a pharmaceutical company conducted a study to evaluate the effect of an allergy relief medicine; 250 patients with symptoms that included itchy eyes and a skin rash received the new drug. the results of the study are as follows: 90 of the patient's treated experienced eye relief, 135 had their skin rash clear up, and 45 experienced relief of both itchy eyes and the skin rash. what is the probability that a patient who takes the drug will experience relief of at least one of the two symptoms?

The "Daisy Ad" for President Johnson's 1964 presidential campaign   (credited as an important factor in Johnson's landslide victory over Batty Goldwater,) aired only once.

The "Daisy Ad" is a famous political advertisement that aired during the 1964 presidential campaign between President Lyndon B. Johnson and Senator Barry Goldwater. It is widely recognized as a highly impactful and influential advertisement. Despite its significant impact, the ad was actually broadcasted only once.

The ad featured a little girl counting the petals of a daisy before transitioning to a nuclear explosion, symbolizing the potential consequences of electing Goldwater as president. The ad aimed to evoke fear and concern about the possibility of nuclear war, ultimately contributing to Johnson's landslide victory in the election.

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Answer:

36cm² is the answer.....

Answer:

Adult is 10$ and Child is 7$.

Unfortunately for the family, they do not have enough to go to the theater. They do not have that extra dollar.

Hope this helps!

Step-by-step explanation:

2x + 4y = 48

5x + 2y = 64

2x + 4y = 48

10x + 4y = 128

( 10x - 2x ) + ( 4y - 4y ) = ( 128 - 48 )

8x = 80

x = 10

2 ( 10 ) + 4y = 48

20 + 4y = 48

4y = 48 - 20

4y = 28

y = 7

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

Answer:

D. 0.00003471

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is lacking appropriate diagram. Find the diagram to the question attached.

From the diagram, it can be seen that AD = AB+BC+CD

Given the following

AD = 23units

AB = 4units

CD = 12units

To get C=BC, we will substitute the given segments into the expression above as shown;

23 = 4+BC+12

23 = BC + 4 + 12

23 = BC+16

Subtract 16 from both sides

23-16 = BC+16-16

7 = BC

Hence the length of segment BC is 7units.

Answer:

no

Step-by-step explanation:

the x value (-1) repeats therefore it ain't a function

Answer:

D=375g/cubic inch

Step-by-step explanation:

D=500 divided by 4/3

Answer:

-6

Step-by-step explanation:

Well you just plug in the value 3 for x. This will give you the following equation: \(\frac{4(3+3)(3+1)}{(3+5)(3-5)}\) which simplifies to \(\frac{4(6)(4)}{(8)(-2)}\) which further simplifies to \(-\frac{96}{16}\) which can further be simplified by dividing the two numbers and that results in -6

Answer:

A

Step-by-step explanation:

it really only means to replace every x by 3 and then simply calculate.

4(3+3)(3+1) / ((3+5)(3-5)) =

= 4×6×4 / (8×-2) = 96/-16 = -6

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

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The graph is a horizontal line where all values for y are -2.

Now, According to the question:

What is called graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Generally, graphs show a function, for example,

y = x −3. In that case, one would draw a graph by substituting an x value into the equation and connecting the points.

In this case, however, there are no x values in the equation. Therefore, regardless of the number on the x-axis, the y value will remain the same (−2). Therefore, the line will be a horizontal line with a slope of zero and a y-intercept of −2.

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Answer:

A

Step-by-step explanation:

Answer:

Reflection over y = 1

Step-by-step explanation:

Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

The number of students for whom Mr. Jones had to buy calculators are 23.

A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -

y = 5x + 4

2x + 3y = 5x + 8π

cos(ny) = sin(πx)

Given is Mr. Jones who buys a calculator for each of his students. He paid a total of $276 with each calculator costing $12 a piece.

Assume that [s] represents the number of students Mr. Jones has.

The cost of 1 calculator = [c] = $12

Then, the cost of [s] calculators will be = [m] = $12s

Total money paid = [N] = 276

Therefore, we can write -

[m] = [N]

12s = 276

s = (276/12)

s = 23

Therefore, the number of students for whom Mr. Jones had to buy calculators are 23.

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The equation which represents the cost of one square foot of flooring is   x = $3.45.

Let the cost of one square foot of flooring be = x,

We know that the store is selling 60 square feet of flooring for $287, which includes a $80 installation fee.

So, the cost of 60 square feet of flooring is

⇒ $287.00 - $80.00 = $207

To find the cost of one square foot of flooring, we divide the cost of 60 square feet by 60,

Which is,

⇒ $207/60 = $3.45

Therefore, the cost of one square foot of flooring is represented by the equation x=$3.45.

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The given question is incomplete, the complete question is

A home improvement store advertises 60 square feet of flooring for $287.00 including a $80 installation fee. Write an equation to represent the cost of one square foot of flooring.

Answer:

1 bag of 64

2 bags of 32

4 bags of 16

Or 8 bags of 8

Step-by-step explanation:

that's the answer I think for however your answer is there were no answers to pick from....

The derivative of the given function using product rule is 6x+1 .

What is Product Rule?

This rule is used when we want to differentiate a function that may be regarded as the product of one or more functions.

Let u(x) and v(x) be differentiable functions.Then the product of the functions u(x)v(x) is also differentiable and: (uv)′=u′v+uv′

Main Body:

We add the derivative of the first times the second to the first times the

derivative of the second.

Power Rule:

If f(x)=xn

where n is any real number, then:

(xⁿ)′=nxⁿ⁻¹

. We have,

f(x) = (x-1) (3x+4)

Differentiate with respect to z by using product rule

(uv)′=u′v+uv′

h' (x) = (x-1)' (3x+4) +(x-1)(3x+4)'

h'(X) = 1(3x+4) + (x-1) (3)

On simplifying:

h'(x) = 3x+4 +3x-3

h'(x) = 6x +1

Hence the derivative of function is 6x+1.

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Answer:

2nd equation does not pass the vertical line test

(7,9) (7,3) (x,y)

because one x (input) should have one y (output)

however, one y (output) can have multiple x (inputs)

The restaurant sold 41 ham dinners.

Let's call the number of ham dinners sold as "x".

We know that the total revenue from ham dinners is $12 * x and the total revenue from turkey dinners is $15 * 35.

So, the total revenue from both dinners is $12 * x + $15 * 35 = $1017.

We can now set up an equation:

$12 * x + $15 * 35 = $1017

Expanding the equation:

$12x + $525 = $1017

Subtracting $525 from both sides:

$12x = $1017 - $525 = $492

Dividing both sides by 12:

x = $492 / $12 = 41

So, the restaurant sold 41 ham dinners.

Answer:

D

Step-by-step explanation:

To solve this question we can use the area formula for an octagon.

It is as follows:

A=2(1+√2)a^2

where "A" is the total area and "a" is the length of a side.

Plug in our side length a=10.4

A=2(1+√2)10.4^2

≈522.24268

Alternatively, you can split the octagon into 8 equal triangles.

The base of each triangle would be 10.4 and the height would be 12.5 since opposite sides are 25 feet apart. (25/2)

The area of a triangle would then be:

A=1/2bh

where "b" is base and "h" is height

A=125*10.4*1/2

=65

Since there are 8 we multiply that by 8 for the area of an octagon

65*8=520

The area of the octagon base is 520 square feet.

I'll use this value to do my calculations as it is more exact.

Now, using this area, we need to find the volume of the pool we are meant to fill.

To do this, we simply multiply the area of the base by the height.

520*3=1560

Now, we know that the volume of the pool is 1560 cubic feet.

Each cubic foot takes 7.5 gallons to fill.

1560*7.5=11700

Therefore, the pool takes 11700 gallons of water to fill.

Answer:

100 is perfect square

Step-by-step explanation:

in x² =100, we have x×x=100 and x could be ±10 since both 10² and (-10)² is equal to 100

The calculation; (9.04-8.23+21.954+81.0) * 3.1416 should have three significant figures.

To determine the number of significant figures in a calculation, we follow these rules:

1. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.

2. When multiplying or dividing numbers, the result should have the same number of significant figures as the number with the fewest significant figures.

Let's calculate the expression:

(9.04 - 8.23 + 21.954 + 81.0) * 3.1416

First, perform the addition and subtraction:

(0.81 + 21.954 + 81.0) * 3.1416

= 103.764 * 3.1416

Next, perform the multiplication:

325.8512544

To determine the number of significant figures, we look at the original numbers involved in the calculation.

9.04 has three significant figures.

8.23 has three significant figures.

21.954 has five significant figures.

81.0 has three significant figures.

3.1416 has five significant figures.

Among these numbers, the number with the fewest significant figures is 81.0 with three significant figures.

Therefore, the result of the calculation, 325.8512544, should have three significant figures to match the least precise value.

In scientific notation, the result would be expressed as 3.26 x 10^2.

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The given calculation would yield a result with five significant figures because we base our significant digits off of the least precise term within the parentheses, which is 81.0. The result is then rounded according to this rule.

In the case of the calculation (9.04-8.23+21.954+81.0) * 3.1416, it's important to first consider the rule for significant figures in calculations - the result should be reported with the smallest number of decimal places in the numbers used in the calculation. The number 81.0 has two numbers after the decimal point, therefore, our final answer should have two numbers after the decimal point. When you calculate the inside of the parentheses, the result is 103.764. Multiplying that by 3.1416 would approximately yield 325.854. Rounding this to the least precise measurement (which is to two decimal places due to 81.0) would give us 325.85 which has five significant figures, effectively limiting our calculated value to five significant figures.

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Answer:

18.7 units

Step-by-step explanation:

Diagonal² = 1² + 1²

                 = 2

\(\sf diagonal = \sqrt{2} = 1.41\\\)

Perimeter = 3 + 3 + 9 *1.41

                =  3 + 3 + 12.69

                = 18.7 units

this is too complicated

The types of symmetry that this geometric figure has include the following:

In Mathematics, rotational symmetry is sometimes referred to as radial symmetry and it can be defined as the property that a geometric figure (shape) has when it looks the same as the original figure, after some rotation on its own axis by an angle between 0° and 360°.

In Geometry, a point symmetry can be defined as a type of symmetry in which a geometrical figure (shape) is divided into two (2) equal and symmetrical parts by a central point.

In this context, we can reasonably and logically deduce that this geometrical figure (shape) has both a point symmetry and rotational symmetry.

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The dimensions of the rectangular field with the largest area are w = 600 feet and L = 1200 feet.

Let's denote the width of the rectangular field by w and its length by L.

Since the field borders a straight river, we only need to fence three sides of the rectangle, which gives us:

2w + L = 2400

Solving this equation for L, we get:

L = 2400 - 2w

Now, we want to find the dimensions of the field that will give us the largest possible area.

The area of a rectangle is given by A = wL. Substituting the expression for L from above, we get:

A = w(2400 - 2w)

= 2400w - 2\(w^2\)

To find the maximum value of this function, we can take its derivative with respect to w and set it equal to zero:

dA/dw = 2400 - 4w = 0

Solving for w, we get w = 600.

Substituting this value back into the equation for L, we get:

L = 2400 - 2w = 1200

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\((x^{2} + 6x - 1) - (2x^{2} - 5x - 3)\)

\(x^{2} + 6x - 1 - 2x^{2} + 5x + 3\)

\( - x^{2} + 11x + 2\)

So the answer is - x²+11x+2

Answer:

1, 2, and 3

Step-by-step explanation: