Which of these statements is true for f(x) = 3 x 2^x​

Answer:

Fiona is correct

Step-by-step explanation:

Substitute x = 5 and x = - 5 into the left side of the equation and if equal to the right side then it is a solution of the equation.

x = 5 : 5² + 3(5) - 10 = 25 + 15 - 10 = 30 ≠ 0 ← not a solution

x = - 5 : ( - 5)² + 3(- 5) - 10 = 25 - 15 - 10 = 0 ← correct

Then Fiona is correct with x = - 5 being the solution

Answer:

FV= $3,716.32

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Interest rate (i)= 1.2% compounded monthly

First, we need to determine the monthly nominal interest rate:

Monthly interest rate= 0.012/12= 0.001

Now, to calculate the future value after 't' months, we need to use the following formula:

FV= PV*(1 + i)^t

For example, for 60 months:

FV= 3,500*(1.001^60)

FV= $3,716.32

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

Answer:

<uvx and <rxv is your amswer

Answer:

When adding up the side lengths given, you get 35

Answer:

2 hours

Step-by-step explanation:

Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours

Answer:

Answer is in the step by step explanation

Step-by-step explanation:

Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles

Then AC is congruent to AC, that's reflexive prop

Now we have SAS, so Tri. ABC cong to tri. CDA,

Then you're done

Answer:

Step-by-step explanation:

BC = AD                           Given

<BCA = <CAD                  Alternate interior angles of parallel lines cut by a transversal.

AC = AC                           That's the reflexive property. A line is equal to itself

Triangle BCA = Triangle CAD    SAS

Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.

Complete question :

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.

Answer:

We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.

Step-by-step explanation:

H0 : μ = 35

H1 : μ < 35

Sample size, n = 20

Standard deviation, s = 4.3

xbar = 33.1

Test statistic :

T = (xbar - μ) ÷ (s /√n)

T = (33.1 - 35) ÷ (4.3 /√20)

T = - 1.9 ÷ 0.9615092

T = - 1.976

The Pvalue can be obtained from the test statistic using a Pvalue calculator :

Pvalue at 0.05 ; df = 19 is 0.0314

Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Answer:

3(2040x-4039)/4x

Step-by-step explanation:

Answer:

Adults=155, children = 196

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

We know that it will take 12 layers of 16 one-inch ice cubes to fill the cereal box.

The ice cubes are 1inch by 1inch.

So we take the height * length * width

                          12         2           8

=192            

[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]

Answer:

17 !!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

34 ÷ 2

Answer:

r=17 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d/ 2=34/ 2=17in

Hope this helped!!!

Answer:

We accept H₀  we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars

Step-by-step explanation:

Luxury cars sample:

sample size    n₁  =  49

sample mean   x₁ = 3178

sample standard deviation   s₁  = 41,80

Compact lower-price cars sample

sample size    n₂  = 38

sample mean   x₂  =  3200

sample standard deviation   s₂  =  50,60

Test Hypothesis:

Null Hypothesis                              H₀          x₁  -  x₂  = 0  or  x₁  = x₂

Alternative Hypothesis                 Hₐ           x₁  -  x₂  <  0   or   x₁ < x₂

CI = 99 %  then significance level is  α = 1 %   α = 0,01

Alternative Hypothesis indicates   that we have to develop a one tail-test to the left

z(c)   for α  0,01     is   z(c)  = -2,32

To calculate  z(s)

z(s)  =  [  (  x₁   -   x₂ 9 ] / √ (s₁²)/n₁  +  (s₂)²/n₂

z(s)  =  (  3178  -  3200 ) / √ 35,66 +  67,38

z(s)  =  ( -  22 / 10,15 )

z(s)  =  - 2,17

Comparing   z(s)  and z(c)

z(s) > z(c)         -  2,17  >  - 2,32

Then  z(s) is in the acceptance region we accep H₀

Answer:

4, 8, 12 2, 6, 10, 14

7/15 chance of getting even of multiple of 4

Answer:

Cov ( X, Y ) = 1/2

Step-by-step explanation:

X = Number of heads in the first 4 flips

Y = Number of heads in the last 4 flips

Given that X and Y are binomial variables hence

P( probability ) = 1/2

Find Cov( X; Y )

xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4

yj = result of the  jth flip ∴ Y = y3 + y4 + y5 + y6

covariance of  xi and yi = 1/2 * 1/2 = 1/4   when i = j  and it is = 0 when i ≠ j

hence Cov( X; Y ) can be expressed as

Cov( X; Y ) = ∑[tex]_{i}[/tex]^4 ∑[tex]_{j}[/tex]^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2  (  given that i = j )  

Answer:

74 cm squared

Step-by-step explanation:

because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74

Answer:

C. Triangular pyramid

Four base vertices and the upper peak vertice

Answer:

a resposta serta e a letra c)0,2,4,6,8

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

Answer:

The domain is the set of x-values:

The range is the set of y-values:

Answer:

# 1: 1/3 of the time.

# 2: 1/15

Step-by-step explanation:

#1: This is because since the dice is being tossed 1 time, that would mean that there is only a 2 in 6 chance to roll a number under 3.

#2: look at the picture attached.

Answer:

<D = 147 degrees

AB = 14

BC = 12

Step-by-step explanation:

From the given parallelogram;

<A and <D are supplementary, hence;

<A + <D = 180

33 + <D = 180

<D = 180 - 33

<D = 147 degrees

Since AB = CD

Hence AB = 14

Also since BC = AD, BC = 12

This shows that the opposite side of the parallelogram are parallel