Answer:
4.5
Step-by-step explanation:
9/5−(−2 7/10)=4.5
Write a function in terms of t that represents the situation.
A stock valued at $100 decreases in value by 9.5% each year.
Y=
Answer:
100-0.095x
Step-by-step explanation:
Select the statment that accurately describles the following pair oftriangles.
Answer:
Similar by SAS.
Step-by-step explanation:
SSS - sides proportional.
AA -Same angles and sides should be proportional. In this case, the angles are different, so they are not similar by sss.
SAS - One equal angle, and sides proportional. Happens here. So the answer is similar by SAS.
Can someone please help me with this? It’s due in an hour
it is b I hope this work for you
write the slope-intercept form of the equation of the line trough the given point with the given slope.
trough : (1, -4), slope= -8
A.y=8x+4
B.y=-8x+4
C.y=4x+8
D.y=3x+8
Given:
Point = (1,-4), Slope - 8
Point = (1,5), Slope =1
To find:
The slope-intercept forms of the given lines.
Solution:
The slope intercept form of a line is:
\(y=mx+b\)
The point slope form is:
\(y-y_1=m(x-x_1)\)
where, m is the slope of the line.
We have, Point = (1,-4), Slope - 8. So, the equation of the line is:
\(y-(-4)=-8(x-1)\)
\(y+4=-8x+8\)
\(y=-8x+8-4\)
\(y=-8x+4\)
Therefore, the correct option is B.
We have, Point = (1,5), Slope =1. So, the equation of the line is:
\(y-5=1(x-1)\)
\(y-5=x-1\)
\(y=x-1+5\)
\(y=x+4\)
Therefore, the correct option is D.
What step is needed to solve this equation: -2 + x = 7?
Answer:
9
Step-by-step explanation:
Add 2 to both sides. Then you get x=9
Answer:
x=9
Step-by-step explanation:
-2+x=7
regroup
x-2=7
Add 2 to both sides
x=7+2
x=9
Hope This Helps.
The quadratic equation is y=ax2 + bx + c.
What would be a formula for b?
Answer:
b=y/x−ax−c/x
Step-by-step explanation:
80 POINTS! Help with this question please!!!! 80 POINTS!
Answer:
C. Translation 5 units left and 2 units down
Step-by-step explanation:
Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).
Look to see if this works for the other two points:
B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.
C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.
Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.
A picture will be shown below of a graph with the points in the table.
We only need to use (5, 2) and (0, 0) to solve this problem.
We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).
Therefore, the answer is [ C. Translation 5 units left and 2 units down ]
Best of Luck!
just designed a cloister (a rectangular garden surrounded by a covered walkway on all four sides). the outside dimensions of the garden are 12 feets by 8 feet, and the area of the garden and the walkway together are 252 square feet. what is the width of the walkway?
The width of the rectangular walkway is 3 feet around.
The walkway has a uniform width around the rectangle.
Let the width of walkway be x
The total length of the garden and walkway will be (12+2x) feet
The total width of the walkway and garden would be (8+2x) feet
Area of the garden and the walkway together are 252 square
Let’s express this mathematically:
(8+2x)(12+2x) = 252
Let’s open the brackets;
96+ 16x+ 24x + 4x^2 = 252
4x^2 + 40x + 96 = 252
4x^2 + 40x + 96-252 = 0
4x^2 + 40x - 156 = 0
Let’s divide all through by 10. We have;
x^2 + 10x -39 = 0
X^2 +13x-3x-39 = 0
x(x + 13) -3(x+ 13) = 0
(x-3)(x + 13) = 0
x -3 = 0 or x + 13 = 0
x = 3 or -13
We ignore x = -13 since width cannot be negative in size
Therefore, the width of the rectangular walkway is 3 feet around.
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Which of the sequences is an arithmetic sequence?
O A. 1, 8, 16, 24, 32, ...
B. -3, -10,-17, -24, -31, ...
C. 3, 6, 9, 15, 24,...
O D. 1,-2, 3, -4, 5, ...
Answer:
Answer B as the difference between the values is the same
Help please I have to get on the regular one soon
Answer:
1. 2x + 8y = 10xy
2. 13ab + 15ab = 28ab
Step-by-step explanation:
This is because for question 2 the "a" and "b" stay together since it's on 13 and 15. So that is why you would get 28ab. For question 1 it's basicly the same but instead, you combine the two to get your answer.
Hope this helps.
Answer:
O.O
Step-by-step explanation:
CHEEEEESEEEEEEEEEE
Write an equation in slope-intercept form for the line with slope
\( - \frac{3}{2} \)
and y-intercept 5.
The equation in slope-intercept form for the line is y = -3/2x + 5.
We have,
In slope-intercept form,
The equation of a line is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis).
Given that the slope is -3/2 and the y-intercept is 5, we can substitute these values into the equation to obtain:
y = -3/2x + 5.
This equation tells us that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 3/2 units.
The y-intercept of 5 indicates that the line passes through the point (0, 5).
Thus,
The equation in slope-intercept form for the line is y = -3/2x + 5.
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6 cm 4 cm 10 cm What is the surface area of the figure?
Answer:
248 cm^2
Step-by-step explanation:
in order to get the figures surface area you only need to find the area of all 6 sides
in this case the two ends are 4 by 6
the front and back are 10 by 6
and the top and bottom are 10 by 4
this would mean that we need to multiply
(4*6)*2
(10*6)*2
(10*4)*2
which would look like
(4*6)*2= (24)*2= 48
(10*6)*2= (60)*2=120
(10*4)*2= (40)*2=80
and finally the sum of the equations is the surface area of the figure
48+120+80=248
Tracy bought 2 cans of paint and 7 1/3 pints of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Answer:
3 2/3 pint
Step-by-step explanation:
First break down the mixed number to divide (into 7 and 1/3)
7 divided by 2 is 3.5 (Convert 3.5 to sixths)
1/3 divided by two is 1/6
1/6 + 3 3/6= 3 4/6 OR 3 2/3
Hope this helps! :)
Let R be a ring and r1,...,rn ∈ R. Prove that the subset ={λ1r1 +···+ λnrn | λ1,...,λn ∈ R} is an ideal in R.
Since S satisfies both defining properties of an ideal in R, we can conclude that S is indeed an ideal in R.
To prove that the subset S = {λ1r1 +···+ λnrn | λ1,...,λn ∈ R} is an ideal in R, we need to show that it satisfies the two defining properties of an ideal:
1. S is a subgroup of R under addition.
2. S is closed under multiplication by elements of R.
First, let's show that S is a subgroup of R under addition.
- Closure under addition: Let x,y ∈ S, so that x = λ1r1 + ··· + λnrn and y = μ1r1 + ··· + μnrn for some λi,μi ∈ R. Then their sum is x + y = (λ1 + μ1)r1 + ··· + (λn + μn)rn, which is in S since each coefficient is still in R.
- Additive inverse: Let x ∈ S, so that x = λ1r1 + ··· + λnrn for some λi ∈ R. Then its additive inverse is -x = (-λ1)r1 + ··· + (-λn)rn, which is also in S since each coefficient is still in R.
Therefore, S is a subgroup of R under addition.
Next, let's show that S is closed under multiplication by elements of R.
- Closure under left multiplication: Let r ∈ R and x ∈ S, so that x = λ1r1 + ··· + λnrn for some λi ∈ R. Then their product is rx = (rλ1)r1 + ··· + (rλn)rn, which is in S since each coefficient is still in R.
- Closure under right multiplication: This follows from the distributive property of multiplication over addition.
Therefore, S is closed under multiplication by elements of R.
Since S satisfies both defining properties of an ideal in R, we can conclude that S is indeed an ideal in R.
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PLEASE I AM IN DESPERATE NEED OF HELP
Find each exact value if 0
Sin (x - y) if cos x = 8/17 and cos y = 3/5
Work Shown:
If cos(x) = 8/17, then sin(x) = 15/17. Use the identity \(\sin^2(\text{x}) + \cos^2(\text{x}) = 1\) to determine this.
If cos(y) = 3/5, then sin(y) = 4/5 using that same identity.
So,
sin(x-y) = sin(x)cos(y) - cos(x)sin(y)
sin(x-y) = (15/17)*(3/5) - (8/17)*(4/5)
sin(x-y) = 45/85 - 32/85
sin(x-y) = (45 - 32)/85
sin(x-y) = 13/85
Write the following expression in exponential form: 8x8x8x8x3x3
Answer:
It is: 8^4 times 3^2 = 36,864
Answer:
8^4 x 3^2
Step-by-step explanation:
There's 4 8's and 2 3's so that's the number the exponents will be
use property 8 to estimate the value of the integral.y tanxdx
Answer:
he value of the integral ∫ y tan(x) dx is y sin(x) + C.
Step-by-step explanation:
Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).
In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).
Now, integrating with respect to y while treating sin(x) as a constant, we get:
∫ y d(sin(x)) = y sin(x) + C,
where C is the constant of integration.
So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.
geometry help greatly needed asap. please help me i would be so thankful.
Answer: b
Step-by-step explanation: 92-b which is 48 will equal 44 and that will give you the answer for x
are my answers correct
Answer:
yesn't
Step-by-step explanation:
Answer:
yes last Friday i did this and i do it the same i got it correct.
Step-by-step explanation:
Started: Sep 10 at 2:13pm
Quiz Instructions
Complete the following for your daily assignment
tion
Question 2
Solve:
32x= 12
е
Answer:x=6
Does this help ?
Step-by-step explanation:
Answer:
0.375
Step-by-step explanation:
Divide each term by
32
and simplify.
Exact Form: x=3/8
Decimal Form: x= 0.375
Trey was playing a board game in which he purchased 8 houses.He payed 100 dollars for each house.Which equation can be used to find m the total amount of money he spent on buying houses?
Answer:
8x100 = m
Step-by-step explanation:
8x100 is an equation to find m, because 100 each, and there are 8.
8x100 = m
a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50
Answer:
Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Step-by-step explanation:
Question 4 0/3 pts Suppose the correlation between X1 and X2 is -0.9. What can we say about the regression model Y ~ X1 + X2? Please select all that apply. It's possible that there is only one correct answer. The estimated value of the slope of X1 may be very different from the true value of the slope. There is collinearity in the regression model. The variance of the slope estimator of X1 is increased due to the correlation between X1 and X2.. The variance of the slope estimator of X2 is decreased due to the correlation between X1 and X2.
The correct statement for the correlation between X1 and X2 is -0.9 are the estimated value of the slope of X1 may be very different from the true value of the slope and there is collinearity in the regression model. Options A and B are the correct answer.
A high correlation between X1 and X2 indicates that these variables are highly related and may contain similar information. This means that including both variables in the regression model may lead to collinearity, which can cause problems in estimating the true effects of each variable on the outcome Y.
In particular, when there is collinearity in the model, the estimated value of the slope of X1 may be very different from the true value of the slope. This is because the collinearity makes it difficult to distinguish the effects of X1 and X2 on the outcome, leading to large standard errors and reduced precision in the estimation.
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The question is -
Suppose the correlation between X1 and X2 is -0.9. What can we say about the regression model Y ~ X1 + X2?
Please select all that apply. It's possible that there is only one correct answer.
a. The estimated value of the slope of X1 may be very different from the true value of the slope.
b. There is collinearity in the regression model.
c. The variance of the slope estimator of X1 is increased due to the correlation between X1 and X2.
d. The variance of the slope estimator of X2 is decreased due to the correlation between X1 and X2.
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Which statement best describes the table?
thankss :)
onsider the indefinite integral then the most appropriate substitution to simplify this integral is
Finally, we can integrate each term of this expression to obtain the solution to the original indefinite integral. The final solution is (1/2)x - (1/2)ln(x² + 1) + C, where C is the constant of integration.
To solve the indefinite integral of the given function, we need to make use of substitution. One of the most appropriate substitutions for this integral is u = x² + 1. By making this substitution, we can simplify the integral to the point where we can apply the power rule of integration. The derivative of u with respect to x is du/dx = 2x. Therefore, we can express dx in terms of du by multiplying both sides of this equation by dx/2. This gives us dx = du/2x. Substituting this into the original integral, we get ∫(x²)/(x²+1) dx = ∫(u-1)/(2u) du. We can simplify this expression to get ∫(1/2) - (1/2u) du. Overall, this substitution allows us to simplify the integral and arrive at a more manageable form. This demonstrates the power and utility of using substitution when dealing with complex integrals.
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In 25.5 minutes, Shaun can run 3 miles. How far can he run in 30 minutes?
Answer:
28.8 miles
Step-by-step explanation:
Answer:
28.8. hdhrhdndndndndhux
4. Given two fair dice, find the probability of rolling a sum of 8 on the
two dice.
To easily find the number of ways to get a sum of 8, one should create.
Convert the following from vertex form to standard form
Answer:
option 3
Step-by-step explanation:
Answer:
-3x²+12x-16
Step-by-step explanation:
-3(x-2)²-4
expand (x-2)² first = (x-2)(x-2) = x²-2x-2x+4 or x²-4x+4
distribute -3
-3(x²-4x+4) = -3x²+12x-12-4
= -3x²+12x-16