Answer:
B' is (3,2)
Step-by-step explanation:
In the original B coordinate pair, 6 is the y-coordinate. When we talk about shifting images or points up or down, we will normally see a change in the y-coordinate. In this case, the image is being translated 4 units down, so subtract 4 from 6 to get 2 as your y-ccoordinate for B'. Since no horizontal shift is being made, the x-coordinate from the original B point stays the same and B' becomes (3,2).
Answer:
b is (3,2)
Step-by-step explanation:
ggchvvbggggghhh
-6n-2n=16
What are all the steps
Answer:
n = 2
Step-by-step explanation:
- 6n - 2n = 16
- 8n = 16
n = 16/-8
n = -2
Answer:
[tex] - 6n \: - 2n \: = 16[/tex]
[tex] = ) - 8n \: = 16[/tex]
[tex] = )n \: = \frac{16}{ - 8} [/tex]
[tex] = )n \: = - 2[/tex]
A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 6 hours. Rhonda can paint the same room in 3 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.
Answer:
2 hours.
Step-by-step explanation:
From the question given,
Wade can do the work alone in 6 hours.
Rhonda can do the same work in 3 hours.
Next, we shall determine how much work is done by Wade and Rhonda in 1 hour each. This is illustrated below:
If Wade can do the work alone in 6 hours.
Then Wade can do 1/6 of the work in 1 hour.
If Rhonda can do the same work in 3 hours.
Then Rhonda can do 1/3 of the work in 1 hour.
Next, we shall determine the work done by Wade and Rhonda when they work together. This is illustrated below:
Wade's 1 hour work = 1/6
Rhonda's 1 hour work = 1/3
Therefore, work done by Wade and Rhonda together in 1 hour = 1/6 + 1/3 = 3/6 = 1/2
Since they completed 1/2 of the work in 1 hour, it means they will complete the work in 2 hours.
Emily wants to use multiplication to solve 1/5 divided by 3=a
Answer:
[tex]a = \frac{1}{15}[/tex]
Step-by-step explanation:
Hey there!
To solve the given we'll use keep change flip.
[tex]\frac{1}{5} / 3 = a\\\\\frac{1}{5} *\frac{1}{3} = a\\\\\frac{1}{15} = a[/tex]
Hope this helps :)
Simplify.
-104
3(+ 1)?
Enter your answer, as a simplified fraction, in t
Please I need it now
Answer: I'll explore two options here. Your question wasn't entirely clear. If you meant a regular 2 step equation, this would be your answer:
-104(3+1)
-104(4)
416
However, if you meant -104/(3+1) this would be your answer:
-104 ÷ (3+1)
(3+1) = 4
-104 ÷ 4 = -26
Hope this helped!
The histogram shows the number of miles driven by a sample of automobiles in New York City. What is the maximum possible number of miles traveled by an automobile included in the histogram?
Answer:
The maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Step-by-step explanation:
A histogram is a bar graph reprinting the frequency of various categories.
In a histogram the y-axis represents the frequency and the x-axis represents the categories.
Consider the histogram provided for the number of miles driven by a sample of automobiles in New York City.
The y-axis represents the frequency and the x-axis represents the number of miles driven.
The category 10,000 miles has the highest frequency at 30.
And the maximum possible number of miles traveled by an automobile is 40,000 miles.
Thus, the maximum possible number of miles traveled by an automobile included in the histogram is 40,000 miles.
Answer:
42,500 miles
This is your correct answer
1. Use separation of variables to find the solution to the differential equation subject to the given initial condition.
dy/dx = 5y/x, y = 4 while x = 1
2. Find the solution to the differential equation, subject to the given initial condition.
4(du/dt) = u^2, u(0) = 7
Answer:
Step-by-step explanation:
Given the differential equation dy/dx = 5y/x subject to the condition y = 4 and x = 1. Using the variable separable method of solving differential equation, we will have;
dy/dx = 5y/x
Separate the variables
dy/5y = dx/x
Integrate both sides of the expression
[tex]\frac{1}{5}\int\limits \frac{1}{y} \, dy = \int\limits \frac{dx}{x} \\ \\\frac{1}{5}lny = lnx + C\\\\lny = 5lnx+5C\\[/tex]
using the initial condition y = 4 while x = 1
ln4 = 5ln1 + 5C
ln4 = 0+5C
C = ln4/5
Substituting the value of C back into the expression;
[tex]lny = 5 lnx+5(ln4/5)\\lny = 5lnx+ln4\\lny = lnx^5+ln4\\lny = ln(4x^5)\\y = 4x^5[/tex]
Hence the solution to the differential equation is y = 4x⁵
b) Given 4(du/dt) = u²
du/dt = u²/4
du/ u² = dt/4
u⁻²du = 1/4 dt
integrate both sides of the equation
[tex]\int\limit {u^{-2}} \, du = \int\limits\frac{1}{4} \, dt\\\\\frac{u^{-1}}{-1} = \frac{t}{4} + C\\\\\frac{-1}{u} = \frac{t}{4} + C[/tex]
Imputing the initial condition u(0) = 7 i.e when t = 0, u = 7
[tex]\frac{-1}{7} = \frac{0}{4} + C\\\\\frac{-1}{7} = C\\[/tex]
[tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]
Hence the solution to the DE is [tex]\frac{-1}{u} = \frac{t}{4} - \frac{1}{7}[/tex]
Given
f(x) = 3x + 10 and g(x) = x - 2, find f (g(5))
-10
23
None of these.
The value of the function f (g (5)) will be 10.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function are,
f(x) = 3x + 10 and g(x) = x - 2
Now,
Solve the function as;
f (g (5)) = f (5 - 2)
= f (3)
= 3 × 3 + 10
= 9 + 10
= 10
Thus, The value of the function f (g (5)) will be 10.
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identify the values of the coefficents in the quadratic equation 5x^2=4x+7
Answer:
5, -4, and -7
Step-by-step explanation:
5x² = 4x + 7
The standard form of a quadratic equation is
y = ax² + bx +c, where
a, b, and c are the coefficients.
If we convert your quadratic to the standard form, it becomes
5x² - 4x - 7 = 0
The coefficients are 5, -4, and -7.
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded to the nearest tenth?
Answer:
The answer is 17.5 unitsStep-by-step explanation:
Using the distance formula
[tex]d = \sqrt{ ({x2 - x1})^{2} + ({y2 - y1})^{2} } [/tex]the distance between (-10, 12) and (5, 3) is
[tex]d = \sqrt{ ({5 + 10})^{2} + ({3 - 12})^{2} } [/tex][tex]d = \sqrt{ {15}^{2} + ( { - 9})^{2} } [/tex][tex]d = \sqrt{225 + 81} [/tex][tex]d = \sqrt{306} [/tex][tex]d = 3 \sqrt{34} [/tex]d = 17.492855
We have the final answer as
d = 17.5 units to the nearest tenthHope this helps you
Answer:17.5
Step-by-step explanation:
3. John receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then he
spent $5 on coffee. Now he has $35 left. How much does John get paid each day for newspaper delivery?
a. Write an expression for the amount of money John earns for 4 days.
b. Use part a to write an expression to represent spending half of his money on gas.
c. Use part b to write an expression to represent spending $5 on coffee.
d. If John has $35 left, write an equation that can be used to find how much John gets paid each day. Solve.
Answer:
a. [tex]Total = 4P[/tex]
b. [tex]Gas = 2P[/tex]
c. [tex]2P - 5[/tex]
d. [tex]P = 20[/tex]
Step-by-step explanation:
Given
[tex]Amount\ received = P[/tex]
[tex]Number\ of\ days = 4[/tex]
[tex]Coffee = \$5[/tex]
[tex]Amount\ Left = \$35[/tex]
Calculating (a); the total amount earned;
[tex]Total = Amount * Days[/tex]
[tex]Total = 4 * P[/tex]
[tex]Total = 4P[/tex]
Calculating (b): Money Spent on Gas
From the question, we understand that 1/2 of his earnings is spent on gas;
Hence;
[tex]Gas = \frac{1}{2} * Total[/tex]
Substitute 4P for Total
[tex]Gas = \frac{1}{2} * 4P[/tex]
[tex]Gas = 2P[/tex]
Calculating (c): Expression for coffee
First, we need to calculate the amount left after buying Gas;
[tex]Amount = Total - Gas[/tex]
[tex]Amount = 4P - 2P[/tex]
[tex]Amount = 2P[/tex]
From this amount, he bough coffee of $5;
Hence; he's left with
[tex]2P - 5[/tex]
Calculating (d): Calculating his daily earnings
After (c) above, he has $35 left
So, we have
[tex]2P - 5 = 35[/tex]
Add 5 to both sides
[tex]2P - 5 + 5= 35 + 5[/tex]
[tex]2P = 40[/tex]
Divide through by 2
[tex]P = 20[/tex]
Hence, his daily earnings is $20
what is the mathmatical property of 7+(5-8)=(7+5)-8 out of Communicative and assoiative propetys and the other 2
Answer:
This demonstrates the associative property of addition which states that a + (b + c) = (a + b) + c. Basically, it states that it doesn't matter which order you add numbers in, you will always get the same result.
Pete the Handyman
Pete is a flooring contractor, he sets floor tile for a living. Pete submits a bid for each new job. Every
time he bids for a job, he measures the area of the floor that he will tile and then determines how
much material he will need. He charges the following prices for each job:
Foxed fee:
Labor and tile charge:
$250.00 (includes adhesive and grou)
$7.50 per
x will represent the number of square feet. y will represent the total cost of the project.
1.
Which equation represents Pete's bid?
y = 7.50x + 250
С.
y = 250x + 7.50
b.
y = 750x + 2.50
y= 2.50x = 750
solve this equation x-3=4
Answer:
x-3= 4
x= 4+3
Answer: x= 7
Answer:
x=7
Step-by-step explanation:
x-3=4
Adding 4on both sides
x-3+3=4+3
x=7
Hope it will help you :)
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are there to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
find the sum of the interior angles of a regular hexagon and hence the size of each interior angle
Answer: (a) 720°, (b) 120°
Step-by-step explanation:
A hexagon is a polygon with six sides.
Formula for finding the interior angle of a polygon = ( 2n - 4 )complementary
= ( 2n - 4 ) 90
complimentary angle is 90° or
= ( n - 2 )supplementary
supplementary angle is 180° . Now solving the question now since n = 6
we now put it in any of the formula above
( 2 x 6 - 4 ) x 90 = ( 12 - 4 ) x 90
= 8 x 90
= 720° or
( 6 - 2 ) x 180 = 4 x 180
= 720°.
The second part of the question, each size of the interior angle
= ⁷²⁰/₆
= 120°
How many grams is 6 ounces?
Answer:
170.097
Step-by-step explanation:
1 ounce = 28.3495 grams.
28.3495 x 6 = 170.097
Answer:
170.097 grams Mark me as brainliest!!!!
Step-by-step explanation:
An empty suitcase has a mass of 2 kilograms draw a bar model to find its mass in grams.(1 kilogram=1000grams)
Answer:
2000 kilograms
Step-by-step explanation:
Give the probability distribution for the indicated random variable. HINT [See Example 3.] (Enter your probabilities as fractions.) A red die and a green die are rolled, and X is the larger of the two numbers facing up. x 1 2 3 4 5 6
Full question attached
Answer explanation attached
Answer:
bottom right histogram fits the distribution
Step-by-step explanation:
we have chosen the bottom right histogram from the options as this fits the distribution best. It can be observed that probability for each outcome from 1(left from the table) increases till 6(right from the table)
For the scale factor n = 3, select a line segment other than LK that is not a vertical or horizontal line segment. Next, compute the slope m of your
line segment in the preimage and the image using the slope formula m= Show your work.
Answer:
Plato
Step-by-step explanation:
The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.
What is the scale factor?The Scale Factor is used to scale shapes in different dimensions. We study different geometrical shapes in geometry, both two-dimensional and three-dimensional. The scale factor is a metric for comparing figures with similar appearances but differing scales or metrics.
What are images and preimages?The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. The image is scale factor times preimage.
How do we determine the slope of a line?A line passing through the points (x₁, y₁) and (x₂, y₂) will have a slope
m = (y₂ - y₁)/(x₂ - x₁).
How do we solve the given question?We are asked to select a line segment other than LK, which is not a vertical or horizontal line segment, for the scale factor n = 3.
So, we have to select a preimage( other than LK), and its image (3 times the preimage).
So we select the preimage as HI and its image as H'I', as the scale factor between them is n = 3, and HI is not a vertical or horizontal line segment.
Now, we calculate their slopes.
For the preimage HI (slope is m₁):
HI passes through the points (2, 0) and (0, 2.5). Substituting these values in the slope formula, we get
m₁ = (2.5-0)/(0-2) = -2.5/2 = -1.25.
For the image H'I' (slope is m₂):
HI passes through the points (6, 0) and (0, 7.5). Substituting these values in the slope formula, we get
m₂ = (7.5-0)/(0-6) = -7.5/6 = -1.25.
∴ The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.
NOTE: The slopes of images and preimages are always the same as the image is just an enlarged or diminished form of the preimage.
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3. Find which of the following are in proportion:
(1) 12, 16, 6,8
Answer:
thus, the ratios 8 : 16 and 6 : 12 are equal
Step-by-step explanation:
8 : 16 and 6: 12
8 : 16 = 1/2
6: 12= 1/2
Thus, the ratios 8 : 16 and 6 : 12 are equal
greates common factor of 8x+2
Answer: 2
Step-by-step explanation:
Find the prime factors of each term
Name 1 thing you do regularly that involves math.
Answer:
Cooking., You either end up with great food because you measured the and use the right amount of ingredients or food that isn't the best because you used too little or too much ingredients.
Bonus) For Time Management, it involves math by scheduling activities and other things such things in life at certain times and some things should be met within certain time limits and such.
Answer: Hi!
Shopping! When you're shopping in a store, you have to calculate and estimate the prices of food and items in your head, (or on paper), so you know the total amount of money you are going to use. Many times the amount of money for an item is a fraction, too!
Hope this helps!
Round 72.46387 to the nearest hundredth
Answer:
Answer = 72.46
Answer: 72.46
Step-by-step explanation:
Nearest hundredth is second place to the right of decimal point
- 72.46387
- The second place to the right of decimal point is 6.
Look at the place after 6 to determine whether or not to move up.
- The next place is 3, and 3 is less than 5, so we keep the place.
72.46
Hope this helps!! :)
Please let me know if you have any question or need further explanation
A super-secret handshake is set up with every other person in a cabin. You and another person in the cabin have one handshake. Now there are 14 total people in the cabin. How many handshakes will there be in all?
Answer: 7 handshakes in all.
Step-by-step explanation:
If you and another person have one shake and there are 14 total people in the cabin that means that there will be 7 handshakes in all.
Find the average rate of change of f(x) with respect to x on the interval. [tex]f(x)=x^2-4 ; [-4,3][/tex]
Answer:
The average rate of function of f on the given interval is -1.
Step-by-step explanation:
Recall that the average rate of change is simply the slope of the function between two points.
We are given the function:
[tex]f(x)=x^2-4[/tex]
And we want to find its average rate of change on the interval [-4, 3].
Evaluate the two endpoints:
[tex]\displaystyle \begin{aligned} f(-4) & = (-4)^2 - 4 \\ \\ & = 16 - 4 \\ \\ & = 12\end{aligned}[/tex]
Likewise:
[tex]\displaystyle \begin{aligned} f(3) & = (3)^2 - 4 \\ \\ & = 9 - 4 \\ \\ & = 5\end{aligned}[/tex]
Recall that slope is given by:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]
Hence, the average rate of change is:
[tex]\displaystyle\begin{aligned} \text{Avg Rate of Change} & = \frac{(5)-(12)}{(3)-(-4)} \\ \\ &= \frac{-7}{7} \\ \\ & = -1\end{aligned}[/tex]
In conclusion, the average rate of function of the given function on the given interval is -
The answer is 4(d+14) I need that simplified? Help!!
Answer:
4d+56
Step-by-step explanation:
4(d+14) you must do distributive property to simplify this answer.
4d + 56 after distributing remove parentheses
Which expression is equivalent to (73)5 • 74 ?
This question is incomplete because the options are missing; here is the complete question:
Which expression is equivalent to (73) 5 • 74?
Select each correct answer:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
The answer to this question is 73 • 5 • 74
Explanation:
The symbol • represents multiplication, this implies the numbers 5 and 74 should be multiplied when solving this operation. Moreover, if the expression is simplified the same symbol or a multiplication symbol should be used.
Moreover, the lack of a symbol between these numbers and 73 indicates multiplication. Indeed, in algebra and some fields of mathematics, the multiplication symbol is omitted, and two numbers standing side by side with no symbol indicate the multiplication. Thus, it is correct to place a multiplication symbol between 73 and the other numbers.
PLZ HELP ASAP!! (Algebra)
Answer:
the relation is a function since one input provides us with only one output
outputs are the range since we know that range is the set of all possible outcomes
Express as a trinomial (2x+8)(x-3)
Answer:
[tex]\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24[/tex]
Answer:
2x^2+2x-24
Step-by-step explanation:
when you see two parentheses, you should first think : FOIL!
you take the First terms in each of the parentheses which is 2x and x and multiply them. (2x^2)
then you take the Outer terms in the parenthesis which is 2x and -3 and multiply them. (-6x)
then you take the Inside terms which is +8 and x and multiply them. (+8x)
lastly, you take the Last terms which is +8 and -3 and multiply them. (-24)
you should get this : 2x^2-6x+8x-24. combine like terms and there's your answer!
i also advise you to write down all your terms until you are familiar with this foil stuff. don't be ashamed if you need to write them down! you'll get the hang of it! :)
Please see picture attatched! Joanne wants to join a gym. As a member of the gym, Joanne must pay a registration fee as well as a monthly membership fee. The expression 24.72m + 49.95 represents the total amount Joanne pays for her registration and membership for m months. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. please look at the picture to see full!
Joanne has to pay monthly membership fees = $24.72 per month
And registration fee = $49.95
Here,
The given expression is 24.72 m + 49.95
Joanne has to pay registration fee as well as monthly membership.
And, m denotes the number of months.
We have to explain the different part of given expression.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Now,
The given expression is ;
⇒ 24.72 m + 49.95
Joanne has to pay registration fee as well as monthly membership.
Where, m denotes the number of months.
From the expression;
⇒ 24.72 m + 49.95
We can see that,
Joanne has to pay monthly membership fees = $24.72 per month
And registration fee = $49.95
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