(7x100)+(4x1/100)+(8x1/1000)

Answer: -3

Step-by-step explanation: DeltaMath

Step-by-step explanation:

4(-6)+5(3)

-24+15

-9

plug in 4 for "b"

plug in -6 for "c"

plug in 3 for "a"

The value of the expression bc + 5a will be - 9.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is,

bc + 5a

And, The values are;

a = 3, b = 4, and c = -6

Now,

Find the value of the expression by substituting all the given values as;

The expression is,

bc + 5a

Substitute a = 3, b = 4, and c = -6 in above expression, we get;

bc + 5a

4 × (-6) + 5 × 3

- 24 + 15

- 9

Thus, The value of the expression bc + 5a will be - 9.

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Answer:

Height = 6 feet

Step-by-step explanation:

Given the following data;

Base area = 25½ ft²

Volume = 153 ft³

To find the height of the right rectangular prism;

Mathematically, the volume of a right rectangular prism is given by the formula;

Volume = base area * height

Substituting into the formula, we have;

153 = 25½ * height

153 = 51/2 * height

Cross-multiplying, we have;

306 = 51 * height

Height = 306/51

Height = 6 feet

Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

\(V = a\times b \times c \: \: unit^3\)

For this case, we're provided that:

Let the length and width of the prism be L ft and W ft

Let the heigth of the prism be H ft

Then, we get:

Thus, we get:
\(H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft\)

Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.

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95% confidence interval for the true population mean watermelon weight. is (69.94, 72.06)

Confidence Interval formula = Mean ± z × Standard deviation/√n

Mean = 71 ounces

Standard deviation = 2.8 ounces

z score = 95% confidence interval = 1.96

Confidence Interval = 71 ± 1.96 × 2.8/√27

= 71 ± 1.96 × 0.5388602512

= 71 ± 1.0561660924

71 - 1.0561660924

= 69.943833908 ounces

Approximately = 69.94 ounces

71 + 1.0561660924

= 72.0561660924 ounces

Approximately = 72.06 ounces

95% Confidence Interval = (69.94, 72.06).

the complete question is

You measure 27 watermelons' weights, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 2.8 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight.

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Answer:

60

Step-by-step explanation:

every angle is the same and 1/3 of 180 is 60

The dimensions of the tank with minimum  weight  is height= 7 and width and length= 14.

The minimum surface area implies that the tank has minimum weight.

Given that the base is square, its width is equal to its length.

Let x= the base width and length of the tank.

Let h = the height .

We are given the volume of the tank that is 1372 ft^3. The formula is given by

V = hx^2

We're given that V = 1,372 ft^3, so

hx^2 = 1,372

h = 1,372 / x^2  ----------(equation 1)

Surface area can be calculated using the below given formula.

A = x^2 + 4xh

Substituting the value of euation 1, h in A, we get,

A = x^2 + 4x(1,372 / x^2)

= x^2 + 5,488 / x

To get the minimum surface area to get the minimum weight, we need to differentiate  A with respect to x and equate it to zero.

dA/dx = 2x - 5,488 / x^2 = 0

2x^3 - 5,488 = 0

x =\(\sqrt[3]{\frac{5,488}{2} }\)

x= 14

We got the value of x, we substitute the value in equation 1, we get the value of h.

h = 1,372 / 14^2

h= 7

So, the dimensions of the tank with minimum weight are width and length is 14 and height is 7.

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The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.

Let X the random variable that represent the diameters of interest for this case, and for this case we know the following info

Where \($\mu=205$\) and \($\sigma=1.5$\)

Let the probability be

\($P(205-0.3=204.7 < \bar{X} < 205+0.3=205.3)$$\)

For this case they select a sample of n = 79 > 30, so then we have enough evidence to utilize the central limit theorem and the distribution for the sample mean can be approximated with:

\($\bar{X} \sim N\left(\mu, \frac{\sigma}{\sqrt{n}}\right)$$\)

To simplify this problem is utilizing the normal standard distribution and the z score given by:

\($z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$$\)

To find the z scores for each limit and we got:

\($z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$$\)

\($z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$$\)

To find this probability:

P(-1.778 < Z < 1.778) = P(Z < 1.778) - P(Z < -1.778)

simplifying the above equation, we get

= 0.962 - 0.0377

= 0.9243

The interest exists the probability that the mean diameter of the sample shafts would vary from the population mean by more than 0.3 inches utilizing the complement rule we got:

P = 1 - 0.9243 = 0.0757

The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.

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To create the desired subplot configuration and plot the given functions, you can use the subplot command along with the plot and title commands in MATLAB. Here's the code:

% Define the x values

x = 0:0.1:2*pi;

% Calculate the y values for each function

y1 = sin(2*x);

y2 = cos(2*x);

y3 = sin(x) + cos(x);

% Create the figure window with subplots

figure;

% Left subwindow

subplot(1,3,1);

plot(x, y1);

title('y1 = sin(2x)');

% Middle subwindow

subplot(1,3,2);

plot(x, y2);

title('y2 = cos(2x)');

% Right subwindow

subplot(1,3,3);

plot(x, y3);

title('y3 = sin(x) + cos(x)');

This code will split the graph window into three subwindows and plot the functions y1 = sin(2x), y2 = cos(2x), and y3 = sin(x) + cos(x) in their respective subwindows. Each subwindow will have a title indicating the corresponding function. The x-axis will range from 0 to 2π with a step size of 0.1.

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The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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Answer:

35+13-36

Step-by-step explanation:

35+13=48

48-36=12

the answer is:

=12

if you need the step by step explanation let me know :)

Yes, linear regression can be used for time series forecasting and that lagged variables yield much more complex models than straight-line ones.

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

With the help of one or more independent variables that can most accurately predict the value of the dependent variable, this type of analysis calculates the coefficients of the linear equation. The differences between expected and actual output values are minimized by linear regression by fitting a straight line or surface.

Therefore, Yes linear regression can be used for time series forecasting and that lagged variables yield much more complex models than straight-line ones.

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Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3(2y - 5)+15 =12

6y - 15 +15 =12

6y=12

y=12:6

y=2

Answer:Submarine, any naval vessel that is capable of propelling itself beneath the water as well as on the water’s surface. This is a unique capability among warships, and submarines are quite different in design and appearance from surface ships.

Step-by-step explanation:

Answer:

Answer:

A.  The temperature of the city and the number of popsicles sold are positively correlated

B.

Slope: 0.1233

Y-Intercept: 6

Step-by-step explanation:

Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.

(90,20)

(40,10)

40-90= -50

10-20= -10

-10/-50= 0.2

Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.

Well look at your graph are the lines going up or down as x increases?

From my assighment it is a increase.

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

The equation is 4y+8=9

The expression is 3-2

The inequality is 7/y < 6

Step-by-step explanation:

If the slope of the line m=-2 and the point on the line (-1/2,1) then the equation of the line in slope-intercept form is y = -2x-2

The slope of the line m = -2

The point on the line = (-1/2,-1)

The point slope form of the equation of the line

\((y-y_{1})=m(x-x_{1})\)

Where m is the slope of the  line

\((x_{1},y_{1})\)  is the point on the line

Substitute the values in the equation

(y-(-1))=-2(x - (-1/2)

y+1 = -2(x + (1/2))

Apply the distributive property here

y+1 = -2x -1

y = -2x-1-1

y = -2x-2

Hence, if the slope of the line m=-2 and the point on the line (-1/2,1) then the equation of the line in slope-intercept form is y = -2x-2

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3.5x+15

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i think

Answer:

\(CB = 7.5\)

Step-by-step explanation:

Well, if the question gave you a right triangle, an angle, and the side length of the side opposite to that angle, this question should scream (TRIGONOMETRY). So tap into your brain and think about how you can use sin, cosine, and/or tangent to solve the problem.

So notice that the question is asking for the side length of CB, the side adjacent to the angle C (53 degrees). Since we already have the length of the side opposite to C (10), we can use tangent, because we know the value of tan58 if we put it in a calculator, and we know the length opposite to C.

\(tan(53) = 10/CB\)

\(CB * tan(53) = 10\)

\(CB = \frac{10}{tan(53)}\)

\(CB = \frac{10}{1.327} = 7.5359...\)

After solving the given inequality 14+4t>t+8≥8+4t the solution is given by 0 ≤ t < -2.

As given in the question,

Given inequality is :

14+4t>t+8≥8+4t

Solve the inequality to get the solution :

14+4t>t+8≥8+4t

Subtract 4t from the inequality we get,

14+4t -4t > t+8 -4t ≥ 8+4t -4t

⇒ 14 > 8- 3t ≥ 8

Subtract 8 from the inequality we have,

14 -8 > -3t ≥ 8 -8

⇒ 6 > -3t ≥ 0

Divide by -3 we get,

0 ≤ -3t /-3 < 6/-3

⇒ 0 ≤ t < -2

Therefore, after solving the given inequality 14+4t>t+8≥8+4t the solution is given by 0 ≤ t < -2.

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Answer:

x= 8

y= -5

z= 0

Step-by-step explanation:

this is the correct answer to this system of equations.

Answer:

yeah

Step-by-step explanation:

Answer: Yes 15-4x and -4x+15 are equivalent.

Step-by-step explanation:

The numbers in these equations can be switched around because addition and subtraction are interchangeable.

15-4x then move -4x in the front

-4x and then add the 15 in the end so

15-4x = -4x+15

Answer:

-7

Step-by-step explanation:

(fog)(-3) = f(g(-3)) = f (2(- 3) - 4) = f(-10) = -10 + 3 = -7

Cheers! Also, mark as brainliest if possible. Thanks

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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The standard error of the sample mean of a given sample of 43 observations with standard deviation 8.85 is equal to 1.35 ( round to 2 decimal places).

As given in the question,

Population mean of the random variable 'μ' = 141

Standard deviation 'σ' = 8.85

Sample size 'N' = 43 observations

Standard error of the sample mean

= σ / √N

= 8.85 / √43

= 8.85 / 6.56

= 1.349

= 1.35 (round to 2 decimal places )

Therefore, for the given standard deviation and sample size the standard error of the sample mean is equal to 1.35.

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Given :-

Find :-

Using Formula

\(\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}\)

Let,

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

A. The value of f(-3) is -26.

B. The solution to the equation f(x) = 4 is x = 9.

C. The inverse function of f(x) is f^(-1)(x) = -0.5x + 6.

In order to find f(-3), we substitute -3 into the function f(x). Therefore, f(-3) = -2(-3-11) - 4 = -2(-14) - 4 = 28 - 4 = -26. So, the value of f(-3) is -26.

To solve the equation f(x) = 4, we set the equation equal to 4 and solve for x. -2(x-11) - 4 = 4. First, we distribute -2 to (x-11), resulting in -2x + 22 - 4 = 4. Combining like terms, we have -2x + 18 = 4. Next, we isolate the variable by subtracting 18 from both sides, giving -2x = -14. Finally, we divide both sides by -2, which gives us x = 7. Thus, the solution to f(x) = 4 is x = 7.

To find the inverse function of f(x), we replace f(x) with y and interchange x and y. Therefore, the equation becomes x = -2(y-11) - 4. First, we distribute -2 to (y-11), which gives x = -2y + 22 - 4. Combining like terms, we have x = -2y + 18. Next, we isolate y by subtracting 18 from both sides, resulting in -2y = x - 18. Finally, we divide both sides by -2, giving us y = -0.5x + 9. Hence, the inverse function of f(x) is f^(-1)(x) = -0.5x + 9.

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Yes, the totals will be the same regardless of which expression is used because addition is commutative and associative.

Both clerks are using different algebraic expressions to find the total, but the expressions are equivalent. They both involve adding 4a, 3g, and -2, but in a different order.

However, since addition is both commutative and associative, the order in which the terms are added does not matter. Therefore, both expressions represent the same mathematical operation, and will yield the same result when evaluated. In other words, the two clerks are essentially solving the same problem in slightly different ways, but the end result will be identical.

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