Find the length of a diagonal of a rectangular box of length 12 cm, width 5 cm and height 4 cm.​

Answer:

b

Step-by-step explanation:

Just graph 3x+5 and you'll see that it passes through the point (-4,-7) and has the matching slope as well. None of the others match the criteria.

B is the answer

Step-by-step explanation:

I did it before

The required value of a function of function (g°f)(-6) is given as 52.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x) = -x - 2

g(x) = x²

g(f(x)) = [-x - 2]²
g(f(x)) = [x + 2]²   [since [-a]² = a²]
g(f(x)) = x² + 2x + 4

Now, put x = 6,
g(f(6)) = 6² + 2[6] + 4

g(f(6)) = 36 + 12 + 4
g(f(6)) = 52

Thus, the required value of a function of function (g°f)(-6) is given as 52.

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Answer: I don’t see the graph options but the unit rate is 4 eggs every minute

Step-by-step explanation:

Answer:

if i does not understand bad its

12 24 36 48 60 72 84

1 .  2 .  3 .  4 . 5 . 6 . 7

Step-by-step explanation:

es facil con solo contar de 12 en 12

The size of angle x is \(61.2^{o\\}\)

Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

From the diagram,

Using SOHCAHTOA which stands for:

SINE= OPPOSITE SIDE / HYPOTHENUSE SIDE

COS= ADJACENT SIDE/HYPOTHENUSE SIDE

TAN=OPPOSSITE SIDE/ ADJACENT SIDE

By applying the tangent trigonometric ratio

Tangent = Opposite side/ Adjacent side

\(tan(x) = \frac{20}{11} \\\)

\(tan(x) = 1.82\)

To find the size of angle x,

x =  \(tan^{-1}\)(1.82)

x = \(61.2^{o}\)

Using the tangent trigonometry, the size of angle x  is \(61.2^{o}\)

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Answer:

  1.  0.95x

Step-by-step explanation:

The amount of the discount is 0.05x, so the discounted price is ...

  x - 0.05x = x(1 -0.05) = 0.95x

Answer:

B

Step-by-step explanation:

Answer:

Y=8

Step-by-step explanation:

The difference between the number Alice hit and 6 is X - 6.  Twice that would be 2(X-6).  So Y = 2(X-6).  We also know that X + Y = 18 so we have 2 equations:

Y = 2(X-6)

X+Y = 18

Let's take the second equation and solve for Y in terms of X

Y = 18 - X

Now take that result and substitute that back into the first equation that starts with Y, because now you know that Y is also equal to 18 - X, now you have:

18 - X = 2(X - 6)

Let's solve for X

18 - X = 2X - 12

18 - 3X = - 12

- 3X = - 30

X = 10 <--number of home runs Alice Hit

That leaves us with Y = 8  <---number of home runs Peter hit

Go back to the original question and make sure the answer fits.  The difference between 10 and 6 is 4 and twice that is 8, the number Peter hit.  10 + 8 = 18.  Good to go!

Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1/10(x + 130) = -2(3 - x)

x + 130 = -20(3-x)

x + 130 = -60 + 20x

x - 20x = -60 - 130

-19x = -190

x = 10

Answer:

by5b5ybyb54

Step-by-step explanation:

yb5ybyby

The 100th term of the sequence is 1.57 × 10^29

The nth term of an arithmetic progression is expressed using the formula:

Tn = \(ar^{n-1}\)

Given the sequence:

10, 5...

a = 10

r = 5/10 = 1/2

Since we need the 100th term, n = 100

Substitute the given parameter into the formula:

\(T_{100} = 10(1/2)^{100-1}\\T_{100}= 10*0.5^{99}\\T_{100}=10 \times 1.57\times 10^{-30}\\T_{100} = 1.57\times 10^{29}\)

Hence the 100th term of the sequence is 1.57 × 10^29

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Answer:

c=0.59p+2

Step-by-step explanation:

Answer:

There are two possible coordinates for A:  Either A (-5, 10) or A (-5, -6)

Step-by-step explanation:

To find the possible coordinates of A, we will need to find the possible y-coordinate.

We can do this using the distance (d) formula, which is

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, x2) are one set of coordinates and (y1, y2) are the other set of coordinates

We can allow point B (1, 2) to be our x1 and x2 coordinates and A (-5, y2) to be our x2 and y2.  Thus, we must plug into the formula 10 for d and solve for y2:

\(10=\sqrt{(-5-1)^2+(y_{2}-2)^2}\\ 10=\sqrt{(-6)^2+(y_{2}-2)^2}\\ 10=\sqrt{36+(y_{2}-2)^2}\\ 100=36+(y_{2}-2)^2\\64=(y_{2}-2)^2\\\)

To finish solving, we must take the square root of both sides.  Whenever you take a square root, there is both a positive answer and a negative answer, since squaring a negative number also yields a positive number (e.g., 5 * 5 = 25 and -5 * -5 = 25):

Positive answer:

\(8=y_{2}-2\\10=y_{2}\)

Negative answer:

\(-8=y_{2}-2\\-6=y_{2}\)

To check our answers, we can plug in both 10 for y2 into the formula and -6 for y2 into the formula and check that we get 10 each time:

Plugging in 10 for y2:

\(10=\sqrt{(-5-1)^2+(10-2)^2}\\ 10=\sqrt{(-6)^2+(8)^2}\\ 10=\sqrt{36+64}\\ 10=\sqrt{100}\\ 10=10\)

Plugging in -6 for y2:

\(10=\sqrt{(-5-1)^2+(-6-2)^2}\\ 10=\sqrt{(-6)^2+(-8)^2}\\ 10=\sqrt{36+64}\\ 10=\sqrt{100}\\ 10=10\)

Thus, the two possible coordinates of A are (-5, 10), where 10 is the y-coordinate or (-5, -6), where - 6 is the y-coordinate.

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

If the surface area of a sphere is 1, then its radius is √(1/4π) = 0.2821 (approximate to four decimal places).

The surface area of a hemisphere with the same radius is half that of the sphere since it only covers half of the surface area.

So, the surface area (including the base area) of the hemisphere would be:

2π(0.2821)^2 + π(0.2821)^2 = 0.5 + 0.25π = 0.7854 (approximate to four decimal places).

Therefore, the surface area (including the base area) of the hemisphere with the same radius is approximately 0.7854 square units.
Hi! To find the surface area of a hemisphere with the same radius as a sphere, we'll first determine the radius using the sphere's surface area formula, and then apply the hemisphere's surface area formula.

1. Sphere's surface area formula: A = 4πr²
Given surface area A = 1, we'll solve for radius r:

1 = 4πr²
Divide both sides by 4π:
1 / 4π = r²

2. Find r:
r = √(1 / 4π)

3. Hemisphere's surface area formula (including base area): A_hemisphere = 3πr²
Substitute r with the value we found:

A_hemisphere = 3π(√(1 / 4π))²

4. Simplify the expression:
A_hemisphere = 3π(1 / 4π)
A_hemisphere = (3/4)π

So, the surface area (including the base area) of the hemisphere with the same radius as the given sphere is (3/4)π.

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Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

Answer:

The answer is 5

Step-by-step explanation:

on edge 2021

26 city blocks

Hence, the actual distnce between the city Hall and library is 26 city blocks apart

Answer:

D

Step-by-step explanation:

The y-intercept is the initial amount and the rate of change is the amount she saved each week so that eliminates A and B. Since the y-intercept is 20 the answer is D.

Answer:

1 1/9 miles

Step-by-step explanation:

If john swims 5/12 of a mile in 3/8 of an hour, then;

5/12 miles = 3/8 hours

TO get the number of miles he swims in an hour, we will say;

x miles = 1 hour

Equating both expressions

5/12 miles = 3/8 hours

x miles = 1 hour

Cross multiply

3/8 x = 5/12

3x/8 = 5/12

3x * 12 = 5 * 8

36x = 40

x = 40/36

x = 10/9

x = 1 1/9

The amount he swims in an hour is 1 1/9 miles

Answer:

x = a^2 b

Step-by-step explanation:

log x = 2 log a + log b

We know that

c log d = log d^c

log x =  log a^2 + log b

We know that log c* log d = log cd

log x =  log a^2 b

Since they are both logs

x = a^2 b

Please find attached photograph for your answer.

The amount of the annual depreciation has been $90.

The statement provides us with the following data:

The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.

Yearly depreciation = (Original cost - Depreciated value) / Number of years

Yearly depreciation = ($810 - $450) / 4

Yearly depreciation = $360 / 4

Yearly depreciation = $90

Therefore, the amount of yearly depreciation for the table saw is $90.

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The probability of an outcome less than 5 in a discrete uniform distribution ranging from 2 to 9 inclusive is 37.5%.

In a discrete uniform distribution, each outcome has an equal probability of occurring. In this case, the range of possible outcomes is from 2 to 9 inclusive, which means there are a total of 8 possible outcomes (2, 3, 4, 5, 6, 7, 8, 9).

To calculate the probability of an outcome less than 5, we need to determine the number of outcomes that satisfy this condition. In this case, there are 4 outcomes (2, 3, 4) that are less than 5.

The probability is calculated by dividing the number of favorable outcomes (outcomes less than 5) by the total number of possible outcomes. So, the probability is 4/8, which simplifies to 1/2 or 0.5.

Therefore, the correct answer is B. 50.0%. The probability of an outcome less than 5 in this discrete uniform distribution is 50%, or equivalently, 0.5.

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Answer:

(5x + 3)² + 3

Step-by-step explanation:

25x² + 30x + 12 =

= (25x² + 30x) + 12

How do we make 25x² + 30x into a perfect square?

25x² is the square of 5x, so our binomial that is squared will start with

(5x + ___)²

We need to find the number that is added to 5x inside the parentheses.

The middle term of the squared binomial is 2 times the first term times the second term.

2(5x)b = 30x

b = 3

The binomial is (5x + 3).

When we square it, the last term will be 9. We need to add 9 to 25x² + 30x to have a perfect square. Then we also need to subtract 9 to not change the value of the expression.

= (25x² + 30x + 9) + 12 - 9

= (5x + 3)² + 3

Answer:

x = 9

Step-by-step explanation:

9/72 = (3x-20)/56

9(56) = 216x - 1440

504 = 216x - 1440

216x = 1944

x = 9

Answer:

\((-infinity, +infinity)\)

Step-by-step explanation:

The range is all real numbers because y = x is a line. Lines continue upwards and downwards forever.

Answer:

I think 4/10 pizza he had ate .

The amount of the pizza he ate will be 9 / 40.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

There are ten pieces of pizza.

Anthony ate 1/8 of the pizza for dinner.

Then the amount of pizza left will be

⇒ 1 – 1/8

⇒ (8 – 1) / 8

⇒ 7/8

He ate 3/10 for a bedtime snack.

Then the amount of the pizza will be

⇒ 7/8 – 1/10

⇒ 31/40

The pizza has he eaten in all.

Then the amount of the pizza he ate will be

⇒ 1 – 31/40

⇒ 9 / 40

Then the amount of the pizza he ate will be 9 / 40.

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José would pay less for the Toyota Corolla and more for the Dodge Charger. For the Toyota Corolla, José would pay $9,972.80 and For the Dodge Charger, José would pay $11,888.

A charger is a device used to restore the charge of batteries, such as those found in mobile phones, laptops and other electronic devices. It works by providing a source of power to the device, allowing the device to draw a current from the charger to restore the charge of its battery. Chargers come in various sizes, shapes, and styles, and can be powered by either AC or DC power sources.

If the dealership uses the rule p(r(x)), this means that the coupon code or percent discount is applied first. Therefore, José would pay less for the Toyota Corolla and more for the Dodge Charger.
For the Toyota Corolla, José would pay $9,972.80 (calculated as: 11,500 - (11,500 x 0.14) - 800 = 9,972.80)
For the Dodge Charger, José would pay $11,888 (calculated as: 11,400 + (11,400 x 0.14) - 800 = 11,888).

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