Answer:
\(18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}\)
Step-by-step explanation:
27= 3 * 3 * 3
75 = 3 * 5*5
18 sqr 3 + 55 sqr 3 = 73 sqr 3
what are the like terms in this exspression 9a-3b + 4ab
Answer:
none of these terms are like terms
Answer:
there is no like terms in this expression
Step-by-step explanation:
there is "a", "b" and "ab"
you cant combine anything because they are all different
Hope this helps!!
Britany is bringing birthday cake and cookies to her office. She has already spent $10.00 on the cake. Cookies cost $0.70 each, and she does not wish to spend more than $34.50 for all desserts. If x represents the number of cookies she can buy, which of the following inequalities symbolizes this situation?
A.
$10.00x + $0.70 < $34.50
B.
$0.70x + $10.00 < $34.50
C.
$0.70x + $10.00 < $34.50
D.
$10.00x + $0.70 < $34.50
Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The solution of an inequality is the set of numbers that make the inequality true.
Inequality in this caseIn this case, you know that:
Britany has already spent $10.00 on the cake. Cookies cost $0.70 each. She does not wish to spend more than $34.50 for all desserts.Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is
10 + 0.70x <34.50
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Toby drove 325 miles in 5 hours how many miles per hour does Toby drive?
Answer:
325 divided by 5= 65
Step-by-step explanation:
Answer:
325/5= 65mph
.........
A holiday costs £1200. Work out the price after a 7% discount.
Answer:
1116
Step-by-step explanation:
0.93(1200)
1116
Discounts are used to reduce the price of an item
The price after a 7% discount is £1116
How to determine the price after discountThe given parameters are:
Cost = £1200
Discount = 7%
So, the price after the discount is:
Price = Cost * (1- Discount)
This gives
Price = £1200 * (1- 7%)
Evaluate the product
Price = £1116
Hence, the price after a 7% discount is £1116
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Freddie had saved 231 pennies.
Which statement best describes
the number of pennies he had?
he has 231 pennies..............
A regular polygon has it's exterior angle 108 less than it's interior angle. find the number of sides of the polygon
Answer:
Step-by-step explanation:
A regular polygon has it's exterior angle 108 less than it's interior angle. find the number of sides of the polygon
exterior angle of a polygon = 360 ÷ number of sides.
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter.
A. 141 m3
B. 283 m3
C. 339 m3
D. 424 m3
Answer:
D. 424 m³
Step-by-step explanation:
Use the formula for the volume of a cylinder
V = \(\pi\)r²h
Plug in the values we know
V = (3.14)(3²)(15)
V = 423.9 m³
This is closest to answer choice D, 424 m³
So, D is correct
which type of sampling requires giving every part an equal chance of being selected for the sample?
The type of sampling that requires giving every part an equal chance of being selected for the sample is called "simple random sampling."
Simple random sampling is a method of selecting a sample from a population where each member has an equal probability of being chosen. In this type of sampling, every part or element of the population is assigned a number or label, and a random process, such as a lottery or a random number generator, is used to select the sample. The main characteristic of simple random sampling is that each member of the population has an equal and independent chance of being selected, without any bias or preference.
This sampling method ensures that every part of the population has an equal opportunity to be included in the sample, making it a fair representation of the entire population. By giving each part an equal chance of being selected, simple random sampling helps to minimize sampling errors and increase the generalizability of the findings to the larger population. It is often used in research studies and surveys when the goal is to obtain an unbiased and representative sample.
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Which piecewise function represents the following situation?
A house painter charges $12 per hour for the first 40 hours he works, time and a half for the first 10 hours after that, and double time for all hours after that. He will not work over 70 hours a week.
Answer:
The last piecewise function
Step-by-step explanation:
The question is asking which of the piecewise functions is applicable in this situation not a value
Given t is the number of hours the painter will work, with the given data let's see how to arrive at the function
If t ≤ 40 then the rate is $12 per hour = 12t
If t > 40 but ≤ 50 then the first 40 hours are at $12 per hour which will fetch him $480. The remainder hours is (t - 40) which are charged at time and half so that would be 12 x 1.5 x t = 18t. The total earned would be 18t + 480
If > 50 ≤ 70 then
First 40 hours at $12 per hour = $480
Next 10 hours at $18 per hour = $180
Remainder hours = (t - 50) and is charged at double time so that would be 24 (t -50)
Total earned = 480 + 180 + 24(t-50) = 660 +2(t-4 50) or 24(t-50) + 180
So the piecewise function that fits this situation is the last one
I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.
Answer:
Number 3 is 10
Step-by-step explanation:
16+13(10)=146
14(10)+6=146
Answer:
See answer below.
Step-by-step explanation:
# 3 x = number of boxes
$16 + 13x = Tracy cost
$6 + 14x = Brendan cost
The costs are equal.
16 + 13x = 6 + 14x
10 + 13x = 14x
10 = x
#4 First plan second plan
x = number of people at a table x = number of people at a table
y = number of people at a booths y = number of people at a booths
24x + 21y = 270 multiply by 23 ⇔ 552x + 483y = 6210
14x + 23y = 222 multiply by -21 ⇔ -294x - 483y = -4662
258x = 1548
x = 6
Six people at each tables
24 (6) + 21y = 270
144 + 21y = 270
21y = 126
y = 6
Answer: 6 people at each table; 6 people at each booth.
find the equation of a line whose intercepts on the x-axis is -2 and parallel to 2y + x - 1=0
Answer:
y = -1/2x-1 would have a x-intercept of -2 when graphed!
Suppose we obtain a sample proportion using a sample of size 100. If we want to obtain another sample proportion from the same population, but with standard deviation one-half of what it was for a sample of size 100, what should the sample size be
The standard deviation of a sample proportion is given by the formula:
σ = sqrt((p * (1 - p)) / n)
where σ is the standard deviation, p is the sample proportion, and n is the sample size.
If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:
(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)
To simplify the equation, we can square both sides:
((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100
Simplifying further:
100 * n^2 = 4 * 1
n^2 = (4 * 1) / 100
n^2 = 0.04
Taking the square root of both sides:
n = sqrt(0.04)
n = 0.2
Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.
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Help please
an equation where the slope is 5 and y-intercept is 12.
Answer: y = 5x + 12
Step-by-step explanation:
y = mx + b, where m is the slope, and b is the y- intercept, then we plug in:
y = 5x + 12
Simplify 2(x + 6) - 8
Answer:
2x+4
Step-by-step explanation:
please give me a brainliest!!
Answer:
2x + 4
Step-by-step explanation:
2(x + 6) - 8
Distribute
2(x) = 2x
2(6) = 12
2x + 12 - 8
Subtract 12 - 8
12 - 8 = 4
So 2x + 3 is your final answer.
which method would you use to round 2.6 to the closest whole number?
Answer:
Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):
2.6
Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.
In short: 2.6 rounded to the nearest whole number is 3.
Is this a function someone pls tell me
Answer:
that is not a function
Step-by-step explanation:
The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.
Answer:
\(x = - 59\)
Step-by-step explanation:
\((6x + 28) = (7x + 87)\)
\(6x + 28 = 7x + 87\)
\(6x - 7x = 87 - 28\)
\(1x = - 59\)
\(x = \frac{ - 59}{1} \)\(x = - 59\)
Hope it is helpful....A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0. 75, 0. 5). The coordinates of C prime are (1. 5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0. 25, 1). The coordinates of B prime are (–0. 5, 2).
The true statements about the dilation are as follows;
The scale factor is One-eighth
The coordinates of the C prime are (0.75, 0.5).
The coordinates of B prime are (–0.25, 1).
Given
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).
If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.
What is transformation?Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.
Dilation is the enlargement or reduction in the size of an object. If a point X(x, y) is dilated about the origin by a factor k, its new location is X'(kx, ky).
Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)
kA = A'
(-2k, 4k) = (-0.25, 0.5)
-2k = -0.25, hence k = 1/8
Therefore the scale factor is 1/8 (one- eight)
The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)
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Find the average rate of change of g(x)=-2x^3-5 from x=-4 to x=1
Answer:
26
Step-by-step explanation:
We have the average rate of change on the interval [a,b] as
f(b)-f(a)/(b-a)
b = 1 and a = -4
f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7
f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123
so we have;
(123 + 7)/(1+4) = 130/5 = 26
Solve 2x + 4 > 16.
O A. x> 10
• B. x> 6
• C. x<10
O D. x<6
Work Shown:
2x+4 > 16
2x > 16-4
2x > 12
x > 12/2
x > 6
which points us to choice B as the final answer.
The inequality sign stays the same. It only would flip if we multiplied or divided both sides by a negative number.
The graph would involve an open circle at 6 on the number line. Then shade to the right of this open circle.
Where is the mistake she made and explain why please help??????????????
The first mistake is that she went from 3x-2 to 3x+2. Everywhere you see "3x+2", change it to "3x-2".
Another mistake is we shouldn't use absolute value in this case. This is because we're dealing with an odd number index. In this case, the index of the root in the original equation is 3. Because there isn't any absolute value, we won't have a plus/minus.
So we should have 3x-2 = 8 for the third to last step. That solves to x = 10/3 as the only solution.
consider a symmetric matrix a. if the vector v is in the image of a and w is in the kernel of a, is v necessarily orthogonal to w?
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.
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two 6-sided dice are rolled 40 times and the data from each roll is recorded. what are the theoretical odds of how many times the dice landed with the same number?
Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.
Probability of getting even number is
3/6 = 0.5
i.e. 50%
Out of 40 rolls there are 50% chances to get even number. i.e.
50 × 1/100 × 40 = 20
Thus 20 is the answer,
It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.
57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.
If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.
So, I think it really depends on what exactly you mean by likely.
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In Part 0-2 we covered how to use scatter plots, bar charts, and time-series.
Imagine that you are doing a presentation on climate change. In one of the slides of your presentation you are trying to show how the average global temperature has changed over the course of the 20th century. Which of the following types of charts would be most appropriate do this?
a Bar chart
b Scatter plot
c Time-series
d Frequency polygon
The most appropriate chart to show the change in average global temperature over the course of the 20th century in a presentation on climate change would be a time-series chart.
A time-series chart is designed to display data points over a continuous time interval. It is commonly used to visualize trends and patterns in data that are recorded over time. In the case of tracking average global temperature, a time-series chart would be ideal as it allows for the representation of temperature data points at different time intervals throughout the 20th century.
By using a time-series chart, each data point representing the average global temperature for a specific year can be plotted along the time axis. This would provide a clear visual representation of the temperature variations over time and enable viewers to observe any upward or downward trends in temperature.
On the other hand, a bar chart is more suitable for comparing categorical data or discrete variables, a scatter plot is ideal for visualizing the relationship between two continuous variables, and a frequency polygon is typically used to display the distribution of a single variable. Therefore, for showing the change in average global temperature over time, a time-series chart is the most appropriate choice.
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I need help solving x. photo is attached below.
too much cholesterol in the blood increases the risk of heart disease. the cholesterol levels of young women age 20 to 34 have an approximate normal distribution with mean 185 milligrams per deciliter (mg/dl) and standard deviation 39 mg/dl. about what percent of young women in this age group will have cholesterol levels less than 150 mg/dl?
The percentage of cholesterol in young women between the age of 20 to 34 is 22.63 %
The mean of the cholesterol levels of young women = 185 mg/dl
The standard deviation = 39 mg/dl
The percentage of young women in this age group will have cholesterol levels less than 150 can be calculated using the normal distribution,
P(x < 150)
The standard form of this random sample can be found using the formula,
Z = (X - μ) / σ
where Z is the standard form
X is the random sample
μ is the mean
σ is the standard deviation
For x = 155,
Z = 155 - 185 / 39
= -30/39
= - 0.76923
Therefore, the standard form is
P(x < 150) = P(z < -0.7609)
By using the z-table, the value of the given z can be found.
P(z < -0.7609) = 0.2263
Therefore, the percentage of cholesterol levels is
= 0.2263 x 100
= 22.63 %
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If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
find the coefficient of x^26 in (x^2)^8
Answer: The coefficient of x^26 in (x^2)^8 is 0, since there is no term containing x^26 in the expansion.
Step-by-step explanation:
We can simplify (x^2)^8 as (x^2)(x^2)...*(x^2) with 8 factors, and then use the product rule of exponents, which states that when multiplying two powers with the same base, we add their exponents.
Applying this rule, we get: (x^2)^8 = x^(2*8) = x^16.
To get the coefficient of x^26 in this expression, we need to expand (x^2)^8 and look for the term that contains x^26.
This can be done using the binomial theorem: (x^2)^8 = (1x^2)^8 = 1^8x^(28) + 81^7*(x^2)^1x^(27) + 281^6(x^2)^2x^(26) + ... + 81^1(x^2)^7x^2 + 1^0(x^2)^8
We can see that the term containing x^26 is the third term in the expansion, which is: 281^6(x^2)^2x^(26) = 28x^12
Therefore, the coefficient of x^26 in (x^2)^8 is 0, since there is no term containing x^26 in the expansion.
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a data analyst has to create a visualization that makes it easy to show which of the top ten most populous cities in north carolina have a population below 250,000 people. what type of chart would be best for this visualization? 1 p
The data analyst should use a bar chart for the visualization that makes it easy to show which of the top ten most populous cities in North Carolina have a population below 250,000 people.
A bar chart is a graph that represents categorical data with rectangular bars.
The height or length of the bars is proportional to the values they represent.
The bars can be plotted either horizontally or vertically based on the data being presented.
They are frequently used to compare values across different categories by plotting the categories along the horizontal axis and the values along the vertical axis.
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Please help me please
The value of all the missing angles is in the measure of m∠1 = 88°, m∠2 = 42°, and m∠3 = 113°.
We know that,
Sum of all angles of triangle = 180°.
Therefore, m∠3 + 42° + 25° = 180°.
m∠3 = 180° - 67°
m∠3 = 113°
Vertical angles: Vertical angles are the angles that are opposite to each other when two lines cross.
We know that,
Vertical or opposite angles have equal measures.
So, 42° and m∠2 are vertical or opposite angles.
Therefore, the value of m∠2 = 42°.
Similarly, for m∠3, We know that,
Sum of all angles of triangle = 180°.
∴ ∠1 + ∠2 + 50° = 180°.
=> ∠1 + 42° + 50° = 180°
=> m∠1 = 88°.
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