Mark on the number line with a cross
What are terms with the same variable raised to the same exponent?
Answer:
Like terms are the terms with the same variable raised to the same exponentThe term used for the same variable raised to the same exponent is called Like terms.
What are exponents?
An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6.
Given that, What are terms with the same variable raised to the same exponent
Like terms are the terms that contain the same variables raised to the same power, the coefficients need not be the same. For example, 7x and 2x are like terms because both terms contain the same variable "x"
Hence, The term used for the same variable raised to the same exponent is called Like terms.
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one fourth the product of 3x and y
Answer:
[tex]\frac{3x}{4} and \frac{y}{4}[/tex]
Step-by-step explanation:
1/4(3x)= 3 divided by 4
=3x/4
1/4(y)= y divided by 4
=y/4
There are 111 students in a nutrition class. The instructor must choose two students at random. What is the probability that a senior Nutrition major and then a junior Nutrition major are chosen at random
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex] P(k \ n \ u ) = 0.02957[/tex]
Step-by-step explanation:
From the question we are told that
The total number of students is n = 111
The total number of senior nutrition major k = 19
The total number of junior nutrition major is u = 19
Generally the probability that a senior Nutrition major and then a junior Nutrition major are chosen at random is mathematically represented as
[tex]P(k \ n \ u ) = P(k) * P(u\ | \ k)[/tex]
Here [tex]P(k)[/tex] is the probability that a senior nutrition major is selected , this is mathematically represented as
[tex]P(k) = \frac{k}{n}[\tex]
=> [tex]P(k) = \frac{ 19}{111}[\tex]
and P( u | k) is the probability that a junior Nutrition major is selected given that a senior nutrition major has already been selected and this is mathematically represented as
[tex]P( u | k) = \frac{u}{n-1}[/tex]
=> [tex]P( u | k) = \frac{19}{111-1}[/tex]
=> [tex]P( u | k) = \frac{19}{110}[/tex]
So
[tex] P(k \ n \ u ) = \frac{ 19}{111} * \frac{19}{110} [/tex]
=> [tex] P(k \ n \ u ) = 0.02957[/tex]
8.Suppose that the seriesPcn has radius of convergence 5 and the seriesPdn has radius of convergence 8. What is the radius of convergence of the seriesP(cn dn)xn
Answer and Step-by-step explanation:
Solution:
Suppose the series:
Ʃcnxn
has the radius of convergence 5,
and the series:
Ʃdnxn
has the radius of convergence 8.
find the radius of convergence of series:
Ʃ ( cn + dn) xn = Ʃcnxn + Ʃdnxn
The radius of convergence of the cn series falls within the radius of dn, series.
So, both will converges for at least |x| < 5.
If we say, x = 5.5, then we get the sum of divergent series plus a convergent series, for which overall result is divergent.
For example:
∞ + a constant, gives result in ∞.
The radius of convergence is the minimum radius for which both series converges,
Which is 5.
Hence, R = 5.
The temperature fell 36oF in 9 hours. If the temperature fell at the same rate every hour, which represents the change in temperature each hour?
Answer:
4°F
Step-by-step explanation:
If the temperature fell 36°F in 9 hours, then;
36°F= 9hours
to get the change in temperature in 1 hour, we will say;
x°F = 1 hr
Since we have
36°F= 9hours
x°F = 1 hr
Cross multiply
9x = 1*36
9x = 36
x = 36/9
x = 4°F
Hence the change in temperature each hour is at 4°F
Twenty air-conditioning units have been brought in for service. Twelve of them have broken compressors, and eight have broken fans. Seven units are chosen at random to be worked on. What is the probability that three of them have broken fans
Answer: 0.3576
Step-by-step explanation:
Let the probability that the units that have broken fans from the seven units chosen at random be x.
The probability that three of them have broken fans will be 0.3576. Check the attachment for details
Miguel wants to repair his home. He places a 15-foot ladder up against his home 9 feet from the base of the house. How far up the house does the ladder reach?
Answer:
12 feet
Step-by-step explanation:
i always forget abt this thing but its important to remember the pythagorean theorm is a thing. the whole a^2 + b^2 = c^2 thing. at first i looked back at sohcahtoa but thats for an angle lol. sooooooo, knowing that the hypotenuse is the ladder and the ground is the base and seeing that we need to find a since b is the base and c is the hypotenuse, we should rearrange the equation so that we can find a so now it should look like this: c^2 - b^2 = a^2. then we plug in our numbers to get this: 15^2 - 9^2 = a^2. next we would square the 15 and 9 so now our equation looks like this: 225 - 81 = a^2. now we subtract so we have: 144 = a^2. then we should find the square root of each. the square root of a^2 is a and the square root of 144 is 12 so now we have the answer: a = 12. i hope that makes sense.
i hope this helps :))
How many more vehicles were driven between 50 and 100 thousand kilometers than between 250 and 300 thousand kilometers?
Help
Pls
Ion know the answers
Answer:
-3
Step-by-step explanation:
How did you get 497 ?
You need to put a little more information for me to be able to answer this
Which set of statements explains how to plot a point at the location N (23.-2) ? 1 O Start at the origin. Move 37 units right because the x-coordinate is units right because the x-coordinate is –3.-3. 5 is between 3 and 4. Move 2 units down because the y-coordinate is -2. 1. O Start at the origin. Move 3ā units down because the x-coordinate is -3.7. - 3 is between -3 and 4. Move 2 units left because the y-coordinate is -2. O Start at the origin. Move 3ā units down because the x-coordinate is -33.-3is between -3 and 4. Move 2 units 1 right because the y-coordinate is -2. O Start at the origin. Move 3ā units left because the x-coordinate is -3.3 is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
Start at the orgin and move 23 points to the right. Next move two points down.
Step-by-step explanation:
The ordered pair is in the form (x,y)
the x-term means left or right. Left is negative and right is positive.
The y-term means up or down. Positive is up and negative is down.
what is the square root of 264?
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[tex] \sqrt{264} = \sqrt{2 \times 11 \times 12} = \sqrt{2 \times 2 \times 2 \times 3 \times 11} = \\ [/tex]
[tex]2 \sqrt{66} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]2\sqrt{66}[/tex]
Step-by-step explanation:
[tex]\sqrt{264} =\sqrt{2^{3}11^{1}3^{1}} }=2\sqrt{66}[/tex]
Which number line represents the solutions to lx - 5] = 1?
--7-6-5 -4 -3 -2 -1 0 1
2
3
4
6
5
6
6
17
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
5 6
7
e
+
-7 -6 -5 -4 -3 -2 -1 0 1
N+
3
4
5 6
7
-7 -6 -5 -4 -3 -2 -1 0
1
2
2
3
4 5 6 7
The required number line that shows the solution of the given expression is the line that has blue points on numbers x = 4 and x = 6. Option B is correct.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
here,
In the question, 4 number line given with a number of point marked in blue representing the solution of the expression |x - 5| = 1, we have to determine the number which shows the correct solution of the given expression,
so,
Simplifying the given expression,
|x - 5| = 1
Since when we Un-mode the expression implement the ± on the other side.
x - 5 = ± 1
Case 1, taking (+)
x - 5 = 1
x = 6
Cae 2, taking (-),
x - 5 = -1
x = -1 + 5
x = 4
Thus, the required number line that shows the solution of the given expression is the line that has blue points on numbers x = 4 and x = 6.
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Of the following, which statement or statements accurately reflect a way in which credit can be safer than cash?
1. If your credit card gets stolen, you can cancel it and get your money back.
II. It is harder to lose a single credit card than a large number of bills.
III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges.
A.I and III
B.ll only
C.Ill only
d. 1, 11, and 111
Please select the best answer from the choices provided.
===================================================
Explanation:
Statement I is true. If your card gets stolen, then you can cancel it and get your money back. That's true and it happens all the time. The credit card company would issue a new card with a new number. Law enforcement is very likely to track the old card to catch the thief. Statement II is false. It's easier to lose a single small credit card than a large number of bills. Lost credit cards, not necessarily stolen ones, are also issued new replacements. Statement III is true. If you buy an item online for instance, and the item never arrives, then you can dispute the claim and get your money back. This also applies to payment processors such as Paypal and similar companies.If a bus traveled 120 miles in 2 hours, what was the average speed of the bus in miles per hour?
Answer:
60
Step-by-step explanation:
if you divide 120(the total distance traveled) by 2(the hours that it traveled) you get 60.
the answer is 60miles/1 hour or 60mph.
explanation:
so the bus completed 120miles in 2 hours. and they want you to find the speed or miles per hour the bus traveled. all you need to do is divide 120/2= 60 so the answer would be 60 miles per hour or 60mph. you know its right because the ratio of 120:2 shows how much per 2 hours we need to divide to find out how the ratio of miles:1 hours (which is better thought of as mph= miles per each hour) to show how much for 1 you divide both sides of 120:2 by 2. so 120÷2=60 : 2÷2=1 so you found the ratio is 60 miles per hour. 60:1 i hope that helps you guys out and that i didnt confuse you more.
If limx→3f(x)=7,
lim
x
→
3
f
(
x
)
=
7
,
which of the following must be true?
I. f is continuous at x = 3
II. f is differentiable at x = 3
III. f(3) = 7
8 avocados cost 4 dollars how much is nine
Answer:
$4.50
Step-by-step explanation:
because each avocado is .50 cents.
Quick
Check
Converting Percents to Decimals
Match the percent on the left with the decimal equivalent on the right.
4%
0.37
37%
1.80
400%
4.0
9%
0.04
180%
0.09
Answer:
Step-by-step explanation:
To convert percents to decimals, remove the percent and move the decimal point 2 to the left.
4 % = [tex]\frac{4}{100}= 0.40[/tex]
37% = 0.37
400% = 4.00 = 4
9% = 0.09
180% = 1.80
Answer:
400%=4.0 180%= 1.80 37%=.37 4%=.04 9%=0.09
Step-by-step explanation:
You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have an equal number of blueberry scones and an equal number of cranberry scones. What is the greatest number of bags you can fill? Explain.
Answer:63
Step-by-step explanation:im sure
Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know. Then find the product.
Answer:
0.161 which is less than one
Step-by-step explanation:
Pretty simple just 0.644 × 0.25 = 0.16100
But you can take off the zeros and it is less than 1 because it is 0.161 not 1.16
Jen bought 2,445 crackers. She bought 280 more. How many crackers does she have all together
Answer:
2,725
Step-by-step explanation:
Sprint offers the new iPhone 12 for a down payment of $30, plus $95 per month. Verizon offers the new iPhone 12 for a down payment of $45, plus $35 per month. In how many months will the phones cost the same amount?
x-(-3)=5 X = ? Please help me
Graph the linear equation.
Y = x/3 - 4
Need help!!!!
Answer:
slope -1/3 y-intercept (0,4)
Step-by-step explanation:
Answer:
See attached image for the graph
Step-by-step explanation:
Start by finding at least two points on the plane that satisfy the equation, and join them with a line.
Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":
when x = 0 then y = 0/3 - 4 = -4 then the point is (0, -4)
when x = 3 then y = 3/3 -4 = 1 - 4 = -3 then this new point is (3, -3)
when x = 6 then y = 6/3 - 4 = 2 - 4 = -2 then a third point is (6, -2)
We plot these points on the plane, and join them with a line, s shown in the attached image.
A reasonable estimate of the product is 280 true or false
Susan and Judy shared the driving on a trip. Of the 810 miles they drove, Susan drove twice as far as Judy. How many miles did Susan drive
Answer:
Given: total of 810 miles
Judy's miles = x
Susan's miles = 2x
Solution:
Solve for Judy's miles
2x + x = 810 miles
3x = 810 miles
(transpose) x= 810 miles / 3
x = 270 (Judy drove 270 miles)
Solve for Susan's miles
2x = Susan's miles
2(270 miles) = 540 miles
Answer: Susan drove for 540 miles
Answer:
Given: total of 810 miles
Judy's miles = x
Susan's miles = 2x
Answer: Susan drove for 540 miles
Step-by-step explanation:
Solution:
Solve for Judy's miles
2x + x = 810 miles
3x = 810 miles
(transpose) x= 810 miles / 3
x = 270 (Judy drove 270 miles)
Solve for Susan's miles
2x = Susan's miles
2(270 miles) = 540 miles
There are 15 carnival booths at the Elm Street Fair. One-fifth of the booths are
selling food. The rest of the booths are selling games. How many food booths are at
the Fair?
Answer:
3 food booths
Step-by-step explanation:
15* 1/5 or 15/5 = 3
Answer:
there would be 3 food booths at the fair
Step-by-step explanation:
1) Statisticians always prefer larger samples sizes to small ones. Describe the effect of increasing the size of a sample (the number of participants in an experiment) from 25 to 100 on the following, assuming the mean and standard deviations of the samples remain constant: (6 pts) a. How would the margin of error of a 95% confidence interval change
Answer:
The margin of error reduces to half of it original size
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Let assume the standard deviation is [tex]\sigma = 0.4[/tex]
When sample size is n = 25
[tex]E = 1.96 * \frac{0.4 }{\sqrt{25} }[/tex]
[tex]E =0.1568[/tex]
When sample size is n = 100
[tex]E_1 = 1.96 * \frac{0.4 }{\sqrt{100} }[/tex]
[tex]E_1 = 0.0784 [/tex]
So
[tex]\frac{E_1}{E} = \frac{0.0784}{0.1568} = \frac{1}{2}[/tex]
Hence the margin of error reduces to half of it original size
factor completely
6x^2-18x-60=??????
Answer:
6(x+2)(x-5)
Step-by-step explanation:
This is factoring trinomials, so x^2+ bx+c. In order to this you need to find two integers whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Step-by-step explanation:
6x^2 - 18x - 60 reducing it to a simplest form:
x^2 - 3x - 10
(x^2 - 5x) + (2x - 10)
x(x - 5) + 2(x - 5)
(x + 2)(x - 5)