Two angles are ____ when they have a common vertex and a common side and don’t overlap.
A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What is the volume of the book? 47 1/2 in³ 80 1/2 in³ 148 3/4 in³ 179 1/2 in³
Which law would you use to simply the expression 3^10/3^4
simplify the expression 5+4•(8-6)^2
Please show steps.
A spider ate 25%, percent more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month?
Find the area of each figure.
Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 540 2 500 3 460 4 420 5 380 arithmetic sequence; common difference is −40 arithmetic sequence; common difference is 40 geometric sequence; common ratio is −40 geometric sequence; common ratio is 40
Answer:
arithmetic sequence; common difference is −40
Step-by-step explanation:
An arithmetic sequence is a sequence in which each term is found by adding a constant, called the common difference, to each previous term.
In this sequence, we go from 540 to 500 to 460, etc. Each time we are subtracting 40. This is the same as adding -40; this makes the sequence arithmetic.
The common difference of the arithmetic sequence will be negative 40. Then the correct option is A.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The table is given below.
n f(n)
1 540
2 500
3 460
4 420
5 380
The first term is 540 and the common difference of the arithmetic sequence is given as,
d = 500 - 540
d = - 40
The common difference of the arithmetic sequence will be negative 40. Then the correct option is A.
More about the arithmetic sequence link is given below.
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Solve
8x^2+5=35
Round to the nearest hundredth.
The solutions are
___ and ___
Thanks! I need help with this one.
Answer:
The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]
Step-by-step explanation:
we have
[tex]8x^{2} +5=35[/tex]
Solve for x
Subtract [tex]5[/tex] both sides
[tex]8x^{2} +5-5=35-5[/tex]
[tex]8x^{2}=30[/tex]
Divide by [tex]8[/tex] both sides
[tex]8x^{2}/8=30/8[/tex]
[tex]x^{2}=15/4[/tex]
Take square root both sides
[tex]x=(+/-)\sqrt{\frac{15}{4}} \\ \\x1=\frac{\sqrt{15}}{2}=1.94\\ \\x2=-\frac{\sqrt{15}}{2}=-1.94[/tex]
The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]
A group of 8 friends plan to go watch a movie but they only have 5 tickets. How many different combinations of 5 friends could possibly receive the ticket?
A)13
B)10
C)56
D)64
Find an equation of the line perpendicular to the graph of 14x-7y=4 that passes through the point at (2,-9)
Answer:
The correct answer is D) y= -1/2x-8.
Step-by-step explanation:
Edge 2021.
In which of the following circles are the values of the area and circumference the same? Approximate Π as 3.14.
a circle with a radius of 2 feet
a circle with a diameter of 2 feet
a circle with a radius of 4 feet
a circle with a diameter of 1 foot
Answer:
Circle with a radius of 2 feet
Step-by-step explanation:
A line Segment is part of a line that is bounded by two distinct end points. True or False?
The part of a line that connects two points.
It has definite end points.
Adding the word "segment" is important, because a line normally extends in both directions without end.
A diagram of line segment is attached with the solution .
A cylindrical candle has a height of 11 cm and a diameter of 10 cm.
what is the volume of the candle, rounded to the nearest whole number?
The answer is 864 cm³
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to answer questions (a) and (b) below.
A) What’s the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
11. The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.
Evaluate the expression for y = -7.
2y = __
Answer:
2y=-14
Step-by-step explanation:
If y=-7 and you multiply y by 2, you do the same thing to both sides and get -7 × 2 = -14
A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are $7, $8, $8, $12, $13, $15, $17, $18, and $20, which word or phrase best describes this kind of advertising?
The system of equations below has no solution 2/3x+5/2y=15 4x+15y=12 which equation could represent a linear combination of the system
Answer:
B.)0=26
Step-by-step explanation: Keep it simple
Complete the tasks to subtract the polynomials vertically. (1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t) What is the additive inverse of the polynomial being subtracted? –0.6t2 + (–8) + (–18t) –0.6t2 + (–8) + 18t –0.6t2 + 8 – 18t 0.6t2 + (–8) + 18t
Final answer:
The additive inverse of the polynomial [tex](0.6t^2 + 8 - 18t)[/tex]being subtracted is [tex]-0.6t^2 - 8 + 18t.[/tex] This involves changing the sign of each term in the polynomial.
Explanation:
The additive inverse of a polynomial is obtained by changing the sign of each term in the polynomial. Given the polynomial to be subtracted ( [tex]0.6t^2 + 8 - 18t)[/tex], its additive inverse is found by changing the sign of each term, resulting in [tex]-0.6t^2 - 8 + 18t.[/tex] This operation flips the signs, preparing the polynomial for the subtraction process without altering its magnitude but reversing its direction on the number line.
Jason's insurance company pays 80% of the cost of an ambulance ride, after he pays a $200 deductible. The ambulance ride costs $1200. How much would Jason pay for an ambulance ride?
A. $200B. $240C. $400D. $440
Answer:
400
Step-by-step explanation:
Batman is 4 times robins age the sum of their ages equals to 45 how old is batman and robin
Given that lines a and b are parallel and that m∠8 = 108°, find m∠3.
Answer:
The answer would be 72
3. Triangle ABC has angle measures as shown.
a) What is the value of x? Show your work.
Classify the polynomial according to its degree and number of terms.
7b^3 + 3b^2 − 7b
A. linear monomial
B. quartic monomial
C. linear trinomial
D. cubic trinomial
HELP ASAP!!
The degree of this polynomial is 3 and the number of terms is 3 which makes it a cubic trinomial.
The equation given to us here is
[tex]7b^3+3b^2-7b[/tex]
Data Given;
[tex]7b^3+3b^2-7b[/tex]From this equation above, we have to know the degree of the polynomial. This will enable us to know what type of polynomial is this.
Degree of PolynomialThe degree of the polynomial is the highest value of the power in any of the variable.
In this question, the highest degree of polynomial here is 3 and this makes it a cubic polynomial.
However, it have only three variables also which makes it a trinomial. Put together it becomes cubic trinomial.
Generally, the degree of polynomials and their names are,
2 degree = quadratic3 degree = cubic4 degree = quarticLearn more on polynomials here;
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Alice, Bob, Farhana, and Jamal went out for pizza. When the bill came, they decided to split the check. Alice figured out what she owed by multiplying the bill by 0.25. Bob figured his share by finding 30% of the total. Farhana figured out her amount by dividing the total by 3. To determine what he owed, Jamal found 12% of the total. Who paid the most money?
In the scenario where a pizza bill is split between Alice, Bob, Farhana, and Jamal, Farhana ends up paying the most since she covers approximately 33.33% of the total bill.
Explanation:The question asks about Alice, Bob, Farhana, and Jamal splitting a pizza bill and figuring out who paid the most. Alice paid 25% (0.25) of the total bill, Bob paid 30% (0.30), Farhana paid a third which is approximately 33.33% (1/3), and Jamal paid 12% (0.12). Given these percentages, it is clear that Farhana paid the most for the pizza because 33.33% is the largest percentage amongst all. Therefore, irrespective of the total bill amount, Farhana ended up paying the highest portion.
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Find the annual interest rate. I=$54, P=$900, t=18 months
Answer:
4%
Step-by-step explanation:
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Find two consecutive whole numbers that 76 lies between
PLEASE HELP
Describe the graph of y=1/2x-10 -3 compared to the graph of y=1/x
Answer: The graphs are attached.
Step-by-step explanation: We are to describe the graph of the function [tex]y=\dfrac{1}{2x-10}-3[/tex] compared to the graph of the function [tex]y=\dfrac{1}{x}.[/tex]
The graphs of both the functions are shown in the attached figure.
We can see that the graph of the function [tex]y=\dfrac{1}{2x-10}-3[/tex] is stretched by a factor of 0.5, shifted 5 units to the right and 3 units downwards as compared to the graph of the function [tex]y=\dfrac{1}{x}.[/tex]
Answer:
The graph of [tex]y=\frac{1}{2x-10}-3[/tex] is the graph of [tex]y=\frac{1}{x}[/tex] stretched vertically, shifted right by 10 unit and shifted 3 unit down.
Step-by-step explanation:
Given : The graph of [tex]y=\frac{1}{2x-10}-3[/tex] compared to the graph of [tex]y=\frac{1}{x}[/tex]
To find : Describe the comparison of the graphs.
Solution :
Let the parent function be[tex]y_1=\frac{1}{x}[/tex]
Transformed function [tex]y_2=\frac{1}{2x-10}-3[/tex]
Vertically Stretch:
If y =f(x) , then y= a f(x) gives a vertical stretch if a> 1.
Multiplying the parent function by 2 means you are stretching it vertically,
i,e [tex]y_1=\frac{1}{x} \rightarrow \text{Vertically stretch by 2} \rightarrow \frac{1}{2x} [/tex]
Shifting right :
f(x)→f(x-b), graph is transformed by b unit
Subtracting 10 means you are moving it right by 10 units
[tex]y_1=\frac{1}{2x} \rightarrow \text{Shifted right by 10 units} \rightarrow y_1=\frac{1}{2x-10}[/tex]
Shifting down :
f(x)→f(x)-b , graph is transformed by b unit
Subtracting 3 means you are moving it down by 3 units
[tex]y_1=\frac{1}{2x-10} \rightarrow \text{Shifted down by 3 units} \rightarrow y_1=\frac{1}{2x-10}-3=y_2[/tex]
Refer the attached figure below.
The graph of [tex]y=\frac{1}{2x-10}-3[/tex] is the graph of [tex]y=\frac{1}{x}[/tex] stretched vertically, shifted right by 10 unit and shifted 3 unit down.
Can anyone please help me with this problem? I got my answer incorrect, and I don’t understand why.
What is the order of 5 x 10^4, 7 x 10^-5, 3 x 10^-9, 8 x 10^4 from least to greatest?
The numbers 5 x 10⁴, 7 x 10⁻⁵, 3 x 10⁻⁹, and 8 x 10⁴ ordered from least to greatest are 3 x 10⁻⁹, 7 x 10⁻⁵, 5 x 10⁴, and 8 x 10⁴.
The order of the numbers 5 x 10⁴, 7 x 10⁻⁵, 3 x 10⁻⁹, and 8 x 10⁴ from least to greatest is as follows:
3 x 10⁻⁹7 x 10⁻⁵5 x 10⁴8 x 10⁴Here, the least number is 3 x 10⁻⁹ because it has the smallest exponent indicating the smallest value.
The greatest number is 8 x 10⁴, which has the highest exponent denoting the largest value.