Answer:5h
Step-by-step explanation: i just did the quiz
What is it mean?
a. 27.19
b. 27.29
c. 28.10
d. 28.11
What is the effect on the graph f(x)= x^2 when it is transformed to h(x)= 2x^2 + 15???Please help! provide answer choice A,B,C or D and simple explanation. Thanksss!
Given
\(f(x)=x^2,\text{ }h(x)=2x^2+15\)To find: What is the effect on the graph f(x)= x^2 when it is transformed to h(x)= 2x^2 + 15?
Explanation:
It is given that,
\(f(x)=x^2,\text{ }h(x)=2x^2+15\)That implies,
\(\begin{gathered} h(x)=2x^2+15 \\ =2f(x)+15 \end{gathered}\)Then, the graph of f(x) is vertically stretched by a factor of 2, and shifted 15 units up.
help need for this queston
Answer:
y=8x+0
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Answer:
i think the awnser is y=8x+0
Step-by-step explanation:
i may not be right
157 29 Marks
Put these fractions in order of size, smallest to largest
7
10
2
3
4
5
11
15
smallest
Complete question :
Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15
Answer:
2/3, 7/10, 11/ 15, 4 /5
Step-by-step explanation:
In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :
7/10 = 0.7
2/3 = 0.667
4 /5 = 0.8
11 /15 = 0.733
Using the placement or how the numbers will appear to the right of a number line ;
0.667, 0.7, 0.733, 0.8
Thus we have :
2/3, 7/10, 11/ 15, 4 /5
The line parallel to y = -3x + 4 that passes through (9,-6)
Answer:
y=−3x+21
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula
The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.
Answer:
length-x
width-x-4
area-- length* width
192=X*(X-4)
x^2-4x-192=0
x^2-16x+12x-192=0
X(x-16)+12(x-16)=0
(x-16),(X+12)
X= 16 because X cannot be negative like (-12)
the dimensions of the classroom will be
length = 16
width = 12
I hope this will help everyone
Which statement about the linear equation 3a + 1 over 3(6a −9) = 1 over 2(10a − 6) is true?
A
The equation has exactly one solution at a = 0.
B
The equation has an infinite number of solutions.
C
The equation has exactly one solution at a = 1.
D
The equation has no solutions.
The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)
What is a linear equation?A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.
On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.
To justify the above answer, we state the linear equation above:
3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have
3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have
5a -3 = 5a -3
Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.
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Ivanna drove 696 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?
Answer:
406
Step-by-step explanation:
We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406
In the diagram below, AD EB, m/ABD = 115° and m/D = 27°.
Find m < ABE
The value of angle ABE is 52°
What are interior angle of a triangle ?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.
The sum of interior angle in a triangle is 180°
Angle EBD = 180-(90+27)
= 180-117
= 63°
angle ABE + EBD = ABD
ABE = ABD - EBD
ABE = 115-63
= 52°
Therefore the value of angle ABE is 52°
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According to the Anxiety and Depression Association of America (ADAA), approximately 8.7% of all adults suffer from a specific phobia, such as high bridges or old elevators. An experiment consists of selecting adults at random and asking them if they suffer from any kind of phobia. What is the probability P that the fifth adult selected will be the first person with a phobia? Round your answer to four decimal places. P(X = 5) = What is the probability P that at least eight adults will be selected before identifying a person with a specific phobia? Round your answer to four decimal places. P(X > 8) = What is the mean number of adults u that must be selected before identifying a person with a specific phobia? Round your answer to one decimal place. = Suppose that the 35th adult is the first person with a specific phobia. What is the probability that such an event (or a more extreme one) would occur? Round you answer to four decimal places. P(X > 35) =
The probability of 35 people being selected before the first person with a phobia is chosen does not provide sufficient evidence to suggest that the ADAA claim is false.
To determine whether the ADAA claim is false, we need to perform a statistical hypothesis test that compares the sample proportion of adults with phobias to the ADAA with an estimation of 8.7%.
This would involve collecting data on a random sample of adults and can be calculated as the sample proportion of adults with phobias, and compared to the ADAA estimate of 8.7%.
If the sample proportion is totally different from 8.7%, we can conclude that there is evidence to suggest that the ADAA claim and false.
However, without performing a statistical hypothesis test, we cannot make a conclusion about the validity of the ADAA claim which is based on the probability of 35 people being selected before the first person with a phobia is chosen.
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The "success" is identifying an adult with a specific phobia, and the probability of success is p = 0.087.
We can show the given situation utilizing a mathematical dissemination, which portrays the quantity of free Bernoulli preliminaries expected to make the principal progress. For this situation, the "achievement" is distinguishing a grown-up with a particular fear, and the likelihood of achievement is p = 0.087.
Likelihood that the fifth grown-up chosen will be the main individual with a fear:
The likelihood that the main individual with a fear is chosen on the fifth preliminary is:
P(X = 5) = (1 - p)^4 * p
= (0.913)^4 * 0.087
= 0.0073 (adjusted to four decimal spots)
Likelihood that no less than eight grown-ups will be chosen prior to distinguishing an individual with a particular fear:
The likelihood that the primary individual with a fear is chosen after at least eight preliminaries is:
P(X > 8) = 1 - P(X ≤ 8)
= 1 - [(1 - p)^7 * p + (1 - p)^6 * p + ... + (1 - p)^1 * p + (1 - p)^0 * p]
= 1 - 0.2663 (determined utilizing a mathematical conveyance table or number cruncher)
= 0.7337 (adjusted to four decimal spots)
Mean number of grown-ups u that should be chosen prior to distinguishing an individual with a particular fear:
The mean (expected) number of preliminaries expected to make the principal progress is:
u = 1/p
= 1/0.087
= 11.49 (adjusted to one decimal spot)
So overall, we want to choose around 11.49 grown-ups prior to tracking down the principal individual with a particular fear.
Likelihood that the 35th grown-up is the main individual with a particular fear:
The likelihood that the primary individual with a fear is chosen on the 35th preliminary or later is:
P(X > 34) = (1 - p)^34
= (0.913)^34
= 0.1398 (adjusted to four decimal spots)
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Nvm I found the answer
55 POINTS QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will match 50% of your friend's contributions.
a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.
b. The total monthly contribution to the fund is $180.
The computation of FV in Excel is shown in the attachment below:
What is meant by growth rate?Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.
GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.
20 years is the age.
20 times 12 periods equals 240.
3% growth rate
The computation of FV in Excel is shown in the attachment below:
So, FV= $7,223,115.77
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John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
You want to replace the tires on your car with tires that have a larger diameter. After you change the tires, for trips at the same speed and over the same distance, how will the angular velocity and number of revolutions change?
The change in the angular velocity and number of revolutions is given as,
when the angular velocity decreases the number of revolutions also decreases.
The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured vectorially by angular velocity.
Angular velocity can be defined as the speed at which an item rotates or revolves around an axis. The Greek letter omega stands for angular velocity. The SI unit of angular velocity is radians per second because it is measured in angle per unit time.
The only distinction between revolution and rotation is that the axis of rotation in a revolution is located outside the body. Both motions of an item or body in space are circular.
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HELP!! pls
Circle O is centered on the origin with a diameter of 14 units. Determine if the point
reasoning
(-3,2/10)
is on the circle. Explain your reasoning
Answer:
Circle centered on origin, (0, 0)
Radius = 7units
To find if the point lies on the circle , check if the distance from the center to the point is 7units.
\(distance = \sqrt{(x_{1} -x_{2})^{2} +(y_{1} -y_{2})^{2} } \\(x_{1} ,y_{1} ) =(0, 0)\\(x_{2}, y_{2}) = (-3, 2\sqrt{10} )\\\\distance = \sqrt{(0--3)^2+(0-2\sqrt{10})^2 } = \sqrt{9+40} = \sqrt{49} = 7units\)
Since the distance between the center and the point is 7units. the point lies on the circle.
Circle O is centered on the origin with a diameter of 14 units. Since the distance between the center and the point is 7units. So, the point lies in the circle.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)
We have been given a Circle centered on the origin, (0, 0)
Radius = 7units
In order to find if the point lies on the circle, check if the distance from the center to the point is 7units.
(x, y) = (0, 0)
(p, q) = (-3,2√10)
\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)
\(D = \sqrt{(0-(-3))^2 + (0-2\sqrt{10} )^2} \: \rm units.\\\\D = \sqrt{9+ 40} \\\\D = \sqrt{49} \\\\D = 7\)
Since the distance between the center and the point is 7units. So, the point lies on the circle.
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I need to know about the fraction for this question
Answer: the fraction is 4over 12
Step-by-step explanation:
first you multiply the top and bottom number then u divide the number by the bottom.
Answer:
1/2
Step-by-step explanation:
If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.
The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.
Another example is 1/10 times -50, that would be -5.
6x8 = nx 16
What is the value of the unknown number?
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation:
If the cost of carpeting a floor is $2.50 per square foot how much will it cost
Answer:
How many feet of the floor are you carpeting that is the real question
Step-by-step explanation:
It depends on how many feet you are putting the carpet on.
answer this pleaseeeee
Answer:
Dilation by a scale factor of k results in:
(x, y) → (kx, ky)Considering this the answers are:
1. Option C2. Option F3. Option J4. Option HConvert 240° from degrees to radians in fraction form
We have that
\(240\frac{\pi\text{ rad}}{180}=\frac{240}{180}\pi\text{ rad = }\frac{4}{3}\pi\text{ rad}\)So the answer is 4/3 pi rad
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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(59-6) x (⅓) ³ + 27 ÷ 3 =
8² ÷ 4 x (2 + 3) -9 =
Answer:
(59-6) × \(\sf{(\frac{1}{3})}^{3}\) + 27 ÷ 3
=53 × \(\sf\frac{{1}^{3}}{{3}^{3}}\) + 3³ ÷ 3
=53 × \(\sf\frac{1}{27}\) + \(\sf{3}^{3-1}\)
=\(\sf\frac{53\times1}{27}\) + \(\sf{3}^{2}\)
=\(\sf\frac{53}{27}\) + 9
=9 + \(\sf\frac{53}{27}\) + 9
=\(\sf\frac{9\times27+53}{27}\)
=\(\sf\frac{243+53}{27}\)
=\(\sf\frac{296}{27}\)
=\(\sf\frac{270}{27}+\frac{26}{27}\)
=\(\sf10+\frac{26}{27}\)
=\(\sf10\frac{26}{27}\)
\(\sf\:\)
8² ÷ 4 × (2 + 3) - 9
=(8×8) ÷ 4 × 5 - 9
=64 ÷ 4 × 5 - 9
=4³ ÷ 4 × 5 - 9
=\(\sf{4}^{3-1}\) × 5 - 9
=4² × 5 - 9
=(4×4) × 5 - 9
=16 × 5 - 9
=80 - 9
=71
-8 (x - 3) = -32
Your answer
The solutions to the equation 2x2+x-1=2
Answer: x = ⅗
-----------------------
Will mark brainliest!! Please do the two in green using cos!!
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
\(cos(32) = \frac{x}{28}\)\(cos(32)(28) = x\)\(23.36 = x\)Number 2:
\(cos(57) = \frac{42}{x}\)\(cos(57)(x) = 42\)\(x= \frac{42}{cos(57)}\)\(x = 46.67\)5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
To find the end behavior
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph