Using exponential function concepts, it is found that the range of f(x) is given by:
{y | y > –4}
What is the range of an exponential function?An exponential function is defined by:
[tex]y = ab^x + k[/tex]
The value of k is the asymptote of the function, hence the range is {y|y>k}.
In this problem, the function is given by:
[tex]f(x) = \left(\frac{3}{4}\right)^x - 4[/tex]
Hence k = -4 and the range is {y | y > –4}.
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Answer:
the answer is A
Step-by-step explanation:
i got it right on edge 2022
Scientists have determined that the amount of carbon dioxide in the atmosphere can be modeled by the equation y = 2x + 368, where x is the number of years since the turn of the century and y is the amount of carbon dioxide in parts per million. Which of these statements are correct according to the model? Select all that apply.
A Every year the amount of carbon dioxide in the atmosphere increases by 2 parts per million.
B Every 2 years the amount of carbon dioxide in the atmosphere increases by 1 part per million.
C 10 years from now there will be 5 more parts per million of carbon dioxide in the atmosphere than there are now.
D 10 years from now there will be 20 more parts per million of carbon dioxide in the atmosphere than there are now.
E 10 years from now there will be 373 parts per million of carbon dioxide in the atmosphere.
F 10 years from now there will be 388 parts per million of carbon dioxide in the atmosphere.
Answer:
A and D
Step-by-step explanation:
A true
B false
C false
D true
E false
F false ==> 10 years from now is 32 years since turn of century = x
there will be 2 (32) + 388 = 452 ppm
1323 flowers, each vase has to have exactly 8 flowers, how many vase
Answer:
Step-by-step solving
Step-by-step explanation:
Looking at this problem you are going to need to divide the numbers already given to firgure out how many flower vases fit exactly 8 flowers-
1323 divided by 8= the answer I got was a decimal(165.375) you could always round or re-look at the problem, but you can't have a half of a vase so you would need to round to a whole number. Maybe insert a picture of the problem just incase you might of not added some things in the question. hope this helps.
lol
Name:
Unit 10: Circles
Date:
Per
Homework 9: Standard Form of a Circle.
** This is a 2-page document! **
Directions: Graph each circle and identify its center and radius.
1. (7-6) + (x - 1) = 9
2. (x-2) + ( + 3) = 36
I
do
Furn
ѕ соmn
Center:
Center:
st ccm
en
Radius:
Radius:
M
3.8+(+2) - 64
4. (x + 4)' +(3-5) = 25
Center
Center
The centers and radius for the equations are:
1) (1, 6) and radius 32) (2, -3) and radius 63) (-4, 5) and radius 5And the circles are in the graph below.
How to identify the center and radius of a circle?
A general circle equation centered at the point (a, b), with a radius of R, is written as:
(x - a)^2 + (y - b)^2 = R^2
Then for the given equations we have:
1) (y-6)^2 + (x - 1)^2 = 9
So the center is at (1, 6) and the radius is 3.
2) (x-2)^2 + (y + 3)^2 = 36 = 6^2
So the center is at (2, -3) and the radius is 6.
3) (x + 4)^2 +(y-5)^2 = 25 = 5^2
So the center is at (-4, 5) and the radius is 5.
The graphs of the 3 circles can be seen below. Green is the first circle, blue is the second circle, and red is the last circle.
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Answer:
Step-by-step explanation:
The following two-way table represents data from a survey asking students whether they have visited alaska, hawaii, or both. a 4-column table with 3 rows. the first column has no label with entries hawaii, not hawaii, total. the second column is labeled alaska with entries 6, 8, 14. the third column is labeled not alaska with entries 15, 21, 36. the fourth column is labeled total with entries 21, 29, 50. what is the relative frequency for students who have been to alaska? what is the relative frequency for students who have been to hawaii but not alaska? what is the relative frequency for students who have not been to alaska or hawaii?
Relative frequency is frequency relative to some quantity, usually the marginal or total frequency. The needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The two way table given is:
Alaska Not Alaska Total
Hawaiii 6 15 21
Not Hawaii 8 21 29
Total 14 36 50
Calculating the needed relative frequencies one by one:
Case 1: The relative frequency for students who have been to Alaska
Total students who went to Alaska= 14Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 14/50
Case 2: The relative frequency for students who have been to Hawaii but not Alaska
Total students who went to Hawaii but not Alaska= 15Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 15/50
Case 3: The relative frequency for students who have not been to Alaska or Hawaii
Total students who haven't been to Alaska or Hawaii = total students's count - those who have been to both Hawaii and Alaska = 50 - 6 = 44Total number of students in survey = 50Thus, the relative frequency for students who have been to Alaska (relative to total count) is 44/50
Thus, the needed relative frequencies are: 14/50, 15/50, and 44/50 respectively.
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What is true about the solution(s) to this system of linear equations?
On a coordinate plane, the same line has equation y = one-fourth (x minus 4) and y = one-fourth x minus 1).
The solution is (4,0).
There is no solution.
The solution is (0,−1).
There are infinitely many solutions.
The options that are true about the system of linear equations are;
A) The solution is (4,0).
C) The solution is (0,−1).
D) There are infinitely many solutions.
What is the solution to the linear equation graph?From the given linear equation graph, we see that the linear equation that is graphed is given by;
y = ¹/₄x - 1
Now, the solution to the given equation will be the value of x that corresponds with the value of y when traced on the graph.
Let us access (4, 0)
At x = 4, we have;
y = ¹/₄(4) - 1
y = 0
Thus, (4, 0) is a solution of the graph.
Let us access (0, -1)
At x = 0, we have;
y = ¹/₄(0) - 1
y = -1
Thus, there are many solutions to the graph
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jorden linvested $800 in a savings account. The intest rate id 6%per. Find the simple intrest earned in 3 years. then find the total prinabal plus interst
Answer:
interest: $144principal plus interest: $944Step-by-step explanation:
The amount of interest is found using the simple interest formula. That is added to the principal to find the total account balance.
__
InterestI = Prt . . . . . P = principal, r = annual rate, t = number of years
I = $800·0.06·3 = $144
The simple interest earned in 3 years is $144.
__
Principal plus interestAdding that to the principal gives ...
$800 +144 = $944
The total principal plus interest is $944.
If 140 people were surveyed, how many preferred crab?
If 140 people were surveyed, from the given table, the number of people that preferred crab is; 42
How to work with percentages?We are given;
Total sample size; n = 140
Now, from the table we see the percentages that preffered each seafood.
Percentage that preferred Shrimp = 24%
Percentage that preferred Crab = 30%
Percentage that preferred Fish = 36%
Percentage that preferred Neither = 10%
Thus;
Number that preferred Crab = 30% * 140
Number that preferred Crab = 42 people
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Matthew and Anthony each have a video game collection. The number of video games in Matthew’s collection can be represented by x. The number of video games in Anthony’s collection is 5 times the number in Matthew’s collection. The total number of video games in both collections is 72. What is x, the number of video games in Matthew’s collection?
The number of video games in Matthew’s collection is 12
To solve the problem, we need to know what simultaneous equations are
What are simultaneous equations?These are a pair of equations which contain two variables.
Now, let
x = number of video games in Matthew's collection and y = number of video games in Anthony's collection.Given that the number of video games in Anthony’s collection is 5 times the number in Matthew’s collection, we have that y = 5x (1)
Also, the total number of video games in both collections is 72.
So, x + y = 72 (2)
Substituting equation (1) into (2), we have
x + 5x = 72
6x = 72
x = 72/6
x = 12
So, the number of video games in Matthew’s collection is 12
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Julia uses a scale to weigh three identical stacks of coins.
• The scale has a maximum percent error of 3%.
• The scale says the weight of the first stack of coins is 10.0 ounces.
• The scale says the weight of the second stack of coins is 10.3 ounces
Rounded to the nearest tenth of an ounce, what is the greatest possible amount that the scale could say for the weight of the third stack of coins?
A. 9.7 ounces. b .10.0 ounces c.10.3 ounces D. 10.6 ounces
Answer: 10.6
Step-by-step explanation: it has a .3% increase each time, therefore it would be D. 10.6
0/1 Hannah went to the store and spent $14. 69 on a book, $20. 99 on a shirt, and $5. 99 on a pack of pencils. If she paid with a $50 bill, what would be her change? Do not use a calculator. Don't forget a Dollar Sign $!
Answer:
$8.33
Step-by-step explanation:
$14.69 50.00
+ $20.99 - 41.67
=35.68 = $8.33
+5.99
=$41.67
The value of y varies directly with x, and when x = y = 25. What is the value of
HELP A GIRL OUT
Answer:
A 233.3 or 233 1/3
Step-by-step explanation:
X =1/4
Y =25
1/4 X 100= 25
2 1/3 X 100= 233.3
How many minutes should I spend on each question with a 75 question test and a 3 and a half hour time limit?
you should try to keep it under 5 minutes.
since there will be easier ones and harder ones, its ok to take up to 10 minutes on a test as long a you try to get the easy ones done first. if you can skip questions then go back to them later, do the hardest ones first thengo back and do the easier ones afterwards.
Try to take your time when you need to. if you get stuck, think about what it says. Try to think of it another way. You also want to get as much done as you can, this is because if you miss 5-10 questions, the grade could be seriously decreased, as you might have gotten a few other questions wrong.
Make sure to do a "QC" as I call it; or a "Quick Check." If it looks good and it's reasonable then you are fine to move on. it it doesnt look right, retrace your steps. Then rewrite it if you got something else on your next try for the QC.
I hope you do good!
May luck be with you!
I’m struggling with this question need some help
what is 55-22 asap I USED MY HANDS BUT -_-
Answer:
33 there you go
Step-by-step explanation:
What is the solution to the equation below?
How much lower is -124 than 2,194
Answer: -124 - 2,194= -2408
(I think this is right, but if not i'm sorry!)
Answer: 2318
Step-by-step explanation: 2194- (-124)=
2318
A cone has a height of 6 yards and a radius of 3 yards. What is its volume? Use 3.14 and round your answer to the nearest hundredth.
Answer:
V = 56.52
Step-by-step explanation:
Formiula
V = (1/3) * pi * r^2 * h
Givens
pi = 3.14
r = 3 yard
h = 6 yards
Solution
V = (1/3) * 3.14 * 3^2 * 6 Multiply 1/3 * 6
V = 2 * 3.14 * 9
V = 56.52
90 over 7 EndFraction divided by 1 and three-fourths
Answer:
7[tex]\frac{17}{49}[/tex]
Step-by-step explanation:
[tex]\frac{90}{7}[/tex]÷1 [tex]\frac{3}{4}[/tex]
= [tex]\frac{90}{7}[/tex]×[tex]\frac{7}{3}[/tex] ( keep change flip )
= [tex]\frac{360}{49}[/tex]
=7[tex]\frac{17}{49}[/tex]
Expand and fully simplify 3(x + 1) + 2(3x + 4)
Answer:
[tex]\Large\boxed{\sf{9x+11}}[/tex]Step-by-step explanation:
Given:
Isolate the term of x from one side of the equation.
Use the distributive property.
DISTRIBUTIVE PROPERTY:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
Each term within the parentheses can be multiplied by a factor outside the parentheses.
3(x+1)
3*x=3x
3*1=3
Rewrite the expression down.
3x+3
3x+3+2(3x+4)
Multiply expand.
2(3x+4)
2*3x=6x
2*4=8
6x+8
3x+3+6x+8
Combine like terms.
3x+6x+3+8
Add the numbers from left to right.
3+8=11
3x+6x+11
Add.
Solutions:
3x+6x=9x
[tex]\Longrightarrow: \boxed{\sf{9x+11}}[/tex]
Therefore, the final answer is 9x+11.I hope this helps. Let me know if you have any questions.
the sign below shows the length of a trail park 3 1/4miles what is the length , in feet of the trail
Answer: 17160 feet
Step-by-step explanation: Convert 3.25miles to feet. Multiply by 5280
A survey was done where boys and girls were asked if they would prefer to play inside or outside. The results of the survey are shown in the two-way frequency table.
Play inside Play outside
Boy 0.252 0.329
Girls 0.203 0.216
What percent of the boys surveyed prefer to play inside?
Enter your answer to the nearest tenth of a percent in the box.
%
Answer:
25.2% of the boys want to play inside
Step-by-step explanation:
Answer:
1/125 probability for each student so, a 0.8 percent probably of winning per student.
Step-by-step explanation:
find the mean weight of 3,2,26,9
Answer:
10
Step-by-step explanation:
Add all the numbers : 3+2+26+9 = 40
Divide the total with the number of data you have which is 4 so 40÷4= 10
how can i simplify 11 to the 6th power over 11 to the 4th power?
Answer:
11² = 121
Step-by-step explanation:
When you divide powers with the same base, subtract the exponents.
[tex] \dfrac{11^6}{11^4} = 11^{6 - 4} = 11^2 = 121 [/tex]
Answer:
121
Step-by-step explanation:
11 to the 6 power = 1771561
11 to the 4 power = 14641
1771561/14641 = 121
MATH
NATION
Which of the following statements are true? Select all that apply.
The correlation coefficient gives us information as to how strong the linear association is between two qualitative variables ?
Answer:
1,3
Step-by-step explanation:
|2x-5|=9 please awnser i need this for math
Answer:
7
Step-by-step explanation
2x = 14
divide by 2
Keith bought a tree for his backyard. The graph shows the height of the tree after a certain number of years.
A. At what rate is the tree growing?
B. Write an equation for the graph.
C. Is the graph proportional?
Answer:18
Step-by-step explanation:
Its is 18 caycausecause the arrow is pointing next to it
1
what are the solutions to the equation -5x2 + 3x = -9
Answer: Move terms to the left side−52+3=−9−5x2+3x=−9−52+3−(−9)=0−
Common factor−52+3+9=0−5x2+3x+9=0−(52−3−9)=0
Divide both sides by the same factor−(52−3−9)=0−(5x2−3x−9)=052−3−9=0
Solution=3±321 over 10
Step-by-step explanation:
Answer: 1/3 as an equation
Step-by-step explanation: file attached
HELP ASAP!!! Reflect the triangle across the dashed line and enter the new coordinates. Enter the number that belongs in the green box. ALL ANSWERS PLEASE!!! WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
The triangle is being reflected over the y-axis.
The rule for a reflection over the y-axis is (x, y) → (x, -y)This means that the x-values stay the same while the y-values change.A(x, y) → (x, -y)
A(1, 4) → (1, -4)
A'(1, -4)
B(x, y) → (x, -y)
B(4, 3) → (4, -3)
B'(4, -3)
C(x, y) → (x, -y)
C(2, 1) → (2, -1)
C'(2, -1)
Hope this helps!
A game show contestant has answered 37 out of 44 trivia questions correctly so far. Solve the
90
equation
100
-
37 + 1 to find the number of consecutive questions the contestant needs to answer correctly to
44 + y
raise the correct answer percentage to 90%
Answer:
The contestant needs to answer the next 26 consecutive questions correctly.
Step-by-step explanation:
[tex] \frac{37 + x}{44 + x} = \frac{9}{10} [/tex]
[tex]9(44 + x) = 10(37 + x)[/tex]
[tex]396 + 9x = 370 + 10x[/tex]
[tex]x = 26[/tex]
The contestant needs to answer the next 26 consecutive questions correctly.
What is proportion?Proportion is an equation that defines that the two given ratios are equivalent to each other.
In other words, the proportion states the equality of the two fractions or the ratios.
In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given that, a game show contestant has answered 37 out of 44 trivia questions correctly so far.
We need to solve an equation given to find the number of consecutive questions the contestant needs to answer correctly,
So, the equation is,
37+x / 44 + x = 90/100
37+x / 44 + x = 9/10
10(37+x) = 9(44+x)
370+10x = 396+9x
x = 26
Hence, the contestant needs to answer the next 26 consecutive questions correctly.
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M is the point (3, -3) and N is the point (7,5). P is a point on the line MN such that MP = 1/3MN. - (a) Find the position vector of P. (b) Calculate the magnitude of MN
Answer:
[tex]P=\left(\dfrac{13}{3},-\dfrac{1}{3}\right)[/tex]
[tex]|\overrightarrow{MN}|=4\sqrt{5}[/tex]
Step-by-step explanation:
Part (a)
[tex]x_P=\dfrac13(x_N-x_M)+x_M=\dfrac13(7-3)+3=\dfrac{13}{3}[/tex]
[tex]y_P=\dfrac13(y_N-y_M)+y_M=\dfrac13(5-(-3))+(-3)=-\dfrac13[/tex]
[tex]\implies P=\left(\dfrac{13}{3},-\dfrac{1}{3}\right)[/tex]
Part (b)
The magnitude of MN is the distance between points M and N.
Using the distance between two points formula, where
[tex](x_1,y_1)=(3,-3)[/tex] and [tex](x_2,y_2)=(7,5)[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\implies |\overrightarrow{MN}|=\sqrt{(7-3)^2+(5-(-3))^2}[/tex]
[tex]\implies |\overrightarrow{MN}|=4\sqrt{5}[/tex]