If H equals 98 ft and the number of floors of the building is 7 then the unit rate will be 14 feet.
Define ratio:
Ratios are defined as the comparison between two or more quantities or things.
In this question, we will compare the height of the building with the number of floors it has.
We are given;
the height of building 'h' = 98 ft
Number of floors = 7 floors
Ao we can compare their ratios as follow
ratio = 98 feet / 7 floors
Now, in order to get the unit ratio. we will divide the numerator by the denominator.
Unit rate = 14 feet/floor
Thus, each floor of the building has a height of 14 feet.
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please solve the questions on the paper
The values of the equations that are given will be:
17. b + 9 and -b + 7
18. c - 4 and c + 4
19. a + b - c and a + b + c
20. 5 + 2b and 5 - 2b
21. 4 - h - b and -b + h - 4
22. 2 - b - 2h and b - 2
How to express the equation?Based on the information given, it should be noted that the equations will be expressed thus:
It should be noted that an equation is used to show the relationship between the variables. The equations will be:
17. |b + 1| + 8
= b + 1 + 8
= b + 9
and
|b + 1| + 8
= -b - 1 + 8
= -b + 7
18. 5 - |c + 1|
= 5 - c + 1
= - c + 4
= c - 4
and
5 - |c + 1|
5 + c - 1
= c + 4
19. |a + b|- c
= a + b - c
and
-a - b - c
Multiply through by -
= a + b + c
20. 5 + |2b|
= 5 + 2b
and
5 + |2b|
= 5 - 2b
21. |4 - h| - b
= 4 - h - b
and
-4 + h - b
= -b + h - 4
22. |2 - b - h| - h
= 2 - b - h - h
= 2 - b - 2h
and
-2 + b + h - h
= b - 2
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How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7
The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.
How can the the number of times that is required to find?T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :
( 8* 10^- 5 ) /( 2 *10 ^-7) = 400
This implies that the value of 8* 10^- 5 is larger than 2 *10 ^-7, in 400 folds.
Therefore, option C is correct.
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What is the truth value for the following conditional statement?
p: false
q: true
~q —> ~p
OFT F
OFT T
OTT T
OFF F
Which graph shows a set of ordered pairs that represents a function?
First graph.
Step-by-step explanation:A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.
2. Is this graph a function?
This is not a function
Answer:
This graph is not a function
Step-by-step explanation:
Because it fails the Vertical line test
A baker uses 1 1\2cups of flour to make 12 cupcakes. How much flour does the baker use to make 288 cupcakes?
Write a division expression that is equivalent to 8/15 x (- 3/5)
Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Carlos
can use while staying within his budget.
Answer:
57 + 5x < 65
Step-by-step explanation:
57 + 5x < 65
5x < 8
x < 1.6
Solve the system using matrices. Enter fractional answers in decimal form.
x + 5y + 3z = 6
4y -z = 3
6x - 2y + 4z = 12
The solution to the system of three linear equations is the ordered triple
Answer:
f
Step-by-step explanation:
find the difference using the number line 3-1
f(x) = 4x + 6 and g(x) = 1/2 x f (x)
What is the function rule for function g?
g(x) = ____ x+_____
The function rule for function g is g(x)=2x+3.
We are given the function f(x).In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are used all the time.The function f(x) equals 4x + 6.The function g(x) equals (1/2)*f(x).We see that the function g(x) is just a modification of the function f(x).In the definition of the function g(x), substitute the value of the function f(x).The function g(x) becomes (1/2)*(4x + 6).Open the brackets and simplify.The function g(x) becomes 2x + 3.To learn more about similar functions, visit :
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Find the value of x.
(3x + 3) (5x + 1)
Please help me :)
Answer:
22
Step-by-step explanation:
The angles form a linear pair, and thus add to 180°.
[tex]3x+3+5x+1=180 \\ \\ 8x+4=180 \\ \\ 2x+1=45 \\ \\ 2x=44 \\ x=22[/tex]
(a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
1 hour = 60 minutes
46 hour = 46*60= 2760 minutes
in one year total number of days =365 days
in 365 days spent on project= 2760 minutes
per day spent on project = 2760/365
= 7.56minutes
Hence according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
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Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter.
The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.
The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.
Since we are provided with four red cards and four green cards so, the total possible combination of the 8 cards will be
C(8,2) = 28
out of which 2*C(4,2)=12 are the pairs of the same color
therefore the probability of picking a pair with the same color OR same letter is
1 - (12*4)/28^2 = 0.9388
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9. Higher Order Thinking Explain why when dividing fractions with the
same denominator, you can find the quotient by dividing the numerators.
Support your answer with an example using one or more mixed numbers.
One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.
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What is the WHOLE NUMBER solution to this system? Write your answer as an ordered pair (x, y). If the system does not have a solution, write NONE in the answer. Sy=2x² + 16x + 24 y=-x-2
Answer: 2(2−x)(x−6)
Step-by-step explanation:
I need help making sure these are the right answer thank you in advance!
Answer:
They are all incorrect except for C
Step-by-step explanation:
A. y = 4
B. y = -2x + 4
D. x = -4
find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten.
A(7,10) and B(9,-3) are separated by 13.1 units.
How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)
Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10, x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units
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Evaluate the function as indicated, and simplify.
g(x) = 2x² - 3x + 1
g(x) = 2x² - 3x + 1 =
-2 = 2[tex](x+2)^{2}[/tex]+ 3(x+2) - 1
-2 = 2( [tex]x^{2}[/tex] + 4x + 4) + 3(x+2) - 1
-2 = 2[tex]x^{2}[/tex] + 8x + 8 + 3x + 6 - 1
-2 = 2[tex]x^{2}[/tex] + 11x + 13
0 = 2[tex]x^{2}[/tex] + 11x + 15
0 = ( 2x + 5 )(kx + 3 )
2x + 5 = 0 ---> kx= -5/2
x+3=0 ----> x = -3
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output.
one of them sums up a function the best?
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output. So, this is the best choice.
The function's type is f/x)= 2x 2 + 3x 1.
Explanation: Since the polynomial f(x)=2x33x+1 is continuous and contains continuous derivatives of all orders for all real x, it unquestionably meets the theorem's hypotheses.
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Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answer: 240,000
Step-by-step explanation: Ok so to get the answer we first do
10 x 20 which is 200 then you do 200 x 30 which is 6,000 then we times the last number which is 40 which would look like 6,000 x 40 which equals 240,000. Hope this helps but also a quicker way in your head could be lining them up straight and down in your head with all the numbers and with all the zeros you will no the answer will have 4 zeros on the end of the answer then do 1 x 2 = 2 x 3 = 6 x 4=24 so then add the four zeros on the end and there you go you get your final answer of 240,000.
Solve for t.
-17 < 3t-14 + 14ts -8
Answer:
Step-by-step explanation:
Two Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars) for different numbers of months at Company A. The total cost $y$ (in dollars) for $x$ months of service at Company B is represented by $y=45x+50$ . Which company charges less per month?
Company A
Months, x Total cost, y
2
3
4
5
6
$180
$220
$260
$300
$340
An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.
Given that,
An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B.
We have to find which company has monthly fees that are lower.
Company A charges =220-180=40
Company A charges $40 per month.
Company B charges $45 per month
Because the slope is 45.
Therefore, Company A charges less per month then Company B.
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HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ y^{\frac{3}{4}} ~~ }{y^{\frac{1}{2}}}\implies \cfrac{ ~~ y^{\frac{3}{4}}y^{-\frac{1}{2}} ~~ }{1}\implies y^{\frac{3}{4}-\frac{1}{2}}\implies y^{\frac{1}{4}}\implies \sqrt[4]{y^1}\implies {\Large \begin{array}{llll} \sqrt[4]{y} \end{array}}[/tex]
Solve for value of x which makes line m and n parallel
I have a test tomorow and I dident study i need help what is 2 + 8 ples help
Answer:
10
Step-by-step explanation:
lol XD are you trolling?
5 3/4 - 2 1/4
help me please love
Answer:
3 2/4Step-by-step explanation:
5 3/4 - 2 1/4
whole numbers
5 - 2 = 3
fractions
3/4 - 1/4 = 2/4
so
3 2/4 is the answer
Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?
She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.
As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.
We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.
To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,
700 feet = (700 * 0.305) meters,
or, 700 feet = 213.5 meters.
Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.
Metric Unit System: It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.To learn more about the Metric Unit System, click on the link below.
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HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT )I HAVE OTHER QUESTIONS TOO HELP PLS)
The equation of the line perpendicular to the given line and passing through (-3, 7) is; y = (-2/3)x + 5
What is the equation of the Line in slope intercept form?
We are given the equation of a line as; y = (3/2)x - 1
Now, the general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, for our given equation we have;
Slope; m = 3/2
y-intercept; c = -1
Now, for a line perpendicular to this, will have a slope of -1/(3/2) = -2/3
Thus, equation of the line perpendicular to the given line and passing through (-3, 7) is;
y - 7 = (-2/3)(x - (-3))
y - 7 = (-2/3)(x + 3)
y = 7 - 2 - (2/3)x
y = (-2/3)x + 5
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Work out the surface area of the cylinder where the radius is 7 and the height is 12
Answer
625.52(pie)
Step-by-step explanation:
Is Simon’s work correct?