An inequality is shown.
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.

Answer:

We can use the concept of percentage to solve this problem.

Let's represent the total number of cards sold for Mother's Day by "x". We know that one salesman sold 47 cards, which was 4% of the total number of cards sold. So we can set up an equation:

0.04x = 47

Solving for "x", we divide both sides by 0.04:

x = 47 / 0.04

Using a calculator, we get:

x = 1175

Therefore, the total number of cards sold for Mother's Day was 1175.

The value of the function (f·g)(-9) is 186.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions f(x)=2x²-4x-15 and g(x)=x+12.

Here, (f·g)(x)=f(x)+g(x)

= 2x²-4x-15+x+12

= 2x²-3x-3

(f·g)(-9)=2(-9)²-3(-9)-3

= 2×81+27-3

= 162+27-3

= 162+24

= 186

Therefore, the value of (f·g)(-9) is 186.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer: 5

Step-by-step explanation:

To solve 4/5x + 3 = 7 for x, we must isolate x on one side of the problem.

To begin, remove 3 from both sides to get:

4/5x = 4

Hence, we can multiply both sides by 5/4 to isolate x:

x = 5

As a result, the answer to the equation 4/5x + 3 = 7 is x = 5.

Learn more about the x type questions:

https://brainly.com/question/17426042

Answer:

10 cm

Step-by-step explanation:

The volume of a cylinder is:

V = πr²h

Plug in the known values:

1884 cm³ = 3.14 × r² × 6 cm

Solve for r²:

r² = (1884 cm³)/(3.14 × 6 cm)

r² = 100 cm²

Solve for r:

r = √(100 cm²)

r = 10 cm

A performance task is any educational activity or assessment that calls for students to perform in order to demonstrate their comprehension, competency, and knowledge.

Mathematical activity includes the search for patterns as well as experimentation, description, fiddling, invention, picturing, conjecture, and guesswork.

A series of recurrent numbers, symbols, or shapes is referred to in mathematics as a pattern. Every kind of event or thing has a pattern that can be connected to it. A rule that distinguishes between items that are a part of a pattern and those that are not is known as a pattern.

to learn more about performance, visit :

brainly.com/question/28203720

#SPJ1

Complete question:

What is Performance task?

The possible number of positive real zeros for the given polynomial function is 2 or 0.

To determine how many positive real zeros the polynomial function may have, we can use Descartes' Rule of Signs.

Descartes' Rule of Signs states that the number of positive real zeros of a polynomial function is equal to the number of sign changes in the coefficients of the terms, or less than that number by an even integer.

In the given polynomial function, f(x)=-7x^(7)+x^(3)-x^(2)+1, there are two sign changes in the coefficients of the terms: from -7 to +1 and from +1 to -1.

Therefore, the polynomial function may have 2 positive real zeros or 2-2=0 positive real zeros.

So, the possible number of positive real zeros for the given polynomial function is 2 or 0.

For more about polynomial function:

https://brainly.com/question/12976257

#SPJ11

The first term is 9, the second term is 17, and the third term is 25.

The 100th term of an arithmetic sequence is given by the formula:

Tn = a + (n-1)d

Where Tn is the nth term, a is the first term, n is the number of terms, and d is the common difference.

In this case, the 100th term is 783, the common difference is 8, and the first term is 9.

Plugging in the values into the formula, we get:

783 = 9 + (100-1)8

Solving for the first term, we get:

783 = 9 + 792

783 = 801

a = 9

The second term, Q2, can be found by adding the common difference to the first term:

Q2 = a + d

Q2 = 9 + 8

Q2 = 17

The third term, az, can be found by adding the common difference to the second term:

az = Q2 + d

az = 17 + 8

az = 25

the first term is 9, the second term is 17, and the third term is 25.

Learn more about Vectors

brainly.com/question/13825135

#SPJ11

L x W x D cubic yards is the maximum amount of water the pool can contain.

Volume = Length x Width x Depth

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Many forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. We will discover how to calculate the volume for each of these shapes.

from the question:

We need to know the pool's dimensions in order to calculate how much water it can store. Assume the pool has the following dimensions: L yards in length, W yards in breadth, and D yards in depth.

The following formula can be used to determine the pool's volume:

Volume = length, width, and depth

Volume = L, W, and D cubic yards.

The pool may therefore hold a maximum volume of water that is L x W x D cubic yards.

to know more about volumes visit;

https://brainly.com/question/1578538

#SPJ1

The maximum amount of water that the pool can contain is the volume of the pool = L x W x D cubic yards.

The volume of a closed surface or object is a three-dimensional mathematical measurement. Cubic volume metrics include m3, cm3, in3, etc.

Any three-dimensional solid's volume is the area it takes up.

Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more. In this lesson, we'll learn how to determine the volume of each of these forms.

Here we need to know the pool's dimensions in order to calculate how much water it can store.

Let the pool's length be L yards.

Let the pool's breadth be W yards.

Let the pool's depth be D yards.

The following formula can be used to determine the pool's volume:

Volume = length × width × depth

⇒ Volume = L × W × D cubic yards.

The pool may therefore hold a maximum volume of water that is:

L x W x D cubic yards.

To know more about volume, visit:

https://brainly.com/question/23477586

#SPJ1

As a result, the circle's precise size is (529/4)π³  square centimetres.

A circle is a closed, two-dimensional shape where every point in the surface is equally spaced from a central point. The line of mirror symmetry is formed by all lines that traverse the circle. Additionally, every point has circular symmetry around the centre.

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle. We can rearrange this formula to solve for the radius:

r = C / 2π

When we substitute the circumference's specified number, we obtain:

r = (23r) / (2π)

Simplifying:

r = (23/2)π

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Substituting the value we found for the radius, we get:

A = π[(23/2)π]²

Simplifying:

A = π(529/4)π²

A = (529/4)π³

Therefore, the exact area of the circle is (529/4)π³ square cm.

To know more about Circle visit:

https://brainly.com/question/26594685

#SPJ1

By trigonometric formulas, there are two solution sets for the trigonometric equation 2 · cos β = - √(3 · cos β) + sin β + 2 · cos β: β₁ ≈ 0.402π + 2π · k, β₂ = - 0.402π - 2π · k, where k is an integer.

In this problem we find the case of a trigonometric equation, whose roots must be found by algebra properties and trigonometric formulas. First, write the complete expression:

2 · cos β = - √(3 · cos β) + sin β + 2 · cos β

Second, simplify the expression by algebra properties:

√(3 · cos β) = sin β

Third, square both sides and simplify the expression:

3 · cos β = sin² β

3 · cos β = 1 - cos² β

cos² β + 3 · cos β - 1

Fourth, factor the resulting expression:

(cos β - 0.303) · (cos β + 3.303)

Fifth, determine the set of solutions:

cos β = 0.303

β₁ ≈ 0.402π + 2π · k, β₂ = - 0.402π - 2π · k, where k is an integer.

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

If each hamburger she makes has a mass of about 0. 125 kg she can make a maximum of 16 hamburgers with the amount of ground beef she has.

To determine how many hamburgers Kendra can make, we need to divide the total mass of ground beef by the mass of each hamburger:

Total mass of ground beef = 0.652 kg + 0.545 kg + 0.824 kg = 2.021 kg

Number of hamburgers = Total mass of ground beef / Mass of each hamburger

Number of hamburgers = 2.021 kg / 0.125 kg = 16.168

Since Kendra can only make whole hamburgers, she can make a maximum of 16 hamburgers with the amount of ground beef she has.

Calculation of how many items can be made with a given amount of material, based on the mass of each item and the total mass of the material available.

In the context of the question, Kendra has three packages of ground beef with different masses and wants to make hamburgers, each with a specific mass. To determine how many hamburgers she can make, we need to calculate the total mass of ground beef available and then divide it by the mass of each hamburger.

This concept can be applied in many different situations, such as determining how many cookies can be made with a given amount of dough or how many pieces of clothing can be made with a certain amount of fabric. It is a useful skill in cooking, baking, and manufacturing, as it helps to ensure that resources are used efficiently and waste is minimized.

Learn more about the hamburgers:

brainly.com/question/13198246

#SPJ4

The present value of the land is $52,337.28

The worth of an anticipated revenue stream assessed as of the valuation date is known as a present value in the fields of economics and finance.

There are different kinds of PV models including:

How to solve:

We use the formula:

Present value of land= $18,000 + (2,000 * 17.1684)= $52,337.28

Read more about present value here:https://brainly.com/question/20813161#SPJ1

The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.

Grid squares are a way to represent two-dimensional space using a grid of squares, with each square representing a unit of length.

Grid squares are often used in various fields, such as computer graphics, geographic information systems, and mathematics, to represent and manipulate two-dimensional data.

Here we have

The table shows the distance traveled in a time period

The maximum time is shown in a table = 35 minutes

Let 1 unit = 5 minutes

Number of squares used to represent 35 minutes = 35/5 = 7

Therefore, the number of squares wide needs = 7 blocks

Given that the grid is 20 squares tall

The maximum distance in a table = 1.8 km  

Let's take the total distance = 2 km

The number of squares along length = 2 km/20 = 0.1

Therefore,

The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.

Learn more about Grid squares at  

https://brainly.com/question/28705858

#SPJ1

Answer:

こんにちは

Step-by-step explanation:

2. 答えは2.5

次の番号 3 の場合は 6.9 次の番号は 4 の場合は 5.6

The correct option is (b) i.e. there are 38 students age 15 and above who take a car to school.

What is a linear equation?

A linear equation is one in which the maximum power of the variable is one. Mathematically, an equation of the type axe + b = 0 or axe + by + c = 0, where a, b, and c are real integers and x and y are variables of maximum power one.

We know that,

Students under age 15 who prefer walk/bike + Students age 15 and above who prefer walk/bike = total of column

So, Students under age 15 who prefer walk/bike

   = total of column - Students age 15 and above who prefer walk/bike

   = 152 - 65

   = 87.

Now, total of rows = total of columns

       Row 1 + Row 2 = 360

      Row 1 = 360 - Row 2

                 =360-195

                 = 165.

Now, Students under age 15 who prefer bus + Students under age 15 who prefer walk/bike + Students under age 15 who prefer car = Row table

So, Students under age 15 who prefer bus

    = 165 - 60 - 87

    = 18.

Similarly,

Students under age 15 who prefer bus + Students 15 and above who prefer bus  = column total

So, Students 15 and above who prefer bus  = 110 - 18

                                                                         = 92.

Finally, students age 15 and above take a car to school

           = 195 - 92 - 65

           = 38.

To learn more about Linear equations, visit the link:

https://brainly.com/question/2030026

#SPJ1

Answer:

Step-by-step explanation:

I don't know if this is right but i'm just trying to help you. So I did 27 times 9 because the blue part is 9cm and the pink part H is 27cm, I got 243. Then the whole thing is 243cm but you see how it says in blue area=30cm well that means that that small peace if 30cm out of the whole 243cm, so what I did was i subtracted 243cm by 30cm and I got a answer of 213 cm. If that was what you had needed help on. I hope i helped you even a little bit, please let me know if i did help you. And also um i don't know how to friend someone so if you can tell me how to friend someone i was thinking about friending you. And ill also just you some points if you want, say mabey like 10 or 20 points. Thanks and hoped that helped and good luck buddy. :)

Answer:

Divide the number by 100

Step-by-step explanation:

The percentage of a number is it's relation in terms of 100. So to get the percentage of a number you have to divide it by 100

e.g 10 is a number

10/100

That is 0.1%

Please mark brainliest.

Thanks.

Answer:

Step-by-step explanation:

Angles in a quadrilateral add to 360°. So

[tex]60+80+120+x=360[/tex]   (where [tex]x[/tex] is the fourth angle)

[tex]260+x=360[/tex]  

[tex]x=100[/tex]°    (after subtracted 260 from both sides of equation)

(a) To show that {v1​,…,vk​,w1​,…,wℓ​} is an orthogonal set, we must show that the inner product of any two distinct vectors in this set is 0.

(b) To show that {v1​,…,vk​,w1​,…,wℓ​} is a basis of Rn, we must show that any vector in Rn can be written as a linear combination of these vectors.

(c) To show that dim V + dim V⊥ = n, we must show that the number of vectors in {v1​,…,vk​,w1​,…,wℓ​} is equal to n.

Let v and w be any two distinct vectors in the set {v1​,…,vk​,w1​,…,wℓ​}. By definition, since {v1​,…,vk​} is an orthogonal basis of a subspace V of Rn and {w1​,…,wℓ​} is an orthogonal basis of V⊥, we have that v and w are either in V or in V⊥, but not both.

Thus, if v is in V, then we have  = 0, because w is in V⊥. Similarly, if w is in V⊥, then  = 0, because v is in V. Therefore,  = 0 for any two distinct vectors v and w in {v1​,…,vk​,w1​,…,wℓ​}, which implies that {v1​,…,vk​,w1​,…,wℓ​} is an orthogonal set.

(b) Let x be any vector in Rn. Since {v1​,…,vk​} is a basis of V, x can be written as a linear combination of the vectors in {v1​,…,vk​}, that is, x = a1v1 + a2v2 + ... + akvk.

Since {w1​,…,wℓ​} is a basis of V⊥, x can also be written as a linear combination of the vectors in {w1​,…,wℓ​}, that is, x = b1w1 + b2w2 + ... + bℓwℓ.

Combining these two equations, we can write x = (a1v1 + a2v2 + ... + akvk) + (b1w1 + b2w2 + ... + bℓwℓ). Thus, any vector in Rn can be written as a linear combination of the vectors in {v1​,…,vk​,w1​,…,wℓ​}, which implies that {v1​,…,vk​,w1​,…,wℓ​} is a basis of Rn.

By definition, {v1​,…,vk​} is an orthogonal basis of a subspace V of Rn, so dim V = k. Similarly, {w1​,…,wℓ​} is an orthogonal basis of V⊥, so dim V⊥ = ℓ. Thus, the number of vectors in {v1​,…,vk​,w1​,…,wℓ​} is k + ℓ = n, which implies that dim V + dim V⊥ = n.

To know more about orthogonal set click on below link:

https://brainly.com/question/27749918#

#SPJ11

Answer: 3

Step-by-step explanation: try to solve for a by itself by multiplying it on both sides that give you 3 = 1*a. that simply just means that a is equal to 3, so you substitute three to the a variable that will give 3/3 that's equal to 1.

Answer:When we choose a dime from the box, there are two coins left, one penny and one nickel. Since we do not replace the dime, the probability of choosing a penny next is 1/2.

Therefore, the probability of choosing a dime first and a penny second is:

P(dime first and penny second) = P(dime first) * P(penny second | dime first)

= (1/3) * (1/2)

= 1/6

So, the answer is A. 1/6.

Step-by-step explanation:

The baker needs a total of 3 hours to decorate 4 1/2 cakes.

To decorate one cake, the baker needs 2/3 hour.

To find out how long it takes to decorate 4 1/2 cakes, we need to multiply the time for one cake by 4 1/2 i.e. 9/2

Time for 4 1/2 cakes = (2/3) x (9/2)

When the products are evaluated, we have

Time for 4 1/2 cakes = 3

So, the time taken is 3 hours

Therefore, the baker needs a total of 3 hours to decorate 4 1/2 cakes.

Read more about unit rates at

https://brainly.com/question/26059245

#SPJ1

If Alan and Robert worked together, it would take them 6.857 hours to move the inventory from the truck to the shelves

If Robert can move the inventory from his store from the truck to the shelves in 12 hours and Alan can do the same job in 16 hours, then we can find the time it would take for them to do the job together by using the formula for combined work rate:

1/t = 1/12 + 1/16

Multiplying both sides of the equation by 48t gives us:

48 = 4t + 3t

Simplifying and solving for t gives us:

48 = 7t

t = 48/7

t = 6.857 hours

It would take Alan and Robert approximately 6.857 hours to move the inventory working together.

See more about time constraints at https://brainly.com/question/30968462.

#SPJ11

The argument for the dilation is that: No, in order for one figure to be dilated of another, both coordinates of all points must be multiplied by the same constant

The complete question is added as an attachment

From the attached table of values, we can see that:

The coordinates of x are multiplied by 3, while the coordinates of y are multiplied by 6

This means that

The figure is not properly dilated, because these coordinates must be multiplied by the same constant value

Read more about dilation at

https://brainly.com/question/3266920

#SPJ1

Answer: Last one

Step-by-step explanation:

43. g(6) = 5602.33

44. f(5) = 61.

The exponential function is defined by the equation:g(x) = 31​(7)x − 2So, we need to evaluate the function g(x) at x = 6. Then, g(6) is given by;g(6) = 31​(7)6 − 2= 31​(7)4= 16807/3Thus, g(6) = 5602.33 (rounded to two decimal places).Similarly, the exponential function is defined by the equation:f(x) = 4(2)x − 1 − 2We need to evaluate the function f(x) at x = 5. Then, f(5) is given by;f(5) = 4(2)5 − 1 − 2= 4(16) − 1 − 2= 64 − 1 − 2= 61Thus, f(5) = 61.

Learn more about exponential function

brainly.com/question/3127939

#SPJ11