Help solve please show steps

Answer:

B

Step-by-step explanation:

The expression can be written as

[tex]\sqrt{-20}[/tex]

The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression

[tex]2i\sqrt{5}[/tex]

Answer:

Correct option is:

B

Step-by-step explanation:

We have to find a expression which is similar to:

[tex]\sqrt{-20}[/tex]

Now we start solving

[tex]\sqrt{-20}[/tex] could also be written as:

[tex]\sqrt{-2\times 2\times 5}[/tex]

When we take - sign out of the square root it becomes i

i.e. [tex]\sqrt{-1}=i[/tex]

And there are two 2's inside the square root when we take square root it becomes 2

Hence, [tex]\sqrt{-20}=2i\sqrt{5}[/tex]

Hence, Correct option is:

B

Answer:

The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.

⇒The water level in the pool cannot exceed 14 feet.

Step-by-step explanation:

The question is on inequalities

Given;

Length= x ft

depth= x-6  ft

Width= x-8 ft

volume ≤ 1680 ft³

Forming the inequality to find length x of the pool

Volume= base area × depth

base area × depth ≤ volume

x(x-8) × (x-6) = 1680

(x²-8x )(x-6) = 1680

x(x²-8x) -6 (x²-8x)=1680

x³-8x²-6x²+48x=1680

x³-14x²+48x=1680

x³-14x²+48x-1680 ≤ 0

⇒The water level in the pool cannot exceed 14 feet...why?

taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;

d=x-6 = 17-6=11 ft

⇒11 ft is less than 14ft

Answer:

I would say 50%

Step-by-step explanation:

The answer is 50%. Hope that helps!

Identities have INFINITE solutions.

Hope I could help! :)

Answer:

Infinite solution

Step-by-step explanation:

We are given an equation is identity

We have to find that how many solutions equation have

Identity equation:Identity equation is that true equation in which no matter what value is substitute for variable .It is always true statement.

Suppose that we have an identity equation

[tex]x=x[/tex]

[tex]x-x=0[/tex]

[tex]0=0[/tex]

If this type of condition is obtained then we have infinite solutions.

So, if an equation is identity then the equation have infinite solutions.

As for a specific equation, I could not say. However, I can tell you how to find x!

The first thing to remember is that a straight line has a 180 degree angle.

You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!

Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!

However, this angle does not say 146, but makes an extra line between them with x and 56. This means that x + 56 equals 146!

So we can find x by subtracting 56, from 146, which is... 90!

First, set up a proportional fraction.

[tex]\frac{5 sec}{30 gallons}[/tex] = [tex]\frac{x sec}{1gallon}[/tex]

Cross multiply

5 * 1 = 5

30 * x = 30x

So,

30x = 5

Divide 5 by 30

x = 5 / 30

x = 1 / 6 or 0.17

Do the same thing to find for 17 gallons.

30x = 85

x = 85 / 30

x = 17 / 6 or 2.8

Answer:

Step-by-step explanation:

You don't say whether this is compound interest or simple interest.

I will assume it's compounding that interests you.

The appropriate formula is

A = P(1 + r)^t, where r is the interest rate as a decimal fraction, t is the time in years, and P is the original amount.  Thus:

A = $1000·(1 + 0.05)^t, or  A = $1000·(1.05)^t

Please note:  There were apparently possible answer choices.  Next time, please be sure to list such choices.  Thank you.

Final answer:

The equation modeling the value of an investment, V, after t years, for an initial investment of $1,000 at a 5% annual interest rate is V = 1000(1 + 0.05)^t, incorporating the principles of compounding interest.

Explanation:

The question asks about the equation modeling the value of an investment, V, after t years, given an initial investment of $1,000 at a 5% annual interest rate. Using the formula for the future value of a single sum, V = P(1 + r)^t, where P is the principal amount ($1,000), r is the annual interest rate (5% or 0.05), and t is the number of years, we can determine that the equation modeling the value of the investment is V = 1000(1 + 0.05)^t. This formula is applied to calculate the future value of the investment, taking into account the compounding interest over a period t years.

[tex]\bf \cfrac{\textit{Alex's cars}}{\textit{Jim's cars}}=\cfrac{8}{3}\qquad \qquad \cfrac{\stackrel{\textit{40 more than \underline{j}}}{j+40}}{j}=\cfrac{8}{3}\implies 3j+120=8j \\\\\\ 120=5j\implies \cfrac{120}{5}=j\implies 24=j \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Jim}}{j = 24}\qquad \qquad \stackrel{\textit{Alex}}{24+40\implies 64}\qquad \qquad \stackrel{\textit{altogether}}{24+64\implies 88}[/tex]

The total number of cars that Alex and Jim have altogether is 84 cars.

A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number. Sometimes ratios can be expressed in fraction form.

From the given information:

Then, we can express them in fraction form as:

[tex]\mathbf{\dfrac{8}{3} = \dfrac{x +40}{x}}[/tex]

8x = 3(x +40)

8x = 3x + 120

8x = 3x = 120

5x = 120

x = 120/5

x = 24

Jim = x = 24 cars

Alex = x + 40 = 24 + 40 = 64 cars.

The total number of cars they have altogether is 24+64 = 84 cars.

Learn more about ratios here:

https://brainly.com/question/2914376

Answer:

The equation that best describes the situation is:

[tex]g +400 -1800 = 1,500[/tex]

Step-by-step explanation:

The initial amount of gravel is g.

[tex]g[/tex]

Then we know that 400 pounds are added

[tex]g +400[/tex]

Two orders of 900 pounds are sold and the gravel is removed from the mound. This is:

[tex]g +400 -2 * 900[/tex]

[tex]g +400 -1800[/tex]

At the end of the day, the mound has 1,500 pounds of serious. This is:

[tex]g +400 -1800 = 1,500[/tex]

The equation that best describes the situation is:

[tex]g +400 -1800 = 1,500[/tex]

And

[tex]g= 1500 +1800 - 400\\\\g=2900[/tex]

The equation that best describes the given situation is[tex]\rm g + 400 - (2\times 900) = 1500[/tex]  and this can be determined by forming the linear equation with the help of given data.

Given :

Let the initial amount of gravel be 'g'. Then after the addition of 400 pounds of gravel, the total gravel becomes:

= g + 400

Given that two orders of 900 pounds are sold and the gravel is removed from the mound so, the total gravel now becomes:

[tex]\rm = g + 400 - (2\times 900)[/tex]

= g + 400 - 1800

= g - 1400

At the end of the day, the mound has 1,500 pounds of gravel, that is:

g - 1400 = 1500

g = 1500 + 1400

g = 2900

Therefore, the equation that best describe the given situation is:

g + 400 - 1800 = 1500

For more information, refer to the link given below:

https://brainly.com/question/19770987

Answer:

1.A. X6Y5

Step-by-step explanation:

#2 I have no clue on that one.

So sorry but I simply forgot to answer your questions.

The answer to question 1 is A.

The answer to question 2 is D.

Step 1: Subtract 25 to both sides. This will cancel 25 on the left side and bring it over to the right

(25 - 25) - 3x = 40 - 25

(0) - 3x = 15

-3x = 15

Step 2: Isolate x by dividing -3 to both sides (the opposite of multiplication is division).

-3x ÷ (-3) = 15 ÷ (-3)

x = -5

Check:

25 - 3(-5) = 40

25 + 15 = 40

40 = 40 ....................................Correct!

Hope this helped!

The value of x in this equation is -5.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation in algebra.

Equation given in the question:

25 - 3x = 40

25 - 40 = 3x

-15 = 3x

x = -5

The value of x in this equation is -5.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ2

Credit cards offer more flexibility compared to other payment methods.

The correct answer is

A: more flexibility.

A: more flexibility - Credit cards provide users with the flexibility to make purchases without needing to have the full amount of money upfront. Instead, they can borrow funds up to a certain limit, known as the credit limit, and repay them later, often with interest. This flexibility allows cardholders to manage their cash flow more effectively and make purchases even when they may not have sufficient funds available in their bank account.

B: purchases are automatically deducted - This feature describes a debit card rather than a credit card. With a debit card, purchases are automatically deducted from the linked bank account at the time of the transaction, meaning that the cardholder needs to have sufficient funds available in their account to cover the purchase.

C: requires a linked bank account - While credit cards may require applicants to have a bank account for verification purposes, they do not necessarily need to be linked to a specific bank account for transactions to be processed. Credit cards operate on a revolving line of credit extended by the issuer, allowing cardholders to borrow money up to a certain limit regardless of their bank account balances.

D: similar to cash - Credit cards are not similar to cash. Unlike cash, which involves immediate payment and does not incur any interest charges, credit cards allow users to defer payment for purchases and may accrue interest if the balance is not paid in full by the due date. Additionally, credit cards offer various benefits such as rewards, cashback, and purchase protection, which are not typically associated with cash transactions.

Therefore the correct option is A: more flexibility

Complete question

Which of the following is a feature of a credit card?

A: more flexibility

B: purchases are automatically deducted

C: requires a linked bank account

D: similar to cash

Final answer:

To calculate the number of complete revolutions a bicycle wheel makes after traveling 440 meters, we find the wheel's circumference using its diameter and then divide the travel distance by the circumference. With a diameter of 0.7 meters and using 22/7 as an approximation for π, the wheel's circumference is 2.2 meters. The wheel makes 200 complete revolutions to cover 440 meters.

Explanation:

Finding the Number of Complete Revolutions

To find the number of complete revolutions made by a bicycle wheel when the bicycle travels a certain distance, we firstly need to calculate the circumference of the wheel. The circumference 'C' of a circle can be found using the formula C = πd, where π (Pi) is a constant (approximately 22/7 or 3.14) and 'd' is the diameter of the circle. In this case, we are given that the diameter of the bicycle wheel is 0.7 meters.

Using the approximation for π of 22/7 and the given diameter, the circumference is: C = π × d = (22/7) × 0.7 meters = 2.2 meters.

To find the number of complete revolutions 'N', we divide the total distance the bicycle travels by the circumference of the wheel: N = total distance / circumference = 440 meters / 2.2 meters. So, the number of complete revolutions the wheel makes is 200.

The answer would be 0.6 if you divide 21/35.

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

To simplify divide the numerator/denominator by the highest common factor of 21 and 35, that is 7

[tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] ← in simplest form

Answer:

θ = π/3, 5π/3

Step-by-step explanation:

2 cos θ - 1 = 0

2 cos θ = 1

cos θ = 1/2

θ = π/3, 5π/3

ANSWER

EXPLANATION

The given trigonometric equation is:

[tex]2 \cos( \theta) - 1 = 0[/tex]

[tex] \implies \: 2 \cos( \theta) = 1[/tex]

[tex]\implies \: \cos( \theta) = \frac{1}{2} [/tex]

The cosine ratio is positive in the first and fourth quadrants.

In the first quadrant,

[tex]\theta = \cos ^{ - 1} ( \frac{1}{2}) [/tex]

[tex]\theta = \frac{\pi}{3} [/tex]

In the fourth quadrant,

[tex]\theta =2 \pi - \cos ^{ - 1} ( \frac{1}{2}) [/tex]

[tex]\theta =2 \pi - \frac{\pi}{3} [/tex]

[tex]\theta = \frac{5\pi}{3} [/tex]

Therefore on the interval, [0,2π] the solution to the given trigonometric equation is:

[tex]\theta = \frac{\pi}{3} \: and \: \frac{5\pi}{3} [/tex]

Answer:

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

f(t - 3) = 4t² - 24t + 36 - 8t + 28

f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

Answer:

£270

Step-by-step explanation:

Works 7.5 hours per shift and there are 5 shifts in a week, hence

hours worked per week = 7.5 × 5 = 37.5

Pay per hour = £7.20, thus

Earnings for a week = 37.5 × 7.20 = £270

Answer:

The trip lasted for a total of 8 hours.

Step-by-step explanation:

Distance planned = S = 640 miles

Constant speed = V

Thus the time to be taken would be = T = V/S

We have an equation 640 = VT ----- eq (a)

Time For First Quarter = T/4

speed = V

Distance = 640/4 = 160

After first quarter, there is a rest of 1.2 hours and to complete his trip on time, he increased the velocity by 20 mph.

So, the remaining distance = 640 - 160 = 480 miles.

Speed = V + 20 mph

Time remaining = [(T-T/4) - 1.2] = 3T/4 - 1.2 hours

We have an equation for remaining distance s = vt

=> 480 = (V+20)(3T/4 - 1.2) ----- eq (b)

using eq (a), we have V = 640/T. Putting it in eq (b), we have:

[tex]480 = (\frac{640}{T} + 20)(3\frac{T}{4} - 1.2)\\480 = 480 - \frac{768}{T}  + 15T - 24\\=> 15T - \frac{768}{T} -24 = 0\\=> 15T^{2} - 24T - 768 = 0\\[/tex]

Solving the equation, we get T = 8 or T = -32/5(which is not possible.

So, the right answer is T = 8 hours

Answer:

z = 19

Step-by-step explanation:

Given

2(4z - 9 - 7) = 166 - 46 ← simplify both sides

2(4z - 16) = 120 ← distribute parenthesis on left side

8z - 32 = 120 ( add 32 to both sides )

8z = 152 ( divide both sides by 8 )

z = 19

Answer:

z = 19.

Step-by-step explanation:

2(4z − 9 − 7) = 166 − 46

 2(4z − 9 − 7) = 120

Divide both sides by 2:

4z − 9 − 7 = 60

4z = 76

z = 19.

Answer:

Probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]

Step-by-step explanation:

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = [tex] \frac { 3 } { 5 2 } [/tex]

3 chances of jacks out of 52 cards

Answer:

[tex]30+42=6(5+7)[/tex]

Step-by-step explanation:

Let [tex]a,b,c\in \mathbb R[/tex], according to the distributive property:

[tex]a(b+c)=ab+ac[/tex]

The prime factorization of 30 is

[tex]30=2\cdot 3\cdot 5[/tex]

The prime factorization of 42 is

[tex]42=2\cdot 3\cdot 7[/tex]

The Greatest common factor is [tex]2\times 3=6[/tex]

[tex]\implies 30+42=6\times5+6\times7[/tex]

[tex]\implies 30+42=6(5+7)[/tex]

Answer:

Step-by-step explanation:

6(5+7

the correct answer is OB. 7.

Final answer:

To convert the decimal 0.612 to a fraction, express it as 612/1000 and then divide both the numerator and the denominator by their greatest common divisor, which is 4, to get the simplified fraction 153/250.

Explanation:

To rewrite 0.612 as a simplified fraction, one can first recognize that it's equivalent to 612/1000. After realizing that, we can simplify the fraction by finding the greatest common divisor (GCD) of both the numerator and the denominator. In this case, the GCD of 612 and 1000 is 4. Hence, we can divide both numerator and denominator by 4 to simplify the fraction.

Dividing both 612 and 1000 by 4, we obtain 153/250. So, 0.612 as a simplified fraction is 153/250.

119 square inches long

Answer:

119

Step-by-step explanation:

(✿◠‿◠)

Answer:

Population size:10

Mean (μ): 16

Mean Absolute Deviation (MAD): 7.2

Step-by-step explanation:

Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. ... Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Answer:

The dog should receive 400 mL of the i.v. bag.

Step-by-step explanation:

40% x 1000 = 400

Answer:

Step-by-step explanation:

Givens

To know how many mL the dog received, we just need to find the 40% of 100 mL.

We know that 40% equals 0.40, then we multiply it

[tex]0.40(1000mL)=400mL[/tex]

Therefore, the dog received 400mL

Answer:

A

Step-by-step explanation:

Define each of the terms.

f(x) is the total level of radioactivity.

x is the total number of weeks.

[tex]\frac{1}{2}[/tex] is the weekly decay factor.

30 is the initial level of radioactivity.

4+96=100 when you follow PEMDAS

Answer:

c) 100

Step-by-step explanation:

We want to evaluate

[tex]4\times1+6\times 16+0[/tex]

We use the order of operations, PEDMAS to solve this problem.

The first step here is to multiply to get:

[tex]4+96+0[/tex]

We now add to obtain:

[tex]100[/tex]

The correct answer is C) 100

Answer:

The volume of the pyramid is [tex]130\frac{2}{3}\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base

H is the height of the pyramid

Find the area of the base B

In this problem we have a square base

[tex]B=7^{2} =49\ units^{2}[/tex]

we have

[tex]H=8\ units[/tex]

substitute

[tex]V=\frac{1}{3}(49)(8)=\frac{392}{3}\ units^{3}[/tex]

Convert to mixed number

[tex]\frac{392}{3}=\frac{390}{3}+\frac{2}{3}=130\frac{2}{3}\ units^{3}[/tex]

you do length x width x be aight divided by 3 to get 392/3

Answer: 1.8

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

(67 degrees - 58 degrees) / 5 minutes

1.8 degrees per minute