Answers
Using translation concepts, the graph of g(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:
g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.
Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.
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Answer: 15
Step-by-step explanation:
its 15 because 1+1 is 2 which is equal to 2 and u h... plus 10 is 12. 12+3 is 15. the answer is 15 because I like that number and iI'm typing random stuff right now, wondering if you'll log in to brai.nly again one day and just see this du mb message. anyway hi kin !
feb 23, 2023 :)
Related Questions
Angle A is complementary to Angle B, Angle B is supplementary to Angle C, and the ratio of Angle A to Angle C is 11:26. Find the measurements of Angle B.
Answers
Since the complementary angles have a sum of 90 degrees
Since
\(A+B=90^{\circ}\rightarrow(1)\)Since the supplementary angles have a sum of 180 degrees
Since
\(B+C=180^{\circ}\rightarrow(2)\)Subtract (1) from (2) to eliminate B
\(\begin{gathered} (B-B)+(C-A)=(180-90) \\ C-A=90\rightarrow(3) \end{gathered}\)Since the ratio between A and C is 11: 26
Then the difference in ratio between C and A is
\(\begin{gathered} C-A=26x-11x \\ C-A=15x\rightarrow(4) \end{gathered}\)Equate (3) and (4) to find x
\(15x=90\)Divide both sides by 15
\(\begin{gathered} \frac{15x}{15}=\frac{90}{15} \\ x=6 \end{gathered}\)Substitute x in the ratio of A and C to find them
\(\begin{gathered} A=11x \\ A=11\times6 \\ A=66^{\circ} \end{gathered}\)Substitute it in equation (1) to find B
\(66+B=90\)Subtract 66 from both sides
\(\begin{gathered} 66-66+B=90-66 \\ B=24^{\circ} \end{gathered}\)Angle B is 24 degrees
On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answers
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
\(S.E = \frac{S.D}{\sqrt{n} }\)
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
\(S.E = \frac{S.D}{\sqrt{n} }\)
\(S.E = \frac{1.63}{\sqrt{49} } = 0.2328\)
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, the room along with some small tables. When filled the large table seats 15 people and the small tables each seat 5 people.Which of the following graph represents the number of small tables that can be filled when the large table is also filled?
Answers
A building code allows a maximum of 140 people in a meeting room, so:
\(15x+5y\le140\)\(\begin{gathered} \text{ There is one large table, so:} \\ x=1 \\ 15+5y\le140 \\ \text{Solve for y:} \\ 5y\le140-15 \\ 5y\le125 \\ y\le\frac{125}{5} \\ y\le25 \end{gathered}\)dani uses cotton balls to make snow men for an art project. dani has 14 cotton balls, and she uses 3 cotton balls to make each snow man.dani makes as many as she can.how many snowmen does dani make
Answers
Using the appropriate arithmetic operation, the number of snowmen Danny makes is 4
Total number of cotton balls = 14
Number of cotton balls per snowmen = 3
Creating a proportional relationship thus :
3 cotton = 1 snowman
14 cotton balls = x
Cross multiply
3x = 14
Divide both sides by 3
3x/3 = 14/3
x = 4.667
Hence, the number of snowmen that can be made is 4
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Answer:
4
Step-by-step explanation:
Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST
Answers
=========================================
Work Shown:
d = number of days of his vacation
1 day = 1*2 = 2 outfits
2 days = 2*2 = 4 outfits
3 days = 3*2 = 6 outfits
4 days = 4*2 = 8 outfits
5 days = 5*2 = 10 outfits
and so on.
In general we can say,
d days = d*2 = 2d outfits
d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.
The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.
The expression for the total number of outfits is 2d
The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.
In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.
For example, if Tyler's vacation is 7 days long, the expression 2d would yield:
2 * 7 = 14
Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.
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samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?
Answers
Answer:
Final mixture is 120 gm
x = 10% then (120-x) = 25%
.25(120-x) + .1 (x) = .15 (120) solve for x= 10% amount
then 25% amount = 120-x
Step-by-step explanation:
52-35 divided by 7-7x2
Answers
Answer:
-2.42857142857
Step-by-step explanation:
\((52-35) / (7-7*2)\)
\((17)/(7-7*2)\)
\(17/-7\)
-2.42857142857
I need help asap! Pleasee I need help
Answers
Answer:
Its B
Step-by-step explanation: i know this because i just took that test yesterday and got it right
Please explain how to solve this
Answers
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
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How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
Answers
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answers
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).
Answers
Answer:
The answer is
\(6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are D(2, 0) and E(8, 6
The distance between them is
\( |DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813\)
We have the final answer as
\(6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units\)
Hope this helps you
10. Two cards are drawn from a deck with replacement. What is the probability of drawing
a spade and then drawing an ace?
Answers
Answer:
The question is with replacement, so the probability of drawing an ace would be 4/52 and the probability of drawing a spade would be 13/52. What am I missing? You found the probability that the first card is an ace and the second card is a spade, but there are other ways to draw an ace and a spade.
Step-by-step explanation:
Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.
Answers
Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step explanation:
We are given:
Y is inversely proportional to x, when Y = 7, x = 4.
We need to tell if the statement is True or False: the constant of proportionality, k, is 20.
Y is inversely proportional to x
We can write it as: \(y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}\)
Now, we need to check when Y=7, x = 4 is true or false
We are given k = 20
Now, I can find value of y, by putting values of k and x in the equation:
\(y=\frac{k}{x}\\y=\frac{20}{4}\\y=5\)
When we put x = 4, and k =20, we get Y=5 and not Y=7
So, The given statement Y = 7, x = 4 is False.
Round 57.5958961796 to the nearest hundredth
Answers
Answer:
57.60
.59 can round to 60 which makes your answer
help plz ill give extra points
Answers
Answer:15
Step-by-step explanation:
Answer:
The answer is B) 75
Step-by-step explanation:
The angle shown is a 90-degree angle. Therefore if the other angle is 15 degrees, that means that all we have to do is subtract 15 from 90.
90-15= 75 which means the angle known as x is a 75-degree angle.
Hope this helped!! Please give brainliest if it helped!
a small library has 4 times as many story books as puzzle books. if it has 32 puzzle books, how many story books does it have?
Answers
The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?
Answers
About 88.49% of cellphone plans have charges that are less than $83.60.
How to determine the percentage of plans have charges that are less than $83.60?To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.
z = (x – μ) / σ
where x = 83.60, mean, μ = 62 and standard deviation, σ = 18
Thus, the z-score of $83.60 is:
z = (83.60 - 62) / 18 = 1.2
Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).
Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.
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eight more than three times a number is equal to the sum of the number and 10. find the number
Answers
Answer:
8+3x=x+10
2x=2
x=1
The number is 1
Pls help with this problem. This is due today!
Answers
Answer:
2.8 > 2.8< i think
Step-by-step explanation:
Someone please help and thank you formula is A= 1/2 (b) (h)
Answers
Answer:
1734
base is 68
height 51
Step-by-step explanation:
write down simplest ratio of 125ml and 5ml
Answers
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
Si la probabilidad de resolver un problema
cualquiera es p, entonces la probabilidad de
resolver un problema de n problemas
propuestos, es:
Answers
Utilizando la distribución binomial, la probabilidad de resolver un problema de n problemas propuestos, es p^n.
¿Cuál es la fórmula de distribución binomial?La fórmula es:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Los parámetros son:
x es el número de éxitos.n es el número de intentos.p es la probabilidad de éxito en un solo intento.La probabilidad de que todos los problemas sean resolvidos es dada por P(X = n), asi:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = n) = C_{n,n}.p^{n}.(1-p)^{n-n}\)
P(X = n) = p^n
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Sammy's home has a value of $180,000. If the property tax rate where he lives is 1.245% how much does he pay in property taxes? Enter your answer rounded to the nearest dollar, such as: $3253.
Answers
Answer:
2241
180,000 x .01245= 2241
What is 5/8 divided by 1/4?
Answers
Answer:
5/2
Step-by-step explanation:
In which type of circuit is the total current equal to the sum of all the branch currents?
Answers
Answer:
Parallel circuit
Hope this one helps :)
The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle. (b) Approximate the percent error in computing the area of the triangle. Step 1 of 3 A Consider that the measurement base and the altitude of a triangle of a triangle is 36 and 50 centimeters, respectively. Also, the possible error in each measurement is 0.25 centimeter. Comment Step 2 of 3 A (a) Objective is to approximate the propagated error in computing the area of the triangle with the help of differential. For this note that the formulae for the area of triangle is: A= (bn) Here, b is the base of triangle and h is the height of triangle. Thus, b= 36, h = 50 And, db = dh = +0.25 To approximate the propagated error differentiate the area and get dA, dA= 2 1 = 56(dh) +=n(db) - }(50)x(+0.25)+} (36)*(+0.25) = +10.75 Thus area has propagate error of about 10.75 cm? Comment Step 3 of 3 A (b) The percent error can be calculated as follows: +b(dh) +hdb -x100 dA x 100 = 2 A 1 bh 2 21.50 -x100 1800 = 1.194 Hence, the required percent error is 1.194%
Answers
The error in computing the area of triangle is 10.75 and the percentage error in computing the area of triangle is 1.194%.
Given that, base of the triangle is 36 cm (a)
Altitude of the triangle is 50 cm (b)
Error in each measurement is 0.25 cm
We know that, area of the triangle (s) = 1/2 * base * altitude
Let us consider base as ' a ' and altitude as ' b '
So, the maximum error of ' s ' can be calculated as
⇒ ds/da * da + ds/db * db
⇒ 1/2* b * da + 1/2 *a * db
⇒ 1/2* 36 * 0.25 + 1/2* 50* 0.25
⇒ 4.5 + 6.25 = 10.75
Now, let us calculate the percentage error in computing the area of the triangle.
dA/A * 100 = [(1/2* b* da + 1/2* a * db)/ 1/2* b *h] * 100
⇒ [(1/2* 36 * 0.25 + 1/2* 50 * 0.25)/ 1/2* 36 * 50] * 100
⇒ [ 21.5/ 1800 ] * 100
⇒ 1.194%
Thus, the error in computing the area of the triangle is 10.75 and the percentage error in computing the area of the triangle is 1.194%.
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Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
Answers
2,673 minus 281 is 2,392.
2,392 divided by 2 is 1,196.
1,196 plus 281 is 1,477.
Answer: Ricky hit 1,196 and Pedro hit 1,477.
A like passes the rough the point (-8,-9) and has a slope of 5/4. Write an equation in slope- intercept form for this line
Answers
Answer:
y=5/4x+1
Step-by-step explanation:
slope intercept form is y=mx+b
M- slope
B- y intercept
We already know slope
y=5/4x+b
To find b we fill in the coordinates we know (-8,-9)
-9=5/4(-8)+b
-9=-40/4+b
-9=-10+b
+10 +10
1=b
Now. We fill it in
y=5/4x+1
Hopes this helps please mark brainliest
If the time is between 8:00 a.m. and 3:00 p.m., then the bank is open.
If the bank is open, then people may make withdrawals or deposits.
Therefore, if …
Answers
Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.
This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.