the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!
Answers
Answer:
y = 3/4*4ˣStep-by-step explanation:
The function is:
y = abˣSubstitute the values from the given points and solve for b:
48 = ab³768 = ab⁵Divide the second equation by the first one:
768/48 = ab⁵/ab³b² = 16b = 4Find a using the first equation:
48 = a*4³a = 48/64a = 3/4The function is:
y = 3/4*4ˣRelated Questions
Three men can build a grarge in eight days days. How many men are needed to build the garage in six days
Answers
If 3 men build a garage in 8 days, then 4 men will be needed to build the garage in 6 days.
The amount of work required to build the garage is constant, regardless of the number of days or workers involved. We assume that each worker does the same amount of work in a day, then we use the following formula;
⇒ work = rate × time,
where rate is = amount of work done by one worker in a day, and time is = number of days worked,
Let the number of workers needed be "x". If 3-workers can build the garage in 8 days, then we have:
⇒ work = 3 workers × 8 days = 24 worker-days,
If "x" workers are needed to build the garage in 6 days, then we have:
⇒ work = (x workers) × (6 days),
Since the amount of work is same in both cases, we equate the two expressions;
⇒ 3 workers × 8 days = x workers × 6 days
⇒ x = (3 workers × 8 days)/6 days = 4 workers;
Therefore, 4 workers are needed to build the garage in 6 days.
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A major automobile company claims that its new electric powered car has an average range of more that 300 miles. A random sample of 40 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test. A) what would be the consequences of making a type ii error in this problem? b) compute the probability of making a type ii error if the true population mean is 305 miles. C) what is the maximum probability of making a type i error in this problem?
Answers
Answer:
Step-by-step explanation:
urmom
A whale can stay underwater 7 times as long as x minutes more than a platypus can. Write an equation that states the relationship of the minutes these two mammals can stay underwater
Answers
Answer:
Step-by-step explanation:
Using the information provided we can create the following two equations each of which calculates the total number of minutes that the whale (w) or the platypus (p) can stay underwater. In order to solve each, you would need the value of at least 1 of the mammals.
w = 7 * (p+x)
p = (w / 7) - x
The w in these equations represents the number of minutes the whale can stay underwater while the p represents the number of minutes that the platypus can stay underwater.
exercise 9-4. what is the present value of $1,490.30 per year for 10 years if the required return is 8 percent? enter your answers as amounts only with neither commas nor decimals rounded to the nearest hundred. e.g., 8599.99 is rounded to 8600.
Answers
the total amount will be $10000, for present value of $1,490.30
What is compound interest?
The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.
if the required return is 8 percent.
the present value of $1,490.30
The total year will be 10.
So the amount after 10 years will be:
Then Present value
$1490.30 x 6.71008140
10,000.03 = $10000
Hence, the total amount will be $10000.
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suppose you take a sample of 50 students from your school and measure their height. which one of the following is a random variable?
Answers
If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .
A Random Variable is a defined as a variable whose value depends on the outcome of a random event.
Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.
Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.
Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So, it is a fixed value and not a random variable.
Therefore , The mean of the sample data will be a random variable .
The given question is incomplete , the complete question is
Suppose you take a sample of 50 students from your school and measure their height. Which one of the following is a random variable?
(a) The true mean height of all students from your school.
(b) The mean of the sampling distribution of mean heights for samples of size 50.
(c) The mean of the sample data.
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Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
Answers
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
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HELP ASAP. is the relationship shown in the table below proportional? if so, what is the ratio of the hours driven to miles traveled? (k value)
Answers
Not proportional because the numbers jump around
Find the rate of change from the table of values
Answers
The rate of change in this table of values is also the slope. Solve for the slope using any two points in the table. In this instance we will be using (1,5) and (2,6)
\(\begin{gathered} (x_1,y_1)=(1,5) \\ (x_2,y_2)=(2,6) \\ \\ m = \dfrac{y_2 - y_1}{x_2 - x_1} \\ m = \dfrac{6 - 5}{2 - 1} \\ m = \dfrac{1}{1} \\ m=1 \end{gathered}\)Therefore, the rate of change is 1.
which of the following is the best order-of-magnitude estimate in meters of the height of a mountain
a. 1m b. 10m c 100m d. 1,000m
Answers
Answer:
The best is:
d. 1.000m
Find g(x), where g(x) is the translation 4 units left of f(x)=x^2
Answers
The function g(x) that is a translation 4 units left of f(x) = x² is g(x) = (x - 4)²
Define the term horizontal translation?A horizontal translation is a transformation that shifts a function horizontally left or right without changing its shape or size.
To find the function g(x) which is a translation 4 units left of f(x) = x², we can use the following formula for a horizontal translation:
g(x) = f(x + h) - k
where h is the amount of the horizontal translation and k is the amount of the vertical translation. In this case, we want to translate 4 units to the left, so h = -4. There is no vertical translation, so k = 0. Therefore:
g(x) = f(x + (-4)) - 0
g(x) = f(x - 4)
Substituting f(x) = x², we get:
g(x) = (x - 4)²
Therefore, the function g(x) that is a translation 4 units left of f(x) = x² is g(x) = (x - 4)²
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Fill in the blank with a number to make the expression a perfect square.
u^2+8u+?
Answers
Answer:
16
Step-by-step explanation:
Hello, do you remember that result?
For any a and b real numbers,
\((a+b)^2=a+2\cdot a \cdot b+b^2\)
In this example, we have.
\(u^2+8u=u^2+2\cdot 4 \cdot u\\\\\text{ This is the beginning of ... } u^2+8u+4^2=u^2+8u+16\\\\\text{ So, we need to add 16 to make a perfect square}\\\\u^2+8u+\boxed{16}=u^2+2\cdot 4\cdot u +4^2=(u+4)^2\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
188 in base 10 to base 16
Answers
Step-by-step explanation:
see there up I have click photo
How many different positive integers divisible by 4 can be formed using each of the digits 1, 2, 3, and 4 at most once, and no other digits
Answers
For a number to be divisible by 4, its last two digits must form a number divisible by 4. Using the given digits, we can create the following such numbers: 12, 24 and 32. For each such number, there are 2 ways to select the remaining two digits. Therefore, there are \(3\cdot2=6\) such integers.
Supervisor: "you took 500 calls in 30 days." representative: "that means i took an average of __________ calls per day. i'm pretty pleased with that."
Answers
Answer:
an average of around 16 calls per day
Step-by-step explanation:
Simply divide 500 by 30 and that comes out to 16.66666
But because you cannot take half a call you just use 16 as your answer!
What is meant by linear algebra?
Answers
Answer:
Step-by-step explanation:
a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations.
Miss Campbell has just bought a rectangular displayboard for her bedroom. It has a length of 90 cm and a width of 50 cm. Miss Campbell would like to put a border of yellow ribbon around the perimeter of her display board.
Answers
Answer:
Area - l*w
area is 4500 cm 2
perimeter - l + w * 2
perimeter is 280 cm
Read the passage.
[1] It is important to repot plants to maintain healthy
growth. [2] First, check whether the plant has grown
too large for its current pot. [3] If so, remove the plant
and gently shake loose as much of the soil as possible,
leaving the roots intact and exposed. [4] Rinse the
roots by soaking them thoroughly. [5] Next, fill the new
pot with layers of perlite (for drainage), manure (for
fertilization), sand, and garden soil. [6] Make sure to
find a new pot that is big enough to allow for future
growth. [7] Make a hollow in the potting mixture and
tuck in the plant. [8] Add more soil around the plant,
then water it generously. [9] Place it in a spot with the
correct amount of sun exposure, and watch it thrive!
How could the error in this set of instructions be resolved?
O by rearranging the steps so they are in sequential
order
O by adding multiple drawings that show how the roots
should look when rinsed and how the plant should
look when it is repotted correctly
O by revising sentence 2 to read, "Check to see
whether the plant has grown too large for its pot by
measuring the space between it and the rim."
O by including measurements for each type of potting
material
Answers
The error in the set of instructions can be resolved by rearranging the steps so they are in sequential order. The Option A is correct.
How could the error in the set of instructions be resolved?The most effective solution would be to rearrange the steps so they follow a logical order.
For example, the steps could be rearranged as follows:
1) check the plant's size2) choose a new pot3) remove the plant and rinse the roots4) prepare the potting mixture5) repot the plant6) water and place the plant in a suitable location.Therefore, by doing this would make the instructions clearer and easier to follow. The Option A is correct.
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Express each set in roster form. You may need to use the internet or some other reference source. C={x|x+6=10}
Answers
The roster form of the set C={x|x+6=10} is C={4}
A set is mathematically represented in a straightforward way using roster notation. The components (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set comprises more than one element, a comma is used in a roster notation to indicate the separation of every two elements. Since each person is counted separately, the roster form is also known as an enumeration notation.
In the given set, the value of x is such that when it is added with 6 the result is 10.
∴x+6=10⇒x=10-6=4
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Please help! I will give brainliest.
Answers
Answer:
Therefore, the measure of ∠x is 33 degrees.
Step-by-step explanation:
As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:
∠R + ∠x = 90 degrees
Substituting the given values, we get:
57 + ∠x = 90
∠x = 90 - 57
∠x = 33 degrees
Answer: x = 32°
Step-by-step explanation: triangle of ABC = 58°, 90° & x°
x = 180°-148° = 32°
(x° is equal to the unknown° where C is, as well as 58° where A is)
The cost of producing a smartphone is $42.73 per phone. Additionally, the smartphone company pays a flat rate of $175 to ship each store’s order. Write an equation to model the costs for the smartphone company, y, to produce x number of smartphones and ship them to one store.
Answers
y=42.73x+175
42.73 is the slope and 175 is the y intercept
what's the value of
\( \sqrt{2 \times 2} \)
Answers
Answer:
2.82842712475
Step-by-step explanation:
hope it helps.....
Answer:
√{2×2}=√2²=±2 is your answer
A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the Sigma= 3.3 mg claimed by the manufacturer. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is a failure to reject the null hypothesis, state the conclusion in nontechnical terms.
a) There is not sufficient evidence to support the claim that the standard deviation is different from 3.3 mg.
b) There is sufficient evidence to support the claim that the standard deviation is equal to 3.3 mg.
c) There is sufficient evidence to support the claim that the standard deviation is different from 3.3 mg.
d) There is not sufficient evidence to support the claim that the standard deviation is equal to 3.3 mg
Answers
The conclusion for the hypothesis test of the claim regarding the standard deviation of acetaminophen in cold tablets is that 'There is not sufficient evidence to support the claim that the standard deviation is different from 3.3 mg'. Therefore, the correct option is option A.
The reasoning behind this conclusion is that the hypothesis test failed to reject the null hypothesis, which means there was not enough evidence to prove that the standard deviation is different from the manufacturer's claimed value of 3.3 mg. Therefore, we cannot support the researcher's claim, and we stick with the original assumption that the standard deviation is indeed 3.3 mg.
Hence, the correct answer is option A: There is not sufficient evidence to support the claim that the standard deviation is different from 3.3 mg.
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find the area of the region bounded by the line y=3x-6 and line y=-2x+8 and the line x=5
Answers
Answer: x=536
Step-by-step explanation:
Answer:
12.1 square unitsStep-by-step explanation:
The region is limited within the triangle.
Vertices are the intersection of the three lines.
3x - 6 = -2x + 8 ⇒ 5x = 14 ⇒ x = 2.8 ⇒ y = 2.4 point (2.8, 2.4)x = 5 ⇒ y = 3*5 - 6 = 9 point (5, 9)x = 5 ⇒ y = -2*5 + 8 = -2 point (-2, 9)Plot the points. See the picture it makes the next step easy.
Base of the triangle has the length:
9 - (-2) = 11 unitsThe height has the length:
5 - 2.8 = 2.2The area:
A = 1/2bh = 1/2*2.2*11 = 12.1 square units
hi anybody tell me the answers
Answers
Boys total: 32
Boys math: 5
Boys english: 20
Total english: 26
Total science: 19
tay-sachs disease is a genetic disorder that is usually fatal in young children. if both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. suppose that a husband and wife are both carriers and that they have six children. if the outcomes of the six pregnancies are mutually independent, what are the probabilities of the following events? (round your answers to four decimal places.) (a) all six children develop tay-sachs disease. (b) only one child develops tay-sachs disease. (c) the third child develops tay-sachs disease, given that the first two did not.
Answers
The probability that each child develops Tay-Sachs disease is 0.25. Since the outcomes of the six pregnancies are mutually independent, we can multiply the probabilities to find the probability that all six children develop the disease. 0.25^6 = (1/4)^6 = 0.00390625
(b) The probability that only one child develops Tay-Sachs disease is 6 * (0.25)^1 * (0.75)^5 = 0.140625.
There are six possible ways for one child to develop Tay-Sachs disease and the other five children to not develop the disease. We can find the probability of each way and then add them up.
The probability that one child develops Tay-Sachs disease is 0.25. The probability that the other five children do not develop Tay-Sachs disease is 0.75.
The probability that one child develops Tay-Sachs disease and the other five children do not develop the disease is 6 * (0.25)^1 * (0.75)^5 = 0.140625
(c) The probability that the third child develops Tay-Sachs disease, given that the first two did not, is 0.25.
The fact that the first two children did not develop Tay-Sachs disease does not affect the probability that the third child will develop the disease. The probability that the third child develops Tay-Sachs disease is still 0.25.
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Brian loves to bake blueberry muffins for his friends and family.
there is a proportional relationship between the volume of flour brian uses (in cups), x, and
the number of muffins he bakes, y.
10
9
8
7
9
s
s
3
2
2
s
9
00
9
10
Answers
For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.
Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:
k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4
Hence, the proportionality constant for the given data is 4.
Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).
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Rewrite the function by completing the square. G(x)=4x^2-28x+49
Answers
The function G(x) = \(4x^2 - 28x + 49\) can be rewritten as G(x) = \(4(x - 3.5)^2 -\)196, where the vertex of the parabola is located at the point (3.5, -196).
To rewrite the quadratic function by completing the square, we follow these steps:
Step 1: Start with the given quadratic function:
\(G(x) = 4x^2 - 28x + 49\)
Step 2: Divide the coefficient of the x term by 2 and square the result:
(-28 / 2)^2 = (-14)^2 = 196
Step 3: Add and subtract the value obtained in Step 2 inside the parentheses:
G(x) = 4x^2 - 28x + 196 - 196 + 49
Step 4: Rearrange the terms and group the perfect square trinomial:
\(G(x) = (4x^2 - 28x + 196) - 196 + 49\)
Step 5: Factor the perfect square trinomial and simplify:
G(x) = 4(x^2 - 7x + 49) - 196 + 49
Step 6: Complete the square inside the parentheses:
G(x) = 4(x^2 - 7x + 49) - 147
Step 7: Rewrite the perfect square trinomial as a squared binomial:
\(G(x) = 4[(x - 3.5)^2 - 3.5^2] - 147\)
Step 8: Simplify the expression inside the square brackets:
G(x) = 4(x - 3.5)^2 - 49 - 147
Step 9: Combine like terms:
G(x) = 4(x - 3.5)^2 - 196
Therefore, the function G(x) = 4x^2 - 28x + 49 can be rewritten as G(x) = 4(x - 3.5)^2 - 196, where the vertex of the parabola is located at the point (3.5, -196). The completed square form allows us to easily identify key properties of the quadratic function, such as the vertex and the direction of the parabola.
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Simplify the following expression: 5(3x) - 3(7x - 2)
�� 6x + 6 �� 36x + 6
�� 6 - 6x �� 6 - 36x
Answers
Answer:
The answer is in the screenshot -6x-6
Step-by-step explanation:
PLZZZ HELP X IS 44 .............
Answers
Answer:
y = 136
Step-by-step explanation:
the line is 180 degrees so
180-44 = 136 degrees
Answer:
y=136
Step-by-step explanation:
x=44 y=136
44+136=180
The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, w. Numbers may be used once, more than once, or not at all.
Answers
Answer:
24-2-2= 20. 20/2 = 10 width is ten
Step-by-step explanation: