Answer:
the smallest even whole number which is divided by 3 is 6
MN has a slope of 4/5 and PQ has a slope of -4/5.Are the lines parallel, perpendicular, or neither?
Answer:
Neither
Step-by-step explanation:
MN: slope = 4/5
PQ: slope = -4/5
Two lines are parallel when their slopes are equal but their y-intercepts are different.
Two lines are perpendicular when their slopes are negative reciprocals of each other.
The negative reciprocal of 4/5 (MN) is -5/4
PQ -4/5
-5/4 [tex]\neq[/tex] -4/5
therefore the lines are Neither
Part A
A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth? Choose the number to complete the statement.
The estimate for the number of miles traveled is
Choose...
.
Part B
Which of the following statements explains how you should round 213.709?
A.
Since the digit in the hundreds place is less than 5, keep the digit in the hundredths place. Then drop the digits on the right.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the hundredths place is less than 5, leave the digit in the hundredths place and drop all the numbers on the right.
The option C is correct.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
In the given statement is
A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?
and, Choose the number to complete the statement.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
The option C is correct.
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what 2 numbers can you add to get 7 and multiply to get - 8
The two numbers are 8 and - 1.
What is a quadratic equation ?A quadratic equation is of the form ax² + bx + c = 0.It has highest degree of 2 and has two roots.
According to the given question we have to find two numbers that when we add we get 7 and when we multiply we get - 8.
This can be solved by quadratic equation
x² + 7x - 8 = 0.
x =(7±[tex]\sqrt{49 + 32}[/tex] )/2.
x = (7±[tex]\sqrt{81}[/tex] )/2.
x = (7±9)/2.
x = 8 or x = - 1 .
This can also be solved by logic and practice for small numbers like two numbers multiples to - 8 and add to 7.
a + b = 7 and a×b = - 8.
(8×-1) = -8 and ( 8 - 1 ) = 7.
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Multiply and collect like terms (6d-1)(3d^2+2d-7)
Help me please ASAP !
Answer: C
Step-by-step explanation:
Answer:
[tex](\sqrt[12]{8} )^x[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{8} ) \frac{1}{4} x = 8\frac{1}{3} \frac{1}{4} x = 8\frac{1}{12} x = (\sqrt[12]{8} )^x[/tex]
g(x) = 3x^2-2x+1
Find g(-2)
Answer: g(-2) = 17
Step-by-step explanation:
When finding g(-2), we will substitute all values of x for -2 in the function. First, we will substitute values in. Then, we will simplify by squaring, multiplying, and adding.
g(x) = 3x² -2x + 1
g(-2) = 3(-2)² -2(-2) + 1
g(-2) = 3(4) + 4 + 1
g(-2) = 12 + 4 + 1
g(-2) = 17
give the interval(s) of x such that k(x) > 0. use the union symbol between multiple intervals
The union symbol between multiple intervals in the graph is (-7,-3)
From the graph,
I) Value of x does h(x)=-1
x = -5
J) interval(s) of x such that h(x) > 0
x = (-∞,-7) U (-3,4]
K) interval(s) of x such that h(x) < 0
x = (-7,-3)
An abstract depiction of several points connected by lines is called a graph. The lines are referred to as edges, and each point is typically referred to as a vertex (more than one is referred to be vertices).
Graphs are a tool for connection modeling. They are employed to solve a variety of issues. A diagram that shows how a variable varies in relation to one or more other variables, such as a collection of points, lines, line segments, curves, or regions.
A grouping of all points whose coordinates meet a certain relation (such as a function).
Graphs and charts are useful visual aids because they make information accessible and quick to understand.
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what's the simple notation of by parts differentiation
Answer:
[tex]{ \tt{ \int_{b} ^{a} (u) \: dv = uv - \int_{b}^{a} (v) \: du }} \\ [/tex]
Answer:
integral (u v') = uv - intgral (u' v)
A travel agent receives a 6% commission on the base fare of a customer- that is, the fare before sales tax is added. If the total fare
charged to a customer comes to $787.91 including 5.5% sales tax, how much commission should the agent receive?
The agent will get $47.2746 for his commission.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used. A percentage is a number with no dimensions; it has no unit of measurement. To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating the percentage.
So, we have to take out 6% of $787.91 in order to obtain the commission of the agent.
Then,
787.91/100 × 67.8791 × 6$47.2746Therefore, $47.2746 will the agent get for his commission.
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4y2+5y-8y2+4-2y=
I need to explain how I resolved this problem?
Would you classify the number 55 as a perfect square, perfect cube, both, or neither? Explain.
Answer:
Neither because the number 55 squared is in between 7. (7*7=49) and 8. (8*8=64). When cubed, it is in between 3. (3*3*3=27) and 4. (4*4*4=64) Therefore, the number 55 cannot be perfectly squared or cubed. (You can put it in your own words)
Answer:neither
Step-by-step explanation:
because 55 is neither
if the 1st number in a series of consecutive odd numbers is less than 8 the last number in the series, how many numbers are there in a series?
There are 5 consecutive odd nos.
To find : no . of terms in a series of consecutive nos .
To proceed ,
Let the series start from 7 which is an odd numbers [we can start the series from any odd number and go up to next 8 numbers]
the odd consecutive series 7 , 9 , 11 , 13 , 15 .
There are 5 numbers in total .
The 1st number is 7 and the last number is 15 .
Therefore , difference between the 1st and the last number is 15 - 7 = 8 .
Hence , there are 5 consecutive odd nos .
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Limite de 2x^2+3x-9/x-1.5 cuando x 1.5
El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.
¿Es evitable la discontinuidad de una ecuación racional?
En este problema tenemos el caso de una ecuación racional cuyo numerador y denominador son polinomios.
La discontinuidad de la ecuación racional es evitable si y solo si tanto el numerador y el denominador tienen la misma raíz. La existencia de la discontinuidad evitable se comprueba mediante procedimientos algebraicos. En consecuencia, realizamos la siguiente comprobación:
f(x) = (2 · x² + 3 · x - 9) / (x - 1.5)
f(x) = [(x - 1.5) · (x + 3)] / (x - 1.5)
f(x) = x + 3
La discontinuidad es evitable y la función existe para x = 1.5, entonces:
f(1.5) = 1.5 + 3
f(1.5) = 4.5
El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.
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64° 42 °
xº
48°
Find the value of x
What is the first step in solving the quadratic equation x2 – 40 = 0?
Answer:
x=20
Step-by-step explanation:
1-reoder the terms
2-Move constant to the right
3-dive both sides
just hit the image and you will get a representation on how to do it
What is the coefficeient of the term of degree 2 in the polynomail below? x^6+3-2x^2+4x^7-4x
The coefficient of the term of degree two in the polynomial [tex]x^{6} + 3 - 2x^{2} + 4x^{7} - 4x[/tex] is 2
Polynomial is defined as an expression formed by the combination of a constant value and a same variable having different degrees (also called as powers).
The constants and variables form terms which are interlinked with the operators such as addition, subtraction or multiplication.Coefficient of the term is the constant value attached with the variable having different powers.Coefficient of the term of degree 2 in the polynomial [tex]x^{6} + 3 - 2x^{2} + 4x^{7} - 4x[/tex] is 2 because the term [tex]2x^{2}[/tex] is having the variable as x and its degree as 2 and the attached constant value is 2.
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Kurt Ross earns a 2% commission on the sale of $ 510, 00 home. What is his commission?
Answer:
1,020 if you meant 51,000
10,200 if you meant 510,000
Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows: Wheel alignment: $110 Transmission fluid flush: $75 Cabin air filter: $23 What is her total estimate for the repairs?
The total estimate for the repairs when Pam takes her truck in for basic service is $200.
How to illustrate the information?Based on the information given, the costs are as follows:
Wheel alignment: $110 = $100
Transmission fluid flush: $75 = $80
Cabin air filter: $23 = $20
Therefore, the total estimate for the repairs will be:
= $100 + $80 + $20
= $200
Therefore, the total estimate for the repairs when Pam takes her truck in for basic service is $200.
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are used to label the quadrants.
Find the product. (2y - 6)2
Estimation Solve the equation. First estimate using the perfect square closest to 44. Then use a calculator.
g²=44
PLEASE HELP
Answer:
Step-by-step explanation:
g² = 44
[tex]\sqrt{g^{2} }[/tex]= [tex]\sqrt{44}[/tex]
g = 6.63
Good estimate: 6.5
if f(x) = x^3, write a new function, g (x), that applies the following transformations
A reflection across the x-axis
A vertical stretch by a factor of 4
A reflection across the y-axis
A horizontal compression by a factor of 1/5
Your answer must begin with " g (x)= "
x
)
=
"
Answer:
g(x)= 0 or the factor of 0 is mine
help help help help help
Answer:
x > 2
Step-by-step explanation:
when a line has an open circle it is greater/less than the number it is on, a closed circle means it could be than number, so greater than or equal to. This equation is an open circle (so it's not equal to) and is on the 2. So you know the equation is x < or > 2. To find if it's < or >, you look at what direction the line goes. This one is to the right. If you notice the > looks like an arrow pointing to the right, so you can know > is the right symbol to use. The full equation will be read, x is greater than 2. Hope this was helpful!
The speed limit in Canada is 100km/hr. What is the value of this limit in mi/hr given 1mi = 1.609km?
Answer:
62.14 miles per hour
Answer: 100 km/h is equal to 62.14 mph
So, 100 km/h is equal to 62.14 miles per hour.
Answer:
62.15 mi/hr
Step-by-step explanation:
Given:
1 mile = 1.609 kmAs both speed limits are given "per hour", we only need to convert 100 km to miles. To do this, set up and solve a ratio for "miles to kilometers", where x is the number of miles to 100 km:
[tex]\implies \sf 1 : 1.609 = x : 100[/tex]
[tex]\implies \sf \dfrac{1}{1.609} = \dfrac{x}{100}[/tex]
[tex]\implies \sf \dfrac{1}{1.609} \cdot 100= x[/tex]
[tex]\implies \sf x= \dfrac{100}{1.609}[/tex]
[tex]\implies \sf x= 62.15040398...[/tex]
Therefore, 100 km/hr = 62.15 mi/hr (2 d.p.)
You are solving a measurement problem where the numbers 2.09*10^(9) and 4.053 × 10^−4 are divided. How many significant digits should the quotient have?
Answer:
3
Step-by-step explanation:
You want to know the appropriate number of significant digits in the quotient of measurements 2.09×10^9 and 4.053×10^-4.
Significant digitsThe number of significant digits in a number written in scientific notation is the count of digits in the mantissa. Numbers with more significant digits are considered to be more precise.
2.09×10^9 . . . . has 3 significant digits
4.053×10^-4 . . . . has 4 significant digits
Product or QuotientWhen imprecise numbers are multiplied or divided, the resulting product or quotient cannot be more precise than the least precise number used. The quotient of numbers with 3 and 4 significant digits will only have 3 significant digits.
The soccer team and the football team are sharing the fields for their practises today. the soccer team needs to practice every 3 days, and the football team needs to practice every 5 days. if today's day is September 12 what is the next day the two teams are shared the share the same field
Using LCM, we calculated that the two teams will share the same field on 27 September.
What is LCM?The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
The LCM of 5 and 3 is 5×3
= 15
So the two teams will share the same field after 15 days.
So, the both teams will share the same on 27 September.
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Homework My Classwork Practice Badges Formatting Help
ork
056
06a
1076
136
2
Answer:
V
Avetis had m dollars in his wallet. He bought 3 cakes which cost k dollars each. How
much money does he have left in his wallet?
GRADE ANSWER
Previous
A
W
Need help
The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Avetis had m dollars in his wallet. He bought 3 cakes which cost k dollars each.
Hence:
Total cost of cakes = 3 * k = 3k
Total money he had left = m - 3k
The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k
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Velma wants to buy a house that is listed for $195,000. Her bank offers a 30-year fixed-rate mortgage with an APR of 3.9%. What will her monthly house payment be?
Based on the amount that Velma wants to buy the house for and the fixed-rate mortgage offered by her bank, her monthly house payments will come to $919.75
What are the monthly house payments?The monthly house payments are constant so they are an annuity. The loan amount of $195,000 will be the present value of the annuity.
The monthly rate is:
= 3.9% / 12
= 3.9/12%
The number of periods is:
= 30 x 12
= 360 months
The monthly house payments is:
195,000 = Amount x (1 - (1 + 3.9/12%)³⁶⁰) / 3.9/12%
Amount = 195,000 / 212.01344311265715516703523151038
= $919.75
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A college is trying to determine a nickname for its sports teams, and 4 different nicknames have been proposed. 4,783 people are all going to vote, and the nickname that receives the highest number of votes will win.
What is the smallest number of votes that a nickname could receive and be declared the winner?
Answer:
1196
Step-by-step explanation:
4,783 / 4 = 1195.75
If you round that up, you get 1196.
David trips every two out of nine stairs he trip for the 58th time how many stairs did.
he climb
Answer:
261 stairs
Step-by-step explanation:
If David trips twice every 9 stairs and he has tripped 58 times. We can multiply 9 by 58.
58*9=522
Since David trips twice in 9 stairs, then to find how many stairs he has climbed we need to divide 522 by 2.
522/2=261
David has climbed 261 stairs.
