The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.
What is the range of the function graphed below ?
Answer:
C
Step-by-step explanation:
I counted by recording all the numbers nd steps
Answer:
C
Step-by-step explanation:
What is the remainder when 4x3+8x−32 is divided by x+10?
Please help me.......
Answer:
x=206
Step-by-step explanation:
The directrix of a parabola is y = 4. Its focus is (2,6).
What is the standard form of the parabola?
Answer:
Step-by-step explanation:
The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
What is a parabola ?
A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.
We know that , the standard form or general equation of a parabola is given by :
y = a ( x - h )² + k
where : vertex is (h, k) and focus ( h , k + p)
We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]
It is given that focus is (2 , 6).
From focus :
h = 2 and k + p = 6
whereas from directrix :
k - p = 4
Adding both
k + p = 4
k - p = 6
We get :
2k = 10
or
k = 5
So ,
p = 1
And vertex will be :
(h , k) = (2 , 5).
The vertical distance from vertex to directrix p = 1 :
y = a ( x - 2 )² + 5
here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4
So , the standard form of given parabola will be :
y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5
Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
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Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
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if you had two = five what would five + seven be
Answer:
14
Step-by-step explanation:
2 plus 5 plus 7
To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
24 quarts of green paint
6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?
Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
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PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
393.3 in 10 years investment
Step-by-step explanation:
The question is not well structured. We can say;
$393.3 in 10 years investment at rate of 10% is equivalent to what?
Given
Amount invested = $393.3 (principal)
Time = 10years
Rate = 10% (assumed rate)
Required
Amount after 10 years
Amount = Principal + Interest
First we need to get the simple interest using the formula
SI = PRT/100
SI = $393.3 * 10 * 10/100
SI = $393.3*100/100
SI = $393.3
Amount in 10years = $393.3 + $393.3
Amount in 10years = $786.6
Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.
Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.
I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
pounds of apples for $18.00 ___
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ____
apples for $18.00.
What is the weight of a 10 kg dog
100 kg
5
O
1N
90N
O
100N
BRAINLIEST TO WHOEVER ANSWERS FIRST!!
Which two statements, if true guarantee that is congruent to B?
Choose 2 answers
FGBF
DHBF
HIDH
HI FG
Answer:
HI FG
Step-by-step explanation:
"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!
Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
Solve for z.
11z + 2z = -13
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
Answer:
z=-1
Step-by-step explanation:
Combine like terms: 11+2 ( 13z )
Divide: -13/13 ( -1 )
Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
can someone help me with this?
Answer:
Step-by-step explanation:
If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5
Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
There were 27 meeting rooms reserved for a workshop. Each room contained 134 chairs. How many total chairs were reserved for the workshop?
Answer: 3,618
Step-by-step explanation: You multiply 27 and 134 which equals 3,618.
Answer:
There were 3,618 chairs reserved for the workshop.
Step-by-step explanation:
134 chairs per 27 rooms
134*27 = 3,618
You go to the carnival, and how much you spend can be written as .50r + 15, where r = rides. What can the 15 mean?? What does the 50 mean??
Answer:
50 son las veses que me pasie, y el 15 son otras actividades que realice
Step-by-step explanation:
La r en ese lugar esta multiplicando al 50
Answer:
.50 means cost per ride and 15 ticket cost
Step-by-step explanation:
say there are 4 ride you want to go on, lets substitute r, rides, with 4
.50(4) + 15
.50 times 4 is 2
so now we have 2 + 15
2 + 15 = 17
so you have spent $17 at the carnival.
Graph f(x)=-2|x+4| khan academy
Answer:
Step-by-step explanation:
Answer:
Vertex: (-4,0); points down; y-intercept: -8
Step-by-step explanation:
Which of the following phrases translates to the expression yn
seven more than a number
the product of a number and seven
a number decreased by seven
a number divided by seven
Answer Hope this helps ^_^ Diamond is the name
Seven more than a number
Step-by-step explanation:
More than means + that number after the term. Because +7 comes after y, +7 is more than.
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]
[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]
Which of the following is the graph of the solution set of:
y< -3 or y<1
I NEED HELP ASAP!!
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children
under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children
plzz help
Answer:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.
Step-by-step explanation:
Hope this helps
Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]
De las funciones trigonométricas sabemos que
[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]
La longitud de la antena es 5.196 m.
A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?
Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m
Answer:
Correct Answer is B
39 m
Step-by-step explanation:
Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39
39 + 39 = 78
144 - 78 = 66
66/2 = 33
39m is 6m more than 33m.
The sum of all sides 39 + 39 + 33 + 33 = 144