The formula for the area of a square is A=s^2. What is a formula for finding s when A is known

Answer:

900

Step-by-step explanation:

3000÷10

or,300=7/10

900

Answer:

The outcome table was not given. But find below how to find the experimental probability

Step-by-step explanation:

Experimental Probability = number of times you rolled a three  /   the number of times you rolled the die itself.

The exact value of tan(S) in simplest radical form is 2/(√42).

Given,

ST = √42 (opposite side to angle S)

TU = 2 (adjacent side to angle S)

US = √46 (hypotenuse of the triangle)

To find the value of tan(S), we need to determine the ratio of ST to TU.

In triangle it is mentioned that the angle of each.

Now, we can calculate the value of tan(S):

tan(S) = TU / ST

tan(S) = 2 /(√42)

Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).

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Answer: 1884 cm³

Step-by-step explanation:

cylinder volume = π · r² · h

π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³

Answer:

D. 80x + 70 = 390

Step-by-step explanation:

80 times x (the degrees it heats up per minute times the number of minutes) + 70 (the degrees the oven was already at) = 390 (the number of degrees the oven needs to preheat to.)

This is the only answer that makes sense.

Hope this helps! :D

Also, where can I buy an oven that heats up this fast? XD

The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).

What is interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .

Given exponential function is f(x) = B^x.

A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.

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Answer:

Y=5/1x+15

Step-by-step explanation:

I know this is old, but no one answered it so I thought I would

A fair coin is flipped 40 times. The probability of getting a head when the coin is tossed is 0.5. If the same coin is flipped 40 times, the probability will remain 0.5. That is, there are equal chances of getting heads and tails when a fair coin is flipped.

Based on the confidence interval, if the actual proportion of heads falls within the range of the confidence interval, it can be said that the coin used was fair. If the actual proportion is outside the confidence interval, it may be an indication that the coin was not fair.

The level of confidence is typically 95% or 99%. If a confidence interval is constructed for the proportion of heads based on a sample of 40 flips and the interval includes the expected proportion of 50%, it can be said that the coin used was fair. If the interval does not include 50%, there is evidence that the coin may not be fair.

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Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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There are a total of 360 seats in the first 15 rows.

Given that a concert hall had 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth.

We are to find the total number of seats in the concert hall.

Let us write the number of seats in the consecutive rows in a sequence as follows :

10,  12,  14,   .   .   .

If a(n) denotes the number of seats in the n-th row, then we see that

a(2)-a(1)=12-10=2

a(3)-a(2)=14-12=2

.     .

.     .

So, there is a common difference of 2 in the consecutive terms of the given sequence. That is, the sequence is an arithmetic one.

The total number of seats will be equal to the sum of the first 15 terms of the sequence. We know that

the sum of the first n terms of an ARITHMETIC sequence with first term a and common difference d is given by

\(S_{n}=\frac{n}{2} (2a+((n-1)d)\\\)

In our sequence, a = 10  and d = 2.

So, the sum of the first 15 terms will be

\(S_{15} =\frac{15}{2} (2*10+(15-1)*2)\\\\S_{15} =\frac{15}{2} (20+28)\\\\S_{15} =\frac{15}{2} (48)\\\)

S15=360

Thus, there is a total of 360 seats in the auditorium.

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Answer:

13 ( 2 x − 1 )

Step-by-step explanation:

Factor  13  out of  26 x − 13

Answer:

13 ( 2x-1 ) hope this helps !!!!

Step-by-step explanation:

Answer:

y=3x-1

Step-by-step explanation:

The first one because there is only one y value for every x value. The correct option is first.

To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.

In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.

Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.

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The matrix A = -3 1 2 -3 4 is invertible for all values of h. The determinant is not considered here.

A matrix is considered invertible if and only if its determinant is non-zero. In this case, we are told that we cannot consider the determinant to find if the matrix A = -3 1 2 -3 4 is invertible.

However, we can still find the necessary conditions for invertibility of the matrix A. A matrix A is invertible if and only if it is a square matrix and its rows (or columns) are linearly independent. This means that if we take any linear combination of the rows (or columns) of A, the result must be a zero vector.

Let's find the conditions for the matrix A = -3 1 2 -3 4 to be invertible.

Suppose we have a vector x = h 1 k , where h and k are constants.

The product of the matrix A and the vector x must be equal to the zero vector:

-3h + k = 0

2h - 3k = 0

Solving the above system of linear equations, we can see that h = 0 and k = 0 are the only solutions. This means that the rows of the matrix A are linearly independent, and therefore the matrix A is invertible if and only if the only solution to the system of linear equations is the trivial solution.

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The equation of the line normal to the curve y = square root(3x² + 2x) at point (2,4) is given as follows:

y - 4 = -4/7(x - 2).

The equation of the line normal to a curve follows the point-slope definition of a linear function, given as follows:

y - y' = m(x - x').

The function in this problem is defined as follows:

y = square root(3x² + 2x).

Then the derivative of the function, applying the chain rule, is given as follows:

y' = (6x + 2)/(2 x square root(3x² + 2x))

y' = (3x + 1)/square root(3x² + 2x)

At x = 2, the numeric value of the derivative is of:

y' = 7/square root(16) = 7/4.

The slope of the normal line is calculated as follows:

m x 7/4 = -1

m = -4/7.

(as the normal line is perpendicular to the tangent line, which has slope equals to the numeric value of the derivative at the point).

The coordinates of the point at (2,4), hence:

x' = 2, y' = 4.

Then the definition of the normal line is given as follows:

y - 4 = -4/7(x - 2).

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The solution to the equation -2.5(4x - 4) = -6 is x = 1.6

From the question, we have the following parameters that can be used in our computation:

-2.5(4x - 4) = -6

Open the bracket using the Distributive Property

So, we have the following representation

-10x + 10 = -6

Subtract 10 from both sides of the equation

-10x = -16

Divide both sides by -10

x = 1.6

Hence, the solution is x = 1.6

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The given lines are parallel to each other because there slope are equal of each other.

Since, [Line 1 passes through the points (-3, -8) and (0, 10).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (10 - (-8)) / (0 + 3)

m = 18 / 3

m = 6

Since, Line 2 passes through the points (2, -6) and (4, 6).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (6 - (-6)) / (4 - 2)

m = 12 / 2

m = 6

Clearly, Both slopes are equal.

Hence, Both lines are parallel to each other.

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Answer:

12.2 pints

Step-by-step explanation:

In all means add.  Add the two decimals together.

4.8 + 7.4

12.2 pints

Answer:

30min

Step-by-step explanation:

25 to nearest 5min is 30min

Answer:

it should be a=60 and 2a=120

Step-by-step explanation:

what I did was split the rhombus in half and because making two triangles and because there is no right angle, I figured the top angle had to be 60 making the base angles 60 as well, the adding both triangle base angles I got 120, I'm not the best at explaining it but the answer is correct.

Answer:

\((x-4)^2+(y)^2=9\)

Step-by-step explanation:

The general format for the equation of a circle is the following:

\((x-n)^2+(y-m)^2=a\)

This circle will have a radius of (\(\sqrt{a}\)), moreover, this circle will have its center at point \((n,m)\). Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.

The circle in the given problem has its center at (4, 0). Therefore the following can be stated,

\(n=4\\\\m =0\)

Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,

\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

Where (\((x_1,y_1)\)) and (\((x_2,y_2)\)) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.

\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

\(D=\sqrt{(4-4)^2+(3-0)^2}\)

Simplify,

\(D=\sqrt{(4-4)^2+(3-0)^2}\)

\(D=\sqrt{(0)^2+(3)^2}\)

\(D=\sqrt{0+9}\)

\(D=\sqrt{9}\)

\(D=3\)

The parameter (a) is equal to (\(D^2\)) are per the format of the equation, thus one must do the following to find the value of (a):

\(a = D^2\)

\(a=3^3\)

\(a = 9\)

Substitute all of the information into the general formula for the equation of a circle, then simplify,

\((x-n)^2+(y-m)^2=a\)

\((x-4)^2+(y-0)^2=9\)

\((x-4)^2+(y)^2=9\)

Answer:

0.26 possibly

Step-by-step explanation:

Step-by-step explanation:

all I know is the answer and it's c

Based on the given expression, the correct simplification is provided by Sue: 4x + 8z.

To understand why Sue's simplification is correct, let's break down the steps of combining like terms:

The original expression is: 8x + 5z - 4x + 3z + 6.

Step 1: Combine the x terms: 8x - 4x = 4x.

Step 2: Combine the z terms: 5z + 3z = 8z.

Step 3: Bring down the constant term: 6.

Putting it all together, we get the simplified expression: 4x + 8z + 6.

Now, let's evaluate the other given expressions to see why they are incorrect:

Andrea's expression: -32x + 15z + 6

The error in Andrea's simplification arises from subtracting 4x from 8x, which results in -32x. This is incorrect because 8x - 4x equals 4x, not -32x.

Alissa's expression: 4x + 8z + 6

Alissa's simplification is correct and matches Sue's expression, so there is no error in her calculation.

Rachel's expression: 12x + 2z + 6

The error in Rachel's simplification arises from incorrectly adding the x and z terms. The coefficient of x should be 4 (8x - 4x = 4x), but Rachel incorrectly added the coefficients, resulting in 12x. Similarly, the coefficient of z should be 8 (5z + 3z = 8z), but Rachel incorrectly added the coefficients, resulting in 2z.

In conclusion, Sue and Alissa are correct in their simplifications. Sue's expression, 4x + 8z, is the accurate simplification of the given expression. Andrea and Rachel made errors in their calculations by incorrectly adding or subtracting the coefficients of the variables.

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