Twenty-six is what percent of 40?

Answer:

Option (4)

Step-by-step explanation:

By applying triangle sum theorem in ΔABC,

m∠A + m∠B + m∠C = 180°

80° + 40° + m∠C = 180°

m∠C = 180° - 120°

m∠C = 60°

Since, ∠ACB ≅ ∠DCE [Vertically opposite angles]

m∠DCE = m∠ACB = 60°

Now by applying triangle sum theorem in ΔCDE,

m∠DCE + m∠CED + m∠CED = 180°

60° + 70° + x° = 180°

x = 180 - 130

x = 50°

Therefore, Option (4) will be the answer.

Answer:

Why is 3 an integer?

They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4

The area of the region enclosed by the curves y=6x² and y=x²+6 is 8.76 unit square and has been drawn.

The definite integral of a function over a limit represents the area under the curve bounded by the limit as given in integration.

As per the given curves,

y=6x² and y=x²+6

The above curves have been drawn.

The intersection points can be calculated by equating both equations as (-1.095,7.2) and (1.095,7.2).

The area enclosed will be as follows,

Area =  \(\int\limits^{1.095}_{-1.095} {[(x^{2}+6)-6x^{2}]} \, dx\)

A = - 5/3[1.095³ + 1.095³] + 6[1.095 + 1.095]

A =  8.76 unit square.

Hence "8.76 unit squares make up the region that is encompassed by the curves y=6x² and y=x²+6".

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The value of the expression 34 - 9 x 2 is 16.

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed in an expression. These rules help to ensure that mathematical expressions are evaluated correctly and consistently. The order of operations is typically summarized by the acronym PEMDAS, which stands for:

Parentheses: Perform operations inside parentheses first.

Exponents: Evaluate exponents (powers and square roots, etc.) next.

Multiplication and Division: Perform multiplication and division, from left to right.

Addition and Subtraction: Perform addition and subtraction, from left to right.

In the given questions,

In this case, there are no parentheses or exponents, so we move on to multiplication before subtraction.

We perform the multiplication first, following the rule of performing multiplication before addition or subtraction.

9 x 2 = 18

Then, we subtract the result from 34:

34 - 18 = 16

Therefore, the value of the expression 34 - 9 x 2 is 16.

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The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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Answer:

hw do you expect anyone to do that

Step-by-step explanation:

Answer:

uh

Step-by-step explanation:

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Answer:

y = -4

Step-by-step explanation:

given x = -1

6x - 7y = 22

6(-1) -7y = 22

-6 - 7y = 22

-7y = 22 + 6

-7y = 28

y = -4

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Answer:

18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors

Step-by-step explanation:

The missing code that can be used to replace / missing code / so that the code segment works as intended is x >= 10.

The code segment is intended to store the sum of all multiples of 10 between 10 and 100, inclusive. The value of x starts at 100 and is decremented by 10 on each iteration of the loop, until it reaches 10. The sum of all the multiples of 10 between 10 and 100 is stored in the variable total.

The missing code in the while statement determines when the loop will stop. If we use x >= 10 as a replacement for / missing code /, the loop will run as long as x is greater than or equal to 10. When x reaches 10, the loop will stop.

Here's the complete code:

int x = 100;

int total = 0;

while(x >= 10)

{

   total = total + x;

   x = x - 10;

}

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Your question is incomplete but probably the complete question is:

Consider the following code segment, which is intended to store the sum of all multiples of 10 between 10 and 100, inclusive (10 + 20 + ... + 100), in the variable total.

int x = 100;

int total = 0;

while( / missing code / )

{

total = total + x;

x = x - 10;

}

Which of the following can be used as a replacement for / missing code / so that the code segment works as intended?

A x < 100

B x <= 100

C x > 10

D x >= 10

E x != 10

Answer:

4

Step-by-step explanation:

208 ÷ 52 = 4

52 × 4 = 208

Hope this helped a little!

208/52

= 4

you could have simply cancelled out or even use a calculator

Answer:

Pamela worked 9 hours if she prepared 72 kilograms of dough.

Step-by-step explanation:

First we divide 72 by 16.

72 ÷ 16 = 4.5

Next we multiply 4.5 by 2.

4.5 * 2 = 9

So, the answer is 9 hours.

Hope this helps! :)

Answer: y = 4(x² − 1)(x² − 4).

Step-by-step explanation:

We need to find the equation of the curve that passes through the point (2, 0).

We start by separating the variables dy/dx and y and integrating both sides:

(2x² - 5) dy/dx = 8x(y + 9)

dy/(y + 9) = (4x/(2x² - 5)) dx

Integrating both sides:

ln|y + 9| = 2ln|2x² - 5| + C

where C is the constant of integration.

Rewriting in exponential form:

|y + 9| = e^(2ln|2x² - 5| + C)

|y + 9| = e^(ln|2x² - 5|² + C)

|y + 9| = k(2x² - 5)²

where k is the constant of integration.

Since the curve passes through the point (2, 0), we can substitute these values into the equation above to find k:

|0 + 9| = k(2(2)² - 5)²

9 = k(36)

k = 1/4

Substituting this value of k back into the equation, we get:

|y + 9| = (1/4)(2x² - 5)²

y + 9 = (1/4)(2x² - 5)² or y + 9 = -(1/4)(2x² - 5)²

Simplifying the right-hand side of each equation, we get:

y + 9 = (1/4)(4x⁴ - 20x² + 25)

or

y + 9 = -(1/4)(4x⁴ - 20x² + 25)

Expanding and simplifying, we get:

y = 4x⁴/4 - 5x²/2 + 25/4 - 9 or y = -4x⁴/4 + 5x²/2 - 25/4 - 9

y = x⁴ - 5x² + 19/4 or y = -x⁴/4 + 5x²/2 - 41/4

Thus, the equation of the curve passing through the point (2, 0) with the given gradient is y = 4(x² − 1)(x² − 4).

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

Answer:

51 over 40. Or

1and 11 over 40 Or

1.275

Answer: $840

Step-by-step explanation:

$839.82 =

$839.82 = $840

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

The equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Let we take:

b = the number of female eastern bluebirds observed

t = the total number of eggs laid

Since the relationship between b and t is forming a line, so it can be modeled by linear equation.

Here, we take 'b' as independent variable,  and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:

\(t = mb + c\)

For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.

Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.

and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5

Thus, the equation is:

\(t = 5b + c\)

At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:

\(5 = 5(1) = c\\c = 5-5=0\)

Thus, the relation between t and b is t = 5b + 0= 5b

Thus, the equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

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Answer:

$ 28,665.11 must be deposited today into the account.

Step-by-step explanation:

Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:

X x (1 + 4/12) ^ 5x12 = 35,000

X x (1 + 0.333) ^ 60 = 35,000

X x (1,333) ^ 60 = 35,000

X x 1.220999 = 35,000

X = 35,000 / 1.22099

X = 28,665.11

Thus, $ 28,665.11 must be deposited today into the account.

The total amount to be paid back to the bank is $6,960

Here, we want to calculate the amount that would be paid back to the bank at the end of the loan tenor

To know the amount, we are going to add up the principal and the accurred interest

The principal refer to the amount borrowed which is $4,350

To calculate the interest, we are going to use the simple interest formula

Mathematically, we have that as;

where;

P represents the principal which is $4,350

R represents the rate which is 15%

T is the time which is 4 years

Substituting these values, we have;

The amount to be paid back is;

The variable a as the subject is a = (P -W)/(W + P)

From the question, we have the following parameters that can be used in our computation:

P=W (1+a)/(1-a)

Cross multiply the equation

So, we have the following representation

P - Pa = W + Wa

Collect the like terms

This gives

Wa + Pa = P - W

So, we have

a(W + P) = P - W

Divide

a = (P -W)/(W + P)

Hence, the solution is a = (P -W)/(W + P)

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Answer:

1

Step-by-step explanation:

x is 1 and y is 1 and the total is three so 1

Answer:  1/ 233856 chance changed to 233856  x 2 = 467712

= 1 / 467712 chance as there are 2 drawings

Workings;

1 and 65 = 64

1 and 65 - 1 ball drawn = 63

1 and 60 -1 = 58

1/64 x 1/63 x 1/58 = 233856

1/4032 x 1/58 and to make these the same we 4038/58 =  69.62

then convert properly = 1/4032  x 69.62/4032 4032 x 4032 = 69.62/16257024 then 16257024/69.62 =233510.83

= 233511 chance if rounding before

1/ (233511 x 2) = 1/467022

Then one part is our actual probability

P) = 1/233856

But as they specified a special drawing

you need to repeat this as 64 x 63 x 58 x 2 as the last one cannot be in 1 drawing it has to be in 2nd drawing

233856  x 2 = 467712

= 1 / 467712 chance not rounding down before hand.

Answer:

50, 65, 82, 101,122,145,170.

Step-by-step explanation:

hope this helps

(Add two to an odd number and continue doing so)

example: 1+1 =2, 2+3 = 5, 5+5 = 10, 10+7 = 17, and so on so forth.