1. 1) Simplify the following expression: 5b - 5 - 12b - 7​

1. Answer: The price of Andrea's tacos is $8.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Tip amount: $2.0

Percentage: 25% = 0.25 (decimal form, 25/100=0.25)

So, if we multiply the taco's price (x) by the percentage (0.25) we will obtain the amount of the tip (2).

Mathematically speaking:

x (0.25) = 2

Solving for x

x = 2/0.25

x = 8

The price of Andrea's tacos is $8.

2. To solve this problem what you can do is the following rule of three:

40 iris blooms -----> 100%

x iris blooms -------> 115%

Clearing the value of x we have:

x = (115/100) * (40)

x = 46

Then, comparing with last year we have:

40-46 = 6

Answer:

Savanna had this year 6 more iris blooms than last year.

Answer:

4.9

Step-by-step explanation:

Plug in 13 and 2 for each variable separately to get 0.7(13) - 2.1(2).  0.7 multiplied by 13 equals to 9.1 and 2.1 multiplied by 2 equals 4.2.  Subtract 4.2 from 9.1 to get your final answer which is 4.9.

Answer:

The Answer is C. (The Third Option)

Step-by-step explanation:

Product of powers can't be used on the others.

Answer: C

Step-by-step explanation:

Answer: all of them

Step-by-step explanation:

Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.

Answer:

400 \(ft^{2}\) (Don't forget the square symbol!)

Step-by-step explanation:

For the triangle:

Base times height divided by 2.

8 x 25 = 200

200/2 = 100

For the regtangle:

Width times height.

25 x 12 = 300

Add them together, and you get:

100 + 300 = 400.

Answer:300

Step-by-step explanation:25*12=300

25

x12

50

250+50=300

Step-by-step explanation:

we find the average height of each height first,

t¹= (120+124)/2

=244/2

=122

t²= (124+128)/2

t²= 252/2

t²= 126

t³= (128+132)/2

t³= 260/2

t³= 130

t⁴= (132+136)/2

t⁴= 268/2

t⁴ =134

t⁵= (136+140)/2

t⁵= 276/2

t⁵= 138

so multiplying each height by its frequency we can find the total height, so we have..

total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)

= 854+1008+1690+1206+414

= 5172

mean height = total height/total frequency

= 5172/40

=129.3

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:

x=20

Step-by-step explanation:

2x-5=35

you wanna turn that -5 to a +5 and add that +5 to 35 and you'll get 40.

then divide 2x with 40 and your answer should be 20.

Answer:

m = 35 , n = 110

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

consecutive angles are supplementary, that is sum to 180° , then

n + 70 = 180 ( subtract 70 from both sides )

n = 110

Solution:

We know that:

This means that:

Divide 2 both sides to find m:

We can see that two angles measuring 70° and n° are a linear pair.

The sun angle for Zanesville (latitude 40 degrees N) on August 10th is approximately 35 degrees, calculated as the solar zenith angle (90° - 40° + (-15°)).

To calculate the sun angle for Zanesville (latitude 40 degrees N) on August 10th, we need to determine the angle between the sun and the horizon at solar noon.

The solar zenith angle can be calculated using the following formula:

Solar Zenith Angle = 90° - Latitude + Solar Declination

To find the solar declination for August 10th, we can use an astronomical algorithm or a table. For simplicity, I'll provide an approximate value.

On August 10th, the solar declination is approximately 15 degrees south (negative value) since the subsolar point (SSP) is at 15 degrees north.

Now, let's calculate the solar zenith angle:

Solar Zenith Angle = 90° - 40° + (-15°)

Solar Zenith Angle = 35°

Therefore, the sun angle for Zanesville on August 10th is approximately 35 degrees.

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The center of mass (x¯,y¯,z¯) of the homogeneous solid block is located at the geometric center of the block, which is (L/2, W/2, H/2).

To determine the center of mass (x¯,y¯,z¯) of a homogeneous solid block, we need to use the formula:

x¯ = (1/M) ∫∫∫ xρ(x,y,z) dV
y¯ = (1/M) ∫∫∫ yρ(x,y,z) dV
z¯ = (1/M) ∫∫∫ zρ(x,y,z) dV

where M is the mass of the block, ρ(x,y,z) is the density of the block at point (x,y,z), and dV is the volume element at point (x,y,z).

Since the solid block is homogeneous, the density is constant throughout the block, and we can simplify the above formula as:

x¯ = (1/M) ∫∫∫ x dV
y¯ = (1/M) ∫∫∫ y dV
z¯ = (1/M) ∫∫∫ z dV

We can further simplify this formula by using the fact that the solid block is a rectangular parallelepiped, and its volume is given by:

V = L x W x H

where L is the length, W is the width, and H is the height of the block.

Therefore, the mass of the block is given by:

M = ρ V = ρ LWH

Using these values, we can calculate the center of mass as:

x¯ = (1/M) ∫∫∫ x dV = (1/ρLWH) ∫∫∫ x dV = L/2
y¯ = (1/M) ∫∫∫ y dV = (1/ρLWH) ∫∫∫ y dV = W/2
z¯ = (1/M) ∫∫∫ z dV = (1/ρLWH) ∫∫∫ z dV = H/2

Therefore, the center of mass (x¯,y¯,z¯) of the homogeneous solid block is located at the geometric center of the block, which is (L/2, W/2, H/2).

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Answer:

14

Step-by-step explanation:

Answer:

61/100 61/1

Step-by-step explanation:

The fraction equivalent to the given decimal 0.61 is 61/100.

The given decimal number is 0.61.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Here, in the given decimal number 0.61, after decimal point there are two digits.

So, divide 61 by 100

That is, 0.61 = 61/100

Therefore, the fraction equivalent to the given decimal 0.61 is 61/100.

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Step-by-step explanation:

hope it is helpful to you

Answer:

\(11\)

Step-by-step explanation:

\(\sqrt{5*5} +\sqrt{6*6}\)

\(\sqrt{5^{2} } +\sqrt{6^{2} }\)

\(5+\sqrt{6^{2} }\)

simplify the roots

\(5+6\)

calculate

11 is your answer!!

\(---------\)

hope it helps...

have a great day!!

Answer:

-2 13/1000

Step-by-step explanation:

Answer:

-2 13/1000

Step-by-step explanation:

Answer:

Desmos is a free graphing and teaching tool for math available on the web as well as on iOS and Android. In addition to plotting equations, classroom activities are available to help students learn about a variety of math concepts.

A definition of Desmos has been given below

What is Desmos?
Desmos can be applied in a variety of contexts. Students can avoid spending $100 on a graphing calculator by using it for free. It can be used by teachers to create stunning images for tests and presentations. But Desmos really shines in the classroom exercises. Teachers can use Desmos to assist students in making the connection between mathematical concepts and actual, concrete shapes and images. It's simple to begin an activity with your students: Just instruct the children to enter the website's activity code. Try the student preview of an activity before assigning it. In the teacher moves section at the bottom of each activity, you can find specific ways to guide your children while they work. The teacher dashboard allows for the tracking of progress.

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The point that is located at the ordered pair (4, -2) is given as follows:

Point B.

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

On the coordinate plane, we have that:

Hence the coordinates for this problem are given as follows:

A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).

The graph is given by the image presented at the end of the answer.

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Solution;

The answer is 11

Answer:

(3,1)

Step-by-step explanation:

\(\int\limits^2_x {(x^3 - 3)^{12} } \, dx\)= \((1/33)(x^3 - 3)^{(13/3)} + (4/13)(x^3 - 3)^{(8/3)} + (4/9)(x^3 - 3)^{(7/3)} + (4/81)(x^3 - 3)^{(4/3)} + C\) is what we get after evaluating the integral \(\int\limits^2_x {(x^3 - 3)^{12}} \, dx\) dx by making the substitution u = \(x^3\) − 3.

To evaluate the integral \(\int\limits^2_x {(x^3 - 3)^{12}} \, dx\) dx by making the substitution u = \(x^3\) − 3, we first need to find an expression for dx in terms of u.
Taking the derivative of both sides of u = \(x^3\) − 3 with respect to x, we get du/dx = \(3x^2\). Solving for dx, we have dx = du/(\(3x^2\)).
Substituting this expression for dx into the integral, we get:
\(\int\limits^2_x {(x^3 - 3)^1{2}} \, dx\) = ∫ \((u + 3)^{4/3} u^{(2/3)] du\)
Now we can use the power rule for integration to simplify this expression. First, we expand (u + 3)^4/3 using the binomial theorem:
\((u + 3)^{4/3} = u^{(4/3)} + (4/3)u^{(1/3)}3 + (4/3)(1/3)u^{(-2/3)}3^2 + (4/3)(1/3)(1/3)u^{(-5/3)}3^3\)
= \(u^{(4/3)} + 4u^{(1/3)} + 4/3u^{(-2/3)} + 4/27u^{(-5/3)}\)
Substituting this expression back into the integral and simplifying, we get:
\(\int\limits^2_x {(x^3 − 3)^{12}} \, dx\) = (1/3)∫ \((u^{(4/3)} + 4u^{(1/3)} + 4/3u^{(-2/3)} + 4/27u^{(-5/3)})u^{(2/3)}du\)
= (1/3)∫ \((u^{(10/3)} + 4u^{(5/3)} + 4/3u^{(4/3)} + 4/27u^{(1/3)})du\)
Using the power rule for integration, we get:
= \((1/33)u^{(13/3)} + (4/13)u^{(8/3)} + (4/9)u^{(7/3)} + (4/81)u^{(4/3)} + C\)
Substituting back for u = \(x^3\) − 3, we finally get:
\(\int\limits^2_x {(x^3 - 3)^{12} } \, dx\)= \((1/33)(x^3 - 3)^{(13/3)} + (4/13)(x^3 - 3)^{(8/3)} + (4/9)(x^3 - 3)^{(7/3)} + (4/81)(x^3 - 3)^{(4/3)} + C\)
where C is the constant of integration.

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The probability of the card having the letter B written on its face is 2/5 or 0.4.

The probability of the card having the letter B written on its face can be found by dividing the number of cards with the letter B by the total number of cards.

Given that there are 25 cards in total, with 10 cards having the letter B written on them, the probability can be calculated as follows:

Probability of drawing a B = Number of cards with B / Total number of cards

Probability of drawing a B = 10 / 25

Simplifying the fraction, we get:

Probability of drawing a B = 2 / 5

So, the probability of the card having the letter B written on its face is 2/5 or 0.4.

In other words, there is a 40% chance of Patrick turning over a card with the letter B on its face.

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The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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According to the online poll, 89% of the 200 respondents "love" David's podcast.

David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.

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The probability of getting a face card on the first card is 12/52, and the probability of getting an ace on the second card is 4/52.

Since the two events are independent (because we replace the first card), we can multiply the probabilities to find the probability of both events happening together:

P(getting face card on first card and ace on second card) = P(face card on first card) × P(ace on second card)= (12/52) × (4/52) = 48/2704 = 0.0177.

When you are dealt two cards from a standard deck of 52 cards, there are a certain number of possibilities for each card. For example, if you are trying to find the probability of drawing an ace, there are four aces in the deck, so the probability of drawing an ace on the first card is 4/52, or 1/13. However, if you are trying to find the probability of drawing an ace on the second card after drawing a face card on the first card, the probability is different. In this case, you know that the first card is a face card, which means that there are 12 cards in the deck that could be drawn. Since there are 52 cards in the deck, the probability of drawing a face card on the first card is 12/52, or 3/13. After you replace the first card, there are 52 cards in the deck again, but now there are only four aces because you know that the first card was not an ace. Therefore, the probability of drawing an ace on the second card is 4/52, or 1/13. Since the two events are independent (because you replace the first card), you can multiply the probabilities to find the probability of both events happening together. In this case, the probability is:

P(getting face card on first card and ace on second card) = P(face card on first card) × P(ace on second card)= (12/52) × (4/52) = 48/2704 = 0.0177

In conclusion, the probability of getting a face card on the first card and an ace on the second card is approximately 0.0177, or 1.77%. This means that out of every 100 times you draw two cards from a standard deck of 52 cards, you can expect to get a face card on the first card and an ace on the second card less than two times.

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Answer:

8

Step-by-step explanation:

2x + 6y = 4

Since, graph passes through (x, - 2)

Therefore, plug y = - 2 in the above equation.

2x + 6*(-2) = 4

2x - 12 = 4

2x = 12 + 4

2x = 16

x = 16/2

x = 8