Answer:
The length scale factor = \(\frac{24}{6} = 4\)
The area scale factor = \(4^2 = 16\)
\[\text{Larger area} = 16 \times \text{smaller area}\]
\[50.3 \times 16 = 804.8\]
The area of the large clock face is approximately 804.8 cm2.
Step-by-step explanation:
The length scale factor = \(\frac{24}{6} = 4\)
The area scale factor = \(4^2 = 16\)
\[\text{Larger area} = 16 \times \text{smaller area}\]
\[50.3 \times 16 = 804.8\]
The area of the large clock face is approximately 804.8 cm2.
Answer:
a) the linear scale factor = 5/3
b) the volume scale factor = 125/27
c) 70.2 cm³
Step-by-step explanation:
r₁ = 15 cm, r₂ = 25 cm
r₂/r₁ = 25/15 = 5/3
They are similar, so h₂/h₁ = 5/3
a) the linear scale factor = 5/3
b) the volume scale factor = (5/3)³ = 125/27
c) V₂/V₁ = 125/27
Given V₂ = 325 cm³, V₁ = 325*27/125 = 70.2 cm³
A line is drawn parallel to y = x. It has the same slope, so it’s equation has the form y = x + b. The new line passed through the point (2, 5). What is its y- intercept (b)?
Answer:
b = 3
Step-by-step explanation:
(2,5) is information! x = 2 and y = 5.
Use these values in the equation:
y = x + b
5 = 2 + b
Subtract 2.
3 = b
The equation of the line is y = x + 3.
Pete can do a job in 50 minutes while his brother Jim can do it in 1/2 the time. How long will it take them to do the job working together? (50/3 min)
It will take them 20 minutes to do the job working together.
Working time calculationGiven that Pete can do a job in 50 minutes while his brother Jim can do it in 1/2 the time, to determine how long it will take them to do the job working together, the following calculation must be performed:
1/1 + 2/1 = 3/11 / (3/1) = 1/360 min / 3 = 20 minTherefore, it will take them 20 minutes to do the job working together.
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what is 3/4X + 2 = 3/8X
Answer:
exact form: -16/3
decimal form: -5.3
mixed number form: -5 1/3
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
3/4X + 2 = 3/8X
3/4X - 3/8X = - 2
(3/4 - 3/8)X = -2
((6-3)/8)X =-2
3/8X = -2
3X = (-2)(8)
3X = -16
X = -16/3
Help please need the answers now
Answer:
j(x) matches #3
g(x) matches #2
f(x) matches #4
h(x) matches #1
what unit of measurement would you use to weigh a elephant Oz * mm lb
Answer:
You would use lbs.
Step-by-step explanation:
mm is a unit of distance.
Oz is too small of a unit for weight.
lbs are just right!
Leslie sold 2 1/2 dozen sweet rolls
100 Points
Use geometry to evaluate the integral from negative 2 to 6 of f of x, dx where f of x equals the absolute value of x for x between negative 2 and 2 inclusive, equals 2 for x greater than 2 and less than or equal to 4, and equals negative x plus 4 for x greater than 4 and less than or equal to 6.
Answer:
[tex]\int\limits^{6}_{-2} {f(x)} \, dx=6[/tex]
Step-by-step explanation:
Review the attached graph
By using geometry to evaluate the given integral, the value is equal to 6 units.
How to use geometry to evaluate an integral?In order to use a geometry to evaluate a definite integral, you should identify the portion of a graph which corresponds to the given integral.
Also, you'll mark out the geometric shapes that are formed on the graph, so as to enable you calculate their areas. Finally, you'll add the areas together.
From the graph of the integral shown in the image attached below, the geometric shapes that are formed are rectangle and triangles.
For the area of rectangle, we have:
Area of rectangle = L × B
Area of rectangle = 2 × 2
Area of rectangle = 4 units.
For the area of triangle, we have:
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 2 × 2
Area of triangle = 2 units.
Total area = 4 + 2
Total area = 6 units.
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PLZZZZZ HELP ME ILL MAKE YOU BRAINLIEST ANSWER PLZZZZZZ THANKYOUUU!!!!!!
Answer:
It would be neither.
Step-by-step explanation:
It definitely is not parallel since Line 1 would run into Line 2 at (4, 1). Nor could it be perpendicular because they do run into each other but do not make a 90 degree angle.
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
2 lb
1.5 lb
3 lb
Answer:3
Step-by-step explanation:
15 percent of 20 pounds is 17 subtract 17 from 20 equals 3
100-point Question!!!
Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two and describe any simplification that can be done.
Answer:
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)
h(x) = \frac{f(x)}{g(x)}h(x)=
g(x)
f(x)
h(x) = f(g(x))h(x)=f(g(x))
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
f(x) = 75+ 10xf(x)=75+10x
The savings function is given as
s(x) = 85s(x)=85
The allowance function is given as:
a(x) = 10(x - 1)a(x)=10(x−1)
The new function that combined his savings and his allowances is calculated as:
f(x) = s(x) + a(x)f(x)=s(x)+a(x)
Substitute values for s(x) and a(x)
f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)
Open bracket
f(x) = 85 + 10x - 10f(x)=85+10x−10
Collect like terms
mark as brainiest
f(x) = 85 - 10+ 10xf(x)=85−10+10x
f(x) = 75+ 10xf(x)=75+10x
(Multiple choice question) suppose you take out a $7,200 personal unsecured loan at 12.75% APR and you are going to pay it back over 9 years. What is the total amount that you will pay back over the life of the loan
A. 7,200.00
b. 12,13.00
C. 11,807.00
Answer:
B
Step-by-step explanation:
I think its b but its 12,130 not 12,13 lol
You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?
Will mark the brainliest!
Please someone explain this to me. Needs to be tonight!
Answer:
The one-time security deposit is just 575, if you add it to the cost of renting the beach house, you then get y, which is the total cost of everything. haha, its logical.
so,
The one-time security deposit is just 575.
and
The cost of renting the beach house is 151x.
while
The total cost of the rental is y, i.e 151x + 575.
Answer:
575Step-by-step explanation:
The answer is included in the question already
The cost of renting = security deposit + rental per day
y - is total cost of rentingOne off security deposit = 575Rental cost = 151 per daySo the answer is 575
The price of a cd was decreased by 2% to £14. What was the price before the decrease?
Give your answer to the nearest penny.
Answer:
14.28
Step-by-step explanation:
2% of 14 is .28
.28 + 14 = 14.28
Hi!
Since the price was decreased by 2%, that means that 14 is 98% (100% - 2%) of the original price. So, we just have to figure out 98% of what number is 14.
98% can be written in decimal form as 0.98.
We can set up the following equation:
14 = 0.98x
Now, divide both sides by 0.98:
14/0.98 = 14.2857143
The question says to round to the nearest penny, so your answer is
14.29The verbal expression “the difference between
three times a number x and 12, increased by the quotient of 5 and the number x" is equivalent to which algebraic expression?
A. 3(x-1)+x/5
B. (3x-12)+5/x
C. 3(x-12)+5+x
D. (3x-12)+5x+x
Answer:
B. (3x-12)+5/x
Step-by-step explanation:
Difference means - or minus
Three times a number x and 12= 3x-12
Increased= + or plus
quotient= / or divide
5 and the number x= 5/x
So the answer is,
(3x-12)+5/x
I hope you understand.
What is the value of 6C5?
A. 6
B. 24
C. 30
D. 720
Answer:
A
Step-by-step explanation:
Using the combinations formula, we get (6!)/(5! 1!)=6.
root of 6x^2 -8 = -8x
Answer:
If your question is set up like this [tex]\sqrt{6x^2-8}=-8x[/tex] then your answer is No solution.
If your question is set up like this[tex]\sqrt{6x^2}-8=-8x[/tex] then your answer is [tex]x=\frac{4(8-\sqrt{6}) }{29}[/tex] or x = 0.765
Hope this helps!
Find the value of x. enter value only
Answer:
9
Step-by-step explanation:
The product of the secant lengths BC and BD is equal to the square of the tangent length BA.
BC×BD = BA²
3×(3 +x) = 6²
3 +x = 12 . . . . . divide by 3
x = 9 . . . . . . subtract 3
_____
Additional comment
Sometimes the relationships involving secants, tangents, and chords can be difficult to remember. There is basically one rule that applies to all of these geometries:
the product of segment lengths to the circle from the point of intersection of the secants/tangents/chords is the same
A tangent can be thought of as a secant that has a length of 0 between its end points. That is, the two lengths from the point of intersection to the circle are the same.
Here is an example of this rule applied to chords:
https://brainly.com/question/27160911
An iPad is marked down from $700 to $575. What is the percent markdown of the iPad?
Solution:
the percent markdown of the iPad is 17.86%
Given:
Original Price = $700
Final price = $575
The markdown is gotten by;
[tex]Markdown=original~price-final~price[/tex]
[tex]Markdown=700-575[/tex]
Markdown = $125
Thus, the percent markdown is gotten by;
[tex]percent~markdown=\frac{markdown}{original~price}~x~ 100[/tex]
percent markdown = [tex]\frac{125}{700}[/tex] × 100%
percent markdown =[tex]\frac{12500}{700}[/tex]
percent markdown = 17.857 %
percent markdown ≈ 17.86%
Therefore, the percent markdown of the iPad is 17.86%
Hope this helps!!
If you have any questions please ask.
Congratulations! You just landed your dream job. You have three choices for your salary. Which of the following options would result in the greatest payday at the end of your first month of employment?
a. You can receive a lump sum of $1,500,000.
b. You can receive $50,000 initially and $100,000 per day for the next 30 days.
c. You can receive $.02 on the first day and double the amount received each day for the next 30 days.
Answer:
(b)
Step-by-step explanation:
a=1,500,000
b=3,050,000
Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:
a)
Lump sum of $1,500,000
The total amount is $1,500,000.
b)
$50,000 initially and $100,000 perday for the next 30 days
The total amount is $50,000 (initial) + $100,000/day * 30 days
T = $50,000 + $3,000,000
On simplifying the equation , we get
T = $3,050,000
Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday
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How many ounces of a 18% alcohol solution and a 26% alcohol solution must be combined to obtain 34 ounces of a 22% solution?
Answer: 54 or 100 lol oozy
Step-by-step explanation: Nothing that's just the answer
Answer:
18% alcohol 17 ounces, 26% alcohol 17 ounces
Step-by-step explanation:
set some equation
18%x + 26%y = 34x22%
34= x + y
-3
6
9
10
Espalio
14
12
13
A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 40 gallons of gas. The two cars drove a
combined total of 1700 miles, and the sum of their fuel efficiencies was 50 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Note that the ALEKS graphing calculator can be used to make computations casier
Answer:
the fuel efficiencies of the first car was 15 while the second car was 35
Which of the following expresses 2.4 as a fraction in simplest form?
D. 2 4/9
[tex]\sf 2\dfrac{1}{4} \rightarrow 2.25[/tex][tex]\sf 2\dfrac{2}{5} \rightarrow 2.4[/tex][tex]\sf 2\dfrac{11}{25} \rightarrow 2.44[/tex][tex]\sf 2\dfrac{4}{9} \rightarrow 2.444444...[/tex]
Note: the symbol on top of 4 - means that the number is recurring/repeating infinitely.
Answer: (D) just did the unit test review on edge
Step-by-step explanation:
Rational function
g(x) = 1 / (x-3) +2
Find x and y intercepts
Graph
Answer:
[tex]x \: intercept = ( \frac{5}{2} ,0) \\ y \: intercept = (0, \frac{5}{3} )[/tex]
Step-by-step explanation:
STEP 1: Define x and y intercepts
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
Step 2: We plot the graph of the given function
The graph can be seen in the graph image I sent. The x and y intercepts are also identified.
Emma's family traveled 5/8 of the distance to her aunt’s house on Saturday. They traveled 1/3 of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?
Answer:
23/24
Step-by-step explanation:
To find the total distance of Sunday and Saturday we add 5/8 + 1/3
= 5/8 + 1/3
= 5 × 3/8 × 3 + 1 × 8/3 × 8
= 15/24 + 8/24
= 15 + 8/ 24
= 23/24
The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 380 feet of fencing available, what is the maximum possible area of the pasture?
9514 1404 393
Answer:
18050 square feet
Step-by-step explanation:
Let x represent the length of fence parallel to the creek. Then the remaining 380-x feet of fence is divided between the two ends of the pasture. The area will be the product ...
A = (x)(1/2)(380 -x)
The graph of this is a parabola that opens downward. It has x-intercepts at x=0 and x=380. The vertex (maximum) will be on the line of symmetry, halfway between these zeros, at x = (0 +380)/2 = 190.
Then the area is ...
A = (190 ft)(1/2)(380 -190 ft) = (190 ft²)/2 = 18,050 ft²
The maximum possible area of the pasture is 18,050 square feet.
Here is the question
Answer:
Step-by-step explanation:
The curve is maybe a bit easier to visualize if you write it as x = 4sin(y). The area is
∫[0,π/2] (4-x) dy
= ∫[0,π/2] (4-4sin(y)) dy = 2π-4
∫4-4sin(y) dy = 4y + 4cos(y)
This is a bit easier than using vertical strips, where the area is
∫[0,4] arcsin(x/4) dx
since integrating arcsin(x/4) involves integration by parts.
u = arcsin(x/4)
du = 1/√(16-x^2) dx
dv = dx
v = x
∫arcsin(x/4) dx
= x arcsin(x/4) - ∫x/√(16-x^2) dx
= x arcsin(x/4) + √(16-x^2)
A blueprint of a barn is shown.The scale is 5 inches =8 feet. Find the actual length of the wall that is labeled 20 inches.
Hellllllllllllllllllllllpp
Answer:
D
Step-by-step explanation:
No explanation anymore I just don't want to anymore lol.
Question 13
2 pts
If a person bought a bike for $400 and sold it for $500. What is their rate of return?
0 25%
None of the Above
05%
20%
Question 14
2 pts
If you bought 1000 shares of a Vanguard Mutual Fund for $145 a share two years
Answer:
For question 13: 25%
Step-by-step explanation:
25 out of one hundred is one fourth
25 percent of 400 is one hundred
since 4 one hundreds go into 400
take one fourth and you get one hundred
500-400=100
so 25%
I dont know what the second question is asking
You need to go to the library, grocery store,
and pharmacy. In how many orders can you
visit these places?
A 3
A 6
C 9
D 12