Brad is going to send some flowers to his wife. Silvergrove Florist charges $3 per rose, plus $20 for the vase. Noah's Flowers, in contrast, charges $1 per rose and $30 for the vase. If Brad orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. What would the total cost be?Write a system of equations, graph them, and type the solution.

Answer:

6

Step-by-step explanation:

Because 25 ones is 25

So 85 - 25 = 60

60 = 6 tens

The given diagram is a pentagon with different side measurements.

The perimeter is defined as the sum of all external boundaries of the figure.

So the perimeter (P) of the pentagon is equal to the sum of the 5 sides of the figure,

Thus, the perimeter of the figure is,

The empirical rule states that 65% of the data under the normal curve is within 1 standard deviation of the mean, 95% of the data is within 2 standard deviations of the mean, and 99% is within 3 standard deviations of the mean.

The approximation to the distribution of the sample proportion has the following shape:

The mean of the distribution is the sample proportion: μ= p

The standard deviation of the distribution is the square root of the variance

σ=√[p(1-p)/n]

For the given distribution:

μ= 0.14

σ= 0.02

95% of the distribution is μ ± 2σ

Upper bound:

Lower bound:

The 95% confidence interval is [0.10;0.18]

EXPLANATION:

To calculate the diagonal distance we must follow the following steps:

-The length corresponds to the horizontal dimension of the screen.

-The height corresponds to the vertical dimension of the screen.

Now we must apply Pythagoras' theorem

We have the next given function:

To find the first point, we need to use:

Solve the equation for x:

So, when x=0, we got the first point (0, -2), because:

Then

Let's find the points on right, let use x=8 and x=27

Replace on the function, when x=8

So, it represents the point (8,0)

Now, when x=27

This corresponds to the point (27,1)

Now, for points on the left side:

When x=-8

Which represents the point (-8,-4)

When x=-27

Which represents the point (-27, -5)

Finally, graph these four points on the cartesian plane.

Answer:

Note:

Integers are whole numbers.

They include 0, negative whole numbers, and positive whole numbers

Since the condition to win the rafle is to pick an interger, let us consider the number picked by each of the students and see if it is an integer or not.

Cecily picked 6.7

This is a decimal number, it is not an integer

Marty picked -37

This is an integer, since it is not a decimal and does not have a fraction component

Jon picked 7/9

This is a proper fraction, and it is not an integer

Fiona picked 3 1/3

This is a mixed fraction, it is not an integer.

The only student that picked an integer number is Marty, hence, she is the winner of the raffle.

Part 1

Remember that

The rate of change is the same that the first derivative

so

The rate of change appears to be zero at times

t=1 weeks

t=4 weeks

t=6 weeks

Part 2

which of the following is true?

Verify each option

W'(3) > W'(7) -----> is not true

W'(3)=W'(7) is not true

which of the following is true?

Verify each option

therefore

the graph is

Since the second equation is x in function of y, we can use the substitution method to find y and then find x

First, we substitute x from the second equation into the first equation:

And solve for y:

And now we replace y = -3 into the second equation:

The x-value of the solution is 1

Answer:

The expression equivalent to the given logarithm is:

Explanation:

We want to know which expressions are equivalent to

We have:

Given

The system of equations,

To find the solution.

Explanation:

It is given that,

From (1),

Substitute y in (2).

Then,

That implies,

Therefore, for x=3,

For x=4,

For x=-4,

Hence, the solution set is (3,18), (4,9), (-4,81).

Given the negative number

Four decimal places implies there should be four digits after the decimal point. in the absence of no digit, add zero to complete the number of required decimal place. To round the number above to four decimal places, we will have

Hence, -1.47 rounded to four decimal places is -1.4700

Use the formula above to find the surface area of a cylinder.

For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:

Surface area:

Solution:

Given the trapezoid:

To solve for the height of the trapezoid, we use the trigonometric ratio.

From the trigonometric ratios,

In this case, in the triangle AEB, θ is ∠A.

Thus,

By cross-multiplying, we have

Hence, the height of the trapezoid is

Answer:

-5 I think

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

1. Since f(-1) is -1, substitute it into the x's of the equation. The question would now be 4(-1)^2+5(-1)-4.

2. Solve and it would be -5

SOLUTION

The given polynomail is

To be divided by

Since the question requires to find the remainder

Then following remainder theorem

Set 3x+5 to zero and solve for x

Substitute x=-5/3 into the given polynomial to get the remainder

Therefore, the remainder is

start sketching the first inequality taking into account that it is all the region above the line of slope 1/2 and crosses over -3

then, do the same for the second equation over the same plane and look at the intersection

the shaded region should be the triangle at the left since the region is a solution to both inequalities.

The wording for the decimal will be:

1.1 = one point one

0.11 = zero point eleven

0.2 = zero point two

0.21 = zero point two one

10.1 = ten point one

It is important to note that a decimal simply means the number that's made of a whole number and a fraction.

From example 10.1 in wordings will be ten point one. In this case, the students are asked to add one tenth and 0.1. The decimals have been given in words above.

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The inequality is given as,

Note that the denominator can never be zero otherwise the rational function would become indeterminate. So we have to exclude the value at which the denominator,

So the function is not defined at x = - 6.

Consider that the division of the numbers can be non-positive, only if exactly one of the numbers is non-positive.

So we have to obtain the interval in which one of the factors is positive and the other is negative.

CASE-1: When the numerator is positive and the denominator is negative,

apply the property of the potency for those that have coefficients

apply the product property and the quotient product to leave it as a single log

simplify the expression using this properties

Given a table that shows values for a linear function, f(x). we are asked to determine the equation of f(x).

Table:

x f(x)

-1 -8

3 -5

7 2

11 1

First, let us consider the lines of the equation as:

f(x) = ax + b

When x = -1 f(x) = -8

f(-1) = a(-1) + b

-8 = -a + b ------------------ eqn I

When x = 3 f(x) = 5

f(3) = a(3) + b

-5 = 3a + b ------------------- eqn II

subtract eqn I from eqn II:

-5 - (-8) = (3a + b) - (-a + b)

-5 + 8 = 3a + b + a - b

3 = 4a (-b and +b cancels out).

divide both sides by 4:

a = 3/4

Let's put the value of a = 3/4 into equation I

-8 = -a + b

-8 = -3/4 + b

make b the subject of formula:

b = -3/4 + 8

b = -32 + 3

4

b = -29/4

Let's now place the values of a an b into the lines equation:

recall the lines equation is :

f(x) = ax + b

f(x) = 3/4 x - 29/4.

Given that AC, DF, and GI are parallel, we can see that line JH bisects angle J. This means that triangles formed with the parallel lines are similar. Considering triangle JDF,

JF corresponds to JD

FE corresponds to DE

Thus, the ratios are

JF/FE = JD/DE

Remember that:

Dividing both sides by 180° we get:

Which we can use as conversion factor to convert degrees to radians.

For an angle of 225°:

Therefore, in terms of π:

ANSWER:

128.84 cubic inches.

STEP-BY-STEP EXPLANATION:

We have that the volume of a sphere is given by the following equation:

The radius equals half the diameter, therefore we can calculate the radius as follows:

The volume of the sphere with the diameter of 6.2 is 128.84 cubic inches.

Polynomial is commutative under addition and non-commutative under subtraction.

Given, the properties of integer addition and subtraction.

Now, we have to check the properties apply to polynomial or not

Let, a polynomial be p(x) = 2x²+3x+5

and other polynomial be q(x) = x²+2x+3

Now, on adding, we get

p(x) + q(x)

(2x²+3x+5) + (x²+2x+3) = 3x²+5x+8

also, q(x) + p(x)

(x²+2x+3) + (2x²+3x+5) = 3x²+5x+8

So, as p(x) + q(x) = q(x) + p(x)

Therefore, polynomial is commutative under addition

Now, on subtracting, we get

p(x) - q(x)

(2x²+3x+5) - (x²+2x+3) = x²+x+2

also, q(x) - p(x)

(x²+2x+3) - (2x²+3x+5) = -x²-x-2

So, as p(x) + q(x) ≠ q(x) + p(x)

Therefore, polynomial is non-commutative under subtraction.

Hence, polynomial is commutative under addition and non-commutative under subtraction.

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KS is common in both the triangles

so, to complete SSS rule KS = KS will be the answer.

so the answer is b

The diameter of the circle is given as

The given radius is

Therefore, the diameter will be

Hence,

The diameter of the circle =18 centimeters

Probability that the marble is not yellow = 5/12

Number of red marbles, N(Red) = 6

Number of blue marbles, N(Blue) = 4

Number of yellow maebles, N(Yellow) = 14

Total number of marbles, N(Total) = N(Red) + N(Blue) + N(Yellow)

N(Total) = 6 + 4 + 14

N(Total) = 24

Probability that the marble chosen is yellow, P(yellow) = N(yellow) / N(Total)

P(yellow) = 14/24

P(yellow) = 7/12

P(yellow) + P(not yellow) = 1

P(not yellow) = 1 - P(yellow)

P(not yellow) = 1 - 7/12

P(not yellow) = 5/12

Probability that the marble is not yellow = 5/12

The amount earned, calculated using the formula for geometric progressions are as follows;

(A) The income on day 31 =$1,073,741,824

(B) Total income for 31 working days = $2,147,483,647

A geometric progression is one in which each subsequent term is a constant multiple of the previous  term

(A) The function that indicates the amount earned on the nth day is the formula for a geometric progression , which can be presented as follows;

[tex]a_n = a_1\cdot r^{n-1}[/tex]

The sum is presented as follows;

[tex]S_n =a_1\cdot \dfrac{1 - r^n}{1 - r}[/tex]

Therefore;

The common ratio, r = 2

The first term, a₁ = 1

The amount received on day 31 is therefore;

[tex]a_{31} = 1\times 2^{31-1} = 1,073,741,824[/tex]

Income on day 31 = $1,073,741,824

(B) The total income in 31 days is therefore;

[tex]S_{31} =a_1\cdot \dfrac{2^{31} - 1}{2- 1}== 2,147,483,647[/tex]

The total income in 31 working days = $2,147,183,647

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The thousands place is corresponding to the digit that if fourth from the unit.

So the digit in the thousands place of 506,234 is 6.