Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 3/4 feet long. Each president's picture is 6 inches wide. If the pictures are placed side by side on either side of the window, how many pictures can he fit on this wall?
Answer the questions to solve this problem.

1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know.

2. Convert this length to inches.

3. How many pictures will Mr. Hamilton use? Explain how you found your answer

4. How would your answer change if the pictures were 10 inches wide? Explain.

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = \(\frac{Area}{length}\)

             \(= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5\)

Answer:

If the maximum of function r(x) and t(x) occur at the same point c in domain P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

Step-by-step explanation:

If the maximum of function r(x) and t(x) occur at the same point c in domain then M=r(c) and N=t(c) So in this case P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

by definition of maximum  

r(x)≤M,t(x)≤N   for all x in domain

=>  r(x)+t(x)≤M+N   for all x in domain

=> max(r(x)+t(x)) <= M+N

=> P  ≤  M+N

Thus we get in general the relationship is P  ≤  M+N

Answer:

The length of the side of the square is 26.87 yards

Step-by-step explanation:

The sides of the square and the diagonal will form an Isosceles right angled triangle

Let the length of the side be x

From Pythagoras’ theorem, the square of the side of the hypotenuse is equal to the sum of the squares of the two other sides

x^2 + x^2 = 38^2

2x^2 = 1,444

x^2 = 722

x = square root of 722

x = 26.87 yards

Answer:The derivative of f(s)

Step-by-step explanation:

The derivative of f(s) = (Vs - 1)/(Vs + 1) with respect to s is

df/ds = (V(Vs + 1) - (Vs - 1)V)/(Vs + 1)^2

= (V^2 -1)/(Vs + 1)^2

The value of {r} is 64 and the value θ is 30°.

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to \(\sqrt{-1}\) . The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

Given is the complex number -

z = 4√3 - 4i

We can write the value of {r} as -

r = (4√3)² + (- 4)²

r = 16 x 3 + 16

r = 64

θ = tan ⁻¹(4/4√3)

θ = tan ⁻¹(1/√3)

θ = 30°

Therefore, the value of {r} is 64 and the value θ is 30°.

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To administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.

To determine the number of milliliters to administer in order to give 1 gram of medication, we need to convert the units appropriately.

Given that the medication is available in 350,000 micrograms per 0.6 ml, we can set up a proportion to find the equivalent amount in grams:

350,000 mcg / 0.6 ml = 1,000,000 mcg / x ml

Cross-multiplying and solving for x, we get:

x = (0.6 ml * 1,000,000 mcg) / 350,000 mcg

x = 1.714 ml

Therefore, to administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.

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The population is represented by the larger rectangular box, which refers to the income of all home owners in a certain state. The sample is represented by the smaller rectangular box within the population, which specifies the income of home owners in the state who also own a car.

In this scenario, the Venn diagram is used to illustrate the relationship between the population and the sample. The larger rectangular box represents the population, which encompasses all home owners in a certain state. This includes individuals who own a car as well as those who do not own a car.

Within the population, there is a smaller rectangular box that represents the sample. This sample is a subset of the population and consists of home owners in the state who also own a car. It focuses on a specific group within the population, namely those who meet the criteria of being home owners and car owners.

The purpose of using a Venn diagram in this context is to visually demonstrate the relationship between the population and the sample. It shows that the sample is a part of the larger population, and it helps to differentiate the specific subset of individuals being considered.

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Answer:

The actual area of the basketball court is;

Explanation:

Given that the scale of the drawing is;

And the dimension of the basketball court on the scale drawing is;

The actual dimension will be;

Therefore, the actual area of the basketball court will be;

The actual area of the basketball court is;

Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

Answer:

5:2

Step-by-step explanation:

Therefore , the solution of the given problem of polynomial comes out to be  quotient comes out to be (p³ + 2p² + 6p -10) .

A polynomial is a mathematical statement with coefficients or uncertainty that uses only additions, erasures, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to a phrase in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that can be added, deducted, multiplied, then raised to negative number powers of non-variables.

Here,

Given :

=> (p⁴ -7p³ - 12p² - 64p + 90 )  / (p-9)

=> (p-9) * (p³ + 2p² + 6p -10)  / (p-9)

=>  (p³ + 2p² + 6p -10)

Thus , quotient comes out to be (p³ + 2p² + 6p -10) .

Therefore , the solution of the given problem of polynomial comes out to be  quotient comes out to be (p³ + 2p² + 6p -10) .

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Answer:

4440

Step-by-step explanation:

10×12= 120 so you would 120 brownie.

so 120 × 37 for each is 4440 so your answer would be 4440. I used desmos.com, it is very helpful. You should give it a try!

Answer:

$44.40

Step-by-step explanation:

Each tray has 12 brownies, And you sold 10 trays

calculate total amount of brownies

10 × 12 = 120 brownies

37 cents = 0.37

multiply them together

120 × 0.37 = 44.40

Thus, you recieve 44.40

Answer:

x. = 0.79

Step-by-step explanation:

Let the unknown number be x

\(2.4 - x = 1.61\)

Collect like terms and simplify

\(2.4 - 1.61 = x \\ 0.79 = x \\ \\ x = 0.79\)

Answer:

0.79

Step-by-step explanation:

2.4 - X = 1.61

2.4 = 1.61 + X

0.79 = X

Answer:

Simplified : -4y^(2)-y-11

Step-by-step explanation:

My bad if its wrong hope this helps tho

The correct option C.4 square root 13 units; is the obtained perimeter of the rhombus WXYZ.

The congruence of the sides is one of the characteristics of rhombuses.

As a result, we only need to use the distance formula to get the length with one side.

Using the distance formula, find one side as;

d = √(x₂ - x₁)² + (y₂ - y₁)²

The distance at line YZ is:

YZ = √(5 - 3)² + (5 - 2)²

YZ = √13

Perimeter = 4 x (length of one side)

Perimeter =  4 √13

Thus, the obtained perimeter of the rhombus WXYZ is 4√13 units.

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The correct question is-

What is the perimeter of rhombus wxyz?

A.square root 13 units

B.12 units

C.4 square root 13 units

D.20 units

Answer:

184ft²

Step-by-step explanation:

See attachment for the missing figure.

First find out the areas of the two triangular sides

Area of triangle =1/2(bh)

From the shape

base b= 6ft

Height h= 4ft

Area = 1/2(6 x 4)

Area = 1/2(24)

Area = 12 ft²

Since the triangular shape is two total area =2 x 12= 24ft²

For the area of the two rectangular sides:

length l= 10ft

Width w= 5ft

Area = 10 x 5= 50ft²

Since the rectangular sides are two total area is = 50 x 2= 100ft²

Now, the base of the tent has a rectangular shape with

length 'l'= 10ft

Width 'w'= 6ft

Area = 10 x 6= 60ft²

Hence total surface area of the tent is 24+100+60= 184ft²

Answer:

184 ft2

Step-by-step explanation:

Hope this helps!

Answer:

Option D

Step-by-step explanation:

In ΔHBC and ΔACB,

            Statements                      Reasons

1). CB ≅ CB (leg)                          1). Reflexive property

2). BA ≅ CH (Hypotenuse)         2). Additional information for the

                                                       congruence of two right triangles by HL

                                                       property.

3). ΔHBC ≅ ΔACB                       3). HL property of congruence

Option D will be the correct option.

Answer: 50

Step-by-step explanation:

2+3=6+44=55

Step-by-step explanation:

Side measuring formula is 180(n-2). ---[ n= side]

Question: 14-gon

>by using formula 180(14-2)

> 180×12

> 2160÷ 14. --[divided by 14 side in order to find one side's degree]

> 154.28°

Answer:

Maybe this could help?

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The value of the constant of proportionality, k, in the equation r = ksv/p^3, is determined to be 1036.8 when given specific values for s, v, p, and r.

To express the statement as a formula, we have:

r = ksv / p^3

To determine the value of k, we can substitute the given values of s, v, p, and r into the formula and solve for k.

Given:

s = 2

v = 5

p = 6

r = 48

Substituting these values into the formula, we have:

48 = k * 2 * 5 / 6^3

Simplifying further:

48 = 10k / 216

To isolate k, we can cross-multiply and solve for k:

48 * 216 = 10k

10368 = 10k

k = 10368 / 10

k = 1036.8

Therefore, the value of k is 1036.8.

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A customer's likelihood of making a minimum monthly purchase of $20 is 0.93319.

The wealthiest 10% of consumers will part with $31.1262

Let X be a random variable that represents the monthly average of a customer's purchases. Given that X has a mean of $26 and a standard deviation of $4, i.e., it is normally distributed,

X ~ N (26, 4²)

We require the likelihood that a customer will make a purchase of at least $20, or

P (X ≥ 20)

After standardizing, we get:

= P [ Z ≥ (20 - 26) / 4]

= P (Z ≥ - 1.5)

=  P (Z ≤ 1.5)

= 0.93319

Therefore, If we use Z-table values then the required probability is 0.93319

Let x be the sum that the top 10% of consumers spend. Thus, we have

P (X ≥ x) = 0.1

On standardizing, we get:

= P [ Z ≥ (x - 26) / 4]

= P (Z ≥ 1.2816) = 0.1

On comparing the 2 values, we will get:
(x - 26) / 4 = 1.2816

x = 26 + 4 * 1.2816

x = 31.1264

Consequently, the top 10% spent $31.1264.

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Answer:

wjsjjs

Step-by-step explanation:

sjjjjjjjjjjjjj

Answer:

1640y

Step-by-step explanation:

the reason is y is known as variables constant is number 48y is a monomial that is why it is 26840y