Answer: $27.5
Step-by-step explanation:
10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.
two less than 8 times a number is the same as the number plus 12
Answer:
The number is 2.
Step-by-step explanation:
You can write this as an algebriac equation, where the "number" is x:
8x - 2 = x + 12
Then, solve for x:
8x = x + 14
7x = 14
x = 2
The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer.
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years.
Part C: Baxter wants to purchase a car that would have the greatest value in 10 years. Will there be any significant difference in the value of either car after 10 years? Explain your answer, and show the value of each car after 10 years.
Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.
Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.
And Yes, there is a significant difference.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
The exponential function describes car 1.
Then the function will be
[tex]\rm P = 18500\times (0.95995)^n[/tex]
The linear function describes car 2.
[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]
Then the value of the car 1 after 10 years will be
[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]
Then the value of the car 2 after 10 years will be
[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]
Yes, there is a significant difference.
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A rectangle has a length of 2x+1 and a width of 3x-2. What is the perimeter of the rectangle?
Answer:
The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.
Answer:
P=2(L+W)
Step-by-step explanation:
p=2(L+W)
2(2x+1)+2(3x-2)
4x+2+6x-4
10x-2
City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?
The number of students that are expected to enroll in the fifth year of the plan is 644.
How many students are expected to enroll in the fifth year?The formula that can be used to determine the future value of the population is:
FV = P (1 + r)^n
FV = Future value P = Present value R = rate of increaseN = number of years400 x (1.1)^5 = 644
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help asap please!! <3
Answer:
3/2 or 1.5
Step-by-step explanation:
Finding the gradient
gradient (m) = y₂ - y₁ / x₂ - x₁m = 5 + 1 / 4 - 0m = 6/4m = 3/2 or 1.5Answer:
gradient = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )
m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
Identify the center and the radius of each circle.
C. X^2+2x+1+y^2+4y+4=9
Answer:
[tex]Center =(-1,\: -2),\: radius = 3\: units[/tex]
Step-by-step explanation:
[tex] x^2 +2x + +1 + y^2++4y+4=9[/tex] (Given equation of circle)[tex]\implies (x^2 +2x + +1) + (y^2++4y+4)=(3)^2[/tex][tex]\implies (x+1)^2 + (y+2)^2=(3)^2[/tex]Comparing the above equation with standard form of circle i.e. [tex](x-h)^2+(y-k)^2=r^2[/tex], we find:[tex]h=-1, \: k = -2,\: r = 3[/tex][tex]Center =(h, \: k )=(-1,\: -2),\: radius = 3[/tex]The values in the table represent a linear function what is the common difference of the associated arithmetic sequence x 1 2 3 4 5. y 8 23 38 53 68
a. 15
b. 7
c. 1
d. 21
The common difference of the arithmetic sequence is 15.
The correct option is (a)
what is Arithmetic Sequence?
An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.
The arithmetic sequence is defined as
x: 1 2 3 4 5
y: 8 23 38 53 68
The common difference of the arithmetic sequence is
[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]
Let us take any two points: (1,8) and (2,23)
Then, d = [tex]\frac{23-8}{2-1}[/tex]
d= 15
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what is 1x3 and 1x8 help please jucie
Answer:
1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11
Answer:
3 and 8
Step-by-step explanation:
How do exponents fit into the order of operations
Answer:
Exponents are done before addition, subtraction, multiplicaton, and division
Step-by-step explanation:
PEMDAS=
Parenthases
Exponents
Multiply
Divide
Add
Subtract
Find the volume of cone pictured below. Use 3.14 for π. Round your answer to the nearest hundredth.
The volume of the cone is
cubic yards.
Answer:
133.97 cu yds
Step-by-step explanation:
volume is 1/3 x pi x r^2 x h
you sign up for a new email account. You must choose a secure password that contains 4 letters followed by one digit. How many combinations are there
Answer:
113
Step-by-step explanation:
26x4=104
1x9=9
104+9=113
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
By taking the product between density and volume we will see that the mass is 284.2 kg
How to find the mass of helium?Remember that density is the quotient between mass and volume, then:
mass = density*volume.
Here we know that:
volume = 1,592 m³density = 0.1785 kg/m³Taking the product of these two we get:
mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg
So the correct option is the second one.
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Answer:
284.2 kg my good sir
Step-by-step explanation:
Big brain
PLEASE HELP ASAP!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)
HELPPPP WITH MATHH HOMEWORKK PLSSS
Answer:
well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances
Step-by-step explanation:
formally, there is only one alternative : if not negative, it would be a positive number.
and that would mean
2× -4/5 = x (= a positive number)
2× -4 = 5x (= still a positive number)
-4 = 5x/2 (= still a positive number)
and -4 is definitely not a positive number.
so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.
Which graph shows the function W, X, Y, Z
Answer:
the correct graph is attached
Step-by-step explanation:
x ≥ 1 means there is a closed dot at 1
and -x + 8 means there should be an y intercept at 8 with negative slope
so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph
Given the following absolute value equation, what would the coordinates of the vertex be?
y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)
Answer:
C. (5,2)
Step-by-step explanation:
For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like
f(x -h) +k
and the vertex moves to (h, k).
__
Here, the parent function |x| has its vertex at (0, 0). Writing it as ...
-3|x -5| +2
moves its vertex to (h, k) = (5, 2).
_____
Additional comment
The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
Another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
What is a circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
Given the expression for the radius of the circle given as
[tex]r=\dfrac{60}{\pi}[/tex]
We can also express the radius as a decimal instead of a fraction.
Given that π = 3.14, Substitute into the expression of the radius to have:
[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]
Hence another way of expressing the radius is to express it as a decimal given as r = 19.108 cm
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What do zeros tell us in this situation
Answer:
zero called 1 in this situation
Step-by-step explanation:
its your ans
I need help! Find the measure of the indicated angle to the nearest degree.
Answer:
hope this will help you (•‿•)
Step-by-step explanation:
[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]
6x2 - 5x - 4 is equivalent to:
-
1. (6x - 1)(x + 4)
3. (x - 1)(6x - 4)
-
2. (3x - 1)(2x - 4)
4. (2x + 1)(3x - 4)
Answer:
(2x + 1) (3x - 4)
Step-by-step explanation:
Solution:
6x² - 5x - 46x²- (8 - 3)x - 46x²- 8x + 3x - 42x (3x - 4) +1 (3x - 4)(2x + 1) (3x - 4)(20POINTS) I WILL MARK BRAINLIEST IMAGE IS BELOW
Answer:
10.6
Step-by-step explanation:
It forms a right angle traingle so use
16^2-12^2=112
and
root of 112=10.5830052443
Answer:
10.6cm is the radius
Step-by-step explanation:
1)First You square the lateral height (12cm)
=144
2)Then you square the height (16cm)
=256
3)Then you subtract height squared from lateral height squared
256-144=112
4)Then Find the square root from the result of step 3
112 squared is 10.58 (round to the nearest tenth)
10.6 is your answer!
Hope this helps BRAINLIEST PLEASE
Compute a value for x that satisfies the equation below.
-x + 5 = 1
A. x=4
B. x=-1
C. x = 0
D. X= 4
Step-by-step explanation:
-4+5
=1
therefore the answer is A.
Answer:
D) x=4
Step-by-step explanation:
-x+5=1
-x=1-5
-x=-4
x=4
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
The interval of systolic blood pressure will be between 155 to 95
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
From the question, we are told that
Mean x=125
Standard deviation = 10
The Percentage for men =99.75%
Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 10
Mean x= 125
Generally, the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = Mean ± (3x [tex]\sigma[/tex])
G= 125 ± (3 x 10)
G= 125 ± (30)
G = 155 and 95
Hence the interval of systolic blood pressure will be between 155 to 95
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Answer:
Step-by-step explanation:
Directions: Find the slo
(-13, 8) and (3, 12)
Answer:
slope =.25
Step-by-step explanation:
I assume this is asking to find the slope?
graph this equation and you'll see that the run is 16 and the rise is 4.
rise/run
4/16 = .25
What is the quotient of (x3 6x2 11x 6) ÷ (x2 4x 3)? x 2 x – 2 x 10 x 6
The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
How to determine the quotient?The quotient expression is given as:
[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]
Expand both expressions
[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]
Cancel out the common factors
x + 2
Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
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HELPPPP WITH MATH HOMEWORK PLS
Answer:
The length of the wing is 480 centimeters
Step-by-step explanation:
2 cm on the drawing is 192 cm on the acutal wing
2 = 192
divide both sides by 2
1 = 96
since the drawing has a length of five cm, multiply both sides by 5
5 = 480
therefore, 5 cm on the drawing is equal to 480 cm on the actual wing
what is the volume of 480in
Answer:
please check the question, it is not straight forward
- What is h(-8) for h(x) =
4
F.
-40
G. -72
H. -52
J. -60
-7x?
Answer:
16
Step-by-step explanation:
how to convince your parents to go shopping for clothes?
Answer:
Be Nice & Have Manners.
Step-by-step explanation:
Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.