Answer:
164 square feet
164 ft^2
Step-by-step explanation:
Base: 10 × 4 = 40 (×2 = 80)
Front/back face: 10 × 3 = 30 (×2 = 60)
Left/right face: 3 × 4 = 12 (×2 = 24)
Add: 80 + 60 + 24 = 164
Identify the angle relationships in the table.
Answer:
4 & 8 = Corresponding Angles | 6 & 7 = Linear Pair | 1 & 3 = Vertical Angles | 2 & 8 = Alternate Interior Angles
Step-by-step explanation:
whats the mean in 4, 8, 3, 9, 5
Answer:
The mean/average is 5.8
Step-by-step explanation:
The mean is the average
Step 1: Find the average
4 + 8 + 3 + 9 + 5
29 / 5
5.8
Answer: The mean/average is 5.8
The lengths of sides of a right triangle are 16 meters, 30 meters, and 34 meters. The triangle is dilated by a scale factor of 4,5. How many meters long is the hypotenuse of the new triangle?
Answer:
16mt + 30 mt
Step-by-step explanation:
your welcome!
What is subtracting fractions from mixed numbers for grade 4
Answer:
see below
Step-by-step explanation:
So when you have mixed numbers, you have to turn them into regular fractions. How you change them into regular fractions is multiplying the whole number by the denominator (the bottom number in the fraction) and then adding that number to the numerator (the top number in the fraction). So, for example you have
3[tex]\frac{2}{3}[/tex]
3 x 3 = 9
9 + 2 = 11
so, 3[tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
After you change the mixed fractions that you have into normal fractions, then you can normally subtract the two fractions. If they have the same denominator, then you just subtract the numerators like normal numbers and leave the denominators alone.
[tex]\frac{11}{3}[/tex] - [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{3}[/tex]
If there are different denominators, then you have to multiply one or more fractions by any number so that both fractions have the same denominator.
For example,
[tex]\frac{11}{3}[/tex] - [tex]\frac{7}{6}[/tex]
you have to multiply [tex]\frac{11}{3}[/tex] by two, so that the denominator will equal six. This is the only way that you will be able to add or subtract the two fractions.
2([tex]\frac{11}{3}[/tex]) = [tex]\frac{22}{6}[/tex]
[tex]\frac{22}{6}[/tex] - [tex]\frac{7}{6}[/tex] = [tex]\frac{22-7}{6}[/tex] = [tex]\frac{15}{6}[/tex]
Then, if you are asked to, this fraction can be simplified if you divide both the denominator and the numerator by [tex]\frac{3}{3}[/tex], so
[tex]\frac{15}{6}[/tex] divided by [tex]\frac{3}{3}[/tex] is equal to [tex]\frac{5}{2}[/tex].
This works because [tex]\frac{3}{3}[/tex] = 1.
Solve The Expression :
-6x + 5 – 4x < 45
Answer:
x > -4
Step-by-step explanation:
Step 1: To combine like terms means to add the same variable numbers together.
-6x + 5 - 4x < 45
-10x + 5 < 45
Step 2: Subtract 5 from both sides
-10x + 5 - 5 < 45 - 5
-10x < 40
Step 3: Divide both sides by -10
-10x / -10 < 40 / -10
Since you divided by a negative, you need to reverse/flip the sign.
x > -4
Answer: x > -4
Steps to solve:
-6x + 5 – 4x < 45
~Combine Like Terms
(-6x - 4x) + 5 < 45
~Simplify
-10x + 5 < 45
~Subtract 5 to both sides
-10x + 5 - 5 < 45 - 5
~Simplify
-10x < 40
~Divide -10 to both sides and switch the symbol since we're dividing a negative number
-10x/-10 > 40 / -10
~Simplify
x > -4
Best of Luck!
A softball pitcher has a 0.42 probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what is the probability that exactly 7 of them are strikes?
Round your answer to three decimal places.
Answer: 0.15
Step-by-step explanation:
7 (0.42)/ 20
How many digits are in a phone number including the area code
Answer:
11 digits
Step-by-step explanation:
x-xxx-xxx-xxxx
Counting these x's they would be 11. (if living in U.S.A)
The area code has 3 numbers. The first section has 3. Last section has 4. 6+4=10
There are 10 digits in a phone number.
Can u help me with my homework please it is a little bit harder then I thought
The distance around the pool is 43.96 m.
Solution:
The distance across the circle is diameter.
The distance around the circle is circumference.
The value of π = 3.14
Diameter of the circle = 14 m
Circumference of the circle = πd
= 3.14 × 14 m
Circumference of the circle = 43.96 m
The distance around the pool is 43.96 m.
Solve the expression :
-6x + 5 – 4x < 45
Answer:
x>-4
Step-by-step explanation:
-6x + 5 – 4x < 45
Combine like terms
-10x + 5 < 45
Subtract 5 from each side
-10x + 5 – 5 < 45-5
-10x< 40
Divide each side by -10, remembering to flip the inequality
-10x/-10 >40/-10
x >-4
two friends bought a $14 pizza. Each person bought their own drink. The total cost of the food can be represented by the expression $2x + $14. What expression represents the cost of food for one person
The expression representing the cost of food for one person is $x + $7.
For the expression that represents the cost of food for one person if two friends bought a $14 pizza, and each person bought their own drink at $2x (where x is the number of drinks).
To find the cost for one person, we start with the total cost expression $2x + $14. Since there are two friends, we divide this total cost by 2. The expression for the cost of food for one person is $x + $7. This represents the individual cost of one person's drink at $2x, divided by 2, plus half of the pizza cost, which is $14 divided by 2, resulting in $7.
397,864 to the nearest thousand
Answer:
398,000 is your answer.
Step-by-step explanation:
you round up at the 1000s place
The number 397,864 rounded to the nearest thousand is 398,000.
Explanation:
Rounding 397,864 to the nearest thousand means finding the closest whole number that is a multiple of 1,000. The thousands place digit is 7, so we look at the digit to the right of it, which is 8. Since 8 is greater than 5, we round up the thousands place digit to 8, and the rest of the digits become zeros. Therefore, 397,864 rounded to the nearest thousand is 398,000.
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Write the equation of a line in slope-intercept form whose slope is 6 and y-intercept is -7
Answer:
y = 6x - 7
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 )
Here m = 6 and c = - 7, thus
y = 6x - 7 ← equation of line
Final answer:
The equation of the line with a slope of 6 and y-intercept of -7 is y = 6x - 7.
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b is the y-intercept. In this case, we are given a slope (m) of 6 and a y-intercept (b) of -7. Thus, by substituting these values into the slope-intercept formula, we get the equation of the line as y = 6x - 7.
what does 0.1 X 9670 and 0.01 X 9670 equal to?
Answer:
See explaination
Step-by-step explanation:
Multiply 9670 by 0.1, you get 967
Multiply 9670 by 0.01, you get 96.7
30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
PLEASE PLEASE DUE TODAY!!!
Final answer:
To solve for A and B, we translated the word problem into two algebraic equations and then solved the system of equations step-by-step to find that A equals 200 and B equals 250.
Explanation:
We are given two equations based on the relationship between 30% of number A and 20% of number B, and vice versa. Let's translate the words into algebraic expressions where A and B represent the numbers we need to find:
0.30A = 0.20B + 10 (Equation 1)
0.30B = 0.20A + 35 (Equation 2)
Now let's solve this system of equations step-by-step:
Multiply both sides of Equation 1 by 10 to clear out decimals: 3A = 2B + 100.
Multiply both sides of Equation 2 by 10 as well: 3B = 2A + 350.
Rearrange Equation 1 to get A on its own: A = (2B + 100) / 3.
Substitute the expression for A from step 3 into Equation 2: 3B = 2((2B + 100) / 3) + 350.
Multiply through by 3 to clear the fraction: 9B = 4B + 200 + 1050.
Simplify to find B: 5B = 1250, so B = 250.
Substitute B back into the equation from step 3 to find A: A = (2(250) + 100) / 3, so A = 200.
Therefore, the numbers we are looking for are A = 200 and B = 250.
In which set does −173 belong?
Answer:
Step-by-step explanation:
rational number
6yd 7yd 3yd Find the volume of this rectangular pyramid.
Answer: The volume is 126 yards
Step-by-step explanation:
Answer:
the answer is 128
Step-by-step explanation:
first, i did 6x7 and got 42
then, i muutiplied 42 and 3 and got 128
thank me
If (6,39) and (-5,-49) are two anchor pint find the equation of the line
Answer:
[tex]y =8x+9[/tex]
Step-by-step explanation:
The points are (6,39) and (-5,-49)
We need to find the equation of this line.
The slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]m = \frac{ - 49 - 39}{ - 5 - 6} [/tex]
[tex]m = \frac{ - 88}{ - 11} [/tex]
[tex]m = 8[/tex]
We use the formula:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point (6,39) and m=8 to get:
[tex]y - 39 = 8(x - 6)[/tex]
We expand to obtain:
[tex]y - 39=8x-48[/tex]
[tex]y =8x-48 + 39[/tex]
[tex]y =8x + 9[/tex]
To find the equation of the line passing through two points, we can use the point-slope form of a linear equation:
[tex]\[y - y_1 = m(x - x_1)\][/tex]
Where:
- [tex]\( (x_1, y_1) \)[/tex] is one point on the line.
- [tex]\( m \)[/tex] is the slope of the line.
First, let's find the slope (\(m\)) using the two given points:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Given points:
[tex]\( (x_1, y_1) = (6, 39) \)\( (x_2, y_2) = (-5, -49) \)\[ m = \frac{-49 - 39}{-5 - 6} \]\[ m = \frac{-88}{-11} \]\[ m = 8 \][/tex]
Now, we have the slope (\(m\)). We can choose either of the two given points and plug them into the point-slope form. Let's use \( (6, 39) \):
[tex]\[ y - 39 = 8(x - 6) \][/tex]
Now, we can simplify this equation to get it into slope-intercept form (\(y = mx + b\)):
[tex]\[ y - 39 = 8x - 48 \]\[ y = 8x - 48 + 39 \]\[ y = 8x - 9 \][/tex]
So, the equation of the line passing through the points (6, 39) and (-5, -49) is [tex]\( y = 8x - 9 \).[/tex]
How do you write 11/3 as a whole number?
Answer: 11/3 is a fraction that cannot be written as a whole number
Step-by-step explanation:
11/3 is a fraction that can only be reduced to 3 2/3
Draw a picture that shows 1/4*3 explain in words your picture with connections to the expression
Answer:
look at pic
Step-by-step explanation:
1 hundeedth+3 tenths= ? hunderdth
Answer:
0.31
Step-by-step explanation:
one hundredth is 0.01 and 3 tenths would be 0.3 so just add those two together :)
What is the volume of this?
Answer:
Step-by-step explanation: 288
Calculate y' using chain rule. y = (e ^ (1 / x))/(x ^ 2)
Answer:
The answer is [tex]y^{'} =e^{\frac{1}{x} } (2x-1)[/tex]
Step-by-step explanation:
First of all, we have product of 2 functions [tex]e^{1/x}[/tex] and [tex]x^{2}[/tex]
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}[/tex]
Let [tex]u=e^{1/x}[/tex] and [tex]v=x^{2}[/tex]
using chain rule for [tex]u[/tex], [tex]\frac{du}{dx}=-\frac{1}{x^2}[/tex]
and [tex]\frac{dv}{dx}=2x[/tex]
Therefore,
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}=e^{1/x}(2x)+x^{2} (-\frac{1}{x^2})=e^{1/x}(2x-1)[/tex]
Use the set of data to calculate the measures that follow.
0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
Choose each correct measure.
Mean =
Median =
Range =
Interquartile range =
Answer:
Mean=3.5Median=3.5Range=6Interquartile=1Step-by-step explanation:
Given set of data is 0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
To find Mean , Median , Range and Interquartile range :First finding Mean
[tex]Mean=\frac{sum of the observations}{number of observations}[/tex][tex]=\frac{0+2+3+3+3+3+3+4+4+4+4+5+5+6}{14}[/tex][tex]=\frac{49}{14}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Mean=3.5Median:Since the number of observations is even, so the meadian becomes [tex]Median=\frac{sum of the two mid terms}{2}[/tex][tex]=\frac{3+4}{2}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Median=3.5Range:Range=greatest value-least valueIn the given observations we have greatest value is 6 and least value is 0Therefore Range=6-0Therefore Range=6Interquartile:From the observations we have [tex]Q_1=3[/tex] and [tex]Q_3=4[/tex][tex]Interquartile=Q_3-Q_1[/tex][tex]=4-3[/tex]Therefore Interquartile=1Answer:
Mean: 3.5
Median: 3.5
Range: 6
Interquartile range: 1
Step-by-step explanation:
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
Answer:
y = 3/2.
Step-by-step explanation:
This is the ratio of the coefficients of the terms in x of highest degree of the function:
y = 3/2.
Use the Distributive Property to find 3(13+5) written as an equivalent expression.
Answer:
54 or as an expression (3 * 13) + (3 * 5)
Step-by-step explanation:
Step 1: Distribute
To distribute means to break the parenthesis apart. To make two different combinations.
3(13 + 5)
(3 * 13) + (3 * 5)
Step 2: Multiply it out
(3 * 13) + (3 * 5)
39 + 15
54
Answer: 54 or as an expression (3 * 13) + (3 * 5)
Answer: 39 + 15
Step-by-step explanation: 3(13 + 5) can be simplified by distributing the 3 through both terms that are inside the parentheses.
So we have 3(13) + 3(5) which simplifies to 39 + 15 or 54.
So 3(13) + 3(5) is an equivalent.
Marvin Martian, Aly Alien, and Hank Human are all looking for a hidden spaceship. Their probabilities of
finding the spaceship first are as follows:
P(Marvin wins) = 30%
P(Aly wins) = 0.2
P(Hank wins)
Put the following events in order from least to most likely.
Aly wins
Hank wins
Marvin wins
Answer: Aly , Marvin, Hank
Step-by-step explanation:
Aly has the lowest with 20, Marvin has 30, and hank has 50. it says least to mostly likely to win
The question pertains to probabilities. It has been determined that the most probable event is either Hank winning or Marvin winning, and it's least likely for Aly to win.
Explanation:The question is regarding the probability of three individuals, Marvin Martian, Aly Alien, and Hank Human, finding a hidden spaceship first. We know the probabilities of Marvin and Aly finding it first but the probability of Hank finding it is not given.
However, from the properties of probability, we know that the sum of the probabilities for all possible outcomes is 1. Therefore, if we add the probabilities of Marvin and Aly finding the spaceship first, we get 0.30(30%) + 0.2(20%) = 0.5(50%). We then subtract this from 1 to get Hank's probability, which is, therefore, 1 - 0.5 = 0.5(50%).
So, in order from least to most likely: Aly wins (0.2 or 20%), then Hank and Marvin are equally likely to win (0.5 or 50% each).
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What is 0.7(repeating) as a fraction in simplest form? show work
Answer:
0.7=7/10
this is the fraction in the simplest form
Step-by-step explanation:
1. What are the solutions (coordinate points) to the system of equations?
y=x^2+5x+6 and y=3x+6
2. Prove algebraically what type of function this is (even, odd, or neither).
f(x)=x^6-x^4
3. Given the function f(x)=x^2+3x-2
What is the average rate of change for the function from 2 to 6? Show your work.
Question 1
The given system of equations is:
[tex]y = {x}^{2} + 5x + 6 \\ y = 3x + 6[/tex]
Equate the two equations:
[tex] {x}^{2} + 5x + 6 = 3x + 6[/tex]
Rewrite in standard form:
[tex] {x}^{2} + 5x - 3x + 6 - 6 = 0[/tex]
[tex] {x}^{2} + 2x = 0[/tex]
[tex]x(x + 2) = 0[/tex]
[tex]x = 0 \: or \: x = - 2[/tex]
When we put x=0, in y=3x +6, we get:
[tex]y = 3(0) + 6 = 6[/tex]
One solution is (0,6)
When we put x=-2, into y=3x+6, we get:
[tex]y = 3( - 2) + 6 = 0[/tex]
Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is
[tex]f(x) = {x}^{6} - {x}^{4} [/tex]
Let us put x=-x,
[tex]f( - x) = {( - x)}^{6} - {( - x)}^{4} [/tex]
This gives:
[tex]f( - x) = {x}^{6} - {x}^{4} [/tex]
We can observe that:
[tex]f(x) = f( - x)[/tex]
This is the property of an even function.
Question 3:
The given function is
[tex]f(x) = {x}^{2} + 3x - 2[/tex]
The average rate of change of f(x) from x=a to x=b is given as:
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change
[tex] = \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11[/tex]
The average rate of change is 11
On a winters day, the average temperature during the daytime is 40°F. At night the temperature falls to 24°F. What is the percentage decrease?
Answer:
40%
Step-by-step explanation:
so first we can calculate what percentage of 40 24 is
we can do that with 24/40 which equals 0.6, or 60 percent
100-60
that means that there was a 40 percent decrease.
The fraction bar represents which equation?
Answer: The last option
Step-by-step explanation:
3/4÷1/8=6
This is the answer because this is the only equation that gives a true answer all the others give an incorrect answer.