Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
x equals -3
Hope this helps :)
Step-by-step explanation:
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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Suppose that $6000 is placed in a savings account at an annual rate of 4%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the account to grow to $8670?
The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.
Given the amount of money that is the principal = $6000
Rate = 4% compounded quarterly.
Time = t
Amount = $8670
Now we know that the amount is calculated by the formula:
A = P(1+r/4)ⁿ
8670 = 6000(1+0.01)ⁿ
Hence
log 1.445 = n log 1.01
or, n = 36.99
Number of years = 36.99 / 4 = 9.24 years.
The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.
If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.
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What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
y = 5
2x − 4y = –10
( _ , _ )
PLUG 5 IN THE PLACE OF Y AND SOLVE FOR X
\(2x - 4(5) = - 10 \\ 2x - 20 = - 10 \\ 2x = - 10 + 20 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5\)
SINCE WE FOUND THAT x=5
we have the pair
(5,5)
hi lol help me in math pls
Answer:
The answer is y+3/12
Step-by-step explanation:
Subtract fractions, find the LCD and then combine.
Hoped this helped!
Could I perhaps have brainly?
5. Dilate about the origin using a scale factor of 2.
A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2)
Post Image Coordinates: A’______B’______ C’_______ D’______
6. Dilate about the origin using a scale factor of 4.
A (1, -1.5) B (2, -2.5) C (1, -3.5)
Post Image Coordinates: A’ ________ B’ ________ C’ ________
A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2) it dilated by a factor of 2, we will multiply the coordinates by 2 to have A'(7, -10) B (24, 8) C(14, 6) D (12,16)
If the coordinate points A (1, -1.5) B (2, -2.5) C (1, -3.5) is dilated by a factor of 4, the resulting coordinates will be A'(4, -6) B'(8, -10) C'(4, -14)
Dilations and scale factorsDilations is a transformation technique used to enlarge or diminish an image.
Given the coordinate points A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2) it dilated by a factor of 2, we will multiply the coordinates by 2 to have:
A'(7, -10) B (24, 8) C(14, 6) D (12,16)
Similarly if the coordinate points A (1, -1.5) B (2, -2.5) C (1, -3.5) is dilated by a factor of 4, the resulting coordinates will be A'(4, -6) B'(8, -10) C'(4, -14)
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Draw the image of the following quadrilateral after a dilation centered at the origin with a scale factor of 1/3 lost the coordinates below
The drawing of the quadrilateral P(-3, 0), N(6, 0), O(3, -6), and M(3, 9) and the drawing of the image, of the quadrilateral with vertices, P'(-1, 0), N'(2, 0), O'(1, -2), and M'(1, 3), following a dilation by a scale factor of 1/3, created with MS Excel.
What is a dilation transformation?The coordinates of the vertices of the quadrilateral are;
P(-3, 0), N(6, 0), O(3, -6), M(3, 9)
The coordinates of the image of a point (x, y) following a dilation by a scale factor of c are; (x·c, y·c)
The coordinates of the image following a dilation by a scale factor of 1/3 therefore, are;
P(-3, 0) dilation by a scale factor of 1/3 → P'(-3/3, 0/3) = P'(-1, 0)
N(6, 0) dilation by a scale factor of 1/3 → N'(6/3, 0/3) = N'(2, 0)
O(3, -6) dilation by a scale factor of 1/3 → O'(3/3, -6/3) = O'(1, -2)
M(3, 9) dilation by a scale factor of 1/3 → M'(3/3, 9/3) = M'(1, 3)
The coordinates of the quadrilateral following the dilation transformation are; P'(-1, 0), N'(2, 0), O'(-2, 0), M'(1, 3)
Please find attached the drawing of the image of the quadrilateral MNOP, following the dilation of a scale factor of 1/3
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17. Consider the function f(x, y, z) = xy ln(yz).
Compute the following partial derivatives:
(a) fx =
(b) fy =
(c) fz =
We can expand
\(f(x,y,z) = xy\ln(yz) = xy \ln(y) + xy\ln(z)\)
Then using the product and chain rules,
\(\dfrac{\partial f}{\partial x} = y\ln(y) + y\ln(z) + \boxed{y\ln(yz)}\)
\(\dfrac{\partial f}{\partial y} = x\ln(y) + \dfrac{xy}y + x\ln(z) = \boxed{x\ln(yz) + x}\)
\(\dfrac{\partial f}{\partial z} = \boxed{\dfrac{xy}z}\)
Can anyone help? Look at image below
Linear Scale Factor:
1) Enlargement. Scale Factor = 18/6 = 3
2) Reduction. Scale factor = 6/12 = 1/2
Which equation is represented by the graph?
A:
y= (£-1)+3
B:
4=(¢- 32+1
C:
9=-¢+32_1
D:
4=-¢- 32+1
Answer:
C: y = -(x +3)² -1
Step-by-step explanation:
You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.
Vertex formFor vertex (h, k), the vertex form equation of a parabola is ...
y = a(x -h)² +k
Given that (h, k) = (-3, -1), the equation will have the form ...
y = a(x -(-3))² + (-1)
y = a(x +3)² -1 . . . . . . . . . . matches choice C
The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.
y = -(x +3)² -1
__
Additional comment
Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.
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The radius of a circles is 5.24 ft. Determine the circumference of the circle.
Answer:
32,82 ft
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr.
In this case the circumference is C = 2π(5.24 ft), or approximately
32,82 ft
a simple random sample of size n is obtained from a population whose size is and whose population proportion with a specified characteristic is describe the sampling distribution of . round the standard deviation of the sampling distribution to three decimal places.
The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.
The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\).
Sampling Distribution of a Simple Random SampleRound the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).
The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).
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Find the percent ofincrease from 290 to 490.
Determine the percent increase.
\(\begin{gathered} \frac{490-290}{290}\times100=\frac{200}{290}\times100 \\ =0.68965\times100 \\ =68.965 \\ \approx68.97 \end{gathered}\)Thus, percent increase of number is 68.97%.
hooke’s law states that the extension or elastic string beyond its natural length as the force applied. if a weight of 9 9 pounds attached to s spring causes it to a length of 20 inches?
Answer:
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What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5
Answer:
See belowStep-by-step explanation:
Given system:
8x - 4y = -4 -3x + 4y = 5Subtracting the second equation from the first:
8x - 4y - (-3x + 4y) = -4 - 58x + 3x - 4y - 4y = -911x - 8y = -9It ends here
============================
Would be better to add the equations to eliminate y and solve the system:
8x - 4y + (-3x + 4y) = -4 + 55x = 1x = 0.2Find y:
8*0.2 - 4y = -44y = 1.6 + 44y = 5.6y = 1.4Solution (0.2, 1.4)
Find the volume of the rectangular prism
Answer:
What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.
Thanks!
Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).
Admission to the zoo costs $15 per person.
The graph y = 15x correctly represents the total cost for a group to visit the zoo.
Given;
Admission to the zoo costs per person = $15
Let:
The total number of people visiting the zoo = x
The total cost for a group to visit the zoo = y
So, y ∝ x
y = 15x
Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.
Answer:
A
Step-by-step explanation:
This year a train ticket costs £24.97
Last year a train ticket for the same journey cost £22.70
Write this year’s cost as a percentage of last year’s cost.
Answer:
10%
Step-by-step explanation:
24.97 - 22.70=2.27
Increased price÷initial price×100%
2.27÷22.70×100%=10%
Solve.
17x = 3
A. x = 0.18
B. x = 5.67
C. x = 14
D. x = 21
x will be equals to 0.18.
Given,
17x = 3
Now to solve for x
x = 3/17
x = 0.176
Approximate the value of x
x = 0.18
Hence option A will be correct.
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the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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Courtney sold 48 cantaloupes at the farmers' market and had 25 left. Which equation could be used to find x, the number of cantaloupes Courtney had originally?
Answer:
48+25=x
Step-by-step explanation:
Answer:
The answer is D :)
Thank me later.
what is the y intercept of a line that has a slope of one four and passes through the point eight three
what is the y intercept of a line that has a slope of one four and passes through the point eight three
step 1
Find the equation of the line in slope intercept form
y=mx+b
we have
m=1/4
point (8,3)
substitute
3=(1/4)*(8)+b
solve for b
3=2+b
b=3-2
b=1
therefore
the y-intercept is 1does anybody know how to do the rest of this? also I'll give brainliest ;p
Answer:
I what you gotta do is this where they say subtract previous temperature from current temperature all you have to do is on that row subtract the temperature written there from the one directly above it that is all I can advise you to do that is what it means also in the other one that says the same thing that's all you have to do nothing more nothing less
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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What’s 12 3/4+17/2+5 4/6
A certain race is a distance of 24 furlongs. How far is the race in (a) miles? (b) yards?
what is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)
Of those who prefer strawberry ice cream, what ratio are female? (DO NOT SIMPLIFY)
Answer:
The answer is 15/37.
Step-by-step explanation:
There are 15 girls who like starwberry icecream, and the total of girls is 37.
So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.
Solve the system.
2x + y + 3z = 20
X + 2y - z = -11
3x - 2z = -3
Enter your answer as an ordered triple.
The solution to the system, as an ordered triple is: (3, -4, 6).
How to Solve a System of Equations?To solve the following given system of equations:
2x + y + 3z = 20 --> eqn. 1
x + 2y - z = -11 --> eqn. 2
3x - 2z = -3 --> eqn. 3
Multiply equation 1 by 2 to get eqn. 4:
4x + 2y + 6z = 40 --> eqn. 4
Subtract eqn. 4 from eqn. 2:
x + 2y - z = -11 --> eqn. 2
4x + 2y + 6z = 40 --> eqn. 4
-3x - 7z = -51 --> eqn. 5
Add equations 3 and 5 together:
3x - 2z = -3 --> eqn. 3
-3x - 7z = -51 --> eqn. 5
-9z = -54
z = -54/-9
z = 6
Substitute the value of z into equation 5:
-3x - 7(6) = -51 --> eqn. 5
-3x - 42 = -51
-3x = -51 + 42
-3x = -9
-3x/-3 = -9/-3
x = 3
Find the value of y by substituting the values of x and z into equation 1:
2(3) + y + 3(6) = 20 --> eqn. 1
6 + y + 18 = 20
24 + y = 20
y = 20 - 24
y = -4
The solution as an ordered triple is: (3, -4, 6).
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The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110
Answer:
c) 135
Step-by-step explanation:
dog ratio is 3
45 ÷ 3 = 15
therefore ratio 1 is 15
ratio 9
9×15 = 135
If f(x) = 2x and g(x) = 3x² , find
a. (f + g) (x)
b. (f-g) (x)
c. (f . g) (x)
d. (f / g)
The values of the functions are simplified as:
a. (f + g)(x) = 3x² + 2x
b. (f - g)(x) = 3x² - 2x
c. (f + g)(x) = 6x³.
d. (f/g)(x) = 2/3x
How Evaluate the Equations of Functions?Given the functions f(x) and g(x) has the expressions:
f(x) = 2x
g(x)= 3x²
To find the value for the various equations of the given functions, we would substitute the functions into the given expression in each case as explained below.
a. Substitute the expressions of the functions f(x) and g(x) into (f + g)(x):
(f + g)(x) = 2x + 3x²
Rewrite in standard form
(f + g)(x) = 3x² + 2x
b. Substitute the expressions of the functions f(x) and g(x) into (f - g)(x) and simplify:
(f - g)(x) = 2x - 3x²
Rewrite in standard form
(f - g)(x) = 3x² - 2x
c. Substitute the expressions of the functions f(x) and g(x) into (f * g)(x), and simplify the equation:
(f * g)(x) = (2x) * (3x²)
(f * g)(x) = 6x³
d. Substitute the expressions of the functions f(x) and g(x) into (f/g)(x):
(f/g)(x) = 2x/3x²
(f/g)(x) = 2/3x
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