Paulina’s father pays her $20 per month for doing chores. In April, she makes a deal with him. Rather than paying her $20, he can pay her 1¢ on the first day of the month, 2¢ on the second, 4¢ on the third, and continue each day by doubling the amount he paid on the previous day. Use the properties of exponents to write expressions for the first 5 days of the month. The, explain if Paulina will make more or less than $20 per month using this pattern.

Answer:

Step-by-step explanation:feel pleasure to help u.

Answer:

the answer is 37 i believe

37

Step-by-step explanation:

First start with parenthesis 3 + 2=5. Next the brackets

8 - 5=3. Next 15 ÷ 3 = 5. Then Finally, 8 × 4 = 32, and add 5, which 37

Answer:

y=1

Step-by-step explanation:

if x=15

y=4

now what is y when the value of x is 60.

15x4/60

15x4=60

60/60=1

y=1

The solution is : the value of y is: y=1

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

given that,

y varies inversely with x. If x = 15 and y = 4 ,

now, we have to find y when x = 60

so, we have,

if x=15

y=4

now what is y when the value of x is 60.

15x4/60

15x4=60

60/60=1

y=1

Hence, The solution is : the value of y is: y=1

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Answer:

Step-by-step explanation:

300,000-100

300,00 + -100

=299900

Answer:

299900

Step-by-step explanation:

Answer:

This can be solved by subtracting 584 from 2,054.

2,054-584

=1470

Step-by-step explanation:

Gemma would have $1470 left in her checking account. hope this helps you :)

Answer:

z ≈ 9.22

Step-by-step explanation:

Given the equations

2x-4y+4z-6w=4 ................ 1

6w-4x+4y-4z=-12 ...............2

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

We will first need to reduce the equation by cancelling out some variables.

Add equations 1 and 2 will give;

(2x-4x)+(-4y+4y)+(4z-4z)+ (-6w+6w) = 4+12

-2x +0 = 16

-2x = 16

x = -8

Also, equation 2 minus 3

6w-6w+(-4x-4x)+4y+2y+(-4z-6z) = 12-64

-8x+6y-10z = -52

-8(-8)+6y-10z = -52

64+6y-10z = -52

6y-10z  = -52-64

6y-10z = -116

3y-5z = -58 ... 5

Equation 3 * 1 and eqn 4 * 3

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

6w+4x-2y+6z=64

12z+6w+18y-12x= 168

Subtracting both equations;

16x-20y-6z = -104

8x-10y-3z = -52

8(-8)-10y-3z = -52

-64-10y-3z = -52

-10y-3z = -52+64

-10y-3z = 12 ....... 6

equating 5 and 6 and solving simultaneously;

3y-5z = -58 ... 5 * 10

-10y-3z = 12 ....... 6 * 3

30y-50z = -580

-30y-9z = 36

Add both equations

-50z-9z = -580+36

-59z = -544

z = -544/-59

z = 9.22

Hence z ≈ 9.22

Answer:

13 packages

Step-by-step explanation:

We need to find the highest common factor, in order to solve this problem.

So, we have to find the highest common factor of 39 and 13.

We find the highest common factor of 39 and 13 because it says in the problem” Tim has 39 pairs of headphones and 13 music players.”

And than you just find the highest common factor, after you find the highest common factor... YOU ARE DONE SOLVING THE PROBLEM!

The highest common factor will be 13

13: 1,13

39:1,3,13,39

ANSWER:13

Hope this helps!

Answer:

13

Step-by-step explanation:

Greatest number of packages Tim can make =

H. C. F of 39 and 13

Factors of 39 = 13 * 3 * 1

Factors of 13 = 13 * 1

H.C.F = 13

Therefore, Greatest number of identical packages Tim can make is 13.

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{29}{61}}[/tex]

Express the given scenario as a fraction:

[tex]\frac{58}{122}[/tex]

Simplify the fraction by taking out the GCF, or 2:

[tex]\frac{2(29)}{2(61)}[/tex]

Cancel out the 2's:

[tex]\frac{29}{61}[/tex]

Answer: 58/122 I think and if simplified I think it would be 29/61

Step-by-step explanation:

122 containers of juice would be the denominator

and 58 is orange juice would be the numerator

then you can leave it or simplify!

Answer:

13:20

Step-by-step explanation:

Start time:

Trip duration:

End time= ?

Simply adding up the time the family left and time in trip:

Sum of minutes:

Sum of hours:

So time arrival is:

Time they left is 09:30 and it will take 2 hr and a half before noon.

Splitting 3 hr and 50 min into two parts, one part being 2 hr and 30 min and the other is:

Adding 2 hr 30 min and then adding 1 hr 20 min to initial time of 09:30:

Then:

Answer:

7.41

Step-by-step explanation:

1.3 x 5.7

just use a calculator

Answer:2100

Step-by-step explanation:

the value of (-3)4+(-2)4×(-1)4 is -24

Answer:

98

Step-by-step explanation:

-3⁴ = -3*-3*-3*-3 = +81 = 81

-2⁴ = -2*-2*-2*-2 = +16 = 16

-1⁴ = -1*-1*-1*-1 = +1 = 1

Then:

(-3)⁴ + (-2)⁴ + (-1)⁴ = 81 + 16 + 1

= 98

(A)

Evaluate [tex]p[/tex] and [tex]q[/tex] at the given values of [tex]t[/tex], then plug them into the inner product:

[tex]p(t)=3t-t^2\implies\begin{cases}p(-1)=-4\\p(0)=0\\p(1)=2\end{cases}[/tex]

[tex]q(t)=3+2t^2\implies\begin{cases}q(-1)=5\\q(0)=3\\q(1)=5\end{cases}[/tex]

Now,

[tex]\langle p,q\rangle=4\cdot5+0\cdot3+2\cdot5=30[/tex]

[tex]\|p\|=\sqrt{\langle p,p\rangle}=(-4)^2+0^2+2^2=20[/tex]

[tex]\|q\|=\sqrt{\langle q,q\rangle}=5^2+3^2+5^2=59[/tex]

(B)

Let [tex]V[/tex] denote the subspace spanned by [tex]p[/tex]. We need an orthonormal basis for [tex]V[/tex]. Since

[tex]p(t)=3t-t^2=3\cdot t+(-1)\cdot t^2[/tex]

we have the basis vectors [tex]\{t,t^2\}[/tex]; normalize these vectors to get the orthonormal basis,

[tex]\left\{\dfrac t{|t|},\dfrac{t^2}{|t^2|}\right\}=\left\{\dfrac t{|t|},1\right\}[/tex]

Then the projection of [tex]q[/tex] onto [tex]V[/tex] is

[tex]\mathrm{proj}_Vq(t)=\left(q(t)\cdot\dfrac t{|t|}\right)\dfrac t{|t|}+\left(q(t)\cdot1\right)1[/tex]

[tex]\mahtrm{proj}_Vq(t)=\dfrac{3t^2+2t^4}{t^2}+(3+2t^2)=\boxed{6+4t^2}[/tex]

A).

[tex]< p, q >=-10\\||p||=9\sqrt{2} \\||q||=3\sqrt{2}[/tex]

B).The orthogonal projection of q onto the subspace spanned by p is[tex]proj_vq(t)=6+4t^2[/tex]

We have [tex]p(t) = 3t - t^2 ,q(t) = 3 + 2t^2[/tex]

And < p, q >= p(−1)q(−1) + p(0)q(0) + p(1)q(1).

Now,

A).

[tex]p(-1) = 3.(-1) - (-1)^2 \\=-4\\p(1)=3.1-1^2\\=2q(-1) = 3 + 2.(-1)^2\\=5\\q(1) = 3 + 2.(1)^2\\=5p(0) = 3.0 - 0^2 \\=0\\q(0) = 3 + 2.0^2\\=3\\< p, q >= p(-1)q(-1) + p(0)q(0) + p(1)q(1)\\< p, q >=-4.5+0.3+2.5\\=-10\\||p||=<p,p>\\=\sqrt{(-4)^2+0+2^2} \\=\sqrt{20} \\=2\sqrt{5} \\||q||=<q,q>\\=\sqrt{5^2+3^2+5^2} \\=\sqrt{59}[/tex]

B)Let V be the subspace spanned by p.

Now, an orthonormal basis for p is[tex](t,t^2)[/tex]

 Then the projection of q onto the subspace spanned by p is

[tex]proj_vq(t)=(q(t).\frac{t}{|t|} ).\frac{t}{|t|} +(q(t).1)1\\proj_vq(t)=\frac{3t^2+2t^4}{t^2} +(3+2t^2)\\proj_vq(t)=6+4t^2[/tex]

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Answer: 1/6

Approximately the same.

Step-by-step explanation:

Answer:

The first answer was:1/6

The second answer was: approximately the same.

Step-by-step explanation:

Just did it on edge2020

Answer:

The expected value of X, E(X), for the given probability distribution is 1.2

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E(x).

Hope is the sum of the product of the probability of each event and the value of that event. That is, it is the sum of the probability of each possible event multiplied by the frequency of said process, this indicates that if you have a discrete quantitative variable X with "n" possible events x₁, x₂, x₃... xₙ and probabilities P (X = xi) = Pi the mathematical expectation is:

E(x)=x₁*P₁ + x₂*P₂ + x₃*P₃ + ... + xₙ*Pₙ

In this case:

E(x)=x₁*P₁ + x₂*P₂ + x₃*P₃ + x₄*P₄

Being:

and replacing:

E(x)= 0* 0.5 + 1* 0.1 + 2*0.1 + 3*0.3

you get:

E(x)= 1.2

The expected value of X, E(X), for the given probability distribution is 1.2

Answer:

Rate or speed=3 Miles per hour

Step-by-step explanation:

Brad walked 2.5 miles in 5/6 of an hour.

Distance covered by Brad = 2.5 miles

Distance covered by Brad= 2 1/2 miles

Distance covered by Brad= 5/2 miles

Time taken to cover the distance = 5/6 of an hour

His rate of walking or how fast he walks is determined by the formula

Rate or speed= distance/time

Rate or speed=( 5/2)/(5/6)

Rate or speed= (5/2)*(6/5)

Rate or speed=6/2

Rate or speed=3 Miles per hour

Answer:

Coordinates of the starting point ( -50 ; 0 )

Coordinates 4 seconds later Q ( - 25*√3  ;  25 )

Coordinates 32 seconds later R ( 25  ;  - 25*√3 )

Step-by-step explanation:

a) If Jeremy takes 48 seconds fr a lap then

The length of the lap ( length of the circle ) is:

L =  2*π*r    ⇒   L = 100*π

If the time for one lap was 48 seconds at a constant speed, the speed was

v = 100*π / 48   [m/s]

v = 6,54 m/s

12 seconds  is  1/4 0f 48  in that time he (she) reach the northernmost point, then he(she) necessarily started on the negative side of the       x-axis the coordinates at this point are

( -50 ; 0 )

b) 4 seconds later, at v = 6,54 m/s by rule of three

In 12 seconds                         90⁰

In  4  seconds  (the third part )       x ??

x = 30⁰

sin 30⁰  = 1/2

cos 30⁰ = (√3)/2

And coordinates for the point are

sin 30⁰ =  1/2  = y/50     ⇒  y =  25

cos 30⁰ = (√3)/2  = x / 50   ⇒ x = 25*√3

coordinates of the point 4 seconds later

Q ( - 25*√3  ;  25 )    she (he) is in the negative part of x-axis

c) 32 seconds later

32  is    12   +   12    +    8

Then she (he) is 8 seconds below the positive side of x-axis

8 is 2/3 of 12   ( negative 60⁰ )

sin 60⁰ = (√3)/2   = y/50       y  =  25*√3    negative

cos  60⁰ = 1/2 * 50   =  X/50  x  = 25

Coordinates of the point R

R ( 25  ;  - 25*√3 )

Answer:

210cm³

Step-by-step explanation:

v=1/2bhl

v-1/2(7)(6)(10)

v=210

Answer:

23

Step-by-step explanation:

Answer:

Hey there!

He can guess in 4x4x4x4x4x4 or 4096 ways.

Let me know if this helps :)

Complete Question

The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours

A. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment.

B. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400

a. No.

b. Yes.

c. Maybe.

d. Do not know

Answer:

A

   [tex]325.5 < \mu < 374.5[/tex]

B

  correct option is  a

Step-by-step explanation:

From the question we are told that

   The  standard deviation is  [tex]\sigma = 100[/tex]

    The  sample mean is  [tex]\= x = 350 \ hours[/tex]

      The sample  size is  [tex]n = 64[/tex]

Given that the confidence level is  95%  then the level of significance is mathematically represented as

            [tex]\alpha = (100- 95)\%[/tex]

            [tex]\alpha = 0.05[/tex]

The critical value  of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  is  

     [tex]Z_{\frac{\alpha }{2 } } = 1.96[/tex]

Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 1.96 * \frac{100 }{\sqrt{64} }[/tex]

=>    [tex]E = 24 .5[/tex]

Generally the 95% confidence interval is mathematically represented as

     [tex]\= x - E < \mu < \= x + E[/tex]

     [tex]350 - 24.5 < \mu < 350 + 24.5[/tex]

     [tex]325.5 < \mu < 374.5[/tex]

This 95% confidence interval  can be interpreted as follows

   There is 95 confidence that the true population mean lies in this interval

 Now  looking at the interval we see that it dose not contain 400 hence

the correct answer is  No the   manufacturer do not  have  the right to state that the light bulbs last on average 400 hours

Answer:

20 cm

Step-by-step explanation:

8/2 = 4

6/2 = 3

3 and 4 are the sides of the triangle (four triangles in rhombus)

[tex]a^{2} + b^{2} = c^{2} \\4^{2} + 3^{2} = c^{2}[/tex]

c = 5

5 x 4 = 20

Hope that helped!!! k

Answer:

21 units²

Step-by-step explanation:

A=1/2bh

b=6

h=7

1/2(6)(7)=

1/2(42)=

21 units²

Answer: D) how close a measured value is to the actual value.

Step-by-step explanation: Accuracy is simply a measurement metric which is used to establish how a measured or predicted value conforms to the actual measurement usually in terms of closeness. Accuracy is different from precision which measures closeness in values obtained from repeated measurement of the same sample. For instance;

If the actual vale of a measurement is : 11.34

Prediction 1 : 11.30

Prediction 2 : 11.32 ;

Prediction 2 will be said to be more accurate than prediction 1 becuase it is closer to the actual value than prediction 1.

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

ΔJKL ≅ ΔPQR

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

Answer:

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

[tex]A(n) = a ({r})^{n - 1} [/tex]

where

n is the number of terms

a is the first term

r is the common ratio

To find n we must first find the common ratio

To find the common ratio divide the previous term by the next term

That's

r = 3/1 = 3 or r = 9/3 = 3

a = 1

Substitute the values into the above formula

That's

If n is an integer then

[tex]A(n) = 1 ({3})^{n - 1} [/tex]

[tex]A(n) = {3}^{n - 1} [/tex]

where n is greater than or equal to 2

Hope this helps you

The function that describes the sequence is the first one:

a(n) = 3ⁿ   fpr n ≥ 0.

Here we have the following sequence:

1, 3, 9, 27, ...

We can see that all of these are powers of 3, and the function must behave like:

f(0) = 1

f(1) = 3

f(2) = 9

...

And so on, then the function must be:

a(n) = 3ⁿ

when n = 0 we have:

a(0) = 3⁰ = 1

When n = 1

a(1) = 3¹ = 3

And so on.

Then we can see that the correct option is the first one.

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Answer:

Percentage profit= 33.33%

Step-by-step explanation:

Angela made $90000 income in 2004 then in 2005 she made income of $120000.

The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.

Profit= 120000-90000

Profit= 30000

Percentage profit=( 30000/90000)*100

Percentage profit= 1/3 *100

Percentage profit= 33.33%

Answer:

The answer is 33.33%

Answer:

-1 (4 + (-4))

Step-by-step explanation:

Any number multiplied by 0 is equal to 0

in the first option given we should calculate inside the

parenthesis first then multiply which I will give result equal to 0

Answer:

-1[4 + (-4)]

Step-by-step explanation:

So first we need to evaluate the original expression, -1(0) = 0 since this is equivalent to saying negative one times zero is zero.

Now let's look at the options.

-1[4 + (-4)] evaluates using order of operations and the distributive property to -1[0] = 0. Notice this is the same as our original expression.

-1[4 + (4)] evaluates to -1[8] = -8. Note, this is different from the original expression.

1 + [4 + (-4)] evaluates to 1 + [0] = 1. Note this is different from the original expression.

-1[-4 + (-4)] evaluate to -1[-8] = 8. Note this is different from the original expression.

So we want to choose the first option which matches the original expression.

Cheers.

Answer:

Displacement= 12.65 km S 18.44°W

Step-by-step explanation:

Justin rides on hist 12 km south.

He changes location and goes 4 km west.

The displacement from his current location = X

X²= 12²+4²

X²= 144+16

X²= 160

X= √160

X= 4√10

X= 12.649 km

X= 12.65 km

His total distance covered=12+4

His total distance covered= 16 km

Tan ^-1 12/4= angle

71.56° = angle

90-71.56= 18.44°

Displacement= 12.65 km S 18.44°W

Answer:

Luke saw 5 worms

Step-by-step explanation:

Evan and Luke saw 8 worms on the path.

Evan saw 3 worms while Luke saw 2 Worms more than Evan.

So luke is +2 of Evan

Luke= 3+2

Luke = 5

Luke saw a total of 5 worms while Evan saw a total of 3 worms adding up to a total of 8 worms