All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.
What are the zeroes of a polynomial?The polynomial can be expressed as [tex]ax^{2} +bx+c=0[/tex], where a, b and c are real numbers. The numbers by which the polynomial expression values equal zero are termed zeroes of the polynomial.
The number of zeroes of the polynomial depends on the highest power of the polynomial.
Calculation:As x + 2 is one of the factor of f(x),
Now, dividing x³ - 5x² - 2x + 24 by x + 2, we get
Quotient = [tex]x^2-7x+12[/tex]
Remainder = 0
Now, factorizing the quotient by splitting the middle term,
[tex]x^2-3x-4x+12=0[/tex]
[tex]x(x-3)-4(x-3)=0[/tex]
[tex](x-3)(x-4)=0[/tex]
Now, equating both values to 0, we get
x = 3 and x = 4
All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.
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is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero?
True, is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero.
When a correlation is statistically significant, it is a significant and strong correlation. Even a very slight association can be statistically significant with a very large sample size.
While the correlation for the entire population is zero, it is nevertheless feasible for a sample to have a true, non-zero correlation.
When there is no association in a correlational analysis, what happens?
The variables fluctuate in opposite directions when there is a negative correlation. There is no association between the variables if there is zero correlation.
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the economic policy institute periodically issues reports on worker's wags. the institute reported that mean wags for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2020. assume the standard deviation for male graduates is $4.60, and for female graduates it is $4.10. (12 points) what is the probability that a sample of 50 male graduates will provide a sample mean within $1.00 of the population mean, $37.97? what is the probability that a sample of 50 female graduates will provide a sample mean within $1.00 of the population mean $27.83? in which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $1.00 of the population mean? why? what is the probability that a sample of 120 female graduates will provide a sample mean more than $0.60 below the population mean, 27.83?
The probability that a sample of 120 female graduates will = 0.8905
what is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
= |y -µ| ≥ 0.60
z = y -µ /σ√n
= 0.60/4.10√120
= 0.60/0.3742770
=1.60
Pr ( y -µy) ≤ 0.60 = P |z|≤1.60
=P ( -1.60≤ Z≤ -1.60)
=P (Z ≤ 1.60) -P ( Z≤ -1.60)
= 0.9452 - 0.0547 using z table
= 0.8905
Female graduates
mean = 27.83
sd = 4.10
sample = 120
µx = 27.83
σx = σ/√n
= 4.10/√120
a) P (X bar > 27.83)
= P (X bar -µx)/ σx > 27.83-27.83/4.10/√120
= P ( z > -1.60)
= 0.9452
For men
Mean=µ=37.39
Sd=σ=4.60 ,n=50
Probability that sample mean within $1.00 of the population mean
u-1=37.39-1=36.39
u+1=37.39+1=38.39
P = (36.39 <X bar < 38.39)
= P [tex]\frac{36.39-37.39 }{4.60/\sqrt{60} } < \frac{X bar - µ}{σ/\sqrt{n} } < \frac{39.39-37.39}{4.60/\sqrt{60} }[/tex]
= P ( -1.6839 < Z <1.6839
= P ( -1.68 < Z <1.68)
= P (Z < 1.68) - P(Z < -1.68)
= 0.9535- 0.0465
= 0.9070
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A system of equations is shown.
\left\{\begin{array}{l}\ \ \ \ \ \ \ \ \ x=10\\3x+5y=20\end{array}\right.{
x=10
3x+5y=20
What is the solution \left(x,y\right)(x,y) of the system of equations?
Enter your answer in the box.
Value of y is -2.The variable mappings that satisfy all of the component equations in a system of equations.
How do you find system of equations?One or more equations involving a number of variables make up a system of equations. The variable mappings that satisfy all of the component equations in a system of equations, or the points where the components of this system of equations intersect, are the solutions to that system.
Explanation:
The equations are provided as follows:
x = 10
3x + 5y = 20
In the second equation, change x to 10
3 * 10 + 5y = 20
Evaluate
30 + 5y = 20
Take away 30 from both sides.
5y = -10
Multiply both sides by 5.
y = -2
Consequently, in the system of equations, y has a value of -2.
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Value of y is -2.The variable mappings that satisfy all of the component equations in a system of equations.
How do you locate an equation system?A system of equations is made up of one or more equations with numerous variables. A system of equations' solutions are either the variable mappings that satisfy each of its component equations or the locations where its component equations cross.
The equations are provided as follows:
x = 10
3x + 5y = 20
In the second equation, change x to 10
3 * 10 + 5y = 20
Evaluate
30 + 5y = 20
Take away 30 from both sides.
5y = -10
Multiply both sides by 5.
y = -2
Consequently, in the system of equations, y has a value of -2.
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What is the equation of a line, in slope-intercept form, which passes through (4, -1) and has a slope of 1/3
Answer:
The answer is y = 0.333x + -2.332
Step-by-step explanation:
All you have to do is put above values in equation, which should get you to:
-1 = 0.333 (4) + b
-1 = 1.332 + b
-2.332 = b
b = -2.332
y = 0.333x + -2.332
What is the order of this matrix?
Answer: C
Step-by-step explanation:
It should be 5 x 3, considering that rows come before the columns.
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line A: 4x-3y=2
Line B: y=4/3x+2
Line C: 4y+3x=4
Answer:
Line A parallel
Line B perpendicular
Line C parallel
40 PTS
TWO PART QUESTION NEED! :)))
You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.
Use the compound interest formula:A = P(1 + r/n) ^nt to give:
Part a. The future value in 4 years.
Part b. The interest gained in 4 years.
The future value of investment is $560.30, and interest gained in 4 years is 136.8%
What is compound interest?The interest regarding loan or investment that increases exponentially with respect to time is called compound interest.
Why is compound interest used?We use compound interest so as to enhance our investment in a large scale.
Given, Amount invested, P= $500
compound interest rate, r= 2.85%
number of time period, t = 4 years
number of times interest applied per time period, n =12 (as interest compound monthly)
Final amount, A
we used compound interest formula, A= P(1+r/n)∧nt
A= 500(1+0.0285/12) ∧12×4
Final amount, A= $560.30
The future value = $560.30
Interested gained in 4 years with compound monthly =2.85x12x4 =136.8%
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pls help due tommaorw
(i also have other unanswered questions posted)
Can someone pls help me with this
The Rule is [tex]2^x[/tex].
The type of function is exponential.
Formula is [tex]y=2^x[/tex].
What does exponential function mean?
A mathematical function of the following format is an exponential function:
[tex]f(x)=a^x[/tex], where a is a constant which is also called the base of the function and x is a variable.
The information we can get from the given table is
when x=-2, y= 1/4=[tex]2^{-2}[/tex]
when x=-1, y=1/2=[tex]2^{-1}[/tex]
when x=-0, y=1=[tex]2^0[/tex]
when x=1, y=2=[tex]2^1[/tex]
when x=2, y=4=[tex]2^2[/tex]
when x=3, y=8=[tex]2^3[/tex]
By observing all the points, we know that [tex]y=2^x[/tex].
Therefore the rule for the table is [tex]f(x)=2^x[/tex].
The Formula for the given table is [tex]y=2^x[/tex].
The type of function is exponential.
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Gonzalez Manufacturing borrowed $24000. Part of the money was borrowed at 8%, part at 10%, and part at 12%. The
total amount borrowed at 8% and 10% was twice the amount borrowed at 12%. Find the amount borrowed at each rate if
the annual interest was $2480.
How much money was borrowed at 8%?
The amount borrowed at 8% is $4000, at 10% is $12,000 and at 12% is $8000
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
let x be the amount borrowed at 8%
y be the amount borrowed at 10%
and z be the amount borrowed at 12%
total money borrowed = x+y+z = 24000 equation 1
also x+y = 2z equation 2
substitute 2z for x+y in equation 1
2z+ z = 24000
3z = 24000
z = 24000/3
z= $8000
the interest rate paid on z = 12/100× 8000 = $960
the interest paid on y = 10/100 × y
the interest paid on x = 8/100 × x
total interest paid = 960+10y/100+8x/100= 2480
10y/100+8x/100= 2480-960
10y/100+8x/100= 1520
multiply all terms by 100
8x+ 10y = 15200 equation 3
x+ y = 2z = 2× 8000
x+y = 16000 equation 4
using elimination method
8x+10y = 152000 equation 5
8x+8y = 128000 equation 6
subtract equation 6 from 5
2y = 24000
y = $12000
substitute 12000 for y in equation 4
x+12000= 16000
x = 16000-12000
x = $4000
therefore the amount borrowed at 8%, 10% and 12% are $4000, $12000, $8000 respectively.
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which analysis technique simulates a model's outcome many times to provide a statistical distribution of the calculated results?
The answer is that the Monte Carlo analysis simulates a model’s outcome many times to provide a statistical distribution of the calculated results.
Now, what is Monte Carlo analysis technique?
Monte Carlo Analysis is a risk management technique used to conduct a quantitative analysis of risks.
This mathematical technique is used to analyze the impact of risks on your project — in other words, if this risk occurs, how will it affect the schedule or the cost of the project?
So, Monte Carlo Analysis gives you a range of possible outcomes and probabilities to allow you to consider the likelihood of different scenarios.
For example, let’s say you don’t know how long your project will take. You have a rough estimate of the duration of each project task. Using this, you develop a best-case scenario (optimistic) and worst-case scenario (pessimistic) duration for each task.
You can then use Monte Carlo to analyze all the potential combinations and give you probabilities of when the project will complete.
Other major benefits of this technique is -
1. It Provides early indication of how likely you are to meet project targets.
2. Can be used to create a more real budget and schedule.
3. Predicts the likelihood of schedule .
4. Gives quantitative measure of risks to assess impacts
5. Provides objective data for decision making.
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One gallon of water is equivalent to 8.34 pounds. Write this value as a mixed number in simplest form
Answer:
8 17/50
Step-by-step explanation:
8.34
= 8 34/100
8 17/50
Answer: 8_17/50
Step-by-step explanation:
Josephine started to watch a movie the movie starts at 18:30 the movie was 1 hour and 53 minutes long but part way through it she paused it for 16 minutes what time did the movie end?
Answer:
The movie ended at 7:39 a.m.
Step-by-step explanation:
She started at 6:30. 53 minutes added to that would be 7:23. Another 16 minutes added to that would be 7:39.
The movie will end at 20:39.
What is time conversion?Conversion Time means a time which falls after the Calculation Time and is the time at which the admission of the Ordinary Shares arising on Conversion to the Official List becomes effective.
Given that, Josephine started to watch a movie the movie starts at 18:30 the movie was 1 hour and 53 minutes long but part way through it, she paused it for 16 minutes
The total time taken = 1 hour + 53 minutes + 16 minutes = 1 hours + 69 minutes
= 1 hour + 60 minutes + 9 minutes
= 1 hours + 1 hours + 9 minutes
= 2 hours + 9 minutes
Therefore, total time she took for movie is 2 hr 9 min
Since, the movie started at 18:30,
Therefore, 18:30 + 2 hour 9 minute
= 20 hours + 39 minutes
Hence, The movie will end at 20:39
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What is the experimental probability that the coin will land on heads?
Step-by-step explanation: Without more information, it is impossible to determine the experimental probability that a coin will land on heads. The experimental probability of an event is determined by performing experiments and observing the results. For example, if we were to flip a coin 10 times and it landed on heads 6 times, we could say that the experimental probability of the coin landing on heads is 6/10, or 0.6. However, without knowing the results of any experiments, it is impossible to determine the experimental probability of the coin landing on heads.
Answer: We should ASSUME 1/2 or 50%
Step-by-step explanation: Since we don't know the exact number of times the person flipped the coin, we must infer you mean he/she flips the coin once. So, If a coin has 2 sides and the probability is 100% total, we can write an expression to help us solve:
P(Probability)= 100/2
P= 50% or 1/2
How I got 50% or 1/2 is I took the whole probability (100%) and divided it by 2. (2 sides on a coin)
I hope this helped (at least)
a number increased by 4 is 12
Answer: x=8
Step-by-step explanation:
This would be your equation:
x+4=12
Solve.
x=12-4
x=8
Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.
Proof of ray BC is the angle bisector of angle ABA' is given.
What are angle bisectors?Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.
A graph will move exactly to the other side of an axis, such as the x-axis, as if it were a mirror when it is reflected along that axis.
Because it is symmetrical, each point is as far from the axis of reflection as its mirror counterpart.
Triangle A'B'C' is a mirror of triangle ABC over line BC, as shown by the provided issue.
Therefore, <A'B'C' = <ABC
by virtue of congruent triangles' characteristics. Means that if the sides' lengths are equal, the angles' measures are equal, and they may be overlaid.
Therefore, the ray BC is the angle, bisector of angle ABA'.
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Need help asap.
Calculate the residuals for the scatterplot.
The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
How to determine the residuals?The regression equation is given as:
y = 0.138x + 1.166
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 20 + 1.166 = 3.93
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 16.7 + 1.166 = 3.47
y = 0.138 * 15.5 + 1.166 = 3.31
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
Residual = 3.7 - 3.65 = 0.05
Residual = 3.69 - 4.19 = -0.5
Residual = 3.8 - 3.65= 0.15
Residual = 4 - 3.93 = 0.07
Residual = 4 - 3.65= 0.35
Residual = 1.11 - 1.26 = -0.15
Residual = 3.69 - 4.19 = -0.5
Residual = 1.11 - 1.26 = -0.15
Residual = 3.5 - 3.47 = 0.03
Residual = 3.92 - 3.31 = 0.61
Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
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Answer:
The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
How to determine the residuals?
The regression equation is given as:
y = 0.138x + 1.166
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 20 + 1.166 = 3.93
y = 0.138 * 18 + 1.166 = 3.65
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 21.9 + 1.166 = 4.19
y = 0.138 * 0.7 + 1.166 = 1.26
y = 0.138 * 16.7 + 1.166 = 3.47
y = 0.138 * 15.5 + 1.166 = 3.31
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
Residual = 3.7 - 3.65 = 0.05
Residual = 3.69 - 4.19 = -0.5
Residual = 3.8 - 3.65= 0.15
Residual = 4 - 3.93 = 0.07
Residual = 4 - 3.65= 0.35
Residual = 1.11 - 1.26 = -0.15
Residual = 3.69 - 4.19 = -0.5
Residual = 1.11 - 1.26 = -0.15
Residual = 3.5 - 3.47 = 0.03
Residual = 3.92 - 3.31 = 0.61
Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61
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Step-by-step explanation:
Which system of inequalities is shown?
The equations of inequalities are y < 4 and y > x.
What is inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The line of the graph is not solid. The lines of the graph is dotted. Thus the inequality sign will be less than or greater than.
One graph line is parallel to x-axis and it intersect y axis at (0,4).
The equation of the line that is parallel to x-axis and it intersect y axis at (0,a), then the equation of the line is y = a
The equation of the line parallel to x-axis is y = 4.
The equation of line that passes through origin is y = mx
The line passes through the point (1,1).
Putting x = 1 and y = 1 in y = mx:
1 = m
Therefore the equations of lines are y = x and y = 4
The inequality will be y < x or y > x for the line y = x.
The inequality will be y < 4 or y > 4 for the line y = 4.
(-2,0) is a point on the shaded area.
Putting x = -2 and y = 0 in y > x
0 > -2 true.
The inequality is y > x
Putting x = -2 and y = 0 in y < 4
0 < 4 true.
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Solve a triangle proof
the triangle of the given figures are congruent and ∠1 = ∠2.
What is congruent by SAS?
The side-Angle-Side congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.
In the triangle ΔABD and ΔAED
Here AD is a common side
AB = AE
BC = EC
So both triangles are congruent.
So we can have ∠1 = ∠2
Hence, the triangle of the given figures are congruent and ∠1 = ∠2.
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Write a rule for the glide reflection that maps ABC with vertices A(-4,-2), B(-2, 6).
and C(4, 4) to A'B'C' with vertices A'(4, -2), B(6, -6), and C'(12,-4).
The glide reflection that maps ABC to A'B'C' is given as follows:
Reflection over the line y = x - 9.Translation right 8 units.What is a glide reflection?The glide reflection is a combination of a reflection with a translation.
The line of reflection passes through the midpoint of a pair of vertices, being perpendicular to the vertex.
The midpoint of segment A'B' is given as follows:
x = (4 + 6)/2 = 5.y = (-2 - 6)/2 = -4.The slope of this segment is given as follows:
m = (-6 - (-2))/(6 - 4) = -1.
Then the slope of the reflection line is of:
m = 1.
(as the reflection line is perpendicular to the segment, meaning that the multiplication of their slopes is of -1).
Then:
y = x + b.
When x = 5, y = -4, then the intercept b is calculated as follows:
-4 = 5 + b
b = -9.
Thus the reflection line is of:
y = x - 9.
Then the translation is given subtracting the coordinates of one of the vertices, as follows:
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90°
bº
aº
110°
what is the value of a+b?
The value of a+b is 67.5+52.2=120.1 degree.
Which is the value of B?
The middle number, the one immediately following the x, is the b-value. A and C are also numerals, much as the letter B. These can all have any number. They all work together to show you how the quadratic function will be graphed. If you haven't used your y = mx + b equation in a while, dust it off and use the three values you were given for x, y, and m to solve for the b-value, which is the value of the y-intercept. The equation is then solved for the last variable: b, the y-value intercept's.
[tex]\begin{aligned}& 360-90=270 \\& 270-2=135 \\& 180-135=45 \\& \frac{45}{2}=22.5 \\& 90-22.5=67.5 \\& b=67.5^{\circ}\end{aligned}[/tex]
90 *67.8+a 110 =360
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how do you solve this?
According to Euclidean geometry, the geometric system consisting in isosceles triangle has an angle x whose measure is equal to 74°.
How to solve a variable in an isosceles triangle
In this problem we find a geometric system consisting in a triangle, where two sides are congruent and the measure of an angle equals 74°.
According to Euclidean geometry, a triangle represented by the geometric system, with such features represents an isosceles triangle, that is, a triangle with two congruent sides and two congruent angles between the base side and each of the two congruent sides. Thus:
m ∠ x = 74°
x = 74°
Therefore, the measure of angle x, opposite to the angle whose measure is 74°, must be also equal to 74°.
The measure of angle x associated with the geometric system consisting in an isosceles triangle is equal to 74°.
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1 - ? = 1/7 <- fraction
Fill in the missing value
6/7
Step-by-step explanation:
1 - x = 1/7
- x = 1/7 - 1
- x = 1/7 - 7/7
- x = -6/7
x = -(-6/7)
x = 6/7
thus,
1 - 6/7 = 1/7
Peter and Vivian each wrote a proof for the statement: if 22 23, then 21 is supplementary to 23.
1
Peter used
because
2
Peter's proof:
By the linear pair theorem, 21 is supplementary to 22. So, m/1 + m/2 = 180°. Since 2223, then 22 = 23. Applying the transitive property
of equality, m/1 + m/3 = 180°, which means 21 is supplementary to 23.
All rights recented
3
Vivian's proof:
Suppose 21 is not supplementary to 23. So, m/1 + m23 180°. By the linear pair theorem, 21 is supplementary to 22. By the definition of
supplementary angles, m/1 + m/2 = 180°. Applying the Transitive Property, m/1 + m23 # m/1 + m2. By the subtraction property of
equality, this implies that m/3 m/2. By definition of congruence, m/3 m/2. However, m/3 m/2 contradicts the given.
What type of proofs did they use?
e because
B. Vivian used
Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right.
How to carry out Congruence Proofs?
We are told that both peter and Vivian were trying to prove from the attached diagram the statement that;
If ∠2 ≅ ∠3, then ∠1 is supplementary to ∠3.
Now, from the proofs of both of them, we can see that peter used a direct proof because he knew he could get it directly but Vivian utilized another means which was by starting with contradiction to reprove that the answer was correct.
Thus, we can conclude that Peter used direct proof method because he gets the answer directly whereas Vivian used direct proof method by contradiction because she first assumed that the answer was wrong and had to prove that the answer was right
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100 POINTS IF YOU CAN ANSWER THIS
Which of the following number of selected people having received a ticket would constitute an unusual event?
A. 4
B. 5
C. 1
D. 2
Answer: B
Step-by-step explanation:
Answer: The answer is D. 2 | 0.25
Step-by-step explanation:
I don't really have a good explanation, but I hope it helps!
Point C is 3/4 of the way from point A(−4, −2) to point B(8, 6). What are the coordinates of C?
The coordinates of C are (8/7, 10/7) if point A is (-4, -2) and point B is
(8, 6)
What is section formula?The section formula aids in finding a point's coordinates so that the line connecting two points can be divided in a ratio. This involves both internal and external activities. P (x, y) = (c, m, plus a, plus n, plus d, plus b, plus n). The Section formula is used to determine the ratio by which a line segment is divided by a point either internally or externally in coordinate geometry. It is used to identify a triangle's centroid, incenter, and excenter. Physics uses this technique to determine equilibrium points, the centers of mass of systems, and other things.
A(-4, -2), B(8, 6)
m:n=3:4
((3(8)+4(-4))/(3+4) , ((3(6)+4(-2))/(3+4))
=((24-16)/7, (18-8)/7)
=(8/7, 10/7)
Therefore, the coordinates of C are (8/7, 10/7)
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paige spends 1 hour on her homework she spends equal amount of time on all subjects, if paige spends 1/2 on spanish how much hours does she study
The number of subjects that Paige would study D. 2 subjects.
How to calculate the number of subject studiedIt should be noted that Paige would study for one hour. She spends 1/2 an hour, or 30 minutes, on a subject.
An hour is 60 minutes. If Paige studied 2 subjects, then she would of studied for 60 minutes.
30 + 30 = 60
So, if Paige spends 1/2 hour on Spanish, she would study 2 subjects to reach an hour.
Therefore, the correct option is D.
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Complete question
Paige spends 1 hour on her homework. She spends equal amounts of time on all subjects. If Paige spends 1/2 hour on Spanish, how many subjects does she study?
3 subjects
1 subject
4 subjects
2 subjects
For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.
What is a sphere?
The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.
Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.
The radius of a sphere is the half of its diameter.
The radius of the bottom ball is 3/2 feet =1.5 feet
The radius of the middle ball is 2/2 feet = 1 feet.
The radius of the top ball is 1/2 feet = 0.5 feet.
The volume of a sphere is 4/3 × ∏r³.
The volume of bottom ball is 4/3 × ∏ × (1.5)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (1)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (0.5)³ cubic foot.
The total amount of snow is
4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³
= 4/3 × ∏ [1.5³ +1³ + 0.5³ ]
= 4/3 × ∏× 4.5
= 18.84
≈ 19 cubic foot
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police departments continue to control the sole statistical data available to measure homicide rates in the united states. true or false?
The given statement , police departments continue to control the sole statistical data available to measure homicide rates in the united states is false.
Domestic disagreements, interpersonal violence, violent fights over land resources, intergang violence over turf or control, and predatory violence and murders by armed organizations are all examples of intentional homicides.
Intentional homicide does not cover all intentional killing; the distinction is usually in the manner in which the killing is carried out.
Homicide is typically committed by individuals or small groups, but killing in armed conflict is typically performed by highly cohesive organisations of up to several hundred members and is thus typically omitted.
The 2020 murder/homicide rate in the United States was 6.52,
a 28.64% rise over 2019.
The murder/homicide rate in the United States in 2019 was 5.07,
up 1.19% from 2018.
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please help me with math
Answer: C & D
Step-by-step explanation:
Remember when 2 same square roots are multiplied by one another, they cancel out.
√64 is equivalent to 8, so that is the answer as well.
