Answer:
2.35 + 0.55 × 15 = 10.6
Therefore, she can go 10.6 miles.
Answer:
10.6
Step-by-step explanation:
2.35 + 0.55 x 15 = 10.6
I don’t if is good and the last I don’t know how to do it
From the given data, the first and third graph are correct.
1. For the first graph,
the two equation are -
y = -2x - 4
-4x + y = 2
Let us check the common points for the given graph,
(-1,-2)
y = -2x - 4 - 4x + y = 2
-2 = -2(-1) - 4 -4(-1) + (-2) = 2
-2 = -2 2 = 2
Hence it is correct.
2. For the second graph,
y = -3/2x - 2
y = -1/4x + 3
Common points are - (4,4)
y = -3/2x - 2 y = -1/4x + 3
4 ≠ -8 4 ≠ 2
Hence it is not correct.
3. For the third graph,
y = -5
y = 3x + 1
Common points are - (-2,-5)
y = 3x + 1
-5 = -5
Hence it is correct.
The correct graph for 2, graph is below,
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The point B lies on the segment AC.
Find the coordinates of B so that the ratio of AB to B C is 5 to 4.
A(-6,5)
B(?,?)
C(21,-13)
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
What is the surface area of an orange with a circumference of 10 in? Round your answer to the nearest square inch.
Answer:
A= 4pi r
C = 2pi r
Step-by-step explanation:
What additional information would be necessary to determine sin a without using the Pythagorean theorem explain brainly?
The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.
In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulae.
In order to determine sin a without using the Pythagorean theorem, we will need to have the value of the opposite side and angle. Sin (a) = opposite / hypotenuseHere, the hypotenuse is not given, so we will need to have the value of the opposite side and angle (a) in order to determine sin a without using the Pythagorean theorem.
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Explain why the initial value of any function of the form
f(x)= a(b) is equal to a.
Hello there!
Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.
Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.
A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit?
The sampling distribution of dis normal.
B
The sampling distribution of d is binomial.
с
The sampling distribution of dis uniform.
d is unbiased.
E
d is biased
Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
In plain English, what is the central limit theorem?
According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.
What is the central limit theorem and why is it significant?
Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.
Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.
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Every year Bob's grandmother knits him a cozy wool sweater for his birthday. Bob's favorite color is red so she plans to buy 700 yards of thick red wool for his sweater this year. She chooses a wool that is sold in 420-foot skeins, or bundles. How many skeins should she buy? (1 yard = 3 feet)
the circus admits children for $2 each and adults for $5 each. how many of each ticket were sold if 160 tickets were sold for $476
Answer: Children = 108
Adult = 52
Step-by-step explanation:
Let x = number of children
Let y = number of adult
Based on the information given, we can form an equation which will be:
x + y = 160 ........ i
2x + 5y = 476 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 320 ....... iii
2x + 5y = 476 ........ iv
Subtract iii from iv
3y = 156
y = 52
Number of adults = 52
Since x + y = 160
x + 52 =160
x = 160 - 52
x = 108
Number of children = 108
Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars.
Estimated Sales Volume=46.41+0.45(Advertising Expenditures) If the company has a target sales volume of $200,000 how much should the sales manager allocate for advertising in the budget? Round your answer to the nearest dollar.
The sales manager should allocate approximately 341311.111 for advertising in the budget.
What is advertising expenditure?Generally, Advertising expenditure refers to the amount of money that a company or organization spends on promoting their products or services through various forms of advertising media, such as television, radio, print, and online.
This can include costs for creating and producing advertisements, as well as fees for placing them on different platforms. Advertising expenditure can also be referred to as "advertising budget" or "advertising spend."
To find the advertising expenditure needed to reach a target sales volume of $200,000, we can use the equation provided: Estimated Sales Volume = 46.41 + 0.45(Advertising Expenditures)
We can set the target sales volume as the left-hand side of the equation and solve for the advertising expenditure:
200,000 = 46.41 + 0.45(Advertising Expenditures)
Subtracting 46.41 from both sides:
153,590 = 0.45(Advertising Expenditures)
To find the Advertising Expenditures, divide 153,590 by 0.45:
Advertising Expenditures = 341311.111
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What is the domain of the logarithmic function f/x )= LOGB X?
The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logb(x)
The domain of the logarithmic function [tex]f(x) = log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logb(x)
The domain of the logarithmic function [tex]f(x)=log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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Write the equation for a parabola with a focus at (0,5) and a directrix at x = -7
Answer:
(y-5)^2=14(x+7/2)
Step-by-step explanation:
The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
Given,
Focus of the parabola at (0, 5).
Directrix is x = -7.
The parabola is horizontal parabola since the directrix is a vertical line.
Equation of the parabola is of the form,
(y - k)² = 4p (x - h)
Here (h, k) is the vertex.
Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).
(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)
Now, p is the distance from vertex to focus.
p = 0 - -7/2 = 7/2 = 3.5
So the equation is,
(y - 5)² = 4× 3.5 (x - -3.5)
(y - 5)² = 14 (x + 3.5)
Hence the equation is (y - 5)² = 14 (x + 3.5).
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PLEASE HELP FOR BRAINLIEST!!
Answer:
Slope = 1/5
Step-by-step explanation:
After plotting the points you do rise over run. 1/5 or 1 over 5 meaning you rise 1 and run across 5 to get to the next point
If x = 6 and y = − 2 , evaluate the following expression: 2 x y
Answer:
-24
Step-by-step explanation:
2(6)(-2)
domain and range of f(x)=|x|
The domain and range of f(x) = |x| is
Domain: all real numbers
range: positive real numbers
What are absolute values?The distance of a number from a number line's origin is referred to as the absolute value of that number. Its representation is |x|, which establishes the size of any integer 'x'.
Any integer's absolute value, regardless of its sign, will be one of the real numbers, whether it is positive or negative. The modulus of x, which is represented by two vertical lines |x|, is a mathematical concept.
Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value.
Since absolute value can be zero the range is all positive numbers
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-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
5 6 7
Select the correct inequality symbol: x? 1
OK
Answer:
Option (1)
Step-by-step explanation:
From the given number line,
Arrow starts from x = 1 with a hollow circle and moves towards negative numbers.
Hollow circle represents the sign of less than (<) or Greater than (>).
And arrow towards negative numbers represents the sign of less than (<)
Therefore, x < 1 will be the answer.
Option (1) will be the correct option.
Question 1 (1 point)
If TR=11 what is the length of
RS
S.(Leave answer in terms of Pi)
make up an equation in the form of an y=kx +b, the graph which passes through the following points: (5,5) and (-10,-19)
Answer:
y = 8/5x - 3
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-19 - 5) / (-10 - 5)
-24 / -15
= 8/5
Plug in the slope and a given point into y = mx + b, and solve for b
y = mx + b
5 = 8/5(5) + b
5 = 8 + b
-3 = b
Plug in the slope and b into y = mx + b
y = 8/5x - 3
So, the equation is y = 8/5x - 3
(Car Sales) Of the cars sold during the month of July, 85 had air conditioning, 102 had automatic transmission, and 54 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 25 cars had only air conditioning, 56 cars had only automatic transmissions, and 26 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had exactly two of the given options
24 cars lacked power steering but did have air conditioning and an automatic gearbox.
According to the question,
No. of cars with Air conditioning = 88
No. of cars with Automatic transmission = 96
No. of cars with power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Power steering and automatic transmission both = 11
The calculation for missing values:
11 - 4 = 7
96-61-4-7 = 24
88-24-4-23=37
It is obvious that 24 cars lacked power steering but did have air conditioning and an automatic gearbox.
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Pls help me with math
Answer:1
Step-by-step explanation:;
What is the distance between -25 and -12 on
a number line?
units
Answer:
the distance would be 13 units
Answer:
Ot would be 13 units but I saw somone already posted But hope this helps
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Given:
The quadratic equation is:
[tex]12a^2+9a+7=0[/tex]
To find:
The solution of the given equation in simplest form by using the quadratic formula.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]12a^2+9a+7=0[/tex]
Here, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get
[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]
[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]
[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex] [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]
The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].
Therefore, the correct option is B.
In Lewis County , there were 2 , 277 student athletes competing in spring sports in 2014 . That was 110% of the number from 2013, which was 90% of the number from the year before. How many student athletes signed up for a spring sport in 2012
In the spring of 2012, 2300 student athletes participated in a sport.
How do I calculate a percentage?The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
In 2014, there were 2277 student athletes participating in spring sports.
Suppose there were x contestants in 2013.
The answer was 2277, which was 110 percent more pupils competing in 2014 than in 2013. So,
[tex]$110 \%$ of $\mathrm{x}=2277$$\frac{110}{100} \times \mathrm{x}=2277$$\mathrm{x}=\frac{2277 \times 100}{110}$$\mathrm{x}=2070$[/tex]
2070 pupils therefore competed in 2013.
Let y be the student who will be vying in 2012.
Now, the number of pupils competing in 2070 was 90% that of the year 2012's.
So,
[tex]$90 \%$ of $y=2070$$$\begin{aligned}& \frac{90}{100} \times y=2070 \\& y=\frac{2070 \times 100}{90} \\& y=2300\end{aligned}$$[/tex]
As a result, 2300 students competed in the 2012 competition.
Therefore, the answer is 2300.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Nick is driving from Brookville to Kansas City, a distance of more than 325 miles, to watch the Bengals play the Chiefs in the playoffs. After driving 75 miles, Nick stops for gas. Write and solve an nequality to determine how much farther Nick has to drive to reach Kansas City.
The distance that Nick has to drive to reach Kansas will be at least 250 miles.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.
An inequality to determine how much farther Nick has to drive to reach Kansas City will be:
x > 325 -75
x > 250
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An office manager is planning to set up three computer workstations
and a file cabinet in a space that is 27 feet wide. The file cabinet takes up
3 feet. What is the width of the space available for each computer work
station?
PLEASE HELP
!!!PLEASE HELP ASAP!!!
Thus, complete scale is: 1 inch = 57.7 miles
This can be solved by the concept of cross-multiplication method.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
Correct order is:
d. 27 / 1557 = 1/d
e. 27 . d = 1 . 1557
a. 27d = 1557
f. 27d / 27 = 1557 / 27
b. d = 57.7
c. scale: 1 inch = 57.7 miles
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x+3 if x >5
PLEASE HELP
Answer:
x>8
Step-by-step explanation:
If x>5, then adding 3 to it must mean the term is greater than 3+5 which is 8.
Alexis deposited $6,000 into an account that pays 3% interest compounded annually. He doesn’t withdraw or deposit any money for 4 years. How much interest did he earn in that time?
Answer:
$720
Step-by-step explanation:
The formula is:
A = P(1 + rt)
We know
P = $6000
r = 3% = 0.03
t = 4 years
A = 6000( 1 + 0.03 x 4) = $6720
Now we have to find the interest by taking
$6720 - $6000 = $720
So, he earns $720 in interest in 4 years.
help with this please.
I don’t know what is marked correct (fake answers will be reported because it is frustrating )