Answer:
The last answer, D
Step-by-step explanation:
i got it right on ed
Answer
D
Step-by-step explanation:
just did it
How are exponents related to taking the root of a number
Answer:
both require powers
Step-by-step explanation:
Exponents refer to the power of numbers eg 3^5. Roots refer to two numbers which are the same which when multiplied result in a number. eg 3^2=9. or the square root of 9 is 3. Exponents and roots are related because they both require powers (ie..The same number multiplying itself for a number of times.
I am sorry if you get this wrong
Let x be a constant. The 5th term of an arithmetic sequence is a5=16x+11. The 9th term of the sequence is a9=28x+19. Find the first term of the sequence. Write your answer in simplest form
19
Step-by-step explanation:
The first term of the arithmetic sequence is 4x+3.
What is arithmetic sequence?An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.
The formula to find the nth term of an arithmetic sequence is,
aₙ= a+(n-1)d
Where a is the 1st term and d is the common difference.
Let the first term of sequence is a and the common difference is d.
Given that,
The 5th term of the arithmetic sequence = 16x+11,
⇒ a+4d= 16x+11 (1)
And the 9th term of the arithmetic sequence = 28x+19,
⇒ a+8d= 28x+19 (2)
To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.
(2a+8d)-(a+8d) = (32x+22) - (28x+19)
a = 4x+3
The first term of the arithmetic sequence is 4x+3.
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An ice cube decreases by half its volume every minute
as shown in the table. Which type of function can be
used to model this relationship?
The relationship can be modeled by
function.
Answer:
Step-by-step explanation:
it is exponential decay
f(x)=a(1/2)^x
where a is the original volume and x is the time in minutes.
Answer:
Its B. Exponential function
Step-by-step explanation:
Got it right on edge.
Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.
Answer:
A, B and D
Step-by-step explanation:
Which equations have the same solution as [tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x[/tex]
A. 8/5x + 2/3 = 1/2 – 1/5x
B. 18x + 20 + 30x = 15 – 6x
C. 18x + 20 + x = 15 – 6x
D. 24x + 30x = –5
E. 12x + 30x = –5
To find the equations with the same solution, we have to solve or x and determine if the value of x is the same for the remaining options.
[tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x\\multipying \ through \ by \ 30:\\18x + 20+30x=15-6x\\collecting\ like\ terms:\\18x+30x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A)
[tex]\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x\\ multipying\ through\ by \ 30\ gives:\\48x+20=15-6x\\48x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A has the same solution
B)
[tex]18x+20+30x=15-6x\\18x+30x+6=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
B has the same solution
C)
[tex]18x+20+x=15-6x\\18x+x+6x=15-20\\25x=-5\\x=\frac{-1}{5}[/tex]
C do not have the same solution
D)
[tex]24x+30x=-5\\54x=-5\\x=\frac{-5}{54}[/tex]
D has the same solution
E)
[tex]12x+30x=-5\\42x=-5\\x=\frac{-5}{42\\}[/tex]
E do not have the same solution
Which expression is equivalent to 9 p minus 3 p + 2? 8p
Answer:
6p - 2
Step-by-step explanation:
9p - (3p + 2) = 9p - 3p - 2 = 6p - 2
The expression that is equivalent to 9 p minus 3 p + 2 is 6p - 2
What is the expressionFrom the question, one have 9p - 3p + 2.
So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one have 9p - 3p.
Combining the coefficients, one get 9 - 3 = 6.
So, 9p - 3p is simplifies to 6p.
So, one have 6p + 2.
The expression is said to be now simplified to 6p + 2.
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Please answer ASAP !!
Answer:
Blueberry pie: $10
Blackberry pie: $12
Step-by-step explanation:
We can use system of equations for this problem. Let's use x for blueberry and y for blackberry.
Equation 1
8x+8y=176
This equation comes from how mush Heather sold.
Equation 2
8x+10y=200
This equation comes from how mush Kim sold.
We can use elimination method to find the value of y.
-2y=-24
y=12
Now, we know that a blackberry pie costs $12. We can plug this back into any of the equaitons above to find the price of a blueberry pie.
8x+10(12)=200
8x+120=200
8x=80
x=10
We know that a blueberry pie costs $10.
I need help on this question
Answer:
c
Step-by-step explanation:
A boy was watching the show standing on the ground. A jet fighter when 1000m high passes vertically above an other jet fighter at an instant, when the angle of elevation of the two jets from the boy are 60 degrees and 45 degree respectively. At what distance (vertical) the pilots were flying the jets at that instant
Answer:
The pilot above at 1000m above ground and pilot below 742.23 metres above ground
Step-by-step explanation:
Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air
Javier rounded to the nearest half to estimate the product of 3 and two-fifths and Negative 3 and StartFraction 7 over 8 EndFraction. How do the estimate and the actual product compare? The actual product is less than the estimate. The numbers differ by less than one. The actual product is greater than the estimate. The numbers differ by less than one. The actual product is less than the estimate. The numbers differ by more than one. The actual product is greater than the estimate. The numbers differ by more than one.
Answer:
- The actual product is less than the estimate
- The numbers differ by less than one
Step-by-step explanation:
Given
Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex]
Required
Compare actual result with approximated result
Calculating the actual result;
3 and two-fifths means [tex]3\frac{2}{5}[/tex]
So, the Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex] becomes
[tex]Product = 3\frac{2}{5} * -3\frac{7}{8}[/tex]
Convert fractions to improper
[tex]Product = \frac{17}{5} * -\frac{31}{8}[/tex]
Combine fractions to form one
[tex]Product = \frac{-17 * 31}{5 * 8}[/tex]
Multiply numerators and denominator
[tex]Product = \frac{-527}{40}[/tex]
Convert fraction to decimal
[tex]Product = -13.175[/tex]
The nearest half of -13.175 is -13
Hence;
[tex]Estimate = -13[/tex]
By comparison:-
- The actual product (-13.175) is less than the estimate (-13)
- The difference between both results is less than 1;
The difference is calculated as follows
Difference = |Actual Product - Estimate|
Difference = |-13.175 - (-13)|
Difference = |-13.175 +13|
Difference = |-0.175|
Difference = 0.175
Answer:
B
Step-by-step explanation:
The actual product is greater than the estimate. The numbers differ by less than one. took the test 2021
Oranges were on sale for $0.45 per pound, Leo bought 12,6 pounds. Which expression shows how to determine the total cost
of the oranges?
12.BX045
12.6-045
126+0.45
128+0.45
Answer:
12.6 * 0.45
Step-by-step explanation:
Cost of 1 lb of oranges = $ 0.45
Cost of 12 lbs of oranges = 12 * $ 0.45
Hope it helps : )
A poll is given, showing 55% are in favor of a new building project. If 10 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?
Answer:0.0041617435341797
Step-by-step explanation:
j
the probability that exactly 1 out of 10 randomly chosen people favor the new building project is approximately 0.2791, or 27.91%.
To calculate the probability that exactly 1 out of 10 randomly chosen people favor the new building project, we can use the binomial probability formula.
The formula for calculating the probability of getting exactly k successes in n trials, each with a probability of success p, is:
P(X = k) = C(n, k) * [tex]p^k * (1 - p)^{(n - k)[/tex]
In this case, n = 10 (number of trials), k = 1 (number of successes), and p = 0.55 (probability of success).
Using the binomial coefficient formula C(n, k) = n! / (k!(n - k)!), we can calculate the probability:
P(X = 1) = C(10, 1) * (0.55)¹ * (1 - 0.55)⁽¹⁰⁻¹⁾
P(X = 1) = 10 * (0.55)¹ * (0.45)⁹
P(X = 1) ≈ 0.2791
Therefore, the probability that exactly 1 out of 10 randomly chosen people favor the new building project is approximately 0.2791, or 27.91%.
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Let p, q be the solutions of the quadratic equation x^2 − 2mx − 5n = 0 and let m, n be the solutions of x^2 − 2px − 5q = 0. If p,q,m and n are real and non-equal, then the value of p + q + m + n is ....
(A) 15
(B) 30
(C) 75
(D) 150
(E) 225
Answer:
The correct option is;
(B) 30
Step-by-step explanation:
The equations are;
x² - 2·m·x - 5·n = 0.............(1)
Solution = p, q
x² - 2·p·x - 5·q = 0..............(2)
Solution = m, n
For equation (1), we have;
x² - 2·m·x - 5·n = 0 = (x - p)·(x - q)
x² - 2·m·x - 5·n = x² -x·p - x·q + q·p = x² -x·(p + q) + q·p
2·m = p + q..............(3)
5·n = -q·p..............(4)
Given the similarity between equation (1) and (2), we have;
2·p = m + n..............(5)
5·q = -m·n..............(6)
Therefore;
m = (p + q)/2
n = -q·p/5
Substituting the value of m and n in equation (5) and (6), we have;
2·p = (p + q)/2 - q·p/5.............(7)
5·q = (p + q)/2·q·p/5.............(8)
Making q the subject of equation (7) gives;
[tex]q = \dfrac{-7.5 \cdot p}{p -2.5}[/tex]
Substituting the value of q above in equation (8) gives;
[tex]-\dfrac{75\cdot p}{2\cdot p-5}=-\dfrac{3\cdot p^{4}-30\cdot p^{3}}{4\cdot p^{2}-20\cdot p+25}[/tex]
By cross multiplying and collecting like terms we have;
6·p⁵ -75·p⁴-150·p³+1500·p²-1875·p = 0
Which gives
(p+0)(p-1.91)(p-2.5)(p+5)(p-13.1)
p = 1.91 or 2.5 or -5 or 13.1
q = 24.27 or undef or -5 or -9.27
m = 13.09 or undef or -5 or 1.95
n = -9.27 or undef or -5 or -24.29
Therefore, p + q + m + n = 1.91 + 24.27 + 13.09 + (-9.27) = 30
The correct option is (B) 30
Which of the following demonstrates the Commutative Property of Multiplication?
a 5(2a − 3) = 10a − 15
b 10a − 15 = (2a − 3) ⋅ 5
c 5(2a − 3) = (2a − 3) ⋅ 5
d (5 ⋅ 2a) − 3 = 5(2a − 3)
Answer:
I think the is c 5(2a-3) = (2a - 3) . 5
Answer:
C
Step-by-step explanation:
Which situation is best modeled by the equation 9+=16
Answer:
4th option.
Step-by-step explanation:
You pay $9 and $__ for a total of $16.
$9 + $__ = $16.
9+__=16
In how many ways can the letters in a word spoon be arranged?
Which shows the best use of the associative and commutative to make simplifying 3/4-5+9-2/4+2 easier
Answer:
(not this) 3/4-5+9-2/4+2
Step-by-step explanation:
1 1/3 instead of 3/4 and 2/4
Sue has 20 biscuits There are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes two random biscuits Work out the probability that the two biscuits were not the same type
Answer:
58.43%
Step-by-step explanation:
The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:
The probability that they are equal is:
P (plain, plain) = (12/20) (11/19)
= 132/380
P (chocolate, chocolate) = (5/20) (4/19)
= 20/380
P (currant, currant) = (3/20) (2/19)
= 6/380
The final probability would be the sum of these:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 158/380
P (equal) = 0.4157
The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843
In other words, the probability would be 58.43%
20 POINTS + BRAINLIEST ||| Which of these scale factors will result in a reduction? A. 0 B. 1/2 C. 1 D. 5
Answer:
B
Step-by-step explanation:
When you dilate by a factor of 0, this doesn't really make sense because the length of each side is multiplied by 0, and the shape basically doesn't exist anymore. When you multiply by a scale factor of 1, the figure does not change in size at all. When you dilate by a scale factor of 5, each side length gets 5 times larger, meaning that this is not a reduction. Hope this helps!
Write an equation for a line that passes through the points (0, -4) and (1, 3).
Answer:
y = 7x - 4
Step-by-step explanation:
To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;
[tex]( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7[/tex]
Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );
[tex]y = mx + b -\\m = slope, b = y - intercept[/tex]
Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );
[tex]- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4[/tex]
From this information, we can say that the equation of this line is y = 7x - 4;
Solution, y = 7x - 4
I WILL MARK YOU BRAINLIEST ANSWER PLZ!!!
Answer:
B. 5
Step-by-step explanation:
If you plug the given choices in, -6 and 6 will create undefined answers. A zero in the denominator is always undefined. The only way to get the equation to equal zero would be if the numerator were equal to 0. Which would be 5.
Find the fifth term in the sequence that is defined as follows:
Answer : The fifth term in the sequence is -2.
Step-by-step explanation :
As we are given that the expression to calculate the [tex]n^{th}[/tex] term.
The expression is as follows:
[tex]a_n=2(-1)^n[/tex]
where,
n is the number of term
Given:
n = 5
Now putting the value of n in the above expression, we get:
[tex]a_n=2(-1)^n[/tex]
[tex]a_5=2(-1)^5[/tex]
[tex]a_5=2\times (-1)[/tex]
[tex]a_5=-2[/tex]
Therefore, the fifth term in the sequence is -2.
Are the mean, median and mode of a list of numbers equal or no? Please explain!
Answer:
nope!
Step-by-step explanation:
mean= average, total of numbers/ amount of numbers
median- if all the numbers were in a line what would be in the middle
mode-most reoccuring number- remember it cos it rhymes with most :)
hope this helps :)
can u pls give brainliest? :)
Answer:
No
Step-by-step explanation:
when you have a list of numbers:
The mean is all of the numbers added up and then divided by the number of numbers.
The median is "the middle number" So line them up in numerical order and find the middle number.
The Mode is the biggest number subtracted from the smallest number.
Help me please! I need help!
A 3-column table with 5 rows. Column 1 is labeled Week (w) with entries 0, 1, 2, 3, 4. Column 2 is labeled Plant 1 (h) with entries 2.5, 2.9, 3.1, 3.5, 3.9. Column 3 is labeled Plant 2 (h) with entries 2.5, 2.7, 2.9, 3.1, 3.3. Plant 1: h = 2.5 + StartFraction 4 Over 10 EndFraction w. Plant 2: h = 2.5 + one-fifth w. What statements can be supported by data from the table? Check all that apply. The table shows a partial representation of the equations. (2, 3.1) is an ordered pair from the table. Plant 1 grew faster than Plant 2. Both plants died at week 4.
Answer:
Plant 1 grew faster than Plant 2
Step-by-step explanation:
Comparing the data in the table, we conclude that Plant 1 has a faster growth rate than Plant 2. Plant 1 has a height of 3.9 while Plant 2 has a height of 3.3 in week 4 from which we come to know that Plant 1 grew faster than Plant 1 as both in week 0 were planted at the same height i.e. 2.5.
Answer:
edge 2020 A,B,&C
The table shows a partial representation of the equations.
(2, 3.1) is an ordered pair from the table.
Plant 1 grew faster than Plant 2.
Step-by-step explanation:
Plant 1: h = 2.5 + StartFraction 4 Over 10 EndFraction w.
Plant 2: h = 2.5 + one-fifth w.
What statements can be supported by data from the table? Check all that apply.
A-The table shows a partial representation of the equations.
B-(2, 3.1) is an ordered pair from the table.
C-Plant 1 grew faster than Plant 2.
D-Both plants died at week 4.
I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3
Answer:
-5.2
Step-by-step explanation:
15.6/-3= - 15.6/3= -5.2
Why does math is so harder for me. I do t understand if this will even help in the life
Answer:
it will come with time, you are too young
Step-by-step explanation:
you need minimum math for life experience, the rest, if not that interesting, might help in some circumstances but you will have someone to help if needed
Answer: Some things will.
Step-by-step explanation:
For example learning about money will help you in adulthood. But on the other hand, the Pythagorean theorem won't help you unless your an architect or study measurement.
I will mark you brainliest!!!! Which ordered pair is the best approximation of the solution?
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
What is the product?
386 times 24 = blank
9,264
9,274
9,364
9,474
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 miles per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace. Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours. What statement is the most accurate?
Answer: t > 5
Step-by-step explanation:
350 - 25 = 325
325 / 65 = 5
It said to reach over 350 miles, so it’s greater than 5
t > 5
Answer:
Carmen needs more than 5 hours to meet her goal.
Step-by-step explanation:
65t + 25 > 350
65t > 325
t > 25
Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.
So, Carmen needs more than 5 hours to meet her goal.