A 11 1/4 candle burns in 9 hours at what rate does the candle burn per hour


i really need help on this one

Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

The curve with vector equation r(t) = t³i + 2t³j + 3t³k is actually a curve in three-dimensional space, known as a cubic curve.

The vector equation r(t) = t³i + 2t³j + 3t³k describes a curve in three-dimensional space. This curve is known as a cubic curve because the highest power of t in each component of the vector equation is 3.

To visualize the curve, we can consider the motion of a particle that moves along the path described by the equation r(t) = t³i + 2t³j + 3t³k. The position of the particle at time t is given by the vector r(t), which has three components: x = t³, y = 2t³, and z = 3t³.

If we plot the points (x, y, z) for different values of t, we get a curve in three-dimensional space. This curve has a unique shape that is determined by the vector equation.

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Based on the given options, the correct decision error is option b, where the psychologist concludes that memory does not improve when, in fact, it does improve.

In the context of hypothesis testing, there are two types of errors that can occur: Type I error and Type II error.

Type I error occurs when the psychologist concludes that there is an effect or improvement in memory when, in reality, there is no effect or improvement. This error is represented by option d, where the psychologist concludes that memory does improve when the true situation is that it does not improve.

Type II error occurs when the psychologist concludes that there is no effect or improvement in memory when, in reality, there is an effect or improvement. This error is represented by option b, where the psychologist concludes that memory does not improve when the true situation is that it does improve.

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Answer:

\(\stackrel{\large{\frown}}{ADC} = 186^{\circ}\)

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of \(\stackrel{\large{\frown}}{ADC}\)

\(The\ sum\ of\ angles\ in\ a\ circle\ is\) \(360^{\circ}\).

So, we have:

\(\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}\)

Where:

\(\stackrel{\large{\frown}}{APB} = 70^{\circ}\)

\(\stackrel{\large{\frown}}{BPC} = 104^{\circ}\)

Substitute these values in the above equation.

\(\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}\)

\(\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}\)

Collect Like Terms:

\(\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}\)

\(\stackrel{\large{\frown}}{ADC} = 186^{\circ}\)

Answer:

186 is correct on khan academn=y

In ΔRST, the measure of ∠T=90°, the measure of ∠R=29°, and ST = 6.7 feet. Find the length of TR to the nearest tenth of a foot.

We will draw the rectangle triangle:

We can use the trigonometry property where the sine of an angle (∠R) is equal to the ratio between the opposite side (ST) and the hypotenuse (RS).

Also, the cosine of ∠R is equal to the ratio between the adyacent side (RT) and the hypotenuse (RS).

We can express this as:

The length of TR is 12 feet.

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = \(\pi\) × d

198 = \(\pi\) × 63

\(\pi\) = \(\frac{198}{63}\)

\(\pi\) = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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Answer:

1.03% of 0.054=0.0005562

Therefore, all 120 students passed at least one subject from the the Venn diagram.

Let's start by drawing a Venn diagram.

    D

 o-----o

/ \   / \

/   \ /   \

o-----o-----o

  F   20

Where D represents the set of students who passed Dagare, F represents the set of students who passed Fante, and the overlap between D and F represents the set of students who passed both.

To find the number of students who passed only one subject, we need to subtract the number of students who passed both subjects from the total number of students who passed each subject individually.

Number of students who passed only Dagare: 60% - 20% = 40%

Number of students who passed only Fante: 80% - 20% = 60%

So the number of students who passed only one subject is:

0.4 x 120 + 0.6 x 120 = 48 + 72 = 120

Therefore, all 120 students passed at least one subject.

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On solving the provided question, we can say that in the quadrilateral BD = 11, BC = 8, DC = 8 and perimeter of ABCD is = 38

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

in the quadrilateral

BD = 11 ( equal angle have equal sides)

BC = 8

DC = 8

perimeter of ABCD is = 38

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make a plotting graph and use the x and y axis and make little point :) hope this helps

Answer:

What math class is this?

Step-by-step explanation:

Answer:

$36.8

Step-by-step explanation:

Answer:

42/55

Step-by-step explanation:

of basically means multiply

6/5 * 7/11 = 42/55

Answer:

\( \frac{42}{55} \)

Step-by-step explanation:

\( \frac{6}{5} \times \frac{7}{11} \)

\( \frac{6 \times 7}{5 \times 11} \)

\( \frac{42}{5 \times 11} \)

\( = \frac{42}{55} \)

The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

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Answer: x=67, y=23

Here are our 2 equations

x+2=3y

x+y+90=180

Simplifying,

x+2=3y

x+y=90

Now that we know this, we can use the 2nd equation to find x in terms of y,

x=90-y

and substitute in the first equation.

(90-y)+2=3y

=>92-y=3y

=>4y=92

=>y=23

So x=90-23

=>x=67

HOPE THIS HELPS

The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (2⁴)⁻¹

Using the properties of the integer exponent:

= 1/2⁴

The above number is one over two raised to the fourth power

Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

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We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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The values of k for which the augmented matrix follows the consistent  linear system are all the real numbers except 2 i.e. R- {2}

The linear equations become consistent when it has unique or infinitely many solutions. We have to find k according to the linear system which is consistent.

Consider the given matrix,

\(\left[\begin{array}{ccc}1&k&-4\\4&8&2\end{array}\right]\)

After dividing R2 by 2,

\(\left[\begin{array}{ccc}1&k&-4\\2&4&1\end{array}\right]\)

Now the linear equations will be,

x+ky = -4

2x+4y = 1

For infinitely many solutions it should be coincident lines so a1/a2=b1/b2=c1/c2 which is not going to happen for any value of k.

Therefore it should follow the condition of a unique solution i.e.

a1/a2\(\neq\)b1/b2

1/2\(\neq\)k/4

k\(\neq\)2

Therefore the value of k other than 2  i.e R-{2} will satisfy the linear equations.

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The best way for Abdulbaasit to buy the car would be to opt for the bank loan with the cash discount, as it offers a lower monthly payment and immediate cost savings.

To determine the best way to buy a car, we need to compare the financing options provided by the dealership and the bank. Let's evaluate both scenarios:

1. Financing at the dealership:

- Car price: $30,000

- Interest rate: 2.4% per year, compounded monthly

- Loan term: 5 years (60 months)

Using the provided interest rate and loan term, we can calculate the monthly payment using the formula for monthly loan payments:

Monthly interest rate = \((1 + 0.024)^(1/12)\) - 1 = 0.001979

Loan amount = Car price = $30,000

Monthly payment = Loan amount * (Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Loan term))

Plugging in the values:

Monthly payment = $30,000 * 0.001979 /\((1 - (1 + 0.001979)^(-60)) =\)$535.01 (approximately)

2. Bank loan with a cash discount:

- Car price with the $3,000 cash discount: $30,000 - $3,000 = $27,000

- Interest rate: 5.4% per year, compounded monthly

- Loan term: 5 years (60 months)

Using the provided interest rate and loan term, we can calculate the monthly payment using the same formula as above:

Monthly interest rate = (1 + 0.054)^(1/12) - 1 = 0.004373

Loan amount = Car price with cash discount = $27,000

Monthly payment = $27,000 * 0.004373 / (1 - (1 + 0.004373)^(-60)) = $514.10 (approximately)

Comparing the two options, we can see that the bank loan with the cash discount offers a lower monthly payment of approximately $514.10, compared to the dealership financing with a monthly payment of approximately $535.01. Additionally, with the bank loan option, Abdulbaasit can pay immediately in cash and save $3,000 on the car purchase.

Therefore, the best way for Abdulbaasit to buy the car would be to opt for the bank loan with the cash discount, as it offers a lower monthly payment and immediate cost savings.

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Answer:

The answer is D.5(9a-2b)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5x9a -5x2b= 45a - 10b

so that is the answer

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

Answer:

213 ft²

Step-by-step explanation:

\(\textcolor{steelblue}{\text{Area of rectangle = length}\times\text{breadth}}\)

Area of figure

= area of rectangle A + area of rectangle B +area of rectangle C

Rectangle A

Length= 12 ft

Breadth= 8 ft

Area= 12(8)= 96 ft²

Rectangle B

Length= 3 ft

Breadth= 3 +8= 11 ft

Area= 3(11)= 33 ft²

Rectangle C

Length= 4 ft

Breadth= 21 ft

Area= 4(21)= 84 ft²

Thus, area of figure

= 96 +33 +84

\( = \textcolor{red}{213 \: \text{ft}^{2} }\)

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

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Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

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Answer:

1. All real numbers

Step-by-step explanation:

Simplifies to f(x) = 6x - 63, it will cross all x and y values.

The domain and range of the given function are all real numbers

We have given that,

f(x)=3(x−15)2+27​

f(x)=(3x-45)2+27

f(x)=6x-90+27

The domain is the set of points at which the function is defined.

The range of a set of data is the difference between the largest and smallest values. The difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.

To f(x) = 6x - 63, it will cross all x and y values.

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When removing personal protective equipment (PPE) after caring for a client with a respiratory isolation order, the nurse should follow a specific sequence to ensure proper infection control.

The recommended sequence is as follows:

1. Perform hand hygiene to reduce the risk of contamination.

2. Remove gloves by peeling them off one at a time, taking care not to touch the outer surface.

3. Perform hand hygiene again to maintain cleanliness.

4. Take off the gown or protective clothing, rolling it inside out to contain any contaminants.

5. Perform hand hygiene once more to ensure clean hands.

6. Remove the face shield or goggles, handling only the straps or earpieces.

7. Finally, remove the mask or respirator, taking care not to touch the front of it. Dispose of all used PPE appropriately.

Following this sequence helps prevent the spread of pathogens and maintain a safe environment for both the nurse and the client.

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Answer:

$159.82

Step-by-step explanation:

Pretty sure thats right.

Answer:

\(n(x)=x-2\)

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Answer:

47.67 miles (in 40.86 minutes or 40 minutes and 51.6 seconds)

Step-by-step explanation:

Simple. Multiply these values together to cancel out the quantity in the denominator (cross multiply).

0.681 * 70 = 47.67

let x be the distance in miles:

70.0/1 = x/0.681

0.681 * 70 = 1 * x

47.67 = 1 * x

47.67 = x

To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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