Answer:
The correct answer is letter B.
Step-by-step explanation:
In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.
[tex]f(x) = 5*(x + 2)^2 - 3[/tex]
[tex]g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1[/tex]
The correct answer is letter B.
Answer:
D
Step-by-step explanation:
ƒ(x) = 5(x – 2)^2 – 3
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?
Answer:
( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression
( b ) Percent wise the confidence interval should be from about 86.6% to 93.4%
Step-by-step explanation:
I believe these first two parts here is sufficient enough to get you started!
" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?
Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "
_____
( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -
514 x [tex]\frac{90}{100}[/tex]
= [tex]\frac{46260}{100}[/tex]
= 462.6
As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "
_____
( b ) Here the confidence level is 0.99 percent. Knowing that -
1 - ∝ = 0.99,
∝ = 1 - 0.99... = 0.01
Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -
0.8659 < p < 0.9341
And percent wise the confidence interval should be from about 86.6% to 93.4%
f(x) is a function.
A. True
B. False
Answer:
True, this is a function
Step-by-step explanation:
There is a 1 to one correspondence between x and y
Each x goes to one y, so this is a function
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?
Answer:
2.5 gallons
Step-by-step explanation:
Quarts of juice Mary bought = 10 quarts
1 quart = 0.25 gallons
10 quarts = 0.25×10 = 2.5 gallons
Therefore she bought 2.5 gallons
Hope this helps : ) . Have a nice day !
Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation? –0.5 and 0.2 –0.2 and 0.5 –0.5 and 0.5 –0.2 and –0.5
Answer:
B. -0.2 And 0.5
step-by-step explanation:
I used the graphing calculator on google :)
The solution to the equation using the graphing calculator is –0.2 and 0.5.
How to solve for the equation.The equation is given as
0 = 5x2 – 1.5x – 0.5
Using the graphing calculator we are to find the values of X1 and X2 using these values
A1 = 5
B1 = -1.5
C1 = -0.5
The resulting output would be X1 = -0.2. X2 = 0.5
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DONT ANSWER JUST TELL ME HOW TO DO IT!!!!! 15 POINTS!!! since there is two numbers infant of the parentheses which one do you distribute???
DONT REPORT PEOPLE WHO GIVE HINTS INSTEAD OF ANSWERS IT IS RUDE!!!
Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
Answer:
C. -n - 2
Step-by-step explanation:
3n + 2(-2n - 1)
Expand the brackets.
3n + - 4n - 2
Add like terms.
- 1n - 2
-n - 2
Graph the exponential model y=3(6)^x Which point lies on the graph? (-9 2) (-1, -18) (1, 18) (2, 9)
Answer:
(1,18)
Step-by-step explanation:
use a graphing calculator to graph the function
then, graph all the coordinates given and find on that's on the graph
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability he chooses box B?
%
Answer:
50 %
Step-by-step explanation:
The height of a building is 300 feet and its width
is 200 feet. A scale model of the building is 6
inches high. How wide is the scale model?
Answer:
50 in.
Step-by-step explanation:
Real building:
height 300 ft
width 200 ft
Model building:
height 6 in.
width 50 in.
300/6=50
Hope this helps! :) :)
The scale model of building is 4 inches wide.
The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4
Thus, The scale model of building is 4 inches wide.
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A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answer:
1/2
Step-by-step explanation:
If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}
Total elements in the set = 8
Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers
If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2
ASAP PLEASE+ brainliest
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
They all contain the same variable, B
Answer:
B, D, and E
Step-by-step explanation:
The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
PLEASE HELP! GIVING BRAINLIEST
Answer:
Step-by-step explanation:
hello
a) Pop as this is the one with the most CDs
b) 30 as this is a full one 20 + half 10 = 30
c) POP 5*20= 100
Jazz 2*20=40
Classical 1.5*20=30
Rock 3*20=60
so the total is 100+40+30+60 = 230
hope this helps
Answer:
a) The Pop CD is the mode (as it has higest sold )
b) no. of rock CDs sold = 20 × 3 = 60
no. of classical CDs sold = 20+ 10 = 30
∴The no of Rock CDS more than Classical CDs = 60 - 30 = 30
c) Pop CDs = 20 × 5 = 100
JazzCDs = 20 ×2 = 40
Classical CDs = 20 + 10 = 30
Rock CDs = 20 × 3 = 60
∴ Total no.of CDs sold = 100 + 40 + 30 + 60 = 230
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Answer:
Step-by-step explanation:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
0.6 - 1/4
Convert the decimal to fraction
Thus
0.6 = 3/4
3/5 - 1/4
Find the LCM
the LCM is 20
We get
3/5 - 1/4 = (3(4) - 5)/ 20
= 12-5/20
= 7/20
2/5 + 0.75
0.75 = 3/4
Find the LCM
The LCM is 20
Thus
3/4 +2/5 = ( 3(5) + 2(4))/20
= 15 + 8 /20
= 23 / 20 or 1 3/20
1.75 - 1/6
Convert the decimal to fraction
1.75 = 7/4
Thus we get
7/4 - 1/6
Find the LCM
The LCM is 12
Thus
7/4 - 1/6 = ( 7(3) - 2)/12
= 21 - 2 / 12
= 19/ 12 or 1 7/12
3/10 + 2.125
Convert the decimal to fraction
2.125 = 17/8
Thus
3/10 + 17/8
Find the LCM
the LCM is 40
Thus
3/10 + 17/8 = ( 3(4) + 17(5))/40
= 12 + 85/40
= 97 /40 or 2 17/40
Hope this helps
Answer:
1.15
19/12
2.425
Step-by-step explanation:
2/5+0.75
2/5=4/10
4/10=0.4
0.75+0.4
1.15
1.75-1/6
1.75=7/4
7/4=14/8=21/12
21/12-2/12
19/12, or 1.5833...
3/10=0.3
0.3+2.125=2.425
The vector a and the vector b are shown on the grid.
y
6
a) Write a as a column vector
A
va
a
Ab
2
b) Work out 2a - b as a column
a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
VectorsTo write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector
For vector aMagnitude of the vertical component = 1
Magnitude of the vertical component = -2
NOTE: Negative sign indicates that the direction of the vector is downwards
Thus, vector a as a column vector is
[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
For vector bMagnitude of the vertical component = 1
Magnitude of the vertical component = 3
[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]
Now, we are to work out 2a - b
That is,
[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
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In the diagram below, angle BAC = 34°.
Find the following angles, giving reasons for your answers.
a) angle ABC
b) angle BCA
Answer:
a) 90°
b) 56°
Step-by-step explanation:
If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC
∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°
Then ∠BCA= (180°- 68°)/2= 56°
∠ABC= ∠ABO+∠CBO= 34°+56°= 90°
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
70.257924 m^2
Step-by-step explanation:
WXY is congruent to CBA, If
Answer:
If they are opposite.
how many real roots and how many complex roots are possible with a root of 9
Answer:
12
Step-by-step explanation:
because the more the root the faster the plant grows
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!
Answer:
Here You Go! I'm not really sure about this one but i tried.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To prove this we should first make a little representation to get an idea of how will proceed to work .
To solve it we should use vectors so the first step is to identify this vectors :
we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BCNOW LET'S IDENTIFY THEIR COORDINATES :
VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)We get :
VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC (1,8)We notice that the opposite ones have the same coordinates so the edges are parallel .
If we want to check more we can calculate the lenghts :
AB=[tex]\sqrt{3^{2}+6^{2} }[/tex] DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]So AB=DC
AD=[tex]\sqrt{1^{2}+8^{2} }[/tex] BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]So AD=BC
SO ABCD IS A PARALLELOGRAM
Sally is 148cm tall. The ratio of Sally to the height of the apple tree in her garden is 1:2. How tall in meters is the apple tree?
Answer:
so the height of apple tree in meters is 3 meters
Step-by-step explanation:
by using ratio and proportion rule
1:2=148:x
[tex]\frac{1}{2}=\frac{148}{x}[/tex]
by cross multiplication
1×x=2×148
1x=296cm
converting into meter as we know that 1centi=10^-2
1x=296×10^-2
x=2.96m≈3meters
i hope this will help you :)
PRE CALC PLEASE HELP PLEASE
Answer:
The statement is true
Step-by-step explanation:
We have been given an equation of hyperbola
In the given equation of hyperbola center is located at h at -1 and k at 2. so:
C:(h,k) = (-1,2)
Coordinated of the foci of the hyperbola are given as:
Foci: (h, k ± c)
Substitute the values of h and k into the coordinated of foci of hyperbola.
Foci: (-1, 2 ± c)
Where c can be found by using the given formula
c = √(a²+b²)
c = √(16+144)
c = 4√10
So the the coordinates of the foci are:
Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)
Thus, the statement given is true
The distance between Chicago and Cleveland is
354 miles. If a person leaves Chicago at 9:50
AM. Central Time and arrives in Cleveland at
5:30 PM the same day Eastern Time, at what
average speed, to the nearest mile, does he
travel?
A)46MPH
B)50MPH
C)53MPH
D)55MPH
Answer:
The average speed on this trip was 46.15 mph. The correct option is A.
Step-by-step explanation:
In order to calculate the average speed, we need to apply the following formula:
[tex]v_{avg} = \frac{\text{distance}}{\text{time}}[/tex]
We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:
[tex]\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}[/tex]
[tex]\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5[/tex]
The elapsed time of the trip is the difference between these:
[tex]\text{time} = 17.5 - 9.83 = 7.67 \text{ h}[/tex]
We can now apply it to the formula:
[tex]v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}[/tex]
The average speed on this trip was 46.15 mph. The correct option is A.
Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.
Answer:
No. She only estimated instead of hovering over the intersection to find the exact point.
Step-by-step explanation:
I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.
Answer:
No. She used the wrong slopes when graphing the equations.
hope this helps i did it in Edge and got it right
mark me brainliest pls
Identify the two remote interior angles that correspond to angle 4.
Answer:
1 & 2
Step-by-step explanation:
Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)
Answer:
<1 and <2 are the remote interior angles for angle 4
Step-by-step explanation:
The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4
<1 and <2 are the remote interior angles
10 points! Please answer within next 5 minutes!
Explain how to use the distributive property to find the product (3)(4 1/ 5)
Answer:
12 3/5
Step-by-step explanation:
Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5
1. multiple 3 by 4 =12
2 multiple3 by 1/5= 3/5
3 write your awnser 4 3/5
Hoped this helped
2xsquared +3x-20=0 solve using quadratic formula
Answer:
[tex]\frac{5}{2} ; -4[/tex]
Step-by-step explanation:
2x² + 3x - 20 = 0
a = 2 ; b = 3 ; c = -20
[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2
= [-3±√(9+160)]/4
= [-3±√169 ]/4
= [-3± 13]/4
= [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]
2x² + 3x - 20 = 0
2x² + 8x - 5x - 20 = 0
2x(x+4) - 5(x+4) = 0
(x+4)(2x-5) = 0
x+4 = 0
x = -4
2x - 5 = 0
2x = 5
x = 5/2
Help me answer this PLEASE !!
Answer:
1. A = 2184 yd. P = 212 yd.
Step-by-step explanation:
1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.
To find the Area you have to do this formula: H * W which means height times width.
2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle
3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
To answer this question we should analyze both functions :
the intercepts with the x-axis are the numbers when a function f(x)=0here we must solve both equations :
x²=0x²+2=0the first one is obvious x=0 the scond is more interesting :
x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .
So we notice thatf has one intercept.
we added 2 to f to get g but no real intercepts
Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14
Step-by-step explanation:
2x+3y=-14------equation i ×1
3x+y=-14--------equation ii ×3
2x+3y=-14
9x+3y=-42
-7x =- 28
x=4
Substitute for x in equation ii
3x+y= -14
3(4)+y=-14
12+y=-14
y=-14-12
y=- 26