Answer:
24 and 1/2
Step-by-step explanation:
20 + 10 - 5 and 1/2 = 24 and 1/2
Please help with this
Answer:
697.24 and 886.76
Step-by-step explanation:
792+.92*103= 886.76
792-.92*103= 697.24
if that's not correct try 697.76 and 886.25
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
a) The function is vertically stretched and shifted parabola with translated horizontally to the right by 5 units, and vertically shifted upward by 2 units.
b) The function is vertically compressed and shifted parabola with translated horizontally to the left by 6 units, and vertically shifted downward by 4 units.
Given data,
a)
For the function g(x) = 3(x - 5)² + 2, the transformations of the graph of the parent function f(x) = x² can be described as follows:
Vertical Stretch: The coefficient 3 in front of the parent function causes a vertical stretch by a factor of 3. This means the graph of g(x) will be three times taller than the graph of f(x).
Horizontal Translation: The expression (x - 5) inside the square term indicates a horizontal translation to the right by 5 units. This means the graph of g(x) will be shifted horizontally to the right by 5 units compared to the graph of f(x).
Vertical Translation: The constant term 2 outside the square term causes a vertical translation upward by 2 units. This means the graph of g(x) will be shifted vertically upward by 2 units compared to the graph of f(x).
Therefore, the graph of g(x) = 3(x - 5)² + 2 will be a vertically stretched and shifted parabola, compared to the graph of the parent function f(x) = x². It will be taller, translated horizontally to the right by 5 units, and vertically shifted upward by 2 units.
b)
For the function g(x) = (1/3)(x + 6)² - 4, the transformations of the graph of the parent function f(x) = x² can be described as follows:
Vertical Compression: The coefficient 1/3 in front of the parent function causes a vertical compression by a factor of 1/3. This means the graph of g(x) will be one-third as tall as the graph of f(x).
Horizontal Translation: The expression (x + 6) inside the square term indicates a horizontal translation to the left by 6 units. This means the graph of g(x) will be shifted horizontally to the left by 6 units compared to the graph of f(x).
Vertical Translation: The constant term -4 outside the square term causes a vertical translation downward by 4 units. This means the graph of g(x) will be shifted vertically downward by 4 units compared to the graph of f(x).
Hence , the graph of g(x) = (1/3)(x + 6)² - 4 will be a vertically compressed and shifted parabola, compared to the graph of the parent function f(x) = x². It will be one-third as tall, translated horizontally to the left by 6 units, and vertically shifted downward by 4 units.
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Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
You are choosing between two health clubs club a offers membership for a fee of $13 plus a monthly fee of $28 club B offers membership for a fee of $19 plus a monthly fee of $27 after how many months will the total cost of each health club be the same? What will be the total cost for each club?
To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.
Let's assume the number of months is represented by 'x'.
For Club A, the total cost is given by:
Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)
For Club B, the total cost is given by:
Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)
To find the number of months when the total cost is the same, we set the two equations equal to each other:
$13 + $28x = $19 + $27x
Simplifying the equation, we get:
$28x - $27x = $19 - $13
$x = 6
Therefore, after 6 months, the total cost of each health club will be the same.
To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:
Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181
Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181
So, the total cost for both Club A and Club B will be $181 after 6 months.
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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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Which of the following are geometric sequences? Select all correct answers.
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
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12
A paratrooper falls to the ground along a diagonal line. His fall begins 5 330 meters above the ground, and the line he follows has a slope
of 6.5. That is, he falls 6.5 meters vertically for every 1 meter he moves across horizontally. How far horizontally across the ground does
he land from his initial position in the sky?
meters
Answer:
820
Step-by-step explanation:
Using the given values you can form the equation f(x)=-6.5x+5330 to model this example. All you need to do is look to where the x intercept is and there is you answer.
in your brains you want a ___ between excitary and inhibitroy signals
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
Since, We know that;
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.
Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.
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Identify how the two trianiges are congruent. Fill in the blank below the triangles with SSS, SAS, ASA, AAS, or HL. If the two triangles are not
congruent, type not congruent.
A4X4
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Question 2 (1 point)
Answer:
Blank 1 = SAS
Blank 2 = HL
Black 3 = ASA
Blank 4 = SSS
SAS - when two corresponding sides and one corresponding angles are equal HL - in a right angle triangle when corresponding hypotenuse and length are equal ASA - when 2 corresponding angles and one corresponding side are equal when all the sides of triangle is equal to other.Country A has an exponential growth rate of 4.3% per year. The population is currently 4,079,000, and the land area of Country A is 19,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
The number of years it would it take for there to be one person for every square yard is 108,325.68 years.
How many years would it take for there to be one person for every square yard?When there is one person for every square yard, it means that the population and land area are equal in value.
Number of years = (In FV / PV) / r
FV = future populationPV = present populationr = rate of growth(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years
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Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.
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 a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,
4.9x - (- 3) = 12.8.
4.9x + 3 = 12.8
4.9x = 12.8 - 3.
4.9x = 9.8.
x = 9.8/4.9.
x = 2.
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Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
Forest habitat is cleared to build a new shopping complex. what does this scenario represent? a loss of biodiversity due to a climate change a gain in biodiversity due to an invasive species a loss of biodiversity due to human activity a loss in biodiversity due to a catastrophic event
A loss of biodiversity due to human activity.
Answer:
C. A loss of biodiversity due to human activity
Step-by-step explanation:
solve for x
4x-2(x+1)=3x+10
I just need someone to explain the steps:)
Answer:
x = -12
Step-by-step explanation:
4x - 2(x + 1) = 3x + 10
First, you use distribution for - 2(x + 1) to better simplify teh equation:
4x - 2x - 2 = 3x + 10
Then, you subtract 4x - 2x:
2x - 2 = 3x + 10
Next, you subtract 2x from both sides of the equation to get x on one side:
(2x - 2x) - 2 = (3x - 2x) + 10
-2 = x + 10
Finally, you subtract 10 on both sides to get your answer:
(-2 - 10) = x (+ 10 - 10)
-12 = x
x = -12
Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.
Answer: 5
Step-by-step explanation: edge 2021
You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.
The first equation should be multiplied by the constant 5
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
\(a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\\)
then, if we want to eliminate variable x, then we have to multiply equation 1 with \(-\dfrac{a_2}{a_1}\) which will make coefficient of x in first equation as \(a_1 \times -\dfrac{a_2}{a_1} = -a_1\)
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
Using above method for getting the needed constantThe system of equation we've got is
\(\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40\)
Thus, we have the constant needed = \(-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5\)
The resultant system of equation we will get is:
\(2x + 30y = -50\\\\-2x -2y = 40\)
Thus,
The first equation should be multiplied by the constant 5
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There are 3 red jelly beans, 5 blue jelly beans, 2 orange jelly beans, and and 5 yellow jelly beans in a bag. Another bag has 1 pink jelly bean, 7 purple jelly beans, and 2 green jelly beans. What is the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag?
1/15
3/10
7/25
1/4
The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).
Firstly, we need to determine the total number of jelly beans in both bags.
The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).
Therefore, the total number of jelly beans in both bags is 25.
Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.
Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.
After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.
Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.
To determine the probability of both events occurring, we use the multiplication rule of probability.
Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.
Hence, the answer is option (a) 1/15.
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Sub to hudson moore among us gameplay
Answer:
okKkAyYy
Step-by-step explanation:
HELP HELP HELP I STILL HAVE 4 QUESTIONS AND 14 MINS HELP!!
The Thousand and One Nights is an example of a book of scripture. a collection of images. a book by astronomers. a collection of short stories.
Answer:
it is wonderful short-story reading experience./ a collection of short stories.
Answer:
a collection of short stories
Step-by-step explanation:
an object is thrown upward at a speed of 74 feet per second by a machine from a height of 18 feet off the ground. The height h of the object after t seconds can be found using the equation h=-16t^2+74t+18
Answer:
First part:
Set h(t) = 73 and solve for t.
-16t2 + 64t + 16 = 73
-16t2 + 64t - 57 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 73 on the way up, and the higher value is the time to reach 73 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Step-by-step explanation:
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
What is the equation of the line graphed below?
y=3x-2
That’s the answer
4-(6x1000)+99-490=
i need u guys help and thank you
Answer:
-6387
Step-by-step explanation:
I have a feeling you're just giving away points :)
order these numbers from least to greatest
2.069, 2.7, 2.6912, 2.69
Answer:
2.069, 2.69, 2.6912, 2.7
Step-by-step explanation:
- Separate the number 78 into three parts so
that the second part is twice the first part and
the third part is 6 more than the first part.
8. Factor the expression x3 + 6x – 5x2 completely.
Answer:
Factor the polynomial.
ANSWER:x(x-3)(x-2)
Step-by-step explanation:
Using logarithmic properties, what is the solution to log4(y - 9) + log43 = log481? Show all necessary steps.
Answer:
y = 36
Step-by-step explanation:
Given logarithmic equation:
\(\log_4(y-9)+\log_43=\log_481\)
\(\textsf{Apply the \textbf{log product law}}: \quad \log_ax + \log_ay=\log_axy\)
\(\implies \log_4\left(3(y-9)\right)=\log_481\)
\(\textsf{Apply the \textbf{log equality law}}: \quad \textsf{If $\log_ax=\log_ay$ then $x=y$}\)
\(\implies 3(y-9)=81\)
Divide both sides of the equation by 3:
\(\implies \dfrac{3(y-9)}{3}=\dfrac{81}{3}\)
\(\implies y-9=27\)
Add 9 to both sides of the equation:
\(\implies y-9+9=27+9\)
\(\implies y=36\)
Therefore, the solution to the given logarithmic equation is y = 36.
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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factor each trinomial. if the trinomial cannot be factored, write, prime.
The questions is to factor
\(x^2-11x+30\)What we do with these trinomials is that, we factor them in the form:
\((x-a)(x-b)\)Where
"a" and "b" are two numbers
• when multiplied gives "30"
,• when added gives "-11"
Now, we think about the two numbers, a and b.
So, we can say:
-6 and -5
added gives: -6 + -5 = -11
and
multiplied gives: (-6)(-5) = 30
Thus, our numbers are -6 and -5
So, factorizing:
\((x-6)(x-5)\)A runner can run 2 miles in 10 minutes. At this rate how many miles can he run in 40 minutes
Answer:
8 miles
Step-by-step explanation:
At a rate of 2 miles in 10 minutes, in 40 minutes he can run 8 miles.
2 / 10 == x / 40
x == (40 * 2) / 10
x == 8
Cheers.
Answer:
Step-by-step explanation:
8