Answer:
(a - b)²
Step-by-step explanation:
We are given 2 (a - b) terms.
We can rewrite this as (a - b)².
Help
The diameter of the circle is 8in
Answer:
25.13 or 8pi
Step-by-step explanation:
Can you help me put these in order please
Step-by-step explanation:
8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566
Answer: least to greatest
8.4, 8.41, 8.485, 8.538, 8.55, 8.566
least to greatest
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
The average price of a 30 second commercial for the 2002 Super Bowl was $1,900,000. What was the price per second?
Answer:
$63,333.33
Step-by-step explanation:
Divide 1,900,000 by 30 to get $63333.3333....which technically just rounds to $63333.33, and if you want to go further, $63333.
PLEASE HELP
Evaluate 6 + 10v – 8w when v=4 & w= -2
Answer:
6 + 10v – 8w = 62
Step-by-step explanation:
Given the expression
6 + 10v – 8w
as
v=4w=-2substituting the values in the expression
6 + 10v – 8w = 6 + 10(4) - 8(-2)
= 6 + 40 + 16
= 62
Find the surface area
Check the picture below.
so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)
so now let's get the areas of those triangles and those rectangles.
\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)
Please help I'm stuck on a math problem and please help.Hi, can you please help me with my math? Please help me please that's all I'm asking and thank you so much.
We are given a line segment AB with endpoints A(-1. -1) and B(7, 5).
The midpoint of this line segment AB is M with coordinates M(3, 2)
(a) Draw the perpendicular bisector of AB
A perpendicular bisector can be constructed using a compass.
This bisector will be perpendicular (exactly 90°) to the line AB and will pass through the midpoint of line AB.
The bisector drawn above is not drawn to the scale but rather just to give you an idea how it would look like.
The slope of this bisector line and the slope of the line AB will be negative reciprocal of each other.
\(m_{BS}=-\frac{1}{m_{AB}}\)Since we are given the endpoints of line AB, we can find its slope as
\(m_{AB}=\frac{y_2-y_1}{x_2-x_1}=\frac{5-(-1)}{7-(-1)}=\frac{5+1}{7+1}=\frac{6}{8}=\frac{3}{4}\)So, the slope of the line AB is 3/4.
Then the slope of the perpendicular bisector line will be
\(m_{BS}=-\frac{1}{m_{AB}}=-\frac{1}{\frac{3}{4}}=-\frac{4}{3}\)Therefore, the slope of the perpendicular bisector line is -4/3
(b) Write the equation of the line you drew in (a)
We are asked to find the equation of perpendicular bisector line
We already know its slope and also know that the bisector line passes through point M(3, 2)
Recall that the equation of the line in point-slope form is given by
\((y-y_1)=m(x-x_1)_{}\)Substitute the values of slope and the point into the above equation and solve for y
\(\begin{gathered} (y-2_{})=-\frac{4}{3}(x-3_{})_{} \\ y-2=-\frac{4}{3}x+\frac{4}{3}\cdot3_{} \\ y-2=-\frac{4}{3}x+4_{} \\ y=-\frac{4}{3}x+4+2 \\ y=-\frac{4}{3}x+6 \end{gathered}\)Therefore, the equation of the perpendicular bisector line is
\(y=-\frac{4}{3}x+6\)what is the sum of 21 and 5 times a number f is 61
Answer:
f = 8
Step-by-step explanation:
21 + 5f = 61
5f = 61 - 21
f = (61 - 21) / 5
f = 8
Answer:
f = 8
Step-by-step explanation:
"Sum" = addition
"Times" = multiplication
Write an equation to represent this scenario
21 + 5 * f = 61
Multiply 5 by f
21 + 5f = 61
Subtract 21 from both sides of the equation
5f = 40
Divide both sides of the equation by 5
f = 8
Hope this helps :)
Her bill was $140 after receiving a 15% discount. What was the original amount of the sale
The original amount of the sale is $165
What was the original amount of the sale?The given parameters are:
Bill after discount = $140
Discount = 15%
The original amount of the sale is calculated as:
Bill after discount = original amount * (1 - Discount)
So, we have:
140 = original amount * (1 - 15%)
This gives:
140 = original amount * 0.85
Divide by 0.85
Original amount = 165
Hence, the original amount of the sale is $165
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Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
the height of a house having three rooms of the dimensional 9 feet into 12 feet 14 feet into 16 feet and 12 feet into 14 feet respectively is 90 Feet what will be the amount required to paint on all was from inside at the rate of 160 per square feet
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
the point r is a weighted average of points s and t. The weight on point t is 0.625. What is the weight on point s?
Let w be the weight on point s. Since the sum of the weights is 1, the weight on point t is 0.625, we can write:
w + 0.625 = 1
Subtracting 0.625 from both sides, we get:
w = 1 - 0.625 = 0.375
Therefore, the weight on point s is 0.375.
What is the value of the expression below when y=2 AND z=8?
8y-z
Answer:
Step-by-step explanation:
Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
I need the answer fast!!!!!!!!
A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from 50 parts. Selected parts are not replaced. How many different samples are there of size six that contain exactly 2 defective parts? What is the probability that a sample contains exactly 2 defective parts?
Answer:
535,095 different samples of size six that contain exactly 2 defective parts.
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
As the order of the parts is not important, the combinations formula is used to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
How many different samples are there of size six that contain exactly 2 defective parts?
2 defective from a set of 3, and 4 non-defective from a set of 47. So
\(D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095\)
535,095 different samples of size six that contain exactly 2 defective parts.
What is the probability that a sample contains exactly 2 defective parts?
The total number of samples is:
\(T = C_{50,6} = \frac{50!}{6!44!} = 15890700\)
Then...
\(p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337\)
0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.
PLEASE HELP
Describe in words where the square root of forty-eight would be plotted on the number line. Between 7 and 8, but closer to 7 Between 7 and 8, but closer to 8 Between 6 and 7, but closer to 6 Between 6 and 7, but closer to 7
On a number line, the value C that represents the square root of 24 would be located between 6 and 7, although it would be closer to 6. Option C is correct
Explain the concept of a number line.?A horizontal line with number increments that are uniformly spaced apart is called a number line.
The answers to the number on the line will be determined by the numbers that are already on the line.
The inquiry that follows the number explains how it will be used, such as by charting a spot in the data.
Number lines are extremely versatile manipulatives that can be used for a wide variety of mathematical operations, including finding numbers, comparing numbers, working with fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, and common denominators, and much more.
Find the point on the number line that corresponds to the value -37 by doing the following:
As is well knowledge, the value of 37 is 6.082.
If we round the number up to the next whole number, we get 6.
Therefore, the answer is somewhere between 6 and 7, although probably closer to 6.
On a number line, the value C that represents the square root of twenty-four would be located between 6 and 7, although it would be closer to the number 6.
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Plsss helo me with this 20 points!
Answer:
8 trust me brainliest and 5 star pls......
Step-by-step explanation:
Which statement(s) are true? multiple choice question
Step-by-step explanation:
the more likely an event the closer it is to being certain
the more unlikely an event the closer it is to being impossible
help please! need it asap
Answer:
AE = 19 and <EDC = 59
Step-by-step explanation:
i am almost positive that those are both right
Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
10.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to calculate the hypotenuse.
We know the opposite side from the angle labeled 59 degrees.
sin 59 = opp side / hypotenuse
sin 59 = 9.2/x
x = 9.2/ sin 59
x = 10.733
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
A randomized study compared two drugs that are designed to increase a child's human growth hormone level. It was found that over a 1-year period, those receiving Drug A increased their hormone level by a mean of 28 IU. Those receiving Drug B increased their hormone level by a mean of 15 IU (IU = International unit).
To determine whether the results are significant, the data are rerandomized and the difference of the means is shown in the dot plot.
What is the best conclusion to make based on the data?
The greatest inference we can draw from the data presented and the dot plot, however, is that there is proof indicating that Drug A is much more likely than Drug B to increase levels of human growth hormone.
What does the term "growth" mean?the process of developing; progressive expansion; the act or activity of growing.
According to the provided dot plot, there appears to be a considerable variance in both medications' capacities to raise levels of human growth hormone. There is little crossover in the pieces of data for the two medicines, and the mean rise for Drug A is obviously greater than the average rise for Drug B.
We would need to do a formalized hypothesis test, which might involve a t-test, and generate a p-value to establish to see if this variance has statistical significance. We could conclude that the variation in averages is statistically significant if the p-value is less than a predetermined significance criterion (for example, 0.05).
The most important conclusion that can be made from the data and dot plot is the existence of evidence that suggests Drug A is much more probable that Drug B to enhance levels of growth hormone in humans. Further statistical analysis would be required to confirm the relevance of this divergence.
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The stage 2 triangle has side length of one-half.a) Find the height of one of the triangles in stage 2.b) Find the area of one of the triangles in stage 2. Be sure to simplify.
We will have the following:
A) The height of one of the triangles in stage 2 is also one-half.
B) The area would be:
\(A=\frac{(\frac{1}{2}b)(\frac{1}{2}h)}{2}\Rightarrow A=\frac{1}{8}bh\)So, the area would be 1/8bh [Since the values of b & h are unknown they remain as variables].
***Explanation***
We can see that at stage 2 each base if each triangle is equivalent to one-half of the triangle at stage 1. From this, we can see then, that "the middle" of the triangle would be given by the interception point of both bases at stage 2, and since the height of the triangle at stage 1 has a measurement of "h" [We name h the height of the triangle] then, the height of each individual triangle at stage 2, will also be one-half of the original.
Which of the following represents the graph of f(x) = 3x − 2?
graph of exponential rising up to the right, through the point 0, 3
graph of exponential rising up to the right, through the point 0, negative 1
graph of exponential rising up to the right, through the point 0, 1
graph of exponential rising up to the right, through the point 0, negative 2
Answer:
graph of exponential rising up to the right, through the point 0, negative 2
Step-by-step explanation:
I graphed the function on the graph below so you can see that it rises to the right and goes through the point (0,-2).
Answer:
graph of exponential rising up to the right, through the point 0, negative 2
Step-by-step explanation:
f(x)=3x-2
f(0)=3*0-2= -2
(0, -2) is the last given option
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
Can someone help with this please?
Answer:
function 1 is non linear and function 2 is linear
Which is the label of the ordered pair (1,3)?
1. V
2.W
3.X
4. Y
5. Z
Answer:
dude. its 4.Y