is 1x1 =2?m pls help me

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

Ok. so let's teach you how to find the angles of a triangle. When you add all three sides, they must equal 180 degrees. Because of this, let's do some math. What is 96+35. Ima pretend you said 131 and so you would be right. Now let's subtract that from 180 degrees. 180-131 is 49 and so x is 49 degrees. Hope this helps!!

Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

From the question, we have the following parameters that can be used in our computation:

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer: R/12=3

Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /

Answer:D

Step-by-step explanation:

Answer: Nancy is correct because 7/8 is close to benchmark 1 and 5/8 is close to benchmark 1/2 and 1 + 1/2 = 1 and 1/2

Step-by-step explanation:

The approximate area of the composite figure is 71.13 square centimeters. None of the given answer choices are exact, but the closest one is D. 67.12 square centimeters.

Area of composite shape equals area of square plus area of rectangle. The composite shape's area is 14 + 9 = 23 square inches. The resulting composite shape has a surface area of 23 square inches.

We must first determine the areas of the three simpler shapes in order to combine them together to determine the area of the composite figure.

The first shape is a rectangle that measures 8 cm in length and 6 cm in breadth. Its surface area is 8 by 6 cm, or 48 square cm.

A semicircle with a diameter of 6 cm makes up the second form. It has a 3 centimeter radius. Half of a full circle's area is contained within a semicircle.

1/2 × π × 3 cm × 3 cm = 4.5 π square cm ≈ 14.13 square cm (rounded to two decimal places)

A triangle with a 6 cm base and 3 cm height makes up the third shape. Its geographical range is:

1/2 × 6 cm × 3 cm = 9 square cm

We sum the areas of the three shapes to obtain the area of the composite figure.

48 square cm + 14.13 square cm + 9 square cm ≈ 71.13 square cm

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The possible solutions for (10) are B = 66, C = 67 and c = 2.01

Triangle 9

Here, we have

A = 50, a=10, b = 15

The angle B can be calculated using the following laws of sines

sin(B)/b = sin(A)/a

So, we have

sin(B)/15 = sin(50)/10

sin(B) = 15 * sin(50)/10

So, we have

sin(B) = 1.1490

The sine of angles are always between 0 and 1

Hence, the triangle does not exist

Triangle 10

Here, we have

A=47, a=1.6, b=2

The angle B can be calculated using the following laws of sines

sin(B)/b = sin(A)/a

So, we have

sin(B)/2 = sin(47)/1.6

sin(B) = 2 * sin(47)/1.6

So, we have

sin(B) = 0.9142

B = 66

This means that

C = 180 - 66 - 47

C = 67

The length c is

c² = a² + b² - 2ab * cos(C)

So, we have

c² = 1.6² + 2² - 2 * 1.6 * 2 * cos(67 degrees)

c² = 4.06

Take the square roots

c = 2.01

See attachment for the triangles

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Answer:

The, value x for the give problem is 20 units.

Step-by-step explanation:

Consider triangle ABC,

Now, from the attached figure

Given that

PQ || AB

CP = 8units

PA = 6 units

CQ = x = ? units.

QB = 15 units

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (8) / (6) = (x) / (15)

On applying cross multiplication then

⇛ 8(15) = x(6)

⇛ 120 = 6x

⇛ x = 120÷6

⇛ x = 120/6

Therefore, x = 20 units.

Answer: Hence, value of x is 20 units.

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"

Please let me know if you have other questions.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

r

Step-by-step explanation: its r

Answer: T

Step-by-step explanation:    triangle  c <-> T triangle

stuff must be across from each other

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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The day that Kevin is going to water both plants is February 15.

To identify the day in February that Kevin is going to water both plants, it is necessary to take into account the pattern of days in which Kevin waters his plants.

Based on the above information, it can be inferred that Kevin is going to water his plants as follows:

So, the only day that the watering of both plants coincides is February 15.

On the other hand, it can be stated that Kevin is not going to water both plants again in February.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Question:

During February, Kevin will water his ivy every third day, and water his cactus every fifth day.

a. On which date will Kevin first water both plants together?

b. Will Kevin water both plants together again in February?

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Answer: 28

Step-by-step explanation:

I’m not sure but that’s my guess

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.

Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means

\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{\underline{semi-annually}, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &10 \end{cases}\)

\(A = 4000\left(1+\frac{0.027}{2}\right)^{2\cdot 10}\implies A=4000(1.0135)^{20} \implies \boxed{A \approx 5230.40} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1 ~\hfill \begin{cases} r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{\underline{semi-annually}, thus twice} \end{array}\dotfill &2 \end{cases} \\\\\\ \left(1+\frac{0.027}{2}\right)^{2}-1\implies 1.0135^2-1\approx 0.02718 ~~ \approx ~~ \stackrel{ 0.02718\times 100 }{\boxed{2.718~\%}}\)

Answer:

10.39230485

Step-by-step explanation:

Hey There!

To solve for the hypotenuse we are going to use the 30-60-90 triangle rule

we are given x \(3\sqrt{3}\)

to find the hypotenuse we multiply x by 2

\(2(3\sqrt{3)} =6\sqrt{3}\)

the exact value of \(6\sqrt{3}\) is 10.39230485

so 10.39230485 is your answer

Answer:

\(\boxed{\text{ \Large 6\sqrt{3} $ }}\)

Step-by-step explanation:

Use sine rule

\(\large \text{$ \sf sin(\theta)=\frac{opposite \ side}{hypotenuse \ side} $}\)

\(\large \text{$ \sf sin(30)=\frac{3\sqrt{3}}{hyp} $}\)

Solve for hypotenuse

\(\large \text{$ \sf hyp=\frac{3\sqrt{3}}{sin(30) } = \frac{3\sqrt{3} }{0.5}=6\sqrt{3} $}\)

The amount of square feet that would be lined with extra padding is equal to 1,044 ft².

In Mathematics and Geometry, the lateral surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

SA = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the lateral surface area of a rectangular prism, we have the following;

SA = 2(24 × 12 + 6.5 × 12 + 6.5 × 24)

SA = 2(288 + 78 + 156)

SA = 2(522)

SA = 1,044 ft².

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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Answer: D

Step-by-step explanation: Both the Equality property and the Identity property

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:

28.43% of alligators have lengths greater than 2.2 meters

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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

In this question, we have that:

\(\mu = 2, \sigma = 0.35\)

What percent of alligators have lengths greater than 2.2 meters?

This is 1 subtracted by the pvalue of Z when X = 2.2. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.2 - 2}{0.35}\)

\(Z = 0.57\)

\(Z = 0.57\) has a pvalue of 0.7157

1 - 0.7157 = 0.2843

28.43% of alligators have lengths greater than 2.2 meters

The probability of selecting a blue marble on the first draw and a green marble on the second draw is 0.09.

What is probability?

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

There are 12 marbles in total in the bag, so the probability of selecting a blue marble on the first draw is 4/12.

After the first marble is drawn, there are 11 marbles left in the bag, so the probability of selecting a green marble on the second draw, given that the first marble was blue and has already been removed, is 3/11.

To determine the probability of both events occurring together, we multiply the probabilities. Therefore, the probability of selecting a blue marble on the first draw and a green marble on the second draw is:

(4/12) * (3/11) = 0.0909

Rounding to the hundredth place, the probability is approximately 0.09.

Therefore, the probability of selecting a blue marble on the first draw and a green marble on the second draw is 0.09.

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