Answer:
x=1
Step-by-step explanation:
You can find the axis of symmetry from the equation of a function by using the formula x= -b / 2a ( ax^2 + bx + c).
In this particular function, you can see that b is 1 and c is -3.
x= -b / 2a
x= - (-2) / 2(1)
x= 2 / 1
x= 1
What is the approximate value of this logarithmic expression?
9514 1404 393
Answer:
B. 1.80
Step-by-step explanation:
The change of base formula can be used.
[tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]
_____
Some calculators can compute the value for you directly.
Tyler’s brother earns $14 per hour. The store offers him a raise... an 8% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Complete the following table based on Absolute and Relative change. (Write your relative change as a percentage with a percent sign rounded to the nearest whole percent.)
Time
Value
Absolute Change
Relative Change
0
13.60
1
17.00
2
21.25
3
26.56
4
33.20
5
41.50
The relative change is solved as percentages and the absolute change is also solved
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the initial value be represented as A = 13.60 at time t = 0
Now , when the value is changed to 17.00
The absolute change = 17.00 - 13.60 = 3.40
The relative change = 3.40 / 13.60 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 21.25
The absolute change = 21.25 - 17.00 = 4.25
The relative change = 4.25 / 17.00 = 0.25 = 25 %
And , when the value is changed to 26.56
The absolute change = 26.56 - 21.25 = 5.31
The relative change = 5.31 / 21.25 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 33.20
The absolute change = 33.20 - 26.56 = 6.64
The relative change = 6.64 / 26.56 = 0.25 = 25 %
And , when the value is changed to 41.50
The absolute change = 41.50 - 33.20 = 4.25
The relative change = 8.3 / 33.20 = 0.25 = 25 %
Now , the percentage = 25 %
Hence , the relative change is given by the equation A = 25 %
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ1
Quick for 15 points. William was playing a board game that had a spinner with six equal-sized sections. Three of
the sections were red, two sections were blue, and one section was yellow. Find the probability
that he landed on a purple section.
Ratio:
Percent:
Volume by multiplying area of base times height
Answer:v= x a h add then multiply
Step-by-step explanation:
Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.
Answer:
see explanation
Explanation:
the graph of g(x) is the graph of f(x) shifted vertically by
+ 6 units
or equivalent to a translation
(
0
6
)
in general
g
(
x
)
=
x
2
±
a
for
a
>
0
shift is
(
0
a
)
↑
⏐
⏐
⏐
⏐
for
a
<
0
shift is
(
0
−
a
)
⏐
⏐
⏐
⏐
↓
graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}
Step-by-step explanation:
A sixty-minute television program has 5 commercial breaks. Each break lasts 2 minutes. Write a numerical expression that represents the length of the program without commercial breaks. *
Answer: 60 - 10
Step-by-step explanation:
There are 5 commercial breaks with each of the breaks lasting 2 minutes.
Commercial breaks in total therefore last:
= 5 * 2
= 10 minutes.
The program is a 60 minute program so to find the amount of time the program lasts without the commercials, the expression is:
= 60 - 10
It lasts 50 minutes without commercials.
In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
What is the area of the square? It has a side of 5 mm.
Please help i give brainliest
Emanuel read 150 pages in 5 hours.
Find his average reading rate.
Answer:
30 pages per hour
Step-by-step explanation:
What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?
Answer:
Hannah = 34 and 1/2
Devonte = 41 and 1/2
Step-by-step explanation:
Hanna = x
Devonte = x+7
x+x+7=83-7
2x+7=76
2x=76-7
2x=69
x=34.5
Hannah = x = 34.5
Devonte = x+7 = 41.5
Ziyad is hoping to start his own lawn care business in Gettysburg, PA. Gettysburg has about 2,400 households. Ziyad went to
three different gas stations in Gettysburg and asked every tenth adult if they would be interested in using lawn care services
in the future. Of the adults he surveyed, 92 said yes, 51 said no, and 17 said they weren't sure.
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Answer:
1380 households in Gettysburg are likely interested in using lawn care services
Step-by-step explanation:
To solve this question, we find the sample proportion and estimate for the entire population.
Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?
92 of 92 + 51 + 17 = 160 households.
92/160 = 0.575
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Sample proportion of 0.575.
For the entire population of 2400 households:
0.575*2400 = 1380
1380 households in Gettysburg are likely interested in using lawn care services
-4x-6 whats the answer ? :)
Answer:
24 I think???
Answer:
-1.5
Step-by-step explanation:
-4x-6=0
+6 +6
-4x=6
---------
-4
x=-1.5
-4(-1.5)-6=0
6-6=0
0=0
I can't figure this out
9514 1404 393
Answer:
143 in²
Step-by-step explanation:
The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.
Then the total area is the sum of products of length and width:
A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²
A = 143 in²
The area of the irregular figure is 143 in².
Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
73) C) -1
74) D) 1
Step-by-step explanation:
The only combination that equals 3 is
f(x)=(-1)(-2)+1=3
73) -1
74) 1
Answer plz i will give brainliest
Answer:
B
Step-by-step explanation:
Find the value of x in the triangle below
Answer:
50
Step-by-step explanation:
a triangle's angles add up to 180 degrees.
100-80=100
since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two
100/2=50
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
Kaitlyn is walking on a treadmill at a constant pace for 28 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts.
Select which correctly describe the 92% confidence interval. (Select all that apply.)
a. We are 92% confident that the mean height of the entire business is larger than this interval.
b. The upper height represents the 92nd percentile.
c. We are 92% confident that the mean height of the entire business is in this interval.
d. The 92% confidence interval is a subset of the 85% confidence interval.
e. We are 8% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
d. 92 employees have heights in this interval.
e. 92% of employees have heights in this interval.
Answer:
c. We are 92% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Margin of error:
The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.
In this question:
92% confidence interval -> We are 92% sure that the population mean is in this interval.
The 85% confidence interval is a subset of the 92% confidence interval.
So options c and f.
6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?
Answer:
128
Step-by-step explanation:
N(t)=4(2)^t
N(t)=4(2)⁵
N(t)=4(32)
N(t)=128
2020-2021-T-Math-Gr05-T11 Question: 1-16
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
0 36 cubic feet
72 cubic feet
O 216 cubic feet
O 396 cubic foet
Given:
The side length of a cube is 6 feet.
To find:
The volume of the cube.
Solution:
We know that the volume of a cube is:
[tex]V=a^3[/tex]
Where, a is the side length of the cube.
Putting [tex]a=6[/tex] in the above formula, we get
[tex]V=(6)^3[/tex]
[tex]V=216[/tex]
The volume of the cube is 216 cubic feet. Therefore, the correct option is C.
The period is . On a coordinate plane, the points on a function curve are shown. The curve crosses the y-axis at (0, 5) and then decreases to the minimum. The minimum is at (0.748, 2) and the maximum is at (1.870, 6). After the green point, the curve increases and then decreases again. A green point is at y = 4.
The Period of the Function Curve with the green point at y = 4 on the given coordinate plane is; 2.244
How to find the period of a wave?We are given;
Minimum Point; (0.748, 2)
Maximum Point; (1.870, 6)
The green point is the lowest point and from drawing the curve, we see that the next highest point coordinate is (4.114, 6).
The period is the x-coordinate distance between the two highest points. Thus;
Period of wave = 4.114 - 1.87
Period of wave = 2.244
Read more about Wave Period at; https://brainly.com/question/264814
#SPJ2
Answer:
Here are the correct answers:
Step-by-step explanation:
~Hope this helps! :)
1. Which of the following is not a true statement?
Group of answer choices
Angle 1 and Angle 3 are supplementary angles.
Angle 2 and Angle 7 are congruent
Angle 5 and Angle 8 are congruent.
Angle 3 and Angle 7 are supplementary angles.
[tex]\bf{Hello!}[/tex]
Angle 3 and Angle 7 are supplementary is the wrong statement
Because, they are corresponding angles and they are equal.
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
PLEASE HELP!!!!!!!!!!
Answer:
Total interest you will pay is $103.07.
The total you will pay for interest and loan amount is $749.07
iStep-by-step explanation:
Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.
Answer:
Sally is correct
Step-by-step explanation:
[tex]\frac{b}{12} =16[/tex]
to solve for b we can multiply both sides by 12 to get b alone.
b = 16 × 12
b = 192
answer of the question
Answer:
The number of milk chocolate pieces is between 115 and 120 pieces.
Step-by-step explanation:
Show me how to solve
Answer:
0
Step-by-step explanation:
all the details see in the attached picture, note (sinx)/x (when x->0) is 1.
Please help! Picture attached!
Answer:
6.2
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2
= √4.52+4.2524.52+4.252
= √20.25+18.062520.25+18.0625
= √38.312538.3125 = 6.1897