Steps to solve:
f(x) = (x + 1)^2; x = 2
~Substitute
f(2) = (2 + 1)^2
~Add.
f(2) = (3)^2
~Multiply the exponent
f(2) = 9
Best of Luck!
How do you create zero pairs using algebra tiles?
Add a positive unit tile to a negative unit tile.
Add a positive unit tile to a positive unit tile.
Add a negative x-tile to a negative x-tile.
Add a negative x-tile to a positive unit tile.
Answer:
A) Add a positive unit tile to a negative unit tile.
Step-by-step explanation:
Add a positive unit tile to a negative unit tile.
1 + (-1)
1 - 1
0
A silo in the shape of a cylinder is partially filled with corn to cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12ft in diameter and 60ft high?
The volume of the part of silo filled with corn is 3391.2 cubic foot.
Step-by-step explanation:
Diameter of the silo = 12ft.
Radius = 6 ft.
Height = 60ft.
Volume = π(r x r) h
= (3.14) (36) 60
= 6782.4 cubic foot
The corn is 50% filled. So,
Volume of corn filled = (50/100) (6782.4)
= 3391.2 cubic foot
The volume of the part of silo filled with corn is 3391.2 cubic foot.
Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .
Answer:
a=5.81
Step-by-step explanation:
We want to solve for the value of a in the expression:
[TeX]\frac{sin 45}{a}=\frac{sin 77}{8}[/TeX]
Cross Multiply
8 X sin 45=a X sin 77
Divide both sides by sin 77° to obtain a.
[TeX]a=\frac{8 X sin 45}{sin 77}[/TeX]
a=5.81
Error Analysis A gardener plans to extend the length of a rectangular garden by 7 feet. Let x represent the garden's original length. The expression 6 left parenthesis x plus 7 right parentheses represent the area of the garden, where 6 is the width, in feet, and left parenthesis x plus 7 right parentheses represent the extended length, in feet, of the garden. When asked for the area of the extended portion, the gardener incorrectly said it was 13 square feet. Expand the expression to find the area of the extension. Then describe an error the gardener might have made.
The gardener's expression correctly calculates the area of the entire garden after extension, not just the extension itself. The error was in misinterpreting the question and focusing solely on the extension, leading to the incorrect answer of 13 square feet.
Explanation:Expanding the expression: 6(x + 7) = 6x + 42. This represents the total area of the garden after extending its length by 7 feet.
Error analysis: The gardener likely assumed they needed to calculate the area added by the extension. This could be due to:
Misunderstanding the question and focusing on the 7-foot extension instead of the total area change.
Mistakenly interpreting "area of the extension" as the area of the rectangle formed only by the additional 7-foot length and the original width.
Therefore, while the expression itself is correct, the gardener misinterpreted the question and made an error in interpreting what "area of the extension" referred to.
The first-, and second-year enrollment values for a technical school are shown in the table below:
Enrollment at a Technical School
Year (x)
First Year f(x)
Second Year t(x)
2009
756
756
2010
785
740
2011
710
781
2012
732
710
2013
755
800
Which of the following statements is true based on the data in the table?
The solution to s(x) = t(x) is x = 781.
The solution to s(x) = t(x) is x = 2011.
The solution to s(x) = t(x) is x = 756.
The solution to s(x) = t(x) is x = 2009.
Answer:
D. The solution to s(x) = t(x) is x = 2009.
Step-by-step explanation:
I took the test and got it right!
Have a great day fam :)
(D) The solution to [tex]s(x)=t(x)[/tex] is [tex]x=2009[/tex].
Enrollment:Enrollment can mean:
The process of beginning school attendance is called matriculation.The process of adding something to a roll or scroll.The entire student body is duly registered and/or present in a school.Concurrent enrollment refers to the practice of high school students enrolling in a university or college, typically to get college credit.The involvement of humans in a clinical experiment.Adding a user's credentials to the authentication system through biometrics.The procedure for getting added to a voter list.Being a member of an American Indian tribe that has federal recognition.A trilobite's protective curling over its tender ventral organs.Solution -Enrollment values of [tex]2009[/tex] are [tex]756[/tex] and [tex]756[/tex].
Since [tex]756=756[/tex].
Therefore, the correct option is (D) the solution to [tex]s(x)=t(x)[/tex] is [tex]x=2009[/tex].
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The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=78.1 and σ=10.8.
NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.)
(a) Write the event ''a score less than 67.1'' in terms of X:
.
(b) Find the probability of this event:
(c) Find the probability that a randomly chosen score is greater than 89.1:
.
(d) Find the probability that a randomly chosen score is between 67.1 and 89.1:
a) [tex]X<67.1[/tex]
b) 0.1539
c) 0.1539
d) 0.6922
Step-by-step explanation:
a)
In this problem, the score on the exam is normally distributed with the following parameters:
[tex]\mu=78.1[/tex] (mean)
[tex]\sigma = 10.8[/tex] (standard deviation)
We call X the name of the variable (the score obtained in the exam).
Therefore, the event "a student obtains a score less than 67.1) means that the variable X has a value less than 67.1. Mathematically, this means that we are asking for:
[tex]X<67.1[/tex]
And the probability for this to occur can be written as:
[tex]p(X<67.1)[/tex]
b)
To find the probability of X to be less than 67.1, we have to calculate the area under the standardized normal distribution (so, with mean 0 and standard deviation 1) between [tex]z=-\infty[/tex] and [tex]z=Z[/tex], where Z is the z-score corresponding to X = 67.1 on the s tandardized normal distribution.
The z-score corresponding to 67.1 is:
[tex]Z=\frac{67.1-\mu}{\sigma}=\frac{67.1-78.1}{10.8}=-1.02[/tex]
Therefore, the probability that X < 67.1 is equal to the probability that z < -1.02 on the standardized normal distribution:
[tex]p(X<67.1)=p(z<-1.02)[/tex]
And by looking at the z-score tables, we find that this probability is:
[tex]p(z<-1.02)=0.1539[/tex]
And so,
[tex]p(X<67.1)=0.1539[/tex]
c)
Here we want to find the probability that a randomly chosen score is greater than 89.1, so
[tex]p(X>89.1)[/tex]
First of all, we have to calculate the z-score corresponding to this value of X, which is:
[tex]Z=\frac{89.1-\mu}{\sigma}=\frac{89.1-78.1}{10.8}=1.02[/tex]
Then we notice that the z-score tables give only the area on the left of the values on the left of the mean (0), so we have to use the following symmetry property:
[tex]p(z>1.02) =p(z<-1.02)[/tex]
Because the normal distribution is symmetric.
But from part b) we know that
[tex]p(z<-1.02)=0.1539[/tex]
Therefore:
[tex]p(X>89.1)=p(z>1.02)=0.1539[/tex]
d)
Here we want to find the probability that the randomly chosen score is between 67.1 and 89.1, which can be written as
[tex]p(67.1<X<89.1)[/tex]
Or also as
[tex]p(67.1<X<89.1)=1-p(X<67.1)-p(X>89.1)[/tex]
Since the overall probability under the whole distribution must be 1.
From part b) and c) we know that:
[tex]p(X<67.1)=0.1539[/tex]
[tex]p(X>89.1)=0.1539[/tex]
Therefore, here we find immediately than:
[tex]p(67.1<X<89.1)=1-0.1539-0.1539=0.6922[/tex]
I need help in solving this problem ASAP!
Answer:
? = 24, AB = 8.66 (square root of 75, 5 times the square root of 3)
Step-by-step explanation:
Since the whole length equals 27, we can subtract 3 to get 24. The proportion is a setup for geometric mean. This means cross-multiplying. X x X = X^2, 3 x 24 = 72. Square root both sides to get X by itself. [tex]3\sqrt{8} \\[/tex]. Use Pythagoreans to solve the rest. You are left with the square root of 75, or 5 times the square root of 3.
You are riding in a taxi that charges a $10 flat fee, plus an additional $2 per
mile
Let C be the total cost of the ride and M be miles. Write an expression
relating C to M.
Answer:
C= 2M + 10
Step-by-step explanation:
In this equation, we will calculate the total cost. So, we'll start off with "C =" Then, we know tat the charge is $2 per mile so we'll add it and make C = 2M. Then, it states that the flat fee is 10 dollars which makes the equation
C = 2M +10.
Answer:
C = 2M + 10
Step-by-step explanation:
To write this equation, we will use slope-intercept form: y = mx+b
In this problem, C is y and M is x, so: C = mM + b
m is the slope, or the rate of change, and b is the y-intercept.
The y-intercept in this problem is the $10 flat fee.
The rate of change is the additional $2 per mile.
Let's input these values into our equation:
C = 2M + 10
Seven percent of people receiving your email opened it. Two percent of people receiving your email clicked a link. Of those who opened the email, what percent clicked a link?
A.29%
B.30%
C.32%
D.33%
Answer:
answer A
Step-by-step explanation:
The question is about conditional probability. Assuming that the 2% who clicked the link are among the 7% who opened the email, around 29% of the people who opened the email clicked a link. Hence, option A is the correct answer.
Explanation:This question deals with the concept of conditional probability in mathematics, specifically percentages. Assuming that the 2% who clicked the link are among the 7% who opened the email, we want to find out what percent of the 7% clicked the link.
We calculate it like this:
First, remember that 2% of people clicked a link. That's our numerator.Then, remember that 7% of people opened the email. That's our denominator.Divide the numerator by the denominator to get the answer: 2 ÷ 7 = 0.2857 (rounded to four decimal places).So, around 29% (rounding up) of the people who opened the email clicked a link, which makes option A the correct answer.
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tom bought a pack of pencils for $1.99 and 3 notebooks. He spent $6. How much did each notebook cost?
Answer:
Approximately $1.34 for each notebook.
Step-by-step explanation:
6-1.99=4.01
4.01/3=1.3366...
Answer: $1.34 per notebook
Somebody please help me with this!!
Answer:
√62 is between integers 7 and 8
Step-by-step explanation:
writing out the integers as square roots,
√1, √4. √9, √16, √25, √36, √49, √64
62 is between 49 and 64, so we know √62 is between √49 and √64
√49 = 7
√64 = 8
√62 is between integers 7 and 8
Which sentence uses a present participle form of a verb?
A)
Reading every day is a great habit to get into.
B)
The neighborhood pond is teeming with large fish.
C)
The manager is interested in hearing your comments.
D)
Would you like to walk home or do you prefer taking the bus?
Final answer:
Option C is correct as it uses the present participle 'hearing' in a participial phrase, which acts as an adjective.
Explanation:
The present participle form of a verb can be identified by its -ing ending and is often used as part of the present progressive tense or as a participial phrase acting as an adjective. Looking at the provided options, sentence A) Reading every day is a great habit to get into uses the present participle reading as a gerund, acting as the subject of the sentence. Sentence C) The manager is interested in hearing your comments uses the present participle hearing in a participial phrase, functioning as an adjective to describe the comments. Therefore, the correct answer is C as it contains a present participle functioning as part of a participial phrase.
ratio question
I will mark brainliest
2 m - polyester fabric: 4, cotton fabric: 14
6 m - polyester fabric: 12, cotton fabric: 42
8 m - polyester fabric: 16, cotton fabric: 56
9 m - polyester fabric: 18, cotton fabric: 63
check:
2 m: 4/14=2/7
6 m: 12/42=2/7
8 m: 16/56=2/7
9 m: 18/63 = 2/7
3. Shih Huangdi’s Great Wall was 10,000 li long. If two li equal approximately 0.6 miles, how many miles was Shih Huangdi's Great Wall of China?
a. 3,000
b. 6,000
c. 10,000
d. 4,000
Final answer:
The Great Wall of China was approximately 3,000 miles long.
Explanation:
The Great Wall of China was 10,000 li long. In this case, li is a unit of measure. We are told that 2 li is approximately equal to 0.6 miles. To find how many miles the Great Wall is, we can set up a proportion:
2 li = 0.6 miles
10,000 li = x miles
To solve for x, we can cross multiply and divide:
10,000 li * 0.6 miles = 2 li * x miles
6,000 miles = 2x
x = 6,000 / 2
x = 3,000 miles
Therefore, Shih Huangdi's Great Wall of China was approximately 3,000 miles long.
How do you title someone as a Brainliest on this app?
Answer:
Find the answer that is provided to you. On the bottom of the comment, there is an option in gold text that allows you to pick brainliest. You can try it on this comment.
Answer:
After you thank them or rate them (I'm honestly not sure which, but why not do both if you're going to do one anyways), a yellow button will appear (I think next to the 5 stars) that says 'mark as Brainliest'. If you click that button, the answerer will get a notification saying that you marked them as Brainliest.
P.S.: Only the person who asked the question can mark an answer as Brainliest, and only one person can be marked as Brainliest.
Damon buys lumber worth $562. He gets a 20% contractor’s discount. The sales
tax is 6%. His credit card gives him 2% off. How much does he pay?
What value of y makes this equation true?
-12 = 6 + 2/3y
-12 = 6 + 2/3y
Subtract 6 from both sides
-18 = 2/3y
Multiply both sides by 3
-54 = 2y
Divide both sides by 2
-27 = y
Answer:
i will tell the answer call 6823082898
Step-by-step explanation:
The quantities xxx and yyy are proportional.
xxx yyy
888 1.61.61, point, 6
151515 333
222222 4.44.44, point, 4
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
r=0.2
Step-by-step explanation:
Given the quantities x and y
[tex]\left|\begin{array}{c|c}x&y\\---&---\\8&1.6\\15&3\\2&4.4\end{array}\right|[/tex]
When x=8, y=1.6
On Substitution into y=rx
1.6=8r
r=1.6/8=0.2
When x=15, y=3
On Substitution into y=rx
3=15r
r=3/15=0.2
When x=2, y=0.4
On Substitution into y=rx
0.4=2r
r=0.4/2=0.2
Therefore, the constant of proportionality, r=0.2
NOTE: One set of values is enough to determine this. Others are done for verification.
Answer:
R = 1/2
Step-by-step explanation:
The unit used to measure an angle is called a ___________
A. clockwise
B.counterclockwise
C. degree
D. protractor
Answer:
it is C
Step-by-step explanation:
A degree
Answer:
degree
Step-by-step explanation:
degree
2 more than triple a number is 10.
2 more than triple the number can be expressed as 3x + 2. We want this expression to equal 10, so we can set up the equation as 3x + 2 = 10.
To solve the equation, '2 more than triple a number is 10', we can first translate the sentence into an equation.
Let's assume the number is represented by x.
Triple the number would be 3x. And 2 more than triple the number can be expressed as 3x + 2.
We want this expression to equal 10, so we can set up the equation as follows:
3x + 2 = 10
Now, we can solve for x by isolating it on one side of the equation.
Subtracting 2 from both sides, we get:
3x = 8
Finally, divide both sides by 3 to solve for x:
x = 8/3
The probable question may be:
Formulate a complete mathematical question based on the statement: "2 more than triple a number is 10."
What’s the definition of dependent events?
Answer:
An event that is affected by previous events.
Step-by-step explanation:
I'm not sure but I think that's it.
Answer:
Dependent events depends on earlier events to decide if it is used or not.
An example of a dependent event can be the choice of ice cream. Before the person is asked what ice cream they want, they may have been asked what dessert they want. The event of "asking for a choice of ice cream", is dependent on the person stating that they wanted ice cream in the beginning. If they said anything else, they would not get to that question.
~
Tina wants to install a hot tub in her backyard. The backyard is 15 ft by 40 ft,
and the hot tub will be 7 ft by 7 ft. What is the area of the backyard that will
not be covered by the hot tub?
HELPP
Answer:
460 ft
Step-by-step explanation:
Please HELP OR IM GOING TO FAILLL
VERY EASY!!! Find the domain of the graphed function.
Answer:
The answer is c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
If the zeros are 1 and -4, what are the factors?
Answer:
(x - 1) and (x + 4)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a, x = b then the factors are
(x - a), (x - b) and the polynomial is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = 1 and x = - 4, thus the factors are
(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)
Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?
a. tan theta = -tan theta
b. tan theta = tan (90 degrees - theta)
c. tan theta = -tan (180 degrees - theta)
d. none of the above
Answer:
c
Step-by-step explanation:
See the graph for an example using the specific angles [tex]\theta=60^\circ , \,\, \180^\circ-\theta=120^\circ[/tex]
See how the red segments are equal in length but going in opposite directions?
[tex]\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}[/tex]
a. This can't be correct: it says [tex]\tan{\theta}[/tex] is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.
b. Not true in Quad. I. Consider [tex]\tan{60^\circ}, \,\, \tan{30^\circ}[/tex].
34
56
100
What is the value of a ?
Answer:
a=68 degrees
Step-by-step explanation:
using the inscribed angle theorem, you know that arc a=2*34=68 degrees.
The measure of the value of a is 64 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
We have to find the value of a
The measure of arc opposite to the central angle is twice
1/2a=34 degrees
Apply cross multiplication
a=2×34
=64 degrees
Hence, the measure of the value of a is 64 degrees
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Sameer visited his cousin and had to drive 135 miles north then 90 miles west. At the end of his trip, he pulled out a map to determine how far from home he was. What is the shortest distance from Sameer's house to his cousin's house? Round your answer to the nearest mile.
Group of answer choices
163
162
164
160
Answer:
B.) 162 miles
Step-by-step explanation:
It really helps to draw a model when you are working with these. After having drawn a model, you can see that a right triangle was made, with the distance from Sameer's house to his cousin's being the hypotenuse. So, you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
Solve for c. Fill in values:
[tex]135^2+90^2=c^2[/tex]
Evaluate exponents:
[tex]18,225+8,100=c^2[/tex]
Simplify addition:
[tex]26,355=c^2[/tex]
Find the square of both sides:
[tex]\sqrt{26,355} =\sqrt{c^2}\\\\162.34=c[/tex]
Flip
[tex]c=162.34[/tex]
Round to the nearest mile
[tex]c=162[/tex]
Done.
1) Simplify the expression.
2(-9+9v)
Your Answer is :
-18+18v
Solve the problem below and enter your answer in the space provided.
(2 x 3) x (3 x2) x (2 x 4) = ?
Look at the attached picture ⤴
Hope it will help u...