**Answer:**

C

**Step-by-step explanation:**

the domain would be all positive real numbers, including zero

How do I solve this?

We can compute the integral of the velocity function's absolute value. In other words, the area under the velocity function's curve's absolute value equals the **distance a particle travels.**

Steps for Finding Total Distance Traveled by a Particle Over an Interval of Time During Which the Particle is in Rectilinear Motion by Using the Definite Integral of Speed Over the Interval

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.it costs $0.50 to download an individual song and $4 to download an album. Jada has $15

to spend downloading music.

Complete the table showing three ways jada can spend $15 downloading individual songs

and albums.

**Answer:**

The completed table is given below and the equation for the given situation is 15=4a+0.50s.

Given that, it costs $0.50 to download an individual song and $4 to download an album.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Jada has $15 to spend downloading music.

Let s be number of songs and a be number of albums

So an equation for the given situation is 15=4a+0.50s

From table, in row 1

Given number of songs is 6

15=4a+0.50(6)

⇒ 15=4a+3

⇒ 4a=12

⇒ a=3

From table, in row 2

Given number of albums is 1

15=4(1)+0.50s

⇒ 0.50s=11

⇒ s=11/0.50

⇒ s=22

From table, in row 3

Given number of albums is 30

15=4a+0.50(30)

⇒ 15-15=4a

⇒ a=0

Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.

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**Step-by-step explanation:**

Please, this is an emergency :(, Help me solve for x, y and z

Given that it is a second-order polynomial equation, the **algebraic fundamental theorem** ensures that it has at least one solution.

A **quadratic equation** is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0.Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.Real or complicated solutions are both possible.

Option A , x = 7/5 and x= -1

Formula: Let ax² + bx + c = 0 be the quadratic equation,

x = [-b±√(b²-4ac)]/2a

The given quadratic equation be

5x² -2x = 7

⇒ 5x² -2x - 7 = 0

a = 5, b = -2 and c = -7

Therefore x = [-b±√(b²-4ac)]/2a

x=[-(-2) ±

√((-2)²-4*5*(-7))]/2*5

x =[2 ± √144)]/10

x =[2 ± 12)]/10

x = (2+12)/10 and x = (2-12)/10

x = 14/10 = 7/5 and x= -12/10 = -1

Therefore,the correct answer is Option A , **x = 7/5 **and x= -1.

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Examine the triangle below, solve for x, rounded to two decimal places.

16

45°

**Answer:**

[tex]x= 8\sqrt{2}[/tex]

**Step-by-step explanation:**

This is a 45, 45, 90-degree triangle.

You can tell because whenever there is a 90 degree angle (right angle) and a 45-degree angle, the last angle must be 45, too, making it 45, 45, 90.

In such a triangle, the hypotenuse is equal to some number (x) times the square root of 2.

To get 16, you must eliminate that radical 2, so you have to multiply by a square root. We know that the square root of 2 times the square root of 2 is 2, so then now we only need to get a constant to multiply it by 16.

This constant would be 8.

We know this because sqrt(2) times 8(sqrt 2) gives us 2 times 8, or 16.

Now that we know what x is, we have the solution.

The legs of a 45,45,90 degree triangle are equal to the number we need to multiply the square root of 2 by to get 16, 8(sqrt 2)

That is our answer: 8(sqrt 2)

Find the zero(s) of g open parentheses x close parentheses if g open parentheses x close parentheses equals fraction numerator x plus 4 over denominator x minus 6 end fraction.

The **zero** of the** function** g(x) is x = -4

A** function** is a relationship between inputs where each input is related to exactly one output. A function is generally denoted by f(x) where x is the input.

It should be noted that based on the information, we want to find the value of x. This will be illustrated thus:

To find the **zeros** of a **function** g(x), we solve the equation** g(x)** = 0 for x. That is:

g(x) = (x + 4) / (x - 6)

0 = (x + 4) / (x - 6)

0(x - 6) = (x + 4)

0 = (x + 4)

x + 4 = 0

x = -4

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The Fernando family spends $800 per month on rent. If this is 15% of their monthly budget, then what is their monthly budget?

1 point

**Answer:**

120

**Step-by-step explanation:**

e. Price: $2.20

10% off

Discount amount: ????

Discount price: ????

10% off of $2.20 would make the total $1.98 meaning you’re getting it 22 cents cheaper. I hope a helped and have a great day/night

Find the value of this expression if x = 9.

x² +9

4

x+1

**Answer: ****x ∈ {-0.0107639, 10.3225694} **

calculate the density of an apple witha mass of 80 grams and a volume of 160 ml

I will mark brainlest

**Answer:**

0.5

**Step-by-step explanation:**

Density Formula

P = m/V

Density = mass / volume

Gram is a mass (80)

Volume is 160

P = 80/160

80/60 = 0.5

To calculate the density of an object, you divide its mass by its volume.

Density = mass / volume

So for an apple with a mass of 80 grams and a volume of 160 ml, the density would be:

Density = 80 grams / 160 ml

Density = 0.5 g/ml

So the density of the apple is 0.5 g/ml.

Density = mass / volume

So for an apple with a mass of 80 grams and a volume of 160 ml, the density would be:

Density = 80 grams / 160 ml

Density = 0.5 g/ml

So the density of the apple is 0.5 g/ml.

Which of the following items describe the problems with early forms of money select all that apply

The drawbacks of early forms of **money** include their propensity to be easily divided and to crumble.

The unit technique is a method of problem-solving where you first calculate the value of a specific unit, then expand that value to get the answer. Simply expressed, a** minimum unit** value is extracted from a specified multiple using the unit method. The method used to accomplish this might be standardized. a solitary nation. anything has a distinguishing component. (Mathematics, Algebra) Its adjoint and** reciprocal** are equivalent. (Linear Algebra, Logical Analysis, Mathematics of Matrix or Operators)

given

then you multiply and cross.

so,18x6= 4x

4x/4=108/4

x=27

The drawbacks of early forms of money include their propensity to be easily divided and to crumble.

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Pablo’s hair was 1/2 inch long.Jason’s hair was 3 times as long. How long is Jason’s hair?PLEASE HELP QUICK

**Answer:**

**Step-by-step explanation:**

so you have 1/2 times 3 = 1.5

hey I need help with this T=M(4+FG) for G

The **equation** for the variable G after changing the subject of the** formula **is; G = (T/MF) - (4/F)

The** subject** of a** formula** is defined as the variable that is being worked out. It can be recognized to be the letter that is on its own on one side of the equal sign. For example, in the formula for the **area **of a** rectangle **given as;

A = b * h

area = base × height , the subject of the formula is A.

We are given the formula;

T = M(4 + FG)

Divide both sides by M to get;

T/M = 4 + FG

**Subtract** 4 from both sides to get;

(T/M) - 4 = FG

**Divide** both sides by F to get;

G = (T/MF) - (4/F)

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If Yazmin’s rate were 20 min/mi, the graph would be a straight line through

**Answer:**

The correct answer is 8 miles

**Step-by-step explanation:**

. If Yasmin runs at a pace of 7 miles per hour ... to run will always reduce down to the same fraction on a straight line

Question

For which intervals is the function increasing?

Select each correct answer.

(1,2)

(0,1)

(−∞,0)

(2,∞)

The **intervals **in the function **increase **will be (1, 2). Then the **correct **option is A.

A **function **is an assertion, concept, or principle that establishes an association between **two variables**. Functions may be found throughout **mathematics **and are essential for the development of significant links.

The **function **is shown on the graph. Then we have

In the **interval **(−∞, 0), the function is decreasing function.

In the interval (0, 1), the **function **is decreasing function.

And in the interval (1, 2), the function is **increasing **function.

Similarly in the interval (2, ∞), the function is **decreasing **function.

The **intervals **in the function **increase **will be (1, 2). Then the **correct **option is A.

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A water tower has a volume of 982m3 . Find how many liters of water it would take to completely fill the water tower. Use the table of conversion facts, as needed. Conversion facts for volume and capacity cubic centimeter milliliter cubic decimeter liter cubic meter kiloliter

To fill up the water tower, the** liters of water** needed, based on the volume of the **water tower**, is 982, 000 liters

To find the amount of **water **it would take to fill up the **water tower**, you need to convert the water tower volume from cubic meters to liters.

As per the **conversion **table, the **cubic meters** can be converted as such:

1 cubic meter = 1, 000 liters.

This means that a **volume **of 982 m ³ will be:

= 982 x 1, 000

= 982, 000 liters

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Select the correct answer. Which value of x makes the equation true? 3 x − 6 3 = 7 x − 3 6 A. -11 B. -9 C. -3 D. 3

**Answer:**

A is correct answer I guess but if you hhj have been able to worked something out put me on

find two whole numbers that are closest to v42. explain your reasoning

**Answer:**

The numbers are 6 and 7.

**Step-by-step explanation:**

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

r=11 m h=22 m what is the volume

The volume of the given **cylinder** is 8358.68 m³.

**Volume** is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, **radius** of a cylinder is 11 m and height of a cylinder is 22 m.

We know that, the volume of a cylinder is πr²h.

Now, volume =3.14×11²×22

= 3.14×121×22

= 8358.68 m³

Therefore, the volume of the given **cylinder** is 8358.68 m³.

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"Your question is incomplete, probably the complete question/missing part is:"

r=11 m and h=22 m what is the volume of a cylinder?

nicole is driving she has 14 gallons of gas she useds 1 gallon every 30 miles let G represent the gallons and Dz the distance she travel;s

**Answer:**

Dz = (14 - 1) 30

**Step-by-step explanation:**

We know

Dz represents distance travel

She starts with 14 gallons of gas

1 gallon of gas = 30 miles

So, our equation will be Dz = (14 - 1) 30

The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $61.2K. The agency fee is equal to 45% of the first three weeks

pay.

**Answer:**

**27540**

**Step-by-step explanation:**

**yes**

Find the missing coordinates such that the three vectors form an orthonormal basis for R3:

**Coordinates** is computed that:

a = 0

b = -0.8

c = 0

d = 0

e = 0

Calculating the missing coordinate in such a way that the three vectors for R3 are orthogonal:

[tex]\left[\begin{array}{ccc}0.6&a&b\\0.8&c&0.6\\1&-1&e\end{array}\right][/tex]

Any two **vectors'** dot product is zero and their norm is one on an orthogonal basis.

⇒ (-0.6, a, b) (0.8, b, c, -0.6)

⇒ -0.48 + ac - 0.6b = 0 → (1)

Similarly,

(0.8, c, -0.6) (d, -1, e)

⇒ 0.8d - c - 0.6c = 0 → (2)

Similarly,

(-0,6, a, b) (d, -1, e)

⇒ -0.6d - a + be = 0 → (3)

First Norm:

(0.6)² + a² + b² = 1

⇒ 0.36 + a² + b² = 1

⇒ a² + b² = 0.64 → (4)

Second Norm:

(0.8)² + c² + (-0.6)² = 1

⇒ 0.64 + c² + 0.36 = 1

⇒ c² + 1 = 1

⇒ c = 0

Now from **equation** (1), we can compute that:

(-0.48 + a) * (0 - 0.6b) = 0

⇒ -0.48 - 0.6b = 0

⇒ - (0.48 + 0.6b) = 0

⇒ 0.6b = -0.48

⇒ b = -0.48 / 0.6 = -0.8

∴ b = -0.8

From equation (4) we can compute that:

a² + b² = 0.64

⇒ a² + (-0.8)² = 0.64

⇒ a² = 0

∴ a = 0

Third Norm:

d² + 1 + e² = 1

d² + e² = 0 → (5)

From equation (3) we can infer that:

-0.6d - 0 + (-0.8e) = 0

⇒ -0.6d = 0.8e

⇒ d = -0.8e / 0.6

∴ e = -0.75d

Now we'll put this **value** in equation (5):

d² + (-0.75d)² = 0

⇒ d² + 0.5625d² = 0

⇒ d² (1 + 0.5625) = 0

⇒ d = 0

∴ e = 0

Therefore,

[tex]\left[\begin{array}{ccc}-0.6&0&-0.8\\0.8&0&-0.6\\0&-1&0\end{array}\right][/tex]

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Sketch the graph of the function. f(x, y) = sqrt 4 − 4x^2 − y^2

The function **f(x, y) = sqrt(4 - 4x^2 - y^2**) is defined over a disk of radius 2 centered at the origin in the xy-plane. The z-value of the function is always non-negative and reaches its maximum value of 2 at the origin **(0,0)**.

This can be confirmed by noting that the partial derivatives of the function at the origin are both **negative**, indicating that it is a maximum. The traces of the function in the xy, yz, and xz planes are circles with radius **2 **centered at the origin, with the range of the function being limited to the upper semi-circle in each of these planes.

When these traces are combined with the domain of the **function**, we get the graph of a **paraboloid** of revolution that opens downward, with a saddle point at the origin (0,0) and a maximum value of 2.

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I need to know how to solve 782÷2 using the area model

The area model can be used to visualize and solve division problems. To solve 782 ÷ 2 using the area model, you can start by drawing a rectangle with a length of 782 and a width of 2. Then, you can divide the rectangle into smaller rectangles of equal size until you have a total of 2 rectangles that have a combined area of 782. The area of each rectangle would be the quotient, or the answer to the division problem. In this case, the area of each rectangle would be 391, so 782 ÷ 2 = 391.

63 is 30% of what number?

21

93

210

300

**Answer:**

210

**Step-by-step explanation:**

Let number be x, 63 is 30% of x would be:

[tex] \displaystyle{63 = \dfrac{30}{100}x}[/tex]

**30% = 30/100**

Solve the equation for x, multiply both sides by 100 to get rid of the denominator:

[tex] \displaystyle{63 \times 100= \dfrac{30}{100}x \times 100} \\ \\ \displaystyle{6300 = 30x}[/tex]

Divide both sides by 30:

[tex]\displaystyle{ \dfrac{6300 }{30}= \dfrac{30x}{30}} \\ \\ \displaystyle{ 210= x}[/tex]

Therefore, that number is 210. Hence, 63 is 30% of 210

Classify the following triangle as acute, obtuse, or right.

• A. Acute

• B. Obtuse

• C. Right

D. None of these

**Answer:**

Right

**Step-by-step explanation:**

because the biggest angle of the triangle is equal 90

**Answer:**

C. Right angled triangle

Point P is the centroid of △LMN. Find PN and QN. QN=18

Answer:

Step-by-step explanation:

Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.This is referred to as a baryc enter of a friangle.And has the quality Np= 2PQ, therefore we can obtain it. When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait.

NO LINKS!!

You just found out that your retirement fund is losing money at an annual rate of 6.3% compounded quarterly. Currently, you have $56,700 in the account.

a. Write an equation to show how much money will be in the account for any number of years.

b. How much will the account be worth after 14 years? Show or explain how you know.

The equation for the value of the account for any number of years would be:

A = P * (1 - r)^(t/n)

Where:

A = the final value of the account

P = the initial value of the account ($56,700)

r = the annual interest rate (6.3%)

t = the number of years

n = the number of compounding periods per year (4)

So, the equation would be:

A = 56,700 * (1 - 0.063)^(t/4)

To find out how much the account will be worth after 14 years, we can plug in 14 for t in the equation above:A = 56,700 * (1 - 0.063)^(14/4)

A = $24,988.18

So, the account will be worth $24,988.18 after 14 years, if the rate of loss stays 6.3% compounded quarterly.

Solve the application problem.

Find the perimeter of a rectangle with a length of 1 3/4 ft and a width of 1/3 ft.

Plsssss hellppp

The perimeter of given **rectangle **is [tex]$8 \frac{1}{6}$[/tex] feet.

We are given the following information in the question:

Width of rectangle=

[tex]$1 \frac{3}{4}$[/tex] feet

Length of rectangle =

[tex]$2 \frac{1}{3}$[/tex]feet

Formula:

Perimeter of rectangle =

[tex]2 \times($ Length $+$ Width)[/tex]

Putting the values:

[tex]& 2 \times\left(1 \frac{3}{4}+2 \frac{1}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{7}{4}+\frac{7}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{21+28}{12}\right)[/tex]

[tex]& =2 \times \frac{49}{12} \\[/tex]

[tex]& =\frac{49}{6} \\[/tex]

[tex]& =8 \frac{1}{6}[/tex]

Hence, the perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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The perimeter of given rectangle is feet.

What is Perimeter of rectangle?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter.

There are numerous practical uses for calculating the perimeter. The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter.

We are given the following information in the question:

Width of rectangle=

feet

Length of rectangle =

feet

Formula:

Perimeter of rectangle =

Putting the values:

Hence, the perimeter of given rectangle is feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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Number of pennies in a stack that is 1 ft high HELP! pls.....

**Answer:**

84,480 pennies!

**Step-by-step explanation:**

calculate the static thrusts of the rocket and turbojet engines described in the figure. the thrust t is the force necessary to prevent horizontal

The static thrust of the **rocket** is **129800 N** and the static thrust in the **turbojet** will be **20000 N.**

Given,

mass flow rate, m = 40 kg/s

Exhausts velocity, Ve = 3000 m/s

Pressure, Pe = 0.15 MPa

Ambient pressure, Pa = 0.101 MPa

Area, Ae = 0.2 m²

We know that, the expression for **static thrust** for the rocket

T = mVe + (Pe - Pa)Ae

= 40 x 3000 + (0.15 - 0.01) x 0.2 x 10⁶

T = 129800 N

Now applying mass conservation to the engine

ma + mf = me

Now, thrust force

T = (ma + mf)Ue + (Pe + Pa)Ae

T = meUe + (Pe + Pa)Ae

and me = 40 kg/sec

Ue = 500 m/s

Pe = Pa

T = meUe = 40 x 500

T = 20000 N

Therefore, the static thrust of the rocket is 129800 N and the static thrust in the turbojet will be 20000 N.

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The complete question is:

Calculate the static thrust of the rocket and turbojet engines. The thrust T is the force necessary to prevent the horizontal movement of the engine. Both engines exhaust a mass flow of 40 kg/s. The ratio of air and fuel mass flowing into the turbojet is 50:1, and in its exhaust plane the velocity is 500 m/s and the pressure is the same as the ambient pressure. The rocket propellant exhausts at a velocity of 3000 m/s through an area of 0.2 m2. The pressure in the exhaust plane of the rocket is 0.15 MPa and the ambient pressure is 0.101 MPa.

The analysis of people getting along is known as____
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