Kim is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 9 inches × 13 1 3 inches. She needs to cut another rectangle that is 10 1 4 inches by 10 1 3 inches. How many total square inches of construction paper does Kim need for her project

Answer:

your going to have to be a little more specific than that please ;-; but if you want i can answer it this way

Reach a fabled level of success that makes you untouchable.

Create a positive work/life balance.

Feel as capable as others think you are.

Be more productive with each minute of the day.

Be recognized as talented or even brilliant.

People want dreams, goals, values and expectations in their life.

Life is the quality which people, animals, and plants have when they are not dead, and which objects and substances do not have

Given is a statement that asks about the specific things that people want in life.

The specific things that people want in life are dreams, goals, values and expectations.

Therefore, people want dreams, goals, values and expectations in their life.

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Answer: $803.4

Step-by-step explanation: he earned 3% on interest so that means the equation is 780 + 3% (correct me if i'm wrong) so 780 + 3% is $803.4 which is 803 dollars and 4 cents

Answer:

y = 2x + 10

Step-by-step explanation:

Hi there!

We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope (m) of the line

The slope can be calculated from 2 points using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes

\(x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2\)

Substitute these values into the formula (note: remember that the formula has subtraction in it!)

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-2--4}{-6--7}\)

Simplify

m=\(\frac{-2+4}{-6+7}\)

Add the numbers

m=\(\frac{2}{1}\)

Divide

m=2

The slope of the line is 2

We can substitute that in:

y = 2x + b

Now we need to find b

As the equation passes through both  (-7,-4) and (-6,-2), we can use either point to help solve for b

Taking (-6, -2) for example:

Substitute -6 as x and -2 as y into the equation.

-2 = 2(-6) + b

Multiply

-2 = -12 + b

Add 12 to both sides

-2 = -12 + b

+12  +12

___________

10 = b

Substitute 10 as b.

y = 2x + 10

Hope this helps!

Topic: Finding the equation of a line

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Answer:

3 weeks and 2 days

Step-by-step explanation:

The value of the angle B from the trigonometric ratios is 53.13 degrees

The Pythagorean theorem is a powerful tool for solving various problems involving right triangles. It allows us to find the length of a missing side in a right triangle when the lengths of the other two sides are known. It is also used to identify whether a triangle is a right triangle or not.

We have that;

TanB = 4/3

B= Tan-1(4/3)

B = 53.13 degrees

Hence we are going to have by the use of tan that the angle is 53.1 degrees

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Answer:

15

Step-by-step explanation:

After solving the set of linear equation so formed, we conclude that value  of "S" and "J" is 4 and 5 respectively.

As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"

Let us first form the set of linear equation so formed.

Cost of one shirt = $20

Cost of "S" shirts = $20 x S = 20S

Cost of one jersey = $15

Cost of "J" jerseys = $15 x J = 15J

Total cost = $155

20S + 15J = 155 is our first linear equation obtained.

Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :

20(S/2) + 15(2*J) = 190

or 10S + 30J = 190, is our second equation

This question is a classic example of forming a set of linear equation in two variable out of any given statement.

Solving the two sets of equation we get, S = 4 and J = 5

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

J. 20

Step-by-step explanation:

Answer:

2(x+12)+x=36

or,2x+24+x=36

or,3x+24=36

or,3x=36-24

or,3x=12

or,x=12/3

or,x=4

The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint

Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.

2905 / 1400 = 2.075 tubes of paint

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Answer:

you really go to the cca

Step-by-step explanation:

you really go to the cca

Answer:

And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

Step-by-step explanation:

so, i might be wrong but i hope this helps.

The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

The Linear Programming Problem (LPP) formulation for the given scenario is to minimize the cost (6x + 3y) subject to the constraints 3x + 5y ≥ 50, 4x + 3y ≥ 60, x ≥ 0, and y ≥ 0, where x represents the number of units of F1 consumed and y represents the number of units of F2 consumed.

To formulate the given problem as a Linear Programming Problem (LPP), we can define the decision variables, objective function, and constraints as follows:

Let:

x = number of units of F1 to consume

y = number of units of F2 to consume

Objective Function:

Minimize the cost of consumption, which can be expressed as:

Cost = 6x + 3y (since the cost per unit of F1 is Rs. 6 and F2 is Rs. 3

Constraints:

B1 consumption constraint:

The daily prescribed consumption of B1 should be at least 50 units.

Considering the composition of B1 in F1 and F2, we have:

3x + 5y ≥ 50

B2 consumption constraint:

The daily prescribed consumption of B2 should be at least 60 units. Considering the composition of B2 in F1 and F2, we have:

4x + 3y ≥ 60

Non-negativity constraint:

The number of units of F1 and F2 consumed cannot be negative, so we have:

x ≥ 0

y ≥ 0

The formulated LPP can be summarized as follows:

Minimize: Cost = 6x + 3y

Subject to:

3x + 5y ≥ 50

4x + 3y ≥ 60

x ≥ 0

y ≥ 0

By solving this LPP, we can determine the optimal values of x and y, which represent the number of units of F1 and F2 to consume in order to meet the minimum daily prescribed consumption of B1 and B2 while minimizing the cost of consumption.

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Answer:

x = 148⁰

Step-by-step explanation:

180⁰-32⁰= 148⁰

so 32⁰ angle is parallell to c angle so that means x equals to 148⁰

p and x are parallels

Note: Check the file attached below for the complete question

Answer:

Betty's monthly take home is $20 less

Step-by-step explanation:

Betty's monthly income = $2300

Betty's monthly savings = $200

Amount left after savings = $2300 - $200

Amount left after savings = $2100

Federal and State Income tax rate = 20% = 0.2

Tax amount paid = $420

Monthly take home = $2100 - $420

Monthly take home = $1680

Compared to $150 per month savings, Betty's monthly take home is $20 less

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.

The share of the whole bag of raisins individually of the friends get will be 1/12.

Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.

James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,

⇒ 1 - 3/4

⇒ 1/4

Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,

⇒ (1/4) / 3

⇒ 1 / (4 x 3)

⇒ 1 / 12

The share of the whole bag of raisins separately among the friends get will be 1/12.

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Step-by-step explanation:

1/2 = 6/12

3/4 = 9/12

5/6 = 10/12

So the order is 1/2,3/4,5/6

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

12 7/15

Step-by-step explanation:

49/5 + 8/3

147/15 + 40/15

187/15

12 7/15

Answer:

only one solution

Step-by-step explanation:

To find the solution(s) of the equation 7x = -10 + 8x, we can first simplify the equation by isolating the variable on one side of the equation.

We can start by subtracting 8x from both sides, which would give us:

-x = -10

then we can divide both sides by -1 to get x = 10

So the equation 7x = -10 + 8x has only one solution: x = 10

Ziblim

continue

It is important to note that the solution x = 10 is a valid solution of the equation 7x = -10 + 8x because when we substitute x = 10 into the equation, we get 7(10) = -10 + 8(10) which simplifies to 70 = 0, which is true.

It means that x = 10 is the value of x that makes the equation a true statement.

So in conclusion, the equation 7x = -10 + 8x has only one solution: x = 10

The simplified form of the expression (8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵) is 2.59 × 10⁻⁷.

Given the expression in the question;

(8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵)

To evaluate the expression (8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵), we can use the following steps:

So, starting with step 1:

(8.35 ÷ 3.22) = 2.592357

Using exponent rule

(10⁻¹² ÷ 10⁻⁵) = 10⁻¹² ⁻ ⁻⁵ = 10⁻¹² ⁺ ⁵ = 10⁻⁷

Moving on to step 2:

2.592357 × 10⁻⁷ = 2.592357 × 0.0000001 = 0.0000002592357

Finally, in step 3, we can rewrite this answer in standard form to 3 significant figures:

0.0000002592357 = 2.59 × 10⁻⁷

Therefore, the simplified form is 2.59 × 10⁻⁷.

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Answer:

80 %

Step-by-step explanation:

Total number of cards = 5

Number of green cards=1

Number of non green cards= 4

Percantage of non green cards= 4 /5 x 100 = 80 %

I think this is right!

The solution of the equation written as an imaginary number is y =  3i or -3i

An imaginary number is a number of the form ai, where a is a real number and i is the square root of -1. Imaginary numbers are often denoted with the letter "i".

Given: y² + 11 = 2

y² + 11 = 2

y² = 2 - 11

y² = -9

y = ±√-9                      

y = ± 3i

y = 3i or -3i

(Note: √9 = 3 and √-9 = 3i)

Thus, the solution is y =  3i or -3i

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Step-by-step explanation:

Let's start by finding the central angle measure of the two pieces of pie.

The length of the outer edge of a piece of pie is equal to the length of the circumference of the circle divided by the central angle measure (in radians).

For the smaller piece of pie, we know that the outer edge measures 6 inches. The radius is 4 inches, so the circumference is 2pi4 = 8*pi inches. Therefore, the central angle measure of the smaller piece of pie is:

6 = (8*pi) / theta

theta = (8pi) / 6 = (4pi) / 3 radians

Now, let's find the length of the outer edge of the larger piece of pie. The radius is 5 inches, so the circumference is 2pi5 = 10pi inches. We know that the central angle measure is (4pi) / 3 radians for both pieces of pie. Therefore, the length of the outer edge of the larger piece of pie is:

x = (10pi) / ((4pi) / 3)

x = (10pi3) / (4*pi)

x = (30/4) inches

x = 7.5 inches

So the measure of the outer edge of the larger piece of pie is 7.5 inches.

The angles are 90 degree and 30 degree and side PQ=6.93 and PN=8 units.

Three sides and three angles make up a triangle. A triangle's total angles are always 180 degrees. A triangle's exterior angles are always a sum of 360 degrees. The total of the parallel interior and exterior angles is additional.

Since, it is a right angle triangle, we can use Pythagoras theorem.

Sum of all angles is 180 degree in a triangle.

hence,

60+x+90=180

x=30 degrees.

cos 60=base/hypotenuse

1/2=4/Hypotenuse

Hypotenuse=2*4=8 units

Hypotenuse=PN=8 units.

now,

sin 60=perpendicular/hypotenuse

\(\sqrt{3}/2=PQ/8\)

PQ=6.93 units

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It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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