figure below
Answer:
58cm2
Step-by-step explanation:
put it in section and them slove
so area of triangle = b×h÷2= 6×3/2=9cm2
area of terpizium = 5(4+6)/2=25cm2
area of triangle = 8×6÷2=20cm2
add all these together You get 58cm2
hope this helps :)
Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.
Answer:
[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value
Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?
Answer:
180cm^3
Step-by-step explanation:
All you have to do is multiply everything together to get the volume. l x w x h
Answer:
The answer is 180 cubic centimeters.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).
Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?
Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a multiple of 2 is
Answer:
1/2
Step-by-step explanation:
Theoretical probability is probability based on reasoning.
In the spinner there are 6 segments, of those 6 segments there are three multiples of two: 2,4,6
Therefore the probability of spinning a multiple of two is 3/6 (or 1/2)
pls pls pls help don't ignore imma fail
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
find the length of each side of an equilateral triangle whose perimeter is 36m
Answer:
12m
Step-by-step explanation:
36÷3=12
Hope this helps! :)
Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt
Answer:
It is D and if you don't the y-values increase by 9.
someone help tysm will give brainliest !!
Answer:
11. A) x = 2 . B) x=-1 . C) x = 0
12. A) y = 20 . C) y = -3 . D) y = 0
Step-by-step explanation:
When the line is vertical, take the x coordinate
When the line is horizontal, take the y coordinate
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5
Answer:
The volume of the sphere is 523.60
Step-by-step explanation:
The formula for volume of a sphere is :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The radius of this sphere is 5, so let's plug that into our equation.
V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]
≈ 523. 59878
Rounded to the nearest hundreth that is 523.60.
please please HELP me! this is due tonight
explaining your answer = brainliest/five star rating
the peremiter is 15 cm. c = ___ cm?
Answer:
4
Step-by-step explanation:
the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.
PLZ HELP ITS URGENT
it is blurry so take it again
Find the missing side
Answer:
x = 20.31 inches
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(62^{\circ})=\frac{x}{23}[/tex]
[tex]23sin(62^{\circ})=x[/tex]
[tex]x=20.3079464[/tex]
[tex]x\approx20.31[/tex]
Therefore, the missing side is 20.31 inches long.
The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 feet from the base of the cliff, how tall is the cliff.
Answer:
Answer: 315
Step-by-step explanation:
Decrease 80ml by 40%
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
13 In a school, students must study at least one language from German, French and Spanish.
DO NOT WRITE IN THIS AREA
There are 30 students in a class of this school.
Of these students
7 study all three of the languages
10 study both German and French
12 study both Spanish and German
9 study both French and Spanish
16 study Spanish
18 study German
Work out the total number of the students in the class who study French.
You may use the Venn diagram to help with your calculations.
Answer:
20 students
Step-by-step explanation:
looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.
What is point d on the coordinate
Algebra
The formula to find the coordinate is (x,y)
Meaning, point D is (1,4)
Hi there!
»»————- ★ ————-««
I believe your answer is:
(1,4)
»»————- ★ ————-««
Here’s why:
We can tell from the graph that point 'D' is located one unit right and 4 units up from the origin. This means that point 'D' is (1, 4).⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
What is the pair of vertical angles.
Answer:
C.
Step-by-step explanation:
Answer:
=answer is the vertical angles
C
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. the surface area of the sphere
A. equal to
B. less than
C. greater than