Answer: negative infinity to positive infinity.
Step-by-step explanation:
Answer:
The domain of the function is negative infinity
to positive infinity because an exponent can be any real number.
Next, The range of the function is zero
to positive infinity because 4x is always positive.
Step-by-step explanation:
Edge test
Callie is comparing the costs of two options for her college education.
Option A: Complete the first two years of schooling at a community college and then transfer to a university.
Option B: Complete all four years of schooling at the university.
Community College Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$2,900
$800
Room & Board
$1,250
University Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$9,500
$10,000
Room & Board
Work-Study
$11,500
$2,000
Which statement about the cost of the options is true?
She would save $1,000 by choosing option B.
She would save $5,650 by choosing option A.
She would save $11,200 by choosing option B.
She would save $11,300 by choosing option A.
Answer:
Callie's comparison of two options for college education
The true statement is:
She would save $11,300 by choosing option A.
Step-by-step explanation:
Cost Analyses:
Option A: Community College + University Total Expenses
Tuition & Fees $5,800 ($2,900 x 2) + $19,000 ($9,500 x 2) = $24,800
Scholarships ($1,600) ($800 x 2) + ($20,000) ($10,000 x 2)=($21,600)
Room & Board $2,500 ($1,250 x 2) + $23,000 ($11,500 x 2) = $25,500
Work-Study + ($4,000) ($2,000 x 2) = ($4,000)
Total Cost $6,700 + $18,000 = $24,700
Option B: 4 years' University
Tuition & Fees $38,000 ($9,500 x 4)
Scholarships ($40,000) ($10,000 x 4)
Room & Board $46,000 ($11,500 x 4)
Work-Study ($8,000) ($2,000 x 4)
Total Cost $36,000
Difference between the two options = $11,300 ($36,000 - $24,700
Answer: She would save $11,300 by choosing option A
Step-by-step explanation:
Community College Financial Analysis:
Tuition and fees = 2900
Scholarship and grant = 800
Rooms and board = 1250
University Financial Analysis:
Tuition and fees = 9500
Scholarship and grant = 10000
Rooms and board = 11500
Work study - 2000
Option A :
First two years at college :2 × (2900 + 1250 - 800)
2 × (3350) = $6700
2 years at university : 2 × (9500 +11500 - 2000 - 10000)
2 × 9000 = 18000
Option A total = $(18,000 + 6700) = $24,700
Option B :
4 years at university : 4 × (9500 +11500 - 2000 - 10000)
4 × 9000 = $ 36000
She would be saving $(36,000 - 24,700) = $11,300 by choosing option A
A wall hanging is made of a circular piece of wood 24 inches in diameter. Angela wants to use wire to hang the wall hanging from a nail at point N. The wire will be tangent to the circle and attached at points P and Q. What is the total length of wire needed if the distance from the top of the circle (point R) to the nail is 10 inches? Round to the nearest inch.
Answer:
18 inches
OQ2 + PQ2 = OP2
PQ2 = OP2 - OQ2
= (OR + PR) SQUARE - OQ2
= (24/2 + 10 ) SQUARE - 24/12Square
= 22square - 12square
PQ = Root 340
= 18 inches...
The answer is 18 inches.
What is the total length of wire needed if the distance from the top of the circle (point R) to the nail is 10 inches?OQ2 + PQ2 = OP2
PQ2 = OP2 - OQ2
= (OR + PR) SQUARE - OQ2
= (24/2 + 10 ) SQUARE - 24/12Square
= 22² - 12²
PQ = √ 340
= 18 inches.
What is Problem Solving?
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Solve this problem
how far apart are these planes?
Answer:
9.433 miles
Step-by-step explanation:
c^2 = a^2 + b^2
The distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.
The distance between the planes ABC can be found using the Pythagorean theorem since the relationship between the sides AB, BC, and AC forms a right triangle. Given that AB is 5 miles, BC is 8 miles, and AC is the hypotenuse, the distance between the planes ABC can be calculated as follows:
[tex]$$ AC^2 = AB^2 + BC^2 $$[/tex]
Substitute the given values:
[tex]$$ AC^2 = 5^2 + 8^2 $$[/tex]
[tex]$$ AC^2 = 25 + 64 $$[/tex]
[tex]$$ AC^2 = 89 $$[/tex]
Therefore, the distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.
Two new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 22 mice, drug B is to be given to another 22 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse—whether drug A, drug B, or no drug.)
Answer:
The total number of ways of assignment is 314,790,828,599,338,321,972,833,000.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
In this case we need to determine the number of ways in which the drugs are assigned to each mouse.
It is provided that new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes.
Drug A is to be given to 22 mice.
Compute the number of ways to assign drug A to 22 mice as follows:
[tex]{60\choose 22}=\frac{60!}{22!(60-22)!}\\\\=\frac{60!}{22!\times 38!}\\\\=14154280149473100[/tex]
Now the remaining number if mice are: 60 - 22 = 38.
Compute the number of ways to assign drug B to 22 mice as follows:
[tex]{38\choose 22}=\frac{38!}{38!(38-22)!}\\\\=\frac{38!}{22!\times 16!}\\\\=22239974430[/tex]
Now the remaining number if mice are: 38 - 22 = 16.
Compute the number of ways to assign no drug to 16 mice as follows:
[tex]{16\choose 16}=\frac{16!}{16!(16-16)!}\\\\=1[/tex]
The total number of ways of assignment is:
[tex]N = {60\choose 22}\times {38\choose 22}\times {16\choose 16}\\\\=14154280149473100\times 22239974430\times 1\\\\=314,790,828,599,338,321,972,833,000[/tex]
Thus, the total number of ways of assignment is 314,790,828,599,338,321,972,833,000.
Final answer:
The number of ways to assign treatments to the mice can be found using combinations. The calculation involves selecting a certain number of mice from the total pool and dividing it by the number of ways to arrange those mice within the group. The total number of ways to assign treatments to the mice is approximately 10,682,514,784,300.
Explanation:
When assigning treatments to the mice, we have 22 mice for drug A, 22 mice for drug B, and 16 mice for the control group. The assignment of treatments can be thought of as distributing the mice among these three groups.
To find the number of ways this can be done, we can use the concept of combinations. We can think of selecting 22 mice for drug A from the total pool of 60 mice, and then selecting 22 mice for drug B from the remaining pool. The remaining 16 mice automatically go to the control group.
The number of ways to select 22 mice out of 60 is denoted as C(60,22) and is calculated using the formula C(n, r) = n! / (r!(n-r)!). Therefore, the number of ways to assign treatments to the mice is C(60,22) multiplied by the number of ways to assign the remaining 22 mice to drug B, which is C(38,22).
Using a calculator or software, we can calculate C(60,22) as approximately 95,023,780 and C(38,22) as approximately 112,385.
Therefore, the total number of ways to assign treatments to the mice is approximately 95,023,780 * 112,385 = 10,682,514,784,300.
EB. Which statement does
Statements
Rowena is proving that AD
the represent in her proof?
A
Reasons
1. given
1. AB
ED: BC
DC
2. given
2. 2 CAD * ZCEB
3. AB = ED; BC = DC
3. def. of
segments
4. AB + BC = AC
ED + DC
4. segment addition
postulate
11
11
substitution property
ED + DC
Ο ΔACDe ΔECB
AACD = AEFD
Ο ΔΑΕΒ = ΔEED
6. AC = CE
6. substitution property
7. AC = CE
7. def. of
segments
AAFB
AECB
202C
8. reflexive property
9. ASA
Answer:it’s ACD=ECB
Step-by-step explanation:
The correct option is Segment Addition Postulate.
What is similarity theorem?Similarity of triangles. The fundamental theorem of similarity states that a line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Here, we have,
The segment addition postulate states that where there are two points on a line A and C and a third point B can only be located on the line segment AB if and only if the the distances between point A and point B as well as the distance between point B and point C satisfy the equation AB + BC = AC
Therefore, given that in the figure, the point B is in between point A and point C on segment AC then AB + BC
Similarly, AD = AE + ED.
The correct option is Segment Addition Postulate.
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complete question:
BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. AA Similarity Postulate 6. AC AB = AD AE 6. Definition of Similar Triangles 7. AC = AB + BC, AD = AE + ED 7. ??? 8. AB + BC AB = AE + ED AE 8. Substitution 9. AB AB + BC AB = AE AE + ED AE 9. Addition 10. BC AB = ED AE 10. Subtraction Fill in the missing reason for the proof. A) Transitive Property B) Subtraction Property C) SSS Similarity Theorem D) Segment Addition Postulate
Bryan's mom spent $46.20 filling up her gas tank if her gas tank can hold 12 gallons of gas how much did each gallon cost
Answer: Each gallon costs $3.85
Step-by-step explanation:
We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:
$46.20 ÷ 12 = $3.85
Each gallon costs $3.85
I hope this helps!
Answer:
Each gallon costs $3.85
Step-by-step explanation: We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:$46.20 ÷ 12 = $3.85Each gallon costs $3.85I hope this helps!
What is the surface area of the cone? 17cm 10cm use 3.14 for pie
Sam purchases five goldfish and an aquarium with a rectangular
base. The aquarium measures twenty-four inches long, eight inches
wide, and nine inches tall. Sam fills the aquarium. How many cubic
inches of water are in Sam's aquarium?
Select one
0
1.449 cubic inches
1.728 cubic inches
0
2.112 cubic inches
0
920 cubic nches
0
Answer:
1728 cubic in
Step-by-step explanation:
24 in x 8 in x 9 in = 1728 cubic in
Final answer:
The volume of water in Sam's aquarium is 1,728 cubic inches, calculated by multiplying the length (24 inches), width (8 inches), and height (9 inches) of the aquarium.
Explanation:
The volume of Sam's aquarium can be calculated using the formula for the volume of a rectangular prism, which is length × width × height. The dimensions given are 24 inches long, 8 inches wide, and 9 inches tall.
To find out how many cubic inches of water the aquarium can hold, we multiply these dimensions:
× 24 inches (length)
× 8 inches (width)
× 9 inches (height)
Thus, the volume of the aquarium is:
24 inches × 8 inches × 9 inches = 1,728 cubic inches
Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:
A triangle has side lengths of 10, 11, and 15. What type of triangle is it?
Procedure:
102 ?? 112 + 152
100 ?? 121 + 225
100 < 346
Conclusion:
This triangle is an acute triangle.
Which statement best summarizes Ella’s work?
Ella’s procedure and conclusion are correct.
Ella’s procedure is correct, but her conclusion is incorrect.
Ella’s procedure is incorrect, but her conclusion is correct.
Ella’s procedure and conclusion are incorrect.
Answer:Ella's Procedure And Conclusion are incorrect
Step-by-step explanation:
Answer:
Ellas procedure and conclusion are incorrect
Step-by-step explanation:
What is a solution to the equation (x-2)(x+5)=18
Answer:
x= -7 x=3
Step-by-step explanation:
(x-2)(x+5)=18
FOIL
x^2 +5x -2x-10 = 18
Subtract 18 from each side
x^2 +5x -2x-10-18 = 18-18
x^2 +3x -28 =0
Factor
What 2 numbers multiply to -28 and add to 3
7*-4 = -28
7-4 =3
(x+7) (x-3) =0
Using the zero product property
x+7 =0 x-3 =0
x= -7 x=3
The expression -10y²+54y+36 represents the profits made by a company when it increases the price of the product by y dollars. Factor this expression to find the price increase that results in a profit of 0
Answer:
− 2( 5 y + 3 ) ( y − 6 )
Step-by-step explanation:
hope it helps
Área of panel 5ft by 16ft
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance between the mouse's holes is 6 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Answer:
5.7 meters
Step-by-step explanation:
The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.
c^2 = a^2 + b^2
6^2 = 2^2 +b^2
b^2 = 36 -4 = 32
b = √32 ≈ 5.7 . . . . meters
The kitchen is about 5.7 meters long.
The length of the kitchen, where a mouse has made holes in opposite corners with a diagonal distance of 6 meters across a width of 2 meters, is approximately 5.7 meters.
To find the length of the kitchen where a mouse has made holes in opposite corners, forming a diagonal of 6 meters across a width of 2 meters, we can use the Pythagorean theorem.
1. Understanding the problem:
- The width of the kitchen (distance between the holes along one side) is w = 2 meters.
- The diagonal distance (distance between the holes) is d = 6 meters.
2. Applying the Pythagorean theorem:
- In a rectangle, the diagonal d , the width w, and the length l form a right triangle.
- The Pythagorean theorem states [tex]\( d^2 = w^2 + l^2 \)[/tex].
3. Substitute the given values:
[tex]\[ 6^2 = 2^2 + l^2 \][/tex]
[tex]\[ 36 = 4 + l^2 \][/tex]
4. Solve for [tex]\( l^2 \)[/tex] :
[tex]\[ l^2 = 36 - 4 \][/tex]
[tex]\[ l^2 = 32 \][/tex]
5. Find l (length of the kitchen):
[tex]\[ l = \sqrt{32} \][/tex]
[tex]\[ l \approx 5.7 \text{ meters (rounded to the nearest tenth)} \][/tex]
Therefore, the length of the kitchen is approximately [tex]\( \boxed{5.7} \)[/tex]meters.
The length of the kitchen, rounded to the nearest tenth, where a mouse has made holes in opposite corners with a diagonal distance of 6 meters across a width of 2 meters, is [tex]\( \boxed{5.7} \)[/tex] meters. This solution utilizes the Pythagorean theorem to determine the missing dimension of the rectangle based on given measurements.
which shows the numbers from greatest to least? 9.5 9 3/8 9.125 9 3/4
Answer:
I think the answer is 9 3/4, 9.5, 9 3/8, 9.125
Michael invests $2000 in an annuity that offers an interest rate of 4%
compounded quarterly for 5 years. What is the value of Michael's investment
after 5 years?
The future value of Michael's investment after 5 years is $44,038.01.
The future value of an annuity can be determined using the following formula:
[tex]FV=PV(1+r/n)^{n}[/tex]
FV = future value
PV = present value
r = annual interest rate
n = number of periods interest held
We can also compute the future value using an online finance calculator as follows:
N (# of periods) = 20 quarters (5 years x 4)
I/Y (Interest per year) = 4%
PV (Present Value) = $2,000
PMT (Periodic Payment) = $0
Results:
FV = $2,440.38
Total Interest = $440.38
Thus, the value of Michael's investment after 5 years is $2,440.38.
If anyone could answer this for me I would very much appreciate it
Answer:
a3 = 45
Step-by-step explanation:
a1 = 20
an = a(n-1) *3/2 where n is the term number
a2 = a(2-1) *3/2
a1 *3/2
We know a1 = 20
a2 = 20*3/2 = 30
a3 = a(3-1) *3/2
= a2 *3/2
We know a2 = 30
= 30*3/2 = 45
According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases. An economics professor believes that fewer college students would favor deficit reduction through spending cuts only. The professor surveys 500 college students and finds that 75 of them favor reducing the deficit using only spending cuts. What is the test statistic?
Answer:
The test statistic is [tex]t = -62.5[/tex]
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 0.2*500 = 100[/tex]
The alternate hypotesis is:
[tex]H_{1} < 0.2*500 < 100[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
In this problem:
[tex]X = 75, \mu = 100, \sigma = \sqrt{500*0.8*0.2} = 8.94, n = 500[/tex]
So
[tex]t = \frac{75 - 100}{\frac{8.94}{\sqrt{500}}}[/tex]
[tex]t = -62.5[/tex]
The test statistic is [tex]t = -62.5[/tex]
Answer:
[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]
Step-by-step explanation:
Data given by the problem
n=500 represent the random sample taken
X=75 represent the students in favor to reducing the deficit using only spending cuts
[tex]\hat p=\frac{75}{500}=0.15[/tex] estimated proportion of favor to reducing the deficit using only spending cuts
[tex]p_o=0.2[/tex] is the value that we want to check
z would represent the statistic
System of hypothesis
We want to cehck if the true proportion of students in favor to reducing the deficit using only spending cuts is less than 0.2.:
Null hypothesis:[tex]p\geq 0.2[/tex]
Alternative hypothesis:[tex]p < 0.2[/tex]
The statistic for this case is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info provided we got:
[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]
The number of fish caught by a fisherman was increased by 35% to 1080. What was the number of fish caught by the fisherman before the increase?
Answer:
800
Step-by-step explanation:
1.35x = 1080 -->
x = 1080/1.35 -->
800
Using intervals of width 10, how many intervals
are needed for this graph to be drawn correctly?
O 5 or fewer
O between 6 and 10
O between 11 and 19
0 25 or more
DONE
saaled
Answer:D
Step-by-step explanation:
g An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 4.8 pounds/square inch (psi). Assume the population variance is 0.36. If the valve was designed to produce a mean pressure of 4.9 psi, is there sufficient evidence at the 0.1 level that the valve performs below the specifications
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 4.9
For the alternative hypothesis,
µ < 4.9
This is a left tailed test.
If the population variance is 0.36, the population standard deviation would be √0.36 = 0.6 psi
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 4.9
x = 4.8
σ = 0.6
n = 210
z = (4.8 - 4.9)/(0.6/√210) = - 2.42
Looking at the normal distribution table, the probability corresponding to the z score is 0.0078
Since alpha, 0.1 > than the p value, 0.0078, then we would reject the null hypothesis. Therefore, there is sufficient evidence at the 0.1 level that the valve performs below the specifications.
What is the difference between a measure of center and a measure of variability?
Answer:
Step-by-step explanation:
The measure of center of a group of data is a single central value such as the mean and the median.
The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.
The measure of variability gives an indication of the spread of the data about the mean. Examples are the Standard Deviation and the Interquartile Range.
Explaining the difference between a measure of center and a measure of variability.
What is the measure?The measure is an estimate or assesses the extent, quality, value, or effect of (something).
Determining:The measure of the center of a group of data is a single central value such as the mean and the median.
The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.
The measure of variability gives an indication of the spread of the data about the mean. Examples are the Standard Deviation and the Interquartile Range.
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To pass science, a student must earn at least a grade of 70. How many students failed this science class? A histogram titled Science Grades has grades on the x-axis and number of students on the y-axis. 2 students received a score of 50 to 59; 5 students received a score of 60 to 69; 8 students received a score of 70 to 79; 5 students received a score of 80 to 89; 2 students received a score of 90 to 100.
Answer:
7 students
Step-by-step explanation:
Answer:
the answer is 7 people
Step-by-step explanation:
have a great day!
Which of the following statements is true?
O A) The number 135 is not divisible by 3 or 5.
OB) The number 135 is divisible by 3, 5 and 9.
OC) The number 135 is divisible by 3 and 5, but not by 9.
OD) The number 135 is divisible by 3 and 9, but not by 5.
Answer:
B)
Step-by-step explanation:
If you try to divide 135 with each number,every number is divisible by 135 XD
What percent of 2.5 is 0.2?
Answer:
8
Step-by-step explanation:
0.2:2.5*100 =
( 0.2*100):2.5 =
20:2.5 = 8
Gio is solving the quadratic equation by completing the square. 5x2 + 15x – 4 = 0 What should Gio do first?
Answer: add 4 on both sides
Step-by-step explanation:
Answer:
Isolate the constant
Step-by-step explanation:
i just took it on edge A
What is the coefficient of x2 in this trinomial?
(x+2) (x+3)
A. 2
B. 0
C. 1
D. 3
Answer:1
Step-by-step explanation:
(x+2)(x+3)
x^2+3x+2x+6
x^2+5x+6
Therefore the coefficient of x^2 is 1
Answer:
1
Step-by-step explanation:
(x+2) (x+3)
FOIL
x^2 + 3x+2x+6
x^2 +5x+6
The coefficient of x^2 is 1
Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below. Step 1 Find the radius. radius = StartFraction 6 Over 2 EndFraction = 3 centimeters Step 2 Find the area of the base. Area of base = Pi (3) squared = 9 pi centimeters squared Step 3 Multiply the area of the base by the height. 9 pi times 6 = 54 centimeters cubed Step 4 Divide 54 by 3 to find the volume of the cone. Volume of the cone = StartFraction 54 Over 3 EndFraction = 18 centimeters cubed What was Ahmed’s first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared.
Ahmed's first error was in step 3 where he failed to express 54 in terms of π.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
We have,
Diameter = 6 cm
1. Radius = diameter/2
= 6/2
= 3cm
2. Area of base = π × 3²
= 9π cm²
3. Multiply the area of the base by the height
= 9π x 6
= 54π cm³
4. Divide 54π by 3 to find the volume of the cone
= 54π/3
= 18π cm³
So, the volume of the cone is 18π cm³.
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A(n)__________function will MULTIPLY the same number each time.
A. Exponential
B. Neither
C. Linear
The true statement is an exponential function will MULTIPLY the same number each time.
How to determine the complete statementA linear function is represented as:
y = mx + b
An exponential function is represented as:
[tex]y = ab^x[/tex]
The factor [tex]b^x[/tex] means that the number b is multiplied by itself x times
Hence, the word that completes the blank is (a) exponential
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Exponential functions multiply a constant number each time to show growth or decay.
Explanation:Exponential functions will multiply the same number each time. They model exponential growth or decay where the value increases or decreases at a constant rate over time.
For example, if you multiply 2 by itself multiple times: 2^1, 2^2, 2^3, the result will keep growing exponentially.
In math, exponential functions are denoted as f(x) = a*b^x, where 'b' is the constant multiplied each time for growth or decay.
Which graph is an example of a cubic function?
Answer:
B graph 2
Step-by-step explanation:
Sarah spent $15.75 at the movies on a ticket and snacks. Then she earned $40 babysitting, and bought a book for $9.50. Sarah has $34.75 left. How much money did she start with?
Answer:
Sarah spent $15.75 at the movies on a ticket and snacks.
She earned $40 babysitting.
She bought a book for $9.50.
She has $34.75 left.
=> The amount of money she started with:
A = 34.75 + 9.5 - 40 + 15.75 = 20$
Hope this helps!
:)