A rabbit runs 35 feet in 7 seconds, a cat runs 18 feet in 2 seconds. Who is faster?

Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

~lenvy~

Answer:

See below ↓↓

Step-by-step explanation:

Given function

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

Solving for 't' using quadratic formula

Solutions

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

Answer:

x = 20

z = 87

Step-by-step explanation:

Suplementary angles:

9x - 87 + 87 = 180

9x = 180

x = 20

Vertical angles:

z = 87

Answer:

z=87    x=20

Step-by-step explanation:

z=87 because vertical angles are congruent

87x2=174

360-84 =186

186/2=93    (the other 2  vertical angles are 93 each)

9x-87 =93

9x=180

x=20

Answer:

θ ≈ 64.62°

Step-by-step explanation:

In this problem we will use trig: SOH CAH TOA. Since we are given hypotenuse (line AB) and adjacent (line ) to the missing angle θ, we will use cosine.

cosθ = adjacent/hypotenuse

cosθ = 3/7

Now take inverse cosine of both sides to cancel out cosine and find the missing angle:

cos⁻¹(cosθ) = cos⁻¹(3/7)

θ = cos⁻¹(3/7)         ---->      Plug into calculator

θ ≈ 1.128 radians · 180°/π rad   ------>.  Convert from radians to degrees

θ ≈ 64.62°

Hope this helps!

Answer: The measure of angle ? is approximately 64.62 degrees.

Step-by-step explanation:

The given value 3 is adjacent to angle ? and 7 is the hypotenuse. Remembering SOH CAH TOA, that means 3/7 = cos(?). To solve, use a calculator to find the inverse cosine of 3/7, which is about 64.62. Look at https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles/trig-solve-for-an-angle/a/inverse-trig-functions-intro to get a better understanding if needed.

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Answer:

4224 cm3

Step-by-step explanation:

V= w•h•l

4224 = 22•12•16

Answer:

>

Step-by-step explanation:

This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.

Answer:

3.2 > -99

Step-by-step explanation:

3.2 ? -99

3.2 (positive number)

-99 (negative number)

Positive numbers are always bigger than negative numbers

3.2 ? -99

3.2 > -99

Hope this helps!

Answer:

35,000

Step-by-step explanation:

Answer:

Corey will have $4550.00 in is account after 10 years.

Step-by-step explanation:

This is simple interest. Here is the formula for simple interest.

[tex]A=P(1+r*t)[/tex]

A = Final Amount

P = Principal Amount

R = Interest Rate

T = Time

We are given values for P, r, and t. Lets solve for A.

To get 3 percent as a decimal divide it by 100. We get 0.03.

[tex]P=3500[/tex]

[tex]r=0.03[/tex]

[tex]t=10[/tex]

[tex]A=3500(1+0.03*10)[/tex]

[tex]A=3500(1+0.30)[/tex]

[tex]A=3500(1.30)[/tex]

[tex]A=4550[/tex]

Answer:

2 lb and 4oz

Step-by-step explanation:

because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz

Answer:

The value of "a" is 1/2.

You can also check the answer by putting the value of a in the given equation...

if u need it let me know

Answer:

12.0

Step-by-step explanation:

        [tex]c^{2} = 8^{2} + 9^{2}[/tex]

            = 64 + 81

            = 145

     [tex]\sqrt{c^{2} } = \sqrt{145}[/tex]

Therefore,

          c = 12.0 (3 s.f.)

Answer:

169 + 121 = 225

Step-by-step explanation:

It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290

Answer:

145.8

Step-by-step explanation:

6c+4dc, where c=4.5 d=6.6

6(4.5) + 4(6.6) (4.5)

27 + 118.8

=145.8

The value of a is equal to 3 and the value of b  is equal to 4.

A Complex Number is represented by z=a+bi, where:

a= real part

bi= imaginary number

b= imaginary part

i= [tex]\sqrt{-1}[/tex], therefore i²= -1

For solving this question, you should solve the product (-11 + 5i) * (1 – i). After that, you should compare the previous results with the result for expression ( (a + bi)* (2 + 3i) )-i. From this comparison, using the linear system you will find the variables a and b.

        (-11 + 5i) * (1 – i)=

        -11 +11i +5i -5i²

        -11 +16i -5i², as i²= -1 you can rewrite

        -11 +16i -5(-1)

        -11 +16i +5

         -6+16i

Then,

(-11 + 5i) * (1 – i)=  -6+16i

      ( (a + bi)* (2 + 3i) )-i

      (2a+3ai +2bi +3bi²) -i, as i²= -1 you can rewrite

      (2a+3ai +2bi +3b(-1)) -i

      (2a+3ai +2bi -3b) -i

     ( (2a-3b) + i(3a +2b) ) -i ,

For adding complex numbers, you must add or subtract the corresponding real and imaginary parts. Thus, you will have:

       (2a-3b) + i(3a +2b-1)

Then,

( (a + bi)* (2 + 3i) )-i=  (2a-3b) + i(3a +2b-1)

         For  (-11 + 5i) * (1 – i)=  -6+16i

                   real part = -6

                    imaginary part = 16

          For   ( (a + bi)* (2 + 3i) )-i=  (2a-3b) + i(3a +2b-1)

                   real part = 2a-3b

                    imaginary part = 3a +2b-1

                       2a-3b= -6

                       3a +2b-1=16, you can rewrite as 3a +2b=17.

Thus the system will be:

                             [tex]\begin{bmatrix}2a-3b=-6\\ 3a+2b=17\end{bmatrix}[/tex]

      2a-3b=-6    (1)

      3a+2b=17  (2)

     Multiplying equation 1 by 2 and equation 2 by 3, you can rewrite as:

      4a-6b= -12

      9a+6b=51  

    Sum the equations

     4a-6b+9a+6b= -12 +51

     13a= 39

        a=39/13=3

     Replacing the value of a=3 in equation 1, you can find b.

      2a-3b=-6    (1)

     2*3-3b= -6

     6 -3b = -6

        -3b = -6 -6

        -3b= -12

            b= -12/-3 = 4

Read more about complex numbers here:

https://brainly.com/question/5564133

360 yd

Multiply all numbers to get 360 yd

Answer:

170 in²

Step-by-step explanation:

Surface Area

⇒ (2 x Length x Height) + (2 x Width x Height) + (2 x Length x Width)

⇒ (2 x 6 x 5) + (2 x 5 x 5) + (2 x 6 x 5)

⇒ 60 + 50 + 60

⇒ 170 in²

TSA:-

Answer:

[tex]\log(24)[/tex]

Step-by-step explanation:

[tex]\log(8)+\log(3)=\log(8*3)=\log(24)[/tex]

Answer: 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

first box (far left)  should be 1/6

second box should be 24

third box (far right on first equation) should be 10

p = 24

Answer:

the more you will pay in interest cost

Answer:

11 id.k i think

Step-by-step explanation:

i think that it

Answer:

[tex]15 \times {10}^{4} [/tex]

Step-by-step explanation:

[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = l×b×c

=> 5×3×2

=> 30 cm³

Answer:

Step-by-step explanation:

You have to use a distributive property.

Distributive property:

→ A(B+C)=AB+AC

⇒ (a+16)2

→ 2(a+16)

Multiply.

⇒ 2*a=2a

→ 2*16=32

Rewrite the problem down.

⇒ 2a+32

I hope this helps you! Let me know if my answer is wrong or not.

Hi!

Given:

[tex](a+16)2[/tex]

See the 2 out in front of the parentheses? Using the distributive property, we need to multiply that 2 by each of the terms inside of the parentheses. See the attached image below for more information.

So:

[tex]2*a+16*2[/tex]

[tex]2a+32[/tex]

Therefore, your answer is 2a + 32

Answer:

Several interpretations:

1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.

2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).

3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).

Step-by-step explanation:

The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).

Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.

Quick Edit:

My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/

Answer:

24

Step-by-step explanation:

Given

Total is 200

From the attachment, we have:

Required

Black- 35%

Blue-23%

How many more of black than blue were sold

First, calculate the difference in percentage sold

Multiply by the total phones sold;

Hence, 24 more blacks were sold than blue

Hope this helps

Brainliest appreciated :)

Answer:

The answer is 24

Step-by-step explanation:

The total amount of phone covers were 200.

35% of those were black.  So, 200 x 35% (or 200 x .35) = 70.  

70 of the phone covers sold were black.

23% of the covers were blue.  So, 200 x 23% (or 200 x .23) = 46

46 of the phone covers sold were blue.

How many more black covers sold than blue covers means we subtract.

70 black covers - 46 blue covers = 24 more black covers sold.

Answer:

A = 0.72l B = 1.8l C = 1.8l

Step-by-step explanation:

A:B:C = 4:10:10

It means that B and C are equal

It is told that C contains 1.8 liters

B have to contain 1.8 liters too

1.8l*4/10 = 0.72l

You can also write it like this (this version is easier for me):

1.8l:10 = 0.18l

4*0.18l = 0.72l

Hope that I helped :)