Hi there! g(0) means the value of g(x) at x = 0. Look at x = 0 and see which y-point makes x = 0.
See that y = 4 makes x = 0 for the graph. Thus, g(0) = 4.
Next is to find the domain and range. Domain is the set of all x-values while Range is the set of all y-values.
For domain, look at the horizontal x-axis plane and the graph. Notice how the graph infinitely goes up for both negative and positive. Since the graph is in negative and positive as well. That means the domain is all real numbers
For range, look at the vertical y-axis and the graph. Notice how when y < -2, there are no points that are part of the graph. The graph goes infinitely for range as well but there're no y-values less than -2 for the graph.
Therefore, range is y >= -2.
Answer
g(0) = 4domain is set of all real numbers.range is y >= -2PLEASE HELP GEOMETRY!!!!!
Based on geometric properties, which statements are correct?
A) The formula V = lwh can be used to model the shape of a cake.
B) The formula V = 1/2bhl can be used to model the shape of a tent
C) The formula V = 1/2r³ can be used to model the shape of an apple
D) The formula V = r²h can be used to model the shape of a tree trunk
E) The formula V = 4/3r²h can be used to model the shape of a funnel
Answer:
I reckon it's B ........
Answer: The answer is A, B, and D.
Step-by-step explanation: I just did it on USATestPrep
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
The average weight of a particular box of crackers is 37.0 ounces with a standard deviation of 0.5 ounce. The weights of the boxes are normally distributed.
What percent of the boxes weigh more than 36.0 ounces?
What percent of the boxes weigh less than 36.5 ounces?
Exercise 1.3
1. There are 10,785 English books, 8,973 Hindi books and 4,766 books on other languages in a library.
books are there in all in the library?
[tex]10.785 \times 8.973 \times 4.766[/tex]
Answer:
There are 24,524 books total.
Step-by-step explanation:
If you are asking for the total then you would just add 10785 and 8973 and 4766.
[tex]10785 + 8973+4766= 24524[/tex]
Find the radius of the circle,
Answer:
the correct answer is option D. 7
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 10% during the current year. In addition, it estimates that 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
Required:
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
Answer:
a. 5% of the employees will experience lost-time accidents in both years
b. 24% of the employees will suffer at least one lost-time accident over the two-year period
Step-by-step explanation:
a. What percentage of the employees will experience lost-time accidents in both years?
20% last year, of those who suffered last year, 25% during this year. So
[tex]p = 0.2*0.25 = 0.05[/tex]
5% of the employees will experience lost-time accidents in both years.
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
5% during the two years.
10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.
First year yes, not on the second.
75% of 20%. So, total:
[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]
24% of the employees will suffer at least one lost-time accident over the two-year period
I can’t figure it out!! Please help!
Does someone know the answer too: 10 less than s? Ty
Answer:
s-10
hope this helps
have a good day :)
Step-by-step explanation:
Find q. will give brainliest!!
Step-by-step explanation:
q=24 m
cause its congurent
What is the answer for this question?
Answer:
The answer is A 1 4/5
Work:
7 1/5- 6 2/5
turn 7 1/5 into 6 6/5 and now subtract the two fractions
6/5-2/5= 4/5
now subtract the whole numbers:
6-6=1
So, your answer should be 4/5 (A)
3y=150, what is the value of y-2
Answer:
y = 48
Step-by-step explanation:
Start with the given 3y = 150.
Solve this for y by dividing both sides by 3: y = 50
Then y - 2 = 50 - 2, or
y = 48
The value of y-2 is 48,
What is an equation?Two expressions connected by an equal sign makes an equation.
Given is an equation, 3y = 150
Solving for y,
3y = 150
y = 150 / 3
y = 50
therefore, y-2 = 50-2
= 48
Hence, the value of y-2 is 48,
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A) Abdul invests 400$ at 6.05% per year simple interest, calculate how much interest Abdul receives
B) Samia receives 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Answer:
$24.20
amount invested = $356
Interest = $44
Step-by-step explanation:
Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Simples interest = amount invested x time x interest rate
400 x 0.065 x 1 = $24.20
b. interest = amount received - amount invested
Amount invested = amount received / (1 + r)^n
r = interest rate
n = number of years
400 / (1.06)^2 = 356
Interest = 400 - 356 = $44
identify the angle type, then find the value of x
9514 1404 393
Answer:
acute anglex = 25Step-by-step explanation:
The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)
__
The two marked angles are vertical angles, so have the same measure.
3x° = 75°
x = 25 . . . . . . . . divide both sides by 3°
the perimeter of rectangle math is 297 cm. the ratio of the length to width is 3:8. what is the width of the rectangle?
Answer:
Width = 108 cm
Step-by-step explanation:
Perimeter = 2 x (length + width)
297 = 2 x (length + width)
148.5 = Length + width
Ratio of Length to Width = 3 : 8
Sum of ratio = 11
[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]
Find the slope of the line
(4,4) (-5,-2)
Answer:
m = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
m = slope
m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
m = [tex]\frac{-2-4}{-5-4}[/tex]
m = [tex]\frac{-6}{-9}[/tex]
m = [tex]\frac{6}{9}[/tex]
m = [tex]\frac{2}{3}[/tex]
Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).
A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The desired expression can be expanded to the sum of products form ...
A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)
It will only be true when A is true and one of B or C is false.
The jackals howled loudly in the forest change in to interrogative
Answer:
did, the jackles howled loudly in the forest ?
Thankssssssss smmmmmmm
9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the GREATEST allowable thickness of the metal square?
A. 0.0002 inches
B. 0.02 inches
C. 0.0202 inches
D. 0.03 inches
Answer:
A.0.0002 inch
Step-by-step explanation:
0.02 inch×1%=0.02 inch×1÷100
=0.0002 inch
If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.
The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.
Given thickness: 0.02 inches
1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches
Subtracting the 1 percent allowable error from the given thickness:
0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches
Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.
Among the answer choices provided:
A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.
B. 0.02 inches is the given thickness.
C. 0.0202 inches is the greatest allowable thickness.
D. 0.03 inches is greater than the greatest allowable thickness.
Hence, the correct answer is C. 0.0202 inches.
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find the regression equation of the following ages of husband and wives at marriage
husband 23,27 ,28,28,29, 30,31,33,35,36
wife 18,20,22,27,21,29,27,29,28,29
Answer:
Ŷ = -1.7391+0.8913X
Step-by-step explanation:
Given the data :
husband 23,27 ,28,28,29, 30,31,33,35,36
wife 18,20,22,27,21,29,27,29,28,29
Taking :
Husband as (X)
Wife as (Y)
We could use technology to fit the data and obtain a regression model.
Using technology ; the regression equation obtained is:
Y = -1.7391+0.8913X
Where
Y = wife
X = husband
Slope = 0.8913
Intercept = - 1.7391
I need help on C......
Step-by-step explanation:
[tex]B=100e^{0.592t}[/tex]
c) To solve for t, take the natural logarithm of the above equation:
[tex]\dfrac{B}{100}=e^{0.592t}[/tex]
[tex]\Rightarrow \ln \left(\dfrac{B}{100} \right) = \ln e^{(0.592t)}=(0.592t)\ln e[/tex]
Recall that [tex]\ln e = 1[/tex] so we can rewrite the equation above as
[tex]0.592t = \ln \left(\dfrac{B}{100} \right)[/tex]
Finally, solving for t, we get
[tex]t = \frac{1}{0.592} \ln \left(\dfrac{B}{100} \right)[/tex]
solve the following equation algebraically please
Answer:
b. x = ±2
Step-by-step explanation:
3x² = 12
Divide both sides by 3
x² = 4
Taske the square root of both sides
x = ±2
Angles ABC and DBE are vertical angles. If m
A. 180°
B. 38°
C. 52°
D. 128°
Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar . She already put in 1/2 a cup of flour. How many more cups of flour does need to add? Write your answer in decimal form.
Answer:
6 1/2................
[tex]Find the missing side or angle of this equation. This is not a right triangle.[/tex]
Answer:
15.6
Step-by-step explanation:
the angle = 180-61-42=77°
x = 14.sin 77/sin 61
= 14×0.97/0.87
= 15.6
PLEASE HELPPPPPPPP MEEE PLEASE!
Answer:
Root Multiplicity
-4 2
-1 2
2 1
5 3
---------------------------
y = a(x + 4)²(x + 1)²(x - 2)(x - 5)³
find "a" using point (0, 20000)
20000 = a(0 + 4)²(0 + 1)² (0 - 2)(0 - 5)³
20000 = a(16)(1)(-2)(-125)
20000 = a (4000)
a = 20000/4000
a = 5
y = 5(x + 4)²(x + 1)²(x - 2)(x - 5)³
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 8 3/4 yards. Find
the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change in field position on each run was
yards.
Answer:
-1 1/4 yards
Step-by-step explanation:
7 carries
-8.75 yards total yardage
-.8.75 / 7 = -1.25 yards average per carry
In mixed number ? -1 1/4 yards
No links please :) Love you guys stay safe 3
Answer:
C
Step-by-step explanation:
I've completed the test before. :)
Below are the U.S. box office gross sales for the first 6 weekends of the release of the movie Dolittle. (Source: https://www.boxofficemojo.com)
Weekend 1 2 3 4 5 6
U.S. Box Office Gross (in millions of $) 32.18 15.33 9.78 8.15 7.19 2.36
a. Determine the exponential regression equation that models the U.S. Box Office Gross (in millions), G, in terms of the number of weekends since it has been released, t. Write it in Q form here (round numbers to four decimal places):
G=
(
)t
b. Determine the decay rate. Report your answer as a percentage, rounded to two decimals.
%
c. According to your model, what is the predicted U.S. box office gross sales in week 8? Report your answer in millions, rounded to two decimals.
$
million
uppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5 and a standard deviation of 0.37. Using the empirical rule, what percentage of the students have grade point averages that are no more than 3.24
Answer:
[tex]P(x \le 3.24) = 0.97725[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 2.5[/tex]
[tex]\sigma = 0.37[/tex]
Required
Percentage that is not more than 3.24
The above implies that:
[tex]x = 3.24[/tex]
Calculate z score
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
[tex]z = \frac{3.24 - 2.5}{0.37}[/tex]
[tex]z = \frac{0.74}{0.37}[/tex]
[tex]z = 2[/tex]
So, the probability is represented s:
[tex]P(x \le 3.24) = P(z \le 2)[/tex]
From z probability
[tex]P(z \le 2) = 0.97725[/tex]
Hence:
[tex]P(x \le 3.24) = 0.97725[/tex]