Rationalize the dencminator.
5−
2
​

4
​
A.
23
20−4
2
​

​
B.
5
4
​
−
2
​

4
​
c.
23
20+4
2
​

​
D.
3
20+4
2
​

​

Answer:

D is the answer for the question

Answer:

Chemical Change-

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

Answer:

The scale factor should be 1:2 cause from 2.1 to 4.2 is doubled and so is 7.5 to 15 and 5.5 to 11.

Step-by-step explanation:

Hope this helps!

Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = \(\frac{1}{50}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  \(\frac{1}{50}\)

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Answer:

81x³ + 54x³i

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

a³b

a = -3x

b = -3 - 2i

Step 2: Expand

As per the division method, the quotient is 57 and the remainder is 34

Division method:

Division is the term that is referred as the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

The four main parts of division are dividend, quotient, remainder and divisor.

Given,

Here we have the expression 3,397 ÷ 59.

Now, we have to solve this one and we have to find the solution of it.

In order to solve this we have to follow the below steps:

1) Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.

2) 59 goes into 339 (5-times). Put a 5 in the next place of quotient and multiply 59 by 5 to get 295. Subtract 295 from 339 to get remainder (339-295=44).

3) Now, bring down 7 from the dividend, to make 447. 59 goes into 447 (7-times). Put a 7 in the next place of quotient and multiply 59 by 7 to get 413. Subtract 413 from 447 to get remainder (447-413=34).

The process of division is illustrated below.

Therefore, the quotient is 57 and the remainder is 34.

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The coins used for buying hot chocolate are 8 dimes and 4 nickels.

What are dimes and nickels?

The size of the nickel and dime coins is different, yet they are both silver in color. The dime is smaller than the nickel coin, but having a higher value. The value of each coin can be used to calculate the sum of several coin combinations.

We are given that hot chocolate is bought for $1.00 and only two kinds of coins to make $1.00 with exactly 12 coins.

We know that the value of a nickel is five cents, while that of a dime is ten cents. A dime is therefore equivalent to two nickels in value. The value of a nickel is therefore equal to half the value of a dime.

So, we get that he used 4 nickels and 8 dimes which make 12 coins and 100 cents which is equal to $1.

Hence, the coins used for buying hot chocolate are 8 dimes and 4 nickels.

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A relation R on Z is an equivalence relation if and only if it is reflexive, symmetric, and transitive. Specifically, in this case, xRy if and only if x^2+y^2 is even.

Reflexive: for any x in Z, x^2+x^2 is even, thus xRx. So, R is reflexive.

Symmetric: for any x,y in Z, if xRy, then x^2+y^2 is even, which implies y^2+x^2 is even, thus yRx. So, R is symmetric.

Transitive: for any x,y,z in Z, if xRy and yRz, then x^2+y^2 and y^2+z^2 are both even, thus x^2+z^2 is even, thus xRz. So, R is transitive.

Therefore, R is an equivalence relation.

To describe the equivalence classes, we need to find all the integers that are related to a given integer x under the relation R.

Let [x] denote the equivalence class of x.

For any integer x, we can observe that xR0 if and only if x^2 is even, which occurs when x is even.

Therefore, every even integer is related to 0 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any even integer x.

Similarly, for any odd integer x, we can observe that xR1 if and only if x^2 is odd, which occurs when x is odd. Therefore, every odd integer is related to 1 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any odd integer x.

In summary, the equivalence classes of R are of the form {x + 2k: k in Z}, where x is an integer and the parity of x determines whether the class contains all even or odd integers.

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Answer:

It's A. ok?Hope I can help!UWUUWUWUWU

Answer:

the other 3 sides are 125,55 and 55 - hope this helped :)

Step-by-step explanation:

side 1 = 125

side 2 = 125

side 3 and 4 = ?

360 - 250 = 110

110/2 = 55

side 3 and 4 = 55

W=130

Step-by-step explanation:

the question giving says_W=130and if minus is crossing to the other side it becomes+

Answer:

C.

Step-by-step explanation:

The answer is C

The final result of the expression is -12,173/10,083. First, let's find the sum of 2/9 and -3/7. To add fractions, we need a common denominator. The least common multiple of 9 and 7 is 63.

To simplify the given expression, let's break it down step by step:

The sum of 2/9 and -3/7 is:

(2/9) + (-3/7)

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 9 and 7, which is 63.

(2/9) + (-3/7) = (2 * 7)/(9 * 7) + (-3 * 9)/(7 * 9)

= 14/63 - 27/63

= (14 - 27)/63

= -13/63

The difference of 3/7 and -13/23 is:

(3/7) - (-13/23)

Again, we need a common denominator, which is the LCM of 7 and 23, which is 161.

(3/7) - (-13/23) = (3 * 23)/(7 * 23) - (-13 * 7)/(23 * 7)

= 69/161 + 91/161

= (69 + 91)/161

= 160/161

Now, we subtract the second result from the first result:

(-13/63) - (160/161)

To subtract fractions, we need a common denominator, which is the LCM of 63 and 161, which is 10,083.

(-13/63) - (160/161) = (-13 * 161)/(63 * 161) - (160 * 63)/(161 * 63)

= -2,093/10,083 - 10,080/10,083

= (-2,093 - 10,080)/10,083

= -12,173/10,083.

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Check the picture below.

Answer:

chemistry books is 220 and number of biology books is 220

Step-by-step explanation:

let y be biology books

let x be the number of chemistry books

x-58=y

equation 1 ) x+y=382

sub in x-58 for y

2. x+(x-58)=382

3. 2x-58= 382

4. 2x=382-58

5. 2x = 324

6. x/2 =324/2

7. x = 162

for x=y+58

y=162

x 220

220+162=382

y+x=382

it is given

a II b and b II c

and c perpendicular to d

as a is parallel to b and b is parallel to c ,

so a would-be parallel to c also, but c is perpendicular to d

so, a also will be perpendicular to d.

so the answer is

a is perpendicular to d

Answer:

Step-by-step explanation:

Answer:

last choice

x + 1/2 < 1 \(\frac{1}{10}\)

Step-by-step explanation:

x + 1/2 < 1 \(\frac{1}{10}\)

x <  1 \(\frac{1}{10}\) - 1/2

x < 11/10 - 5/10

x < 6/10

x < 0.60

Answer:

D

Step-by-step explanation:

Plot the function

on the graph to Justify that graph intersect the x-axis.

So from the graph it can be justify the function intersect the x-axis at point (1.262,0).

Answer:

(3,5)

Step-by-step explanation:

If you imagine a grid in your head, moving 3 units to the right is the same as 3 on the x axis, and 5 units above the x axis is the same as 5 on the y axis. X goes before y in an ordered pair, so the answer would be (3,5). Hope this helps!!

At a significance level of 0.01, coefficients that have p-values less than 0.01 are considered significantly nonzero. These coefficients indicate a statistically significant relationship between the predictor variable and the response variable.

To determine which coefficients are significantly negative, we need to look at the sign of the coefficient estimate. If the coefficient estimate is negative and the p-value is less than 0.01, we can conclude that the coefficient is significantly negative.

In regression analysis, the p-value represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. If the p-value is less than the significance level (0.01 in this case), we reject the null hypothesis and conclude that the coefficient is significantly different from zero. Additionally, the sign of the coefficient tells us the direction of the relationship. A negative coefficient suggests a negative relationship between the predictor and the response variables. Therefore, coefficients with p-values less than 0.01 and a negative estimate are significantly negative.

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Answer:

If there are 324 paving stones, it will cost $1539

Step-by-step explanation:

324 x 4.75 = 1539

It will take approximately 6.2 years for the account to grow to $14500 when $9000 is invested at 8% interest compounded annually.

The compound interest formula is expressed as:

\(A = P( 1 + \frac{r}{t})^{nt}\)

\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\)

Where A is accrued amount, P is the principal, r is the interest rate and t is time.

Given that:

Principal P = $9,000, compounded annually n = 1, interest rate r = 8%, Accrued amount A = $14500.

Plug these values into the above formula and solve for time t.

\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{1*[In(1 + \frac{0.08}{1} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1 + 0.8 )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1.8 )]}\\\\t = 6.197 \ years\)

Therefore, the time required is 6.197 years.

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Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is \(y \le \frac 12x + 3\)

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{3 -4}{0-2}\)

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

\(m = \frac{1}{2}\)

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

\(y \le mx + b\)

So, we have:

\(y \le \frac 12x + 3\)

Hence, the linear inequality is \(y \le \frac 12x + 3\)

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The equation of the line that passes through the points (-2,-6) and (1,2) is y = 8x/3-2/3.

According to the question,

We have the following information:

Points through which line is passing =  (-2,-6) and (1,2)

Now, we have the following values:

x1 = -2, y1 = -6

x2 = 1 and y2 = 2

We know that the following formula is used to find the slope of the line:

m = (y2-y1)/(x2-x1)

m = (2+6)/(1+2)

m = 8/3

Now, the following formula is used to find the equation of the line:

y-y1 = m(x-x1)

y+6 = 8/3(x+2)

y+6 = 8x/3+16/3

Subtracting 6 from both sides:

y = 8x/3+16/3-6

y = 8x/3-2/3

Hence, the equation of the line that passes through the points (-2,-6) and (1,2) is y = 8x/3-2/3.

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Answer:

Step-by-step explanation:

D think is your answer

The value x = -3 is a solution for the inequality at option C.

-x - 6 > -3.5

To check this, we just need to evaluate the given inequalities in x = -3, then we can see if the inequality is true or false.

For example, the first one:

-4 - 6 < -3.5

Does not depend on x, so we can ignore that.

The next one is:

-r - 6 > 3.5

Evaluating it on -3 we get:

3 - 6 > 3.5

-3 > 3.5

this is false.

The next one is:

-x - 6 > -3.5

Evaluating we wll get:

3 -6 > -3.5

-3 > -3.5

This is true, so this one is the correct option.

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