As my family and I are headed to Breckenridge Inn, I glanced up from my book and noticed my husband driving 65 mph. Hopefully we will not slide on the snow. What type of speed is that? Average Speed, Total Speed, Instantaneous Speed, Light Speed​

Answer:

28

Step-by-step explanation:

Yep

Answer:

28 is the correct answer

Answer:

x12

Step-by-step explanation:

When multipling  numbers that are the same with exponent you can just add the exponents.

so x5*x7=x12

(It would be subtraction if there was division)

Hope this helped you and feel free to ask questions!

Answer:

x^12

Step-by-step explanation:

When multiplying exponents, the rule below is followed.

\(x^a * x^b= x^{a+b}\)

Basically, the base remains the same, but the numbers in the exponents are added.

We are given:

\(x^5*x^7\)

We leave the base (x)as is, and add the numbers in the exponents (5 and 7).

\(x^5*x^7\\\)

\(x^{5+7\)

\(x^{12}\)

The expression \(x^5*x^7\\\) can be simplified as: \(x^{12{\)

Answer:

80 and 20

Step-by-step explanation:

Let the 1st no. be 'x'.

2nd no. should be 'x + 60'.

If the larger no.(x + 60) is divided by the smaller number(x), the quotient is 4.

=> (x + 60)/x = 4

=> x + 60 = 4x

=> 60=4x-x

=> 60=3x

=> 60/3 = x

=> 20 = x

No. are x = 20 and x+60 = 20+60= 80

Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

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The most important details are that a club consisting of 11 men and 12 women needs to choose a committee with one more women than the number of men on the committee, and that the sum of prime numbers that divide N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119.

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. To find the sum of the prime numbers that divide N, the approach is as follows: Let k represent the number of men on the committee, then the number of committees with k men is given by: 12Ck  11C(k-1) + 12C(k+1)  11Ck + 12C(k+2)  11C(k+1) +  + 12C23  11C22. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The answer is 119.

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Answer:

11x^2 - x + 15

Step-by-step explanation:

x^2-x+8+10x^2+7 =

= 11x^2 - x + 15

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The resistance of the other would be 8. 57 Ohms

From the information given, we have that;

The total resistance = 20 Ohms

The resistance of one of the resistors = 15 Ohms

Now, we have that the formula for calculating the total resistance is expressed as;

1/R = 1 /x + 1/ y,

Now, substitute the values, we get;

1/20 = 1/15 + 1/y

collect the like terms, we have;

1/y = 15 + 20 /300

collect the values

1/y = 35/300

Take the inverse, we have;

y = 300/35

y = 8. 57 Ohms

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By substituting the values of the total acceleration and the angle θ, we can calculate the x and y components of the acceleration.

Remember to consider the coordinate system selected in part b and any given information to determine if there are forces acting in the x and y directions. If there are, you can use the equations above to calculate the x and y components of the acceleration.

To find the x and y components of the acceleration of the box, we need to consider the coordinate system that was selected in part b.

In a Cartesian coordinate system, the x-axis represents horizontal motion and the y-axis represents vertical motion. The acceleration of an object can be broken down into its x and y components.

To find the x-component of the acceleration (ax), we look at the acceleration in the horizontal direction. This could be due to forces like friction or an applied force. If there are no horizontal forces acting on the box, the x-component of the acceleration would be zero.

To find the y-component of the acceleration (ay), we look at the acceleration in the vertical direction. This could be due to forces like gravity or a normal force. If there are no vertical forces acting on the box, the y-component of the acceleration would also be zero.

However, if there are forces acting on the box in both the x and y directions, we can calculate the x and y components of the acceleration using trigonometry. Let's say the total acceleration of the box is represented by a, and the angle it makes with the x-axis is represented by θ.

The x-component of the acceleration (ax) can be calculated using the equation:

ax = a * cos(θ)

The y-component of the acceleration (ay) can be calculated using the equation:

ay = a * sin(θ)

By substituting the values of the total acceleration and the angle θ, we can calculate the x and y components of the acceleration.

Remember to consider the coordinate system selected in part b and any given information to determine if there are forces acting in the x and y directions. If there are, you can use the equations above to calculate the x and y components of the acceleration.

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Answer: 6 inches of chain will he have left after making the necklaces

Step-by-step explanation:

There is a missing information. The correct question is:

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces.

Solution

We would convert 4.5 feet to inches

1 foot = 12 inches

4.5 feet = 4.5 × 12 = 54 inches

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. It means that the number of the 16 inches pieces of gold chain that can be gotten to make each of 3 necklaces necklaces is 16 × 3 = 48

The length of chain left chain that will he have left after making the necklaces is

54 - 48 = 6 inches

Answer:

there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Step-by-step explanation:

To determine the greatest number of plates she can make using all the cheese and crackers, find the highest common factor of 24 and 40

24 = 2, 3, 4, 6, 8, 12, 24

40 = 2, 4, 5, 8, 10, 20, 40

Highest common factor of 24 and 40 is 8

24 cubes of cheese / 8 plates = 3 cubes of cheese per plate

40 crackers / 8 plates = 5 crackers per plate

So, there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Answer:

Given that a circle of radius 5 miles has an arc of length 3 miles.

The central angle of the arc can be found using the formula:\(\[\text{Central angle} = \frac{\text{Arc length}}{\text{Radius}}\]\)

Substitute the given values into the formula to get:\(\[\text{Central angle} = \frac{3}{5}\]\)

To get the answer in degrees, multiply by 180/π:\(\[\text{Central angle} = \frac{3}{5} \cdot \frac{180}{\pi}\]\)

Simplify the expression:\(\[\text{Central angle} \approx 34.38^{\circ}\]\)

Therefore, the measure of the central angle that subtends the arc of length 3 miles in a circle of radius 5 miles is approximately 34.38 degrees.

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There are no values of the constant for which y = eˣ is a solution to the equation 3y'' - 20y = 0.

to find the values of the constant for which y=eˣ is a solution to the equation 3y'' - 20y = 0, we need to substitute y = eˣ into the equation and solve for the constant.

let's start by finding the first and second derivatives of y = eˣ:y' = eˣ

y'' = eˣ

now substitute these derivatives into the equation:3y'' - 20y = 3(eˣ) - 20(eˣ) = (3 - 20)eˣ = -17eˣ

since y = eˣ is a solution to the equation, we have -17eˣ = 0. this equation holds only if eˣ = 0, but eˣ is never equal to 0 for any value of x. next, let's find the values of the constants a and b for which y = ax + b is a solution to the equation y'' - 4y' + y = 0.

first, we find the first and second derivatives of y = ax + b:

y' = ay'' = 0

now substitute these derivatives into the equation:

y'' - 4y' + y = 00 - 4a + ax + b = 0

matching the coefficients of the terms with corresponding powers of x:

a = 4ab = -4a

from the first equation, we have a = 0, which means a can be any value.

substituting a = 0 into the second equation, we get b = 0.

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The points that represent viable solutions include the following:

B. (5, 3,000).

C. (20, 2200).

E. (10, 1,100).

In order to graphically determine the viable solution for this system of equations on a coordinate plane, we would make use of an online graphing tool to plot the given system of quadratic equations while taking note of the point of intersection;

y = x² + 4x - 1          ......equation 1.

y + 3 = x       ......equation 2.

Based on the graph shown (see attachment), we can logically deduce that the viable solutions for this system of quadratic equations is the point of intersection of each lines on the graph that represents them in quadrant I, which are represented by the following ordered pairs;

(5, 3,000).

(20, 2200).

(10, 1,100).

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Missing information:

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

To test the researcher’s claim that on average high school students sleep less than middle school students, a two-sample t-test can be used.

Standard deviations are a measure of how spread out data points are from the mean. It is a measure of variability that is used to describe the distribution of data around the mean. Standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. It is used in statistical analysis to measure the spread of data points in relation to the mean.

The two-sample t-test tests the difference in means between two independent samples. The null hypothesis for the test states that the means of the two groups are the same, while the alternative hypothesis states that the means of the two groups are not the same.

To perform the two-sample t-test at the 5% level of significance, first the data needs to be organized into a two-sample t-test format. The mean and standard deviation of the middle school students is 7 hours and 0.2, respectively, and the mean and standard deviation of the high school students is 7.9 hours and 5, respectively.

Next, the two-sample t-test is conducted using a calculator or a computer program. The test statistic is calculated from the sample means, sample sizes, and standard deviations of the two groups. The p-value is calculated from the test statistic and degrees of freedom. If the p-value is below the 5% level of significance, then the null hypothesis is rejected and the alternative hypothesis is accepted.

In this example, the p-value of the two-sample t-test is 0.0007, which is below the 5% level of significance. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted, indicating that on average high school students sleep less than middle school students.

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The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:

Formula used in finding the peak flood is as follows:

Q_T= Q_m + K_T

σ

Where Q_T is the flow for a given period,

Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.

For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}

Substitute the mean and standard deviation to the formula above:

When the period of interest is 2 years, the coefficient of skewness is calculated below:

[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]

Also, K_{T} is 1 for the 10-year and 100-year flood.

When these values are computed, we get the following values:

Q_{2}=3500+1(2000)=5500 \text{ cfs}

Q_{10}=3500+1(2000)=5500 \text{ cfs}

Q_{100}=3500+1(2000)=5500 \text{ cfs}

Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.

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Answer:

there's nothing there..

Step-by-step explanation:

Answer:

i need the question to answer though

Step-by-step explanation:

On solving the provided question we can say that by null hypothesis There is insufficient proof to conclude that student attendance has changed.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

This is a z-test for a proportion.

\(H0:p=.34 H1:p not=.34\\\alpha=0.01 ... this is a\\2-tailed test\\critical values are +2.58, -2.58\\p=.34 (given) q=1-p=.66\\p^=.33\\z=(p^-p)/sqrt(pq/n)\\z=(.33-.34)/sqrt(.34*.66/8302)\\z=-.01/.0051961\\z=-1.92\)

1.96 does not fall in the reject region

There is insufficient proof to conclude that student attendance has changed.

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Answer:

(4x+5i)(4x-5i)

Step-by-step explanation:

The probability of independent events A and B occurring is 0.046.

The probabilities of events A and B are given by P(A)=0.46 and P(B)=0.10.

To find the probability of independent events A and B occurring, we use the formula P (A and B) = P(A) × P(B).

Given, A and B are independent events.

Hence the probability of A and B occurring is the product of the probability of A and the probability of B.

Substituting the given values in the above formula,

P(A and B) = P(A) × P(B) = 0.46 × 0.10= 0.046.

Therefore, the probability of independent events A and B occurring is 0.046.

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The given question is incomplete, the given question is

The probabilities of events AA and BB respectively are P(A)=0.46 and P(B)=0.10. If AA and BB are independent events, then:

a) find P(AandB)=

15 hours.

(please mark me as brainlest.)

Answer:

15 hours

Step-by-step explanation:

I'll assume "1 2" is 1/2 and "7 1 2" is 7 1/2.

We can make this into an equation by using x for hours and 1/2 as the rate and set it equal to 7 1/2 to find x.

1/2x=7 1/2

Divide each side of the equation by 1/2.

x=15

SO it took 15 hours for 7 1/2 inches of snow to fall

The slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the equation is -15y=18x+7. We have to write the equation in the slope-intercept form.

The slope-intercept form of the equation is,

y=mx+c

Where, m is the slope and c is the intercept,

-15y=18x+7

y=(-18/15)+(-7/15)

y= -1.2x-0.46

Thus, the slope-intercept form of the equation -15y=18x+7 will be y= -1.2x-0.46.

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Step-by-step explanation:

We need to find the circumference of the equation.

One circle circumference is a circle full rotation.

\(c = \pi(d)\)

\(d = 2r\)

\(c = 2r\pi\)

R is 14.

\(c = 28\pi\)

We need a rotation 10times so

\(10 \times 28\pi = 280\pi\)

61 matchsticks need to make 20 squares.

Given,

From the figure,

Matchsticks are used to make the pattern.

To make these 4 squares, you need 13 matchsticks.

To find the how many matchsticks do you need to make 20 squares?

Now, According to the question:

Let the need matchsticks be 'n'

The number of the squares to make 1 square , you need 4 matchsticks,

and when you need to add one square, you need three more matchsticks .

So , we have to make  n no. of squares you need

4 + 3(n - 1) matchsticks     (n \(\geq\) )

= 4 + 3n - 3

= 1 + 3n

When, n = 20

1 + 3 x 20

= 61

Hence, 61 matchsticks need to make 20 squares.

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The given triangle will be an obtuse triangle.

As the above mention criteria fulfill the requirement of obtuse triangle.

As, ab and <ACB=134.76° that is greater that 120 degree.

A triangle is a polygon with three edges and three vertices. it is one of the simple shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC. In Euclidean geometry, any 3 factors, when non- collinear, decide a unique triangle and concurrently, a completely unique plane.

A triangle is a 3-sided polygon, which has 3 vertices. The three sides are linked with each different end to quit at a point, which bureaucracy the angles of the triangle. The sum of all 3 angles of the triangle is equal to a hundred and eighty tiers.

Triangles are shapes with 3 aspects. There are extraordinary names for the kinds of triangles. A triangle's type relies upon on the length of its facets and the size of its angles (corners). There are three varieties of triangle primarily based on the period of the edges: equilateral, isosceles, and scalene.

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