Name the solution(s) for the system of equations.

The value of d at the point of equilibrium, to the nearest whole number is 54

The equations are given as:

[tex]d = \frac{-5}{9}p + 94[/tex]

[tex]s = 3p - 160[/tex]

At the point of equilibrium, d = s.

So, we have:

[tex]\frac{-5}{9}p + 94 = 3p - 160[/tex]

Multiply through by 9

-5p + 846 = 27p - 1440

Collect like terms

27p + 5p = 1440 + 846

Evaluate the sum

32p = 2286

Divide through by 32

p = 71.4375

Substitute p = 71.4375 in [tex]d = \frac{-5}{9}p + 94[/tex]

[tex]d = \frac{-5}{9} * 71.4375 + 94[/tex]

Evaluate

d = 54.3125

Approximate

d = 54

Hence, the value of d at the point of equilibrium, to the nearest whole number is 54

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Answer:

its d :)

Step-by-step explanation:

Answer: c= -8

Step-by-step explanation:

c/2=-4  

-8/2=-4

-4 +5=1

Answer:

See below under "Explanation".

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle f(x) = 3.55x - 4[/tex]

[tex]\displaystyle x = \{ 17, 21, 24, 34 \}[/tex]

Step 2: Find Profit

To find the profit the store makes each day, we input the number of customers that visited the store each day into our given function:

For the day that had 17 customers:

[tex]\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}[/tex]

∴ the butcher store made $56.35 when 17 customers visited the store.

For the day that had 21 customers:

[tex]\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}[/tex]

∴ the butcher store made $70.55 when 21 customers visited the store.

For the day that had 24 customers:

[tex]\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}[/tex]

∴ the butcher store made $81.20 when 24 customers visited the store.

For the day that had 34 customers:

[tex]\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}[/tex]

∴ the butcher store made $116.70 when 34 customers visited the store.

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Topic: Algebra I

Answer:

Sine: 0.94

Cosine: -0.31

Cotangent: -0.3(infinite)

Cosecant: 1.05

Tangent: -3

Secant: -3.16

Formula for finding the 6 trigonometry functions

Finding opposite and adjacent angles

Hope this helps!

Step-by-step explanation:

The six trig functions are

[tex] \sin( \alpha ) = \frac{y}{r} [/tex]

[tex] \cos( \alpha ) = \frac{x}{r} [/tex]

[tex] \tan( \alpha ) = \frac{y}{x} [/tex]

[tex] \csc( \alpha ) = \frac{r}{y} [/tex]

[tex] \sec( \alpha ) = \frac{r}{x} [/tex]

[tex] \cot( \alpha ) = \frac{x}{y} [/tex]

Where

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

[tex]r = \sqrt{ - 2 {}^{2} + {6}^{2} } [/tex]

[tex]r = \sqrt{40} [/tex]

[tex]r = 2 \sqrt{10} [/tex]

So we just plug in -2 for x, 6 for y, and our r value into these functions.

[tex] \sin( \alpha ) = \frac{6}{2 \sqrt{10} } = \frac{3}{ \sqrt{10} } = \frac{3 \sqrt{10} }{10} [/tex]

[tex] \cos( \alpha ) = \frac{ - 2}{2 \sqrt{10} } = \frac{ - 1}{ \sqrt{10} } = \frac{ - \sqrt{10} }{10} [/tex]

[tex] \tan( \alpha ) = \frac{6}{ - 2} = - 3[/tex]

Csc is the reciprocal of sine.

[tex] \csc( \alpha ) = \frac{ \sqrt{10} }{3} [/tex]

Sec is the reciprocal of cosine

[tex] \sec( \alpha ) = - \sqrt{10} [/tex]

Cot is the reciprocal of tan

[tex] \cot( \alpha ) = - \frac{1}{3} [/tex]

Answer:

There is no graph....

Step-by-step explanation:

But I believe this is the graph you are talking about

Therefor Graph D represents a function.

When a coin is tossed ten times, the probability of getting a head will be 1/2.

In probability, one can either get a head or a tail. Therefore, when a coin is tossed ten times the probability of tossing a head will be:

= 5/10 = 1/2

In tossing one coin 100 times, the chances for tossing a head will be:

= 1/2 × 100 = 50

In tossing one coin 200 times, the chances for tossing a head will be:

= 1/2 × 200

= 100

In conclusion, the deviation for 10 tosses is 0.1

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Answer:

3/20

Step-by-step explanation:

Take the miles that Maria walked and subtract the miles that Cody walked

3/4 - 6/10

Simplify 6/10 by dividing the top and bottom by2

3/4 - 3/5

Get a common denominator of 20

3/4 *5/5 = 15/20

3/5 *4/4 =12/20

15/20 - 12/20

3/20

Answer:

0.15(3/20) miles more than Cody

3/4 = 0.75

6/10 = 0.6

Therefore, Maria walked 0.15(3/20) miles greater than Cody.

Answer:

the cat should be about 6 or 7 inches away

Step-by-step explanation:

I'm sorry if I was wrong I hope I help

Answer:

57.3 feet

Step-by-step explanation:

Make a right angle triangle. Angle is 45 degrees

hight is 40.4 which is opposite to this angle, that means it's opposite side. And the distance of the bucket to rescue cat is hypotenuse, that's what we are looking for.

apply trig ratio

Sinθ = opposite leg/ hypotenuse

[tex] \sin( 45) = \frac{40.4}{x} \\ x = \ \frac{40.4}{ \sin(45) } \\ x = 57.275 \\ x = 57.3[/tex]

Answer:

the table is pressing back on the boom with its own force which is greater than gravity

Answer:

x = 6 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

From what I think the equation is, I got x = 6 [tex]\frac{8}{9}[/tex]

The number of blocks of clay needed by Hyla is 30 blocks

Area is the region bounded by a plane shape.

To calculate the number of blocks of clay needed by Hyla, we find the area of the bottom of the box and divide it by the area of the block.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The number of blocks of clay needed by Hyla is 30 blocks

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The limit of f (x) as x approaches negative 1 is negative 1

The function is given as:

f(x) = x

The limit is represented as:

[tex]\lim_{x \to -1} f(x)[/tex]

Rewrite as:

[tex]\lim_{x \to -1} f(x)=x[/tex]

Substitute -1 for x

[tex]\lim_{x \to -1} f(-1)=-1[/tex]

So, we have:

As x approaches negative 1,f(x) approaches negative 1

Hence, t

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Answer:

x>10

Step-by-step explanation:

Think of the < and > signs as arrow marks

Whichever direction the arrows pointing, that's where you should plot.

The line graph shown goes rightwards, so use the sign that looks like it's pointing right. (>)

Finally, don't use the greater than or equal to sign because the circle isn't colored in. This means that it doesn't include 10, only numbers higher than 10.

Step-by-step explanation:

you are "hiding" some more information (like how much they made together).

without that we cannot calculate the actual values.

all I can do is set up the equations expressing the given relations between the parts of the total :

a = amount Alberto made

b = amount Benjamin made

c = amount Carlota made

b = 3×a

c = 2×b = 2× 3×a = 6×a

that's it.

your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.

and that is missing.

if it is something like "together they made x", then we would have

a + b + c = x

a + 3a + 6a = x

10a = x

a = x/10

b and c we get then from the first 2 equations by simply using the calculated value of a :

b = 3×(x/10) = 3x/10

c = 6×(x/10) = 6x/10 = 3x/5

Answer:

(f•g)(x) = (x)(2) = 2x

Step-by-step explanation:

(f•g)(x) is the "product" of functions f and g:  

(f•g)(x) = (x)(2) = 2x

The number of students that took ENG but neither BIO nor P.E is 43.

A set is a collection of well-defined objects called elements of the given set.

Analysis:

see diagram below

In conclusion, the number of students that took ENG but neither BIO nor P.E is 43

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Answer:

r 104.20

Step-by-step explanation:

87tickets x r 2.00 = 174

174 - 69.80 = r 104.20

The exponential function is P = 5.63(1.0145)ⁿ. And the population of the city in 2018 is 6.1379 million, the number of the years when the population of the city is 10 million is 40 years, and the doubling time will be 49 years.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

In​ 2012, the population of a city was 5.63 million. The exponential growth rate was 1.45​% per year.

Then the exponential function will be given as

P = 5.63 (1.0145)ⁿ

Where P is the population (in million) and n is the number of years.

Then the population of the city in 2018 will be

n = 2018 - 2012 = 6

Then we have

P = 5.63 (1.0145)⁶

P = 5.63 x 1.0902

P = 6.1379 million

The number of the years when the population of the city is 10 million.

    10 = 5.63 x (1.0145)ⁿ

1.776 = (1.0145)ⁿ

Taking log both sides, then we have

log 1.776 = n x log 1.0145

            n = 39.90

            n ≅ 40 years

Then the doubling time will be

2 = (1.0145)ⁿ

Taking log on both sides, then we have

log 2 = n x log1.0145

      n = 48.1489

      n ≅ 49 years

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Step-by-step explanation:

we don't see all answer options.

but I am sure it must be b.

simply because the right graph shows that the curve goes through

(4, 0) and (-4, 0)

and

(0, 3) and (0, -3)

but if I am mistaken about b showing that, please pick the graph that shows this.

the reason is to think when is the x term being 1, when y = 0, and when is the y term being 1, when x = 0.

these are some "cornerstones" for the graph based on the functional definition.

and the answers are the points listed above.

Answer:

GCF is less than 3:

- 12 and 13

GCF is equal to 3:

- 6 and 27

- 12 and 21

- 3 and 6

GCF is greater than 3:

- 4 and 12

- 6 and 18

Step-by-step explanation:

6 and 27 GCF: 3

12 and 13 GCF: 1

4 and 12 GCF: 4

3 and 6 GCF: 3

12 and 21 GCF: 3

6 and 18 GCF: 6

Answer:

x = 2, y = 13, z = 1

Step-by-step explanation:

2 * 2 * 13 * 13 * 17 is equal to 2x * 13y * 17z.

knowing that 2x = 2 * x

therefore

2 * 2 * 13 * 13 * 17 * 1

2 * x * 13 * y * 17 * z

meaning that

x = 2, y = 13, z = 1

Answer:

2c(c - 3)(c - 8)

Step-by-step explanation:

Hello!

Factor:

Think: What two numbers multiply to 24, and add up to -11?

Answer: -8 and -3

Split up the -11c into -8c and -3c:

Answer:

[tex]P=0.71[/tex] or 71%

Explanation:

[tex]P=\frac{3.63*10^2}{1.48*10^8+3.63*10^8}[/tex]

[tex]=\frac{3.63}{5.11} =0.71[/tex] or 71%

Answer:

3: equally likely

4: likely

Step-by-step explanation:

Question 3:

the spinner has 1, 2, 3, 4, 5, 6

2, 4, 6 are all even number which is 3 / 6 = 1 / 2

so half a chance can be odd or half even possibility of landing

Question 4:

- 13 yellow

- 4 green

- 3 blue

total marbles: 13 + 4 + 3 = 20

yellow / total = 13 / 20

which is more than half of the marbles are yellow

Answer:

V = 4/3 πr³

Step-by-step explanation:

Find the volume of the sphere

The formula for the volume of a sphere is V = 4/3 πr³.

Answer:

volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3,

Let's consider the information given:

Let's consider what we want to find:

Let's consider how the: ⇒ volume, radius, height ⇒ are related

    [tex]Volume = \pi *(radius)^2*height[/tex]

Let's Solve:

  [tex]678.24=3.14 *(6)^2*height\\height=6_.yd[/tex]

Answer: 6 yd

Hope that helps!

The probability that exactly 1 doesn't grow will be 0.07

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15

Using the Bernoulli approximation:

P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵

P(n=1)=9x0.15¹.⁵x0.8⁸.⁵

P(n=1)=0.07

Hence the probability that exactly 1 doesn't grow will be 0.07

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