SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define what happens when a function is shrunk vertically
When the factor is greater than 1, the condition that satisfies the function is to multiply by 1.4
When the graph is verticcally shrunk, this means that the function is multiplied by 1.4
Hence, the function becomes:
\(1.4\times f(x)=1.4\cdot f(x)\)STEP 2: Define what happens when the graph is shifted left by 3 units.
If the function is shifted left by 3 units, this implies that we add 3 units to the x of the function.
This gives:
\(1.4.f(x+3)\)Beinggreat78 can you pls answer for me?! Or someone who is good at Algebra! PLEASE HELP ME!! :(
Answer:
you have the correct answers
Step-by-step explanation:
you already have the right answers
um can somone help me please
Answer:
8 is 1
Step-by-step explanation: Multiply
Subtract and simplify. Show work to earn full credit. (from Lesson 4.03 - 4 points)
(9^2 − 4 − 4) − (−2^3 − + 12)
The simplified form of the expression (9² - 4 - 4) - (- 2³ - + 12) is 93.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression (9² - 4 - 4) - (- 2³ - + 12).
= (9×9 - 8) - (- 2×2×2 - 12).
= (81 - 8) - (- 8 - 12).
= (73) - (- 20).
= 73 + 20.
= 93.
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Avery is solving the following equation.
-2[m - 2] = -6
Which equation is equivalent to Avery's equation?
A. – 2m + 4 = -6
B. Im - 2] = -3
C. 2m + 4 = 6
D. Im - 2) = 3
Answer:
A. – 2m + 4 = -6
Step-by-step explanation:
I should know. I did the question.
100 is what percent less than 110?
Answer:
9.09%
(⬇Read my notes⬇)
Notes:
Hi there,
I know this answer is going to be incorrect on RSM, but it is the correct answer. Everyone has been saying that it's 9.09%, and I even found that as well. So I don't know why RSM is saying that it's wrong, because it should be correct.
- 201600823
what is the probability of coming up with the correct unscrambling through random letter selection?
the probability of randomly selecting the correct unscrambling would be 1/n!. As the length of the word increases, the probability of randomly selecting the correct unscrambling becomes increasingly small due to the exponential growth of possible arrangements.
The probability of coming up with the correct unscrambling through random letter selection depends on the specific word being unscrambled and the number of possible permutations. In general, the probability can be quite low due to the large number of possible combinations.
To calculate the probability, you would need to know the total number of possible letter arrangements and the number of arrangements that result in the correct unscrambling. Let's assume we have a word with n letters. The total number of possible arrangements is n!, which represents n factorial (the product of all positive integers from 1 to n).
The number of arrangements that result in the correct unscrambling depends on the specific word and the length of the word. For example, if the word has 4 letters, there are 24 possible arrangements (4!). However, only one of those arrangements is the correct unscrambling.
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The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 130 square feet is 5,200 pounds when the plane is going at 150 miles per hour. Find the lifting force if the speed is 220 miles per hour. Round your answer to the nearest integer if necessary.
The lifting force if the speed is 220 miles per hour is F' = 708.53 N.
The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.
The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.
We have,
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,
\(F=kAv^{2}\)
Where
k is constant
If, A = 190 Ft², v = 220 mph, F = 950 pounds
Now, find k first from the above data. So,
\(k=\frac{F}{Av^{2} }\)
⇒ \(k=\frac{950}{190* (220)^2}\)
⇒ k = 0.0001033
It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.
Let F' is a new force. So,
F' = 0.0001033 × 190 × (190)²
⇒ F' = 708.53 pounds.
So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.
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84784+24849+748429+123456
Answer:
981,518
Step-by-step explanation:
Have a nice day :)
Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared
Answer:
25\(\pi\ m^2\)
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, \(A\) = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius \(r\):
\(Area = \pi r^2\)
Here, \(r = 10 m\)
Putting the value in the above formula, we get:
So, area = \(\pi 10^2 = 100\pi\ m^2\)
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
\(\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2\)
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, point (negative 20, 40) is plotted.
Answer:a
Step-by-step explanation:
bc u just add them together
Answer:
B
Step-by-step explanation:
Took test on edge
A rental car company charges $80 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 150 miles. She has at most $300 to spend. Which inequality can be used to determine xx, the maximum number of days Alyssa can afford to rent for while staying within her budget?
Answer:
400
Step-by-step explanation:
Car A costs 80d + 0.25m, where d is days and m is miles. Car B costs 100d + 0.10m. If you plug in 3 for d and make the equations equal, you get 240 + 0.25m = 300 + 0.10m. Combining like terms gives you 0.15m = 60, and dividing gives you m = 400.
Using the inequality concept, the expression which models the maximum number of days in which she can rent the car is 80x + 15 ≤ 300
Maximum amount to spend = 300Fixed charge per day $80Charge per mile = $0.10The inequality which represents the number of days Can be expressed thus :
(Charge per day × number of days) + (charge per mile × number of miles) ≤ 300
80x + 0.10 × 150 ≤ 30080x + 15 ≤ 300Hence, the required inequality expression is 80x + 15 ≤ 300
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Can you please help me please.
PLZZZZ HELP ME FILL IN THE BLANKS!!!!!!!!!
Answer:
-51
Step-by-step explanation:
4xy + 2y^2-z
4(5)(-4) +2(-4)^2 -3
(20)(-4) + 2(-4)^2 -3
-80 +(2)(16) - 3
-80 + 32 - 3
-48-3
-51
Find an equation for the tangent line to the graph of the given function at ( - 3,1). f(x) =x^2 - 8 at ( - 3,1). Find an equation for the tangent line to the graph of f(x) =x^2 - 8 at ( - 3,1).
The equation of the tangent line is y = 2x + 7.
The slope of the tangent line can be found by taking the derivative of the function f(x) = x^2 - 8. Differentiating f(x) with respect to x, we get f'(x) = 2x.
Substituting x = -3 into f'(x), we find that the slope of the tangent line at x = -3 is m = 2(-3) = -6.
Using the point-slope form of a line equation, we have:
y - y1 = m(x - x1),
where (x1, y1) represents the coordinates of the point (-3, 1) and m is the slope.
Substituting the values, we get:
y - 1 = -6(x - (-3)).
Simplifying further:
y - 1 = -6(x + 3).
Expanding the brackets:
y - 1 = -6x - 18.
Adding 1 to both sides, we get:
y = -6x - 17.
Therefore, the equation of the tangent line to the graph of f(x) = x^2 - 8 at the point (-3, 1) is y = -6x - 17.
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You and a group of friends wish to start a company. You have an idea, and you are comparing startup incubators to apply to. (Start up incubators hold classes and help startups to contactventure capitalists and network with one another) Assume funding is normally distributed. Incubator A has a 70% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 57 companies reaching that 4 year mark,is 1.3 million dollars with a standard deviation of 0.6 million Incubator B has a 39% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 40 companies reaching that 4 year mark,is 1.9 million dollars with a standard deviation of 0.55 millionAre the success ratios significantly different?
To determine if the success ratios of Incubator A and Incubator B are significantly different, we can perform a hypothesis test.
Let's set up the null and alternative hypotheses as follows:
Null Hypothesis (H0): The success ratios of Incubator A and Incubator B are not significantly different.
Alternative Hypothesis (H1): The success ratios of Incubator A and Incubator B are significantly different.
We can use a significance level (α) of 0.05, which is a common choice.
To test the hypothesis, we can use a two-proportion z-test since we are comparing the success ratios of two groups. The formula for the test statistic is:
z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))
where:
p1 and p2 are the success ratios of Incubator A and Incubator B, respectively,
p_hat is the pooled sample proportion,
n1 and n2 are the sample sizes of Incubator A and Incubator B, respectively.
Let's calculate the test statistic and compare it to the critical value to make a decision.
Given:
Success ratio of Incubator A (p1) = 0.70
Sample size of Incubator A (n1) = 57
Success ratio of Incubator B (p2) = 0.39
Sample size of Incubator B (n2) = 40
First, calculate the pooled sample proportion (p_hat):
p_hat = (x1 + x2) / (n1 + n2)
where x1 is the number of successes in Incubator A and x2 is the number of successes in Incubator B. Since we are not given the actual counts, we cannot calculate the exact value of p_hat.
Next, calculate the test statistic (z) using the formula above.
Once we have the test statistic, we can compare it to the critical value from the standard normal distribution at the specified significance level (α) to make a decision.
If the test statistic falls within the rejection region (i.e., it is beyond the critical value), we reject the null hypothesis. If it falls within the acceptance region (i.e., it is within the critical value), we fail to reject the null hypothesis.
Without knowing the actual counts of successes in Incubator A and Incubator B, we cannot perform the calculations to determine if the success ratios are significantly different.
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What expression is equivalent to -4x-36
A. 4(x-9)
B.2(2x-18)
C.-2(2x- 18)
D.-4(x+9)
Answer:
\( - 4(x + 9) \\ - 4 \div - 4 = 1 \\ - 36 + - 4 = 9\)
Correct answer will get brainliest.
Answer:
x\(\geq \\\)8
Triangle M N O. Angle M is 72 degrees and angle O is 71.2 degrees. Triangle R S T. Angle R is 72 degrees and angle T is 36.8 degrees.
Isabelle claims that Triangle M N O is similar to triangle R S T. Is she correct? If not, what is her mistake?
Yes, she is correct.
No, the triangles are congruent because all corresponding sides and angles are congruent.
No, the vertices in her claim are not written in corresponding order.
No, her claim cannot be made about triangles with only one pair of congruent corresponding angles.
Answer:
C
Step-by-step explanation:
edge 21
Answer:
C or 3
Step-by-step explanation:
took the test
Which of the following is a prime number?
OA) 19
OB) 26
OC) 48
OD) 52
Answer:
A) 19
Step-by-step explanation:
prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself
A) 19 => 1 × 19 correct
B) 26 => 1 × 26, 2 × 13 incorrect
C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8 incorrect
D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect
Write the equation in factored form then stayed the X intercepts
Step 1
Given;
\(y=x^2+x-20\)Required; To write the equation in factored form
Step 2
Find the two factors that when added gives you x and when multiplied gives -20x²
\(\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}\)\(\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}\)Step 3
State the x-intercept
\(\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}\)Hence, the x-intercepts are;
x=4
x=-5
Simplify the expression and please show all work
-5+i over 2i
Answer:
2.5i
Step-by-step explanation:
-5/2 = 2.5
+i = 2.5i
A ball is thrown downward from the top of a 140 -foot building with an initial velocity of 24 feet per second. The height of the ball h in feet after t seconds is given by the equation h=-16t^(2)-24t+140.
In a case whereby a ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the ground at t = 2.5 or -3.5.
How can the time be calculated?Height of building = 140 ft
Initial velocity, u = 16 ft/sec
the equation given is
h = -16t² -16t +140
h(t) = -16t² -16t +140
AT h(t) = 0 , We can divide by -2 and have
(8t² + 8t - 70) = 0
8t² + 8t - 70 = 0
Then if we solve with quadratic equation formula where a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then t = 2.5 or -3.5
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complete question;
A ball is thrown downward from the top of a 140-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the ground?
SOLVE ALL AND GET 100 POINTS
Add the linear expressions.
(−2x−5−3x)+(2x−2)
What is the sum?
Enter your answer in the box.
Item 2
Subtract the linear expressions.
(2/5x−1)−(1/4x+2)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
Add the two expressions.
−6. 5b+11 and 3. 3b−2
Enter your answer in the box.
Subtract the linear expressions.
(−2. 6x+4. 2)−(3. 9x+2. 5)
What is the difference?
Enter your answer in the boX
so from your last two problems I do not know if they were decimal points or multiplication but I viewed them as decimal points let me know if they are multiplication instead and I will fix it if I can. #1 is -3x - 7 #2 is 1/5x - 3 #3 is -3.2 B + 9 #4 is 6.5x + 1.7
Answer:
below
Step-by-step explanation:
combine like terms
1.) (−2x−5−3x)+(2x−2) =
-3x -7
2.) (2/5x−1)−(1/4x+2) =
(3/20x) - 3
3.) (−6. 5b+11) + (3. 3b−2) =
-3.2b + 9
4.) (−2. 6x+4. 2)−(3. 9x+2. 5) =
-6.5x + 1.7
1.write an inequality for the following situation no more than 10 people are allowed in the elevator.
2. Write an inequality for the following situation for the tour bus to run at least eight people must sign up
3. Write an inequality
for the following
situation:
The most you will pay for
a pair of jeans is $60.
4. Write in any quality for the following situation and 20 people showed up to the party
Answer:
1. \(p \leq 10\) where \(p\) represents the total number of people.
2. \(p \geq 8\) where \(p\) represents the total number of people.
3. \(c \leq 60\) where \(c\) represents the cost of a pair of jeans.
4. \(p > 20\) where \(p\) represents the total number of people.
Step-by-step explanation:
Question 1 explanation: Since no more than 10 people are allowed in the elevator, that means 10 and under are allowed, so the inequality would be \(p \leq 10\).
Question 2 explanation: Since the tour bus needs at least 8 people to sign up to run, that means 8 and more people will allow the tour bus to run, so the inequality would be \(p \geq 8\)
Question 3 explanation: Since the most you will pay for a pair of jeans is $60, that means jeans costing $60 and under are fine, so the inequality would be \(c \leq 60\).
Question 4 explanation: Since over 20 people showed up to the party, that means there were more than 20 people at the party, so the inequality would be \(p > 20\).
Find the Perimeter of the figure below, composed of a rectangle and a semicircle.
Round to the nearest tenths place.
Answer:
I could say the nearest tenth is 50 or 60
Step-by-step explanation:
I hope that helps ight
ignore I did area not perimeter my bad!
I NEED HELP HURRY PLS
Answer:
I hope this helps....
Step-by-step explanation:
not quite sure if it's 100%correct.....or what ur looking 4..
If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence
aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.
What is Sequence and example ?
A sequence is a list of elements that has been arranged in a certain way. As an illustration, 3, 7, 11, 15,... is a sequence because it follows a pattern in which each phrase is produced by adding 4 to the one before it.The recursive relation for a geometric sequence is
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
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Write an equation for each translation. x²+y²=121 ; up 3 units
To perform a translation of moving the equation x² + y² = 121 up 3 units, we modify the equation by adding 3 to the y-coordinate. The resulting equation is x² + (y + 3)² = 121.
To perform a translation of moving the equation x² + y² = 121 up 3 units, we need to modify the equation to reflect the new position. Since the translation is upward, we add 3 to the y-coordinate in the equation.
By adding 3 to the y-coordinate, the equation becomes x² + (y + 3)² = 121. This new equation represents the original equation shifted upward by 3 units.
The equation x² + (y + 3)² = 121 describes a circle centered at the origin with a radius of 11 units. The translation shifts this circle upward by 3 units, preserving its shape and size but changing its position in the coordinate plane.
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Some of the students from Millennium Middle School are taking a trip to a museum. In all fewer than 60 students will go on the trip. The cost for food and admission to the museum is $18 per student. The students will travel on one bus to the museum. The cost of the bus is $800. Complete the table below to show the total cost for food, admission, and the bus for different numbers of students to the museum.
Answer
Number of students Total cost
0 $800
20 $1160
30 $1340
40 $1520
50 $1700
Explanation
Given
Cost per student = $18
The cost of the bus = $800
Step-by-step solution:
The total cost for food, admission, and the bus can be calculated using;
18a + b
Where a is the number of students and b is the cost of the bus.
For 30 students:
$18(30) + $800 = $540 + $800 = $1340
For 40 students:
$18(40) + $800 = $720 + $800 = $1520
For 50 students:
$18(50) + $800 = $900 + $800 = $1700
a. The probability of getting exactly 417 girls in 811 births is 1 (Round to four decimal places as needed.) b. The probability of getting 417 or more girls in 811 births is (Round to four decimal places as needed)
The probability of getting exactly 417 girls in 811 births is approximately 0.0668.
The probability of getting 417 or more girls in 811 births is approximately 0.1349.
a. The probability of getting exactly 417 girls in 811 births is not 1. The correct probability can be calculated using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the total number of births, k is the number of girls, p is the probability of a girl birth (assumed to be 0.5 for simplicity), and "n choose k" denotes the binomial coefficient, which is calculated as:
(n choose k) = n! / (k! * (n-k)!)
Plugging in the values, we have:
P(X = 417) = (811 choose 417) * 0.5^417 * 0.5^(811-417)
Using a calculator or software, we can simplify and evaluate this expression to find:
P(X = 417) ≈ 0.0668
So the probability of getting exactly 417 girls in 811 births is approximately 0.0668.
b. To find the probability of getting 417 or more girls in 811 births, we need to calculate the cumulative probability from 417 to 811:
P(X ≥ 417) = P(X = 417) + P(X = 418) + ... + P(X = 811)
We can use software or a calculator to calculate this sum, or we can use the complement rule:
P(X ≥ 417) = 1 - P(X < 417)
To calculate P(X < 417), we can use the cumulative distribution function (CDF) of the binomial distribution:
P(X < 417) = sum(i=0 to 416) (811 choose i) * 0.5^i * 0.5^(811-i)
Again, using software or a calculator, we can evaluate this expression to find:
P(X < 417) ≈ 0.8651
So the probability of getting 417 or more girls in 811 births is:
P(X ≥ 417) = 1 - P(X < 417) ≈ 1 - 0.8651 ≈ 0.1349
Rounding to four decimal places, the probability of getting 417 or more girls in 811 births is approximately 0.1349.
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