Answer:
He have to invest $527.777778 .
Step-by-step explanation:
X : 4.75% = $10,000 : 90
9 and 1/9 subtracted by 1 and 4/5
The results of the expression 9 and 1/9 subtracted by 1 and 4/5 is 7 14/45
Subtraction of Fraction9 and 1/9 subtracted by 1 and 4/5
= 9 1/9 - 1 4/5
= 82/9 - 9/5
= (410-81) / 45
= 329/45
= 7 14/45
Therefore, 9 and 1/9 subtracted by 1 and 4/5 is 7 14/45
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If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)?
a.The graph of f(x) has been reflected across the x-axis and shifted up 2 places
b.The graph of f(x) has been reflected across the y-axis and shifted down 2 places
c.The graph of f(x) has been reflected across the x-axis and shifted left 2 places
d.The graph of f(x) has been reflected across the y-axis and shifted right 2 places
e.The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2
The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2 , Option E is the correct answer.
What is a Function ?A function is a law that relates a dependent and an independent variable.
It is given that f(x) = x³
g(x) = -2x³
When a function is reflected along an axis , the coordinate of that axis remains the same but the coordinate of the other axis becomes negative
So, if x coordinate is transformed to -ve of the parent function , The function is reflected along y axis.
As there is 2 in front of the parent function ,
f'(x) = a f(x) , represents vertical stretch when a >1
Therefore The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2 , Option E is the correct answer.
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5
Select the correct answer.
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the
of tests on the y-axis and the time in weeks on the x-axis?
number
A. 3/4
B. 4/3
C. 3
D. 4
Answer:
A
Step-by-step explanation:
27÷36=.75
.75= 3/4
decimal= fraction
An object in a simulation accelerates
Observe the graph below. This graph represents the scenario.
The question is ill formated, the complete question is
In a simulation, a moving object accelerates from rest to 4 meters per second in 2 seconds. For the following three seconds, it increases linearly until it reaches a speed of 10 meters per second. Following three seconds at that speed (acceleration = 0), the item progressively decelerates until it comes to rest two seconds later. Draw the graph of this scenario for 10 seconds?
I'll describe how the graph may show.
It will move diagonally upward from time 0 to 2 seconds until it reaches the y axis at a speed of 4 m/s.
Then, from 2 to 5, the position will move up diagonally until it reaches the y axis at a speed of 10 m/s.
The next 5 to 8 seconds will be horizontal.
After that, it will descend diagonally.
Observe the graph below. This graph represents the scenario.
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Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $0.15 per kilogram, and she wants to spend $12 total.
Answer:
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys more than the intended amount of corn.
Explanation: Point CCC is on line aaa, so it represents a scenario where she spends \$12$12dollar sign, 12. Point CCC is above line bbb, so it represents a scenario where she buys more than 50\,\text{kg}50kg50, start text, k, g, end text of corn.
The correct answer on how Marcelina does this expenses is that Marcelina spends the intended amount of money and buys more than the intended amount of corn.
How to check the expenses that Marcelina madeThe numbers at point C are 20,50.
What she is supposed to buy are
30 white corn and 20 yello maize
20 + 50 = 70kg
This has shown that Marcelina has bought more than the amount of corn that she is supposed to buy.
Meanwhile what she was supposed to get was 50 kg.
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A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than or equal to 7? Express your answer as a fraction or a
decimal number rounded to four decimal places.
Answer:
7/12 or 0.5833
Step-by-step explanation:
So you're going to have 36 combinations, because for each number 1-6 which may be rolled for the first roll, you're going to also have 6 other possible numbers for the second roll. This gives you 6 * 6 or 36. So you could define the entire sample space, but you could also just list the sample space with all the sums less than 7 that way you don't have to list all of the sample space, since you already know how many combinations there are going to be
Let's start with the case that you roll a 1, for the first roll:
1+1 = 2
1+2 = 3
1+3=4
1+4=5
1+5=6
These are the only combinations that will be less than 7 so stop here
Now do the case where you roll a 2, for the first roll
2+1 = 3
2+2= 4
2+3 = 5
2+4 = 6
The next roll will result in a roll greater than 6. This time there were only 4 combinations which is one less than the previous. This makes sense, since you're still increasing in intervals of 1, except the starting number is increasing by 1, meaning as the first roll increases, the amount of combinations with that starting roll that are below 7, will decrease by 1. So this means that:
1: 5 combinations
2: 4 combinations
3: 3 combinations
4: 2 combinations
5: 1 combination
6: 0 combination
This means there are going to be a total of 15 combinations which are less than 7, that means there are 36-15 combinations which are greater than or equal to 7. This simplifies to 21/36 which simplifies to 7/12. This can also be expressed as: 0.5833
I struggle with math and am having difficulty solving this problem. Please only solve if you definitively know the answer. Thank you!
The equivalent expression of [tex]6^\frac 25[/tex] is [tex](\sqrt[5]{6})^2[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]6^\frac 25[/tex]
The law of indices states that:
[tex]a^\frac mn = (\sqrt[n]{a})^m[/tex]
Using the above as a guide, we have:
[tex]6^\frac 25 = (\sqrt[5]{6})^2[/tex]
Hence, the equivalent expression of [tex]6^\frac 25[/tex] is [tex](\sqrt[5]{6})^2[/tex]
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Angles X, Y, and Z are supplementary. The sum of the measure of Angles X and Y is 3 more than double the measure of Angle Z. What is the measure of Angle Z
Answer:
59 degrees
Step-by-step explanation:
Supplemental means that the angles add to 180.
x + y + z = 180
x + y = 2z + 3
Replace x + y in the top equation with 2z + 3
2z + 3 = z = 180
3x + 3 = 180 Combine the z's.
3x = 177 subtract 3 from both sides
x = 59
will wig curls come out of synethic wigs??? or do they stay there forever?
Answer asap for brainlist
Answer:
No ! The only thing that will take a wave or curl out of a synthetic wig is heat.
Step-by-step explanation:
A group of people were asked if they had run a red light in the last year. 198 responded "yes", and 394 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Given the function f(x) = −3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.
The value of f(2) is the same as the value of f(3).
The value of f(2) cannot be compared to the value of f(3).
The value of f(2) is smaller than the value of f(3).
The value of f(2) is larger than the value of f(3).
PLEASE Help NOW
The true statement is the value of f(2) is larger than the value of f(3).
How to evaluate the function?The function is given as:
f(x) = −3x^2 + 4x + 6
Calculate f(2) and f(3), as follows:
f(2) = −3(2)^2 + 4(2) + 6 = 2
f(3) = −3(3)^2 + 4(3) + 6 = -9
By comparison;
f(2) is greater than f(3) because 2 > 9
Hence, the true statement is the value of f(2) is larger than the value of f(3).
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Which inequality is equivalent to 2/3 X -5 < 11
Answer: A
Step-by-step explanation:
[tex]\frac{2}{3}x-5 < 11\\\\\frac{2}{3}x < 16\\ \\ x < 24[/tex]
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04 please select the best answer from the choices provided a b c d
Hence, the correct answer is (c)$1,055.10
What is simple interest?Simple interest is interest calculated on the principal portion of a loan or the original contribution to a savings account. Simple interest does not compound, meaning that an account holder will only gain interest on the principal, and a borrower will never have to pay interest on interest already accrued.
How to solve?We have,
Amount spent each month = $83.42
Interest rate, r = 1.8% = 0.018
Time, n = 3 years
Now,
The total amount collected at the end of the year = $83.42 × 12 = $1001.04
The value of the amount deposited in the bank after 3 years will be
Future value = Present value × ( 1 + r )ⁿ
on substituting the respective values,
we have
Future value = $1001.04 × ( 1 + 0.018 )³
or
Future value = $1,056.07
Hence,
The money he could have at the end of 3 more years will be $1,055.17
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What’s LCM of 4 and 18
Answer:
2²X3³=36
Step-by-step explanation:
hope this helps you (✿❛◡❛)
When you keep brushing your wig will it be fine or will you have to buy a new one?
Answer asap
Answer:
it should be fine, but it can also depend on the quality of the wig
Step-by-step explanation:
100 POINTS! Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
Answer:
Center: (-4, 1)
Radius: √2
Explanation:
Circle general equation is represented by (x - h)² + (y - k)² = r²
where (h, k) is the center and "r" resembles radius
To write in general equation form, start completing square:
x² + y² + 8x -2y + 15 = 0
x² + 8x + y² - 2y + 15 = 0
(x + 4)² - 4² + (y - 1)² - (-1)² + 15 = 0
(x + 4)² + (y - 1)² - 16 - 1 + 15 = 0
(x + 4)² + (y - 1)² - 2 = 0
General equation form:
(x - (-4))² + (y - 1)² = (√2)²
From here, comparing with the formula equation.
It is determined: center: (-4, 1) and radius: √2
Answer:
center = (-4, 1)
radius = √2
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven equation:
[tex]x^2+y^2+8x-2y+15=0[/tex]
Subtract 15 from both sides to move the constant to the right side of the equation:
[tex]\implies x^2+y^2+8x-2y=-15[/tex]
Rearrange the left side to collect like variables:
[tex]\implies x^2+8x+y^2-2y=-15[/tex]
Add the square of half the coefficients of the variables x and y to both sides:
[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2+y^2-2y+\left(\dfrac{-2}{2}\right)^2=-15+\left(\dfrac{8}{2}\right)^2+\left(\dfrac{-2}{2}\right)^2[/tex]
[tex]\implies x^2+8x+16+y^2-2y+1=2[/tex]
Factor the two perfect square trinomials on the left side:
[tex]\implies (x+4)^2+(y-1)^2=2[/tex]
Compare the found equation with the general form to find the center and radius of the circle:
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Find the simple interest owed for the use of the money. Assume 360 days in a year. P=16,500, r=6%, t=180 days
The formula for simple interest is the following:
[tex]S=Prt[/tex]
In this formula, [tex]S[/tex] is the amount of interest, [tex]P[/tex] is the principal (or initial) amount, [tex]r[/tex] is the interest rate, and [tex]t[/tex] is the length f time, typically in years.
First, let's make a couple of changes to how we wrote down the variables.
Change the interest rate, [tex]6\%[/tex], to the decimal value [tex]0.06[/tex].Convert the length of time to years. 180 days divided by 360 days per year equals [tex]0.5[/tex] years.Substitute in the values and solve with a calculator.
[tex]\begin{aligned}S&=16,500\cdot0.06\cdot0.5\\&=\boxed{495}\end{aligned}[/tex]
if julia can solve 90% of the problems then what is the complement
The complement is 10%
How to determine the complement?The proportion is given as:
p = 90%
The complement is calculated as:
Complement = 100% - p
This gives
Complement = 100% - 90%
Evaluate the difference
Complement = 10%
Hence, the complement is 10%
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Please can u help me?
Answer:
6/2^2=36/4
so it will be 36/4+14/1
taking LCM As 4 it will come out
36+56/4 =92/4=23
Step-by-step explanation:
hope this helps ʕ´•ᴥ•`ʔ
Answer:
23
Step-by-step explanation:
(6/2) ^2 +7*2
We need to solve this using the order of operations
First, solve the item in parentheses
6/2 =3
(3) ^2 +7*2
Then calculate the exponential term
3^2 = 9
9 + 7*2
Then multiply
7*2 = 14
9+14
Finally add
23
a car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how long would it take?
Step-by-step explanation:
it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?
and do we need the time for the whole round trip, or only for the return trip ?
in any case, always remember,
speed = distance/time
therefore, to get time, we need to divide distance by speed :
distance / distance/time = time×distance/distance = time
so, let's calculate all these different scenarios :
1. 500 miles is only one direction, and we measure only the time going back with 60 mph :
500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.
as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.
2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :
500 / 50 = 10 hours
500 / 60 = 8 hours 20 minutes
the whole round trip takes 18 hours 20 minutes.
3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :
250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.
as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.
4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :
250 / 50 = 5 hours
250 / 60 = 4 hours 10 minutes
the whole round trip takes 9 hours 10 minutes.
did you notice ?
when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.
PLEASE HELP EMERGENCY
Estimate the length of wire to the nearest inch. Suppose that it is coiled 11 times. Which numbers did you use to estimate the length of wire in the question above? Explain your process of estimation.
242 inches
Step-by-step explanation:
with an 11 inch diameter, a single spiral of the wires circumference is about 22 inches. with this we can multiply 22 by 11 and assume its 242 inches long
Jillian had 2/ 9 m of a cloth. She used 1 /9 m of it for sewing a blanket. How much of the cloth does she have remaining?
Answer:
1/9m. just take 2/9- 1/9 then you'll get the material remaining good day.
Using the concept of subtraction of fractions, Jillian have 1/9m of cloth left.
What are fractions?Fractions are a way to represent numbers that are not whole numbers. They represent parts of a whole or divisions of a quantity. A fraction consists of two parts: a numerator and a denominator.
The numerator is the number on the top of the fraction and represents the number of parts being considered or counted. The denominator is the number on the bottom of the fraction and represents the total number of equal parts into which the whole is divided.
In this problem, we can easily determine the amount of cloth she have left.
Since she used 1/9 of it, we can proceed as;
2/9 - 1/9 = 1/9m
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1. La Sra. Hamilton quiere comprar pizarras y marcadores para su salón de
clases. Los tableros (b) cuestan $0.75 cada uno y los marcadores (m) cuestan
$0.50 cada uno. Escribe una expresión que muestre la cantidad total que
gastará en pizarras y marcadores.
Usando un sistema de ecuaciones, se encuentra que la expresión que muestra la cantidad total que gastará en pizarras y marcadores es:
G = 0.75b + 0.5m.
¿Qué es un sistema de ecuaciones?
Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
Variable b: Cantidad de tableros.Variable m: Cantidad de marcadores.Considerando el precio de cada producto(cada tablero = $0.75, cada marcador = $0.5), la expresión que muestra la cantidad total que gastará en pizarras y marcadores es:
G = 0.75b + 0.5m.
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What is the sum of 6dm, 40mm, 2m and 10cm in meters?
Answer:
2.74 mStep-by-step explanation:
convert to meters
6 dm = 0.6 m
40 mm = 0.04 m
2 m = 2 m
10 cm = 0.1 m
sum
0.6 + 0.04 + 2 + 0.1 =
2.74 m
Answer:
2.74m
Step-by-step explanation:
Convert all values to meters.
6dm = 0.6m
40mm = 0.04m
2m = 2m
10cm = 0.1m
sum = 0.6+0.04+2+0.1
= 2.74
I can’t seem to find the soultion
Answer:
[tex]-2-i[/tex] I'm assuming there's a d option maybe? because this should be the answer
Step-by-step explanation:
Well you have the equation:
r-s
So all you need to do is plug in 1+2i as r, and 3+3i as s, and then you add like terms (kind of like how you can do 2 * sqrt(2) - 3 * sqrt(2) and you simply subtract the "coefficients")
[tex](1+2i)-(3+3i)[/tex]
Distribute the negative sign:
[tex]1+2i-3-3i[/tex]
Combine like terms
[tex](1-3)+(2i-3i)[/tex]
Simplify:
[tex]-2-i[/tex]
Find the equation of the line which is parallel to y = 4x -2 and passes through thepoint (-2,3).
Answer:
y = 4x + 11
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 )
y = 4x - 2 ← is in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = 4x + 11 ← equation of line
please help me with this!!!!!!!!!!
Answer: 5 rides (for a cost of $35)
Step-by-step explanation:
The solution to your problem is the point of intersection. This is where the lines intersect, or cross over, each other. We can extend the lines to find the answer. See attached.
They intersect at point (5, 35) which represents 5 rides and 35 dollars.
help what is the answer for this
Which net represents the pyramid below?
The net which represents the pyramid is: B. A square with a triangle connected to each side with a dotted line.
What is a square pyramid?A square pyramid can be defined as a type of pyramid that has a square base, four (4) triangular sides, five (5) vertices, and eight (8) edges.
In this context, we can logically deduce that the net which represents the pyramid is a square with a triangle that is connected to each side with a dotted line as illustrated in the image attached below.
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Complete Question:
Which net represents the pyramid below? There are four squares attached left to right and a square above and below the last square. There are three rectangles connected vertically with dotted lines. There are triangles connected to the middle rectangle.
A. A hexagon with a triangle connected with a dotted line to each of the sides.
B. A square with a triangle connected to each side with a dotted line.
list the angles of ABC in order from smallest to largest
The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The size of a triangle side is proportional to its opposite angle. The largest side is opposite to the largest angle while the smallest side is opposite to the smallest angle.
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i need help plsssss asap
Answer:
D) (0,9.5) and (10,1.5)
Step-by-step explanation:
a line of best fit is a line that is drawn through the data points on the scatter plot. Option D is the only answer that draws a linear line through the data points.
Option A makes a short line above the points. if the line is not through the points, it doesn't work
Option B is drawing a positive line (as in it's increasing) and therefore cannot work
Option C draws a line below the points and does not represent the line of best fit for this scatter plot