The value of the expression ab² is 12x where a = -3x and b = -2i
How to evaluate the expression?From the question, the values of the variables are given as
a = -3x and b = -2i
The expression to calculate is then calculated as
ab²
Substitute the known values in the above equation
So, we have the following equation
ab² = (-3x) * (-2i)²
Evaluate the exponent
So, we have the following equation
ab² = (-3x) * -4
Evaluate the product
So, we have the following equation
ab² = 12x
Hence, the solution to the expression is 12x
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a bag contains 275 marbles. some are red and the rest are black. there are 24 red marbles for every black marble. how many red marbles are in the bag?
There are 264 red marbles in a bag.
What is Marbles?
A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.
Let x = Number of red marbles
y = Number of black marbles.
A bag contains 275 marbles.
So, x + y = 275 ..(1)
There are 24 red marbles for every black marble.
x = 24y ..(2)
Plug value of x in equation (1).
24y + y = 275
25y = 275
y = 11
Put y = 11 in equation (2),
x = 24(11)
x = 264
Hence, there are 264 red marbles in the bag.
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You are a grant writer for an organization that helps adults complete their high school educations. For the last 5 years, you have applied for and received $45,000.00 in grants. Your boss would like you to try to increase that amount to $60,000.00. How much of an increase does the new amount represent over the previous amount?
Based on the amount you have received in grants, and the amount the boss wants to increase it to, the increase the new amount represents over the previous amount is $15,000 or 33.3%.
How to find the increase?Your boss wants to increase the grants to $60,000 from the current amount of $45,000.
This means that the new amount will represent an increase over the previous amount by:
= 60,000 - 45,000
= $15,000
In percentage terms this is:
= Increase over previous amount / Previous amount x 100%
= 15,000 / 45,000 x 100%
= 33.3%
In conclusion, the difference between the grants applied for in the past 5 years and the amount the boss is asking for, gives the increase of $15,000.
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The line parallel to y=3x+5 that passes through the point (-8,-4)
Answer:
y = 3x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 5 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c substitute (- 8, - 4 ) into the partial equation
- 4 = - 24 + c ⇒ c = - 4 + 24 = 20
y = 3x + 20 ← equation of parallel line
Answer:
Step-by-step explanation: From the given point,
The line is: -8x-4y=0
viz, 2x+y=0
Jaida worked 21 1/2 hours last week.She earned $11.60 per hour of work.How much money did jaida earn last week
Answer:
249.40
Step-by-step explanation:
A social scientist researched how the average working hours per worker, over a full year, for two different European countries changed since 1870. she created a scatter plot and found the regression line for each set of data. She then used the regression line to
create a table of values for the residuals. The scatter plots, regression equation, and residuals for the two countries are shown, where z represents the number of years since 1870 and y represents the average working hours per worker over a full year.
We can conclude that (B) the data from Germany has a negative correlation because the slope of the regression equation is negative.
What is a regression equation?The dependent variable's predicted value in simple linear regression is given by the equation = b₀ + b₁x. In order to minimize the total sum of squared errors, the values of b0 and b1 are calculated from the data using the equation line = b0 + b1X. (the error is the difference between the predicted value and the actual value of y).When two variables, X and Y, are involved, there will be two regression lines: one for X on Y and one for Y on X. Lines of regression X and Y: In this configuration, the variables Y and X are independent, and the best-expected value of X is determined in accordance with the value of Y that is provided.So, according to the given image, we can easily say that Germany has a negative correlation.
Hence, option(C) and (D) are wrong.We can observe that the slope of the regression equation is negative.
Then, the wrong option will be (A) and the correct option will be (B).Therefore, we can conclude that (B) the data from Germany has a negative correlation because the slope of the regression equation is negative.
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raph, a
scription
of values
context.
R24
mble.
written
of a
cion,
SHIPPING The OOCL Shenzhen, one of the world's largest
container ships, carries 8063 TEUS (1280-cubic-feet containers).
Workers can unload a ship at a rate of 1 TEU every minute. The
equation y = 8063 - 60x represents the number of TEUs on the
ship y after x hours of the workers unloading the containers from
the Shenzhen.
a. Find the x- and y-intercepts and interpret their meaning in the
context of the situation.
Graph the equation by using the intercepts
Answer:
23
Step-by-step explanation:
Mark Trumbo of the Arizona Diamondbacks has hit five home runs in the thirty-five times he has been up to bat. At this pace, how many at bats would he need to hit twenty-three home runs?
Find the equation to the line below.y =[?-x ++ [ ]
Note that a line whose equation is in the form :
[tex]y=mx+b[/tex]has a slope of m
and a y-intercept of b
Slope is also equal to rise/run :
[tex]m=\frac{\text{rise}}{\text{run}}[/tex]where rise is the number of vertical units between two points and run is the number of horizontal units between two points.
Note also that upward and right movement is positive, downward and left movement is negative.
From the figure, the vertical units between two given points is 3 units upward, so this is positive.
The horizontal units between them is 2 units to the right which is also positive.
The slope will be :
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{3}{2}[/tex]Next is to solve for b (y intercept).
y-intercept is the point where the line intersects the y-axis.
From the graph, the lines intersects at point (0, 2) on the y-axis
Therefore, the value of b is 2
Rewriting the equation, the answer is :
[tex]\begin{gathered} y=mx+b \\ y=\frac{3}{2}x+2 \end{gathered}[/tex]The telephone company offers two billing plans for local calls. Plan 1 charges $24 per month for unlimited calls and Plan 2 charges $18 per month plus $0.05 per call.
Answer:
plan b
Step-by-step explanation:
unless your making 120 calls or more plan B is better
24-18=6
6/0.05
=120
what is the total amount of 67x88=
the answer is 5896. . . . . . ... . . . . . ......................
Hello!
When multiplying 67 x 88, the correct answer would be 5896.
Hope this helped!
what is the absolute value for this equation? : |-x| = 3
Answer:
The answer is |-3|
Step-by-step explanation:
The absolute value of a negative number will always be the same number but positive. Like the absolute value of |-4| will be 4.
Please answer fast
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
The statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
What is statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
In the given statements
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
The statement "The range of the distribution is around 60 cm" is true.
The range is the spread of your data from the lowest to the highest value in the distribution.
In the given graph
Range=200-140
=60
So it is true.
The center of the distribution is around 180 cm is also true.
Hence the statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
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What is the simplest form of
2√3
√12
Explanation:
though it may not be a simplification,
2√3
can be shown as
√12
.
2=√4
Given the information above, what is the size of the wedge to the nearest whole degree foraqua pencils?options:55°12°61°43°
the size of the wedge for aqua pencils is 43°
Explanation:Given:
A table showing the pencil collection
To find:
the portion that represents the aqua pencils in degree
The total number of pencils = 23 + 106 + 62 + 47 + 32
The total number of pencils = 270
In degrees:
Total angle in a circle = 360°
Size of the wedge for aqua = number of aqua pencils/total pencils × 360°
[tex]\begin{gathered} Size\text{ of the wedge = }\frac{32}{270}\text{ }\times360° \\ \\ Size\text{ of the wedge = 42.67\degree} \end{gathered}[/tex]To the nearest degree, the size of the wedge for aqua pencils is 43°
What is the slope of a line perpendicular to the line whose equation is x+6y=-24
Answer:
[tex]m[/tex]perpendicular = 6
Step-by-step explanation:
Hope this helps! :))
I need help with this question... the correct answer choice
The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,
When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.
Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.
The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.
So answer is reflection across y = x.
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80
The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)
As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.
Here
By replacing the supplied value in the previous equation, we obtain -
values of the probabilities for a two-tailed test
p-value = P (alpha/2) + P (alpha/2)
p-value = 0.40 + 0.40
=0.8
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Angle classification/relationships
Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).
What does the triangle's angle relationship mean?
Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.
A congruent triangle ,
if all of two triangles' sides match, then they are said to be congruent.
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Ariel dropped a golf ball from her second story window. The ball starts from rest and hits the sidewalk 1.5 s later with a velocity of 14.7 m/s. Find the average acceleration of the golf ball.
The average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².
Given in the question is:
Since the ball started from rest
Initial velocity; u= 0m/s
Final velocity; v = 14.7 m/s
Time taken for the golf ball to hit the sidewalk; t = 1.5 s
Average Acceleration; g =?
To determine the average acceleration of the golf ball, we use the First Equation of Motion:
v = u + at
The Equation will be :
v = u + gt
Plug the all values in above equation:
14.7m/s = 0 + g x 1.5 s
g = 14.7 / 1.5
g = 9.8m/[tex]s^2[/tex]
Therefore, the average acceleration of the golf ball as it was dropped from the second story window is 9.8m/s².
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Help please! Solve this and show your steps: c = 6.00 + 29.99
Step-by-step explanation:
you don't a type your question. so if it correct i will be happy to help you
Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood? Explain. Click here to view the diagram of Yuri's backyard. Click here to view the table of materials. The area of the patio is yd?, so the cost of concrete is $ The area of the garden is yd?, so the cost of soil is $ The total area of the deck is ft?, so the cost of wood is $1. So, Yuri will spend $ more on concrete than on soil and wood. (Type integers or decimals.) Enter your answer in the edit fields and then click Check Answer. All parts showing
1) Area of patio = 1/2 base x height
Height = 3.1ft
base = 7 + 10 =17 ft
Area = 1/2 x 3.1 x 17
Area of patio = 26.35 square ft
1 yard = 3 ft
1 square yard = 9 square ft
so the area of the patio in yard is
26.35/9 = 2.927777778 square yard
2) Cost of concrete = $10/square yard poured 1/9 yard deep+ $60 delivery fee
for 2.9277777778 square yard it will cost 1/9($10 x 2.9277777778) + $60 =$
3)
Ms. Wilson invested $30,000 in two accounts, one yielding 8% interest and the
other yielding 9%. If she received a total of $2,590 in interest at the end of the
year, how much did she invest in each account?
The amount invested at 8% was $
The amount invested at 9% was $
Answer:
The amount invested at 8% was $11,000
The amount invested at 9% was $19,000
Step-by-step explanation:
Let the variable x represent the amount in $ invested at 8% and let y be the amount in $ invested at 9%
Total amount invested:
x + y = 30000 [1]
8% = 8/100 = 0.08
9% = 9/100 = 0.09
Interest at 8% on $x = 0.08x
Interest at 9% on $x = 0.09x
Total Interest :
0.08x + 0.09y = 2590 [2]
Using equations [1] and [2] we can solve for x and y
We have
x + y = 30000 [1]
0.08x + 0.09y = 2590 [2]
Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)
0.08x + 0.08y = 2,400 [3]
Subtract [3] from [2] :
0.08x + 0.09y = 2590
-
0.08x + 0.08y = 2400
----------------------------------
0x + 0.01y = 190
Divide both sides by 0.01
0.01y/0.01 = 190/0.01
y = = 19,000
Use [1] to get value of x
x + y = 30,000
x + 19,000 = 30,000
x = 30,000 - 19,000
x = 11,000
3. There are 104 males and 121 females
participating in a marathon. To the
nearest percent, what percent of the
participants are female?
There are 54% of the participants are female.
What is percent?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage
Given:
There are 104 males and 121 females
participating in a marathon.
So, the total number of participants are,
104 + 121 = 225.
There are 225 total number of participants.
So, the percent of the female are,
[tex]\frac{121}{225} (100) = 53.78[/tex]
Therefore, the percent of the participants of female are 54%.
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In comparative statistics, what type of error occurs when a test indicates a significant difference between two or more populations even though the null hypothesis is true?.
Type 1 error is the error occurs when a test indicates a significate difference between two or more populations.
What does a Type I mistake mean?Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes. The significance level you select (alpha or ) determines the likelihood that you will make this mistake.
Data cleansing—also known as data cleaning, data scrubbing, or data rectification—is the process of correcting inaccurate, insufficient, duplicate, or other wrong data in a data set. It entails locating data mistakes and then correcting them by modifying, updating, or eliminating data.
Using independent samples from two independent groups, the two-sample (independent groups) t-test is used to assess whether the unknown means of two populations are different from one another.
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Solve the inequality for x. Show each step of the solution.
12(x+3)>4x-8
Answer:x>-11/2
search it for a better understanding of the understanding the question
Answer:
x > -11/2
Step-by-step explanation:
Given inequation,
→ 12(x + 3) > 4x - 8
Now the value of x will be,
→ 12(x + 3) > 4x - 8
→ 12x + 36 > 4x - 8
→ 12x - 4x > -8 - 36
→ 8x > -44
→ [ x > -11/2 ]
Hence, value of x is -11/2.
1.5 x 10 9
8.9 x 10 7
1. In the graph below, point D is reflected across the y-axis. What are the coordinates of its
image?
2
(3,-1)
(3, 1)
(-3,-1)
(-3, 1)
Answer:
3
Step-by-step explanation:
Solve for x in terms of the other pronumerals
ax+ b/4 = x+c/3
Answer:
[tex]x=\cfrac{4c-3b}{3a-4}[/tex]==============================
Given expression[tex]\cfrac{ax+b}{4}=\cfrac{x+c}{3}[/tex]Solve it for x in steps below[tex]\cfrac{ax+b}{4}=\cfrac{x+c}{3}[/tex] Given
[tex]3(ax+b)=4(x+c)[/tex] Cross-multiply
[tex]3ax + 3b=4x+4c[/tex] Distribute
[tex]3ax-4x=4c-3b[/tex] Collect terms with x
[tex]x(3a-4)=4c-3b[/tex] Factor out x
[tex]x=\cfrac{4c-3b}{3a-4}[/tex] Divide both sides by 3a - 4
Simple Interest QuizIf $3,000 is loaned for 48 months at a 4.5% annual rate, how much is the ending balance?
Given:
Principal (p) =$3,000
Time (T) = 48 months = 4 years
Interest rate = 4.5%
Required :
Ending balance = ?
The simple interest :
[tex]\begin{gathered} SI\text{ = PRT} \\ =\text{ 3000 }\times\text{ 0.045 }\times\text{ 4} \\ =\text{ \$ 540} \end{gathered}[/tex]Ending balance :
[tex]\begin{gathered} \text{Ending balance = Principal + SI} \\ =\text{ \$ 3000 + \$ 540} \\ =\text{ \$ 3540} \end{gathered}[/tex]Ending balance = $ 3540
Use the Rational Zeros Theorem to list all possible zeros of the function below.
f(x) = 11x³ 2x² + x + 10.
-
[Enter all possible zeros predicted by the Rational Zero Theorem individually and separated by commas
(1,-1,-1/2,1/2,etc.) Note: You do not need to factor the polynomial.]
The all possible zeros predicted by the Rational Zero Theorem individually and separated by commas are ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.
P(x) = 11x³ + 2x² + x + 10
The factors of the constant term 10 is ±1, ±2, ±5, ±10 (=p)
The factors of leading coefficient are ±1, ±11 (= q)
The possible rational zeros are p/q : ±1/1, ±1/11, ±2/1, ±2/11, ±5/1, ±5/11, ±10/1, ±10/11.
After simplification the possible roots are ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.
Therefore, ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11. are the all possible zeros predicted by the Rational Zero Theorem individually and separated by commas.
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