Drew has completed 18 of his last 30 passes in football practice. If he attempts 120 passes this week, how many is he likely to complete?

Answer:

11 years

Step-by-step explanation:

Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:

100(1.0153)^x = 118

Taking the natural logarithm of both sides, we get:

ln 100 + x ln 1.0153 = ln 118

Then x ln 1.0153 = ln 118 - ln 100, or

                           = 4.7707 - 4.6052

    ... which leads to:

                                4.7707 - 4.6052

                         x = ---------------------------   =  11 years (rounded up from 10.888 )

                                     0.0152

Answer:

11 years

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the answer is 8.4 so it might not be rounded up but I figure what about the other people?

9 chefs are needed. you have to divide 2,944 by 350

Answer:

28.27

Step-by-step explanation:

Answer:

The surface area of cylinder = 28.26 m²

Step-by-step explanation:

Points to remember

Surface area of cylinder = 2πr(r + h)

Where r - Radius of cylinder and

h - Height of cylinder

To find the surface area of given cylinder

Here r = 1.5 m and h = 1.5 m

Surface area =  2πr(r + h)

 = 2 * 3.14 * 1.5(1.5 + 1.5)

 = 2 * 3.14 * 1.5 * 3

 = 28.26 m²

Therefore the surface area of cylinder = 28.26 m²

Answer:

35

Step-by-step explanation:

Note that the absolute value always produces a positive result

Given

| a² - 2ac + 5c | ← substitute in given values

= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |

= | 9 - 24 - 20 | = | - 35 | = 35

They give you the equation:

[tex]|a^{2} - 2ac + 5c|[/tex]

We know that:

a = -3

b = 2

c = -4

You can replace the variables with their corresponding values like this:

[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]

You can then go on and do PEMDAS to solve this:

First the exponents:

[tex]-3^{2} = 9[/tex]

[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]

Then you can multiply all that needs to be multiplied together from left to right:

[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]

[tex]|9 - 24 + 5(-4)|[/tex]

[tex](5)(-4) = -20[/tex]

[tex]|9 - 24 + (-20)|[/tex]

[tex]|9 - 24 -20|[/tex]

Now from left to right subtract:

9 - 24 = -15

[tex]|-15 -20|[/tex]

-15 - 20 = -35

[tex]|-35|[/tex]

^^^The | | mean to take the absolute value of the number. In other words make it positive

So the answer to this is 35

Hope this helped!

It would take the willy-nilly bike club 4 days to ride from one end of the trail to the other

By dividing the total distance of the trail (72 miles) by the distance the bike club covers each day (18 miles), we find it would take 4 days for the Willy-Nilly Bike Club to ride from one end of the Pine Scrub Rail Trial to the other.

To find out how many days it will take the Willy-Nilly Bike Club to ride the entire Pine Scrub Rail Trial, we will use division. This kind of mathematical problem is a practical application of division in real-life scenarios.”

The total length of the trail is 72 miles. If they cover 18 miles each day, we can divide the total miles by the miles they ride each day.

So, 72 ÷ 18 = 4 days.

Therefore, it will take the Willy-Nilly Bike Club 4 days to ride from one end of the trail to the other, assuming they ride 18 miles every day without taking any breaks.

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Answer:  [tex]c(x) =\left \{ {{18\qquad 0<x\leq 3} \atop {6.5x+18\quad x>3}} \right.[/tex]

Step-by-step explanation:

The first equation is c(x) = 18 when x is between 0 and 3 (including 3).

The second equation is c(x) = 6.5x + 18 when x is greater than 3

Answer:

For Answer 7 its the first one   (x + 6) • (x - 7)

Step-by-step explanation:

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-x-42  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -42  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -42 = -42  

Step-2 : Find two factors of  -42  whose sum equals the coefficient of the middle term, which is   -1 .

     -42    +    1    =    -41  

     -21    +    2    =    -19  

     -14    +    3    =    -11  

     -7    +    6    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  6  

                    x2 - 7x + 6x - 42

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x-7)

            Which is the desired factorization

Final result :

 (x + 6) • (x - 7)

Cody can play 12 games.

Hello!

Answer: (-6,8)

A coordinate graph might help.

Hope I helped in time!

Good luck!

~ Destiny ^_^

Answer:

the answer is b (-6,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]12a=\bold{(3)}(4)\bold{(a)}\\\\9a^2=\bold{(3)}(3)\bold{(a)}(a)\\\\GCF(12a,\ 9a^2)=\bold{(3)(a)}=3a[/tex]

ANSWER

The amplitude is 2 and the maximum value is 2.

EXPLANATION

The given function is

[tex]f(t) = 2 \sin(t) [/tex]

This function is of the form:

[tex]f(t) = a\sin(bt) [/tex]

The amplitude of this function is

[tex] |a| [/tex]

Hence the amplitude is

[tex] |2| = 2[/tex]

Since the amplitude is 2, and there is no vertical shift, it means the function is bounded by

y=-2 and y=2.

The maximum value is :

2

The answer is:

The correct option is:

B) 83 feet

To solve the problem, we need to use the following trigonometric identity:

[tex]Tan(\alpha)=\frac{Opposite}{Adjacent}[/tex]

Which, translated to our problem, will be:

[tex]Tan(\alpha)=\frac{Height}{Base}[/tex]

We are given two triangles, and we know their height and their angles between their hypothenuse and their bases.

So,

For the first triangle, we have:

[tex]height=60ft\\\alpha=64\°[/tex]

So, using the trigometric identity of the tangent, we have:

[tex]Tan(\alpha)=\frac{Height}{Base}\\\\Tan(64\°)=\frac{60ft}{Base}\\\\Base=\frac{60ft}{Tan(64\°)}=\frac{60ft}{2.05}=29.27ft[/tex]

Therefore, we have that the base of the first triangle is equal to 29.27 feet.

For the second triangle, we have:

[tex]height=60ft\\\alpha=48\°[/tex]

So, using the trigometric identity of the tangent, we have:

[tex]Tan(\alpha)=\frac{Height}{Base}\\\\Tan(48\°)=\frac{60ft}{Base}\\\\Base=\frac{60ft}{Tan(48\°)}=\frac{60ft}{1.11}=54.05ft[/tex]

Therefore, we have that the base of the second triangle is equal to 54.05  feet.

Now, to calculate the horizontal distance between the two trees (x), we need to use the following formula with the obtained values of both triangles:

[tex]HorizontalDistance=FirstTriangleBase+SecondTriangleBase\\\\HorizontalDistance=29.27ft+54.05=83.29ft[/tex]

Hence, we have that the distance between the two trees rounded to the nearest foot is 83 feet.

Have a nice day!

Answer:

h = 12 units

Step-by-step explanation:

Area of a Parallelogram = base × perpendicular height  (A = b × h)

In the diagram above we can obtain the following:

(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)

Since A = b × h

    ⇒ A ÷ b = b ÷ b × h  (dividing both sides by b)

    ⇒ h = A ÷ b    (making h the subject of the eq'n)

thus  h = 72 unit² ÷ 6 units

            = 12 units

Answer:

17 liters

Step-by-step explanation:

0.5 and above will make 1, 0.4 and below makes it the same

Answer:

Step-by-step explanation

i believe the answer is 300

100 times 60 cents would be 60.00$

the question states that the white balloons are half off making it 30 cents

300 times 30 is 90.00

90.00 plus 60.00 would be 150.00$

300 white balloons is what he may purchase

He can purchase 300 white balloons.

Wei can purchase 100 blue balloons for $60.00 (100 * $0.60). He has $150.00 - $60.00 = $90.00 left to spend on white balloons. Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. Therefore, Wei can purchase $90.00 / $0.30 = 300 white balloons. In total, he can purchase 100 blue balloons and 300 white balloons for the garland.

To calculate the number of white balloons Wei can purchase, we first find the total cost of the blue balloons, which is 100 * $0.60 = $60.00. Then, we subtract this from Wei's budget of $150.00 to find the remaining amount for white balloons: $150.00 - $60.00 = $90.00.

Since the white balloons are on sale for half price, each white balloon costs $0.60 / 2 = $0.30. We divide Wei's remaining budget by the cost per white balloon to find how many he can purchase: $90.00 / $0.30 = 300 white balloons.

So, Wei can purchase 100 blue balloons and 300 white balloons for the garland.

Complete question:

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.

[tex]\frac{\sqrt{2 + \sqrt2}}{2}[/tex]

Answer:

Step-by-step explanation:

Note that 17pi/8 can be rewritten as 16pi/8 + 1pi/8.  16pi/8 represents 2 full rotations around the center and can be ignored if we just want the cosine of the angle 17pi/8.  We are left then with 1pi/8.

We need to find the cosine of this angle.  Note that 1pi/8 is 1/2 of 1pi/4, so this situation calls for use of the half angle formula

                     1 + cos Ф

cos Ф/2 = √(---------------).   Here Ф = π/4, and half that is ω = π/8, and the                                                                                            

                            2                                  cosine of π/4 is 1/√2.

                                         1 + 1/√2               √2 + 1            2 + √2

So we get cos pi/8 = √( -------------- )   = √ ------------- = √ ---------------

                                               2                      2√2                    4

Answer:

1. 5(4 + 6) + 1-0

2. 9(9b + 2)

3. 40

4. Nine plus r multiplied by four over five and then added to eight w.

5. The quotient is [tex]\frac{45}{d}[/tex]

Step-by-step explanation:

Answer:

(x - 3)² + (y - 8)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (3, 8) and r = 2

(x - 3)² + (y - 8)² = 4 ← equation of circle

The equation of a circle with center (3, 8) and radius 2 will be given as

[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].

Equation of circle is given as,

[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]

where,

(a,b) are the coordinates of the center of the circle in form (x, y),

r is the radius of the circle.

Now, the equation of a circle with center (3, 8) and radius 2.

Given to us,

a = 3,

b = 8,

r = 2.

substituting the values,

[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]

[tex]( x -3 )^2 + ( y -8 )^2 = 2^2[/tex]

[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex]

Hence, the equation of a circle with center (3, 8) and radius 2 will be given as  [tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].

Learn more about circles:

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Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.

To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.

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6

The formula for a quadratic equation (parabola) is y = ax^2 + bx + c, and c is the y-intercept. Following this, the y-intercept of this parabola is 6.

Answer:

(k + 7)(3k - 8)

Step-by-step explanation:

To factor the quadratic

Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term

product = 3 × - 56 = - 168 and sum = + 13

The factors are + 21 and - 8

Use these factors to split the k- term

3k² + 21k - 8k - 56 ( factor the first/second and third/fourth terms )

= 3k(k + 7) - 8(k + 7) ← factor out (k + 7)

= (k + 7)(3k - 8)

Answer:

not sure what you need help on but im guessing:

7 > H, 3r-8

Answer:

g(x) = f(2) at x = 4

Step-by-step explanation:

Assuming that you meant g(x) = 2x - 3:

Set f(2) = g(x) and solve the resulting equation for x:

f(2) = 3(2) - 1 = g(x) = 2x - 3.

Thus,   6 - 1 = 2x - 3.

Adding 3 to both sides and simplifying the result, we get:

8 = 2x, or x = 4.

g(x) = f(2) at x = 4.

Answer:

(- 1, 0)

Step-by-step explanation:

The x- intercept is where the function crosses the x- axis.

The y- coordinate of any point on the x- axis is zero, hence

The point (- 1, 0 ) is the x- intercept

Answer:(-1,0)

Step-by-step explanation:

Answer:

Allison = $0.27

Brianna = $1.89

Step-by-step explanation:

The total cookies that the three girls have are:

Allison's cookies + Brianna's Cookies

= 9+15

=24

There is a total of 24 cookies which has to be divided between the 3.

So

Each girl gets 24/3 = 8 cookies.

Since Celeste had no cookies she will have to pay for the 8 cookies.

Allison had 9, she will give one to Celeste

Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.

Celeste is paying 2.16 for 8 cookies.

Price of one cookie = 2.16/8

=$0.27

So, amount that will be given to Allison = 0.27 * 1 = $0.27

Amount that will be given to Brianna = 0.27 * 7 = $1.89

Each person gets 8 cookies. Allison and Brianna each receive $1.08 of Celeste's $2.16.

To find the fair way to divide Celeste's money, we first need to determine how many cookies each person gets when the total number of cookies is divided equally among them.

Total number of cookies = Allison's cookies + Brianna's cookies

Total number of cookies = 9 cookies + 15 cookies

Total number of cookies = 24 cookies

Now, we'll divide the total number of cookies by the number of people (3) to find out how many cookies each person gets:

Number of cookies per person = Total number of cookies / Number of people

Number of cookies per person = 24 cookies / 3

Number of cookies per person = 8 cookies

So each person will get 8 cookies.

Now, since Celeste forgot to bring treats, Allison and Brianna agreed to divide Celeste's money equally between them. To do this fairly, they'll each receive half of Celeste's money.

Celeste's money = $2.16

Now, we'll find out how much each person gets from Celeste's money:

Amount per person = Celeste's money / Number of people

Amount per person = $2.16 / 2

Amount per person = $1.08

So each person will receive $1.08 from Celeste's money.

In summary:

- Each person will get 8 cookies.

- Each person will receive $1.08 from Celeste's money.

The solution is the point where the two lines intersect, so it is (3,1)

Answer:

4- [tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

Step-by-step explanation:

In a standard polynomial degree drops from left to right

so , option 4 is correct.

[tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]

Answer:

the answer is: [tex]5y^6 \sqrt{2}[/tex]

Step-by-step explanation:

We need to solve the equation:

[tex]\sqrt{50y^{12}}[/tex]

We know 50 = 2*5*5

2*5*5 can be written as: 2* 5^2

and √ = 1/2

Solving:

[tex]=\sqrt{2*5*5*y^{12}}\\= \sqrt{2*5^2*y^{12}}\\=(2)^{1/2}*(5^2)^{1/2}*y^{12}^{1/2}\\=(2)^{1/2}*5*y^6\\=5y^6 \sqrt{2}[/tex]

So, the answer is: [tex]5y^6 \sqrt{2}[/tex]

well if 18 out of 25 like it, then the remaining 7 doesn't like it, namely 7 out of 25.

if we take 25 to be the 100%, what is 7 off of if in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 25&100\\ 7&x \end{array}\implies \cfrac{25}{7}=\cfrac{100}{x}\implies 25x=700\implies x=\cfrac{700}{25}\implies x=28[/tex]

The value of x is 114 degrees.

X is a vertical angle with the given angle of 114.

This means X is also 114 degrees.