Answer:
B. 160 hits
Step-by-step explanation:
544 × .294 = 159.936, which rounds to 160.
The equation y=0.74x+64 gives the cost y of renting a car if the car is driven x miles. Based on this equation, for every mile the car is driven the cost of increases by how much?
For every mile the car is driven the cost increases by $ 0.74 or 74 cents.
It is given in the question that the equation y = 0.74x + 64 gives the cost y of renting a car if the car is driven x miles.
It is a linear equation in 2 variable.
We have to find, for every mile the car is driven the cost increases by how much.
As we can observe from the equation, 64 is the fixed cost of renting a car, $ 0.74 is the cost of driving per mile.
Hence, for every mile the car is driven the cost increases by $ 0.74 or 74 cents.
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A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h=16t+28t+8 gives the height h (in feet) of the snowboarder after t seconds. What is the maximum height of the snowboarder?
The maximum height of the skateboarder is 40.25 feet after 0.875 seconds
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let h(t) represent the height of the skateboarder after t seconds.
h(t) = -16t² + 28t + 8
The maximum height is at h'(t) = 0
h'(t) = -32t + 28
-32t + 28 = 0
32t = 28
t = 0.875s
h(0.875) = -16(0.875)² + 28(0.875) + 8 = 40.25 feet
Maximum height is 40.25 feet
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solve using completing the square.
[tex] {x}^{2} + 2x - 15 = 0[/tex]
[tex]x^{2} + 2x - 15 = 0[/tex] -> [tex](x+1)^{2} - 16 = 0[/tex]
-> [tex](x+1)^{2} = 16[/tex]
-> x+ 1 = 4 or -4
-> x = 3 or -5
Answer:
[tex]x=3, \quad x=-5[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]x^2+2x-15=0[/tex]
Solve by Completing the SquareStep 1
Move the constant to the right side of the equation:
[tex]\implies x^2+2x-15+15=0+15[/tex]
[tex]\implies x^2+2x=15[/tex]
Step 2
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]\implies x^2+2x+\left(\dfrac{2}{2}\right)^2=15+\left(\dfrac{2}{2}\right)^2[/tex]
[tex]\implies x^2+2x+1=15+1[/tex]
[tex]\implies x^2+2x+1=16[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+1)^2=16[/tex]
Step 4
Square root both sides:
[tex]\implies \sqrt{(x+1)^2}=\sqrt{16}[/tex]
[tex]\implies x+1=\pm4[/tex]
Step 5
Subtract 1 from both sides:
[tex]\implies x+1-1=-1\pm4[/tex]
[tex]\implies x=-1\pm4[/tex]
Solutions
[tex]\implies x=-1+4=3[/tex]
[tex]\implies x=-1-4=-5[/tex]
Therefore, the solutions of the given quadratic equation are:
[tex]x=3, \quad x=-5[/tex]
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The sales tax in your city is 4.4\%4.4%4, point, 4, percent, and an item costs \$3$3dollar sign, 3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
If the sales tax in your city is 4.4% and an item costs $3 before tax the amount of tax you would pay on that item is $0.132.
Sales taxSales tax is the tax amount that is charge on goods customers buys.
Using this formula to determine the sales tax
Sales tax = Sales tax percentage × Cost of item
Where:
Sales tax percentage = 4.4% or 0.044
Cost of item = $3
Let plug in the formula so as to find the sales tax
Sales tax = 0.044 × $3
Sales tax = $0.132
Therefore the sales tax amount is $0.132.
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The function fis defined by the following rule.
f(x) = 5x-2
Complete the function table.
Description of a Function : Consider two nonempty sets, X and Y. A relation that links exactly one element from X to Y is known as a function from X into Y.
f(x) = 5x-2 ?
Solution:
f(x) = 5x-2
5x-2 = 0
5x = 2
x = 0.4
f(0.4) = 5(0.4)-2
= 0
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A 30cm 40cm page of a book includes a 2cm margin on each side, as shown. What percentage of the page is occupied by the margins
If a (30cm by 40cm) page of a book includes a 2cm margin on each side, then the margins occupy 11.67 percentage of the total surface area of one side of the pages.
As per the question statement, a (30cm by 40cm) page of a book includes a 2cm margin on each side.
We are required to calculate the percentage of the total surface area of one side of the pages, occupied by the margins.
To solve this question, first we will need to calculate the total surface area of one side of the pages, and also the surface area occupied by the margins on one side, and then simply, calculate the percentage amount between the two area values.
Since the dimensions of the pages of the book are (30cm by 40cm), therefore, area of one side of each page = (30 * 40) sq. cm.
= 1200 sq. cm.
And, area occupied by the margins on each side of the page
= [(2 * 30) + (2 * 40)] sq. cm.
= (60 + 80) sq. cm.
= 140 sq. cm.
Therefore, percentage of the total surface area of one side of the pages, occupied by the margins = [(140/1200) * 100] = 11.67%
Percentage: In mathematics, a Percentage is a number or a ratio, expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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find the value of g(ƒ(1))
f(x) = −2x +4
g(x) = 3x² - 7x +9
Answer:
f=4
Step-by-step explanation:
I think it's right but not 100% sure
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, what is the probability it’s a two-headed coin?
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin
Definition of probability
(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:
C₁⁶⁵= 65!/1!(65-1)!
= 65
Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
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identify the independent variable and the dependent variable. a cabinet shop wants to determine the effect of adhesive brands on the bonding of veneer to cabinets. the independent variable is . the dependent variable is
The dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
What is a Dependent variable?In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule. A test score, for instance, could be a dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.So, in the given sentence, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
Therefore, the dependent variable is "Bonding of veneer to cabinets" and the independent variable is "a cabinet shop".
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B. Between which two consecutive integers does the square root lie?
Answer:
The square root of what number?
When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is
Which set may be the lengths of the sides of an isosceles triangle?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: Correct \:\: Choice\:\: D[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
For being the sides of an Isosceles triangle, the measure of two sides should be equal. and it should also fulfil the criteria of being a triangle.
i.e sum of either two sodes shouldn't exceed the third one, and difference between any two sides shouldn't be smaller than the third side.
So, keeping that in mind, the only option that satisfy the criterias is :
D. 4, 4, 6
As it has two equal sides measuring 4 each, and it fulfils the criteria of being a triangle too.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
Step-by-step explanation:
6. a. i. Using a scale of 2cm to 2units on both axes, draw on a sheet of graph paper two axes ox and 0 to 10 ii. On this graph sheet, mark the x-axis from 10 to 10 and the yaxis from -10 to iii. Draw triangle PQR with coordinates, P(2,2) Q(4,6) and R(6,2). iv. Draw the image triangle PQ,R of triangle PQR under a refection in the line 0 where P→ P₁, QQ, and RR, Write the coordinates of P₁, Q, and R. v. The image triangle P, Q, R, of triangle P₁, Q₁, R, under a rotation of 180° about the origin when P,→P₂, Q₁→Q₂ and R,→R₂. Write down the coordinates of P₁ Q₂ R₂. vi. Find P,R..
Answer:
i dunno
Step-by-step explanation:
hard man
The length of a colorado brook trout is normally distribute. what is the probability that a brook trout's length exceeds the mean? (round your answer to 2 decimal places.) the likelihood of a value greater than the mean is .50 because the whole area under the curve is 1 and the mean is the midway point.
The probability that a brook trout's length exceeds the mean is 0.50.
How to find the probability in normal distribution?One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.
We are given;
Distribution of length of a Colorado brook trout; Normal Distribution
Now, we want to find the likelihood of a value greater than the mean is 0.50.
We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.
Thus, by the property of a normal distribution, the probability is 0.50.
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If a company's current sales revenue is $1,386,000 and its marketing objective is to increase sales by 10 percent during the next year, what is the dollar sales goal or the following year?
Answer: ales revenue = 1,386,000 dollars Increase sales in percent = 10 percent Increase sales in dollars = 1,386,000 dollars * 0,1 = 138,600 dollars New sales goal in dollars = 1,386,000 dollars + 138,600 dollars = 1,524,600 dollars
New sales goal is 1,524,600 dollars.
Step-by-step explanation:
fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?
There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.
Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.
Here, we will use the combination rule to find out the possible triangles,Thus, the total number of possible triangles = 15C3 = (15.14.13) / (1.2.3) = 455
Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.
For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.
And 12/3 = 4 dots would be between any two connecting dots.
Taking 1st connecting dot, the second connecting dot would be
1 + 4 + 1 = 6th
Similarly, the third connecting dot would be 6 + 4 + 1 = 11th
So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);
After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:
So, there are 455 - 5 = 450 triangles that are not equilateral triangles.
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What is the value of x?
(2x - 5)°
n
l
m 45°
Answer:
x = 70
Step-by-step explanation:
(2x - 5) and 45 are same- side interior angles and sum to 180° , that is
2x - 5 + 45 = 180
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
Simplify the expression. Write the answer in scientific notation.
(5x10^-3) (7×10^-2)
(5x10^-3) (7x10^-2)=0
(Simplify your answer. Use scientific notation. Use the multiplication symbol in the math palette as needed.)
The result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
What is scientific notation?
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ [tex]10^{8}[/tex].
The expression in scientific notation is
(5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) = 5×7 × [tex]10^{-3-2}[/tex]
= 35 × [tex]10^{-5}[/tex]
Therefore, the result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
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Line r is shown in the xy-plane. Line q (not shown) is perpendicular to line r. What is the slope of line q?
The Slope of the line q equals 3.
Given the slope of line r is -
slope = perpendicular / base
Finding the equation of line using coordinates (2,3) and (-1,4)
putting the values in the equation,
y2 - y1 / x2 - x1
⇒ 4-3 / -1 -2
⇒ 1/-3
⇒ -1/3
Slope of the line r is -1/3
As line q is perpendicular to line r,
Using the property, 2 lines perpendicular to each other have slope = negative reciprocal of slope 1
the slope of line q becomes 3
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Find the value of x.
Answer:
2.28 or 2.2
Step-by-step explanation:
46 angle and 18x+5 angle make a z formation and the interior is always the same
46 -5 =41
41/18 =2.2777
round it off and you get 2.2
you can always verify it by putting it in the place of x
Stat 0,-10 and -6,-8
The midpoint of the given coordinates of points (0,-10) and (-6,-8) is ( -3,-9 )
How determine the midpoint between two point?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point 1( 0,-10 )
x₁ = 0y₁ = -10Point 2( -6,-8 )
x₂ = -6y₂ = -8Midpoint = ?
To determine the midpoint, plug the given points into the midpoint formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ( 0 + (-6) )/2, ( (-10) + (-8) )/2 )
M = ( ( 0 - 6) )/2, ( -10 - 8 )/2 )
M = ( ( -6 )/2, (-18 )/2 )
Midpoint M = ( -3,-9 )
Therefore, the midpoint of the coordinates is ( -3,-9 ).
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HURRY
What is the distance between the points(−5, −9) and (−5, 13)?
Responses
4 units
11 units
16 units
22 units
Answer:
22
Step-by-step explanation:
The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.
the answer is D) 22.
One batch of mooncakes contains 1/4 tablespoons of kansui. How many tablespoons of kansui are
needed to make 1 3/5 batches of mooncakes?
From the division property, the required kansui is 5/32 tablespoon.
What is division?
One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.
Given that a batch of mooncake contains 1/4 tablespoon of kansui.
Given batch of mooncake is 1 3/5 = 8/5
Therefore,
[tex]\frac{\frac{1}{4}}{\frac{8}{5}}\\=\frac{1}{4} \times \frac{5}{8}\\=\frac{5}{32}[/tex]
Hence, the required kansui is 5/32 tablespoon.
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very much so impossible math that i need help wit
For triangle UTV reflection across y = 1 would be,
U' = (0, 2)
T' = (-3, 3)
V' = (-1, 5)
And for triangle HIJ the reflection across y = -2 would be,
H' = (-5, 1)
I' = (-3, -3)
J' = (-2, -1)
1)
In this question, we have been given a triangle UTV.
We need to find the the coordinates of the triangle if it is reflected across the line y = 1
Coordinates of UTV are:
U = (1, 2)
T = (-3, -1)
V = (-1, -3)
If we take the reflection across line y = 1 then,
U(1, 2) --> U'(0, 2)
T(-3, -1) --> T'(-3, 3)
V(-1,-3) --> V'(-1, 5)
2)
In this question, we have been given a triangle HIJ.
We need to find the the coordinates of the triangle if it is reflected across the line y = -2
Coordinates of HIJ are:
H = (-5, -5)
I = (-3, -1)
J = (-2, -3)
If we take the reflection across line y = -2 then
H(-5, -5) --> H'(-5, 1)
I(-3, -1) --> I'(-3, -3)
J(-2, -3) --> J'(-2, -1)
Therefore, for triangle UTV reflection across y = 1 would be,
U' = (0, 2)
T' = (-3, 3)
V' = (-1, 5)
And for triangle HIJ the reflection across y = -2 would be,
H' = (-5, 1)
I' = (-3, -3)
J' = (-2, -1)
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Help fast please hurry
I beleive it would be D
baby blender, a blender used to liquify food for babies, wants to gauge the response of customers to the newest version of its product. in order to do so, the marketing team at baby blender restricts the respondents to mothers with children under the age of one. this scenario exemplifies multiple choice quota sampling. descriptive research. simple random sampling. snowball sampling. causal research.
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .
The method is helpful for marketing the goods and services of the company .
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
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Which expression is the completely factored form of y² + 2y - 15
O (y-5)(y+3)
O (y+5)(y+3)
○ (y+5)(y-3).
O(y-5)(y-3)
Answer:
(y+5)(y-3)
Step-by-step explanation:
..........
Answer:
y^2-3y+5y-15
y(y-3)+5(y-3)
(y-3) (y+5)
What is the value of −4 + (−16) + 23?
43
3
−11
−35
Step-by-step explanation:
3 ................
.
........................
Answer:
3
Step-by-step explanation:
–4 + (–16) + 23
–4 – 16 + 23
–20 + 23
= 3
EVENING PUZZLE: 7 years ago I was 7 years older, 7years Later how old am I?
Answer:
21
Step-by-step explanation:
You are 14 right now if you were 7 yo 7 years ago. Add 7 more years to 14 and you get 21
3/5x + 1/4y=-1/2 slope intercept form
Answer: [tex]y= \frac{-12}{5}x -2[/tex]
Step-by-step explanation:
1) Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2
Answer: y=-12/5(x-2)
Step-by-step explanation:
Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2