1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
son4ous [18]
3 years ago
10

Patrick works a 40-hour week at $10.70 an hour with time and a half for overtime. Last week he worked 45 hours. What were his to

tal earnings for the week? 
       A. $444.05   B. $508.25   C. $510.00   D. $481.15
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0
D. $
481.15 there you go
You might be interested in
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
3 years ago
a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how m
nevsk [136]
Lets calculate gear ration T2/T1
so the gear ratio will be 1.6 it simply means dat if u rotate large gears one full revolution it tends to turn another short wheel to 1.6 revs, so in ur qtion the large whell revs 100 den u must multiply wid 1.6*100= 160 revs

5 0
3 years ago
miracle did 1/6 of her homework in class. She did 1/6 on the bus. She did 3/6 at home. How much of her homework does she have le
sergij07 [2.7K]
It is not reasonable that she has 1/2 of her homework to do. She did 3/6 (1/2) at home. She actually has 1/6 of her homework left to do.
8 0
3 years ago
QUICKK!! GIVING BRAINLIEST TO CORRECT ANSWER
Liono4ka [1.6K]

Step-by-step explanation:

Insufficient information!

however, volume will remain same in both of these figures!

7 0
3 years ago
The polynomial P(x) = 2x^3 + mx^2-5 leaves the same remainder when divided by (x-1) or (2x + 3). Find the value of m and the rem
Zigmanuir [339]

Answer:

m=7

Remainder =4

If q=1 then r=3 or r=-1.

If q=2 then r=3.

They are probably looking for q=1 and r=3 because the other combinations were used earlier in the problem.

Step-by-step explanation:

Let's assume the remainders left when doing P divided by (x-1) and P divided by (2x+3) is R.

By remainder theorem we have that:

P(1)=R

P(-3/2)=R

P(1)=2(1)^3+m(1)^2-5

=2+m-5=m-3

P(\frac{-3}{2})=2(\frac{-3}{2})^3+m(\frac{-3}{2})^2-5

=2(\frac{-27}{8})+m(\frac{9}{4})-5

=-\frac{27}{4}+\frac{9m}{4}-5

=\frac{-27+9m-20}{4}

=\frac{9m-47}{4}

Both of these are equal to R.

m-3=R

\frac{9m-47}{4}=R

I'm going to substitute second R which is (9m-47)/4 in place of first R.

m-3=\frac{9m-47}{4}

Multiply both sides by 4:

4(m-3)=9m-47

Distribute:

4m-12=9m-47

Subtract 4m on both sides:

-12=5m-47

Add 47 on both sides:

-12+47=5m

Simplify left hand side:

35=5m

Divide both sides by 5:

\frac{35}{5}=m

7=m

So the value for m is 7.

P(x)=2x^3+7x^2-5

What is the remainder when dividing P by (x-1) or (2x+3)?

Well recall that we said m-3=R which means r=m-3=7-3=4.

So the remainder is 4 when dividing P by (x-1) or (2x+3).

Now P divided by (qx+r) will also give the same remainder R=4.

So by remainder theorem we have that P(-r/q)=4.

Let's plug this in:

P(\frac{-r}{q})=2(\frac{-r}{q})^3+m(\frac{-r}{q})^2-5

Let x=-r/q

This is equal to 4 so we have this equation:

2u^3+7u^2-5=4

Subtract 4 on both sides:

2u^3+7u^2-9=0

I see one obvious solution of 1.

I seen this because I see 2+7-9 is 0.

u=1 would do that.

Let's see if we can find any other real solutions.

Dividing:

1     |   2    7     0     -9

     |         2      9      9

       -----------------------

          2    9     9      0

This gives us the quadratic equation to solve:

2x^2+9x+9=0

Compare this to ax^2+bx+c=0

a=2

b=9

c=9

Since the coefficient of x^2 is not 1, we have to find two numbers that multiply to be ac and add up to be b.

Those numbers are 6 and 3 because 6(3)=18=ac while 6+3=9=b.

So we are going to replace bx or 9x with 6x+3x then factor by grouping:

2x^2+6x+3x+9=0

(2x^2+6x)+(3x+9)=0

2x(x+3)+3(x+3)=0

(x+3)(2x+3)=0

This means x+3=0 or 2x+3=0.

We need to solve both of these:

x+3=0

Subtract 3 on both sides:

x=-3

----

2x+3=0

Subtract 3 on both sides:

2x=-3

Divide both sides by 2:

x=-3/2

So the solutions to P(x)=4:

x \in \{-3,\frac{-3}{2},1\}

If x=-3 is a solution then (x+3) is a factor that you can divide P by to get remainder 4.

If x=-3/2 is a solution then (2x+3) is a factor that you can divide P by to get remainder 4.

If x=1 is a solution then (x-1) is a factor that you can divide P by to get remainder 4.

Compare (qx+r) to (x+3); we see one possibility for (q,r)=(1,3).

Compare (qx+r) to (2x+3); we see another possibility is (q,r)=(2,3).

Compare (qx+r) to (x-1); we see another possibility is (q,r)=(1,-1).

6 0
3 years ago
Other questions:
  • Kendra has a math test every 12 school days and a vocabulary test every 9 school days. She had both a math test and a vocabulary
    15·2 answers
  • 1. a triangle has the base of 5/3x and the height of x<br> how do i work this equation
    8·1 answer
  • In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
    8·1 answer
  • Find the first 4 terms of the geometric sequence a1=40 and r=0.5
    8·2 answers
  • PLEASE HELP What is coefficient in the expression:
    6·1 answer
  • Which fraction, in lowest terms, is equivalent to the decimal 0.5?
    14·2 answers
  • A chocolate shop sells chocolates with a variety of different fillings.
    12·1 answer
  • Is f(x) = 10x2 + 10, x &gt; 0 the inverse of g(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%20%5Cfrac%7Bx-10%7D%7B10%7D" id="T
    15·1 answer
  • Can someone help me pls I need help realllll bad right now someone pls
    10·1 answer
  • The ratio of students to adults on a field trip is 7 to 1. Which table correctly represents this ratio?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!