Rewrite the expression when I distribute the
7(4+9)

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

Leans more about price on

https://brainly.com/question/1153322

#SPJ1

The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Answer:

Convenience sampling

Step-by-step explanation:

sampling plans are defined as ways, strategies used by researchers to select participants for their study. Kinds of sampling includes simple, systematic, stratified, cluster, quota, convenience and judgment(All sampling).

Convenience sampling is a type of sampling method that entails taking or chooses the individuals easiest to researchers reach. It is simply known for its ease of data collection and no random selection. sample is simply a part of a known population selected to act in place or representt the entire population.

Answer: $240.54

Step-by-step explanation: Basically, what you are doing is multiplying both prices then subscract that value from 800 to see which amount goes to school.

Answer:

50%

Step-by-step explanation:

Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

Learn more about Pythagoras:https://brainly.com/question/10174253

#SPJ1

Answer:

x=4

Step-by-step explanation:

Simplifying

-1(7 + -4x) = 9

(7 * -1 + -4x * -1) = 9

(-7 + 4x) = 9

Solving

-7 + 4x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4x = 9 + 7

Combine like terms: -7 + 7 = 0

0 + 4x = 9 + 7

4x = 9 + 7

Combine like terms: 9 + 7 = 16

4x = 16

Divide each side by '4'.

x = 4

Answer:

x = 4

Step-by-step explanation:

-(7 - 4x) = 9             (Given)

-7 + 4x = 9              (Distributed)

-7 + 4x + 7 = 9 + 7  (Add 7 on both sides)

4x = 16                    (Simplify)

4x/4 = 16/4             (Divide 4 on both sides)

x = 4                       (Simplify)

The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.

To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.

The total number of possible outcomes is 6 since there are 6 balls in the jar.

The number of favorable outcomes is 1 since we are interested in selecting ball number 1.

Therefore, the probability of selecting ball number 1 is given by:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 6

To express this probability in decimal form, we divide 1 by 6:

Probability ≈ 0.1666667

Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.

For more such questions on probability visit:

https://brainly.com/question/24756209

#SPJ8

Answer:

\(y=-4x-13\)

Step-by-step explanation:

\(y-y_1=m(x-x_1)\\y-(-1)=-4(x-(-3))\\y+1=-4(x+3)\\y+1=-4x-12\\y=-4x-13\)

The answer is:

Work/explanation:

I will begin by writing the line's equation in point slope:

\(\rm{y-y_1=m(x-x_1)}\)

Where m = slope, (x₁,y₁) is a point.

Plug in the data:

\(\begin{gathered}\sf{y-y_1=m(x-x_1)}\\\sf{y-(-1)=-4(x-(-3)}\\\sf{y+1=-4(x+3)}\\\sf{y+1=-4x-12}\\\sf{y=-4x-12-1}\\\sf{y=-4x-13}\end{gathered}\)

Hence, the answer is y = -4x - 13.

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

Answer:

16

Step-by-step explanation:

The total number of flowers in her garden 16.

Let the total flowers in Miss Lopez's garden is "X"

  Number of flowers of lilies = 10

  So,

        the number of flowers of daisies= (X-10)

According to the question,

  ratio of lilies to daisies in the garden is 5/3

       ⇒10/(X-10) = 5/3

      ⇒ 10=(X-10)×5/3

      ⇒10= (5X - 50)/3

     ⇒30=5X -50

    ⇒5X =80

     ⇒X=\(\frac{80}{5}\)

∴X=16

A linear equation only has one or two variables.

No variable in a linear equation is raised to a power greater than 1.

Learn more about linear equation here: https://brainly.com/question/1884491

#SPJ2

Answer:

the answer is 4

Step-by-step explanation:

the answer will be positive

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

For similar question on confidence interval.

https://brainly.com/question/31044440

#SPJ8  

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

Learn more about bearing at:

https://brainly.com/question/19710752

#SPJ1

Solution :

68 % of the students owns iPod and a smart phone. So

p' = 0.68

q' = 1'

   = 1 - 0.68

   = 0.32

Since CL = 0.97, we know that \($\alpha = 1 - 0.97 = 0.03 $\)

The area to the left of \($z_{0.015}$\) is 0.015 and the area to the right of  \($z_{0.015}$\)  is \($1 - 0.015 = 0.985 $\)

Thus using \($TI \ 83, 83+ \ or \ 84+$\) calculator function \($\text{InvNorm} (0.985, 0.1), z_{0.015} = 2.17$\)

\($\text{EBP} = z_{\alpha / 2} \times \left( \sqrt{\frac{p'q'}{n}}\right) $\)

\($\text{EBP} = 1.645 \times \sqrt{\frac{0.68 \times 0.32}{300}} $\)

       = 0.0269

Therefore, we are ninety seven percent confident that a true proportion of all the students who has iPod as well as a smart phone is between the 0.6531 and 0.7069

a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.

b). Now,

Press the 'STAT' and then arrow over to perform TEST.

Now arrow down to the A:1 - PropZint and then place Enter.

Arrow a down x and then enter the 300 x 0.68

Similarly arrow  a down to given n and then enter the 300

Now arrow down to the C-level and the enter the 0.97

Arrow a down for calculating and press the enter button.

The confidence interval is (0.6531, 0.7069)

a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.

If g(t) is cut in half, then t is doubled. Halving the growth factor halves the rate of growth, reducing the time required for a generation to develop to full size.

Growth factor refers to a mathematical expression or a metric that measures the rate of increase or growth of a quantity over time. It is used in many fields such as biology, economics, finance, and others to quantify the increase in size, population, revenue, or any other variable of interest. The growth factor can be represented as a ratio, percentage, or an exponential function and is used to predict future growth based on past trends.

3 potential points

Three tries are permitted.

If g(t) is divided in half, t is also divided in half. This is because the growth factor is a measure of the rate of growth, and halving it equals halves the rate of growth. As a result, the time required for a generation to develop to full size is cut in half.

To know more about rate visit:

brainly.com/question/29765585

#SPJ1

The  average density of the planet is approximately 5.6g/cm³

The formula for density is expressed as;

D = m/v

Such that;

From the information given, we have that;

Volume = 1.02×10⁹ km³

Mass = 5.683 × 10²¹ kg

Convert the parameters

Volume = 1.02×10²⁴cm³

Mass = 5.683 × 10²⁴g

Substitute the values, we have;

Density = 5.683 × 10²⁴g/1.02×10²⁴cm³

Density = 5.6g/cm³

Learn about density at: https://brainly.com/question/1354972

#SPJ1

With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

Learn more about The confidence interval:

https://brainly.com/question/20309162

#SPJ4

Answer:

Step-by-step explanation: I hope this helps you! you should just be able to click on the image.

Answer: B C D

Step-by-step explanation:

The surface area of lake y is 398.4 ft²

The perimeter of lake x is 172 ft

From the question, we are to determine the surface area of lake y.

From the given information,

Lake x has a similar shape as lake y.

and

The similarity ratio of the lake sis 4:5

Thus,

From one of similarity theorems, we can write that

4²/5² = Area of lake x / Area of lake y

From the given information,

The surface area of lake x is 255 ft²

Therefore,

4²/5² = 255 / Area of lake y

16/25 = 255 / Area of lake y

Area of lake y = (25 × 255) / 16

Area of lake y = 398.4 ft²

Also,

From one of similarity theorems, we can write that

4/5 = Perimeter of lake x / Perimeter of lake y

From the given information,

Perimeter of lake y is 215 ft

Thus,

4/5 = Perimeter of lake x / 215

Perimeter of lake x = (4 × 215) / 5

Perimeter of lake x = 172 ft

Hence, the perimeter is 172 ft

Learn more on Calculating surface area and perimeter here: https://brainly.com/question/21406326

#SPJ1

Answer:

x = 2 and y = 7.  This is 2 unknown and 2 equation...It's simply to combine. as below.

Step-by-step explanation:

-6x + 2y =2---> simplify like -3x + y = 1 then column add with -4x - y = -15---> so -7x = -14---->x = 2 and  -4 (2) - y = -15 ---> -8 + 15 = y....so y = 7..

Answer is x = 2 and y = 7...

The speed of the rabbit in miles per hour is 50.33 mi/h.

We know that the speed of the jackrabbit is:

1.35 km/min.

Now we need to use the relations:

1 hour = 60 minutes.

So, in one hour, the rabit runs 60 times the distance that it runs in one minute, then:

1.35 km/min = 60*(1.35 km/h) = 81km/h

Now we need to change kilometers for miles.

1km = 0.6214 mi

Then we can rewrite:

81km/h = 81*0.6214mi/h = 50.33 mi/h

The speed of the rabbit in miles per hour is 50.33 mi/h.

If you want to learn more about changes of units:

https://brainly.com/question/9032119

#SPJ1

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

Learn more about the equation of the parabola on https://brainly.com/question/4074088

#SPJ1

Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Best explanation is from option B :This equation is true because both sides of the equation are equal to 10.4.

Define equation ?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

What are an expression and sentence in mathematics?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. As a mathematical expression, this proposition is denoted by the expression x/2 + 6.

By solving both equation :

The left side of the equation is

22.4 - 2 x 6 = 10.4.

The right side of the equation is

24 ÷ 6 + (12 – 5.6)

= 4 + 6.4 = 10.4.

This calculation says that equation is true and both sides are equal.

To know more about equation visit:

brainly.com/question/29657983

#SPJ1

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:100,000

Step-by-step explanation: