The exponential expression is [tex](9 + w)^7[/tex] and the simplified expression is [tex]4782969 + w^7[/tex].
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
The integer is given as 7.
The variable is given as w.
The sum of integer and variable needs to be raised to the power of 7.
The sum of integer and variable is -
(9 + w)
This expression needs to be raised to the power of 7.
The exponential expression is -
[tex](9 + w)^7[/tex]
On solving this expression -
[tex]9^7 + w^7\\4782969 + w^7[/tex]
Therefore, the simplified expression is [tex]4782969 + w^7[/tex].
To learn more about exponent from the given link
https://brainly.com/question/11975096
#SPJ1
Each soccer team has 15 players. Each player is either 9 or
10 years old. The green team has eleven 9-year-olds. The
ed team has twice as many 10-year-olds as the green
eam. How many 9-year-olds are on the red team?
Answer:
8
Step-by-step explanation:
The green team has 11 9-year-olds, so the red team has 2 * 11 = 22 10-year-olds.
Since each team has 15 players, the red team has 15 - 22 = -7 more 10-year-olds than the maximum number of players it can have.
Therefore, the red team must have 22 - 7 = 15 - 7 = 8 9-year-olds.
a factory produces 32 tables in an 8-hour day.Calculate how many tables are produced in 3 days
Answer: In an 8-hour day, the factory produces 32 tables. In 1 day, the factory produces 32 tables.
In 3 days, the factory will produce 3 days * 32 tables per day = 96 tables.
Step-by-step explanation:
what is 0.6 as a whole number
The number which correctly represents the decimal 0.6 as a whole number is; 1.
Which number represents 0.6 as a whole number?It follows from the task content that the number which correctly represents the number 0.6 as a whole number is to be determined.
Since the given number is 0.6. It follows that the closest whole number can be determined by rounding off to th nearest whole number.
Hence, by rounding off; we have; 1.
Read more on rounding off;
https://brainly.com/question/1620496
#SPJ1
A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week the organization purchased 25 blankets, 10 cots, and 5 lanterns for a total cost of $1275. The next week, at the same price, the organization purchased 5 blankets, 20 cots, and 5 lanterns for a total cost of $1425. The next week, at the same price, the
organization purchased 5 blankets, 30 cots, and 5 lanterns for a total cost of $1975. Find the cost of each item.
Step-by-step explanation:
here's your answer for your questions
Lana can knit one scarf in four days. Which graph shows the relationship between the number of scarves she can knit and the number of days?
A. N
B. O
C. P
D. Q
Answer:
OptionB. Graph O
Step-by-step explanation:
Graph O shows She knits one scarf every 4 days which means it is the correct Graph and option B will be the correct answer
Martha needs 28 strawberries for every 4 smoothies she makes.
Answer:
Step-by-step explanation:
If Martha needs 28 strawberries for every 4 smoothies she makes, then she needs 7 strawberries per smoothie.
Find the distance between the points on a number line. -5,-20 distance is
Answer:
15
Step-by-step explanation:
The distance can't be negative.
20-5=15
Which of the following tables represents a relation that is a function?
x y
−5 −3
−2 3
−1 1
3 4
3 −1
x y
−5 4
−2 4
0 −4
0 4
3 4
x y
−4 0
−2 2
0 3
2 0
3 4
x y
1 −4
1 −2
1 0
1 2
1 4
Find f’(x) for f(x)=4x^3-5x^2+7x-10
Answer: The derivative of f(x) = 4x^3 - 5x^2 + 7x - 10 is given by f'(x) = 12x^2 - 10x + 7.
Step-by-step explanation:
Kite FTWN is shown. Find the value of x
The value of x from the given kite is 254.
What is shape kite in geometry?In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
Given that, m∠N=53°, ∠T=67° and m∠F=(1/2 x-8)°
In kite the two angles are equal where the unequal sides meet.
So, m∠W=m∠F=(1/2 x-8)°
Now, m∠N+m∠T+m∠W+m∠F=360°
53°+67°+(1/2 x-8)°+(1/2 x-8)°=360°
120+x-16=360
x=360-104
x=254
Therefore, the value of x is 254.
Learn more about the kite here:
https://brainly.com/question/2918354.
#SPJ1
1. The point (2, 3, -4) is
(a) four units above the xy-plane (in the positive z-direction)
(b) four units below the xy-plane (in the negative z-direction).
(c) one unit from the origin.
Answer:
(b) four units below the xy-plane (in the negative z-direction).
How long would it take a falling rock with an acceleration of 9.81m/s² to reach the ground from a height of 100 meters?
The time it would take for the rock to reach the ground is given as follows:
3.19 seconds.
How to model the projectile's height?The quadratic equation that models a projectile's height is given as follows:
y = -9.81t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 0, h(0) = 100.
The rock reaches the ground when y = 0, hence:
9.81t² = 100
t = sqrt(100/9.81)
t = 3.19 seconds.
More can be learned about quadratic functions at https://brainly.com/question/1214333
#SPJ1
Function Mathematics
The analisis and interpretation of functions, its domain and its range, indicates the following conclusions:
Case 2 - a) Domain: - 15 ≤ x < 15, b) Range: - 200 ≤ y < 400, c) f(0) = 100, d) f(x) = 0, when x = - 5.
Case 3 - g(1) = 6, g(x) = 1 when x = - 2, g(x) = 2 when x = 0 or x = 4.
How to analyze and interpret functions
In this question we must answer two exercises on functions. In the second case we have the representation of a function on Cartesian plane, whose domain is the set of all values on horizontal axis and range is for vertical axis.
By direct inspection, we find the following information:
a) Domain
- 15 ≤ x < 15
b) Range
- 200 ≤ y < 400
c) f(0) = 100
d) f(x) = 0, when x = - 5
The third case includes a table with domain and range of a functions, this must be interpreted to fill the following blanks:
g(1) = 6
g(x) = 1 when x = - 2
g(x) = 2 when x = 0 or x = 4
To learn more on functions: https://brainly.com/question/12431044
#SPJ1
Scenario 2. A team of five laborers working in a garment factory in Indonesia
divides the task of making men's dress shirts for
export to the United States.
Each laborer works 10 hours a day, six days a week, and is paid the Indonesian
minimum wage of $2.50 per day. In one week, the team can make 500 shirts. The
company spends $10,000 each week to cover advertising, administration,
machinery, transportation, and other expenses. Each shirt sold for $40 in the
United States.
Based on the given data:
Total labor cost = $75Labor cost per shirt = $0.15Total revenue = $20,000Fixed cost = $10,000Total profit = $9,925Profit per shirt = $19.85If the company hire 5 workers in the US to do the same work with the same productivity, the total cost would be $12,175 (fixed cost and labor cost).
From the case, we know that:
Number of worker = 5
Indonesia minimum wage = $2.5 per day per worker
Working hour = 10 hours per day, 6 days per week
Number of shirt produced = 500 per week
Fixed cost = $10,000 per week
Shirt price = $40 per piece
Total labor cost = Number of worker x Minimum wage x working days per week
Total labor cost = 5 x $2.5 x 6
Total labor cost = $75
Labor cost per shirt = Total labor cost : number of shirt produced
Labor cost per shirt = $75 : 500
Labor cost per shirt = $0.15
Total revenue = Number of shirt produced x shirt price
Total revenue = 500 x $40
Total revenue = $20,000
Fixed cost = $10,000
Total profit = Total revenue - Total cost
Total profit = Total revenue - (Total labor cost + Fixed cost)
Total profit = $20,000 - ($75 + $10,000)
Total profit = $9,925
Profit per shirt = Total profit : Number of shirt produced
Profit per shirt = $9,925 : 500
Profit per shirt = $19.85
If the company hires 5 workers in the US to do the same work with the same production capacity and fixed cost, the total cost would be:
Total cost = Total labor cost + Fixed cost
Total cost = (Number of workers x US minimum wage x working hours per day x working days per week) + Fixed cost
Total cost = (5 x $7.25 x 10 x 6) + $10,000
Total cost = $2,175 + $10,000
Total cost = $12,175
Learn more about Total Profit and Total Revenue here: brainly.com/question/30495119
#SPJ1
The graph for Airplane A
shows the speed at which it travels as a function of time. The graph for Airplane B
shows the distance it travels as a function of time.
Use the drop-down menus to complete the statements below about the two airplanes.
Part A
: Describe the speed for each airplane from 0 to t1
Airplane A travels at a speed that is:
A) increasing
B) decreasing
C) 0
D) constant, but not 0
Airplane B travels at a speed that is:
A) increasing
B) decreasing
C) 0
D) constant, but not 0
Part B
: Describe the speed for each airplane from t1 to t2
Airplane A travels at a speed that is:
A) increasing
B) decreasing
C) 0
D) constant, but not 0
Airplane B travels at a speed that is:
A) increasing
B) decreasing
C) 0
D) constant, but not 0
The complete statement is given below.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
The graph for Airplane A shows the speed at which it travels as a function of time.
The graph for Airplane B shows the distance it travels as a function of time.
Part A:
From the graph,
the speed for each airplane from 0 to t₁:
Airplane A travels at a speed that is increasing.
Airplane B travels at a speed that is increasing.
Part B:
From the graph,
the speed for each airplane from t₁ to t₂:
Airplane A travels at a speed that is constant.
Airplane B travels at a speed that is constant.
Hence, the solutions are given above.
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ1
help is you can god bless!!!
Answer: sorry downbad for points god bless
Step-by-step explanation:
find the weighted average of a data set where 20 has a weight of 5, 30 has a weight of 3, and 40 has a weight of 2.
The weighted average of the data is 37.
What is math average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.
When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
the weighted average = ( 20 *3 + 30 *2 + 50*5 )/3+2+5
= 60 + 60 + 250/10
= 37
Thus, the weighted average of the data is 37.
Learn more about average
brainly.com/question/24057012
#SPJ4
please help me with the steps
Vertex angles. Please help me
For the given triangle the value of z = 1, y = 6, and x = 4.75.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The value of x,y, and z will be calculated by the property states that the ratio of the median line passing from the centroid of the triangle is divided into the ratio of 1: 2.
The value of x,
( 2x - 6 ) / 7 = 1 / 2
2 ( 2x - 6 ) = 7
4x - 12 = 7
4x = 19
x = 19 / 4
The value of y,
3 / y = 1 / 2
y = 3 x 2
y = 6
The value of z,
2z / 4 = 1 / 2
4z = 4
z = 1
Therefore, the values are z = 1, y = 6, and x = 4.75.
To know more about geometry follow
https://brainly.com/question/10606720
#SPJ1
I need help. Can someone tell me the correct answer.
Answer: Y-axis
Step-by-step explanation:
It is reflected across the y-axis , which cam be seem as it goes up
Answer: It's the Y-Axis
Step-by-step explanation:
the green triangle and the orange triangle are flipped from left and right, that means its on the y axis. if it was up and down it would be x axis.
35m / 5h = help please
The solution to the given values by reducing them to their lowest term is 7m/h
Reducing values of the lowest term.The reduction of the given values to the lowest term possible can be achieved by using the long division process. So, we set up the division problem in a long division format.
5 || 35
Divide 35 by 5 . Place this digit in the quotient on top of the division symbol.
7
5 || 35
Multiply the newest quotient digit (7) by the divisor 5.
7
5 || 35
35
Subtract 35 from 35.
7
5 || 35
35
0
The result of the division to the lowest term possible is 7 m/h.
Learn more about reducing values to the lowest terms:
https://brainly.com/question/233783
#SPJ1
A-6ft tall man notices his shadow is 3 feet long. At the same time of day, he measures the shadow of a nearby water tower and finds it to be 23.7 feet long. how tall is the water tower.
Answer:
Step-by-step explanation:
If 6/2 = 3 then x/2 = 23.7
Multiply 2 to both sides
then we get x=47.4
Which equation represents the graphed function?
The linear function graphed is defined as follows:
y = 3x/2 - 3.
(third option).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when the graph crosses the y-axis.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = -3.
When x increases by 2, y increases by 3, hence the slope m is given as follows:
m = 3/2.
Then the function is defined as follows:
y = 3x/2 - 3.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Describe the end behavior of f(x) = -x^4 + x^2 - x + 1
The end behavior of f(x) = -x^4 + x^2 - x + 1 is that it approaches negative infinity as x approaches both positive and negative infinity.
What is the end behavior of the function?The end behavior of a function refers to the limiting behavior of the function as x approaches positive infinity and negative infinity.
For the function f(x) = -x^4 + x^2 - x + 1, as x approaches positive infinity, the x^4 term dominates, and the value of the function approaches negative infinity.
As x approaches negative infinity, the x^4 term again dominates and the value of the function approaches negative infinity.
Therefore, the end behavior of f(x) = -x^4 + x^2 - x + 1 is that it approaches negative infinity as x approaches both positive and negative infinity.
learn more about end behavior of a function: https://brainly.com/question/12619590
#SPJ1
Assume that you can earn 6% on an investment, compounded daily. Which of the following options would yield the greatest balance after 8 years? (a) $20,000 now (b)$30,000 after 8 years (c) $8000 now and$20,000 after 4 years (d) $9000 now,$9000 after 4 years, and $9000 after 8 years
The option c yields the greatest balance after 8 years.
The formula for compounding Interest
n times a year :
[tex]A=P(1+\frac{r}{100n})^{nt}\\[/tex]
(a)
Investing $20,000 implies P=20000 and t=8,
interest is compounded daily, which means that n=365 r is given as 6%.
Substitute these values in the formula to get find balance after 8 years,
[tex]20000(1+\frac{6}{100*365})^{365*8}=$ $ 32320.21[/tex]
(b)
$ 30,000 after eight years, is the final balance. Because there is no time left to invest it,
(c)
We get $8000, which we can invest for 8 years,
and we will get $20,000 after 4 years which we can invest for 4 years.
final balance on the $ 8000 invested for 8 years can be found using the formula substitute p=8000, t=8 and r=6%, n=365.
[tex]8000(1+\frac{6}{100*365})^{365*8}=12928.09$[/tex]
final balance on the $ 20,000 invested for 4 years can be found using the formula P=20,000, t=4, and r=6, and n=365.
= 25424.58.
Under the option c, the final balance is 12928.09+25424.58=38352.57
(d)
under this option, we get $ 9000, which we can invest for 8 years.
we will again get 9000 after 4 years, which we can invest for four year,
we will again get
9000 after 8 years, for which we have not invested.
final balance on the 8000 invested for 8 years can be found using above formula p=9000, t=8 and r=6
=14544.1$
final balance of 9000 invest for four years is = 11441.02
total final balance = 34985.12$
Option c yields the greatest balance after 8 years.
learn more about compounding Interest ,
https://brainly.com/question/14295570
#SPJ4
(3x-2)^2 (2x-1) simplify
Answer:
[tex]18x^3-33x^2+20x-4[/tex]
Step-by-step explanation:
Given
[tex](3x-2)^2(2x-1)[/tex]
Lets simplify.
Rewrite [tex](3x-2)^2[/tex] as [tex](3x-2)(3x-2)[/tex].
[tex](3x-2)(3x-2)(2x-1)[/tex]
Expand using the FOIL method.
Apply the distributive property.
[tex]\left(3x(3x-2)-2(3x-2)\right)(2x-1)[/tex]
[tex](3x(3x)+3x*-2-2(3x-2))(2x-1)[/tex]
[tex](3x(3x)+3x*-2-2(3x)-2*-2)(2x-1)[/tex]
Rewrite using the commutative property and simplify.
[tex](3*3x*x+3x*-2-2(3x)-2*-2)(2x-1)[/tex]
[tex](3*3(x*x)+3x*-2-2(3x)-2*-2)(2x-1)[/tex]
[tex](3*3x^2+3x*-2-2(3x)-2*-2)(2x-1)[/tex]
[tex](9x^2+3x*-2-2(3x)-2*-2)(2x-1)[/tex]
[tex](9x^2-6x-2(3x)-2*-2)(2x-1)[/tex]
[tex](9x^2-6x-6x-2*-2)(2x-1)[/tex]
[tex](9x^2-6x-6x+4)(2x-1)[/tex]
[tex](9x^2-12x+4)(2x-1)[/tex]
Expand by multiplying each term in the first expression by each term in the second expression.
[tex]9x^2(2x)+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
Rewrite using the commutative property and simplify.
[tex]9*2x^2x+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
[tex]9*2(x*x^2)+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
[tex]9*2x^3+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
[tex]18x^3+9x^2*-1-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
[tex]18x^3-9x^2-12x(2x)-12x*-1+4(2x)+4*-1[/tex]
Rewrite using the commutative property and simplify.
[tex]18x^3-9x^2-12*2x*x-12x*-1+4(2x)+4*-1[/tex]
[tex]18x^3-9x^2-12*2x^2-12x*-1+4(2x)+4*-1[/tex]
[tex]18x^3-9x^2-24x^2-12x*-1+4(2x)+4*-1[/tex]
[tex]18x^3-9x^2-24x^2+12x+4(2x)+4*-1[/tex]
[tex]18x^3-9x^2-24x^2+12x+8x+4*-1[/tex]
[tex]18x^3-9x^2-24x^2+12x+8x-4[/tex]
Simplify by adding terms.
[tex]18x^3-33x^2+12x+8x-4[/tex]
[tex]18x^3-33x^2+20x-4[/tex]
Learn more about the FOIL Method here
https://brainly.com/question/25558606
A Programmer Erroneously Wrote An Expression As: 0 < X < 10. Rewrite The Expression Using Logical AND. Use Parentheses. (X > 0) ___
Rewritten the Expression Using Logical AND Parentheses as "(X > 0) AND (X < 10)"
What is the logical operator?
A logical operator is a symbol or keyword used in a programming language to perform a logical operation on one or more values.
The expression "0 < X < 10" is often misinterpreted as a range for a single variable X.
However, in most programming languages, this expression is considered an error because it does not explicitly state the logical relationship between the two inequalities.
To correct the expression, we use the logical operator AND to connect the two inequalities. The resulting expression, "(X > 0) AND (X < 10)", states that a variable X is within the desired range if it is greater than 0 and less than 10. The parentheses are used to make the expression clearer and to ensure that the logical operation is applied to the correct values.
Hence, "(X > 0) AND (X < 10)"
To learn more about logical operator, Visit
https://brainly.com/question/4692301
#SPJ4
please help asap i need to turn in in 10 mins
The probabilities are;
(a) 0.5648
(b) 0.3497
(c) 0.0855
What is the probability?The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
Given:
A table shows the smoking habits of college students.
a) If a student is chosen at random, the probability of getting someone who is a woman or a heavy smoker is,
= P(woman) + P(heavy smoker) - P(a woman and a heavy smoker)
= 213/386 + 10/386 - 5/386
= 0.5648 to 4 decimal places.
b) If two students are chosen at random without replacement, the probability of getting both who are non-smokers and a man is,
= P(non smoker and man)
= 135/386
= 0.34974093264
= 0.3497
c) If a student is chosen at random, the probability of getting someone who is a regular smoker given the person is a woman is,
= P( regular smoker and a woman)
= 33/386
= 0.08549222797
= 0.0855
Therefore, 0.0855 is the probability.
To learn more about the probability;
brainly.com/question/11234923
#SPJ9
tan(-20°) = _____.
-tan 20°
tan 20°
tan (-160°)
-tan 160°
tan(-20°) ≅ -0.364
What are trigonometric functions?Trigonometric functions are the functions which relates an angle of right-angled triangle to ratios of two sides of the triangle. It is a real function.
tan(-20°) = - tan(20°)
tan 20° = 0.363970234
tan 20°≅ 0.364
tan (-20°) = -tan 20° ≅ 0.364
Hence, tan(-20°)≅0.364.
Learn more about trigonometric functions here:
https://brainly.com/question/29156330
#SPJ1
0 31 32 33 34 14 of 34 question 14 question the distribution of the number of transactions per day at a certain automated teller machine (atm) is approximately normal with a mean of 80 transactions and a standard deviation of 10 transactions. which of the following represents the parameters of the distribution?
μ = 80, σ = 10 represents the parameters of the distribution. Parameters are the characteristics used to define a dataset.
A parameter in mathematics is an element that is transferred from one equation to another. In statistics, it has a different meaning. It's a value that provides information about a population as opposed to a statistic, which provides information about a relatively tiny portion of the population. Because everyone (or everything) was surveyed to determine the parameter, it never changes. For instance, you could be curious about what the average age is in your class. Perhaps you polled everyone and discovered that the median age was 25. That qualifies as a parameter because you polled the entire class. Imagine if you were curious about the average age of the students in your grade or year.
To learn more about parameters visit;
https://brainly.com/question/30044716
#SPJ4