Which expression is equivalent to √100 +4√10 +3 −8 √10?
1) −4√10 + 13
2) 10 − √10
3) 3 − 2√10
4) √10

The correct solutions for the given quadratic equation are x ≈ 7.82 and x ≈ -0.82.

To find the solutions of the quadratic equation x² = 7x + 4, we can rearrange the equation to bring all the terms to one side:

x² - 7x - 4 = 0

Now, we can solve this quadratic equation using various methods, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

The quadratic formula states that for an equation in the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing the given equation x² - 7x - 4 = 0 to the standard quadratic form ax² + bx + c = 0, we have a = 1, b = -7, and c = -4.

Plugging these values into the quadratic formula, we get:

x = (-(-7) ± √((-7)² - 4(1)(-4))) / (2(1))

 = (7 ± √(49 + 16)) / 2

 = (7 ± √65) / 2

Therefore, the solutions of the quadratic equation x² = 7x + 4 are:

x = (7 + √65) / 2

x = (7 - √65) / 2

Approximating these values, we find:

x ≈ 7.82

x ≈ -0.82

So, the solutions of the quadratic equation x² = 7x + 4 are approximately x = 7.82 and x = -0.82.

In the given answer choices:

-7, 0: These values do not correspond to the solutions of the quadratic equation x² = 7x + 4.

7, 0: These values also do not correspond to the solutions of the quadratic equation x² = 7x + 4.

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Answer:

23000

Step-by-step explanation:

The 10^4 indicates that the decimal moves to the right 4 times. So 2.3 x 10^4 to standard/regular form would be 23000.

The ordinary form of : \(2.3* 10^{4}\) is 2,30,000

Standard form is like scientific notation and is typically used in science and engineering. A number is written in standard form when it is represented as a decimal number times a power of 10.

The number is in standard form is : \(2.3* 10^{4}\)

\(2.3* 10^{4}\) = 2.3 x 10000

            = 2,30,000

The standard form of : \(2.3* 10^{4}\) is 2,30,000

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Answer:

H, 4 cards

Step-by-step explanation:

There are ten cards in the deck so you convert the fraction into tenths.

2/5 = 4/10 therefor its 4 cards

Step-by-step explanation:

Let √2 + √3 be a / b.

a and b are co - primes.

a and b have 1 as a common factor.

√2 + √3 = a / b

( √2 + √3 )^2 = ( a / b )^2

(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2

2 + 3 + 2.√2.√3 = a^2 / b^2

5 + 2.√2.√3 = a^2 / b^2

2.√2.√3 = ( a^2 / b^2 ) - 5

2.√2.√3 = ( a^2 - 5b^2 ) / b^2

√2.√3 = ( a^2 - 5b^2 ) / 2b^2

a and b are not co - primes, as they more than 1 as a common factor.

So,

√2 + √3 is irrational.

Hence, proved.

To convert milligrams per liter (mg/L) to micrograms per fluid ounce (µg/fl oz), we can use the conversion factor of 29.5735.

This conversion factor takes into account the difference in volume between a liter and a fluid ounce.

1 fl oz = 29.5735 mL

1 L = 1000 mL

So, to convert from milligrams per liter to micrograms per fluid ounce, we divide by 29.5735 and multiply by 1000:

(mg/L) * 1000 / 29.5735 = (µg/fl oz)

Therefore, to convert a value x from milligrams per liter to micrograms per fluid ounce:

x (µg/fl oz) = x (mg/L) * 1000 / 29.5735

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Answer:

$20/mile

Step-by-step explanation:

I'm assuming you're looking for the slope so if that's it, your answer would be $20/per mile walked

Answer:

x=3

Step-by-step explanation:

1. Rearrange terms

1 - 6x = -17

-6x + 1 = -17

2. Subtract 1 from both sides of the equation (we want to get rid of 1)

3. Simplify

In the end, you should get x=3.

The rate of interest at which Dylan invested is 3.09%.

The practice of adding interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the collateral for the loan rather than paid out, or when the borrower is forced to pay it, resulting in interest being created on the principal amount plus any accumulated interest the following period. Compound interest is a prominent concept in finance and economics.

Compound interest allows interest to accumulate over time, in contrast to simple interest, which does not compound because past interest is not returned to the principle for the present period.

principal =360

time =5 years

n=5×4=20 (compounded quarterly)

Amount = 420

Now: 420 = 360(1+r)²⁰

solving for r we get:

r= 0.007737

required rate percent = 0.007737×4 = 0.00193 × 100 = 3.09%

hence the simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year is 3.09%.

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Answer:

Below

Step-by-step explanation:

All you need to do to find angle x is to subtract 48 from 90 :)

So, 90 - 48 = 42

Angle x = 42 degrees

Hope this helps!

Answer:

anglePQR+anglePQS=90

or,48 degree+x=90

or,x=90-48

or,x=42

therefore the value of x is 42 degree

Step-by-step explanation:

Answer:

No its 2 so the red one...........

Answer: 5

Step-by-step explanation:

The expression (y^2)(y^-4) simplifies to y^-8.

To calculate the expression (y^2)(y^-4), we apply the rule of multiplying exponents. When we multiply two powers with the same base, we add their exponents. In this case, y^2 multiplied by y^-4 can be simplified as y^(2 + (-4)), which simplifies further to y^-2.

Next, we calculate b^-6 using the rule of negative exponents. When a base is raised to a negative exponent, it is equivalent to taking the reciprocal of the base raised to the positive exponent. Hence, b^-6 is equal to 1/(b^6).

Combining the results, we have (y^-2) multiplied by (1/(b^6)), which can be further simplified using the rule of multiplying exponents. Thus, (y^-2)(1/(b^6)) becomes y^(-2 - 6), resulting in y^-8.

Therefore, the expression (y^2)(y^-4) simplifies to y^-8.

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Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

Andrew has to pay his school loan debt of $4,000

The interest rate on the loan is 5 percent.

So, \(\frac{5}{100}\) ($20,000)

= $1.000

The loan term is 4 years.

So, (4) ($ 1.000) = $4.000

There are several options for this question:

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Answer:

\( \sqrt{50} + \sqrt{18} - 8 \sqrt{2} \\ \\ 5 \sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} \\ \\ 8 \sqrt{2} - 8 \sqrt{2 } \\ \\ = 0\)

Given the expression:

\( \displaystyle \large{ \sqrt{50} + \sqrt{18} - 8 \sqrt{2} }\)

Since we have 2 in the square root from 8√2. We will be converting terms in √2 form so we can. evaluate.

As we know, 50 comes from 5×10 = 5×5×2

and 18 comes from 9×2 = 3×3×2.

\( \displaystyle \large{ \sqrt{5 \times 5 \times 2} + \sqrt{3 \times 3 \times 2} - 8 \sqrt{2} }\)

In the square root, if there are two same numbers, we can pull it out as one.

Ex. √5×5 would be 5. Refer to below:

\( \displaystyle \large{ \sqrt{a \times a} = \sqrt{ {a}^{2} } = |a| }\)

Since there are two fives and two threes in the square root, we pull these numbers out only one.

\( \displaystyle \large{ 5\sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} }\)

Because these terms have the same square root of 2, we can evaluate 5+3-8.

\( \displaystyle \large{ 8 \sqrt{2} - 8 \sqrt{2} } = 0\)

Of course, like term - like term = 0

Hence, the answer is 0.

Answer:

I think it is D I'm not sure

Step-by-step explanation:

If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV

Answer: Taxi Company A charges $4 plus $0.50 per mile.

Step-by-step explanation: Even though it might seem that this company A takes more per mile though its gonna cost less in the total end

Ernie has a conviction for marijuana use in his past. for the first three years of his employment, he had to submit to monthly drug testing. after three years of being clean, his employer changed the requirement to a random test twice a year. this change is an example of Negative Reinforcement.

Negative Reinforcement:

Negative reinforcement is one method that can be used to teach specific behaviors. Negative reinforcement removes discomfort or unpleasantness in response to a stimulus. It is said that as time goes on, target behavior increases in the hope that the objectionable will be removed.

Negative reinforcement reinforces a particular behavior by removing some kind of aversive consequences. As a form of reinforcement, it reinforces antecedent behaviors. In negative reinforcement, it is the action that removes the unwanted outcome or stimulus that serves as the reward for performing the action.

There are two types of negative reinforcement: example learning and avoidance learning. Avoidance learning is the escape from unwanted stimuli, and avoidance learning is the complete avoidance of experiencing aversive stimuli.

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I suspect you meant

"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"

• Count the multiples of 10:

⌊100/10⌋ = ⌊10⌋ = 10

• Count the multiples of 7:

⌊100/7⌋ ≈ ⌊14.2857⌋ = 14

• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and

⌊100/70⌋ ≈ ⌊1.42857⌋ = 1

(where ⌊x⌋ denotes the "floor" of x, meaning the largest integer that is smaller than x)

Then using the inclusion/exclusion principle, there are

10 + 14 - 1 = 23

numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.

The empirical formula of the compound is CCl3.

To determine the empirical formula of the compound based on the given percentages, we need to convert the percentages to moles and find the simplest whole number ratio between the elements.

Assume we have a 100g sample of the compound. This means we have 7.808g of carbon and 92.19g of chlorine.

Convert the masses to moles using the molar masses of carbon (C) and chlorine (Cl).

Moles of C = 7.808g C / molar mass of C

Moles of Cl = 92.19g Cl / molar mass of Cl

Divide the number of moles by the smallest number of moles to obtain the mole ratio.

Mole ratio of C : Cl = Moles of C / Smallest number of moles

Mole ratio of C : Cl = Moles of Cl / Smallest number of moles

Find the simplest whole number ratio by multiplying the mole ratio by the appropriate factor to obtain whole numbers.

The resulting whole number ratio represents the empirical formula of the compound.

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Step-by-step explanation:

Well....AD  and AB are equal in length

2x+3 = 11

2x = 8

x = 4    units

Answer:

8.6

Step-by-step explanation:

https://www.you.tube.com/watch?v=32gDF10ZXOA

( it might be wrong pls dont report me just let me kno y its wrong )

Answer:

8.6

Step-by-step explanation:

First of all consider the thousands in the decimal which is 2. Since 2 is not greater than 5 we have to remove the number 2 and 3 from the 8.6023.

We're left with 8.60. Now we see that there's a 0 in the hundredths so since it's not greater than 5 we remove it.

Now we're left with 8.6 which is to the nearest tenth.

Answer:

442

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

5 is lower than a 90* angle

if this is wrong I'm very sorry.

Answer:

A ) -4/3

how to calculate slope-

(Y2 - Y1) / (X2 - X1)

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, 3) and (x₂, y₂ ) = (3, - 9) ← 2 points on the line

m = \(\frac{-9-3}{3+6}\) = \(\frac{-12}{9}\) = - \(\frac{4}{3}\) → A

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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8² = 64 , 5² = 25 and 13² = 169 . A number that has been multiplied by itself produces a square number.

8² = 8 × 8 = 64 , 5² = 5 × 5 = 25 and 13² = 13 × 13 = 169 . Informally: A square number, perfect square, or simply "a square" is what is produced when you multiply an integer (a "whole" number), positive, negative, or zero, times itself. So all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so forth.

Similar to numbers like 2, 3, 5, 6, 24, 13, 125, etc., 12, however, is not a square. Consequently, its simplicity is somewhat usual. nevertheless, are 4, 16, 25, 81, 121, and other numbers. It is incorrect to say that the number 14 is a perfect square because it cannot be written as the product of two equal numbers. If n is a number, then n2 stands in for n.

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Answer:

B

Step-by-step explanation:

in the picture and they go straight done

Answer:

a have a nice day

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

fourth root of 12*13^3          

--------------------------------

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Hi!

To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:

Now, when we plug it in the equation, it looks like this:

\(\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5\)

Therefore, your answer is 346.5 or, rounded, 347.

Meaning, your answer is C

Hope this helps and have a great day! :D