Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.

Step-by-step explanation:

\(11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2\)

(a) cos t = sin t, Step 1: Convert the equation into a single trigonometric function.
sin t = cos (90° - t)

Step 2: Substitute the given equation.
cos t = cos (90° - t)

Step 3: Find the general solution.
t = 90° - t + 360°k, where k is an integer.

Step 4: Solve for t.
2t = 90° + 360°k

Step 5: Find the solutions between 360° and 720°, inclusive.
For k=0: t = 45° (not in the given interval)
For k=1: t = 405° (within the given interval)
For k=2: t = 765° (not in the given interval)

Answer: t = 405°

(b) ta t = -4.3315

(c) sin t = -0.9397

Step 1: Find the reference angle.
t_ref = arcsin(0.9397) ≈ 70°

Step 2: Find the general solution.
t = 180°k - 70°, where k is an integer.

Step 3: Find the solutions between 360° and 720°, inclusive.
For k=2: t = 290° (not in the given interval)
For k=3: t = 470° (within the given interval)
For k=4: t = 650° (within the given interval)

Answer: t = 470°, 650°

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Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

Answer:

m∠B = 31°

Step-by-step explanation:

To find m∠B, we use the theory that in order to get it we must find the difference between the two arcs GM and VR and dividing it into 2

When putting this to equation we get:

m∠B = \(\frac{1}{2}\) * (VR - GM) = \(\frac{1}{2}\) * ( 94° - 32°) = \(\frac{1}{2}\)(62°) = 31°

Vector is the quantity that has magnitude as well as direction. The component form of the vector that translates P(-3,6) to P'(-4,8)  is -i + 2j.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

The given points are P(-3,6) to P'(-4,8) .

The vector component form of two points (x₁,y₁) and (x₂,y₂) is given by ,

(x₂-x₁)i + (y₂-y₁)j

Therefore, The vector component form of given points are,

(-4-(-3))i + (8-6)j

-i + 2j.
Hence "The component form of the vector that translates P(-3,6) to P'(-4,8) -i + 2j.

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Answer:

1, My friend’s house is about 160940 cm from mine

2, My bedroom is 2940 sq ft

3, My fish tank holds 24000 ml

4, I ran 6378.1 km this year!

5, The national park in my state is 322280000 cubic miles

Step-by-step explanation:

give da crown XD

Answer:

The radius is just under 4 cm.

Step-by-step explanation:

The central angle for the entire circle is 360 degrees.

The fraction (89/360)(total circle area) = 12.36m^2.

Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.

Area of a circle (in general) is A = πr²

Here we know A and π and must find r² and then r:

                                        A

A = πr² becomes r² = ----------

                                        π

Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2

and r = square root of r² = 3.99, or approximately 4 cm

Answer:

100 minutes (an hour and 40 minutes)

Step-by-step explanation: divide 60 by 3 to get 20 and multiply 20 by 5 to get 100.

Answer:

Option C) is the correct answer.

Working in certain industries or environments can lead to various injuries, including sprains, muscle pains, severe fatigue, falls, burns, chemical exposure, machinery malfunctions, and even explosions.

In certain industries or work environments, employees may face a higher risk of injuries due to the nature of their tasks and the surrounding conditions.

Severe fatigue is another concern, especially in occupations that involve long hours or physically demanding work. Fatigue can impair judgment and coordination, increasing the likelihood of accidents and injuries

Additional injuries can result from falls, which can happen due to slippery surfaces, uneven ground, or inadequate safety precautions. Burns may occur when working with hot objects, open flames, or chemicals without proper protective measures. Chemical exposure can lead to injuries ranging from skin irritation to more severe health issues.

Machinery malfunctions pose a significant risk, especially if safety features are not in place or not properly maintained. Accidents involving machinery can cause serious injuries, such as fractures, amputations, or even fatalities. In some cases, explosions may occur in work environments where hazardous materials or volatile substances are present.

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Answer:

The answer is 3 yards

Answer:

Solving the equation \(15 = 3n + 6p\) for variable n we get \(\mathbf{n=5-2p}\)

Step-by-step explanation:

We need to solve the equation \(15 = 3n + 6p\) for variable n

Solving:

\(15 = 3n + 6p\)

Subtract both sides by 6p

\(15-6p = 3n +6p -6p\\15-6p=3n\)

Switch sides of equality

\(3n=15-6p\)

Divide both sides by 3

\(\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p\)

So, solving the equation \(15 = 3n + 6p\) for variable n we get \(\mathbf{n=5-2p}\)

The simplified expression for the product \((4x\sqrt{5x^2} )(2x^2\sqrt{6})\) is:

\(8\sqrt{30} x^4\)

The given expression is:

\((4x\sqrt{5x^2} )(2x^2\sqrt{6})\)

Note that :

\(\sqrt{5x^2} = x\sqrt{5}\)

The given expression can then be re-written as:

\((4x^2\sqrt{5} )(2x^2\sqrt{6})\)

Multiplying like terms together:

\(8x^4\sqrt{30}\)

Finally, the resulting expression can be written as:

\(8\sqrt{30} x^4\)

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Answer:

D 104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot

Step-by-step explanation:

Edg 2022

Answer:

Step-by-step explanation:

No, because 9 > 3+4

The required probability is  \(\frac{1}{10}\).

This problem is related to probability.

First we have to calculate the number of outcomes and then the number of favorable outcomes.

In this case the numbers are from 1 to 150.

First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}

Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}

Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.

Now the probability of the required problem is = \(\frac{15}{150}\)

                                                                         = \(\frac{1}{10}\)

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Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

Answer:

a= 126 degrees

b= 54 degrees

r= 54 degrees

s= 126 degrees

Step-by-step explanation:

The probability that a standard normal random variable, Z, is between -1.65 and 1.82 can be found by subtracting the cumulative probability at -1.65 from the cumulative probability at 1.82.

To find the cumulative probability, you can use a standard normal distribution table or a calculator. The cumulative probability at -1.65 is 0.0495, and the cumulative probability at 1.82 is 0.9656.

So, the probability that Z is between -1.65 and 1.82 is 0.9656 - 0.0495 = 0.9161.

In other words, the probability of Z being between -1.65 and 1.82 is approximately 0.9161.

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Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

The correct option is C. The type of baseball bat

The test variable in this experiment is the independent variable that is deliberately changed or manipulated by the students to observe its effect on the outcome. The students designed the experiment to test which baseball bat will hit the ball the longest distance, and the different types of bats were tested as the independent variable. In this case, the students are testing different baseball bats to determine which one will hit the ball the longest distance.

Therefore, the type of baseball bat is the test variable as it is being varied and tested to see how it affects the distance the ball travels.

Therefore, the correct option is C. The type of baseball bat

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Answer:

15/x-2

Step-by-step explanation:

Cant attach the photo but you use a division table

Answer:

4

Step-by-step explanation:

Step 1:

- 8 = - ( x + 4 )

Step 2:

- 8 = - x - 4

Step 3:

- 4 = - x

Answer:

x = 4

Hope This Helps :)

The exponential function represented on the graph is f(x) = (1/3)\(.^x\). The correct option is B.

The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given graph is representing the exponential function f(x) = (1/3)\(.^x\) The graph is attached with the answer below. The graph is showing the inverse fraction of ( 1/3).

Therefore, the exponential function represented on the graph is f(x) = (1/3)\(.^x\). The correct option is B.

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Answer:

Step-by-step explanation:

k ≤ -3-8 subtract 8 from both sides

k ≤ -11

the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line

Answer:

567

Step-by-step explanation:

The formula for finding Volume = LXWXH

9x7x9=567

Answer:

what do you need help with

Answer:

$32.50

Step-by-step explanation:

10% of 35$ is $3.50 if ur decreasing $35 by 10% it will be $3.50-$35=$32.50

To determine if parents feel differently today compared to twenty years ago, we can conduct a hypothesis test using the given data. Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is the same today as it was twenty years ago.

Alternative hypothesis (Ha): The proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is different today compared to twenty years ago.

We can use a hypothesis test for a single proportion to compare the proportions. Let p1 represent the proportion twenty years ago, and p2 represent the proportion today.

Given information:

Twenty years ago: 53% of parents felt it was a serious problem.

Recent survey: 325 out of 850 parents felt it was a serious problem.

Using the recent survey data, we can calculate the sample proportion of parents who feel it is a serious problem today:

p2 = 325/850 = 0.3824

To calculate the test statistic, we need to compare the sample proportion today to the proportion twenty years ago.

Under the null hypothesis, we assume that p1 = p2. Thus, we can estimate the common proportion using the combined sample proportion:

p = (x1 + x2) / (n1 + n2)

where x1 is the number of parents who felt it was a serious problem twenty years ago, and n1 is the total number of parents twenty years ago.

Assuming p1 = p2 = p, we can calculate the test statistic:

z = (p2 - p) / sqrt(p(1-p)(1/n1 + 1/n2))

We can then compare the test statistic to the critical value at the α = 0.1 level of significance.

If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis and conclude that parents feel differently today compared to twenty years ago. Otherwise, if the test statistic falls within the non-rejection region, we fail to reject the null hypothesis and do not conclude a significant difference.

Since the exact values for the number of parents and the total number of parents twenty years ago are not provided, we cannot calculate the precise test statistic or critical value.

However, you can use the provided formula and the specific values to perform the calculations and draw a conclusion based on the test statistic and critical value for α = 0.1.

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To ensure that all the relevant information is included in the answer, the following explanations will be given.

There are different types of ANOVA such as one-way ANOVA and two-way ANOVA. These ANOVA types are determined by the number of factors or independent variables. One-way ANOVA involves a single factor and can be used to test the hypothesis that the means of two or more populations are equal. On the other hand, two-way ANOVA involves two factors and can be used to test the effects of two factors on the population means. In the question above, the type of ANOVA used is not given.

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