what is 6.7 x 10 to the power of 1 in standard form
Answers
Answer: 6.7 x 10^1 = 67
Step-by-step explanation:
move the decimal point once, to the right.
Related Questions
+Suppose g(x) = (x – 4)2 + 5. Which statement best compares the graph ofg(x) with the graph of f(x) = x2?O A. The graph of g(x) is shifted 4 units left and 5 units up.O B. The graph of g(x) is shifted 4 units left and 5 units down.O c. The graph of g(x) is shifted 4 units right and 5 units down.O D. The graph of g(x) is shifted 4 units right and 5 units up.SUBMIT
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Suppose
\(g(x)\text{ = \lparen x-4\rparen}^2\text{ + 5}\)Which statement best compares the graph of g(x) with the graph of:
\(f(x)\text{ = x}^2\)Step 2:
The details of the solution are as follows:
The graphs of the two functions are as follows:
CONCLUSION:
The final answer is:
The graph of g(x) is shifted 4 units right and 5 units up ( OPTION D )
Find the value of x.
x =
Enter the number that belongs in
the green box.
Answers
Answer:
x=67
Step-by-step explanation:
Sum of all angles is 180
36+77+x=180
113+x=180
x=180-113
x=67
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Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cubes.How many cubes have just one red face?
Answers
The number of cubes that have just one red face is 25.
What is a cube?A solid three-dimensional shape called a cube contains six square faces, eight vertices, and twelve edges.
Given:
Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.
The surface area of the cube with dimensions 5 x 5 x 5,
= 6 x 5 x 5
= 150 square units.
The surface area of the cube with dimensions 1 x 1 x 1,
= 6 square units.
The number of cubes that have just one red face is,
= 150/6 = 25
Therefore, 25 is the required number.
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Solve the system of equations. 6x-5y=-32, -7x+8y=46
Answers
Answer:
x = -2
y = 4
Step-by-step explanation:
6x-5y=-32
-7x+8y=46
Solve for x in the first equation.
6x = -32 + 5y
x = (-32 + 5y) /6
x = 5/6y - 16/3
Put x as 5/6y - 16/3 in the second equation and solve for y.
-7(5/6y - 16/3) +8y = 46
-35/6y+112/3 +8y = 46
13/6y + 112/3 = 46
13/6y = 46 - 112/3
13/6y = 26/3
y = 26/3 × 6/13
y = 4
Put y as 4 in the first equation and solve for x.
6x-5(4)=-32
6x-20 = -32
6x = -32+20
6x = -12
x = -12/6
x = -2
Find the area of the parallelogram whose vertices are listed below. (-2, 0), (0, 3), (1, 3), (-1, 0).
Answers
The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.
To find the area of a parallelogram whose vertices are given, we use the formula
A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .
Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.
Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2
=|(-6+0+0)+ (0+3+2)|/2
=11/2 square units.
Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.
Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.
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Frank reads at least 24 pages but not more than 36 pages of a book. He reads 12 pages per hour. The number of hours Frank reads p pages is modeled by a function. t(p)=p12 What is the practical range of the function?
all real numbers from 2 to 3, inclusive
all real numbers
all real numbers from 24 to 36, inclusive
all multiples of 12 between 24 and 36, inclusive
Answers
Answer:
as practical range of function is 2 to 3 so we have
12(2) = 24
12(3) = 36
i think this is it
Step-by-step explanation:
i don't really know how to explain it but:
12 x 2 = 24and
12 x 3 = 363.2(x - 5) has infinitely many solutions is Alex correct
Answers
Alex's statement that 3.2(x - 5) has infinitely many solutions is correct
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
3.2(x - 5)
The above is an expression
This means that it can take any value depending on the value of x
Taking any value implies that it has infinitely many solutions
Hence, Alex's statement about the solutions is correct
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in a simple regression analysis, the response variable y is typically the business outcome which we wish to understand better. true false question. true false
Answers
False. In a simple regression analysis, the response variable y does not necessarily have to be the business outcome that we wish to understand better.
In regression analysis, the response variable (dependent variable) represents the outcome or variable of interest that we want to explain or predict. It is the variable that we seek to model or understand based on the values of one or more predictor variables (independent variables).
While the response variable in a regression analysis can indeed be a business outcome, such as sales revenue or customer satisfaction, it can also be any other measurable variable that we want to study or analyze, such as temperature, time, or test scores. The choice of the response variable depends on the research question and objectives of the analysis.
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this homework is due now!!!!!
Answers
Answer:
D
Step-by-step explanation:
step by step... solved
xoxoxoxozooxoxoxoxoo
Answers
please please answer (-2)(-4)(-1)(-7)(1) = and explain
Answers
Answer:
56
Step-by-step explanation:
(-2)(-4)(-1)(-7)(1) =
(8)(-1)(-7)(1) =
(-8)(-7)(1) =
(56)(1) = 56
hope this helps
have a good day
12a − 3(7 + 5a)
help pls
Answers
Answer:
-3a-21
Step-by-step explanation:
Answer:
27a-21
Step-by-step explanation:
12a-3(7+5a)
distribute the 3
3x7=21
3x5a=15a
12a-21+15a
12a+15a=27a
27a-21
Webrooming, researching products online before buying them in store, has become the new norm for some consumers and contrasts with showrooming, researching products in a physical store before purchasing online. A recent study reported that most shoppers have a specific spending limit in place while shopping online. Findings indicate that men spend an average of $270 online before they decide to visit a store. Assume that the spending limit for men is normally distributed and that the standard deviation is $19.
Required:
a. What is the probability that a male spent less than $229 online before deciding to visit a store?
b. What is the probability that a male spent between $298 and $320 online before deciding to visit a store?
c. Eighty percent of the amounts spent online by a male before deciding to visit a store are less than what value?
Answers
a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.
b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.
c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.
We have,
a. To find the probability that a male spent less than $229 online before deciding to visit a store, we need to calculate the cumulative probability.
Using the normal distribution with a mean of $270 and a standard deviation of $19, we can calculate:
P(X < $229) = P(Z < (229 - 270) / 19) = P(Z < -2.158) ≈ 0.015
Therefore, the probability that a male spent less than $229 online before deciding to visit a store is approximately 0.015, or 1.5%.
b. To find the probability that a male spent between $298 and $320 online before deciding to visit a store, we can calculate the difference between the cumulative probabilities for each value.
Using the normal distribution, we have:
P($298 < X < $320) = P(X < $320) - P(X < $298)
= P(Z < (320 - 270) / 19) - P(Z < (298 - 270) / 19)
= P(Z < 2.632) - P(Z < 1.474)
≈ 0.995 - 0.929
≈ 0.066
Therefore, the probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 0.066, or 6.6%.
c. To find the value below which 80% of the amounts spent online by a male before deciding to visit a store fall, we can use the inverse cumulative distribution function (also known as the Z-score).
We need to find the Z-score corresponding to the cumulative probability of 0.8:
Z = invNorm(0.8) ≈ 0.842
Now, we can use the Z-score formula to find the corresponding value:
X = mean + Z x standard deviation
= $270 + 0.842 * $19
≈ $285.598
Therefore, 80% of the amounts spent online by a male before deciding to visit a store is less than approximately $285.598.
Thus,
a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.
b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.
c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.
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help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answers
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
Linear ApplicationThe function V(x) = 20.6 +2.2x gives the value (in thousands of dollars) of an investmentafter a months.Interpret the Slope in this situation.The value of this investment is decreasing✓at a rate ofdollars per year V
Answers
SOLUTION:
Case: Interpreting slopes from linear equations
Method:
V(x) = 20.6 + 2.2x
Compared to
y = mx + b
Where m is the slope and it is being interpreted as the rise for every single run on the line graph.
As it applies,
V(x) = 20.6 + 2.2x
m = 2.2 thousand ie. 2200
It is interpreted as the amount the value increases by each month.
Final answer:
The value of this investment is increasing at a rate of $2200 each month
A skating rink can be rented for parties. The total price, p, for g guests can be found using the formula below.
p = 69 + 90
Write an equation that shows the same formula rearranged to find g in terms of p.
(Give your response in the form g = ...)
Answers
Answer:
69+90 p=159
Step-by-step explanation:
When testing the difference between two independent population means, the sample variances are pooled to estimate the population variance when ________. Selected Answer: the population variances are assumed unequal and unknown
Answers
given the sphere below, determine the volume and surface area
Answers
Answer:
Formula for volume of sphere: V = 4/3πr³
V = 4/3 × π × 3³V = 113.1 yd³Formula for surface area of sphere: A = 4πr²
A = 4 × π × 3²A = 113.1 yd²Work out 8 divided by 2/3
Answers
Answer:
Hi! The answer to your question is 12
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Step-by-step explanation:
Given
\( \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12\)
Hope it will help :)❤
A regression analysis between sales, Y (in thousands of dollars) and advertising, X, (also in thousands of dollars) results in the following estimated regression model:A regression analysis between sales, Y (in
th. This implies that (read carefully):
a) as advertising increases by $1,000, estimated mean sales increases by $80,000.
b) as advertising increases by $5, estimated mean sales increases by $80.
c) as sales increases by $1,000, estimated mean advertising increases by $5,000.
d) as advertising increases by $1,000, estimated mean sales increases by $5,000.
e) as advertising increases by one dollar, estimated mean sales increases by $5000.
Answers
The estimated regression model shows that as advertising increases by $1,000, the estimated mean sales increase by $80,000.
The estimated regression model is a mathematical equation that relates the dependent variable (sales) to the independent variable (advertising) based on a given set of data. In this case, the estimated regression model indicates that for every increase of $1,000 in advertising, the estimated mean sales increase by $80,000. This means that there is a positive correlation between advertising and sales, and the model predicts that increasing advertising expenditure will result in higher sales.
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Construct the first three Fourier approximations to the square wave function f(x) = {1 - pi lessthanorequalto x < 0 -1 0 lessthanorequalto x < pi F_1(x) = -(4/pi)*(sin(x)) F_2(x) = (4/pi)*(sin(x)) F_3(x) = (4/pi)*((sin(x))-(1/3)*(sin(3x)))
Answers
The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].
The square wave function can be defined as:
f(x) = {1 -π ≤ x < 0
-1 0 ≤ x < π
To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.
a_n = (1/π) ∫_0^π f(x) cos(nx) dx
= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx
= (2/π) ∫_0^π cos(nx) dx
= (2/π) [sin(nπ) - sin(0)]
= 0
b_n = (1/π) ∫_0^π f(x) sin(nx) dx
= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx
= -(2/π) ∫_0^π sin(nx) dx
= -(2/π) [cos(nπ) - cos(0)]
= (2/π) [1 - (-1)^n]
Therefore, the Fourier series for f(x) is:
f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]
To find the first three Fourier approximations, we truncate this series at the third term.
F_1(x) = -(4/π) sin(x)
F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)
F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)
These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.
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ayudaaaaaaa es razonamiento matematico
pagué 250 pesos del recibo del agua y 490 pesos de la luz pero no recuerdo cuanto pague del telefono si traia $1000 y me sobraron 74.50 pesos ¿por cuanto era el recibo del telefono?
Answers
Queremos encontrar y resolver una ecuación algebraica con los datos dados.
Veremos que se pagaron 185.50 pesos del telefono.
La información que se nos da es:
Se pagan 250 pesos de agua.Se pagan 490 pesos de agua.No se sabe cuanto se pago del telefono, representemos esto con X.Sabemos que de 1000 pesos sobraron 74.50, entonces podemos escribir:
1000 - 250 - 490 - X = 74.50
Ahora podemos resolver esto para X.
1000 - 250 - 490 - X = 74.50
260 - X = 74.50
X = 260 - 74.50 = 185.50
Así podemos concluir que se pagaron 185.50 pesos del telefono.
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Determining the location of a terminal point given the signs of Determine the quadrant in which the terminal side of 0 lies. (a)sine < 0 and cot 0 < 0 (Choose one) (b) cos > 0 and esce < 0 (Choose one) quadrant I quadrant II quadrant III quadrant IV ?
Answers
Based on the given information, the terminal side of angle 0 lies in quadrant III.
To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:
(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:
Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.
Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.
In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.
(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.
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Question 4 A triangle has two sides that are 8 cm and 13 cm. What could be the length of the triangle's third side? Select three that apply. А 5 cm B 10 cm С 17 cm D 20 cm E 21 cm F 24 cm
Answers
know what is the third side length
the difference between the 2 other sides < the greatest side of triangle < the sum of 2 other sides
so here the answers here could be ( 10- 17 - 20)
10-8 < 13 < 10+8
13-8 < 17 < 13+8
13-8 < 20 < 13+8
A plane traveled 1000 miles each way to Albuquerque and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answers
100 mph going there, 50 coming back
a small company has five employees who missed work during a certain month. the number of days missed were: 1, 1, 2, 4, 7. what is the mode?
Answers
The mode will be = 5.2
What is mode?
A set of data values' mode is the value that appears the most frequently. The value of X at which the probability mass function reaches its highest value is known as the mode if X is a discrete random variable.
Consider the number of missed working days during a certain month of 5 employees of a company, 1,1,2,4,7
Mean age of the given data set will be its arithmetical average. Divide the sum of number of missed working days by 5. That is,
Mean number of days missed = 1+1+2+4+7/5
=15/5
=3days
hence mean = 3 days
Consider the formula for the variance for data set
σ² = ∑(X-µ)²/N
Compute the variance of given data set as follows
= 26/5
=5.2
Hence the variance is 5.2
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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting is 8 cm across. Each time he extends the saw out with his arm, there is 5 cm of blade between the handle and the wood. When he pulls the saw toward his self with his arm, the saw handle is 25 centimetres from the wood. Each time he extends his arm out and pulls it back in, 1 second has passed. He starts with his arm extended out. Write an equation that models how far the tip of the saw is from the wood in terms of time.
Answers
Answer:
The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17
Step-by-step explanation:
The given parameters are;
Length of the saw blade = 40 cm
Thickness of the wood across = 8 cm
Length of blade between wood saw handle with hand extended = 5 cm
Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm
Length of blade between wood saw handle with saw pulled inwards = 25 cm
Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm
Time for one complete cycle = 1 second
We note that the basic equation for oscillatory motion is of the form;
x(t) = A·cos(ωt) + d
Where:
A = Amplitude of the motion = (27 - 7)/2 = 10 cm
ω = Angular frequency = 2·π/T
ωt = Motion's phase
t = Time of the motion
d = The middle location = 27 - 10 = 17 cm
T = The time to complete a cycle = 1 s
Therefore;
ω = 2·π
Given that he stars with his arm extended out, we have;
27 = 10×cos(2×π×0) + 17
Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.
The domain of the function given below is the set of all real numbers.
F(x)=[1/2]^x
A.true
B.false
Answers
Answer:
A. true.
The function f(x) = (1/2)^x can take any real number as an input, and the output will always be a real number. Therefore, the domain of the function is the set of all real numbers (-∞, +∞).
Answer:
A) True-------------------------
The given function is \(f(x) = (1/2)^x.\)
To determine whether its domain is the set of all real numbers, we need to examine the function and see if there are any restrictions on x.
In this case, the function is an exponential function with a base of 1/2. Exponential functions with a positive base are defined for all real numbers, as there are no restrictions on the exponent.
Therefore, the statement is true (option A).
Type the missing numbers in this sequence:
-34, , -18, -10, , 6
Answers
-34 + 8 = -26 (which would be your first answer
-10 + 8 = -2 (which would be your second answer)
If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients gives rise to the horizontal asymptote.a. Trueb. False
Answers
The given statement "If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote." is true.
Given information
The given information is " If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote. "
We know that for a rational function having the same degree of the numerator and the denominator the horizontal asymptotes is equal to the ratio of leading coefficients of the numerator to that of the denominator.
Thus, the given statement is true.
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