evaluate the expression

SIN² 225° - COS² 270° + TAN ² 60°

Answer:

Answer would be $3.25

Step-by-step explanation:

First you would have to divide 19.5 by 6 to get 3.25 then check your answer by multiplying 3.25 by 6 which would be 19.50 .

S-G is the expression in terms of G and S

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

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The number of 2 points and 5 points are 30 and 8 respectively.

Let the number of 5 points = x

Let the number of 2 points = x + 22

It was also stated that the test is worth 100 points and that each problem is worth either 2 points or 5 points.

This will be:

5x + 2(x + 22) = 100

5x + 2x + 44 = 100

7x + 44 =

Collect like terms

7x = 100 - 44

7x = 56

Divide

x 56 / 7

x = 8

Number of 5 points = 8

Number of 2 points = x + 22 = 8 + 22 = 30

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The length of the segment CB in triangle ABC where [tex]\overline{AM}[/tex] is a median line and CM = 5·x - 2, MB = 3·x + 12, CM = MB, is 66 units

A median line is a line that is drawn from a vertex of a triangle to the middle of the opposite side such that the it bisects the opposite side.

The parameters are; [tex]\overline{AM}[/tex] = A median line

Length of segment CM = 5·x - 2

Length of segment MB = 3·x + 12

Required; The length of segment CB

The median line [tex]\overline{AM}[/tex] bisects the segment CB

Therefore; CM = MB

CB = CM + MB (Angle addition postulate)

Which gives; 5·x - 2 = 3·x + 12 (substitution property of equality)

2·x = 14

x = 14 ÷ 2 = 7

CB = CM + MB

CB = (5·x - 2) + (3·x + 12)

Which gives; CB = 8·x + 10

x = 7

CB = 8×7 + 10 = 66

The length of segment CB =  66

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Answer:

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

Answer:

72.624 kg

Step-by-step explanation:

1g = 0.001 kg

104g = 0.104kg

weight of 1 bag  = 12.104kg

weight of 6 bags = 12.104 x 6

weight of 6 bags = 72.624kg

Answer:

c

Step-by-step explanation:

cause -14w-3-(5w)

-14w-5w-3

-19w-3

The cost, in dollars, of each baseball is B. $6.00.

The first customer paid $60.00 for 4 baseballs and 2 gloves. This will be expressed as:

4b + 2g = 60

The second customer paid $84.00 for 5 baseballs and 3 gloves. This will be:

5b + 3g = 84

Collect both expressions

4b + 2g = 60

5b + 3g = 84

Multiply equation i by 3

Multiply equation ii by 2

12b + 6g = 180

10b + 6g = 168

Subtract

2b = 12

Divide

b = 12/2

b = 6

The baseball is $6.

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Answer:

A

Step-by-step explanation:

STEP 1:

Isolate the square root on the left hand side

Radical already isolated

√2x-9 = x-6

STEP 2:

Eliminate the radical on the left hand side

Raise both sides to the second power

(√2x-9)2 = (x-6)2

After squaring

2x-9 = x2-12x+36

STEP 3:

Solve the quadratic equation

Rearranged equation

x2 - 14x + 45 = 0

This equation has two rational roots:

{x1, x2}={9, 5}

STEP 4:

Check that the first solution is correct

Original equation

√2x-9 = x-6

Plug in 9 for x

√2•(9)-9 = (9)-6

Simplify

√9 = 3

Solution checks !!

Solution is:

x = 9

STEP 5:

Check that the second solution is correct

Original equation

√2x-9 = x-6

Plug in 5 for x

√2•(5)-9 = (5)-6

Simplify

√1 = -1

Solution does not check

1 ≠ -1

One solution was found :

x=9

Hope this helps!!

The ratio of the volume of the triangular prism to the volume of

 the cuboid is 3: 20

What do you mean by prism?

The base of the triangular prime is a right triangle with legs 5 cm, 4 cm

∴ b = 5 cm and h = 4 cm

∵ Its height is 9 cm

∴ H = 9 cm

→ Substitute them in the rule of the prism above

∵ V =  1/2 * (5)(4) × 9

∴ V = 90 cm³

∵ The dimensions of the base of the cuboid are 6 cm and 5 cm

∴ L = 6 cm and W = 5 cm

∵ Its height is 20 cm

∴ H = 20 cm

→ Substitute them in the rule of the cuboid above

∵ V = 6 × 5 × 20

∴ V = 600 cm³

→ Find the ratio between them

∵ V: V = 90: 600

→ Divide each term of the ratio by 30 to simplify them

∴ V: V = 3: 20

∴ The ratio of the volume of the triangular prism to the volume of

 the cuboid is 3: 20

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Answers

The primary difference explained in capitalism vs communism is that capitalism is an economic system that allows private ownership and promotes the idea of a free market; in contrast, communism favours collective ownership and restricts the free market with government intervention portraying a planned economy.

Explanation

What is Capitalism?

Capitalism occurs when people are allowed to own and control capital assets, use them according to their self-interest, and earn profit by producing valued goods and services utilizing capital resources. In a capitalist economy, government intervention will be minimal; hence, the production of goods and services is driven by supply and demand. It creates an environment that promotes individualism, innovations, competition, efficient allocation of resources, the efficiency of the private sector, presenting consumers with better choices, and improving living standards. capitalism vs communism.

On the other hand, capitalism is often blamed for favouring the rich. The opponents of the system advocate that in capitalism, the rich get richer and the poor get poorer instigating the unequal distribution of wealth and inequality, creating social division. Moreover, in the wake of producing profit, the capitalist model exploits the workers, and unfair competition can also lead to the emergence of monopolies in specific sections. All these disadvantages communicate the need for the reformation of capitalism.

What is Communism?

Communism ideology aims to establish common ownership and eliminate the private property concept. It simply focuses on replacing private ownership and introducing state-owned organizations, projects, resources, and properties, ensuring economic equality and fairness. Such economies work towards achieving social development, welfare, and the overall development of all the citizens of a nation.

China has long been a significant example of a communist government where the government-controlled major resources, funds, products, and services, but later due to globalization and certain other aspects, has started implementing some elements of capitalism to grow business and take advantage of trade opportunities. Similarly, it has been observed that many nations turn their heads toward capitalism to obtain more opportunities, attain industrialization, and reap the benefits of globalization hence strengthening the capitalism vs communism debate.

Capitalism and communism are inherently contrasting concepts. While capitalism propagates individualism, communism is associated with collectivism. Industrial capitalism was popularised in the 18th century, and modern communism was propagated in the 19th century.

The instances reflecting the conflict based on these ideologies were prevalent from the old times. For example, ideological conflict, and capitalism vs. communism in the Cold War of the 20th century. During the Cold War, the United States and Western European nations were based on capitalism and democracy. In contrast, the Soviet Union was based on communism and dictatorship, and Eastern European nations were under Soviet communist control. Many of the significant events in the Cold War contributed to explaining whether capitalism was better than communism or not.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]

so we're really looking for the equation of a line whose slope is -5 and that it passes through (-4 , 0)

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- 5}(x-\stackrel{x_1}{(-4)}) \\\\\\ y -0= -5 (x +4) \implies {\Large \begin{array}{llll} y=-5x-20 \end{array}}[/tex]

The value of x in 7-3(2x-1)= 2x+26 is -4

Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.

To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give

7- 6x+3= 2x+26

collect the like terms

-6x-2x=26-3-7

-8x= 16

divide both side by -8

-8x/-8= 16/-8

therefore x= -2

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A 98​% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments is

70.9 min < x-bar < 113.3 min

Yes, the result indicate that the treatment is​ effective

Confidence interval gives the probability that the unknown parameter will fall within a stated range

The confidence interval is constructed using the formula

confidence interval = x-bar ± z(s/√n)

Definition of variables

mean, x-bar = 92.1 min

standard deviation, s = 40.5 min

sample size, n = 23

confidence level = 98%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 23 - 1 =22

t score for 98% confidence level and dt of 22 = 2.509

substituting into the formula

= x-bar ± t(s/√n)

= 92.1 ± 2.509 (40.5 / √23)

= 92.1 ± 21.188

= 70.9112 < x-bar < 113.288  

Effectiveness of the treatment

when a test a test more than 2 standard deviations away from mean it is considered unusual. The usual range is

= 92.1 ± 2 * 40.5

= 11.5 < x-bar < 173.5

Hence the treatment is effective

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The principal is 1900

From the question, we have

after 40 month amount of 2375 is received by 15/2% interest rate

T = 40/12 = 10/3

amount = 2375 = P+I

R = 15/2%

amount = P+I

2375 = P+(PRT)/100

2375 = P(1+(RT)/100)

substituting the value  we get

2375 = P(1+(25)/100)

2375 = P*125/100

P = 2375*100/125

P = 1900

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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a) 25 % of customers receive the service for​ half-price.

b) The guaranteed time​ limit should be of 16 minutes.

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

When the distribution is normal, we use the z-score formula.

The p-value is the probability that the value of the measure is smaller than X, which is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

we have that mean of 15 minutes and a standard deviation of 4 minutes.

​(a) Longer than 20 minutes is 1 subtracted by the p value of Z when X = 20. So

[tex]Z = \dfrac{{x} - \mu}{\sigma}[/tex]

Z = (20 - 15)/4

Z = 5/4

Z = 1.25

1.25 has a pvalue of 0.25

1 - 1.25= 0.25

25 % of customers receive the service for​ half-price.

(b)  The time limit should be the 100 - 7 = 93th percentile, which is X when Z has a pvalue of 0.93.  So X when Z = 0.25.

[tex]Z = \dfrac{{x} - \mu}{\sigma}[/tex]

0.25= (x- 15)/4

x = 16

The guaranteed time​ limit should be of 16 minutes.

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Answer:

can we get a picture

Step-by-step explanation:

If On December 12, Lowell Corporation accepted a $160,000, 120-day, non-interest-bearing note from Able.com. the maturity value of the note is:  $213,333.

Using this formula to find the maturity value of the note

Maturity value of the note =  Principal + interest

Let plug in the formula

Maturity value of the note = $160,000 + ($160,000 × 120 /360)

Maturity value of the note = $160,000 + $53,333

Maturity value of the note = $213,333

Therefore the maturity value of the note is $213,333.

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Answer: Slope is 0

Step-by-step explanation

the graph's points doesn't change its value on the y - values but the x values change by 1 meaning the slope is 0/1 meaning there is no slope

Answer:

1st Table : Linear

2nd Table : Non-Linear

Step-by-step explanation:

To determine if the function is Linear or not , we find the change in y with a certain change in x

So for the 1st Table:

When x changes from x = 2 to x = 4 increased by 2

Then  y changes from y = 3 to y = 0 decreases by 3

When x changes from x = 4 to x = 6 increased by 2

Then  y changes from y = 0 to y = -3 decreases by 3

Since change in y is the same for the same change in x , Then the Function is Linear

So for the 2nd Table:

When x changes from x = 1 to x = 2 increased by 1

Then  y changes from y = 1 to y = 4 increased by 3

When x changes from x = 2 to x = 3 increased by 1

Then  y changes from y = 4 to y = 9 increased by 5

Since change in y is not the same for the same change in x , Then the Function is Non-Linear

Glad to Help

Step-by-step explanation:

Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)

Y value is also called f(x) as shown on your screen

The points are

(1,-8)

(2,5)

(3,-2)

(4,1)

The domain would be 4,3,2,1 and the range would be -8,-2,1,5

The common difference is that the domain follows a constant change of rate, but not the range.

A constant change of rate means that it's changing at a constant rate.

It can also be called slope.

E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)

The domain is subtracting 1, yet the range isn't following a constant change of rate.

A way to find slope is in the image.

Answer:

Lets do Jacob's equation first :)

50$ for fee

70$ per hour (h)

Dollars = 70h + 50

Now lets do Ryan's :)

40$ for fee

75 per hour (h)

Dollars = 75h + 40

Have an amazing day!!

Please rate and mark brainliest!

Part a: p gets closer to 0, the number of T-shirt purchased increases.

Part b: p gets larger, the number of T-shirt purchases decreases: so it is a decreasing function.

For the given function;

The relation of the number of T-shirt and the price of the T-shirt are given by the function; n(p) = 800/p.

The graph of the function is given as; y = n(p)

From, the graph it is clear that when, the value on x axis increases, the value on y-axis decreases.

Thus, the function is decreasing function.

Part a: p gets closer to 0,

Now, when, p gets closer to 0, the number of T-shirt purchased increases as the there is a reduction of the price of T-shirt.

Part b: p gets larger.

When p gets larger, the number of T-shirt purchased decreases, as there is a increase in the price of the T-shirt.

Thus, the T-shirt purchased will be reduced.

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Answer: I would say a half of beef is cheaper the pounds are different maybe subtract a half from five

Step-by-step explanation:

Answer:

1:commutative

2:distribution

3:3+0=3

4:distributive

5:

The equation in slope intercept form is y= (-3/4)x + 95.

An equation can be represented by a linear function. The standard form for the linear equation is:

y= mx+b , for example, y=x+4.

Where: m= the slope.

It can be calculated for Δy/Δx.b= the constant term that represents the y-intercept. For the given example: m=1 and b=4.

It is important to inform that the standard form for the linear equation can be called slope-intercept form.

For writing a linear equation, you need two points. From the given graph, it is possible to extract some points, such as: (20,80), (60,50). Then, you should replace the known points in the slope-intercept form (y=mx+b).

For the point (20,80),  you can write  80=m*20+b. And for the point (60,50), you can write 50=m*60+b.

Thus, you have:80=20m+b   (1)50= 60m +b (2)For solving the previous system, you have to multiply the equation 1 by -1.

Thus,-80=-20m-b   (1)50= 60m +b (2)

After that, sum equations 1 and 2.-80+50 = -20m+60m-30=40mm=-30/40m=-3/4

Now, you have y= (-3/4)* x+b.

For finding coefficient b, you should use one of the given points. For example:

(20,80).

y= (-3/4)*x+b for (20,80)80

= -3/4*(20) +b 80

= - 60/4+bb=80 + 60/4b=(320+60)/4b=380/4b

=95

Therefore, the equation in slope intercept form is y= (-3/4)*x + 95.

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The division of negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 is A. 265 over 287

A division simply shows the separation of the number that is given. It should be noted that division is illustrated by the symbol / or ÷.

In this case, negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 will be:

= (- 7 4/7) ÷ (- 8 1/5)

= - 53/7 ÷ (-41 / 5)

= -53/7 × -5/41

= 265 / 287

Therefore the correct option is A.

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Answer: 265/287

I'm not an average brain like other people.