As captain of the cheer team Lily is choreographing a routine for a competition. The minimum allowable length for a routine is 3 minutes and the maximum allowable length for a routine is 5 minutes. Write an absolute value for which the two solutions are the minimum and maximum allowable lengths.

Answer:

length of base = 17 cm

Step-by-step explanation:

Area of a triangle A = 1/2 bh where b = base h = height

We are given
b = 2h - 7

A = 102

or
2h = b + 7

h = (b+7) /2

use this in the equation for A

1/2 (b) (b+7)/2 = 102

1/4 x b(b+7) = 102

b(b+7) = 4 x 102

b² + 7 b = 408

b² + 7b - 408 = 0

This is a quadratic equation which can be solved by factoring or using the quadratic formula

We can factor b² + 7b - 408 as follows

Check if b = 17 is correct

With b = 17

h = (b+7) /2

= (17 + 7)/2

= 24/2

= 12

Therefore A = 1/2 x 17 x 12

= 17 x 6

= 102

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

p = 11           q = 3

Step-by-step explanation:

      2p - 3q = 13

-      p - 3q = 2

p = 11

p - 3q = 2​

(11) - 3q = 2

-3q = -9

q = 3

Answer:

p=11 q=3

Step-by-step explanation:

subtract second from first

2p-3q=13

-p+3q=-2

p=11

plug in

11-3q=2

-3q=-9

q=3

To solve for x, the value of x is 40^o.

When two given lines intersect at a point, a series of angles which have common properties called vertical opposite angles are formed.

Two lines are perpendicular if and only if they are at right angle to each other.

To solve for x in the given question, lines AB is perpendicular to CD Let the point of intersection of AB and CD be labelled as O.

Given that: AB ⊥ CD, then;

m<AOD = m<BOC            (vertically opposite angle theorem)

But, m<BOC = 90^o

So that,

(2x + 10) = 90^o

2x = 90 - 10

    = 80

x = 80/ 2

  = 40

x = 40^o

Therefore after solving, it can be deduced that the value of x is 40^o.

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The researcher will Eliminate the nonsignificant independence variable and rerun the regression.  

Meaning of multiple regression analysis: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables. The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

When modeling the relationship between a single response variable and multiple regressor variables, multiple regression analysis is used.

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Answer:

The original number could be 85.

Step-by-step explanation:

Let the 2 digits be x and y.

Let the number be xy then, assuming that x is the larger digit:

x - y = 3.

x = y + 3

Also

10y + x + 10x + y = 143

Substituting for x:

10y + y + 3 + 10(y + 3) + y = 143

22y + 33 = 143

22y = 110

y = 5.

So x = y + 3 = 8.

Answer:

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

➥ x = 5

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence,the original number is 85.

______________________________

(I've included the graphs below.)

So your answer is c, \(\bold{y+4=-\frac{3}{2}(x-2)}\).

______________________________

Answer:

25.981 seconds

Step-by-step explanation:

because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer

The rectangle will form a cylinder when it rotates about the dashed line.

We have to given that;

To find plane figure which generates a cylinder when it rotates about the dashed line.

Hence, By figure we get;

When we rotate all the figure about the dashed line, we get;

The circle will form a sphere.

The rhombus (it can also be a square) will form a 2 cones attached at the bottom.

The rectangle will form a cylinder.

The triangle will form a cone.

Hence, The rectangle will form a cylinder when it rotates about the dashed line.

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Answer:

\(l=\dfrac{2(S-b)}{P}\)

Step-by-step explanation:

The surface area formula for pyramids is given by :

\(S=\dfrac{1}{2}Pl+b\) ...(1)

We need to arrange the formula for l.

Take b to LHS,

\(S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}\)

So, the expression is \(\dfrac{2(S-b)}{P}\) for the slant height.

Answer:

6

Step-by-step explanation:

By intersecting chords theorem:

\(14(x - 3) = 12(x - 2) \\ \\ 14x - 42 = 12x - 24 \\ \\ 14x - 12x = 42 - 24 \\ \\ 2x = 18 \\ \\ x = \frac{18}{2} \\ \\ x = 9 \\ \\ LG = x - 3 \\ \\ LG = 9 - 3 \\ \\ LG = 6\)

Answer:

where is the rest of the question??

Step-by-step explanation:

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

4.8%

Step-by-step explanation:

Step 1: divide the numerator by denominator

Step 2: Multiply 100 with  the answer.

....................................................................

6/125 = 0.048

0.048 * 100

=4.8%

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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The centre of dilation of second circle is same as of first circle and the scale factor is found to be r.

By evaluating the length about one side of such pre-image to the relate to the overall of the post-image, one can establish the scale factor of the dilation. The pre-image must always be multiplied by the scaling factor in order to equal its post-image.

Here, the radius of the inner circle : r1.

Radius of the outer circle : r2

As both are the concentric circles,the centre of dilation will be same for second circle as of first circle.

Difference of radius r = r2 - r1

By the scale factor of r the second circle is dilated to given the radius of r2.

Thus, centre of dilation of second circle is same as of first circle and the scale factor is found to be r.

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Check the picture below.

\(tan(A)=\cfrac{\stackrel{opposite}{55}}{\underset{adjacent}{48}}\implies A=tan^{-1}\left( \cfrac{55}{48} \right)\implies A\approx 48.9^o \\\\\\ tan(B)=\cfrac{\stackrel{opposite}{48}}{\underset{adjacent}{55}}\implies B=tan^{-1}\left( \cfrac{48}{55} \right)\implies B\approx 41.1^o\)

Make sure your calculator is in Degree mode.

The length of vector (a + b) is solved using the parallelogram method to be 9.9

The formula for the resultant using the parallelogram method is

(a + b) = √(a² + b² + 2ab cos Ф)

Plotting the vectors shows that

a = 5.8

b = 4.1

Ф = 163 degrees

plugging in the values

(a + b) = √(5.8² + 4.1² - 2 * 5.8 * 4.1 * cos 163)

(a + b) = √(50.45 - 47.56 * cos 163)

(a + b) = √(98.01)

(a + b) = 9.9

The magnitude of (a + b) = 9.9

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To make the system singular, we need the coefficient of one of the variables to be a multiple of the coefficient of the same variable in the other equation. Let's choose b = 4, which makes the first equation a multiple of the second:

2x + 4y = 16

4x + 8y = g

To make the system solvable, we need the two equations to not be parallel, which means the slopes must be different. Let's choose g = 32, which gives the second equation a slope of 1/2:

2x + 4y = 16

4x + 8y = 32

We can solve this system using substitution or elimination. Let's use elimination:

-2(2x + 4y = 16) -> -4x - 8y = -32

4x + 8y = 32

0 = 0

We see that the last equation is always true, which means the system has infinitely many solutions. We can find two solutions by setting x = 0 and solving for y:

2(0) + 4y = 16

y = 4

So one solution is (0,4). Now let's set y = 0 and solve for x:

2x + 4(0) = 16

x = 8

So another solution is (8,0).

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Answer: 60%

Step-by-step explanation:

(5 × p) / 100 = 3

((5 × p) / 100) × 100 = 3 × 100

5p = 300

5p / 5 = 300 / 5

p = 60

Percent Increase = 60

Pls mark brainliest,thankyou.

Answer:

b

Step-by-step explanation:

There are 9 members in the math club

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

The following frequency distribution is derived from the dot plots:

Age 9 = 2

Age 10 = 0

Age 11 = 1

Age 12 = 2

Age 13 = 4

So, the total membership of the math club is: Total 9

Hence, there are 9 members in the math club.

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If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

Is there supposed to be a joke in this?

Answer:

bro what

Step-by-step explanation:

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

C.{2,3,4,6,7,8}

Step-by-step explanation:

Determine XUY={1,2,3,4,5,6,7,8}

Determine YUZ={2,3,4,6,7,8,9,10}

Find their intersection={2,3,4,6,7,8}

Answer:

XUY ={2,3,4,6,7,8}

YUZ ={2,3,4,7,8}

Step-by-step explanation:

That is the answer and sorry because your pic is blurry.

1) C = 3.14 × 1 cm

or, C = 3.14 cm

2) C = 2 × 3.14 × 5m

or, C = 3.14 × 10m

or, C = 31.4 m

3) C = 2 × 22/7 × 14 cm

or, C = 28 × 22/7 cm

or, C = 4 × 22 cm

or, C = 88 cm

4) L = 90/360 × 2 × 22/7 × 5 cm

or, L = 1/4 × 10 × 22/7 cm

or, L = 220/28 cm = 55/7 cm

or, L = 7 whole 6/7 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:de

Step-by-step explanation:

The derivative of the function P(x) = \(x^{2}\)- 4x + \(\sqrt{x}\) - 3 is (2x - 4) + (0.5 / \(\sqrt{x}\)).

To find the derivative of the given function P(x) = \(x^{2}\) - 4x + \(\sqrt{x}\) - 3, we can apply the rules of differentiation. We will differentiate each term separately and add them together.

For the first term,\(x^{2}\), we use the power rule which states that the derivative of\(x^n\)is n * \(x^{n-1}\). Therefore, the derivative of \(x^{2}\) is 2x.

For the second term, -4x, the derivative of a constant multiple of x is simply the constant. So, the derivative of -4x is -4.

For the third term, \(\sqrt{x}\), we use the chain rule. The derivative of\(\sqrt{x}\) with respect to x is (1/2) * \(x^{(-1/2)}\) or, equivalently, 0.5 / sqrt(x).

The last term, -3, is a constant, so its derivative is 0.

Finally, adding all the derivatives together, we get P'(x) = (2x - 4) + (0.5 / \(\sqrt{x}\)).

Finally, the derivative of the function P(x) = \(x^{2}\) - 4x + \(\sqrt{x}\) - 3 is (2x - 4) + (0.5 / \(\sqrt{x}\)).

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Answer:

Range is the difference between the largest number and the smallest number in a set of values.

Explanation:

For example, if I have a set of values of 12, 4, 6, 34, 6, 2, 7, and 5, the range here will be 32. This is because 34, the largest number in the set minus 2, the smallest number equals 32.