The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
What is debt?
It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
It is given that:
Cathy is purchasing a DVD player and tv at the local electronic store.
The DVD player costs $49.36 and the tv cost $705.20.
If she plans for them in 12 equal payments,
Total cost(combining the cost of the DVD player and TV cost):
= $49.36 + $705.20
= $754.56
Per month payment = $754.56/12
Per month payment = $62.88
Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
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6. You just had surgery on your knee. As part of rehabilitation your physical
therapist wants you to walk 1 minute on day 1 and double your time every day. How
many minutes will you be walking on day 7?
64 minutes
Step-by-step explanation:
1x2=2 it day one
2x2=4 it day two
and more
32x2=64 it day 7
Plot the y intercept of y=3/2 x-2
Answer:
(0,-2)
Step-by-step explanation:
That point is the y intercept. (4/3,0) would be the x.
Use the Angle Addition Postulate to find the measure of the unknown angle.
Answer:
Hey there!
Step-by-step explanation:
This is ur answer....
60 + 120 = 180DEF = 180Hope it helps!
Brainliest pls!
Follow me!
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
simplify 2cos3xsin3x
step by step pls
After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
We are given the expression as:
2 cos (3 x) sin (3 x)
Now, we know the trigonometric identity as:
2 sin θ cos θ = 2 sin (2 θ)
Using this identity in the expression where θ = 3 x, we get that:
2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)
2 cos (3 x) sin (3 x) = sin (6 x)
Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
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This figure is composed of a parallelogram and a trapezoid.
32 cm
26 cm
40 cm
T
16 cm
1
What is the area of the figure in square centimeters?
Answer:
944cm²
Step-by-step explanation:
Area = Area of parallelogram + Area of trapezoid
Area of parallelogram= l× b= 16×26= 416cm²
Area of trapezoid= h/2(a+b)
where a=26cm, b=40cm, h=16cm
Area of trapezoid= 16/2(26+40)=8(66)=528cm²
Area= 416+528=944cm²
The school finance committee has determined that a $28,000 facilities upgrade will be needed in 12 years. an alumnus has donated $20,000. if invested, will it grow to be enough?
Answer:
Step-by-step explanation:
QWEQEQWEQEQEQEQ
What is the polynomial regression?
In order to transform linear regression into polynomial regression, certain polynomial terms are added to it due to the non-linear relationship between the dependent and independent variables.
Let's say we have independent data X and dependent data Y. In the preprocessing stage, we turn the input variables into polynomial terms to some extent before feeding the data to a mode.
As a specific example of multiple linear regression, polynomial regression is a type of linear regression that estimates the connection as an nth degree polynomial. The performance can also be negatively impacted by the existence of one or two outliers since Polynomial Regression is sensitive to outliers.
The connection between the dependent and independent variables is best approximated by polynomial. It may be used for a wide range of functions. In general, polynomial suits a large range of curvature.
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What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answer:
3.) rule of thumb
Step-by-step explanation:
A manufacturer determines that the cost of making a computer component is $4.252525........ Write the repeating decimal cost as a fraction and as a mixed number.
The fraction is $[tex]\frac{421}{99}[/tex] and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]
The cost of manufacturing computer components is $4.25252525
To find the repeating decimal; cost as a fraction
Since we have two digits repeating decimal place, we multiply 100 and shift two digits
⇒$4.252525×100=$425.252525{using operation multiplication}
Now subtract the original number from this
⇒$425.252525-$4.252525=$421.00000 {using operation subtraction}
Now,
100×(fraction)-(fraction)=$421.00000 {using operation subtraction}
99(fraction)=$421.00000{ using operation division}
The Fraction=$[tex]\frac{421}{99}[/tex]
The mixed fraction is $4 [tex]\frac{25}{99}[/tex]
Therefore, The fraction is $[tex]\frac{421}{99}[/tex] , and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]
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Which of the following is a trinomial with a constant term?
O A. yo +8y³ +GAY
OB. X
OC. x³ + y
OD. x+ 2y + 10
Option D x+2y+10 .
A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.
we also know about the Constant
A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Some relatable terms are :
Monomial: Polynomial having a single term.
Binomial: Polynomial having two terms.
Trinomial: Polynomial having three terms.
In given option we'll define
in option A there is no constant .
option B there i sonly given x which is also not constant.
further in option c it is simply binomial in which only two terms are given without constant .
so at last conclusion is in option D there are three terms are given with one constant which is number 10 .
x+2y+10 is trinomial with a constant.
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Question 3 (1 point)
What is the correct solution for the following addition, reported to the correct
number of significant digits? Assume all numbers are measurements.
3001+ 20.3 +0.009
a) 3021
b) 3021.3
c) 3021.309
d) 3021.30
Answer:
I think it's C but I'm not 100% sure
Solve the inequality 5x + 3 ≥ 48
Answer: x[tex]\geq[/tex]9
Step-by-step explanation:
5x+3 [tex]\geq[/tex] 48
5x[tex]\geq[/tex]45
x[tex]\geq[/tex]9
Treat inequalities like normal equations. Only when the right side of the equation is introduced to a negative sign via multiplication or division should you flip the inequality sign
Hope this helps!
find the product of 12 0.6 and 6 1/4
The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
The total area of the shape is 102 cm².
Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.
What is the area of the rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
We know that, the area of a rectangle = Length × Breadth.
So, the area of rectangle1 = 15 × 6 = 90 cm²
The area of rectangle2 = 4 × 3 = 12 cm²
Total area = 90+12 =102 cm²
Therefore, the total area of the shape is 102 cm².
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Which decimals are equivalent to 5x10 + 2x1/100
Answer:
50.2
Step-by-step explanation:
Given that f(x)=x^2+4x-32f(x)=x
2
+4x−32 and g(x)=x-4g(x)=x−4, find (f+g)(x)(f+g)(x) and express the result in standard form
Answer: So after solving and simplifying terms equation is[tex]x^4+10x^3-47x^2-360x+1296[/tex]
Step-by-step explanation: Given we have two equations f(x) =[tex]x^{2} +4x-32[/tex] and g(x) = [tex]x-4[/tex]
we have been asked to find ( f +g)(x) that is f(x)+g(x)
So first we add them [tex]x^{2} +4x-32 + x-4[/tex]
So we have an equation that is: [tex]x^{2} +5x-36[/tex]
Then we need to multiply both
[tex](x^2+5x-36)(x^2+5x-36)[/tex]
So we get[tex]\left(x^2+5x-36\right)^2[/tex]
Distribute parentheses
[tex]x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)[/tex]
On simplifying
[tex]x^4+10x^3-47x^2-360x+1296[/tex]
So standard form of result is [tex]x^4+10x^3-47x^2-360x+1296[/tex] .
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Solve the equation 29 = v + 23 for v.
Answer:
6
Step-by-step explanation:
Solving steps
29v+23
Move the terms
- v =23 -29
Calculate
-V=-6
Change the signs
Solution
V = 6
Answer: 6
Step-by-step explanation: the guy above me has the best expanation
. The width of a rectangular plot of land is one- quarter of its length. If the perimeter is 360 m, find: a. The length of the land.
Answer:144
Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total. 360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144
Simplify (c4)−5
please please helpppp
Answer: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "c5" was replaced by "c^5". 1 more similar replacement(s).
STEP
1
:
c4
Simplify ——
c5
Dividing exponential expressions :
1.1 c4 divided by c5 = c(4 - 5) = c(-1) = 1/c1 = 1/c
Final result :
1
—
c
Step-by-step explanation: hope this helps
1.
Write the numbers of dots in the next three steps of
this pattern:
3
6
10
15
2. What i
Answ
Answer:
your answer is 21
Step-by-step explanation:
The gap between 3 and 6 is 3 the gap between 6 and 10 is 4 the gap between 10 and 15 is 5 so your answer will be 6 more than 15 which is 21
your welcome
Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as Prior Probabilities.
Prior Probabilities can be defined as the probability of the event before the event takes place.
For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333 .
Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.
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a 65g book is 15cm x 5cm x 3c. Find the density
PLEASE HELP
Answer:
Density=13g/45cm cubed
Step-by-step explanation:
D=M/V
D=65g/225cmcubed
D=13g/45cm cubed
Find x and y pleaseee
Answer:
x = 23 y = 42
Step-by-step explanation:
y + 54 + 4x - 8 = 180
y + 4x = 180 - 46
y + 4x = 134
180 - (5x - 19) = 4x - 8
180 - 5x + 19 = 4x - 8
180 + 19 + 8 = 4x + 5x
207 = 9x
207/9 = x
x = 23
y + 4(23) = 134
y = 134 - 92
y = 42
In the student council election, 217 students vote. Uma receives 4 votes for every 3 that Paloma Receives. How many more votes does Uma receive than Paloma?
In probability 31, more votes does Uma receive than Paloma .
In statistics, what does a probability mean?
The likelihood that an event will occur in a Random Experiment is measured by probability. A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.let uma u and paloma p votes
Uma = 4/7 = u/217
4 × 217 / 7 = u
u = 124
paloma = 3/7 = p/217
3 × 217 /7 = p
p = 93
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7. On a recent math test, the boys averaged
81 and the girls averaged 90. If there are twice
as many boys in the class as girls, what was
the overall average for the class?
What is the simplified form of this expression 4(2x-5y)-3x
Answer:
5x - 20y
Step-by-step explanation:
4(2x - 5y) - 3x ← multiply each term in the parenthesis by 4
= 8x - 20y - 3x ← collect like terms
= 8x - 3x - 20y
= 5x - 20y
Answer:
5x - 20y
Step-by-step explanation:
Hello!
Distribute the terms outside of the parenthesis to the terms inside.
Simplify4(2x - 5y) - 3x4(2x) +4(-5y) - 3x8x - 20y - 3x5x - 20yThe simplified expression is 5x - 20y.
Evaluate the function.
ƒ(x) = −3x² + 10x + 13
Find f(-1)
Answer:
find the inverse of the following function. The Domain and Range of inverse
a) f(×)=× b) f(×)=׳-4
If angle 1 and angle 2 form a linear pair and angle 1 is x and angle 2 is 5x - 18, find the measure of angle 1
Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.
What are Linear Pair Angles?If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.
We are given that angle 1 and angle 2 are a linear pair. This means that:
Measure of angle 1 + measure of angle 2 = 180
Measure of angle 1 = x
Measure of angle 2 = 5x - 18
Substitute
x + 5x - 18 = 180
6x - 18 = 180
6x = 180 + 18
6x = 198
6x/6 = 198/6
x = 33
Measure of angle 1 = x = 33°.
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Petrina had a piece of red ribbon that measured 2.4 m long. she also had a piece of blue ribbon which was 7 8 m long. what was the total length of both ribbons? round your answer to 2 decimal places.
The total length of red and blue ribbons is 10.2 m.
Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.
How to add two decimals?Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.
Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8
=10.2 m
Therefore, the total length of red and blue ribbons is 10.2 m.
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