120 is the simple interest owed for the use of the money.
What does the phrase "simple interest" mean?
From the time when money was first lent until the time that it should be paid back with interest, this time frame is considered the borrowing period. The term or deadline for this is also an option. A percentage of the principle is how interest is most commonly computed.
P = $2000, r = 6%, t = 1 year
simple interest = P * r * t/100
= 2000 * 6 * 1/100
= 120
Learn more about simple interest
brainly.com/question/25845758
#SPJ1
The simple interest owed for the use of the money is $120.
What is simple interest?Simple interest is the interest charge on a loan calculated using only the original principal amount and a fixed interest rate. It does not use compounding, which causes borrowers to pay interest on principal and interest that accumulates over numerous payment periods.
The simple interest formula is as follows:
SI = P * r * t
where I denotes simple interest, P denotes principal, r denotes interest rate (in decimal), and t denotes time period (in years).
When we substitute the provided values, we get:
SI = $2000 * 0.06 * 1
SI = $120
As a result, the simple interest for the usage of the money is $120.
Learn more about simple interest here;
https://brainly.com/question/25845758
#SPJ1
The following table shows some data from a study on substance use among 10th graders in the United States and Europe.
Smoked Cigarettes
X
X
x + y
у
U.S.
Europe
Total
x + y
X
z+w
+ w
+ w
(a) The table leads to a linear system of four equations in four unknowns. What is the system?
x + y
-13,000
95,000
64,210
108,000
-13,000
+ w 95,000
z+w= 64,210
+w=108,000
+ w =
z+w= 64,210
x+y+z+w=108,000
13,000
95,000
= 13,000
z+w= 95,000
y + w = 64,210
x+y+z+w= 108,000
(x, y, z, w) =
Does it have a unique solution?
Cigarette-Free
Y
W
64,210
This system has a finite number of solutions.
This system has one solution.
This system has no solution.
This system has infinitely many solutions.
Totals
13,000
95,000
108,000
What does this indicate about the missing data?
The given data is sufficient to obtain the missing data (x, y, z and w).
The given data is insufficient to obtain the missing data (x, y, z and w).
(b) Given that 40,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
-(C
This system has a unique solution, which can be found using standard methods of linear algebra
The missing data is:
x = -2,895
y = 37,315
z = 76,210
w = 15,895
2w = 31,790
How to explain the equationSubstituting w into the second and third equations, we get:
x = -2,895
y = 37,315
Finally, we can use the fourth equation to solve for z:
z + 2(15,895) = 108,000
z = 76,210
Therefore, the missing data is:
x = -2,895
y = 37,315
z = 76,210
w = 15,895
Learn more about equations on
https://brainly.com/question/2972832
#SPJ1
PLEASE HELP ME, WHOEVER DOES IS THE BRAINLIEST!!
The set of ordered pairs below represents a relation that is a function.
{ (-2,8), (4,6), (10,4) }
Which point, when added to the set, would form a relation that is NOT a function?
A. (0.6)
B. (4,2)
C. (-6,8)
D. (-8,10)
Answer:
Option B. (4,2), when added to the set would form a relation that is NOT a function because there would be two different outputs (6 and 2) for the same input (4). In a function, each input can only have one output.
Part A
Angela purchased sunglasses and a sweatshirt and was charged an additional 6% sales tax for both items. What was the total price Angela paid for her items at the store? Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided. You may use the drawing tool to add a drawing to help explain and/or support your answer.
Part B
On a certain Saturday, the store advertised a store-wide sale of 15% off all items. What was the advertised sale price of the shoes that day at the store, before sales tax? Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided. You may use the drawing tool to add a drawing to help explain and/or support your answer.
A. We can see here that the total price Angela paid for her items at the store is: $42.40.
B. The advertised sale price of the shoes that day at the store, before sales tax is $42.50
How we arrived to the solution?A. We can find the total price Angela paid in the following way:
For the sunglasses:
6% of $15 = 0.06 x $15 = $0.90
Tax paid for sunglasses = $0.90.
For the sweatshirt:
6% of $25 = 0.06 x $25 = $1.50.
Tax paid for sweatshirt = $1.50.
So, we can see here that:
Total price = price of sunglasses + price of sweatshirt + sales tax on both items
Total price = $15 + $25 + $0.90 + $1.50
Total price = $42.40
B. We can find the discount on the shoes as follows:
Discount = 15% of $50 = 0.15 x $50 = $7.50
Therefore, the discounted price of the shoes is:
Discounted Price = Original Price - Discount = $50 - $7.50 = $42.50
Thus, the advertised sale price of the shoes that day at the store, before sales tax = $42.50.
Learn more about sales tax on https://brainly.com/question/30109497
#SPJ1
Select the correct answer. Which graph represents this equation? y = 3 2 x 2 − 6 x A. The graph shows an upward parabola with vertex (minus 3, minus 4.5) and passes through (minus 7, 3.5), (minus 6, 0), (0, 0), and (1, 3.5) B. The graph shows an upward parabola with vertex (minus 2, minus 6) and passes through (minus 5, 7), (minus 4, 0), (0, 0), and (1, 7) C. The graph shows an upward parabola with vertex (3, minus 4.5) and passes through (minus 1, 3.5), (0, 0), (6, 0), and (7, 3.5) D. The graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7)
The graph that represents the equation y = 3/2x² - 6x is
B. The graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7)
Since, The shape of a quadratic function's graph. is a U-shaped curve,
The graph's vertex, which is an extreme point, is one of its key characteristics.
The vertex, or lowest point on the graph or minimal value of the quadratic function, is where the parabola will open up.
The vertex is the highest point on the graph or the maximum value if the parabola opens downward.
In the problem the graph opens up and points are plotted and attached, the graph shows that option is the correct choice.
Learn more about quadratic equation:
brainly.com/question/1214333
#SPJ1
12. Which equation represents
3 × 3/5 as a multiple of a unit fraction?
A) 9 x 2/5
B) 3 x 1/5
C) 6 x 1/5
D) 9 x 1/5
D) 3 x 3/5 = 9 x 1/5 represents the LHS as a multiple of the unit fraction.
A) the fraction 2/5 s not a unit fraction
B) 3 x 3/5 [tex]\neq[/tex] 3 x 1/5
C) 3 x 3/5 [tex]\neq[/tex] 6 x 1/5
D) 3 x 3/5 = 9 x 1/5
What is a unit fractionA unit in measurement, is the smallest fundamental measure, in terms of which all other measurements are given. By a unit fraction, we mean a simple fraction, such that every other fraction in a certain class of fractions can be represented as an integer multiple of that fraction. The point to note is that every other fraction in the group should be an integer multiple of the unit fraction.
To know more about use of units, visit:
https://brainly.com/question/29168528
#SPJ1
Required equation represents
3 × 3/5 as a multiple of a unit fraction is 9 x 1/5.
To multiply a whole number by a fraction, you can convert the whole number to a fraction with a denominator of 1. So, 3 can be written as 3/1.
Now, to multiply 3/1 by 3/5, you can multiply the numerators (top numbers) together and the denominators (bottom numbers) together separately:
3/1 × 3/5 = (3 × 3) / (1 × 5)
Simplifying the numerator and denominator gives 9/5
To write this as a multiple of a unit fraction (a fraction with a numerator of 1), you need to rewrite 5 as a product of 1 and another number (in other words, find a denominator that is a multiple of 5):
5 = 1 × 5
Then, you can write 9/5 as:
9/5 = (9/1) × (1/5)
So, the equation that represents 3 × 3/5 as a multiple of a unit fraction is:
3 × 3/5 = 9 x 1/5
So, the correct option is D) 9 x 1/5.
Learn more about equation here,
https://brainly.com/question/1214333
#SPJ1
Three people, Manuel, Khady, and Zoe, are standing on a field kicking a ball to each other. Manuel is 15 ft from Khady and 20 ft from Zoe, Khady is 30ft from Zoe. What is the area, to the nearest ft^2, of the shape they create in their formation?
The area of the shape they create is approximately 247 square feet.
We have,
Let's assume that Manuel is at point M, Khady is at point K, and Zoe is at point Z.
We can connect these points to form a triangle:
Z
/ \
/ \
20 / \ 30
/ \
/ \
M-----------K
15
T
o find the area of the triangle MKZ, we can use Heron's formula:
s = (a + b + c) / 2,
where a, b, and c are the lengths of the sides of the triangle
A = √(s(s - a)(s - b)(s - c)),
where A is the area of the triangle
In our case,
The sides of the triangle are:
a = 15 (MK)
b = 20 (MZ)
c = 30 (KZ)
We can use these values to calculate the area of the triangle:
s = (a + b + c) / 2 = (15 + 20 + 30) / 2 = 32.5
A = √(s(s - a)(s - b)(s - c)) = √(32.5(32.5 - 15)(32.5 - 20)(32.5 - 30)) = 247.2
Therefore,
The area of the shape they create is approximately 247 square feet.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
The solution to a system of two linear equations is x = 3; y = 9.
How could the intersection of the graphs of the two equations be located on a coordinate grid?!
What does the solution to a system of two linear equations mean on the graph?!
Can you have more than one solution to a Linear system of equations?
Can you have exactly two solutions to a Linear system of equations?!
Can you have no solutions to a Linear system of equations?
The solutions to the questions are provided below
How could the intersection of the graphs be located?The intersection is the point where the lines of the graph intersect
What does the solution mean?The solution to the system of two linear equations x = 3; y = 9 means that the lines intersect at (3, 9)
Can you have more than one solution?No, you cannot have more than one solutions
Can you have exactly two solutionsNo, you cannot have exactly two solutions
Can you have no solutionsYes, you can have no solutions
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
6
10
Complete the statements about the cone.
The height is
units.
The radius is
units.
The volume is
r cubic units.
The radius of the cone is 8 unit
The volume of the cone is 401.92 cubic unit.
What is volume?
Volume is the shape occupied by a solid shape.
To calculate the volume of the cone, we need to first find the radius of the base of the cone
(a) Radius (r) = √(l²-h²)................. Equation 1
Where:
h = Height of the cone = 6l = Slight height of the cone = 10Substitute these values into equation 1
r = √(10²-6²)r = √(100-36)r = √64r = 8Finally, to calculate the volume of the cone, we use the formula below
V = πr²h/3................. Equation 2Given:
r = 8h = 6π = 3.14Substitute these values into equation 2
V = 3.14×8²×6/3V = 401.92 cubic unitLearn more about volume here: https://brainly.com/question/1972490
#SPJ1
A new drug is released to market and it has been determined that the drug is responsible for causing hypertension among those individuals who take the drug. If 30,276 individuals were prescribed the drug in its first year on the market and 17,620 individuals developed hypertension, what is the point prevalence of hypertension among those individuals prescribed the drug, after the drug's first year on the market?
1. 0.00582
2. 5.82000
3. 58200
4. 0.05820
an employee is looking for a house to rent near their office. They gather the data on many similar houses. The scatter plot shows the monthly rent of the houses, in dollars, and the distance of the houses from their office, in kilometers
Answer:
Step-by-step explanation: its a negative nonlinear interger.
Pls help. Find length of similar triangles.
The value of the unknown length, x, for the similar triangles shown above is calculated as: 25.2 m.
How to Find Unknown Length of Similar Triangles?To find the length of x in the image showing similar triangles, recall that the corresponding lengths of the sides of similar triangles are proportional to each other.
Thus, we have the following proportion:
14.4 / 6 = x / 10.5
Cross multiply:
6 * x = 14.4 * 10.5
6x = 151.2
Divide both sides by 6:
6x/6 = 151.2/6
x = 25.2 m
Learn more about similar triangles on:
https://brainly.com/question/27996834
#SPJ1
do you know the answer?
The expression for the inequality equation is -2 ≤ x ≤ 2
Given data ,
Let the number line be represented as A
Now , the value of A is
The number -2 and 2 are marked as colored bubbles in the line
So , the inequality states that the marked bubbles is also the solution to the relation and these numbers will be included
And , the inequality relation is given by -2 ≤ x ≤ 2
Hence , the inequality is -2 ≤ x ≤ 2
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
Without using a calculator, match each expression to the correct point.
f
de
←++ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
-5
-3
Point Expression
3
2
d
e
-4
f
-√8
-π
-2
-1
+
0
Answer:
d is at -π (just to the left of -3 since -π<-3), e is at -√8 (just to the right of -3 since -√8>-3), and f is at -3/2 = -1.5 (halfway between -2 and -1).
dy
How many fish (angelfish and eels) are there?
Number of Animals
25
20
15
10
5
Practice: Solve Problems Using Scaled Bar Graphs-
0
Science Museum Water Exhibit
Snakes Turtles Angelfish
Animal
Eels
Based on the bar chart, there are 5 eels fewer that Angelfish.
How is this so?The bar chart shows that there is a total of 25 Angelfish and 20 Eels.
To the difference between both is
25-20= 5 Thus, based on the information presented n the bar chart, there are 5 eels fewer than Angelfish.
A bar chart is used to display a distribution of data points or to compare metric values across different subgroups of your data.
A bar chart shows which groups are highest or most prevalent, as well as how other groups compare to one another.
Learn more about bar chat:
https://brainly.com/question/24741444
#SPJ1
Full question:
See attached graph.
Please help solve these
The value of ∅ in the given triangles in the diagram above would be given below;
1.) ∅ = 39°
2.) ∅ = 30°
3.) ∅ = 59°
How to determine the missing values in the triangle given above?To determine the missing values given above, the sin rule needs to be obeyed.
That is;
a/sinA = b/sinB
For question 1.)
a= 18
A = 90°
b= 8√2
B= ∅
That is;
18/sin90 = 8√2/sin∅
sin∅ = 8√2/18
=11.31370849/18
= 0.628539360
∅ = sin-1 (0.628539360)
= 38.9
= 39°
For question 2.)
a/sinA = b/sinB
a= 15
A = 90°
b= 2√14
B= ∅
That is;
15/sin90° = 2√14/sin∅
sin∅ = 2√14/15
= 7.483314773/15
= 0.498887651
∅ = sin-1(0.498887651)
= 29.9 = 30°
For question 3.)
a/sinA = b/sinB
a= 35
A = 90°
b= 30
B= ∅
35/sin90 = 30/sin∅
Sin∅ = 30/35
= 0.857142857
∅ = Sin-1(0.857142857)
= 58.9 = 59°
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
Practice Jeremy's scores for the first 20 times he played the card game, Clubs and Swords, are listed. 50, 199, 246, 356, 89, 210, 391, 325, 273, 260, 100, 172, 123, 167, 194, 172, 23, 426, 75, 239 Click here if you need a hint on the Practice questions. 11: 1. Create a frequency table and a histogram to display Jeremy's scores. Be sure to name your histogram. 2. Add a column for relative frequency to the table that you created in Question 1. 3. Describe the distribution of the data. Include any specific graphical features or patterns. Explain what your answer means in terms of Jeremy's scores. 4. Create a second frequency table and histogram to provide a different view of the data distribution.
Step-by-step explanation:
1. Frequency Table:
| Score Range | Tally | Frequency |
|-------------|-------|-----------|
| 0-50 | | 2 |
| 51-100 | | 2 |
| 101-150 | | 3 |
| 151-200 | | 3 |
| 201-250 | | 2 |
| 251-300 | | 2 |
| 301-350 | | 2 |
| 351-400 | | 4 |
Histogram:
![Histogram of Jeremy's Scores]
2. Frequency Table with Relative Frequency:
| Score Range | Tally | Frequency | Relative Frequency |
|-------------|-------|-----------|-------------------|
| 0-50 | || 2 | 0.10 |
| 51-100 | || 2 | 0.10 |
| 101-150 | || 3 | 0.15 |
| 151-200 | || 3 | 0.15 |
| 201-250 | || 2 | 0.10 |
| 251-300 | || 2 | 0.10 |
| 301-350 | || 2 | 0.10 |
| 351-400 | || 4 | 0.20 |
3. The distribution of Jeremy's scores is relatively symmetrical with a slight left skew, as evidenced by the histogram. The data appears to be clustered around the middle range, between 100 and 300 points, with a few outliers on either end. This means that Jeremy's scores are generally consistent, but he has had some particularly good and bad games.
4. Frequency Table:
| Score Range | Tally | Frequency |
|-------------|-------|-----------|
| 0-50 | || 2 |
| 51-100 | || 2 |
| 101-150 | | 2 |
| 151-200 | | 1 |
| 201-250 | | 2 |
| 251-300 | | 3 |
| 301-350 | | 3 |
| 351-400 | || 5 |
Histogram:
![Histogram of Jeremy's Scores
Note: The alternate histogram has smaller bin sizes and shows more detail in the middle range of scores.
Find the measurement of Q using a trig
ratio
Answer:
Step-by-step explanation:
x2et
Slope of (-12,0) and (-12,9)
The slope of the line passing through the points (-12, 0) and (-12, 9) is
The given points that the line passes through are (-12, 0) and (-12, 9).
Since the x coordinates are same, the line will be parallel to the Y axis.
That is the line will be perpendicular to the X axis and thus slope is not defined.
If a line passes through two points (x, y) and (x', y'), then the slope of the line can be calculated as,
Slope = (y' - y) / (x' - x)
Here the line passes through the points (-12, 0) and (-12, 9).
We have to find the slope of the line.
Slope = (9 - 0) / (-12 - -12) = 9/0 = Not defined
Hence the slope is not defined.
Learn more about Slope here :
https://brainly.com/question/3605446
#SPJ1
What are the solutions to the quadratic equation below?
-8x+16=11
A. x=8±2√11
O B. x = 4± √11
O
C. x = -8±2√11
D. x=-4± √11
SUBIT
The solution to the quadratic equation is x = -4 ± 2√11. Option D
How to determine the solutionUsing the quadratic formula, we have;
x = -b ± [tex]\sqrt{\frac{b^2 - 4ac}{2a }[/tex]
From the information given, we have that;
ax + bx + c = 0
Then,
-8x²+16=11
In standard formula
-8x²+16 - 11 = 0
Substitute the values
x = -(16) ± [tex]\sqrt[2]{\frac{-(16) + 4 * -8 *-11}{2*-8} }[/tex]
Multiply the values, we get;
x = -16± [tex]\sqrt{\frac{-16 + 352}{-16} }[/tex]
Add the values
x = -16 ± √336/-16
x = -4 ± √84/4
x = -4± √21
x = -4 ± 2√11
Learn about quadratic equations at: https://brainly.com/question/1214333
#SPJ1
9.
50
65°
X= ? Set up an equation and show all work to solve. Round final answers to the nearest hundredth.
The value of x is approximately 21.45 units.
How to find value of x ?To solve for the length of x, we can use trigonometric ratios.
First, we can use the fact that angle B is 90 degrees to find the value of angle A:
angle A = 180 - angle B - angle C
angle A = 180 - 90 - 65
angle A = 25 degrees
Then, we can utilize the mathematical proportion of the sine capability to track down the worth of x
sin A = opposite / hypotenuse
sin 25 = AC / 50
AC = 50 * sin 25
AC ≈ 21.45
x=21.45
Accordingly, the worth of x is around 21.45 units.
know more about trigonometry visit :
https://brainly.com/question/12068045
#SPJ1
Add the quotient of 120 and 60 To the quotient of 72 and 9.
Answer:
10
Step-by-step explanation:
the quotient is the result of division , that is
120 ÷ 60 = 2
72 ÷ 9 = 8
then sum of quotients = 2 + 8 = 10
maths question, been stuck on for ages
Answer:
14.4
Step-by-step explanation:
1) 16^2-7^2=207
2) square root of 207 is 14.4 (to 1 decimal place).
A random variable is normally distributed with mean 35.5 and standard deviation 16.9. What value is 3 standard deviations below the mean?
-15.2
I use the ai and calculated the answer.
your salary is 29000 and you receive 125 interest from an investment account. what is your after tax return on the investment
Your after - tax return on the investment is 0.61 %.
To find after-tax return on investment, we have to know the tax rate. Assume you have a 30 % tax rate.
Total income from the salary and interest from an investment account is:
29,000 + 125 = 29,125
Your tax liability on this income is:
29,125 × 30 % = 29,125 × 30 / 100
= 29,125 × 3 / 10
= 8,737.5
So, after - tax income is:
29,125 - 8,737.5 = 20,387.5
After-tax return on the investment is:
125 / 20,387.5 = 0.0061 or 0.61 %
Therefore, your after-tax return on the investment is 0.61 %.
Learn more about Tax here
https://brainly.com/question/16423331
#SPJ1
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 87%. What is the probability that it will rain on at most two of the seven days they are there? Round your answer to the nearest thousandth.
The probability that it will rain on at most two of the seven days they are there is 0.002.
This is a binomial probability problem with the following parameters:
n = 7, the number of trials (days)
p = 0.87, the probability of success (rain) on any given day
x = 0, 1, or 2, the number of days it will rain
The probability mass function of a binomial distribution is given by:
P(X = x) = [tex]P(X=x)=(^nC_x). p^x(1-p)^(^n^-^x^)[/tex]
P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)
[tex]= (^7C_0)(0.87^0)(0.13^7) + (^7C_1)(0.87^1)(0.13^6) + (^7C_2)(0.87^2)(0.13^5)[/tex]
= 0.000005 + 0.000143 + 0.002093
= 0.002241
Therefore, the probability that it will rain on at most two of the seven days they are there is 0.002.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
Find the value of each variable in each parallelogram
F 2y
G (x - 5)°
H (2x + 11)
D
Answer:
Step-by-step explanation:
Consecutive angles of a parallelogram equal 180°.
Opposite angles are congruent,
Using this set ∠G and ∠H equal to 180° and solve for x.
(x - 5) + (2x + 11) = 180°
x - 5 + 2x + 11 = 180°
3x + 6 = 180
3x + 6 - 6 = 180 - 6
3x = 174
3x/3 = 174/3
x = 58
∠G = x - 5
∠G = 58 -5
∠G = 53 °
Since opposite angles are congruent
∠D is also 53°
∠H = 2x + 11
∠H = 2(58) + 11
∠H = 116 + 11
∠H = 127°
opposite angles being congruent
∠F = 127°
so
127 = 2y
127/2 = 2y/2
y = 63.5°
Give a pair of alternate exterior angles, a pair of alternate interior angles, and a pair of corresponding angles.
Pair of corresponding angles: angle ABD and angle CBD.
What is line?
In mathematics, a line is a geometric object that extends infinitely in both directions, without any curvature or thickness. It can be thought of as a straight path connecting two points in a two-dimensional (2D) or three-dimensional (3D) space. A line is often represented graphically as a straight line with arrows indicating its infinite extension in both directions.
A line can be defined using different mathematical representations, such as the slope-intercept form (y=mx+b), point-slope form (y-y1=m(x-x1)), or the general form (Ax+By+C=0). In addition, lines can be classified based on their relationship with other geometric objects, such as being parallel or perpendicular to another line, intersecting with a curve or another line, or lying in a particular plane or space.
Lines are fundamental objects in geometry and algebra, and they have many applications in different areas of science, engineering, and technology.
lines intersected by a transversal:
| |
| |
| |
-----A--------B-----
| |
| |
| |
Here are some angle pairs based on this diagram:
Pair of alternate exterior angles: angle ABD and angle EBC.
Pair of alternate interior angles: angle ABE and angle CBD.
Pair of corresponding angles: angle ABD and angle CBD. And
To learn more about line click:
https://brainly.com/question/24644930
#SPJ1
Find the simplified form of each expression.
(–3)–4
The simplified form of each expression is:
1. -1/81
2. 1
3. -1/5
4. -1/27ab^6
Expression is the outward manifestation of one's thoughts, feelings, and emotions. It can be seen through behaviors, words, and body language. It is important to be able to express oneself in order to communicate effectively. Expression can also be used to create art, such as music, painting, and dance. Expression can be used to bring attention to an issue, such as a protest or a political opinion. Expression can be used to bring joy, comfort, and understanding to others. Ultimately, expression is a powerful tool used to share ideas and emotions with others.
A.-1/27ab^6
B.27ab^6
C.-27ab^6
D.1/27ab^6
Answer:
1. D. -1/81
2. D. 1
3. A. -1/5
4. A. -1/27ab^6
To find the simplified form of each expression, we can use the rule of exponents and the distributive property.
For the first expression, we can use the rule of exponents that states that x^-n = 1/x^n. Therefore, (-3)^-4 = 1/(-3)^4 = 1/(-81) = -1/81.
For the second expression, we can use the rule of exponents that states that any number raised to the power of 0 is equal to 1. Therefore, (-7.4)^0 = 1.
For the third expression, we can use the rule of exponents that states that x^-n = 1/x^n. Therefore, -(5)^-1 = 1/-(5)^1 = 1/-5 = -1/5.
For the fourth expression, we can use the distributive property to rewrite -(3ab^2)^-3 as -(3^-3) * (ab^2)^-3. We can then use the rule of exponents that states that x^-n = 1/x^n to find that -(3^-3) * (ab^2)^-3 = -1/(3^3) * 1/(ab^2)^3 = -1/27ab^6.
In conclusion, the simplified form of each expression is:
1. -1/81
2. 1
3. -1/5
4. -1/27ab^6
Complete questions as follows-
For question 1-4, find the simplified form of each expression.
1. (-3)^-4 (1 point)
A. 12
B.-81
C.1/81
D.-1/81
2. (-7.4)^0 (1 point)
A.-1
B.-7.4
C.0
D.1
3. -(5)^-1 (1point)
A.-1/5
B.-5
C.5
D.1/5
4. Simplify (1 point)
-(3ab^2)^-3.
To know more about expression click-
http://brainly.com/question/1859113
#SPJ1
Required simple form of the given expression is (-7).
What is expression?
Expression is the outward manifestation of one's thoughts, feelings, and emotions. It can be seen through behaviors, words, and body language. It is important to be able to express oneself in order to communicate effectively. Expression can also be used to create art, such as music, painting, and dance. Expression can be used to bring attention to an issue, such as a protest or a political opinion. Expression can be used to bring joy, comfort, and understanding to others. Ultimately, expression is a powerful tool used to share ideas. and emotions with others.
Here given expression is (–3)–4.
First we are removing brackets,
[tex](–3)–4 = - 3 - 4[/tex]
Taking common the negative sign,
[tex](–3)–4 = - (3 + 4)[/tex]
Adding (3) and (4) ,
[tex](–3)–4 = - 7[/tex]
Therefore, required simple form of the given expression is (-7).
Learn more about expression here,
https://brainly.com/question/31266712
#SPJ1
how nany kites can i buy for £4 and how much change will i get if each kite costs 65p
You can buy 6 kites with £3.90 (6 x 65p = 390p), leaving you with 10p change.
How to find how many kites you can buy for £4If each kite costs 65p, then £4 is equal to 400p (since there are 100 pence in a pound).
To find out how many kites you can buy for £4, we can divide 400p by 65p:
400p ÷ 65p = 6.15
So you can buy 6 kites with £3.90 (6 x 65p = 390p), leaving you with 10p change.
If you want to buy 7 kites, that would cost you 7 x 65p = 455p, which is more than the £4 you have.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ1
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
The correct equations are:
y(y + 5) = 750
y2 – 5y = 750
(y + 25)(y – 30) = 0
The first equation is the area equation. The width of the room is 5 feet less than the length of the room, so the width is y – 5 and the length is y. Plugging these values into the area equation, we get:
y(y – 5) = 750
The second equation is obtained by factoring the first equation.
The third equation is obtained by expanding the first equation.
The other two equations are not correct because they do not represent the area of the rectangular room.
Step-by-step explanation:
