Suppose f(x)=x^2 and g(x) =7x^2 which statement best compares the graph of g(x) with the graph f(x)
Answers
Answer:
The graph g(x) is the graph f(x) vertically stretched by a factor of 7.
Step-by-step explanation:
Quadratic Equation: f(x) = a(bx - h)² + k
Since we are modifying the variable a, we are dealing with vertical stretch (a > 1) or vertical shrink (a < 1). Since a > 1 (7 > 1), we are dealing with a vertical stretch by a factor of 7.
Answer:
The graph g(x) is the graph f(x) vertically stretched by a factor of 7.
Step-by-step explanation:
Quadratic Equation: f(x) = a(bx - h)² + k
Since we are modifying the variable a, we are dealing with vertical stretch (a > 1) or vertical shrink (a < 1). Since a > 1 (7 > 1), we are dealing with a vertical stretch by a factor of 7.
Related Questions
Which expression is equivalent to 0.25(2d + 1) ? please help meh
Answers
Answer:
I think it is 0.50d + 0.25
PLZ CORRECT ME IF I AM WRONG PLEASE AND THANK YOU
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.25 (2d+1)=
0.50d+0.25 <===
HELP ASAP;The tree diagram represents an
experiment consisting of two trials.
Answers
Answer:
P(A) = 0.5
Step-by-step explanation:
Look from the tree root (left) and find A.
When you reach the first branch that shows A, the probability is on it's left, so
P(A) = 0.5
You have 42 peaches and want to share them equally with 6 people. How many peaches will each person get? Please be sure to write your answer in a complete sentence.
Answers
Answer:
7
Step-by-step explanation:
I did the math on a calculator
I need help. Thanks!
Answers
Answer:
The answer is B
Step-by-step explanation:
it is in the middle, and in both triangles
Answer:
A. (A)
Step-by-step explanation:
The answer is A. A is the center of the dilation of the triangle
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 640 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower? At the moment the plane passes over the tower, the distance between the person and plane is changing at a rate of ________ft/s
Answers
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
Answers
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
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Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
Joshua unfolded a cardboard box. The figure of the unfolded box is shown below 3 inches 3 inches Which calculation will give the total surface area of the cardboard in square inches, that make the box?
A. 6 x 3 x 3
B. 3 x 6 x 6
C 9 x 6 x6
D 6 x 9 x o
Answers
Answer:
A
Step-by-step explanation:
6x3x3 equals 54 which is also the total surface area of the rectangle.
Answer:
Answer choice = A. 6 x 3 x 3
Theresa pays $9.56 for 4 pounds of tomatoes. What is the cost of 1 pound of tomatoes?
Answers
Answer:
$2.39
Step-by-step explanation:
to find the cost of 1 pound , divide the cost of 4 pounds by 4
$9.56 ÷ 4 = $2.39
For a taxi driver, which measures must be accurate? Check all that apply.
A. Price per mile
B. Distance traveled by customer
C. Price if gasoline per gallon
D. Number of customers per day
Answers
Answer:
Them all as he has to know how far he travels the customer rate to see is there is an increase of decrease price of gasoline to see if it's affecting g his outcome and price per miles for obvious reasons haha
Answer:
the answer B. Distance traveled by customer
48=3/8w
Multiplicative property of equality with fractions
Answers
Answer:
3/2
Step-by-step explanation:
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.
Answers
Answer:
Step-by-step explanation:
Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes
74.9 - 87.3 = - 12.4
Step 2. The formula for determining margin of error is expressed aa
Margin of error = z√(s1²/n1 + s2²/n2)
Where
z = z score
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
n1 = number of samples in group 1
n2 = number of samples in group 2
For a 95% confidence interval, the z score is 1.96
From the information given,
s1 = 21.75
n1 = 18
s2 = 19.75
n2 = 9
z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343
= 16.35
Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
95% Confidence interval = - 12.4 ± 16.35
Help! What is the value of n? n–2=10n+42
Answers
Answer:
n = (-44/9) or \(-4 \frac{8}{9}\)
Step-by-step explanation:
n – 2 = 10n + 42
-n - n
-2 = 9n + 42
-42 - 42
-44 = 9n
-44/9 = n
Answer:
Step-by-step explanation:
n-2= 10n+ 42
+2 +2
n = 10n + 44
-10n -10n
-9n = 44
/-9 /-9
n = -4.8
Find value of x in trapezoid
Answers
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
Answers
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Answers
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $3900, making Digitalis a profit of $547. Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective. (If necessary, consult a list of formulas.)
If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?
To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective.
a. Digitalis can expect to make money from selling these processors.
b. In the long run, they should expect to make ? dollars on each processor sold.
c. Digitalis can expect to lose money from selling these processors.
d. In the long run, they should expect to lose ? dollars on each processor sold.
e. Digitalis should expect to neither make nor lose money from selling these processors.
Answers
Answer:
a. Digitalis can expect to make money from selling these processors.
A profit of $118
Step-by-step explanation:
Chance of processor being defective = 11%
Chance that processor isn't defective = 89%
Sales price of processor = $3900
Profit made = $547
Full refund is given for a defective processor ; this means loss of manufacturing or production cost : Sale price - Profit ; $3900 - $547 = $3353
89% of profit - 11% of production cost
0.89*547 - 0.11 * 3353
486.83 - 368.83
= $118
This means a profit of $118
Do you help me with part a and part B please governments
Answers
Part a:
P is a circle of radius 3.
We want to draw a figure with a scale factor of 1/3. So we need to draw a circle with a radius of (1/3)*3 = 3/3 = 1, which is drawn below
Part b:
The circle P is a circle with a radius of 3.
The circle P' is a circle with a radius of 2.
So the scale factor of P to P' is 2/3.
is a number that is____________
a multiple of two or more numbers.
Answers
A number that can only be divided by 1 or 0 is prime. A composite number is a number that can be divided by 0, 1, 2, etc. I couldn't really get the question that you were trying to type, but this is what I came up with.
Hope this helps and just remember you are loved!
On a field trip, the ration of students who brought a water bottle to those who didn’t was 7 to 4. If 60 students did not bring water bottle, determine the total number of students on the field trip.
Answers
Answer:
165 students
Step-by-step explanation:
7/4 = x/60
(60*7)/4 = 105
105 + 60 = 165
Tam and Loc are putting their boxes in a storage room. The length of the room is 8 boxes long and the width of the room is 8 boxes wide. The height of the room is 8 boxes tall. Which expression correctly
shows how many boxes Tam and Loc can put in the storage room?
Answers
Answer:
its a trick answer for me
Answer:
=8to the 3rd power and =512
Step-by-step explanation:
Can anyone answer this
Answers
Answer:
The right answer is 80in^2
Use the graph of the parabola to fill in the table.
(a) Does the parabola open upward or downward?
upward
downward
(b) Find the coordinates of the vertex.
vertex: (2,-6)
(c) Find the equation of the axis of symmetry.
equation of axis of symmetry:
(d) Find the intercept(s).
For both the x- and y-intercept(s), make sure
to do the following.
If there is more than one, separate them
with commas.
If there are none, select "None".
x-intercept(s):
Answers
(b) The vertex is (2,-6).
(c) The equation of the axis of symmetry is x = 2.
(d) The x-intercepts are (0,12) and (4,12) and the y-intercept is (0,0).
PLEASE HELP ME! In the last week, Daniela has played 10 tennis matches. She remembers that her opponent had won 1 set in 4 of the matches and her opponent was expected to win a total of 6 sets over the course of 5 matches.
Answers
Answer:
The opponent won 2 sets in 4 matches, 1 set in 4 matches, and 0 sets in 2 matches.
Step-by-step explanation:
Given that in the last week, Daniela has played 10 tennis matches, and she remembers that her opponent had won 1 set in 4 of the matches and her opponent was expected to win a total of 6 sets over the course of 5 matches, but she Can't remember how many times her opponent won 0 or 2 sets, knowing that in total he played 10 games, to determine the number of times his opponent obtained these results, the following calculation must be performed:
5 matches = 6 sets
10 matches = 12 sets
10 - 4 = 6
12 - 4 = 8
8/2 = 4
Therefore, the opponent won 2 sets in 4 matches, 1 set in 4 matches, and 0 sets in 2 matches.
solve and graph -5 < 1/2(2m +6) ≤ 13
Answers
Answer:
The answer is -8<m\le \:10
Hope that helped :)
Step-by-step explanation:
Answer:
-8 < m ≤ 10
Step-by-step explanation:
Step 1: Simplify all parts of the inequality.
\(-5 < (1/2)(2m) + (1/2)(6) \leq 13\) \(-5 < m + 3 \leq 13\)Step 2: Subtract 3 from all sections.
\(-5 - 3 < m + 3 - 3 \leq 13-3\)\(-8 < m \leq 10\)Therefore, the answer is -8 < m ≤ 10.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
solve for r
8(-3r-5)>104
Answers
Answer:
r<-6
Step-by-step explanation:
8(-3r-5)>104
-24r-40>104
-24r>144
r<144÷-24 (the sign switched because we divided by a negative number)
r<-6
About how many centimeters are in 6.25 inches if 1 inch is about 2.5
centimeters? Show your reasoning.
Answers
Answer:
15.625
Step-by-step explanation:
if 1 in is 2.5 cm. 6.25 x 2.5 = 15.625
Find x
14.2
18.5
find correct answer
Answers
From the circle the value of angle x is 90 degrees
We have to find the value of x
The radius of the circle is 18.5
As we observe the figure the angle x is opposite to the 90 degrees
The angle x and angle 90 degrees are vertical angles
We know that the vertical angles are equal or same
∠x = 90 degrees
Hence, the value of angle x is 90 degrees from the circle
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A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answers
Answer:100,000
Step-by-step explanation:
Find the value of each variable in the parallelogram.
Answers
Answer: m=35, n=110
Step-by-step explanation:
Consecutive sides have sum 180°
n+70=180n=180-70n=110And
2m+110=1802m=180-1102m=70m=35If Cara walks at 3 mph, how far will she walk in 4 hours
Answers
Answer:
12 miles
Step-by-step explanation:
mph = miles per hour
3 mph
4 hours multiplied by 3
12 miles