Answer:
[tex] {x}^{ - 2} = \frac{1}{ {x}^{2} } \: \: –> {7}^{ - 2} = \frac{1}{ {7}^{2} } = \frac{ 1}{49} \\ \\ {x}^{ - 1} = \frac{1}{ {x}^{1} } \: –> {7}^{ - 1} = \frac{1}{ {7}^{1} } = \frac{1}{7} \\ \\ {x}^{0} –> {7}^{0} = 1 \\ \\ {x}^{1} –> {7}^{1} = 7 \\ \\ {x}^{2} –> {7}^{2} = 49[/tex]
A bottle contains 20 blue bags and 15 red bags. If two bags are picked at random one after the other with replacement, what is the probability that the first bag is blue and then red?
Answer:
12÷49Step-by-step explanation:
The total number of bags in the bottle = 20 + 15 = 35
Then
the probability that the first bag is blue = 20/35
If we replace the first bag :
the probability that the second (picked) bag is blue = 15/35
Conclusion:
If two bags are picked at random one after the other with replacement
Then
the probability that the first bag is blue and then red is :
(20÷35)×(15÷35)
= (4÷7)×(3÷7)
= 12÷49
= 0.244897959184
how many whole numbers are less than n?
Danielle Cecil's driver-rating factor is 1.60 and her car is in age group D and insurance-rating group is 12.
She wants 100/300 bodily injury and $50,000 property damage coverage.
102377
The value of the annual premium will be $1134.40
How to calculate the premium?From the information given, the annual base premium will be:
= Liability premium + Collision premium + Comprehensive premium
= $383 + $240 + $86
= $709
The annual premium will be:
= Annual base premium × Driver eating factors
= $709 × 1.60
= $1134.40
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Necesito las respuestas
Answer:
I need it in English please so I can helps
by factoring, identify the zeros of the quadratic function f (x) = x²-9x-22
Answer:
x= -2, x= +11
Step-by-step explanation:
I hope this is right!
To factorise, we need two numbers that add to make -9 and multiply together to make -22.
2 - 11 works, so we put it in the brackets in this order.
(x + 2) (x - 11)
so x + 2 = 0 and x - 11 =0
but we could also simplify this to say that x could be either -2 or + 11.
I hope this helps.
Have a lovely day.
HELP ASAP!!
What is the midpoint of the line segment graphed below?
choice (A) is correct
hope it helps
Which is the area between the x-axis and y=x^2 from x=2 to x=6
For this problem, we need to use our integral knowledge to set up the problem:
The bounds will be from 2 to 6, cutting tiny horizontal bars into the graph, to approximate the area
Now for the function inside the integral:
⇒ it is the top function minus the bottom function
top function: y= x²bottom function: x-axis ⇒ y =0⇒ function within integral = x² - 0
Let's put it all together and solve:
[tex]Area=\int\limits^6_2 {x^2-0} \, dx =\int\limits^6_2 {x^2} \, dx=\frac{6^3}{3} -\frac{2^3}{3} \\Area=\frac{6^3-2^3}{3} =\frac{216-8}{3} =\frac{208}{3}[/tex]
Answer: 208/3 ≈ 69.333
Hope that helps!
Mr. Hussein is wrapping present. She has 2 yards of ribbon to use for 4 presents. How many yards or ribbon can she use for each present? Show with numbers, words, and a picture or diagram CAN SOMEONE HELP ME
Answer: you can use .5 yards of ribbon
Step-by-step explanation: this equals 18inches or 1.5 feet hope this helps
Need help don't understand
Answer:
she should get ready by 11:10
Step-by-step explanation:
Add All the time up 75(1 hour 15min=60+75)+40+25+30=170minutes
170minutes/60= 2 hour 50minutes
subtract 2 hour 50minutes from 2:00
= 11:10
four subtracted from twice a number is two. what is the number
Answer: 3
Step-by-step explanation:
First, we will write a mathematical equation for the phrase given.
-> Let n be "a number"
four subtracted from twice a number is two
four subtracted from twice a number = 2
(twice a number) - 4 = 2
2n - 4 = 2
Now, we will solve this equation by isolating the variable.
2n - 4 = 2
2n = 6
n = 3
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Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
What are quotients?Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
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A population of paramecia, P, can be modeled using the exponential
function P(t) 3(2), where t is the number of days since the
population was first observed. Which domain is most appropriate
=
to use to determine the population over the course of the first two
weeks?
The appropriate domain of the population function is 0 ≤ t ≤ 14
How to determine the domain?The function is given as:
P(t) = 3(2)^t
From the question, we understand that the maximum time is 2 weeks.
2 weeks in days is 14 days
This means that the function is valid for 14 days i.e. t = 0 to 14
Hence, the appropriate domain of the population function is 0 ≤ t ≤ 14
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Can someone help me with this problem?
The length of the rope Kurt started with is 13 1/3 inches
Calculating lengthsFrom the question, we are to determine the total length of the rope
From the given information,
The first piece was 4 4/5 inches long
and
The second piece was 8 1/2 inches long
Then,
The length of the rope Kurt started with will be
4 4/5 + 8 1/2
[tex]4\frac{4}{5} + 8\frac{1}{2}[/tex]
First, convert the fractions into improper fractions
[tex]\frac{24}{5} + \frac{17}{2}[/tex]
The Lowest common multiple (LCM) of the denominators is 10.
Then, we get
[tex]\frac{(2\times 24) + (5 \times 17)}{10}[/tex]
= [tex]\frac{48 + 85}{10}[/tex]
= [tex]\frac{133}{10}[/tex]
= [tex]13 \frac{1}{3}[/tex]
Hence, the length of the rope Kurt started with is 13 1/3 inches.
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What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
252 in. 3
568 in. 3
1,272 in. 3
3,024 in. 3
Answer:
252 in^3
Step-by-step explanation:
give brainliest, please!
hope this helps :)
to figure out the volume we have to multiply the base, and height together.
the base is 18 and the height is 14.
18 times 14 = 252
252 in^3
Answer:
3,024 in. 3
Step-by-step explanation:
1 foot = 12 inches
18x12x14= 3024
I just did this assignment
Area of a rectangular playground in residential society is 2 2/5 km square and one of its sides is 1 2/5 km/ find the length of the other side
Step-by-step explanation:
area of a rectangle is
length × width
so, in our case
2 2/5 km² = 1 2/5 × width (or length, it does not matter)
12/5 km² = 7/5 × width
width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km
Twice the price of a book is $12 less than the price of 4 books. find the price of three books.
Answer:
$18
Step-by-step explanation:
One book=$6
Two books=$12
6(price of one book)x4(four books)=24
So then it says find it for three books
So then you do $6x3 books which is $18 :)
4. What is the measurement of 2 and 11?
Answer:
look at the photo
...................................
Which point is graphed at (2, 1)?
Point B
Point C
Point A
Point
Answer:
Point A
Step-by-step explanation:
Please Mark me as brainliest
Answer: point A
Step-by-step explanation:
You move two to the right and up one because the two is the x-coordinate so on the x-axis you start from (0,0) and move to the right since it’s positive. If it was negative it would be to the left. Same as when dealing with y. The y coordinate is one so you move up on the y-axis(always start from the origin which is (0,0)). If it was negative you move down. Rise/run in this case 1/2.
Which graph represents a linear function?
Can give brainliest!!
The whooping crane is Canada’s tallest bird. When the angle of elevation of the sun
decreases from 30° to 25°, the length of a whooping crane’s shadow increases by 62 cm.
How tall is the whooping crane?
The crane is 139.8cm tall.
what is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
Using Trigonometry
tan 30 = h/y
1/√3 = h/y
y= h√3
and, tan 25= h/y+62
0.96= h/(h√3 +62)
h= 0..96 (h√3 +62)
h= 0.96*h*1.732+0.96*62
h=0.796h +28.52
0.2404h= 28.52
h= 139.8 cm
Hence, whooping crane is 139.8 cm.
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For what power of q is its value 1?
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
__
x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.
_____
Additional comment
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
Please I need help I'm in grade 5 and I don't understand this so make me understand in a easy way.
9. If A = x - y + z, B = 2x - 3y +4z and C = 4x - 5y - 6z, find
(I) A + B + C
(II) A - B + C
(III) A + B - C
Answers:
A+B+C = 7x - 9y - zA-B+C = 3x - 3y - 9zA+B-C = -x + y + 11z======================================================
Explanation:
Skip to the "Work Shown" section below to see the steps for each part.
Each variable is a place holder for some unknown number. We can think of it like a box that holds a number. Luckily the letter x is found in the word "box" to help cement this line of thinking.
1x = 1 box
2x = 2 boxes
3x = 3 boxes
and so on
This shorthand notation allows us to quickly add boxes
2 boxes + 3 boxes = 5 boxes
So 2x+3x = 5x
And we can subtract boxes as well
7 boxes - 3 boxes = 7x - 3x = 4x = 4 boxes
The same number must go in box x for this to work out.
When it comes to dealing with negative numbers, it might help to use a vertical number line. I like to think of it like going up and down an elevator on a skyscraper. Negative integers represent basement levels.
It's possible to have boxes within boxes. The box A has the three boxes x-y+z inside it. So wherever we see an "A", replace it with x-y+z. Unfortunately we don't know what numbers go in the boxes for x, -y and z. Use the same type of thinking for B and C.
Don't forget to use the distributive property to distribute the negative through to each term.
Example: (x+y)-(w+z) = x+y-w-z
Many students make the mistake in saying that (x+y)-(w+z) = x+y-w+z which is not true. The +z should be -z at the very end.
Let me know if you have any other questions.
The next section below shows the steps needed to get the three answers.
----------------
Work Shown:
Part (I)
A+B+C = (x-y+z)+(2x-3y+4z)+(4x-5y-6z)
A+B+C = (x+2x+4x)+(-y-3y-5y)+(z+4z-6z)
A+B+C = 7x - 9y - z
Part (II)
A-B+C = (x-y+z)-(2x-3y+4z)+(4x-5y-6z)
A-B+C = x-y+z-2x+3y-4z+4x-5y-6z
A-B+C = (x-2x+4x)+(-y+3y-5y)+(z-4z-6z)
A-B+C = 3x - 3y - 9z
Part (III)
A+B-C = (x-y+z)+(2x-3y+4z)-(4x-5y-6z)
A+B-C = x-y+z+2x-3y+4z-4x+5y+6z
A+B-C = (x+2x-4x)+(-y-3y+5y)+(z+4z+6z)
A+B-C = -x + y + 11z
Solve for y 4/7t+2:7=6
Answer:
1/7
Step-by-step explanation:
help me with my math please
(2 -1/2 * 7 1/3)^6
Answer:
21 316/729
Key rules to solve:
[tex]\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex][tex]\frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]Convert mixed numbers to improper fractionsStep-by-step explanation:
[tex]\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6[/tex]
[tex]=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6[/tex]
[tex]=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]
[tex]=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]
[tex]=\frac{1}{\frac{7256313856}{729}}[/tex]
[tex]\rightarrow 21 \frac{316}{729}[/tex]
can you help me please
there you go hope it helps :)
Which is a coefficient in the expression below?
(r – 2) + s(10 – t)
Answer:
-2
Step-by-step explanation:
coefficient is the number without a letter next to it
A stock is changing value by -$0.12 each minute. The stock’s value will have changed by -$1.68 after
minutes.
Answer:
14 Minutes
Step-by-step explanation:
1.68 divided by 0.12 is 14 or Multiply 0.12 by 14 and you get 1.68.
The statistical technique used to make predictions of future outcomes based on present data is ______ Group of answer choices correlational analysis repeated measures linear regression analysis of variance
The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.
What is a Linear Regression?Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.
Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression
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Which of the following best describes the slope of the line below?
Answer:
Zero
Step-by-step explanation:
the line is not going up or down therefore there is no slope