The height (in feet) of a rocket from ground level is given by the function f(t) = -16t2 + 220t. What is the instantaneous velocity of the rocket 12 seconds after its launch?

Answer:

Option B (4,5)

Step-by-step explanation:

The integers (4, 5) do not have real zero.

Knowing what zeros represent can assist us in determining when and how to locate the zeros of functions given their expressions and a function's graph. The value of x when the function itself reaches zero is typically referred to as a function's zero.

A function's zero can take many different forms, but as long as they have a y-value of zero, we will consider them to be the function's zero.

Given Expression

f(x) = x³ + 9x² + 8x - 5

to find which is not a real zero,

condition of real zero is for any function f(a , b) if f(a).f(b) < 0 the function have at least a zero.

1: (-8, -7)

f(-8).f(-7) = [(-8)³ + 9(-8)² + 8(-8) - 5][(-7³)  + 9(-7)² + 8(-7) - 5]

f(-8).f(-7) = (-5)(37)

f(-8).f(-7) = -185 < 0 points  have at least a zero

2:  (4, 5)

f(4).f(5) = [(4)³ + 9(4)² + 8(4) - 5][(5³)  + 9(5)² + 8(5) - 5]

f(4).f(5) = 235 x 385

f(4).f(5) = 94,475 > 0

points do not have any zeros

3: (0, 1)

f(0).f(1) = [(0)³ + 9(0)² + 8(0) - 5][(1³)  + 9(1)² + 8(1) - 5]

f(0).f(1) = -5 x 13

f(0).f(1) = -65 < 0

points  have a zero

4: (–2, –1)

f(-2).f(-1) = [(-2)³ + 9(-2)² + 8(-2) - 5][(-1³)  + 9(-1)² + 8(-1) - 5]

f(-2).f(-1) = 7 x (-5)

f(-2).f(-1) = -35 < 0

points  have a zero

Hence only point  (4, 5) do not have a zero.

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Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line

This linear equation has a slope equal to -4 since it's

the coefficient of the number in front of your variable.

This equation has a y-intercept that is equal to 6 since it's

in the place of the b in the equation y = mx + b.

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives  

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5  

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10

Answer:

Step-by-step explanation:

Answer:

D. 625

Step-by-step explanation:

If the side length for each block is 2 1/2 then two blocks together make 5 so 4 blocks going up makes the height 10 and two blocks for the width make 5 and the 5 blocks on the bottom going across for length make 12 1/2 and 5*10*12 1/2= 625

Answer:

  $3217.50

Step-by-step explanation:

The tax is computed as ...

  ($132,000)(1/2)(48.75/1000) = 66·48.75 = 3217.50

The real estate tax on the Perry's house is $3217.50.

Answer:

168

Step-by-step explanation:

SA= 2B + hp

h=9

p=16

B= 1/2 bh

B= 1/2 6(4)

B=12 x 2 = 24

9 x 16= 144

144+24= 168

BRAINLIEST really needed!!

Answer:

  D. Neither Gordon nor Tess

Step-by-step explanation:

The vertices ABC are in clockwise order. The corresponding vertices FGE are also in clockwise order. On this basis, you can say that there cannot be a single reflection (as across x=1), because that would reverse the order to counterclockwise. Gordon cannot be correct.

The left-right orientation of vertices A and C is reversed to a right-left orientation for corresponding vertices F and E. This means two reflections or a rotation is involved. Translation cannot reverse the orientation like this, so Tess cannot be correct.

ΔFGE and ΔABC are a reflection of each other across the origin, equivalent to the two reflections "across the x-axis" and "across the y-axis." This is also equivalent to a rotation of 180° about the origin.

Neither Gordon nor Tess is correct.

not gordon or tess

Step-by-step explanation:

Answer:

3x + 2y = -2

Step-by-step explanation:

Given Equation is − 2 x  +  3 y  =  12

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

Slope of this line is  m  =  2/ 3

Slope of Line A m a  =  2

Slope of Line B  m b  =  2/ 3

Slope of Line C  m c  =  − ( 2 /3 )

Slope of Line D  m d  =  −  ( 3 /2 )

since  m d  =  − 1 /m  ,  D  is perpendicular to the given line

Answer:12 months

Step-by-step explanation:

400+400=800 so  950-800=150 1800/150=12

Answer:

A. 6.9

Step-by-step explanation:

Edge 2020

The standard deviation for the set of population data given in the question is 6.9

Mean = summation of data / number

μ = 130 / 5

μ = 26

σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]

σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]

σ = √[236 / 5}

σ = 6.9

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Answer:

  31 ft

Step-by-step explanation:

The statue represents the side of a right triangle that is opposite the angle of elevation. The distance to the statue represents the side adjacent to the angle. Then ...

  Tan = Opposite/Adjacent

  tan(61°) = h/(17 ft)

Multiplying by 17 ft, we have ...

  h = (17 ft)tan(61°) ≈ 30.67 ft

  h ≈ 31 feet

Answer:

6

Step-by-step explanation:

bruh is it that hard

at least means including 1/2

how many ticks does 1/2 and higher have?

6

Answer:

The answer is A

Step-by-step explanation:

just did it on edge

Answer:6908 (miles) ^2

Step-by-step explanation:

diameter=2200 miles

π=3.14

Circumference=π x diameter

Circumference=3.14 x 2200

Circumference=6908 (miles)^2

Answer:

The circumference is 6908 miles.

Step-by-step explanation:

so your answer is B.

Answer:

The answer is 0.31

Step-by-step explanation:

Old Method                                       New Method                          .

Mean                      73.5625                  Mean            75.70588

Standard Error        3.143736             Standard Error  2.923994

Median                    72                          Median            75

Mode                       90                          Mode               64

Standard deviation  12.57494           Standard deviation 12.05594

Sample Variance     158.1292            Sample Variance     145.3456

Kurtosis                     -1.14544              Kurtosis                   -0.76646

Skewness                 0.171025             Skewness                0.091008

Range                       39                        Range                      41

Minimum                   55                        Minimum                 56

Maximum                  94                        Maximum                 97

Sum                          1177                        Sum                        1287

Count                         16                         Count                      17

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: μNew< μOld

Alternative hypothesis: μNew > μOld

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the mean difference between sample means is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

[tex]SE=\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } \\\\SE=4.29[/tex]

DF = 31

[tex]t = \frac{(x_1-x_2)-d}{SE} \\\\t = - 0.4997[/tex]

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.

The observed difference in sample means produced a t statistic of - 0.499. We use the t Distribution Calculator to find P(t < - 0.499) = 0.311

Therefore, the P-value in this analysis is 0.311.

Interpret results. Since the P-value (0.311) is greater than the significance level (0.05), we cannot reject the null hypothesis.

From the above test we do have sufficient evidence in the favor of the claim that new method is efficient than the old method.

Answer:

Step-by-step explanation:

To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.

Then you have ...

  3(p/3) = 3(12)

  p = 36 . . . . . simplify

To check this work, you can substitute 36 for p:

  36/3 = 12 . . . . . true statement

So, the solution process is ...

  multiply both sides of the equation by 3

  substitute 36 for p to check the work

Answer:

Step-by-step explanation:

I took the assignment and it's correct :)

Good luck ;)

Answer:

(a) Probability that 2 or fewer will withdraw is 0.2061.

(b) Probability that exactly 4 will withdraw is 0.2182.

(c) Probability that more than 3 will withdraw is 0.5886.

(d) The expected number of withdrawals is 4.

Step-by-step explanation:

We are given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Assume that 20 students registered for the course.

The above situation can be represented through binomial distribution;

[tex]P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 20 students

            r = number of success  

            p = probability of success which in our question is probability  

                  that students withdraw without completing the introductory  

                  statistics course, i.e; p = 20%

Let X = Number of students withdraw without completing the introductory statistics course

So, X ~ Binom(n = 20 , p = 0.20)

(a) Probability that 2 or fewer will withdraw is given by = P(X [tex]\leq[/tex] 2)

P(X [tex]\leq[/tex] 2) =  P(X = 0) + P(X = 1) + P(X = 2)

=  [tex]\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}[/tex]

=  [tex]1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}[/tex]

=  0.2061

(b) Probability that exactly 4 will withdraw is given by = P(X = 4)

                      P(X = 4) =  [tex]\binom{20}{4} \times 0.20^{4} \times (1-0.20)^{20-4}[/tex]

                                 =  [tex]4845\times 0.20^{4} \times 0.80^{16}[/tex]

                                 =  0.2182

(c) Probability that more than 3 will withdraw is given by = P(X > 3)

P(X > 3) =  1 - P(X [tex]\leq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

=  [tex]1-(\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}+\binom{20}{3} \times 0.20^{3} \times (1-0.20)^{20-3})[/tex]

=  [tex]1-(1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}+1140\times 0.20^{3} \times 0.80^{17})[/tex]

=  1 - 0.4114 = 0.5886

(d) The expected number of withdrawals is given by;

                        E(X)  =  [tex]n\times p[/tex]

                                 =  [tex]20 \times 0.20[/tex] = 4 withdrawals

Answer:

  all real numbers

Step-by-step explanation:

Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. All polynomials are defined for all real numbers. The domain is the set of input values (x) for which the function is defined.

The domain of (b•a)(x) is all real numbers.

Answer:

5 sessions each

Step-by-step explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

And at Fit Factor she would spend:

Since total costs are same, the amounts will be equal:

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.

Answer: 0.00494.

Step-by-step explanation:

Given : The proportion of the company's orders come from first-time customers. [tex]p=0.45[/tex]

Sample size : n= 166

Now , the probability that the sample proportion is between 0.24 and 0.35 would be :-

[tex]P(0.24<p<0.35)=P\left({\dfrac{0.24-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{166}}}<\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.35-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{166}}}}\right)\\\ \ \left[\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\right][/tex]

[tex]=P(-5.44<z<-2.58)=P(z<-2.58)-P(z<-5.44)\\\\=1-P(z<2.58)-(1-P(z<5.44))\\\\=P(z<5.44)-P(z<2.58)\\\\=1-0.99506\ [\text{By z-value table}]\\\\=0.00494[/tex]

Hence, the probability that the sample proportion is between 0.24 and 0.35 is 0.00494.

Answer:

1 83/200

Step-by-step explanation:

You need to make the 2/3 a decimal which is 0.66 repeating. Then you do 5.66 divided by 4 which equals 1.415 then you need to simplify.

Hope this helps.

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 66, \sigma = 10[/tex]

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78.21 - 66}{10}[/tex]

[tex]Z = 1.22[/tex]

[tex]Z = 1.22[/tex] has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

Answer:

x = 12

∠A = 144

Step-by-step explanation:

+ We have: ∠A = ∠C (alternate interior)

                ∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

        4x      = 48

          x      = 12

+ ∠A = 10x + 24

 ∠A = 10 x 12 + 24

∠A = 144

Answer:

mean: 46.63636

median: 34

mode: 87

range:95

How To:

Step 1 : To find Mean

    Average = ( 1 + 5 + 5 + 7 + 8 + 10 ) / 6

             =36 / 6

    Mean = 6

Step 2 : To find Median

   Middle value = ( 5 + 7 ) / 2

               = 12 / 2

    Median = 6

Step 3 : To find Mode

   Mode = 5 (The number with more repetition, here 5 is repeated two times)

Step 4 : To find Range

    Range = Largest number - Smallest number

       = 10-1

       = 9

Range = 9

Answer:

Mean: 46.6

Mode: 87

Median: 34

Range: 95

Step-by-step explanation:

Mean: (finding the average)

Median: (the middle number of the data set)

Mode: (the most number repeated from the data set)

Range: (is the difference between the highest value and the lowest value)

first arrange the following data set.

23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26

so:

5, 14, 19, 23, 26, 34, 37, 81, 87, 87, 100

Lets us first find the mean by adding up all the numbers and dividing it by the amount of numbers in the data set.

Mean: 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513/11 = 46.6

Mode: 87

Median: 34

Range: 100 - 5 = 95

Answer:

4/15

Step-by-step explanation:

The total number of spins completed is 6+8+7+9 = 30

The letter B came up 8 times

P(B) = number of B's over total

P(B) = 8/30 = 4/15

A fraction is the numerator divided by the denominator best describes a fraction.

Given,

- A fraction is the denominator divided by the numerator.

- A fraction is the numerator divided by the denominator.

- A fraction is the numerator multiplied by the denominator.

- A fraction is the denominator multiplied by the numerator.

We need to find which option best describes a fraction.

A fraction has two parts: Numerator and Denominator.

It is in the form of Numerator / Denominator.

We have,

- A fraction is the denominator divided by the numerator.

It is written as denominator / Numerator.

- A fraction is the numerator divided by the denominator.

It is written as Numerator / Denominator

- A fraction is the numerator multiplied by the denominator.

It is written as Numerator x Denominator.

- A fraction is the denominator multiplied by the numerator.

It can be written as Denominator x Numerator.

We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.

Thus A fraction is the numerator divided by the denominator best describes a fraction.

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Answer:

The y-intercept is (0,5)

Step-by-step explanation:

y-intercept can be found by plugging x=0 into given equation

f(x)=5(6)^0=5(1)=5  

which same as given y-intercept (0,5)