The answer to the question

Answer:

Steps:

Answer:

it will be 300 feet tall and 1000 feet wide

Step-by-step explanation:

The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ba^x+c[/tex]

Here, a,b and c are the real numbers.

The arch support of a bridge can be modeled by the following function,

[tex]y=-0.0012x^2+300[/tex]

Here, x and y are measured in feet.

The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,

[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]

As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,

[tex]w=500-(-500)\\w=1000\rm ft[/tex]

Now similarly at x equal to zero, the function will be,

[tex]y=300[/tex]

Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

Learn more about the exponential function here;

https://brainly.com/question/15602982

Answer:

[tex]512\ \text{in}^2[/tex]

Step-by-step explanation:

x = Length and width of base

y = Height of box

Volume of the box is [tex]16384\ \text{in}^3[/tex]

[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]

Surface area is given by

[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]

Differentiating with respect to x we get

[tex]s'=2x-\dfrac{131072}{x^3}[/tex]

Equating with 0 we get

[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]

[tex]s''=2+\dfrac{393216}{x^4}[/tex]

at [tex]x=16[/tex]

[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]

So the function is minimum at x = 16

[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]

The material required is

[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]

The minimum amount of material required is [tex]512\ \text{in}^2[/tex].

Answer:

false

Step-by-step explanation:

because if one of the right side goes to two or more of the left its not a function

Answer:

-2

Step-by-step explanation:

Answer:

answer is -2

Step-by-step explanation:

5+3=8

8-10= -2

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

Answer:

the formula to find the amount for number 7 is

A=p(1+r/n) raised to power n ,e.g

A=4000(1+4/1)raised to power 1

A=4000(1+4) raised to power 1

A=4000(5)

A=20,000.

to find interest

I=PRT/100

I=4000×4×1/100

I=#160

Answer: 72 feet

Step-by-step explanation:

24 yards= 72 feet

Answer:

Step-by-step explanation:

A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries

B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables

C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace

D) False : This is only possible when S has exactly n elements/vectors

E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent

Answer:

[tex]3\frac{7}{8}[/tex]

Step-by-step explanation:

Equation: 4 1/7 + 2 1/8 + x= 10 1/7

Convert into improper fractions:

29/7 + 17/8= 71/7

Add fractions

351/56+x= 71/7

Subtract on both sides

X= 31/8 or 3 7/8

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Answer:

everyone

Step-by-step explanation:

Answer:

p = 43 :)

Your welcome DaBaby

Answer:

75/6 = 12.5

Step-by-step explanation:

Mean = The sum divided by the number of numbers.

Answer:

1.016 of a mile.

Step-by-step explanation:

Answer:

A) The parameter of interest is the average filling weight of all cereal packages. ;

Point estimate = 1.22

Margin of Error = 0.0196

Confidence interval = (1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Step-by-step explanation:

A) The parameter of interest is the average filling weight of all cereal packages.

The point estimate = sample mean = 1.22

The margin of error with 95% confidence :

Zcritical * σ/sqrt(n)

Zcritical at 95% confidence = 1.96

Margin of Error = 1.96 * 0.06/sqrt(36)

Margin of Error : 1.96 * 0.01

Margin of Error = 0.0196

Confidence interval :

xbar ± margin of error

1.22 ± 0.0196

Lower boundary = 1.22 - 0.0196 = 1.2004

Upper boundary = 1.22 + 0.0196 = 1.2396

(1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Since, the internal contains 1.20, then we can conclude that it is filling properly.

Answer:

29.33

I thinks that right... lol :D

Forgive me if it wrong :(

Step-by-step explanation:

That is equivalent to 308 square yards.  You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57

It's def not c or d, I think it's a.

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Answer:

what is the circle

○ YW 42

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation is known to be 1.8.

This means that [tex]\sigma = 1.8[/tex]

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]

[tex]0.19\sqrt{n} = 1.96*1.8[/tex]

[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]

[tex]n = 344.8[/tex]

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

Answer: 240 degrees

Step-by-step explanation: minute hand makes 360 degree circle in hour.

There is no influence for the length of hand in this case.

40 minutes is 2/3 hours. 2/3 ·360 degrees

Answer:

For samples of size n=200, the standard error is of 0.033.

For samples of size n=300, the standard error is of 0.027.

For samples of size n=400, the standard error is of 0.024.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The percentage of married couples who own a single family home is 33% for a given population.

This means that [tex]p = 0.33[/tex]

Samples of 200:

[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]

For samples of size n=200, the standard error is of 0.033.

Samples of 300:

[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]

For samples of size n=300, the standard error is of 0.027.

Samples of 400:

[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]

For samples of size n=400, the standard error is of 0.024.

Answer:

The range of the data value is 695.

Step-by-step explanation:

Please mark me brainlliest!

Answer:

695

Step-by-step explanation:

Range is the difference between the largest and smallest value.

1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

1890 - 1195

695