Can someone please help me with this problem? Will mark brainliest

Answer:

To find the total square inches of construction paper Sammy needs, we need to calculate the area of each rectangle and add them together.

The area of the first rectangle is:

6 inches × 14.5 inches = 87 square inches

The area of the second rectangle is:

10.25 inches × 10.5 inches = 107.63 square inches

Adding these two areas together, we get:

87 square inches + 107.63 square inches = 194.63 square inches

Therefore, Sammy needs a total of 194.63 square inches of construction paper for her project.

Answer:

Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Step-by-step explanation:

Let the number of beads that Xavier has be x.

Let the number of beads that Yaozhou has be y.

Let the number of beads that Zara has be z.

The total number of beads they have altogether is 438. This means that:

x + y + z = 438 _______(1)

Xavier and Zara have a total of 204 beads. This means that:

x + z = 204

=> x = 204 - z _______(2)

Yaozhou has 3 times as many beads as Zara. This means that:

y = 3z _________________(3)

Put (2) and (3) in (1):

204 - z + 3z + z = 408

3z = 408 - 204 = 204

z = 204/3 = 68

From (2):

x = 204 - 68 = 136

From (3):

y = 3 * 68 = 204

Therefore, Xavier has 136 beads, Yaozhou has 204 beads and Zara has 68 beads.

Answer:

4x² - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(7x² - 5x + 6) + (-3x² + 5x - 14)

Step 2: Simplify

Answer:

Step-by-step explanation:

Given equation:

Find the difference of g when n = 1 and n = 5:

Divide the above number by the difference of 5 and 1:

\(\\ \tt\hookrightarrow g(1)=10(1.02)^1=10(1.02)=10.2\)

\(\\ \tt\hookrightarrow g(5)=10(1.02)^5=11.04\)

Subtract:-

\(\\ \tt\hookrightarrow 11.04-10.2\)

\(\\ \tt\hookrightarrow 0.84\)

Average rate of change:-

The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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The shifted coordinates for each of the following are (20,-11) and (6,2).

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Given, (x,y) → (x + 10, y - 6)

a)  when the input is (10,-5) -

10 + 10 = 20

- 5 - 6 = - 11

(20,-11)

b) when the input is (-4,8) -

-4 + 10 = 6

8 - 6 = 2

(6,2)

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The upper sum is 24 and the lower sum is 8 for the given function

f(x) = 6 - x², -2 ≤x≤ 2.

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.

Given,

f(x) = 6 - x²

-2 ≤x≤ 2

When n=2, partition of interval -2, 0, 2

When x=-2, f(-2)=6-4

f(-2)=2

x=0, f(0)=6-0

f(0)=6

x=2, f(2)=6-4

f(2)=2

Upper sum= M₁S₁+M₂S₂

=6(2)+6(2)

=24

Lower sum=m₁ s₁+m₂ s₂

=2(2)+2(2)

=8

Therefore, upper sum=24 and lower sum= 8

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Answer: 18.29%

Step-by-step explanation:

There are 350 students. Out of these students, 70 signed up for the Army, 64 for the Airforce, 56 for the Navy and 160 for the Marines for a total of 350.

The percentage of students who signed up for the Airforce out of the total can be calculated by:

= number of students (airforce) / total number of students * 100

= 64/350 * 100

= 18.29%

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Tomorrow, three out of four hits are required to average more than 0.450.

Given data;

Take the example of the third baseman for your high school softball team who had a total of 6 hits in 15 at-bats during the previous four games. assuming you'll get four chances to bat in tomorrow's game. How many hits must you have to surpass 0.450 on the batting average? To determine the required number of hits, create and solve an inequality.

Let 'x' be the number of hits

And have an average of 0.45

⇒ \(\frac{6+x}{15+4} > 0.45\)

⇒ 6 + x > 0.45 * 19

   6 + x > 8.55

   x > 2.55

   x = 3

Hence, 3 out of 4 hits tomorrow is the least number of hits needed to average greater than 0.450

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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After applying the distributive property and combining the like terms, the simplified expression is 4x + 4y + 12.

To simplify the expression and apply the distributive property, as well as combine like terms, we can start by working through the given expression step by step:

Expression: x + 3y - y + 3x + 2(2 + 4 + y)

First, let's simplify the expression inside the parentheses (2 + 4 + y):

Expression: x + 3y - y + 3x + 2(6 + y)

Next, distribute the 2 to each term inside the parentheses:

Expression: x + 3y - y + 3x + 12 + 2y

Now, let's combine the like terms. The like terms are the ones with the same variables raised to the same powers:

Expression: (x + 3x) + (3y - y + 2y) + 12

Simplifying further:

Expression: 4x + 4y + 12

Therefore, after applying the distributive property and combining the like terms, the simplified expression is 4x + 4y + 12.

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex.

A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its center.

The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface.

The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.

A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangle are not rectangular, the prism is oblique.

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Define the following solids:

(a) cone, (b) sphere, (c) cylinder, (d) prism.

Answer:

y=9x-4

OR

y-5=9(x-1)

(both are correct and equal)

Step-by-step explanation:

Parallel means slope is the same, so the slope of the equation should be 9.

Using point slope form:

\(y-5=9(x-1)\)

Which would be:

\(y=9x-4\)

in slope intercept form.

Hey there!

Answer:

y = 9x - 4

Step-by-step explanation:

The other guy already gave the explanation soo... but I got the same answer

Good luck!!  :D

Answer:

\((4 \div \frac{1}{2}) = 4 \times 2 = \boxed 8✓\\\)

Answer:

8 is the answer

Step-by-step explanation:

4=whole number

1=numerator

2=denominator

when we do reciprocal it became

4x2/1=8/1

so the answer is 8/1

decimal from 8/1=8

8/1 is an improper fraction and be written as 8

I hope it helps you

Let's draw a little diagram to help us answer this question:

• The first box can be the numerals ,0 to 9,, that is ,10 digits,.

• The second box can be the numerals ,0 to 9,, that is ,10 digits,.

• The third box can be the numerals ,0 to 9,, that is ,10 digits,.

• The fourth box can be the numerals ,0 to 9,, that is ,10 digits,.

Then,

• Fifth box can have all the letters of the alphabet (26 of them) EXCEPT ,I, O, and X. ,That is 26 - 3 = ,23 letters,.

• Sixth box can have all the letters of the alphabet (26 of them) EXCEPT ,I, O, and X. ,That is 26 - 3 = ,23 letters,.

• Seventh box can have all the letters of the alphabet (26 of them) EXCEPT ,I, O, and X. ,That is 26 - 3 = ,23 letters,.

So, we can now see the rough diagram below with the number of elements in each of the 7 boxes:

From fundamental rule of counting, we need to multiply all of these to get the number of different licence plates possible. Shown below:

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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To find an orthogonal matrix S such that -1 = S^(-1)AS = D, where A is the given matrix [0 2; 2 0], and D is a diagonal matrix, we can use diagonalization techniques. By finding the eigenvalues and eigenvectors of A, we can construct S and D accordingly. The resulting matrix S is an orthogonal matrix satisfying the given equation.

To diagonalize the matrix A, we first find its eigenvalues. The characteristic equation det(A - λI) = 0 leads to (λ - 2)(λ + 2) = 0. Hence, the eigenvalues are λ₁ = 2 and λ₂ = -2.

Next, we find the corresponding eigenvectors. For λ₁ = 2, solving the equation (A - 2I)x = 0 yields the eigenvector [1; 1]. For λ₂ = -2, solving the equation (A + 2I)x = 0 gives the eigenvector [1; -1]. Normalize both eigenvectors to obtain the orthogonal vectors [1/√2; 1/√2] and [1/√2; -1/√2].

Now, we construct the orthogonal matrix S using the normalized eigenvectors as columns. S = [1/√2 1/√2; 1/√2 -1/√2]. To verify that S is orthogonal, we calculate S^(-1) = [1/√2 1/√2; 1/√2 -1/√2] and compute S^(-1)AS. The result is the diagonal matrix D = [-1 0; 0 1].

Therefore, the matrix S = [1/√2 1/√2; 1/√2 -1/√2] is an orthogonal matrix satisfying -1 = S^(-1)AS = D, where A is the given matrix [0 2; 2 0], and D is a diagonal matrix.

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Answer:

D

Step-by-step explanation:

Polynomials are always closed with addition, subtraction, and multiplication. Division cannot be used to close a polynomial because when you divide two polynomials, its not going to come out as polynomial. All the other operations after completed will create another polynomial.

Best of Luck!

The Laplace transform of f(t), with the period 3, is \(L{f(t)} = \frac{2}{s^2} \left(1 - e^{-3s} + e^{-3s} - e^{-6s} + e^{-6s} - e^{-9s} + \ldots\right)\)

The Laplace transform of a periodic function can be determined using the properties of the Laplace transform and the fact that the Laplace transform of a periodic function is also periodic.

In this case, we are given that the function f(t) has a period of 3 and is defined as f(t) = 2t for 0 < t < 3.

To find the Laplace transform of f(t), we can write it as a sum of scaled unit step functions, where each step function covers one period of the function. Since the function f(t) has a period of 3, we can write:

f(t) = 2t = 2t(u(t) - u(t-3)) + 2t(u(t-3) - u(t-6)) + 2t(u(t-6) - u(t-9)) + ...

Using the linearity property of the Laplace transform, we can take the Laplace transform of each term separately. The Laplace transform of 2t is 2/\(s^2\), and the Laplace transform of a unit step function u(t-a) is \(e^{(-as)}/s\).

Therefore, the Laplace transform of f(t) is:

\(L{f(t)} = \frac{2}{s^2} \left(e^{-0s} - e^{-3s}\right) + \frac{2}{s^2} \left(e^{-3s} - e^{-6s}\right) + \frac{2}{s^2} \left(e^{-6s} - e^{-9s}\right) + \ldots\)

Simplifying this expression further, we can combine the terms:

\(L{f(t)} = \frac{2}{s^2} \left(1 - e^{-3s} + e^{-3s} - e^{-6s} + e^{-6s} - e^{-9s} + \ldots\right)\)

The resulting Laplace transform is a sum of terms with exponential functions and can be expressed using the geometric series formula.

However, since the Laplace transform of f(t) is not directly related to its periodicity, a specific expression for the Laplace transform of f(t) cannot be determined without further information.

To graph f(t), plot the function f(t) = 2t for the interval 0 < t < 3, and then repeat this graph periodically every 3 units on the x-axis. This will result in a graph that shows the periodic nature of f(t) with a period of 3.

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Answer:

y=6,000x  

Step-by-step explanation:

If y is equal to the amount of milk and 6000 gallons are produced per hour, then you must multiply the number of hours (x) by 6000 gallons of milk produced in 1 hour, so y=6,000x

Note:

those three (or the last three) answers are basically the same

y=x6,000

y=6,000x

y=6,000x

Answer:

Step-by-step explanation: 56

Answer:

130 is correct

Step-by-step explanation:

Answer:

Fraction=16/3

(Decimal: 5.333333)

Step-by-step explanation:

3/4+7/12−(−4)

=4/3−(−4)

=16/3

Answer:

4g = 8

You would just have to divide 4 on both sides. The 4's would cancel out and now your left with 8÷4 = 2

Your answer would be

g = 2

The rate at which air is being pumped in when the radius of the sphere is 10 cm and increasing at a rate of 2 cm/s is 400π/3 cm³/s.

The volume V of a sphere with radius r is given by V = (4/3)πr³. Taking the derivative of this expression with respect to time t, we get dV/dt = 4πr²(dr/dt). This equation relates the rate of change of volume to the rate of change of the radius. We are given that the radius is increasing at a rate of 2 cm/s, so dr/dt = 2 cm/s.

At the instant when the radius is 10 cm, we can find the rate at which air is being pumped in by substituting r = 10 cm and dr/dt = 2 cm/s into the equation for dV/dt. Thus, we have dV/dt = 4π(10)²(2) = 800π cm³/s.

Therefore, when the radius of the spherical balloon is 10 cm and is increasing at a rate of 2 cm/s, the rate at which air is being pumped in is 400π/3 cubic centimeters per second.

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Answer: A

Step-by-step explanation:

To solve for x, we can set the expression equal to 24√47 and solve for x.

24√47 = x√47

24 = x

Therefore, the value of x that makes the expression equivalent to 24√47 is x = 24, which corresponds to the answer choice A.

The result of the inequality  -24 ≤ 2x - 10 < -6 is -7 ≤ x < 2

The given inequality is

-24 ≤ 2x - 10 < -6

The inequality is the mathematical statement that shows the relationship between two expression with inequality sign. The inequality signs are less than, less than or equal, greater than, greater than or equal

The inequality is

-24 ≤ 2x - 10 < -6

Split the inequality into two and solve each expression

-24 ≤ 2x - 10 and 2x -10 < -6

First

-24 ≤ 2x - 10

-24 + 10 ≤ 2x

-14 ≤ 2x

Divide both side by 2

-7 ≤ x

Next term is

2x - 10 < -6

Add both side by 10

2x < -6+10

2x < 4

x < 2

Combine the inequality = -7 ≤ x < 2

Hence, the result of the inequality  -24 ≤ 2x - 10 < -6 is -7 ≤ x < 2

The complete question is:

Solve  -24 ≤ 2x - 10 < -6

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