Work out the outer surface area of this open top box. 9m 3m 2m​

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

Answer:

$6

Step-by-step explanation:

if you divide 48 by the 8 books you will get the answer for how much he spent on just one

The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Answer:

C. 1/16

Step-by-step explanation:

\(16 * 4^{-4}\)

16 can be written as a power of 4.

\(4^2 * 4^{-4}\)

The bases are same, add exponents.

\(4^{2+-4}\)

\(4^{-2}\)

Simplify negative exponent.

\(\frac{1}{4^2 }\)

\(\frac{1}{16}\)

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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A and B are dependent events. This means that the outcome of B affects the outcome of A.

We have that "the probability that A occurs given that B occurs" is symbolized by

P(A|B)

This is what we want to find.

We have that:

P(A): probability that event A occurs.

P(A) = 1/4

P(B): probability that event B occurs.

P(B) = 8/9

P(A&B): probability that both events A and B occurs.

P(A&B) = 1/5

We have that:

Replacing in the equation:

Since,

Then

Answer:

3/4 pepper

Step-by-step explanation:

if you add 1/4 3 time you get the answer

Answer:

Since 9 is 3 times the denominator of the first ratio, multiply the numerator of the first ratio by 3 to get the numerator of the second ratio. The amount of pepper is 3/4 teaspoon.

Answer:

If both objects started with no charge, they would carry opposite charges of the same magnitude after rubbing.

Step-by-step explanation:

When one insulator is rubbed against another, some electrons on one insulator might travel to the surface of the other insulator. Electrons are neither lost nor created in this process- they are just moved from one surface to the other.

Let the two insulators in this question be denoted as \(A\) and \(B\). Assume that both insulators were initially not charged.

Let \({\rm e}\) denote the fundamental charge. Each electron carries a negative charge of \((-1\; {\rm e})\). Assume that \(n\) electrons are moved from insulator \(A\!\) to insulator \(B\!\):

In other words, the insulator that lost some electrons (which are negatively charged) now carries less negative charge and becomes positively charged. In contrast, the insulator that gained some electrons now carries more negatively charge becomes negatively charged.

The amount of electrons on the two objects combined stays unchanged. Thus, the amount of charge one insulator lost is equal to what the other insulator gained. Therefore, the sign of the charge on the two insulators would be different, but the magnitude (absolute value) of the charge would be equal.

Therefore, the two objects would be oppositely charged, with the magnitude of the charge on them being equal.

Answer:

6. 156.6 cm

7. 687.7’

Step-by-step explanation:

45 cm and 150 cm are the legs of one triangle.

The longest side is the hypotenuse.

Apply Pythagorean theorem, since the two triangles are right triangles.

a² + b² = c²

a and b are the legs, c is the hypotenuse.

45² + 150² = c²

24525 = c²

√24525 = c

c = 156.604597634...

c ≈ 156.6

Brain hang-glided from a 520’ high cliff. He landed 450’ away from the base of the cliff. Create a right triangle and apply Pythagorean theorem. The distance he travelled is the hypotenuse of the triangle. The 520’ and 450’ are the legs.

a² + b² = c²

450² + 520² = c²

c² = 472900

c = √472900

c = 687.677249878...

c ≈ 687.7

Answer: 6) =approx 156.60 cm

7) =approx 687.68'

Step-by-step explanation:

6.  Let the shortest side of the triangle is AB=45 cm ( ∡A=90° so ABCD  is a rectangle). The middle side AD=150 cm.  The longest side is BD

The length of BD can be calculated using Phitagore theorem  because triangle BAD ia right angle.

BD=sqrt(AD²+AB²)=sqrt(2025+22500)=approx 156.60 cm

7. So we can create the model of the situation described in this problem.

The model is right-angle triangle ABC  with side AB=520'  ,side AC=450', right angle is A. So we have to find the length of side BC .

BC is hypotenuse of triangle ABC. We can find it  using Phitagore theorem again.

BC=sqrt(AC²+AB²)=sqrt(450²+520²)=sqrt(472900)=approx 687.68'

The probability of randomly selecting a male student and female student are non-smokers is 0.6771

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

According to the given question:

Number of male students are smokers = 61

Number of male students are non smokers = 549

Total number of male students = 610

Number of female students are smokers = 156

Number of female students are non smokers = 444

Total number of female students = 600

Probability that both are non smokers is given by

P (non-smoker males) x P (non-smoker females)

= \(\frac{549}{610} . \frac{444}{600}\)

= 0.915 x 0.74

= 0.6771

Therefore the probability that both male and female are non-smokers is 0.6771.

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Answer: 0.48 rad/sec

Step-by-step explanation:

dx/dt = 3ft

to find d∅/dt when x = 3

Using the right angled triangle

ΔABC

Now perpendicular (BC) = X FT

Base ( AC) 4 ft

so Hypotenuse(AB) = √ (BC² + AC²) = √ ( x² + 4²) = √ ( x² + 16)

and x/4 = tan∅ ; x = 4tan∅

now we differentiate each side

dx/dt = d/dt(4tan∅) = d/d∅(4tan∅) d∅/dt

⇒ dx/dt = (4sec²∅) d∅/dt  = ( 1/4 cos²∅) dx/dt

⇒ d∅/dt = cos²∅/4 × 3 = 3/4 cos²∅

now when x = 3, the length of the beam is

{from our initial equation (AB) = √ (BC² + AC²)}

AB = √(3² + 4²) = √(9 + 16) = 5ft

therefore cos∅ = 4/5

so we substitute in  (d∅/dt = ( 1/4 cos²∅) dx/dt)

d∅/dt = 1/4 ( 4/5)² × 3

d∅/dt = 12/15 = 0.48 rad/sec

\(Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}\)

Answer: 50

Step-by-step explanation:

2021 edge

Answer:

c) 50

Step-by-step explanation:

Answer:

a)

b. Joel

c. Juan

d. Linda

b)

b. Joel

c)

a. Jan

f.Susan

d)

a. Jan: 140

b. Joel: 156

c. Juan: 196

d. Linda: 191

e. Robert: 183

f. Susan: 110

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean, positive z-scores are above the mean, negative are below the mean and 0 is 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 p-value, we get the probability that the value of the measure is greater than X.

Question a:

Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.

(b) Which of these students scored on the mean?

Joel, which had a z-score of 0, so the correct option is b.

(c) Which of these students scored below the mean?

Jan and Susan had negative z-scores, so them, options a and f.

Question d:

We have that \(\mu = 156, \sigma = 24\), so we have to find X for each student.

Jan:

Z = -0.65. So

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.65 = \frac{X - 156}{24}\)

\(X - 156 = -0.65*24\)

\(X = 140\)

b. Joel

Z = 0, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(0 = \frac{X - 156}{24}\)

\(X - 156 = 0*24\)

\(X = 156\)

c. Juan

Z = 1.66, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.66 = \frac{X - 156}{24}\)

\(X - 156 = 1.66*24\)

\(X = 196\)

d. Linda

Z = 1.46. So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.46 = \frac{X - 156}{24}\)

\(X - 156 = 1.46*24\)

\(X = 191\)

e. Robert

Z = 1.11. So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.11 = \frac{X - 156}{24}\)

\(X - 156 = 1.11*24\)

\(X = 183\)

f. Susan

Z = -1.9. So

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.9 = \frac{X - 156}{24}\)

\(X - 156 = -1.9*24\)

\(X = 110\)

\(\huge\text{Hey there!}\)

\(\huge\text{-8 (3r - 4) - 6}\)

\(\huge\text{= -8(3r) + (-8)(-4) - 6}\)

\(\huge\text{= -24r + 32 - 6}\)

\(\huge\boxed{\textsf{COMBINE the LIKE TERMS}}\)

\(\huge\text{= -24r + 6}\)

\(\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

b or a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation that models the population of bats, y, after x years can be found using the formula:

y = P(1 + r)^x

where P is the initial population, r is the annual growth rate as a decimal, and x is the number of years.

In this case, the initial population P is 345,000, the annual growth rate r is 1.2% or 0.012 as a decimal, and x is the number of years. Substituting these values into the formula, we get:

y = 345,000(1 + 0.012)^x

Simplifying the expression in the parentheses, we get:

y = 345,000(1.012)^x

Therefore, the equation that models the population of bats, y, after x years is:

y = 345,000(1.012)^x

Step-by-step explanation:

the other answer is correct.

I just want to point out some mechanism used here :

the increase by 1.2%

an increase by x% means adding x% to the original 100%.

so, we end up with (100 + x)%.

"%" just stands for 1/100.

so, if y = 100%, an increase by x% is

y×(100 + x)/100 = y×(1 + x/100)

in our case here that is

345,000 × (1 + 0.012) = 345,000 × 1.012

and since the increase rate of 1.2% applies per year, we multiply the end population of every year by 1.012 for the following year.

so, each year a new factor of 1.012 is being integrated into the calculation.

it goes then

345,000×1.012×1.012×1.012×...×1.012 x times after x years.

and we get

y = 345,000 × (1.012)^x

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

ohhhhh and who is the jeweler

Answer:

301.59 units or 301.6 after rounding

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

1.25

Step-by-step explanation:

if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .

Answer:

$62.50

Step-by-step explanation:

Proportions:

$7.50 ⇔ 6ft

$R ⇔ 50ft

R = 7.5*50/6

R = $62.5

Answer:

(5 + x)(5 - x)

Step-by-step explanation:

Hope this helps!

Answer: Hello Luv......

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=5 and b=x

.

(5+x)(5−x)

Step-by-step explanation:

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Hope this helps you.

Anna ♥

The value of x and y include the following:

x = 12 units.

y = 0

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce the following congruent angles and similar sides:

2x + 7 = 3x - 5

3x - 2x = 7 + 5

x = 12 units.

For the value of y, we have:

2y - 37 = 2y - 40

2y - 2y = 40 - 37

y = 0

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Answer:

49 games

Step-by-step explanation:

The solution of the equation –3x + 1 + 10x = x + 4 will be 1/2. Then  the correct option is A.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

–3x + 1 + 10x = x + 4

On changing, we have

6x = 3

 x = 1/2

Then  the correct option is A.

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Answer:

A

Step-by-step explanation:

Edg 2022

Answer:

hope this helps you