Answer:
3/4×100%=75%is the percent equivalent to 3/4
A percent is a value out of 100
Change the fraction
= 3/4 * 25
= 75/100
This fraction represents a percent.
= 75/100
= 75%
Prove that the quadratic Sequence 44:52:64; 80: will always have even terms
The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?
Answer:iojoenckcnurmum
Step-by-step explanation:
Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
\(\frac{1}{2}x -2y = -10\)
Answer:
slove of x answer:
x = 4y − 20
slove of x answer:
y = 5 + x/4
x-intercept(s): (-20, 0)
y-intercept(s): (0, 5)
Esther, Vida, and Clair were asked to consider two different cash flows: GH¢1000 that they could receive today and GH¢3000 that would be received 3 years from today. Esther wanted the GH¢1000 today, Vida chose to collect GH¢3000 in 3 years, and Clair was indifferent between these two options. Which of the three women made the right choice?
Answer:
They all make the right choice
Step-by-step explanation:
Esther made the right choice by wanting to collect the GH¢1000 today because her rent will be due the following day and this keeps her from being evicted from her apartment.
Vida also made the right choice, because Vida choose to collect the GH¢3000 means that at the current rate of return, the future value of the 1,000 will be far less than the 3,000 she will get.
And Clair made the right choice, because she was indifferent between the two options available reason been that she is already wealthy in which neither the amount will improve her lifestyle.
Thereofere People can choose to make financial choices depending on their circumstances or situation in which they are in.
In a situation where people have different circumstances, hence there is no "right choice" that will meets all of their circumstances.
Example
Let Assumu that the discount market rate is currently 20%
Therefore the Future Value of GH¢3000 after 3 years will be :
Year 1
Interest Factor (IF) = (I+r)-t
IF = (1+0.2)^-1
IF = 1.2^-1
IF = 0.8333333333
Year 2
IF = (1+0.2)^-2
IF = 1.2^-2
IF = 0.6944444444
Year 3
IF = (1+0.2)^-2
IF = 1.2^-3
IF = 0.578703703
The Amount will be :
3,000 * 0.578703703= 1,736.11111
Hence If Esther try to invests the money at the market rate of 20%, she will receive the following
Year 0 = 1,000
Year 1 = 1,000*0.8333333333=833.33333333
Year 2=1,000 *0.6944444444 = 694.44444444
Year 3 = 1,000 *0.578703703= 578.703703
Total 2106.4814
This means that after 3 years, Esther would receive an amount that would be equal to 2106.4814 at 20% interest rate while Vida’s amount would as well be equal to 1,736.11111 which is far less than the investment gain of the amount Esther’s has . Which is why it be advisable to take the money and invest the same instead of waiting to receive 3,000 after 3 years because from the above example I made it is can easily be seen that the value will reduce in which it is Vida who will get less than the GH 3,000 currency.
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
For the following exercises, determine the least possible degree of the polynomial function shown.
Solution
To determine the least possible degree of the polynomial function
The function has atmost n - intercepts in the horizontal
The graph turns 4 times in the above curve, hence n = 4
\(\begin{gathered} n+1 \\ n=\text{ number of turns} \\ 4+1=5 \end{gathered}\)Therefore the least possible degree of the polynomial = 5
Hence it is a 5 possible polynomial function
The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?
The value of the probability P(3≤x<7) is 1
How to evaluate the probability expression?The expression is given as: P(3≤x<7)
This is calculated using:
P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)
Using the figure of the probability density function (see attachment), we have:
P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20
Evaluate
P(3 ≤ x < 7) = 1
Hence, the value of the expression is 1
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10. The total cost of shipping toys from a specific company is $5 plus $2.50 times the number of toys purchased
Answer:y=2.50x+5
Step-by-step explanation:
y=2.50x+5
that's all i can do with the information provided
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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WILL GIVE BRAINLIEST!! <33
Temperature is warmest in the __?__
A.high Latitudes
B.mid-Latitudes
C.Low latitudes
Answer:
I think it’s B, Mid-Latitude
Step-by-step explanation:
I really need help what's the answer??
Josue has $0.33 worth of pennies and nickels. He has a total of 13 pennies and
nickels altogether. Write a system of equations that could be used to determine the
number of pennies and the number of nickels that Josue has. Define the variables
that you use to write the system.
Let x represent Josue's total amount of pennies, and y represent his total amount of nickels. Next, we may formulate the equations in the following system:
1. x pennies are worth $0.01x.
2. One nickel is worth $0.05y.
3. Josue has 13 pennies and nickels in total, which is denoted by the equation x + y = 13.
4. The pennies and nickels are worth a total of $0.33, which may be expressed as 0.01x + 0.05y = 0.33.
Therefore, the system of equations is: x + y = 13
0.01x + 0.05y = 0.33
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Solve the following inequality: ALGEBRA 1
Answer:
\(m > 5\)
Step-by-step explanation:
\( \frac{m + 4}{3} > 3 \\ \frac{m + 4}{3} \times 3 > 3 \times 3 \\ m + 4 > 9 \\ m + 4 - 4 > 9 - 4 \\ m > 5\)
Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!
According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
What is equation?Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.
given,
To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.
Expanding Equation A, we get:
A = (C + D) x (C + D) = C² + 2CD + D²
Simplifying Equation B, we get:
B = 2 x (C + D) = 2C + 2D
To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.
Plugging these values into Equation A, we get:
A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25
Plugging these values into Equation B, we get:
B = 2(3 + 2) = 2(5) = 10
Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.
Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
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What is the equation for this line?
y=2/3x-4 is the equation of the line where 2/3 is the slope.
We have to find the equation of line which is passing through points (0, -4) and (3, -2).
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁.
Slope = -2+4/3-0
=2/3
Now let us find the y intercept.
-4=2/3(0)+b
b=-4
The equation of line is y=2/3x-4.
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8. How can you use the data in the histograms to
compare the ages of the people who attended
To compare the ages of the people who attended using the data in the histograms, you can look at several features of the histograms, such as:
Center: Look at where the center of each histogram is located. If one histogram is shifted to the right or left compared to the other, it may indicate that one group of people is older or younger than the other.Spread: Look at the range of ages in each histogram. If one histogram has a wider range of ages, it may indicate that the group of people represented by that histogram is more diverse in age.What is the histograms about?Other factors are:
Shape: Look at the overall shape of each histogram. If one histogram is more skewed to one side or has a more pronounced peak, it may indicate that the age distribution of that group of people is different than the other.
Overlap: Look at the degree of overlap between the two histograms. If the histograms overlap substantially, it may indicate that the age distribution of the two groups of people is similar. If the histograms do not overlap or overlap very little, it may indicate that the age distribution of the two groups is quite different.
Therefore, By examining these features of the histograms, you can gain insights into the similarities and differences between the ages of the people who attended, and use this information to make comparisons between the two groups.
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Answer:
Step-by-step explanation:
how can you use the data in the histograms to compare the ages of the people who attended
Plot the image of point Q under a translation by 4 units to the right and 1 unit up.
The coordinates of point Q under a translation by 4 units to the right and 1 unit up are of:
Q'(5,5).
The image Q' of point Q is plotted on the graph shown at the end of the answer.
What are the translations?There are four translations that are standard, and their rules are defined as follows:
Translation left a units: (x,y) -> (x - a, y).Translation right a units: (x,y) -> (x + a, y).Translation up a units: (x, y) -> (x, y + a).Translation down a units: (x,y) -> (x, y - a).The coordinates of point Q in this problem are given as follows:
Q(1,5).
The translation rule for 4 units to the right and 1 unit up is given as follows:
(x,y) -> (x + 4, y + 1).
Hence the coordinates for the image of point Q are given as follows:
(1,4) -> (1 + 4, 4 + 1) = (5,5).
Missing InformationAs shown on the image given at the end of the answer, the coordinates of point Q are given as follows:
(1,4).
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Line h passes through (2,6) and is parallel to a line that passes through (−3,4) and (1,1).
The equation of line h that passes through (2,6) and is parallel to a line passing through (-3, 4) and (1, 1) is 4y + 3x = 30
What is slope?Slope is the ratio of the change in the y-coordinates to the change in the x-coordintes of any two given points.
It is a measure of the steepness of a line.
Slope may be positive or negative
slope of the line joining the the points (-3,4) and (1,1)
slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
\(x_{1}\) = -3, \(x_{2}\) = 1, \(y_{1}\) = 4, \(y_{2}\) = 1
slope = 1-4 / 1 - -3
slope = -3/4
since the two lines are parallel their slopes are equal.
equation of first line
y = mx + c
where y = 6, x = 2, m = -3/4
6 = -3/4(2) + c
6 = -3/2 + c
c = 6 + 3/2
c = 15/2
Equation, y = -3/4x + 15/2
multiply through by 4
2y = -3x +30
2y + 3x = 30
In conclusion the equation of the line passing through the given point is 2y + 3x = 30
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Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
5h-6-8+7h what’s the answer ?
use the associative property to write an equivalent expression (7.9) 2=
The equivalent expression is (2)*7.9 using associative property.
What is associative property?
Rearranging the parenthesis in an expression won't change the outcome since some binary operations have the associative feature. Associativity may be a legitimate rule of replacement for expressions in logical proofs in propositional logic.
Main body:
Associative property for multiplication implies that regardless of how numbers are grouped, the final product of the numbers will remain the same. This can be expressed as:
p × (q × r) = (p × q) × r
using this,
7.9*2 = 2*7.9
Hence the answer to this expression is 2*7.9
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What are the inflection points for the function f ( x ) = sin ( π x − 2 ) in the interval 0 < x < 2
The inflection points for the given functions are π/2 and 5π/6.
What is the inflection points?The point of inflection or inflection point is a point in which the concavity of the function changes. It means that the function changes from concave down to concave up or vice versa. In other words, the point in which the rate of change of slope from increasing to decreasing manner or vice versa is known as an inflection point. Those points are certainly not local maxima or minima.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2
Phase Shift: 2/π (2/π to the right)
Vertical Shift: None
Plot the points (2/π, 0), (1/2+2/π, 1), (1+2/π, 0) on graph.
On graph inflection points are π/2 and 5π/6.
Therefore, the inflection points for the given functions are π/2 and 5π/6.
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A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
Leo has 2 5/8 ounces of sunblock.
He uses one third of an ounce at
the beach. How much does he
have left?
Answer:
2 7/24
Step-by-step explanation:
Answer:
Step-by-step explanation: 6
A quadrilateral has two angles that measure 235° and 40°. The other two angles are in a ratio of 5:12. What are the measures of those two angles?
Answer: Let's denote the two unknown angles as x and y.
We know that the sum of the angles in any quadrilateral is 360°, so we can set up an equation using this fact:
235° + 40° + x + y = 360°
Simplifying this equation, we get:
x + y = 85° (equation 1)
We also know that the other two angles are in a ratio of 5:12. This means that:
x/y = 5/12
Multiplying both sides by y, we get:
x = (5/12)y (equation 2)
Now we can substitute equation 2 into equation 1 and solve for y:
(5/12)y + y = 85°
(17/12)y = 85°
y = (12/17) * 85°
y = 60°
Substituting y = 60° into equation 2, we can solve for x:
x = (5/12) * 60°
x = 25°
Therefore, the two angles that are in a ratio of 5:12 measure 25° and 60°, respectively.
Step-by-step explanation:
Assuming equal rates, 52 miles in 8 hours implies how many miles in 9 hours?
i don't know if this is right but its worth a try...
52/8=6.5
6.5x9=58.5
So its 58.5 miles in 9 hours. hope this helps !
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
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 )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x