Answer:
y = x - 2
Step-by-step explanation:
Since m = 0, what we have so far is y=x+b
We have a point, which is (3,1)
Substitute the x and y with the x and y values in the coordinate point to solve for b (y-intercept).
1=3+b
1-3=3+b-3 undo the 3 by subtracting
-2 = b
y = x + -2 simplify
y = x - 2
The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What is the
difference between the number of passenger cars produced in Asia and the number produced
in Eastern Europe/Russia?
Latin America
North America
Eastem Europe/Russia
Asia
Westem Europe
0 2
4 6 8 10 12 14 16
Cars produced (in millions)
The difference between the number of passenger cars produced in Asia and the number produced in Eastern Europe/Russia is given as follows:
3 million.
What is shown by the bar graph?The bar graph given by the image at the end of the answer shows the number of passenger cars produced in each of the regions.
From the graph, the numbers for each region are given as follows:
Latin America: 2 million.North America: 3 million.Eastern Europe/Russia: 8 million.Asia: 11 million.Western Europe: 15 million.Then the difference between the number of passenger cars produced in Asia and the number produced in Eastern Europe/Russia is calculated as follows:
11 - 8 = 3 million.
Missing InformationThe bar graph is given by the image shown at the end of the answer.
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Which of the following expressions are equivalent to - (8/3)
The solution is, the following expressions are equivalent to 4⁻³ / 4⁻⁸
A. 4^8/4^3
D. 4⁵
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
We have to calculate to find the result -
The expression is = 4^(-3)/4^(-8)
According to the indices rule, the power will be deducted if it is a division.
Therefore, a^m/a^n = a^(m-n)
Using that formula,
4⁻³ / 4⁻⁸
= 4⁸ / 4³
= 4⁽⁸⁻³⁾
=4⁵
Therefore, the answer choice D is the option, and the answer is 4^5.
Option A is also correct.
Because we can find 4^5 with the help of that option.
Alternative way,
4^(-3)/4^(-8)
= 4^(-3+8)
= 4^(8-3)
= 4^8/4^3
In the is way, we can also find option A is correct.
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complete question:
Which of the following expressions are equivalent to 4^-3/4^-8?
Determine the equation that represents the proportional relationship shown in each table below.
Drag an equation into the box beside each table.
k=4/5h k=5/4h h=1/5 k h=5/1 k
The equations of the proportional relationships from the table are k = 5h, k = 5/4h and k = 1/5h
How to determine the equations of the proportional relationships?From the question, we have the following parameters that can be used in our computation:
Table 1Table 2Table 3The equation of a proportional relationship is represented as
k = Y/X * h
Where
(X, Y) is the coordinate of any ordered pair from the function or table
Using the above as a guide, we have the following:
Table 1
k = 10/2 * h
Evaluate the products and the quotient
k = 5h
Table 2
k = 5/4 * h
Evaluate the products and the quotient
k = 5/4h
Table 3
k = 5/25 * h
Evaluate the products and the quotient
k = 1/5h
Hence, the equations are k = 5h, k = 5/4h and k = 1/5h
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there are 12 levels in Zoe new video game suppose she plays the same number of levels each day what are all the possibilities for the number of days Zoe could play the game without repeating a level show you work ?
Answer:
17
Step-by-step explanation:
Use the formula A=(1+r/n)^nt to solve the compound interest problem.
Find how long it takes for 900$ to double if it is invested at 6% interest compounded monthly.
The money will double in value in approximately ? years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The total years taken to double the money according to Compounding will be 12.5 years.
What is compound interest?
Compound interest is that the interest on savings calculated on each the initial principal and therefore the accumulated interest from previous periods.
Main body:
Given :
rate = 6%
amount = $900
Total amount = $1800
Compounded monthly,
so formula becomes,
Total amount = amount (1+r/1200)^12t
T = A[tex](1+r/1200)^{12t}[/tex]
1800 = 900 (1+6/1200)^12t
2 = (1+1/200)^12t
2 = 1.005^12t
taking log on both sides
log 2 = 12t *log 1.005
0.3/0.002 = 12t
t = 12.5 years
Hence the time taken to double the money is 12.5 years.
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Simplify please!
Sqrt(-256x^8)
Precious is twice as old as Mika 2 years ago. The difference of their present age is 7. What is Precious' present age?
the answer is 14
simply multiply mika age by 2
since the difference is 7
meaning that mika is seven
and twice is 14
find the 16th term of the arithmetic sequence whose common difference is d=7 and whose first term is a↓1=-2
The 16th term of the arithmetic sequence value is 103.
How to find 16th term of the arithmetic sequence?The 16th term of the arithmetic sequence whose common difference is d=7 and whose first term is a↓1=-2
An arithmetic sequence is defined as an=a1+d (n-1). In essence, this indicates that the term you're looking for, an, is equal to the first term, a1, plus the term difference, d, times the number of terms, n, minus one. For this issue, that essentially means that
an=a1+d(n-1)
The value of an at term sixteen is equal to -2 + 7*. (16-1)
PEDMAS is used to
a16= -2+7*15
a16= -2+105
a16= 103
Therefore, 103 will be the 16th term's value.
The 16th term of the arithmetic sequence value is 103.
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A 33-m tall building casts a shadow. the distance from the top of the building to the tip of the shadow is 34m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer:
8.2 m
Step-by-step explanation:
You want the length of the shadow whose tip is 34 m from the top of a 33 m building.
HypotenuseThe described geometry can be modeled by a right triangle with one leg 33 m and hypotenuse 34 m. The Pythagorean theorem tells us the length of the other leg is ...
a² +b² = c²
b² = c² -a²
b = √(c² -a²)
b = √(34² -33²) ≈ 8.2 . . . . meters
The length of the shadow is about 8.2 meters.
__
Additional comment
The angle of elevation to the top of the building can be found from the trig relation ...
Sin = Opposite/Hypotenuse
And the length of the shadow can be found from the relation ...
Cos = Adjacent/Hypotenuse
If α is the angle of elevation, then ...
sin(α) = 33/34 ⇒ α = arcsin(33/34)
and
Adjacent = Hypotenuse × cos(α)
Adjacent = 34·cos(arcsin(33/34)) ≈ 8.2 . . . . meters
where the "adjacent" side of the triangle is the side between the building and the tip of the shadow, along the ground.
Willka can cover 13.5 m^2 with 3L of paint
Complete the table using equivalent ratios.
Willka covers 4.5 m² in 1L paint and 45 m² in 10L in paint according to the table.
What are equivalent ratios?
We know that the equivalent ratio is defined as the ratio which is having the same proportion as given ratio.
Now, using the division property of the ratio, we will divide the given ratio with the same number both sides.
According to the given question:
If Willka covers 13.5 m² with 3L paint, to cover x m² she will need 1L paint
By equivalent ratios
13.5 : 3 = x : 1
x = 13.5 / 3
x = 4.5
Similarly to cover y m² she needs 10L paint
13.5 : 3 = y : 10
y = 13.5 x 10/3
y = 45
Therefore the answer for the blanks is 4.5 and 45.
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On Kate's reading app, she eams one star for every six books she reads. So far she has read 1.590 booksHow many stars has she earned?
Answer:
265
Step-by-step explanation:
1590/6=265
265x1=265
Each marble bag sold by Ashley's Marble Company contains 3 green marbles for every 5 yellow marbles. If a bag has 18 green marbles, how many yellow marbles does it contain
Number of yellow marbles for every 18 green marbles = 30 yellow marbles
What is unitary method ?The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.
According to the given information
Applying the unitary method
Number of yellow marbles for every 3 green marbles = 5
Number of yellow marbles for every One green marbles = [tex]\frac{5}{3}[/tex]
Number of yellow marbles for every 18 green marbles = [tex]\frac{5}{3}[/tex] × 18
So
Number of yellow marbles for every 18 green marbles = 30 yellow marbles
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Write an equation in slope intercept form
Answer:
y = 2x - 5
Step-by-step explanation:
slope = 1-(-3)/3-1
4/2 = 2
this is the m value, or value before x.
So far, this is what we have: y = 2x + b
To find b, we plug in one of the points we have, into the equation.
(in this case ill use (3, 1), where 3 is the x and 1 is the y)
So,
1 = 2(3) + b
1 = 6 + b
1 - 6 = b
-5 = b
Finally,
y = 2x - 5
Tricia got a 56% on her math test.
If she answered 14 questions
correctly, how many were on the
test?
Answer:
25 Questions
Step-by-step explanation:
RationingThis Question tests on the concept of Rationing using percentages.
Eg. 45% of 100 = 45, therefore 100% of 100 = 100.
SolutionGiven information from the question:
56% = 14 Questions
1% = (14 ÷ 56) Questions
Total number of questions in the test = 100%
100% = (14 ÷ 56) × 100 Questions = 25
Answer:
[tex]\huge\boxed{\sf 25\ questions}[/tex]
Step-by-step explanation:
Let the total questions be x.
Given that,
56% of total questions = 14
Key: "of" means "to multiply", % means out of hundred.
[tex]\displaystyle \frac{56}{100} \times x = 14\\\\0.56 \times x = 14\\\\Divide\ 0.56\ to\ both\ sides\\\\x = 14/0.56\\\\x = 25[/tex]
So, there were 25 questions on the test.
[tex]\rule[225]{225}{2}[/tex]
Which could be the first step in solving the equation represented by the model below?
Add 4 positwe unt tles to each side.
Remove 4 unit ties from each side.
Add 6 positive unit tiles to each side.
Remove 6 unit tiles from each side.
To each side, add 4 positive unit tiles.
What is a one-variable linear equation and what does it look like?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The initial formula is:
3x - 4 = 2x + 5
Four positive unit tiles are added to each side, giving us:
3x - 4 + 4 = 2x + 5 + 4
3x = 2x + 9
which removes the independent elements off both sides of the equal sign and places them all on the right side (the +9 term), simplifying the initial equation. You'll see that the other choices don't produce this outcome.
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If a fair coin is tossed 5 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Probability to get at most 2 heads after flipping coin for 5 times is 1/2.
What is probability?Probability is the ratio of good outcomes to all possible outcomes of an event is known as the probability.
The number of positive results for an experiment with n outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
With a fair coin, there are [tex]2^{5}[/tex] = 32 possible combinations of heads and tails after 5 flips.With 0 heads,5C0 = 5!/0!5! = 1 ways
get one head 5C1 = 5!/ 4!1! = 5 ways
To obtain precisely 2 heads,5C2 = 5!/ 2!3! = 10 ways
Obtain 3 heads,5C3 = 5!/ 3!2! = 10 ways
Total methods to gain at most 2 heads are 1+5+10 = 16.
Probability to get at most 2 heads is = ( total methods to gain at most 2 heads)/(total ways)
P(total methods to gain at most 2 heads) = 16/32 =1/2.
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rhonda's cell phone plan cost 50$ per month plus 0.25 for each text she sends, how many text messages can she send and still pay less than a total of 70$
The text messages that Rhonda can send and still pay less than a total of $70 is less than 80 messages.
How many text messages can she send?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the number of tests be represented by t.
The inequality will then be:
50 + 0.25t < 70
0.25t < 70 - 50
0.25t < 20
Divide
t < 20/0.25
t < 80
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You take a vacation with your family to Cancun, Mexico. One day you decide to rent a jet ski while at the beach. The equation T=
0.55m 5 gives the total cost in dollars T for renting a jet ski for m minutes. What is the cost for renting a jet ski for 35
minutes?
Answer:
19.25
Step-by-step explanation:
t = .55m
t = .55(35)
t = 19.25
I am not sure what you mean by 5 give the total cost in dollars T. I am not sure where the comes from.
Answer:
$24.25
Step-by-step explanation:
Given equation:
[tex]T=0.55m+5[/tex]
where:
T = total cost of renting a jet ski (in dollars)m = number of minutesTo find the total cost of renting a jet ski for 35 minutes, substitute m = 35 into the given equation and solve for T:
[tex]\implies T=0.55(35)+5[/tex]
[tex]\implies T=19.25+5[/tex]
[tex]\implies T=24.25[/tex]
Therefore, the total cost of renting a jet ski for 35 minutes is $24.25.
Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply] * Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the above
are NOT true for binary search algorithm.
Now, According to the question:
Options 1, 3 are NOT true for binary search algorithm
Hence, Binary search algorithm can be used for any arrays.
and, The worst-case time complexity of binary search is greater than sequential search
are NOT true for binary search algorithm.
In the question:
Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply]
Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the aboveLearn more about Algorithm at:
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(2,5) and (-4,2) in standard form
The standard form is y= 1/2x+ 4.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
(2,5) and (-4,2)
So, slope
= (2- 5)/ ( -4 - 2)
= -3 / (-6)
= 1/2
and, using slope- intercept form
y- 5 = 1/2( x - 2)
y-5 = 1/2x -1
y= 1/2x + 4
Hence, the standard form is y= 1/2x+ 4.
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A school club visits. a museum, Students tickets cost $ 6. Non- student ticket’s cost $12. The club paid $240 for tickets. (1) Define variables (1) Create an equation that models this situation (2) Rewrite equations slope intercept form.
"Define variables"
→ The number of student's tickets = a
→ The number of non-student tickets = b
→ the total cost represented = y
"Create an equation that models this situation"
→ y = $5 × a + $10 × b
"Rewrite the equation in slope intercept form"
→ y = $5 × a + $10 × b
→ y = 5a + 10b
→ 250 = 5a + 10b
A small cube has the volume shown. Its side length is 3.5 in. less than a second, larger cube. What is the volume of the larger cube?
Volume:85 in^3
Answer:
not possible
Step-by-step explanation:
Answer:
[tex]493.039 \;in^3[/tex]
Step-by-step explanation:
If each side of the cube is [tex]a[/tex] then the volume of the cube is given by [tex]a^3[/tex]
If Volume is [tex]V[/tex] then each side [tex]a = \sqrt[3]{V}[/tex]
Here we are given the volume of the smaller cube as [tex]85\; in^3[/tex]
So each side of this cube = [tex]\sqrt[3]{85} = 4.396 \approx 4.4 \;in[/tex]
and each side of the larger cube [tex]= 4.4 + 3.5 = 7.9\;in[/tex]
Volume of larger cube [tex]= 7.9^3 = 493.039 \; in^3[/tex]
HELP What is the solution to this inequality? 6.9 < x−3 1/2
Answer:
Solve for x
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form: x>10.4
Interval Notation: (10.4,∞)
Step-by-step explanation:
evaluate: x2 - y2 by replacing x with 1/2 and y with 1/4
[tex]x^2 - y^2[/tex] when x = 1/2 and y = 1/4
[tex]\frac{1}{2} ^2 - \frac{1}{4} ^2\\\\=\frac{1}{4}-\frac{1}{16} \\\\= \frac{4}{16}-\frac{1}{16}\\ \\= 3/16[/tex]
12. Carly's family is going to buy cell phones for the entire family. After some research they have narrowed their choices
down to 2 companies. AT&T charges a monthly rate of $100 plus $15 for each phone on the account. Their competitor,
Sprint, charges a flat monthly fee of $200 and they will receive an unlimited number of phones on the account.
a. Write an equation for the cost of each cell phone provider and then graph the equations.
AT&T:
Sprint:
b. Use any method to determine which company would be cheaper if Carly's family consists of Carly, mom, dad, two brothers, and one sister. Explain your reasoning
Answer:
Step-by-step explanation:
a. The equation for the cost of AT&T would be $100 + $15n, where n is the number of phones on the account. The equation for the cost of Sprint would be $200.
We can graph these equations on a coordinate plane with the x-axis representing the number of phones on the account and the y-axis representing the monthly cost. The graph for the cost of AT&T would be a straight line starting at the point (0,100) and going through the point (1,115), (2,130), etc. The graph for the cost of Sprint would be a horizontal line at the y-coordinate of 200.
b. In order to determine which company would be cheaper for Carly's family, we can simply plug in the number of phones they have (5) into each of the equations we derived in part a. This would give us a cost of $200 for AT&T and $200 for Sprint. In this case, both companies would be equally cheap for Carly's family.
Alternatively, we could graph the equations and see which company's line is lower on the y-axis for the given number of phones (5). This would also show that both companies would be equally cheap for Carly's family in this case.
Look at photo for problem
Just need chart filled out
5. y=(x+4)(x-1)
On solving the given equation y=(x+4)(x-1) the point on the graph are as follows:
(-4,0), (-1,0), (2,6), (-3,-4) &(0,-4)
What is a graph?
A relation is a specific instance of a function graph. A function is truly equivalent to its graph in set theory and the current mathematical underpinnings.
It is frequently more helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. For instance, the codomain should be considered while determining if a function is onto (surjective) or not. The codomain of a function is not determined by the graph alone.
It is typical to use the phrases function and graph of a function interchangeably since, although referring to the same thing, they suggest distinct ways of looking at it.
1)
let y=0
0=(x+4)(x-1)
i.e. x = -4 and -1
2)
Let x =0
y=(0+4)(0-1)
y=-4
3)
Let x = 2
y=(2+4)(2-1)
y=6
4)
Let x = -3
y=(-3+4)(-3-1)
y=-4
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Simplify the expression using properties of operations 7 1/3t-(10 2/3t-6)
The result is 6-13/3×t after simplification by multiplying first and added the like term.
What do you mean by properties of operation?The procedure of calculation which we use in arithmetic. We perform our mathematical calculation by using particular operational properties such as addition, subtraction, multiplication and division.
How do we simplify mathematical terms?we can simplify any expression by using the properties of addition, subtraction, multiplication or division depending on the statement given.
in the above expression 7×(1/3)t- [10×(2/3)t-6]
we simplify it (7/3)t- (20/3)t+6
-(13/3)t+6
hence, 6-13/3t
hence, the result is 6-13/3×t
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What is the net force if the forces are balanced? 0N,-5N,100J, 5N
When forces are balanced the sum of the net force is 0 N
What is net force?The total of all forces exerted on an object is known as the net force.
A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.
When there are a lot of forces acting on a system, the term "net force" is employed.
When the net force is summed to zero then the forces are said to be balanced
Hence a zero net force is a balanced force and will result to 0 N
N is the short form of Newton which is the unit of force
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Kelly wants to fill 2 punch bowls for a birthday party. Each punch bowl holds 7 2/5 quarts of punch. How much punch will Kelly need?
Answer:
14 4/5
Step-by-step explanation: 7 2/5 x 2 or 7 2/5
+7 2/5
-------
14 4/5
How many unit cubes would you need to create a tower that was 7 units tall and 3 units deep?