Find the product
(2y-7)(3y+5)=

Answer:

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Let's denote the cost of one rose bush as r and the cost of one pot of ivy as i.

We can write two equations based on the information provided:

Solve the system by elimination, double the first equation and subtract the second one:

Pot of ivy costs $8.

Find r by substituting 8 for i:

Rose bush costs $12.

So we get the option B provided as a choice.

Option B is correct, the cost of rose bush is $12 and cost of pot of ivy is $8.

Given that Elisa spent $124 on 7 rose bushes and 5 pots of ivy.

7R+5I=124...(1)

Kathryn spent $176 on 14 rose bushes and 1 pot of ivy.

14R+I=176

I=176-14R...(2)

We have to find the cost of rose and pot of ivy

Substitute equation (2) in (1)

7R+5(176-14R)=124

7R+5(176)-5(14R)=124

7R+880-70R=124

880-63R=124

880-124=63R

756=63R

R=$12

Now let us find the cost of I

I=176-14R

I=176-14(12)

I=176-168

I=$8

Hence, option B is correct, the cost of rose bush is $12 and cost of pot of ivy is $8.

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Answer : \(22.000\) x \(10x^{3}\)

Step-by-step explanation:

Answer:22 x 10^3

Step-by-step explanation:

Answer:

a)\(a_{n}\) =−2n+14

b)\(a_{n}\)  = − 5 n + 30

Each sales associate working under Golf Realty could potentially face charges related to practicing real estate without a valid license. If Golf Realty allowed their real estate brokerage license to lapse.

Real estate licensing is a legal requirement for individuals involved in real estate transactions, including sales associates. If Golf Realty allowed their real estate brokerage license to lapse and the sales associates continued to practice real estate without a valid license, they could be charged with unauthorized practice of real estate or a similar offense.

The specific charges and legal consequences may vary depending on the jurisdiction and applicable laws. In many jurisdictions, practicing real estate without a license is considered a serious offense as it undermines consumer protection and regulatory requirements. Penalties for unauthorized practice may include fines, license suspension or revocation, and potential civil liability for any harm caused to clients or parties involved in the transactions.

It is important for individuals working in the real estate industry to ensure that they maintain valid licenses and comply with all relevant regulations to avoid potential legal issues. If the sales associates were unaware of the lapsed license and can demonstrate good faith in their actions, it may be taken into consideration during any legal proceedings.

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We may conclude after answering the presented question that As a Pythagorean theorem result, walking diagonally across the park is approximately 5.6 miles shorter than walking along two sides of it.

The Pythagorean theorem is a fundamental mathematical principle that describes the connection between the sides of a right triangle. It asserts that the sum of the squares of the other two sides' lengths equals the square of the hypotenuse's length (the side opposite the right angle). Mathematically, the theorem is as follows: c^2 = a^2 + b^2 Where "c" denotes the hypotenuse length and "a" and "b" indicate the lengths of the other two sides, known as the legs.

hypotenuse = \(\sqrt(12^2 + 8^2) = \sqrt(144 + 64) = \sqrt(208) = 14.4 miles\)

We can simply sum the length and breadth of the rectangle to compute the distance of walking along two sides of the park:

20 miles = 12 + 8 miles

The difference in mileage between going diagonally across the park and strolling along two sides of it is:

20 - 14.4 ≈ 5.6 miles

As a result, walking diagonally across the park is approximately 5.6 miles shorter than walking along two sides of it.

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The expression is to be written in complete square method and the value will be equal to  (x + 5/2)² + 7/4.

The expression x² + 5x + 8 is a quadratic polynomial and a quadratic polynomial is one which can be written in the form ax² + bx + c; where a, b and c are constant values and x is the independent variable. Now in order to write the expression by using completing square method we write the polynomial as

x² + 5x + 8

We divide the coefficient of x that is 5 by 2 so we get

x² + (5/2)x + 8

Now, we add and subtract the square of coefficient of x that is 5/2 so we get

x² + (5/2)x + 8 + (5/2)² - (5/2)²

From the above expression we get

(x + 5/2)² + 8 - 25/4

(x + 5/2)² + (32 - 25)/4

(x + 5/2)² + 7/4

Thus we have written the expression in the form (x + p)² + q as (x + 5/2)² + 7/4.

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Answer:

A

Step-by-step explanation:

Step-by-step explanation:

that is a strange way to express to situation.

what they mean here is that the perimeters are of identical lengths.

other than the total length the perimeters have nothing in common. therefore, I would have never used the word "congruent" for that. if that would have been the answer to a question like "what statement describes the relationship between the 2 perimeters ?", I would have flagged this as wrong.

anyway, so, the perimeters are of equal length. that means

x + 6 + x + 3 + x + 9 = 2(x + 4) + 2(x + 1)

3x + 18 = 2x + 8 + 2x + 2 = 4x + 10

3x + 8 = 4x

8 = x

Step-by-step explanation:

In the diagram, AB is adjacent to Angle"a", because if we don't consider hypotenuse, it is the only associated segment to the angle.

The segment opposite to the right angle is called Hypotenuse.

The last one, AC segment, is called the Opposite because it is the opposite to Angle"a".

If we look at it from AngleC, however, its Adjcent will be segment AC, and Opposite will be segment AB.

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

\(x=number\hspace{5em}x^2=\textit{squared number} \\\\\\ \stackrel{\textit{difference of }x^2\textit{ and 18}}{x^2~~ - ~~18}~~ = ~~\stackrel{\textit{three times }x}{3x} \\\\\\ x^2-3x-18=0\implies (x-6)(x+3)=0\implies x= \begin{cases} 6\\\\ -3 ~~ \checkmark \end{cases}\)

The selection of the appropriate immune suppressant is made by healthcare professionals based on the specific needs of each patient.

The most commonly used immune suppressant in medical practice is a medication called "cyclosporine." Cyclosporine belongs to a class of drugs known as calcineurin inhibitors and is primarily used to prevent organ transplant rejection.

The activity of T-cells, which are a type of immune cell involved in the body's immune response.

Cyclosporine is also used in the treatment of various autoimmune diseases, such as rheumatoid arthritis and psoriasis, where the immune system mistakenly attacks the body's own tissues.

T-cell activity, cyclosporine helps to reduce the inflammatory response and prevent further damage to the affected organs or tissues.

It's important to note that there are several other immune suppressants available, and the choice of medication depends on the specific condition being treated, the patient's overall health, and individual factors.

A commonly used immune suppressants include corticosteroid methotrexate, azathioprine, mycophenolate mofetil, and tacrolimus.

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Complete question:

While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is what?

The probability distribution for X, the number of attempts at the claw picking up a stuffed animal, is the geometric distribution. The probability of the gripper picking up a stuffed toy on the 4th try, assuming independent trials, is approximately 0.0814 or 8.14%.

The probability distribution that X (the number of attempts at the claw picking up a stuffed animal) follows in this scenario is the geometric distribution.

In a geometric distribution, the probability of success remains constant from trial to trial, and we are interested in the number of trials needed until the first success occurs.

In this case, the probability of the grappling claw catching a stuffed animal on each attempt is 1/15. Therefore, the probability of a successful catch is 1/15, and the probability of failure (not picking up a stuffed toy) is 14/15.

To find the probability that the gripper picks up a stuffed toy on the 4th try, we can use the formula for the geometric distribution:

P(X = k) = (1-p)^(k-1) * p

where P(X = k) is the probability of X taking the value of k, p is the probability of success (1/15), and k is the number of attempts.

In this case, we want to find P(X = 4), which represents the probability of the gripper picking up a stuffed toy on the 4th try. Plugging the values into the formula:

P(X = 4) = (1 - 1/15)^(4-1) * (1/15)

P(X = 4) = (14/15)^3 * (1/15)

P(X = 4) ≈ 0.0814

Therefore, the probability that the gripper picks up a stuffed toy on the 4th try, assuming the trials are independent, is approximately 0.0814 or 8.14%.

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Answer: j  = 7

Step-by-step explanation:

if we do 42 divided by 6 we would have a quotient, 7 so j would be equal to 7.          Hope this helped ^^

Answer:

j  = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

formula for equation is

y=mx+b

b= y-intercept, meaning when x is 0, y=b

b= -1

m is slope = rise/run or \(\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)

(1,2) (2,5)

m=\(\frac{5-2}{2-1} = \frac{3}{1}\)     I picked the last 2 points because positive numbers are easier

m=3

now put into formula

y=3x-1

a) The boat's speed relative to the ground when it is heading east with the current is 14.7 m/s (east).

b) The boat's speed relative to the ground when it is heading west against the current is 10.1 m/s (east).

Given that a boat moves at 12.4 m/s relative to the water.

We need to determine speed of boat if the current crested east at 2.30 m/s, and west, against the current,

To determine the boat's speed relative to the ground when it is heading east with the current, we need to add the velocity of the current to the boat's velocity relative to the water.

Given:

Boat's velocity relative to the water = 12.4 m/s (east)

Velocity of the current = 2.30 m/s (east)

To find the boat's speed relative to the ground when heading east, we add the velocities:

Boat's velocity relative to the ground (east with the current) = Boat's velocity relative to the water + Velocity of the current

Boat's velocity relative to the ground (east with the current) = 12.4 m/s (east) + 2.30 m/s (east)

Boat's velocity relative to the ground (east with the current) = 14.7 m/s (east)

Therefore, the boat's speed relative to the ground when it is heading east with the current is 14.7 m/s (east).

To determine the boat's speed relative to the ground when it is heading west against the current, we subtract the velocity of the current from the boat's velocity relative to the water.

Boat's velocity relative to the ground (west against the current) = Boat's velocity relative to the water - Velocity of the current

Boat's velocity relative to the ground (west against the current) = 12.4 m/s (east) - 2.30 m/s (east)

Boat's velocity relative to the ground (west against the current) = 10.1 m/s (east)

Therefore, the boat's speed relative to the ground when it is heading west against the current is 10.1 m/s (east).

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Answer:

C

Step-by-step explanation:

It would be the second next after. :)

Answer:

IT IS 85 popsicles

Step-by-step explanation:  it is in between the two

Answer:

\(A = 212.1 \text{ cm}^2\)

Step-by-step explanation:

We can identify the bases of the trapezoid as:

9cm and 21.3 cm

(notice how they are parallel)

We know the height is 14 cm.

Using these values, we can solve for the trapezoid's area.

\(A = \dfrac{1}{2}(b_1 + b_2) \cdot h\)

↓ plugging in the values

\(A = \dfrac{1}{2}(9 + 21.3) \cdot 14\)

↓ simplifying the parentheses

\(A = \dfrac{1}{2}(30.3) \cdot 14\)

↓ multiplying 14 and (1/2)

\(A = 7 \cdot 30.3\)

↓ multiplying

\(A = 212.1 \text{ cm}^2\)

Answer:Phil Wickham - Great Things (Official Lyric Video) -

Step-by-step explanation:

0.46

Step-by-step explanation:

23÷50= 0.46

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.

.

.

.

Answer:

48 people

Step-by-step explanation:

The given ratio is 2:3

The total is 120

Let the common ratio be x

So it can be divided as 2x, 3x

Their sum is 2x+3x=120

5x=120

x= 24

24×2=48

24×3=72

⟹48, 72

Answer:

Maybe make a  Y_O_U_T_U_B_E channel

Step-by-step explanation:

Answer:

You can sell stuff that are expensive

Step-by-step explanation:

do you have 2 dollar bills those can sell up to like 1900 dollars depending on how old they are

The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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The conclusion from the equation |y + 6| = 2 is that it has two solutions , the correct option is (b) .

In the question ,

it is given that ,

the equation is given as |y \(+\) 6| \(=\) 2 ,

after removing the modulus  , we get the two equations , that are

y + 6 = 2 and y + 6 = -2

Solving y + 6 = 2 , we get

y + 6 = 2

Subtracting 6 from both LHS and RHS ,

we get

y = 2 - 6

y = -4

On Solving y + 6 = -2 ,

we get

y + 6 = -2,

Subtracting 6 from both LHS and RHS ,

we get

y = - 2 - 6

y = -8 .

the two solutions are y = -8 and y = -4 .

Therefore , The conclusion from the equation |y + 6| = 2 is that it has two solutions , the correct option is (b) .

The given question is incomplete , the complete question is

Consider this equation. |y + 6| = 2 what can be concluded of the equation? check all that apply.

(a) There will be one solution

(b) There will be two solutions.

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Answer:

A,B, C is the answer

Step-by-step explanation:

35 +25 +15 +25= 100

I hope this helps

dD/dt = 70, rate is the distance between the cars increasing two hours later

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

Hence, dD/dt = 70, rate is the distance between the cars increasing two hours later.

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Answer: 9.2 years

Step-by-step explanation:

Given the following :

Mean(m) = 11.7 years

Standard deviation (s) = 1.2 years

Recall the z-score formula :

Z = (x - m) / s

We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.

2% = 0.02

0.02 falls most closely to 0.02018whuch is under - 2.05.

Using the z-score value in the formula above :

-2.05 = (x - 11.7) / 1.2

Cross multiply

(-2.05 × 1.2) = x - 11.7

-2.46 = x - 11.7

x = - 2.46 + 11.7

x = 9.24 years

1min=4 newspapers

3min=12 newspapers

how I got 1min=4 newspapers

so I took how he got 20 newspapers in 5 min divided 20 by 5

which I got 4 out of than I did 4x3 and got 12 which means 3mins= 12 newspapers

brainleys please

Answer:

Step-by-step explanation:

2: 4/2 is 2

3: 4/3 is 1 1/3

4: 4/4 is 1

5: 4/5 is .8

x                                       y                                       y/x

2                                      2                                      4/2

3                               1 1/3 or 1.333...                        4/3

4                                      1                                        4/4

5                                 4/5 or 0.8                              4/5

Hope this Helped! :)

-SGO

Step-by-step explanation:

7. 180 -92 -67 =21. 180-21 = 159

8.180-144 = 36 + 94 = 130 180-130 = 50

Answer:

Step-by-step explanation:

TWO RULES:

⊳ Angles in a triangle add up to 180

⊳ Angles on a straight line also add up to 180

=================================================================

QUESTION 1

92 + 67 + x = 180

x + 159 = 180

x = 21

180 - 21 = 159

? = 159

=================================================================

QUESTION 2

144 + x = 180

x = 36

94 + 36 + ? =180

130 + ? =180

? = 50

=================================================================

!     HOPE I HELPED     !