The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

\(R = \$903.125\)

Step-by-step explanation:

Given

\(Selling\ Price = \$289\)

\(Rate = 32\%\)

Required

Determine the regular price (R)

From the question, we understand that:

\(R * 32\% = \$289\)

So, we have:

\(R * 0.32 = \$289\)

\(R = \frac{\$289}{0.32}\)

\(R = \$903.125\)

Hence, the regular price is $903.125

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

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Answer:

The Residence Act of July 16, 1790, put the nation's capital in current-day Washington as part of a plan to appease pro-slavery states who feared a northern capital as being too sympathetic to abolitionists

Step-by-step explanation:

Answer:

Because of its central location

Step-by-step explanation:

Answer:

826

Step-by-step explanation:

a+b=978

a=152

b=978-152=826

Answer:

First you need to get your variable(x) by itself.

You do that by adding 16 to both sides of the greater than sign.

The 16 cancels or goes away. and 16 + 4 =20.

Your new equation is 20<4x

Finally you divide 20 by 4 to get 5

Your answer is 5<x or x>5.

Answer:

Step-by-step explanation:

First multiply 9x3

=\(27xy^4x^3y\)

give the terms that dont have a exponent a 1

=\(27x^1y^4x^3y^1\)

Multiply terms with the same base

\(27x^{1+3} y^4x^3y^1\)

Multiply terms of same base

\(27x^{1+3}y^{4+1}\)

Just add all the exponents

\(27x^{4}y^{5}\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Answer:

(1,2) and (x-2)-3 should be on the graph

Step-by-step explanation:

Answer:  A 90% confidence interval to estimate the mean vitamin D level in the population = (26.22,27.78)

Interpretation: We are 90% confident that the true population mean lies in  (26.22,27.78).

Step-by-step explanation:

Let X denotes a random variable that represents the vitamin D level .

As per given,

\(\text{Sample size=}n=42\\\\ \text{Sample mean=}\overline{x}=27\\\\ \text{Sample standard deviation}= s= 3\)

Since population standard deviation is unknown , so we will use t -test .

For that, Degree of freedom = df = n-1 = 41

Significance \(\alpha=1-0.90=0.1\)

Two-tailed critical t-value : \(t_{\alpha/2,n-1}=t_{0.05,41}=1.683\)

Confidence interval for population mean:

\(\overline{x}\pm t_{\alpha/2,n-1}\dfrac{s}{\sqrt{n}}\\\\ =27\pm (1.683)\dfrac{3}{\sqrt{42}}\\\\ =27\pm (1.683)\dfrac{3}{6.4807}\\\\=27\pm (1.683)(0.463)\\\\=27\pm0.78\\\\=(27-0.78,\ 27+0.78)\\\\=(26.22,27.78)\)

So, a 90% confidence interval to estimate the mean vitamin D level in the population = (26.22,27.78)

Interpretation: We are 90% confident that the true population mean lies in  (26.22,27.78).

Answer:

800 i think

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

Y=3x

Step-by-step explanation:

I'm pretty sure it would be y=3x because you have to multiply the cost of the tickets by the number of tickets

A box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A box that is 2 by 3 by 5 has a total of 2 x 3 x 5 = 30 cubes. To build a box that will hold twice as many cubes, we need to find the dimensions that will give a total of 60 cubes.

Let's assume the dimensions of the new box are x, y, and z. Then, we have:

xyz = 60

We can express one of the variables in terms of the other two.

z = 60 / (xy)

Substitute this in above equation.

xy60/xy=60

60=60

This is true for any values of x and y, as long as z is calculated as z = 60 / (x y).

There are infinitely many solutions for the dimensions that will give a box with a total of 60 cubes.

set of dimensions that satisfies the condition is x = 2, y = 3, and z = 10.

Hence, a box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

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Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1

The completed proof is presented as follows;

The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.

<FCD = <FCG + <GCE + <ECD by angle addition property <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the subtraction property of equality . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since the ratio of corresponding sides of similar triangles are equal then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the multiplication property of equality to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.

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Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

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Answer:

8cm

Step-by-step explanation:

I think that's right hope it helps

Answer:

3.5: 0.75 is the aswee

Step-by-step explanation:

I just turned into improper then decimal

pls give me brainliest

Answer:

First investment = $3100

Other investment =  $3600

Step-by-step explanation:

Total investment made by Henry = $6700

Let one investment be x,

Then other investment = total investment - first investment = 6700 - x

A) For 8% interest, investment = x

dollar value of 8% investment = 8/100*x= 8x/100

A) For 5% interest, investment = 6700- x

dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100

Total return on both the investment =  8x/100 + 5(6700- x)/100

  = (8x +33500 - 5x)/100 = (3x+33500)/100

Given that total return = 428

Therefore,

(3x+33500)/100 = 428

=>  3x+33500 = 428*100 = 42800

=> 3x = 42800- 33500 = 9300

=> x = 9300/3 = 3100

Thus, first investment = x = $3100

other investment =  $(6700 - 3100) = $3600

1,000 mL

Have a nice day :)

The cost of hammer and saws is  $12 and  $15 respectively.

A condition on a variable is what an equation in algebra is called. Variable can only be satisfied the equation if   variable has a specific value. It indicates that only the value of x = 9 may satisfy the equation 2x - 5 = 13.

One hammer and 4 saws cost $ 72.

2 hammers and 6 saws costs  $ 114.

Equation according to the condition are

Equation1: x+4y=72

Equation2: 2x+6y=114

Multiplying equation1 by 2 and subtracting it from equation 2 we get

2x+8y-2x-6y=2×72-114

2y=30

y=15

Putting the value of y in equation 1 , we get

x+4(15)=72

x=72-60

x=12

y=14

Hence, The cost of hammer and saws is 12 and 15 respectively.

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Answer:

The last one - 256 people

The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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The answer will be 16 minutes.

In mathematics and statistics, the arithmetic mean or arithmetic average, or just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection

An arithmetic average is the sum of a series of numbers divided by the count of that series of numbers. If you were asked to find the class (arithmetic) average of test scores, you would simply add up all the test scores of the students and then divide that sum by the number of students.

The arithmetic mean or mean is the simplest way to calculate the average for the given set of numbers. It is classified into two different types, namely simple arithmetic mean and weighted arithmetic mean.

leave at 7 a.m.=

x₁= 32+28+35+26+39/5

⇒ 160/5

⇒ 32 minutes.

x₂ = 46+44+52+50+48/5

⇒ 240/5 = 48 min

Δx = x₂- x₁

= 48-32

= 16minutes.

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the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

Answer:

50 percent the cost of meals

Answer:

116

Step-by-step explanation:

this is the correct answer

The answer to this question: B