suppose that a high school marching band has 108 members. of these 108 band members, 39 are seniors, 23 play the trumpet, and 8 are seniors who play the trumpet. what is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? give your answer as a percentage, rounded to one decimal place.

Expression ( w+4)(w + 7) represent the total area of the garden and walkway.

The area of Rectangle is length times of width.

Given that  the width of the garden, in feet be w.

The length is 3 feet longer than its width, hence:  w + 3

The entire garden is surrounded by a 2-foot-wide cement walkway. Therefore:

garden and walkaway length= (w + 3) + 2 + 2 = w + 7

garden and walkaway width = w + 2 + 2 = w + 4

The area of garden and walkaway

= length times of width

=Length × Width

= (w + 7)(w + 4)

Hence expression ( w+4)(w + 7) represent the total area of the garden and walkway

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Answer: You always use circumference if you are talking about a round object.

The number of pieces of fish that would be there if Jorge divided each fish into tenths is 1730.

It is given that Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces.

We need to calculate the number of pieces of fish that would be there if Jorge divided each fish into tenths.

We know that each of the fish is divided into 10 parts.

The total number of fish available for the dog is 173.

The total number of pieces of fish is equal to the product of the number of available fish and the number of parts each fish is divided into.

The total number of pieces of fish is equal to 173*10.

The total number of pieces of fish is equal to 1730.

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Step-by-step explanation:

lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer

The length of the wall for the ladder reach will be 3.4 meter.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The foot of a ladder is 1.5 m from a vertical wall.

And, The ladder makes an angle of 68° with the horizontal.

Now,

By the figure,

The length of BC = 1.5 m

The measure of ∠ACB = 68°

So, Find the length of AC as;

cos 68° = 1.5 / AC

AC = 1.5 / 0.44

AC = 3.4 m

Therefore,

The length of the wall for the ladder reach will be 3.4 meter.

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Step-by-step explanation:

For the first family, 5 out of the total ratio = 5/63

For the second family, 12 out of the total ratio = 12/63

For the third family, 2 out of the total ratio = 15/63

For the fifth family, 29 out of the total ratio = 29/63

a) The first family = 5/63 of the money, $630

we can therefore say the money they received is

= 5/63 ×630

= $50

b) The last family = fifth family = 29/63 of the money, 630

= 29/63 × 630

= $290

recall that the first family received $50 , the positive difference between the money received by both the first and last family

= $290 - $50

= $240

c) Since another family joins in, the total number of families become 6

we can't find the average without knowing what the second, third, and fourth family received out of that money

the second family = 12/63 ×630

= $120

the third family = 2/63 × 630

= $20

the fourth family = 15/63 × 630

= $150

in this case, we were told the average became $140

which means that

sum of money received by the families/ the number of families involved in the sharing = $140

($630+n)/6= $140

now the plan would be to make n subject of formula

$630+n = $840

take $630 to the other side, it becomes -$630

n = $840-$630

n = $210

therefore the newly added family received $210

I honestly hope I explained it properly...thank you

Answer:

8

Step-by-step explanation:

[tex]6x-6=2(2x+5) \\ \\ 6x-6=4x+10 \\ \\ 2x-6=10 \\ \\ 2x=16 \\ \\ x=8[/tex]

If the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel.

The diameter of the Ferris wheel = 80 meters

The radius of the Ferris wheel = Diameter / 2

= 80/2

= 40 meters

The Total distance travelled by the rider in one revolution = The circumference of the wheel

The circumference of the wheel = 2πr

Where r is the radius of the wheel

Substitute the values in the equation

The circumference of the wheel = 2×3.14×40

= 251.2 meters

Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel  251.2 meters in one complete rotation around the Ferris wheel

The complete question is :

If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?

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Answer:

2 divided by 3 is 0.6 or 2/3

Step-by-step explanation:

Answer:

2/3 or 0.66666666667...

The ball would bounce to a height of 0.92 feet at the 7th bounce

The given parameters are

Initial height = 3.75 feet

Rate of bounce = 79%

The height of the ball after n-th bounce is represented as

H(n) = A * rⁿ⁻¹

Where

In this case, we have

n = 7

So, we have

H(7) = 3.75 * (79%)⁷⁻¹

Evaluate the difference

H(7) = 3.75 * (79%)⁶

Evaluate the product

H(7) = 0.92

Hence, the height of the 7th bounce of the ball is 0.92 feet

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As Jill claims 3 allowances then the amount which is withheld weekly for federal income tax is $11.

Given, Jill earns $264.50 a week.

She is married and claims 3 allowances.

From the table if the wage of a married person is at least $260 but less than $270 and has 3 allowances then weekly income tax is $11.

Individual federal income tax rates in the US are progressive, which means that they rise in proportion to taxable income. Federal income tax rates range from 10% to 37%, and they become effective at a certain level of income. Tax brackets are the ranges of income that the rates apply to. Each tax bracket has a different rate of taxation that applies to certain types of income.

Hence the amount is $11 for federal tax.

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The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

It is known that [tex]log_{a}b[/tex] = c can be written as [tex]a^{c}[/tex] = b.

Given that, log(x^2 + 7) base 4 = 2​

Therefore, x² + 7 = 4²

x² + 7 = 16

x² = 16 - 7 = 9

x² = 9

x = ±3

Hence "The value of x for the given logarithm equation  log(x^2 + 7) base 4 = 2​ is x = ± 3".

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Answer:

The upper pound is 4.25 m and the lower bound is 4.15 m

4.15 m ≤ 4.2 m < 4.25 m

Step-by-step explanation:

Let us solve the question

∵ The length of the car corrected to 1 decimal place

→ 1 decimal place means tenth

∴ It corrected to the tenths place which is 0.1

→ Divide it by 2

∵ 0.1 ÷ 2 = 0.05

∴ The limit is 0.05 m

→ To get the lower bound subtract 0.05 from the length of the car

∵ The length of the care is 4.2 m

∴ The lower bound = 4.2 - 0.05

∴ The lower bound = 4.15 m

→ To get the upper bound add 0.05 to the length of the car

∵ The length of the care is 4.2 m

∴ The upper bound = 4.2 + 0.05

∴ The upper bound = 4.25 m

∴ 4.15 m ≤ 4.2 m < 4.25 m

∴ The upper pound is 4.25 m and the lower bound is 4.15 m

P.s hopes this helps

The equation of a parabola with a focus at (-2,-3) and a directrix at y = -5  is y =  1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)

What is Parabola?

A parabola is the location of a moving point whose distance from a given focus point and directrix line, respectively, is always constant.

let's keep it simple: (x, y). Focus is on (7,5)

When the separation from focus is

[tex]\sqrt{(x - (-2)^{2}) + (y - (-3)^{2} ) }[/tex] . Its distance from directrix y = -5 i.e.

y + 5 = |y + 5|^2

Hence, equation of parabola:

(x - (-2))^2 + (y - (-3))^2 = |y + 5|^2

or, (x + 2)^2 + (y + 3)^2 = |y + 5|^2

x^2 + 4x + 4 + y^2 + 3y + 9 = y^2 + 10y + 25

or, x^2 + 4x + 13 + y^2 + 3y = y^2 + 10y + 25

x^2 + 4x - 12 = 7y

y = (x^2 + 4x - 12)/7

y = 1/7(x^2 + 4x +4 - 4) - 12/7

y = 1/7(x + 2)^2 - 12-4/7

y =  1/7(x + 2)^2 - 8/7

Hence, parabola's equation is y =  1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)

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Answer:

Increase by 3.

Step-by-step explanation:

4 x 21 = 84

84 x 2 = 168

Begin to try numbers.

5 x 22 = 110

6 x 23 = 138

7 x 24 = 168

7 - 4 = 3

24 - 21 = 3

Increase each side by 3 ft. for a total dimension of 7 ft. x 24 ft.

Answer: D) 40

Step-by-step explanation:

mph (miles per hour)

60 minutes is an hour, so the number of miles above 60 minutes (which is 40) is the answer.

Hope this helps!

Answer:

36

Step-by-step explanation:

Unit price: 9 / 5 = 1.8

20 box price: 1.8 * 20 = 36

Here the graph shows reflection across x - axis by 2 units.

f(x) = |x| => g(x) = -2|x|.

Here given the parent function, f(x)=|x|

The translation is , g(x)= -2|x|

Which is an absolute function.

Here the transformation is .

f(x)=|x|  => g(x)= -2|x|

The value of f(x) is reflecting over x- axis and value of y changes by 2 units.

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The solution of x in the mathematical statement is 11.73

From the question, the mathematical statement is given as

x over 5 and 7 tenths equals 2 and 3 tenths.

When represented as an algebraic equation, we have

x/5.10 = 2.30

To start with, we multiply both sides of the equation by 5.10

This is represented as

5.10 * x/5.10 = 2.30 * 5.10

Evaluate the product on the left-hand side

So, we have

x = 2.30 * 5.10

Evaluate the product on the right-hand side

So, we have

x = 11.73

Hence, the value of x is 11.73

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The required simplified value of the given numeral is given as 13.11.

As given in the question, to determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The statment given in the word string, first transform the equation in the mathematical inscription,
So,
x / 5.7 = 2.3
Simplifying,
x = 5.7 × 2.3
x = 13.11

Thus, the required simplified value of the given numeral is given as 13.11.

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All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.

We will also observe that they have a direct connection to the polynomial's factors.

What are polynomial zeros with an example?

Real number k is referred to as the zero of a polynomial P(x) if P(k) = 0. As a result, the polynomial x2 - 3x + 2 has a zero at 1 and a zero at 2.

The equation p(x)=(x-1) (x-3)

Although it is a polynomial of third degree, 2, only has two different zeros. This is due to the zero x=3 having a connection to the factor.

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Answer:

240 trading cards

Step-by-step explanation:

20% of 1200 = .2 × 1200 = 240

Hello!

Let's take this step-by-step:

The formula for the Area of the Triangle:

  [tex]Area = \dfrac{1}{2} *\text{Base} *\text{Height}[/tex]

In this case:

Let's plug in those value's into the equation:

    [tex]\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6[/tex]

Answer: [tex]x^2 + 5x +6[/tex]

Hope that helps!

Percent of the original is the radius of the reduced artery is 0.070 times the original radius.

Given that,

A blood clot has lowered the flow rate in an artery to 8.5% of its usual value, and the average pressure difference has increased by 20.5%.

p1 = 8.5 % ,

p2 = 20.5 %

The equation is using here is From Poiseuille's equation

Q = \Delta p \pi r4 / 8 \eta L

now

Q1 = \Delta p1\pi r14 / 8 \eta L

and

Q2 = \Delta p2\pi r24 / 8 \eta L

Q1 = \Delta p1\pi r14 / 8 \eta L / Q2 = \Delta p2\pi r24 / 8 \eta L

Q1 / Q2 = \Delta p1 ro4 / \Delta p2 r24

r24 = ( 0.085 Q1 / Q1 ) ( \Delta p1 / \Delta p1 + 0.20 \Delta p1 ) ro4

r24 = 0.085 X ( 1 / ( 1 + 0.20 ) ro4  

r2 = 0.070 ro  

As a result, the shortened artery's radius is 0.070 times its original radius, or percent of the original.

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1) A translation of 3 units down, option D.

2) The vertex moves 3 units down.

3) The new range is y ≥ -3, correct option is C.

For a function f(x) a vertical shift of N units is written as:

g(x) = f(x) + N

In this case, we have:

f(x) = |x|

h(x) = |x| - 3

Then h(x) = f(x) - 3

This is a shift of 3 units down, the correct option is D.

How is the vertex affected?

The vertex is translated 3 units down, like the whole graph of the function.

How is the range affected?

The vertex defines the minimum of the range, so if the vertex goes 3 units down, then the range also does, the new range will be:

y ≥ -3.

So the correct option is C.

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The given conditions cannot form a triangle. A triangle cannot be formed if the sum of three angle measurements does not equal 180°.

A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's internal angles equals 180 degrees, which is its most important property. This is known as the angle sum property of a triangle.

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it. Another method for calculating a triangle's exterior angle is to subtract the angle of the vertex of interest from 180°.

A protractor is the most convenient tool for measuring angles. If you don't have a protractor, you can use the basic geometric principles of triangles to determine the size of an angle. To solve the equations, you'll need a scientific calculator.

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Answer:

1/4

Step-by-step explanation:

The square root of 1/16 = 1/4

they probably

The student got the solution to the quadratic equation wrong at step 2

A quadratic equation is a mathematical equation in which it's higher power of unknown is 2.

A quadratic equation can be solved by using 4 different method of choice which are formula method, factorization method , completing the square and graphical method.

x^2+4x-12=0 is an example of quadratic equation.

using factorization method to solve the value of x

x^2+6x-2x-12=0

grouping the equation

(x^2+6x)(-2x-12)=0

x(x+6)-2(x+6)=0

(x+6)(x-2)=0

for the equation to be satisfied

(x+6)=0

or

(x-2)=0

Therefore x= -6 or+2

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Answer: (-3, 3)

Step-by-step explanation:

     See the attached image for my work. First, you need to know the quadrants. In order from the top right counter-clockwise, it goes I (1), II (2), III (3), and IV (4).

     Next, we will count up five units since Quadrant II is above the point, in Quadrant III.

14 and 3 are two numbers for multiplication and addition.

What is multiplication ?

The two numbers are 14 and 3.

   14 + 3 = 17

   14 *  3 = 42

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