Questions from Page 45 in Dale Seymour Publications' Developing Skills in Algebra Book B (adding all of this info in case someone needs to keyword it at some point)

4.] The side of one square is five times that of another square. The difference in the areas of the two squares is 96. Find the sum of the areas of the two squares.

6.] The second side of a triangle is four more than the first side, and the third side is five more than the second. If the product of the first and third sides is added to the product of the second and third sides, the result is 124 more than twice the square of the first side. Find the perimeter of the triangle.

7.] A concrete walk 5 m wide is built around a grass court. The length of the court is 12 m more than its width. The area of the walk is 560 m^2. Find the dimensions of the grass court.

The mass of the solid copper with a density of 9.86g/cm³ and dimensions of 5cm x 3cm x 10cm is 1.479kg.

To calculate the mass of the solid copper, we need to use the formula

mass = density x volume

First, let's calculate the volume of the solid copper

volume = width x height x depth = 5 cm x 3 cm x 10 cm = 150 cm³

Now, we can plug in the values we have

mass = density x volume = 9.86 g/cm³ x 150 cm³ = 1479 g

To convert grams to kilograms, we divide by 1000

mass in kg = 1479 g / 1000 = 1.479 kg

Therefore, the mass of the solid copper is 1.479 kg.

Learn more about density here

brainly.com/question/13799762

#SPJ4

The given question is incomplete, the complete question is:

The density of copper is 9.86g/cm[cubed] work out the mass of the solid in kg

width is 5cm

height is 3cm

depth is 10cm

Answer:

Weight Scales, Food Scales, Music Scales

Step-by-step explanation:

The area of the banner is 339.5 square inches.

Given that, the shape of a regular triangle with side length 28 inches.

We know that, area of an equilateral triangle = √3/4 ×a²

= √3/4 ×28²

= 339.48

≈ 339.5 square inches

Therefore, the area of the banner is 339.5 square inches.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

Answer:

NO

Step-by-step explanation:

-13 is not greater than 12. 12 is larger.

Answer: 9:13

Step-by-step explanation:

4+9= 13

so our total is 13, and there are 9 daffodils

The probability that they have a high school degree or some college, but have no college degree is approximately 0.156.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

To find the probability that an adult chosen at random has a high school degree or some college, but no college degree, we need to add up the number of people in the "High school only" and "Some college" categories who do not have a Bachelor's or Master's degree.

From the table, the number of people who have a high school degree or some college but no college degree is:

High school only: 568 + 1034 + 823 + 1938 = 4363 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1545

Some college: 1518 + 1837 + 1386 + 2377 = 7118 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1502

So, the total number of adults who have a high school degree or some college, but no college degree is:

1545 + 1502 = 3047

The total number of adults in the town is 19589.

Therefore, the probability that an adult chosen at random has a high school degree or some college, but no college degree is:

3047/19589 = 0.1559 (rounded to the nearest thousandth)

So, the probability is approximately 0.156.

To learn more about probability visit the link :

https://brainly.com/question/30034780

#SPJ1

The average rate of change of function f(x) on the interval 2 is equal to 1.

To find the average rate of change of function f(x), on the interval 2<x<7, we need to use the given formula:

the average rate of change of function f(x) = change in 'y' / change in 'x'

After selecting any two points that lie on the graph on the interval 2<x<7 we can find the change in y and the change in x.

Here we are using the points (2, f(2)) and (7, f(7)).

We can see that the value of y at x=2 is 1 and at x=7 is 6,

Substituting the values in the formula we get:

The average rate of change of the function f(x) = (6-1)/(7-2).

The average rate of change of the function f(x) = 5/5 = 1.

Hence the average rate of change of function f(x) is equal to 1.

Learn more about the rate of change of function at:

https://brainly.com/question/30445224

Pls find the attached image of the graph

#SPJ1

The answer is A: Most members prefer a beach vacation.

For a graph that represents the adjacency list with vertices and edges, then total ( n- 1) comparisons does it take to determine a single vertex indegree.

In a simple graph with n vertices, the degree of a vertex degrees(v) = n - 1 ∀ v ∈ G. The in-degrees of a vertex V is the number of edges that enter the vertex V.

Outer degree of graph: The outer degree of the V vertex is the number of edges outside it. We have a graph represented as a list with n vertices and m sides. We need to determine the need to compare individual vertices in degrees. The index of the array represents a vertex, and each item in the linked list represents a vertex that forms an edge with the vertex. Mark each vertex by squeezing a one degree, 0 degree node. A vertex can form an edge with any vertex other than itself. So the degree of a vertex will depend on the number of vertices. That is, the expected value is n-1.

For more information about graph, visit:

https://brainly.com/question/25020119

#SPJ4

The total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600

To solve this problem, we first need to calculate the total amount spent on each type of medical service.

For 22 physician visits at a cost of $P each, the total cost is: 22 * $P

For 12 specialist visits at a cost of $S each, the total cost is: 12 * $S

For 25 physical therapy appointments at $55 each, the total cost is: 25 * $55 = $1,375

For 1 ER visit at a cost of $E, the total cost is: $E

The hospital charge is $15,600.

With this, the total medical bills can be calculated:

Therefore, the total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600

Read more about algebra here:

https://brainly.com/question/4344214

#SPJ1

Jacobi Duarte has a non-network family health insurance plan, which requires co-payments for various medical services. Over a certain period, Jacobi has made the following co-payments:

22 physician visits

12 specialist visits

25 physical therapy appointments at $55 each

1 ER visit

Hospital charge of $15,600

Find the total amount that Jacobi Duarte has spent on medical expenses?

The operating cost for the lowest 5% of the airplanes is approximately $4,381 (rounded to the nearest whole dollar).

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to the lowest 5% of the distribution is approximately -1.64.

[tex]z = (x - \mu) / \sigma[/tex]

where:

x = operating cost we want to find

μ = mean hourly operating cost = $5,062

σ = standard deviation = $392

z = -1.64

Plugging in the values, we get:

-1.64 = (x - 5062) / 392

Solving for x, we get:

x = -1.64 * 392 + 5062

x ≈ $4,381.28

Operating cost refers to the expenses incurred by a business or organization in the course of its regular operations. It includes all the expenses required to maintain and sustain the production of goods or services, but excludes one-time capital expenditures like the purchase of property or equipment. Some common examples of operating costs include rent, salaries and wages, utilities, supplies, maintenance and repair, insurance, taxes, and marketing expenses. These costs are ongoing and necessary to keep the business running on a day-to-day basis.

Operating costs are important because they impact the profitability of a business. In order to remain competitive and profitable, businesses need to minimize their operating costs while maximizing their revenue. By carefully managing operating costs, businesses can improve their bottom line and invest in growth opportunities.

To learn more about Operating cost visit here:

brainly.com/question/30830429

#SPJ4

When conducting a hypothesis test such as the t-test, having a larger sample size means that the value of the test statistic would generally increase, and the effect size would remain the same.

Explanation:
1. A larger sample size provides more data points, which can lead to a more precise estimation of the population parameters.
2. As the sample size increases, the standard error (which is part of the denominator in the t-test statistic formula) decreases. This leads to a larger test statistic value, making it easier to reject the null hypothesis if there is a true effect.
3. The effect size is a measure of the strength of the relationship between two variables, independent of the sample size. Therefore, it does not change with an increase in sample size.

Learn more about Hypothesis test here: brainly.com/question/30588452

#SPJ11

From the addition operation, the total quantity of water she drink all together by considering all time quantity is equals to the 2.828 Litres .

Addition is one of the basic method of Arithmetic operations. It is used to taking the total of all things it may be numbers, etc. Now, here Maurice has wish to drink more water. She is trying to drink 2. 4 Litres of water in one day. Quantity of water she drinks after breakfast = 0.878 Litres

Quantity of water she drinks after lunch

= 1.2 Litres

Quantity of water she drinks after dinner = 0.75 Litres

We have to determine the quantity of water she drink all together. For this we can use the Addition Operation. As we have total water Quantity that she drinks in whole day. So, total quantity

= 0.878 Litres + 1.2 Litres + 0.75 Litres

= 0.878 Litres + 1.95 Litres +

= 2.828 Litres

Hence, required value is 2.828 Litres.

For more information about addition visit :

https://brainly.com/question/29793687

#SPJ4

Answer:

B

Step-by-step explanation:

As you can see based on the height of the bands, which are taller on the right side of the page, the data is shifted to the right. As the right side represents taller height, this could make the median (the middle of the data) higher than the mean (the mathematical average)

The answers are explained below.

Given that,

sample size (n) = 36

population standard deviation (a) = 71.6

population mean (u) = 160

significance level a = 0.05

1) The Null and alternative hypothesis:

H₀: µ = 160 (claim)

Hₐ: µ ≠ 160

Since the population standard deviation (σ), we use the 'z' test.

2) sample mean (x) = ∑x/n

= 5926/36

= 164.61

Test statistic (2) = (x-µ)/(σ/√n)

= (164.61-160) / (71.6/√36)

= 0.3863

≈ 0.39

3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.

4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.

5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.

6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.

Learn more about Null hypothesis at -

brainly.com/question/30535681

#SPJ1

Answer:

Step-by-step explanation:

To find the percentage discount, we need to find the amount of discount first.

Discount = Original Price - Discounted Price

Discount = $64 - $32 = $32

The percentage discount is then:

Percentage Discount = (Discount / Original Price) x 100%

Percentage Discount = (32 / 64) x 100%

Percentage Discount = 0.5 x 100%

Percentage Discount = 50%

Therefore, the discount is 50%.

Answer: it's 50%.

$64 - $32 = $32

(32 / 64) x 100%

0.5 x 100%

50%.

so it's 50%

can i please have brainliest i really need it

The equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1

The equation of a hyperbola with center at (k) and a conjugate axis that is parallel to the x-axis, with a length of 2b and fucus located at Otok) is given by:

where a + b'c' and c is the distance from the center to each focus.

In this case, the center is Q1,-17) and the focus is Q,18). The distance between the center and the fucus is c = ✓(21-27 + (-17-18)

In conclusion, the equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Therefore, there are 2,436,686,400 ways of combination to divide the teams into 32 pairs.

To calculate the number of ways to do this, you can use the concept of combinations.
In this case, you can use the formula:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of teams (64) and k is the number of teams in each pair (2).
First, we need to divide the teams into pairs, so there will be 32 pairs in total. To find the number of ways to do this, we can use the combinations formula:
C(64, 2) = 64! / (2!(64-2)!)
C(64, 2) = 64! / (2! * 62!)
Next, we need to multiply this by the number of ways to create the remaining 31 pairs:
=C(62, 2) * C(60, 2) * ... * C(4, 2)
So, the total number of ways to divide the 64 teams into 32 pairs is:
=C(64, 2) * C(62, 2) * ... * C(4, 2) / (32!)
This will give you the number of ways to divide the teams into 32 pairs for the tournament's first round.

(64 x 63 x 62 x ... x 2 x 1) / (2 x 2 x 2 x ... x 2 x 2) = 64! / (2³²)

To know more about combination,

https://brainly.com/question/16199890

#SPJ11

Answer:

$32,400.

Step-by-step explanation:

36000 - 30000 = 6000

So it increases every year by 6000/5 = $1200

After 2 years its value is

30000 + 2(1200)

= 32400.

Answer:

16

Step-by-step explanation:

(2x-5)^(1/3) = 3, we can start by cubing both sides of the equation to get rid of the cube root. This gives us (2x-5)^(1/3)^3 = 3^3, which simplifies to 2x-5 = 27. Solving for x, we get x = (27+5)/2 = 16. So, the solution to the equation (2x-5)^(1/3) = 3 is x = 16.

The total weight of the liquid in the tank is approximately 16,425 pounds if the tank is in the shape of a hemisphere and has a radius of 5 feet.

Radius of tank = 5 feet

Density = 62.7 pounds per cubic foot

The hemisphere's volume is calculated by using the formula:

[tex]V = (2/3)*(3.14)r^3[/tex]

V = [tex](2/3)* (3.41)*(5 ft)^3[/tex]

V = 261.8 ft cubic centimeter.

The weight of the liquid is calculated by multiplying volume and density:

W = V × D

W = [tex]261.8 ft^3 * 62.7 lb/ft^3[/tex]

W = 16425.2 lbs.

Therefore we can conclude that the total weight of the liquid in the tank is approximately 16,425 pounds.

To learn more about the total weight

https://brainly.com/question/31162054

#SPJ4

The expressions csc(π), cot(π/2), cot(π), csc(0°), and sec(90°) are undefined.

Since the sin(π) is 0, the calculation csc(π) results in division by zero, which is undefinable.

Due to the infinite tangent of π/2, cot(π/2) results in division by zero, making it undefinable.

Due to the infinite tangent of π, cot(π) divides by zero and is hence undefinable.

Since the sine of 0° is zero, csc(0°) is undefined since it divides by zero.

Since the cosine of 90° is zero, sec(90°) results in division by zero, which is an undervalue.

To learn more about the tangent function;

https://brainly.com/question/22043858

#SPJ1

Answer:

-4/3

Step-by-step explanation:

If the green line has a slope of 3/4, then the slope of the red line, which is perpendicular to the green line, is -4/3.  The slope of a line perpendicular to another line is the negative reciprocal of the slope of the other line.  

This type of sample is called a Stratified sample if the US defense selected 10% of all Iraqi war veterans for a special survey that would closely resemble the composition of all the soldiers.

Stratified sampling concerns dividing the population size into multiple smaller subgroups or strata types of groups based on certain required characteristics and then selecting the information that is to be extracted from the data.

In the given case, the Selection of Iraqi war people from the survey indicates the composition of the sample size which is determined from a proportion of the population. This is another characteristic of stratified sampling.

To learn more about Stratified sampling

https://brainly.com/question/20544692

#SPJ4

Assuming the sample sizes are large enough, a two-sample z-test can be used with a significance level of 0.05.

To determine whether the proportion of individuals who developed heart problems differs between the experimental medication group and the placebo group, a hypothesis test can be performed.

Let p1 be the proportion of individuals who developed heart problems in the experimental medication group, and p₂ be the proportion in the placebo group. The null hypothesis is that the difference in proportions is equal to zero (i.e., p₁ - p₂ = 0), and the alternative hypothesis is that the difference in proportions is not equal to zero (i.e., p₁ - p₂ ≠ 0).

Using the given information, we can calculate the sample proportions, denoted by p₁ and p₂. Let x₁ be the number of individuals who developed heart problems in the experimental medication group, and x₂ be the number in the placebo group. Then:

p₁ = x₁/n₁

p₂ = x₂/n₂

where n₁ and n₂ are the sample sizes in the experimental medication and placebo groups, respectively.

Assuming the null hypothesis is true, the test statistic can be calculated using:

z = (p₁ - p₂) / √(p(1 - p) * (1 / n₁ + 1 / n₂))

where p is the pooled sample proportion, calculated as:

p = (x₁ + x₂) / (n₁ + n₂)

Using a standard normal distribution, the critical value for a two-tailed test with a significance level of 0.05 is ±1.96.

If the calculated test statistic falls outside the critical region (i.e., less than -1.96 or greater than 1.96), then we reject the null hypothesis and conclude that there is a significant difference between the two proportions. Otherwise, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in proportions.

Learn More about significance level

https://brainly.com/question/28027137

#SPJ4

There are 33 red solid coloured disks with devin among 57 solid coloured disks  which are either red, blue or green by solving linear equations.

Let the number of red solid coloured disks be x.
Let the number of blue solid coloured disks be y.
Let the number of green solid coloured disks be z.

Devon has a total of 57 solid coloured disks which are either red, blue or green.

That is in the linear equation form as,

x+ y +z = 57 ___(1)

According to the question it is given that,

There are 21 more red disks than green disks. That is it can be represented in a linear equation as,

x = z + 21 ___(2)

There are 12 more green disks than blue disks. That is it can be represented in a linear equation as,

z = y + 12

⇒ y = z -12___(3)

Putting the values from equation (2) and (3) in the linear equation (1) we get,

(z + 21) + (z -12) + z = 57

⇒ 3z = 57 -9 = 48

⇒ z = 48/3

⇒ z = 12

Therefore, Number of red coloured disks , x = 12 +21 = 33

To know more about llinear equation here

https://brainly.com/question/29111179

#SPJ4