Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.

Answer:

X= 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 10x = 4 ( add 10x to the left side and subtract 10x from the right)

3x - 8 = 4 ( add -7x and 10x to get 3x)

3x = 4 + 8 ( add 8 to the right and subtract 8 from the left)

3x = 12 ( add 4 and 8 to get 12 )

\(\frac{3x}{3}\) = \(\frac{12}{3}\) ( divide both sides by 3 )

x = 4

The answer is x =4

HOPE THIS HELPED

ANSWER

Melanie uses 31 and a half pencils per hour

EXPLANATION

If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour:

Answer:

7) Option A

10) Option J

Step-by-step explanation:

7). From the graph attached,

  Coordinates of S → (-5, 6)

  Coordinates of U → (2, -6)

  If the given points are reflected by the rule,

  (x, y) → (-x, y)

  [Change the sign of x - coordinates of S and U]

  Coordinates of S' → (5, 6)

  Coordinates of U' → (-2, -6)

  Option A will be the answer.

10). Coordinates of the vertices of the ΔXYZ,

   X → (6, 9)

   Y → (9, 5)

   Z → (4, 5)

If the vertices of this triangle are translated 3 units left and 4 units down,

  Rule for the image points will be,

  (x, y) → (x - 3, y - 4)

  By this rule coordinates of the image points will be,

  X(6, 9) → X'(3, 5)

  Y(9, 5) → Y'(6, 1)

  Z(4, 5) → Z'(1, 1)

Therefore, Option J will be the answer.

Answer:

2 days!

Step-by-step explanation:

So, we have 50 + 35x = 70 + 25x.

Solving, we obtain 10x = 20, so x = 2.

Your answer is 2 days.

If this answer helped you, please tell me! :)

Tthe function f(x) = -5 * (x^4/4) has a derivative f'(x) = -5x^3 and the line y = 0 is tangent to its graph at x = 0

Given

f′(x) = −5x³ and the line y = 0 is tangent to the graph of f.

Here is how to calculate a function f satisfying these conditions. To calculate the function f, we need to integrate the given derivative f′(x) = −5x³ with respect to x.

So,

∫f′(x) dx = ∫(−5x³) dx

⇒ f(x) = −5(x⁴/4) + C, where C is a constant of integration.

If the line y = 0 is tangent to the graph of f, it means the graph of f intersects the x-axis at some point (a, 0) such that

f′(a) = 0.

That is, the slope of the tangent line to the graph of f at x = a is 0.

Substituting x = a in f′(x) = −5x³,

we get

f′(a) = −5a³ = 0

⇒ a = 0

So, the point (a, 0) is (0, 0).

Thus, f(0) = 0.

We can use this information to calculate the constant of integration C.

To find this, we can equate the function f(x) to zero and solve for x:

-5 * (x^4/4) + C = 0

Simplifying the equation, we have:

x^4/4 = C

Now, since the line y = 0 is tangent to the graph of f, the derivative of f(x) at the point of tangency should be zero.

Taking the derivative of f(x), we get:

f'(x) = -5x^3

Setting f'(x) = 0, we have:

-5x^3 = 0

Solving for x, we find x = 0.

Therefore, the function f(x) = -5 * (x^4/4) has a derivative f'(x) = -5x^3 and the line y = 0 is tangent to its graph at x = 0.

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12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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The intersection points of the line who equation is y = -2x + 1 and the circle whose equation is x² + (y + 1)² = 16 are (2.4, -3.8) and (-0.8, 2.6).

Given a circle and a line.

We have to find the intersection points of these.

We have the equation of circle,

x² + (y + 1)² = 16

And the equation of the line,

y = -2x + 1

Substituting the value of y to x² + (y + 1)² = 16,

x² + (-2x + 1 + 1)² = 16

x² + (-2x + 2)² = 16

x² + 4x² - 8x + 4 = 16

5x² - 8x - 12 = 0

Using quadratic formula,

x = [8 ± √(16 - (4 × 5 × -12)] / 10

  = [8 ± √256] / 10

  = [8 ± 16] / 10

x = 2.4 and x = -0.8

y = (-2 × 2.4) + 1 = -3.8 and y = (-2 × -0.8) + 1 = 2.6

Hence the intersecting points are (2.4, -3.8) and (-0.8, 2.6).

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Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

Using the vertex of the quadratic equation, it is found that the car had the least value in the year of 1964.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

\(x_v = -\frac{b}{2a}\)

\(y_v = -\frac{b^2 - 4ac}{4a}\)

Considering the coefficient a, we have that:

In this problem, the equation is:

\(V(x) = 21.1x^2 - 379.3x + 3000\)

Hence the coefficients are a = 21.1, b = -379.3, c = 3000, and the minimum value is in x years after 1955, considering that:

\(x_v = -\frac{b}{2a} = \frac{379.3}{42.2} \approx 9\)

The car had the least value in the year of 1964.

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Answer:

The answer should be option B

it's easy

Step-by-step explanation:

use the formula for finding a slope and equate it to 7

There are 5 possible ways for the ride to begin.

The ferris wheel has 5 cars with 4 seats in each car, making a total of 20 seats. If there are 20 people ready for the ride, then each car can have 4 people. Therefore, there are 5 possible ways for the ride to begin.

If two certain people want to sit in different cars, then there are 4^2 (4x4) combinations of cars for these two people. This gives us 16 possible ways for the ride to begin.

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The 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38.

The conditions that must be met to construct a 90% confidence interval for the mean amount of dollars spent by Apple customers are: (1) the sample is a random sample, (2) the sample size is greater than 30 or the population standard deviation is known, and (3) the population distribution is approximately normal or the sample size is large enough to apply the Central Limit Theorem.

The critical value we would use in the formula to construct a 90% confidence interval with a sample size of 38 is 1.645. This value can be found using a t-distribution table with 37 degrees of freedom and a confidence level of 90%.

The standard error we would use to calculate this confidence interval is $27.85. This can be calculated using the formula: standard error = (sample standard deviation) / sqrt(sample size) = $170.89 / sqrt(38) = $27.85.

Therefore, the 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38. This can be calculated using the formula: sample mean +/- (critical value) x (standard error) = $1353.99 +/- (1.645) x ($27.85) = $1293.60 to $1414.38. We can be 90% confident that the true population mean amount of dollars spent by Apple customers falls within this interval.

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Answer:

55

Step-by-step explanation:

ergwrthrthteyjet

1 times 55 equals 55

Answer:

Step-by-step explanation:

x=1 and y=1

Step-by-step explanation:

y=6x-8

3x=10-y

y=2(10-y)-8

3x=10-y

2y=12

3x=10-y

y=6

3x=4

y=6

x=4/3

3y+2=14

Subtract 2 from both sides.

3y=12

Divide 3 from both sides.

y=4

Now for the second part. We'll do the same process as the first one.

x+7=19

 -7   -7

x=12

---

hope it helps

Answer:

x = -8

I hope this helps!

Answer:

It is B and your welcome

Step-by-step explanation:

Answer:

No Solutions: 7x + 3

One Solution: 6x + 3

Infinitely Many Solutions: 7x + 2

Step-by-step explanation:

Based on the given equations and the conditions provided, let's determine the fill-in values for each case:

No Solutions:

5 - 4 + 7x + 1 = x +

To have no solutions, the lines should be parallel. So, we can fill in any numbers that satisfy the condition:

5 - 4 + 7x + 1 = 7x + 3, where the fill-ins are 7x + 3.

One Solution:

5 - 4 + 7x + 1 = x +

To have exactly one solution, the lines should not be parallel or coincide. So, we can fill in any numbers that satisfy the condition:

5 - 4 + 7x + 1 = 6x + 3, where the fill-ins are 6x + 3.

Infinitely Many Solutions:

5 - 4 + 7x + 1 = x +

To have infinitely many solutions, the equation should be in the form of Ax + By + C = (7x + 5y + 1) x n, where n is an integer. So, we can fill in any numbers that satisfy the condition:

5 - 4 + 7x + 1 = 7x + 2, where the fill-ins are 7x + 2.

Therefore, the fill-in values for each case are:

No Solutions: 7x + 3

One Solution: 6x + 3

Infinitely Many Solutions: 7x + 2

The demand for various seasons can be predicted using regression on the given data.

The following table shows the seasonal demand for two years, 2011 and 2012.

SEASON ACTUAL DEMAND (Y) 2011 Spring 201 Summer 148 Fall 378 Winter 562 2012 Spring 473 Summer 269 Fall 678 Winter 958Where Y = Actual DemandThe following is the linear regression model:Y = a + X where X = Year and Y = DemandFor the given data, the following regression equations can be determined as follows:Spring: Y = -10.7 + 235.3XSummer:\(Y = -202.4 + 236.5XFall: Y = 383.5 + 146.6XWinter: Y = 576.5 + 206.7X\)

Step 3: Perform the regression analysis using the statistical software or the tool of your choice.

The regression equation will help determine the relationship between the season and demand.

The regression equation will have the following form: Demand = β0 + β1 * Season

The coefficients β0 and β1 represent the intercept and slope of the regression line, respectively.

The regression analysis will provide the estimated values for β0 and β1, allowing you to predict the demand for any given season in the future.

Please note that since you haven't provided additional details or specific instructions, this is a general guideline on how you can use regression to analyze the historical demand data.

The specific analysis and interpretation may vary based on the software or tools you choose to use.

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Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060

each dish costs two dollars.

When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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Answer:

77.69 + 24.50=102.19

Step-by-step explanation:

<3

Answer:

odd number

Step-by-step explanation:

am pretty sure

Answer:

114 is just like any other number. It is just bigger than anything lower than that number. They is no difference within this number and any other number.

Step-by-step explanation:

Answer:

B. 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle \frac{3 \sqrt{20}}{\sqrt{5}}\)

Step 2: Simplify

Answer:

option D is correct

x=O and x=-8

Answer:

they are all real.

B and C are rational

A, D, E, and F are irrational

Step-by-step explanation:

The following proportion by cross multiplying:

( x + 2 ) / 6 = ( x - 4 ) / 3 is -19

Given:

( x + 2 ) / 6 = ( x - 4 ) / 3

( x + 2 )=2(x-4)

x+2=2x-8

x=-10

If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.

Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.

This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.

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