What is the measure of DAC?

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

Isosceles Triangle... Btw it's worth 5 points

The conversion of 150 pounds weight in kilograms 68.039.

What is meant by weight?

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Answer:

6

Step-by-step explanation:

divide both sides of the equals by 5 to get p on its own

5p divided by 5 = p

30 divided by 5 = 6

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To determine the rate of simple interest at which an amount grows to \(\displaystyle\sf \frac{5}{4}\) of the principal in 2.5 years, we can use the formula for simple interest:

\(\displaystyle\sf I= P\cdot R\cdot T\)

where:

\(\displaystyle\sf I\) is the interest earned,

\(\displaystyle\sf P\) is the principal amount,

\(\displaystyle\sf R\) is the rate of interest, and

\(\displaystyle\sf T\) is the time period.

Given that the amount after 2.5 years is \(\displaystyle\sf \frac{5}{4}\) of the principal, we can set up the equation:

\(\displaystyle\sf P+ I= P+\left(\frac{P\cdot R\cdot T}{100}\right) =\frac{5}{4}\cdot P\)

Simplifying the equation, we get:

\(\displaystyle\sf \frac{5P}{4} =\frac{P}{1} +\frac{P\cdot R\cdot T}{100}\)

Now, let's solve for the rate of interest, \(\displaystyle\sf R\). We can rearrange the equation as follows:

\(\displaystyle\sf \frac{5P}{4} -\frac{P}{1} =\frac{P\cdot R\cdot T}{100}\)

\(\displaystyle\sf \frac{5P-4P}{4} =\frac{P\cdot R\cdot T}{100}\)

\(\displaystyle\sf \frac{P}{4} =\frac{P\cdot R\cdot T}{100}\)

\(\displaystyle\sf 100P =4P\cdot R\cdot T\)

\(\displaystyle\sf R =\frac{100P}{4P\cdot T}\)

Simplifying further, we find:

\(\displaystyle\sf R =\frac{100}{4\cdot T}\)

Substituting the given time period of 2.5 years, we get:

\(\displaystyle\sf R =\frac{100}{4\cdot 2.5}\)

\(\displaystyle\sf R =\frac{100}{10}\)

\(\displaystyle\sf R =10\)

Therefore, the rate of simple interest required for the amount to grow to \(\displaystyle\sf \frac{5}{4}\) of the principal in 2.5 years is 10%.

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For the graph given for function |x-1|, the relation is one - to - one.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

The graph given is a graph of function |x-1|.

The graph of |x-1| is a V-shaped graph, with the vertex at (1, 0) and the arms extending upward and downward from the vertex.

Since the graph of |x-1| passes the horizontal line test, it is a one-to-one function.

This means that every input (x-value) has a unique output (y-value) and no two different inputs can have the same output.

Therefore, the relation represented by the graph of |x-1| is a one-to-one relation.

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The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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Answer:

  It has the same domain as the function \(f(x)=-\sqrt{-x}\).

Step-by-step explanation:

The function ...

  \(f(x)=\sqrt{-x}\)

has a domain of all non-positive numbers and a range of all non-negative numbers. Anything with a -x under the radical will have the same domain. Any positive root will have the same range.

__

So, we can say it has the same domain as ...

  \(f(x)=-\sqrt{-x}\)

Answer:

A on edge

Step-by-step explanation:

hehe

Answer:

The volume is 1866.

Step-by-step explanation:

For this question, we will take the number of packs of cola which is 16, and multiple it by 6 which gives you 96 then you add the 9 cans that Maria brought which means your answer is 105

Hope this helps

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

Answer:

Plz I 'm not sure but I think it is table b

Answer: answer D

Step-by-step explanation:

16. $2 per 4 lbs --> 200 cents per 4 lbs

4x = 200

x = 50 cents per lbs

17. 3 apples per pound, each pound is 50 cents

3x = 50

x = 17 cents per apple

18. $1.98 per 12 eggs --> 198 cents per 12 eggs

12x = 198

x = 17

19. $1.98 per dozen eggs, $11.88 total

1.98x = 11.88

x = 6 dozens

20. $69.24 per four pairs of shoes

4x = 69.24

x = $17.31

21. One shoe costs $17.31, bought one pair

0.5x = 17.31

x = $34.62

22.

6x = 72

x = 72/6

x = 12

23.

4x = 200

x = 200/4

x = 50

24.

3x = 50

x = 50/3     approximately 16.67

25.

12x = 25.80

x = 25.80/12

x = 2.15

26.

x/2 = 17.31

x = 17.31*2

x = 34.62

27.

4x = 69.24

x = 69.24/4

x = 17.31

28.

12x = 198

x = 198/12

x = 16.5

29.

1.98x = 11.88

x = 11.88/1.98

x = 6

30.

x/4 = 2

x = 2*4

x = 8

31.

Problem 16 --> equation 23

Problem 17 --> equation 24

Problem 18 --> equation 28

Problem 19 --> equation 29

Problem 20 --> equation 27

Problem 21 --> equation 26

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

Answer: 626

Step-by-step explanation:

The value of is 1.645. This is derived from the area under the normal curve between 0 and 1.645 being equal to 0.25, which is one-fourth of the total area under the entire curve.

To calculate this, we must first understand the concept of the Standard Normal Distribution. The Standard Normal Distribution is a normal distribution with a mean of 0 and a standard deviation of 1. This is the basis of the calculation.

Next, we need to understand the concept of the cumulative probability density function. This is a function that gives the probability that a variable will take a value that is less than or equal to a given value.

For our calculation, we will use the cumulative probability density function for the Standard Normal Distribution.

Now, to calculate the value of , we can use the cumulative probability density function. We will set the cumulative probability density function equal to 0.25.

This is the probability that a variable will take a value that is less than or equal to . Solving for, we get 1.645. This is the value of.

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The breakeven quantity for Global Corp. is 3 units, where the total cost equals the total revenue at $27, resulting in neither profit nor loss.



To find the breakeven quantity, we need to determine the output level at which the total cost equals the total revenue. The total revenue is calculated by multiplying the market price ($9) by the quantity produced.From the cost data provided, we can see that the cost increases as the output level increases. We need to find the output level where the total cost equals the total revenue.

By comparing the cost and revenue, we can observe that when the total cost is $27, the revenue from selling 3 units will also be $27. This is the breakeven point, where the company neither makes a profit nor incurs a loss.

Therefore, the breakeven quantity is 3 units. At this output level, the company's total cost will equal its total revenue, resulting in a breakeven situation.

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The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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Answer:

for binary 101111010001. for octal 5721. for base 5 - 44100

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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Answer: 180°

Step-by-step explanation:

If given the bearing from B to A, the bearing from A to B can be found using interior angles. Subtract the bearing of B to A from 180° to find the missing interior angle, then use the fact that angles in a full turn add to 360° to find the bearing of A to B.

Answer:

A.

Step-by-step explanation:

The way the arrow faces, show whether the sign is greater or lesser

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

\(y - 2 = \frac{2}{3} (x - 12) \\ y - 2 = \frac{2}{3} x - 8 \\ y = \frac{2}{3} x - 8 + 2\)

We have the final answer as

\(y = \frac{2}{3} x - 6 \\ \)

Hope this helps you

Answer:

B= 18x

Step-by-step explanation:

use identity :  (a+b)² = a²+2ab+b²   you have a =3x  and b =3 so: B =2ab

the second term of this trinomial is : 2ab  means : 2(3x)(3) = 18x

(3x +3)2=9x2+2(3x)(3)+3²

Here, given the equation in the question, we want to make y the subject of the formula;

The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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You would need to contribute approximately $2,145.44 annually at the end of each year from ages 25 to 60 in order to receive an annual annuity of $54,301 from ages 65 to 95.

To determine the annual contribution required to receive an annual annuity of $54,301 for 30 years, we can use the present value of an annuity formula:

PV = P * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value of the annuity

P = Payment per period (annual annuity payment)

r = Interest rate per period (EAR)

n = Number of periods (number of years)

In this case, the payment per period is $54,301, the interest rate per period is 7.8% (EAR), and the number of periods is 30 years.

We need to find the present value of the annuity at age 25, which will be the accumulated value of the contributions from ages 25 to 60 until age 65.

PV = P * [(1 - (1 + r)^(-n)) / r]

PV = P * [(1 - (1 + 0.078)^(-30)) / 0.078]

Now, we can rearrange the formula to solve for P:

P = PV / [(1 - (1 + r)^(-n)) / r]

P = $54,301 / [(1 - (1 + 0.078)^(-30)) / 0.078]

Using a calculator, we can evaluate the expression to find that the annual contribution required is approximately $2,145.44.

Therefore, You would need to contribute approximately $2,145.44 annually at the end of each year from ages 25 to 60 in order to receive an annual annuity of $54,301 from ages 65 to 95.

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Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

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Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1