Solve the following compound inequality.
x+8≥9 andand 2x−6≥8
The solution set in interval notation

Im guessing it is Base x Height ÷ 2? My answer is 12, i aplogise if i am incorrect.

Step-by-step explanation:

Just subtract the y coordinate of B with the y coordinate of A (or C).

so since B has a y of 9 and A has a y of 5 the height is

9 - 5 =

4

Answer:

1.  17.5 units²

2.  16 units²

Step-by-step explanation:

Given vertices of ΔABC:

Plot the vertices on the given graph paper and join with line segments to create the triangle.

As point B and C share the same x-coordinate, and points A and B share the same y-coordinate, ΔABC is a right triangle with base AB and height BC.

[tex]\begin{aligned}\textsf{Area of a triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \textsf{Area of $\triangle$ ABC} & = \sf \dfrac{1}{2} \times AB \times BC\\& = \sf \dfrac{1}{2} \times 7 \times 5\\& = \sf \dfrac{35}{2}\\& = \sf 17.5 \:\:units^2\end{aligned}[/tex]

Given vertices of rectangle WXYZ:

Plot the vertices on the given graph paper and join with line segments to create the rectangle.

The area of a rectangle is found by multiplying the length by the width. To find the area of rectangle WXYZ, find the length (WZ or XY) and the width (WX or ZY) using the distance formula, then multiply them.

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]

[tex]\begin{aligned}WZ & =\sqrt{(x_Z-x_W)^2+(y_Z-y_W)^2}\\& =\sqrt{(4-0)^2+(-4-0)^2}\\& =\sqrt{(4)^2+(-4)^2}\\& =\sqrt{16+16}\\& =\sqrt{32}\sf \:\:units\\\end{aligned}[/tex]

[tex]\begin{aligned}WX & =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\& =\sqrt{(x_X-x_W)^2+(y_X-y_W)^2}\\& =\sqrt{(2-0)^2+(2-0)^2}\\& =\sqrt{(2)^2+(2)^2}\\& =\sqrt{4+4}\\& =\sqrt{8}\sf \:\:units\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area $WXYZ$} & = WZ \times WX\\& = \sqrt{32} \times \sqrt{8}\\& = \sqrt{32 \cdot 8}\\& = \sqrt{256}\\& = 16\sf \:\:units^2\end{aligned}[/tex]

Answer:

9

Step-by-step explanation:

Factor for 18 are:

1,2,3,6,9,18

Factors for 27 are:

1,3,9,27

Hope I helped <3

I can't tell if the entire question is here or not, it appears to be missing something.

If you did put all of the information here, h(2) = 5 because there is no x input.

The commitment adherence percentage for the week will be 53%.

How to compute the percentage?

It was stated that Amy was scheduled to service 17 intervals this week. She picked up 4 more intervals during the week.

The following can be deduced based on the information that are given:

Total intervals = 17

Taken intervals = 4+ 3 + 2 = 9

Therefore, the commitment adherence percentage for the week will be:

= 9/17 × 100

= 53%

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Complete question :

Amy was scheduled to service 17 intervals this week. She picked up 4 more intervals during the week. On Friday, she put 3 intervals up for swap. One of them was picked up by someone else. The other two were not so she released them both during the lockdown period. Amy also had technical issues but never did get a waiver, which resulted in her missing an additional 2 intervals. What was her Commitment Adherence percentage for the week? Enter whole numbers (no decimals)

Answer:

you could use a calculator but if you don't you can follow these steps

Step 1 : to avoid confusion it is easier to remove the decimal points then multiply them (i.e. 24 × 25)

Step 2: After you've gotten the answer (600), count how many decimal places both numbers are (i.e. 2.4 is one decimal place and 2.5 is also one decimal place.. making it two decimal places)

Step 3: Move your answer to 2 decimal places (i.e 600 → 6.00 or 6)

Answer is 6

Calculations

2.4 × 2.5

= 24 × 25

= 600 to 2 decimal places

= 6

+Hope this helps

If Norman invested $100,000 for 3 years at 12%, the amount of interest earned on interest is $4,492.80

What is the future value of the investment?

The future value of the investment after 3 years is its future worth at the end of year 3 which comprises of the initial investment and the interest earned over the 3-year period as captured thus:

FV=PV*(1+r)^N

FV=future value after 3  years=unknown

PV=amount invested=$100,000

r=annual interest rate=12%

N=number of years of investment=3

FV=$100,000*(1+12%)^3

FV=$ 140,492.80

compound interest=$140,492.80-$100,000

compound interest=$40,492.80

interest on principal only=$100,000*12%*3=$36,000

interest on interest=$40,492.80-$36000

interest on interest=$4,492.80

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Based on the price of the shirt and the sales tax, the total cost of Mrs. Lindeman's shirt is $28.08

When given the sales tax and the price of an item, then you are to add the sales tax of that item to the price of the item to find the total cost of the item.

The sales tax on the shirt that Mrs. Lindeman bought is:

= Price of shirt x sales tax rate

= 26 x 8%
= $2.08

The total cost of the shirt to Mrs. Lindeman is:

= 26 + 2.08

= $28.08

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To reflect a graph, f(x) over the x-axis, you take -f(x). So if f(x)=x^2, then -f(x) is -x^2. Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

An output variable and one or more input variables are the minimum number of variables in a function. An equation can have any number of variables and declares that two expressions are equal (none, one, or more).

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Answer:

Before Christ

Step-by-step explanation:

While in the past it was before Christ, its been moving to Before the Common Era

Pls mark as brainliest

11) is 1/2 and 45% and 0.6 and finally 1

12) is 0 then 50% then 0.8 then 4

She should take the offer from the second family as she will make $5 more.

First family offers her $40 plus $5 per hour. Therefore, the amount that she can make for 5 hours will be:

= $40 + 5($5)

= $40 + $25

= $65

The second family offers $20 plus $10 per hour. Therefore, the amount that will be made will be:

= $20 + $10(5)

= $70

Therefore, she should take the offer from the second family as she will make $5 more. This was calculated as $70 - $65 = $5.

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Answer: A. <

Step-by-step explanation:

-2.2 if less than -4

>  is the symbol that  makes the statement true. Therefore, the correct option is option A.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.

The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable as well as two variables will all be covered in this article along with examples.  > is the symbol that  makes the statement true.

Therefore, the correct option is option A.

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Answer:

Look, I can't solve these for you: but for now Y = x + 3

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to Y=mx+b

where

m is the slope

b is the y-intercept

step 1

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to

m=y2-y1

Find the y-intercept

we have

substitute in the linear equation

solve for b

therefore

The linear equation is y=x+3

The expected payback for a person who buys 1 ticket is 1.23. Yes, the game is fair.

Given that, A raffle offers a first prize of $500 and 3 second prizes of $80 each. One ticket costs $2, and 600 tickets are sold.

The probability formula defines the likelihood of the happening of an event. It is the ratio of favourable outcomes to the total favourable outcomes. The probability formula can be expressed as, P(E)=Number of favourable outcomes/Total number of outcomes.

Now,

Expected value = sum of ( amount won ) × probability of winning

= expected value of 1st place + expected value of 2nd place + expected value of losing  

= (1/600) (500) + (3/600) (80) + (596/600) × 0

= 500/600 + 240/600  

= 740/600

= 740/600

= 1.23

Therefore, the expected payback for a person who buys 1 ticket is 1.23. Yes, the game is fair.

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"Your question is incomplete, probably the complete question/missing part is:"

A raffle offers a first prize of $500 and 3 second prizes of $80 each. One ticket costs $2, and 600 tickets are sold. Find the expected payback for a person who buys 1 ticket. Is this a fair game?

No, the square of a binomial does not include only positive terms.

A mathematical expression with two terms known as a binomial expression cannot be merged unless a variable-eliminating input is provided. Positive integer exponents must be unique for each of the binomial terms. Any exponents must not be negative, zero, or a fraction.

Simplify and combine any "like" terms to add binomials. Different exponents or variables cannot be used in "like" phrases. Add, for instance, the binomials (12x + 3) and (3x - 1).

The square of a binomial may contain negative terms.

For example, (a - b)² = a² + b² - 2ab

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Answer:

400, 440, or 480

Step-by-step explanation:

Without both dots, 400

With one dot, 440

with both dots, 480

Please correct me if I am wrong.

Answer:

Step-by-step explanation:NIDIHNG S,AST3RE TIRWACRE

I THINK THAT UR

Answer:

• is the graph that of a function? yes

• the domain is [-π, π] and the range is [-1, 1]
• the intercepts are (π/2, 0), (-π/2, 0), (0, 1)

• determine if the graph is symmetrical: it is symmetrical with respect to the y-axis.

Yes, the graph shows a function.

The domain is [-π, π] and the range is [-1, 1]

The intercepts are (π/2, 0), (-π/2, 0), (0, 1)

It is symmetrical with respect to the y-axis.

We have to given that,

The graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. And, The set of all inputs of the function is called Domain of set.

Hence, By given graph,

It satisfy the vertical line test,

Hence, It shows function.

And, The domain is [-π, π] and the range is [-1, 1]

Here, Graph cut at points (π/2, 0), (-π/2, 0), (0, 1).

Hence, The intercepts are (π/2, 0), (-π/2, 0), (0, 1)

Now, From the graph,

It is symmetrical with respect to the y-axis.

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Based on the distance that Olivia has to walk to school, the total distance that Ray walks to school in miles is 3 / 8 miles

Olivia walks 1/4 of a mile to school which means that the number of miles she walks to school is:
= 1/4 x 1

= 1/4 miles

= 0.25 miles

This 0.25 miles represents 2/3 of the distance that Ray walks to school. The total distance that Ray walks to school is therefore:

= Number of miles Olivier walks to school / Proportion of distance to Ray

= 0.25 ÷ 2/3

= 0.375

= 3 / 8 miles

In conclusion, Ray walks 3/8 miles to school.

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Answer:

Ray walks to school in miles is 3 / 8 miles.

The solution for variables x, y, and z are -

The given linear equation are-

x - 6y - 2z = -8   .......equation 1.

-x + 5y + 3z = 2 ......equation 2.

3x - 3y - 4z = 15 .......equation 3.

Add equation 1 and 2; gives

-y + z = -6   .....equation 4

multiply equation 2 and subtract it with equation 3;

12y + 5z = 21 ......equation 5

multiply equation 4 with 5 and subtract it from equation 5.

17 y = 51

y = 3.

Put y = 3 in equation 4 and find z.

z = -6 + 3

z = -3

Put the value of y and z in equation 1 and find x.

x = -8 + 18 + 6

x = 100

Therefore, the solution for variables x, y, and z are -

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The value of 5 divided by 1319 to two places is 3.79 × [tex]10^{-3}[/tex] .

The way of find answer is the divide 5 by 1319

We have to find 5 divided by 1319 and find each quotient to two places

To find answer = 5/1319 = 0.00379075

quotient to two places = 3.79 × [tex]10^{-3}[/tex]

The main answer is 3.79 × [tex]10^{-3}[/tex].

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The number is 30.

Step-by-step explanation:

n=number.

2/3n+1/6n=25

Make a common denominator for 2/3 and 1/6 and then combine like terms.

4/6n+1/6n=25

5/6n=25

divide 5/6 on both sides to isolate n.

n=25/(5/6)

oreja.

n=25/1/5/6

nu(25×6)/(5×1)

n=150/5

n=30

OR

multiply the reciprocal instead of dividing.

n=25×(6/5)

n=150/5

n=30

It should be noted that an IAT is an experiment.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

An experiment is The Implicit Association Tests (IAT). By taking measures, IAT assesses how strongly concepts are associated with one another. According to Carpenter et al. (2019), the IAT, which is an experiment, obtains its findings by meticulously associating things with related answer keys, such as athletic and clumsy.

Therefore, it should be noted that an IAT is an experiment.

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The intervals that contains the value of 4αβ sinθ° are

(A) (0, √2)

(B) (1, 2)

Given that, PQRS be a  quadrilateral in a plane, where;

QR = 1

∠PQR =∠QRS = 70°

∠PQS = 15°

∠PRS=40°.

Further given that, ∠RPS = θ°, PQ = α and PS = β

Now, In triangle PQR

Using sine law, we have;

PQ/sin R = QR/sin P

α/sin 30 = 1/sin 80

Thus;

α = 1/2sin80

Now, In triangle PRS

Using sine law, we have;

PS/sin R = RS/sin P

∠RPS =  ∠RSQ = 55

QR = RS = 1

β/sin 40 = 1/sinθ

βsinθ = sin40

Now, Consider 4αβ sinθ° = 4 * 1/2 sin 80 * sin 40 = 2 sin 40/(2 sin 40 cos 40)

Since sin 2x = 2 sin x cos x, then;

= 1/cos 40 = sec 40

Now, we know secx is an increasing function.

Thus;

sec 40 ∈ (2/√3, √2)

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In triangle PQR, we have by the law of sines,

[tex]\dfrac{\sin(30^\circ)}\alpha = \dfrac{\sin(80^\circ)}1 \\\\ ~~~~ \implies \alpha = \dfrac{\sin(30^\circ)}{\sin(80^\circ)}[/tex]

and by the law of cosines,

[tex]PR^2 = 1 + \alpha^2 - 2\alpha \cos(70^\circ)[/tex]

In triangle PQS, the law of sines gives

[tex]\dfrac{\sin(15^\circ)}\beta = \dfrac{\sin(85^\circ-\theta)}\alpha \\\\ ~~~~ \implies \beta = \dfrac{\sin(15^\circ)\sin(30^\circ)}{\sin(85^\circ-\theta)\sin(80^\circ)}[/tex]

In triangle PRS, again with the law of sines,

[tex]\dfrac{\sin(40^\circ)}\beta = \dfrac{\sin(140^\circ - \theta)}{\sqrt{1 + \alpha^2 - 2\alpha\cos(70^\circ)}} \\\\ ~~~~ \implies \beta = \sqrt{1+\alpha^2 - 2\alpha\cos(70^\circ)} \dfrac{\sin(40^\circ)}{\sin(140^\circ-\theta)}[/tex]

Together, these give

[tex]\dfrac{\sin(15^\circ) \sin(30^\circ)}{\sin(85^\circ-\theta) \sin(80^\circ)} = \sqrt{1 + \alpha^2 - 2\alpha \cos(70^\circ)} \dfrac{\sin(40^\circ)}{\sin(140^\circ - \theta)}[/tex]

Carefully, we can rearrange terms and invoke identities (half-angle, product-to-sum) to reduce this equation to

[tex]\dfrac{\sin(140^\circ - \theta)}{\sin(85^\circ - \theta)} = \dfrac{\sqrt{2 - 3\sin(10^\circ) - \sin^2(10^\circ) + 2\sin^3(10^\circ)}}{\sin(15^\circ)}[/tex]

On the left, substitute [tex]\phi=85^\circ-\theta[/tex], and on the right, [tex]\sigma=\csc(15^\circ)\sqrt{2-3\sin(10^\circ)-\sin^2(10^\circ)+2\sin^3(10^\circ)}[/tex]. Expand the left side and rearrange terms.

[tex]\dfrac{\sin(55^\circ-\phi)}{\sin(\phi)} = \sigma \\\\ ~~~~ \implies (\sigma + \sin(35^\circ))\sin(\phi) - \cos(35^\circ) \cos(\phi) = 0[/tex]

Condense this using the identity

[tex]R\sin(\phi-\xi) = R\cos(\xi)\sin(\phi) - R\sin(\xi)\cos(\phi)[/tex]

Solve for [tex]R,\xi[/tex].

[tex]\begin{cases}R\cos(\xi) = \sigma+\sin(35^\circ) \\ R\sin(\xi) = \cos(35^\circ)\end{cases} \implies \begin{cases}R^2 = (\sigma+\sin(35^\circ))^2 + \cos^2(35^\circ) \\\\ \tan(\xi) = \dfrac{\cos(35^\circ)}{\sigma+\sin(35^\circ)} \end{cases}[/tex]

So our equation becomes

[tex]\sqrt{(\sigma+\sin(35^\circ))^2 + \cos^2(35^\circ)} \, \sin\left(\phi - \tan^{-1}\left(\dfrac{\cos(35^\circ)}{\sigma+\sin(35^\circ)}\right)\right) = 0[/tex]

Solve for [tex]\phi[/tex], bearing in mind that [tex]40^\circ<\theta<100^\circ[/tex] so [tex]-15^\circ<\phi<45^\circ[/tex], then evaluate the target expression. (Forgive the sudden switch to approximations; I do think there is a nice analytical solution.)

[tex]\phi = \tan^{-1}\left(\dfrac{\cos(35^\circ)}{\sigma+\sin(35^\circ)}\right) \approx 8.88311^\circ \\\\ ~~~~ \implies \theta \approx 76.1169^\circ \\\\ ~~~~ \implies \beta \approx 0.68309 \\\\ ~~~~ \implies 4\alpha\beta\sin(\theta) \approx 0.91334 < 1 < \sqrt2 < 2\sqrt2[/tex]

which makes (A) the correct choice.

Answer:

$42.38

Step-by-step explanation:

$39.99 x 0.06= 2.39

39.99 + 2.39= $42.38 (total with tax)

Answer:

Step-by-step explanation:

39.99 * 0.06 = 2.4

The total tax equals = 2.4

6% in decimal form is 0.06 multiplied by the total cost of shoes to get the total tax. 2.4

add that to the total to get the total cost with tax = $42.39

Answer:

C. no association?

Step-by-step explanation:

Looks like there's no association to me. Association usually are in a linear line or curves. The data points given do not form such shapes. Hope that's right.

Here's some clarification: https://open.lib.umn.edu/macroeconomics/chapter/nonlinear-relationships-and-graphs-without-numbers/