Simplify the expression d + 11 - 8d.

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

Therefore, the length of each of the three remaining sides is 46/3 inches, or approximately 15.33 inches.

Perimeter is a term used in geometry to describe the total length of the boundary of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The concept of perimeter is important in many practical applications, such as construction, landscaping, and engineering. For example, when building a fence around a garden, the perimeter of the garden would be the length of the fence needed to enclose it. In engineering, the perimeter of a structure or component can help determine the amount of material needed to build or repair it.

Here,

Let's label the sides of the kite as follows:

Side A: the side with a length of 18 inches

Side B: one of the remaining sides

Side C: the other remaining side

Side D: the remaining side that is opposite to Side A

We are told that the perimeter of the kite is 82 inches. The perimeter is the sum of the lengths of all four sides, so we can write:

Perimeter = Side A + Side B + Side C + Side D

Substituting the values we know, we get:

82 = 18 + Side B + Side C + Side D

We also know that Side B, Side C, and Side D add up to the same length as Side A, since the kite is symmetrical. That is:

Side A = Side B + Side C + Side D

Substituting Side A = 18, we get:

18 = Side B + Side C + Side D

Now we have two equations:

82 = 18 + Side B + Side C + Side D

18 = Side B + Side C + Side D

We can subtract the second equation from the first to eliminate Side B, Side C, and Side D:

82 - 18 = 18 + Side B + Side C + Side D - (Side B + Side C + Side D)

64 = Side A

So the length of each of the three remaining sides is:

Side B = Side C = Side D = (Side A - 18)/3 = (64 - 18)/3 = 46/3

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Answer: 2.5

Step-by-step explanation:

20/8=2.5

Answer:

do 20/8

Step-by-step explanation:

1 battery costs $2.50

Answer:

^two dimentional figure with algebra^

the perimwter from triangle is:

s1 + s2 + s3

ok, enter:

s1 + s2 + s3= 369

x + (8x -5) + 2x = 369

x + 8x - 5 + 2x = 369

group according to the same variable

(x + 8x + 2x) + (-5)=369

11x + (-5)=369

11x - 5= 369

11x = 369 + 5

11x =374

x =374 : 11

x = 34

ok, subtituted:

s1= x

=34 feet

s2= 8x - 5

=8(34) - 5

=272 - 5

=267 feet

s3= 2x

=2(34)

=68 feet

Answer:

6(3 + 4)

Step-by-step explanation:

GCF of 18 and 24 is 6

6 (3 + 4)

I hope this helps!

Answer:

36%

Step-by-step explanation:

9% x 4 years = 36%

Answer:

$2.56

Step-by-step explanation:

If you multiply 12.82 by .20, you would get 2.564. Then you just round it up and the answer you get is $2.56. Hope this helps!

Answer:

9.1 ticket for galoon

Step-by-step explanation:

I hope I can help

Step-by-step explanation:

14,38×12=172.56

together they spend 172.56 for food

415.44-172.56= 242.88

Together their tickets cost 242.88

242.88/12=20.24

eqch ticket was 20.24

By applying the concept of the dependent events, it can be concluded that the probability of drinking alcohol or being over 21 years old is 0.24.

Independent events occur if the first event does not affect the second event.

P(A ∩ B) = P(A) * P(B)

Dependent events are those which depend upon what happened before. These events are affected by the outcomes that had already occurred previously.

P(A ∩ B) = P(A) * P(B|A)

A = event that a student is over 21 years old.

B = event that a student drinks alcohol.

Probability of a college student drinking alcohol = 0.6

Probability of event A: P(A) = 30% = 0.3

Given that the student is over 21 years old, the probability of drinking alcohol, P(B|A) = 0.8

The probability of drinking alcohol or being over 21 years old is a condition that makes events A and B dependent:

P(A ∩ B) = P(A) * P(B|A)

              = 0.3 * 0.8

              = 0.24

Thus, the probability of drinking alcohol or being over 21 years old is 0.24.

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Answer:

N

Q

Cost (dollars)

0

cost of the tickets in dollars.

32 Each ticket to ride a carousel costs $2 50. The table st

relationship between x, the number of tickets bought, -

Y

8 10

Number of Tickets

LA COORDINATE PLANE

Carousel Rides

Number of Tickets, x

1

5

2

3

Carousel Rides

which graph best represents the data shown in the table?

Carousel Rides

Carousel Rides

Cost (dollars)

DO

6

6

Cost (dollars)

12

0

Cost, y (dollars)

2.50

5.00

7.50

12.50

4

2

6

Number of Tickets

Carousel Rides

12

Step-by-step explanation:

Based on the data given in the table, the graph that best represents the relationship between the number of tickets bought and the cost of riding the carousel is the one that shows a linear relationship between the two variables.

The table shows that for each ticket bought, the cost of riding the carousel increases by $2.50. This means that the relationship between the number of tickets bought and the cost of riding the carousel is linear, with a slope of $2.50.

Therefore, the graph that best represents this relationship is the one that shows a straight line with a slope of $2.50 passing through the points (1, $2.50) and (5, $12.50). This graph is represented by the option labeled "Carousel Rides" with the x-axis showing the number of tickets bought and the y-axis showing the cost in dollars.

Answer:

a) x = 70

b) a = 50

Step-by-step explanation:

a)  Angles on a straight line add up to 180°

⇒ 52 + x + 58 = 180

⇒ x = 180 - 52 - 58

⇒ x = 70

b) Angles around a point add up to 360°

⇒ 120 + 90 + a + a + a = 360

⇒ 210 + 3a = 360

⇒ 3a = 360 - 210

⇒ 3a = 150

⇒ a = 150 ÷ 3

⇒ a = 50

Answer:

a) x = 70°

b) a = 50°

Step-by-step explanation:

Part (a)

52° + x° + 58 = 180° (Angles on a straight line add up to 180 degrees.)

x + 110 = 180

Subtract 110 to both sides

x = 180 - 110

x = 70°

Part (b)

a° + a° + a° + 90° + 120° = 360° (Angles at a point add up to 360 degrees)

3a + 210 = 360

Subtract 210 to both sides

3a = 360 - 210

3a = 150

Divide both sides by 3

a = 150 / 3

a = 50°

\(\rule[225]{225}{2}\)

Hope this helped!

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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Answer:

t=x+44

Step-by-step explanation:

the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44

The value of the given expression is 9/10. The properties of real numbers, such as commutative and distributive are used for solving this expression.

The properties are:

The given expression is

(-3/7) × 6/5 + (3/2) - (6/5) × 1/14

applying commutative law (a + b = b + c)

⇒ (-3/7) × 6/5 - (6/5) × 1/14 + (3/2)

again applying commutative law (a × b = b × a)

⇒ (-3/7) × 6/5 - 1/14 × (6/5)+ (3/2)

applying distributive law (a × (b + c) = a × b + b × c) in reverse order

⇒ (-3/7 - 1/14) × (6/5)+ (3/2)

⇒ (-7/14) × (6/5)+ (3/2)

⇒ (-1/2) × (6/5)+ (3/2)

⇒ (-6/10) + (3/2)

⇒ (-6 + 15)/10

⇒ 9/10

Thus, the required value is 9/10 and the suitable properties are commutative and distributive.

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Answer: A

Step-by-step explanation: hope this helps!

please give brainliest!

Answer:

A. Michael must get a degree in engineering LOLLLLL

Answer:

UMAMI I think may be the answer to your question

Step-by-step explanation:

a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4

b) Since there is only one #2, the probability is only 1/8.

c) Probability of landing on #3 is 2/8 or 1/4.

d) Probability of landing on a #4 is 1/8

e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4

Answer:

\(2.75,\ 0.1x\)  

\(2.75\)

Step-by-step explanation:

In the expression \(2.75+0.1x\) the number \(2.75\) represents the cost of a movie ticket in 1980 and \(x\) represents the years after 1980. So increase per year is represented by \(0.1x\).

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, \(x\) will be \(2\).

In 1980, zero years have passed so, \(x=0\)

Therefore the cost of movie tickets is represented by \(2.75+0.1\times 0=2.75\)

The sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value of the t-distribution with (n - 1) degrees of freedom.

For the given case, the most appropriate confidence interval would be the t-interval for the population mean. Confidence interval: A confidence interval refers to the range of values that are likely to include the population parameter. Confidence intervals provide us with a range of values where the true mean lies with some degree of certainty. The formula to calculate a confidence interval for the mean with a known population standard deviation is as follows

\(:\[\overline{x}-z\frac{\sigma }{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+z\frac{\sigma }{\sqrt{n}}\]Where, \[\overline{x}\]\) is the sample mean, σ is the population standard deviation, z is the critical value of the normal distribution and n is the sample size.

Now, since the population standard deviation is unknown, a t-distribution must be used instead of the normal distribution. Thus, the formula to calculate a confidence interval for the mean with an unknown population standard deviation is as follows:\(\[\overline{x}-t\frac{s}{\sqrt{n}}\text{ }\le \text{ }\mu \text{ }\le \text{ }\overline{x}+t\frac{s}{\sqrt{n}}\]\)

Where, s is the sample standard deviation, and t is the critical value of the t-distribution with n - 1 degrees of freedom. Given that the sample size is 55, the appropriate degrees of freedom to use would be (55 - 1) = 54.Since we are constructing a confidence interval for the true mean filling amount of DoubleStuf Oreos, the appropriate confidence level to use would depend on the desired level of certainty or the margin of error. Commonly used levels of confidence are 90%, 95%, and 99%. A 95% confidence level is usually preferred for most cases.

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To answer this question, we need to consider the area under the graph of the function f for different intervals. Let's look at each interval separately:

a) ∫0 to 8 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 8. From the graph, we can see that the area under the curve for this interval is negative, since the curve is below the x-axis. Therefore, the value of this integral is negative.

b) ∫5 to 8 f(x) dx: This integral represents the area under the graph of f from x = 5 to x = 8. From the graph, we can see that the area under the curve for this interval is positive, since the curve is above the x-axis. Therefore, the value of this integral is positive.

c) ∫4 to 8 f(x) dx: This integral represents the area under the graph of f from x = 4 to x = 8. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval b, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral b.

d) ∫0 to 4 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 4. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval a, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral a.

Therefore, the quantities listed in increasing order from smallest to largest are:

a) ∫0 to 8 f(x) dx (negative)
b) ∫5 to 8 f(x) dx (positive)
c) ∫4 to 8 f(x) dx (greater than b)
d) ∫0 to 4 f(x) dx (greater than a)

In summary, the area under the graph of a function can be used to compare integrals for different intervals. By analyzing the graph and determining the sign and magnitude of the area under the curve for each interval, we can list the integrals in increasing or decreasing order.

a)  \(\int\limits^8_0 {f(x)} \, dx\), the value of this integral is negative.

b)  \(\int\limits^8_5 {f(x)} \, dx\), the value of this integral is positive.

c) ) \(\int\limits^8_5 {f(x)} \, dx\) , the value of this integral is greater than the value of integral b.

d)   \(\int\limits^4_0 {f(x)} \, dx\), the value of this integral is greater than the value of integral a.

What is the function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have
Given:  the area under the graph of the function f for different intervals.

a) \(\int\limits^8_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 8.

We can see that the area under the curve for this interval is negative since the curve is below the x-axis.

Hence, the value of this integral is negative.

b) \(\int\limits^8_5 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 5 to x = 8.

We can see that the area under the curve for this interval is positive since the curve is above the x-axis.

Hence, the value of this integral is positive.

c) \(\int\limits^8_4 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 4 to x = 8.

We can see that the area under the curve for this interval is greater than the area under the curve for interval b since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral b.

d) \(\int\limits^4_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 4.

We can see that the area under the curve for this interval is greater than the area under the curve for interval a since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral a.

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The values in the table represent a linear function with the function rule y = 3x + 6, where x is the input value and y is the output value.

To determine if the values in the table represent a linear function, we can check if there is a constant rate of change between the input and output values. This means that for every increase or decrease in the input value, there is a constant increase or decrease in the output value.

Looking at the input and output values in the table, we can see that for every increase of 1 in the input value, the output value increases by 3. This constant rate of change indicates that the values in the table represent a linear function.

To find the function rule, we can use the slope-intercept form of the equation for a linear function, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, we can find the slope by dividing the change in output values by the change in input values:

slope = change in output / change in input = 3/1 = 3

Therefore, the slope of the function is 3. To find the y-intercept, we can use one of the points in the table. For example, we can use the first row, which gives an input value of 0 and an output value of 6:

y = mx + b

6 = 3(0) + b

b = 6

Therefore, the y-intercept of the function is 6. Combining the slope and y-intercept, we can write the function rule as:

y = 3x + 6

This means that for any input value x, the output value y is equal to three times x plus six.

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a) A z-score of 2.67 corresponds to a very small probability, indicating that a pregnancy length of 308 days is indeed unusual. b) The probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software.

To find the z-score for a given value, we can use the formula:

z = (x - μ) / σ

where:

x is the given value,

μ is the mean,

σ is the standard deviation,

and z is the z-score.

a) For a pregnancy length of 308 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 308 days

z = (308 - 268) / 15 = 40 / 15 ≈ 2.67

To determine if this length is unusual, we can compare the z-score to the standard normal distribution table or use statistical software to find the corresponding probability.

b) For a pregnancy length of 150 days:

Mean (μ) = 268 days

Standard Deviation (σ) = 15 days

x = 150 days

z = (150 - 268) / 15 = -118 / 15 ≈ -7.87

Similarly, we can find the probability associated with a z-score of -7.87 using the standard normal distribution table or statistical software. A negative z-score indicates a value below the mean. In this case, a pregnancy length of 150 days would have an extremely low probability, suggesting it is highly unusual and likely indicative of a significant deviation from the norm.

The complete question is:

A woman wrote to Dear Abby and claimed that she gave birth 308 days after a visit from her husband, who was in the Navy. Lengths of pregnancies have a mean of 268 days and a standard deviation of 15 days. Find the z score for 308 days. Is such a length unusual?  

a) What is the probability for this pregnancy?

b) What is the probability for  150 days pregnancy?  Mean = 268, Standard Deviation = 15.

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Answer: \(35x+9\leq 310,\ 8\)

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

\(\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6\)

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

Answer:

Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.

Step-by-step explanation:

Hope this helps

Answer:

b

Step-by-step explanation:

edge 2022

Step-by-step explanation:

To simplify the given radical expression, we can first break down 2401 into its prime factors, which gives us:

2401 = 7^4

We can then simplify the given expression as follows:

^4 sqrt (2401x^12y^16) = ^4 sqrt (7^4 * x^12 * y^16)

= ^4 sqrt (7^4) * ^4 sqrt (x^12) * ^4 sqrt (y^16)

= 7 * x^3 * y^4

Therefore, the simplified form of the given expression is 7x^3y^4.

The solution of the given initial value problem is: \(y = y0e6t\) where y0 is the initial condition that is

y(0) = 6. Placing this value in the equation above, we get:

\(y = 6e6t\)

Given that the initial condition is y0 = 6,

the differential equation is\(dy/dt = 6y.\)

As we know that the solution of this differential equation is:\(y = y0e^(6t)\)

where y0 is the initial condition that is y(0) = 6.

Placing this value in the equation above, we get :\(y = 6e^(6t)\)

Hence, the solution of the given initial value problem is\(y = 6e^(6t).\)

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Answer:

one apple costs $1.71

Step-by-step explanation:

let 'y' = price of an orange

let '2/3y' = price of an apple

6(2/3y) + 3y = 18

4y + 3y = 18

7y = 18

y = 18/7 or 2.57

2/3(2.57) = 1.71

The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.