Rectangular prism A is similar to rectangular prism B. The ratio of the surface of A to B is 4:1. If the volume of rectangular prism B is 12 cm3 , what is the volume of rectangular prism A?

The estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

For the stated function;

f(5)=3 and f′(5)=4

the linear approximation indicates that you believe the function is linear.

So just do this:

f(5) + f'(5) (x-5)

Put the values in the obtained function;

In this particular instance, it works out.

= 3 + 4 (4.8 - 5)

= 3 + 4 (-0.2)

= 2.2

Thus, the estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

To know more about the differentiable function, here

https://brainly.com/question/5525095

#SPJ4

A gallon which is a liquid measuring unit of US in cooking measurements, there are eight cups in half of a gallon.

A gallon is the most commonly used unit of measure for measuring the volume of liquids. US gallons are legally defined as 231 cubic inches, or exactly 3.78 liters .

Ounces : fluid ounces (fl oz, fl. oz ) is a unit of volume commonly used to measure liquids. To convert from gallons to ounces, multiply the value in gallons by 128. So, 1/2 gal = (1/2) × 128 = 64 oz or ounces, 1/2 gallons = 64 ounces. Now, let's measure a cup in gallons, 1 cup is equal to 8 ounces ,then 8 cups are 64 ounces. From the above discussion we conclude that 8 cups = 64 ounces = 1/2 gallon. So, 8 cups is 1/2 gallon.

To learn more about Gallons volume measuring unit , refer:

https://brainly.com/question/4837138

#SPJ4

Answer:

i can understand your problem

Answer: 8 hours

Step-by-step explanation:

speed = distance/time

time = distance/speed

[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]

The percent of change 8 to 2

The correct answer is 15.

Given:

connie multiplies a number by 2 and gets 60 as her answer

let x is the number

then, 2x=60

or  x=30.

since , she should have divided the number by 2 to get the correct answer

According to the question,

Dividing the number by 2

Therefore , correct answer = 30/2 = 15

Learn more about division at :

https://brainly.com/question/28119824

#SPJ4

Answer: x = 110

Step-by-step explanation:

           A 7-sided shape, also known as a septagon, has a total of 900° among its angles. We will set up an equation and solve by combining like terms and using inverse operations.

105° + 150° + 140° + x° + 135° + 125° + 135° = 900°

790° + x° = 900°

x = 110

The values of x in the equation are (a) x = 13 and (b) x = 1

From the question, we have the following parameters that can be used in our computation:

(x - 7)2 = 36

This equation when expressed properly is

(x - 7)² = 36

Take the square roots of both sides of the equation

So, we have the following representation

x - 7 = ±6

Add 7 to both sides of the equation

This gives

x = 7 ± 6

Evaluate the sum and the difference

x = 1 and 13

Hence, the solutions are (a) and (b)

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

The variance of a sample is 4,096. And for interquartile, the difference between the largest and smallest values. The correct answer is option D

To calculate the variance we have a small formula:

v=s^2-----(1)

v=variance

s=Standard deviation

so, given that s=64

substitute in equation(1)

v=64*64

v=4096.

variance: The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean.

Variance is denoted by a symbol: σ2.

Interquartile range (IQR) is a measure of statistical dispersion, which is used to spread the data. The IQR is also called midspread.

To calculate the IQR, the data set is divided into quartiles. These quartiles are denoted by Q1 (another name is the lower quartile), Q2 (the median), and Q3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile corresponds with the 75th percentile, so IQR = Q3 −  Q1

To know more about Variance:

https://brainly.com/question/16162584

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

To know more about Hypothesis here.

https://brainly.com/question/29576929

#SPJ4

2 different expressions that involve only outs and powers of 2 which are equivalent 4 2/3 / 8 1/4

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

2) (2^5 * 3^1) / (2^6 * 4^-1)

1) (4^2 * 2^-1 * 3^1) / (8^1 * 2^-2 * 4^-1)

This expression is equivalent to 4 2/3 / 8 1/4 because it is written in terms of powers of two. 4^2 is equal to 16, which is the numerator in 4 2/3. 2^-1 is the same as 1/2, which is the second fraction in 4 2/3. 3^1 is equal to 3, which is the numerator in 8 1/4. 8^1 is equal to 8, which is the denominator in 8 1/4. 2^-2 is the same as 1/4, which is the second fraction in 8 1/4. 4^-1 is equal to 1/4, which is the first fraction in 8 1/4. When all the terms are multiplied and divided, it is the same as 4 2/3 / 8 1/4.

2) (2^5 * 3^1) / (2^6 * 4^-1)

This expression is also equivalent to 4 2/3 / 8 1/4 because it is written similar to above equation.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Answer: a₁₄=90x-31

Step-by-step explanation:

-x-5,  6x-7,  13x-9 ...

Hence,

a₁=-x-5

a₂=6x-7

a₃=13x-9

d=a₂-a₁

d=6x-7-(-x-5)

d=6x-7+x+5

d=7x-2

aₙ=a₁+d(n-1)

a₁₄=-x-5+(7x-2)(14-1)

a₁₄=-x-5+13(7x-2)

a₁₄=-x-5+91x-26

a₁₄=90x-31

The required missing value for the values representing the direct variation is -3.2.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,

let the missing number be x.
From the table given,
-22/-4.4 = -16 / x
x = -16 / 5
x = -3.2

Thus, the required missing value for the values representing the direct variation is -3.2.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

Three identically sized sectors make up a spinner. Two sectors are colored blue, while one sector is labeled red. Kathryn turns the spinning while recording the outcomes. Kathryn comes to the conclusion that there is a problem with her experiment after running several trials for it.

The object's sample space affects theoretical probability. For instance, the likelihood of rolling a 3 when using a fair die is 1/6. This is so because, when a fair die is rolled, the number 3 indicates one of the six possible results.

Divide the total number of trials by the number of times the desired result has occurred to determine the experimental probability.Every time, one fourth of the time, the spinner will land on a different color. The likelihood of rolling each number on the die in Experiment 2 is always one sixth. The results are equally likely to occur in both of these tests. Let's examine a test in which the results are not equally likely.

To learn more about probability refer to :

https://brainly.com/question/24756209

#SPJ1

Answer:

t ≈ 11.7

Step-by-step explanation:

                  r

A = P (1 + -------)^(n)(t)

                  n

A = 5000

P = 2500

r = 0.06

n = 2

t = ?

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

                                  2

                              0.06

5000 = 2500 (1 + ----------)^(2)(t)

÷2500 ÷2500           2

             0.06

2 = (1 + ----------)^(2)(t)

                2

            log 2

------------------------ =  2t

             0.06

log (1 + ----------)

                2

            log 2

(1/2) ------------------ = 2t (1/2)

                    0.06

      log (1 + ----------)

                      2

11.72488612 = t

11.7 ≈ t

I hope this helps!

Answer:

f(-1)= -1

Step-by-step explanation:

put -1 where x is

f(x)=3x+2;f(-1)

f(-1)=3(-1)+2

f(-1)= -3+2

f(-1)= -1

Answer: y=|x+1.5|

Step-by-step explanation:

y=|x+1.5|

The value of a=12

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equals to symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

[tex]\frac{a}{15}=\frac{4}{5}[/tex]

or, 5a=4*15

or, a= 4*15/5

or, a= 12

To learn more about cross multiplication visit: brainly.com/question/29190202

#SPJ4

Answer:

Step-by-step explanation:

1)Option A)

2)Option B)

the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}

∫∫3xy2 dx dy = 16

We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:

∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy

Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:

∫0→1 3xy2 dx = x3y2 + c

Now, we can substitute this expression into the double integral, giving us:

∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy

Finally, we can integrate this expression with respect to y, giving us the following:

∫∫3xy2 dx dy = x3y3 + cy + d

Now, we can substitute the limits of integration into this expression, giving us the following:

∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16

therefore, the double integral is equal to 16.

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4

The length of WX = 25, WY = 25, XY = 17.

Isosceles triangles have two sides that have the same length.

 ABC, if it is an isosceles triangle then AB=AC

Properties of isosceles triangle used in this question:

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal and its reverse also hold.

ABC is an isosceles triangle AB=AC then

                                 ∠B =∠C

Given: ΔWXY, ∠X = ∠Y

       Therefore, WX = WY

WX = 9x-11

WY = 7x-3

XY = 4x=1

9x-11 = 7x-3

9x-7x = -3+11

2x = 8

x = 4

We can calculate easily all the side with the help of x value

WX = 9x-11 = 9*4 -11 = 26-11

                        = 25

WY = 7 x (-3) = (7×4)– 3 = 28-3

                       = 25

XY = 4x=1 = (4×4) +1 = 16+1

                       = 17

Hence, we get all the sides.

Learn more about  isosceles triangle here:

https://brainly.com/question/13511111

#SPJ1

Answer:

B

Step-by-step explanation:

Solve (x + y(x)) (-(dy(x))/(dx) + 1) = (dy(x))/(dx) + 1:

Let v(x) = x + y(x), which gives (dv(x))/(dx) = (dy(x))/(dx) + 1:

(-(dv(x))/(dx) + 2) v(x) = (dv(x))/(dx)

Simplify:

-((dv(x))/(dx) - 2) v(x) = (dv(x))/(dx)

Solve for (dv(x))/(dx):

(dv(x))/(dx) = (2 v(x))/(v(x) + 1)

Divide both sides by v(x)/(v(x) + 1):

((dv(x))/(dx) (v(x) + 1))/v(x) = 2

Integrate both sides with respect to x:

integral((dv(x))/(dx) (v(x) + 1))/v(x) dx = integral2dx

Evaluate the integrals:

log(v(x)) + v(x) = 2 x + c_1, where c_1 is an arbitrary constant.

Solve for v(x):

v(x) = W(e^(2 x + c_1))

Simplify the arbitrary constants:

v(x) = W(c_1 e^(2 x))

Substitute back for y(x) = -x + v(x):

Answer:  y(x) = -x + W(c_1 e^(2 x))

The surface area of the pyramid is 41. 29 In²

The formula for determining surface area of a square pyramid is expressed as;

Surface area = a² + 2a [tex]\sqrt{\frac{a^2}{4 } + h^2[/tex]

Where;

Substitute the values

Surface area = [tex]4^2 + 2(4) \sqrt{\frac{4^2}{4} } + 6[/tex]

Find the squares

Surface area = [tex]16 + 8 \sqrt{\frac{16}{4} + 6 }[/tex]

Divide the values

Surface area = 16 + 8√10

Surface area = 16 + 8(31.16)

expand the bracket

Surface area = 16 + 25. 29

Surface area = 41. 29 In²

Hence, the value is 41. 29 In²

Learn more about surface area here:

https://brainly.com/question/16519513

#SPJ1

Answer:

n + 6 = 13

Step-by-step explanation:

let n be the number, then increasing by 6 means adding 6 to it , so

n + 6 = 13 ← linear equation

After 7 years  the laptop computer will be worth $200 or less.

Given:

A laptop computer is purchased for $1400 .

Each year, its value is 75%  of its value the year before.

After how many years will the laptop computer be worth $200  or less = ?

1400(0.75)t≤ 200

0.75t  ≤ 1/7

ln(0.75t) ≤ ln(1/7)

tln(0.75) ≤ ln(1/7)

t ≥ ln(1/7)/ln(0.75)

t ≥ 6.76

The natural log of a number between 0 and 1 is negative, and dividing by a negative switches the sign.

So, after 7 years, the laptop computer will be worth $200 or less.

Learn more about Hypothesis here:

brainly.com/question/15980493

#SPJ4

Answer: 6,500 feet MSL

Step-by-step explanation:

I don't think any options you provide have the correct answer! It should be 6,500 feet MSL

70 times smaller is the bacterial cell than the amoeba cell.

What is 10^n?

As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 10⁶ is represented as 1,000,000. The number 1 n places after the decimal point represents the power of 10 when n is less than 0; for instance, 10⁻² is represented as 0.01.

Given that, the length of a bacterial cell is about 5 x 10⁻⁶ m, and the length of an amoeba cell is about 3.5 x 10⁻⁴ m.

To calculate times of smaller, divide the length of amoeba cell with bacterial cell.

Therefore, (3.5 x 10⁻⁴)/(5 x 10⁻⁶) = 70.

To learn more about scientific notation, click on below link:

https://brainly.com/question/28727696

#SPJ1

Answer:

so the experts answer is correct but its not in scientific notation the answer is: 7 x 10^1

Step-by-step explanation:

The total number of votes will be equal to 7678.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 3490 no votes.

The number of yes votes will be,

Y/ N = 6 / 5

Y = ( 6 x N ) / 5

Y = ( 6 x 3490 ) /5

Y = 4188

Total number of votes,

T = Y + N

T = 4188 + 3490

T = 7678

Therefore, the total number of votes will be equal to 7678.

To know more about an expression follow

https://brainly.com/question/18075681

#SPJ1

The correct ordering of the graphs from least value of n to greatest value of n is A, B, C.

The three graphs, A, B, and C, represent the results of three simulations of a sampling distribution of a sample mean. Graph A has a value of n of 200, Graph B has a value of n of 200 and Graph C has a value of n of 0. Thus, the correct ordering of the graphs from least value of n to greatest value of n is A, B, C. To understand this, it is important to note that as the value of n increases, the sample means will be more representative of the population. Therefore, Graph A with the lowest value of n would have the least representative sample means, followed by Graph B and Graph C with the highest value of n having the most representative sample means.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

To learn more about minimal of matrix, refer:

https://brainly.com/question/19084291

#SPJ4

Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

14 orders of guacamole need  24.5  avocadoes

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

4 orders of guacamole need  7 avocadoes

14 orders of guacamole need  x avocadoes

Equivalent ratios:

4/7 = 14/x

Solve for x.

=> 4x = 7*14 = 98

=> x = 98/4 = 24.5

So, 14 orders of guacamole need  24.5  avocadoes

To learn more about equivalent ratios from the link

https://brainly.com/question/2914376

#SPJ1