What is the sum of all the whole numbers from 1 to 1000?

Answer:

Part A: 135 + 45 = 180 180 is a supplementary angle

Part B: answer: ∠B = 45 ∠A = 135

Answer:

3/8 or a a decimal 0.375

Answer:

B

Step-by-step explanation:

First find the third angle straight linear make 180° so

180°-115°=65°

So 80°+65°+X=180°..triangle measure 180°

145°+X=180

X=180-145

X=35°

The second one. Again straight linear measure 180° so

180°-115°=65°

65°+85°+ Y=180°

150°+ Y=180°

X=180°-150°

Y=30°

Answer:

Area= 28 cm^2

Step-by-step explanation:

The formula for area of a triangle is A= 1/2b*h. So 7 x 8=56 and 56/2= 28. Answer is 28.

Answer: 180 meters

Step-by-step explanation: To solve this we need to find the square root of 3600. 6x6 = 36 so we know the square root is 60. That means that each side of the square lot is 60 meters. If they fence 3 sides they will need to purchase 60x3= 180 meters of fence.

By adding up all the possible ways to distribute the coupon and subtracting it from the possible ways to distribute the 10 coupons to the 15 men, we can determine the total number of ways at least a woman can receive a coupon.

- The entire number of options for dividing the coupons among the 20 customers is the same as the total number of ways to choose a subset of 10 items from a set of 20.

In other terms, 20/10 = 20!/ 10!10 is the combinatorial number of 20 and 10.

- We must use the same calculation as above, but with a set of 15 items rather than 20, to get the total number of alternatives for distributing the coupons among the 15 males.

We now have 15/10, which is 15!/10!5! possibilities.

To ensure that at least one woman receives a coupon, we have 20/10 - 15/10 distribution options.

A combination is made up of r items chosen without replacement from a set of n items, where the order is irrelevant.

The amount of circular permutations of n other objects, taken r at a time, is nPr 2r if clockwise and anti-clockwise configurations are not considered to be distinct. Combinations are various groups or choices made from a variety of items, either all or some of them.

To know more about Permutation Combinations visit:-

https://brainly.com/question/13387529

#SPJ4

The value of C is 2^10 * 3 * 5^6. When multiplied by 18, the result can be expressed as a product of prime factors in index form.

Let's first simplify the expression for C:

C = 2^10 * 3 * 5^6

Now, we need to find 18C. We can rewrite 18 as a product of its prime factors:

18 = 2 * 3^2

Multiplying 18 by C, we get:

18C = (2 * 3^2) * (2^10 * 3 * 5^6)

To simplify this expression, we can combine the common factors:

18C = 2^(1+10) * 3^(2+1) * 5^6

Simplifying further:

18C = 2^11 * 3^3 * 5^6

So, the product of prime factors in index form for 18C is 2^11 * 3^3 * 5^6. This means that 18C can be expressed as the product of 2 raised to the power of 11, multiplied by 3 raised to the power of 3, multiplied by 5 raised to the power of 6.

Learn more about  prime factors here:

https://brainly.com/question/29763746

#SPJ11

The probability that the greater of the two random variables will surpass the population median is just 0.5 because both events are mutually exclusive.

The i.i.d means two random variable where there is an equal chance that one will be greater then the other.

So, it means there is 50% chances for both of them to be greater then the median.

The probability that the greater of the two random variables will surpass the population median is just 0.5 because both events are mutually exclusive. This conclusion is valid as long as the variable are given to be continuous and i.i.d.

To know more about probability, visit,

https://brainly.com/question/24756209

#SPJ4

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

A() it is located _25 and is the right of point A on the number line

Answer:

The Answer is C

Step-by-step explanation:

so if u draw out a number line, point A will be on the left side of the number line or in this case "0". So it is saying "point b is 5 less than point A" so since Point A is "-20" and it says "5 less than point A" so it would be adding up 5 more to -20 so it would be -25. But if it was 5 more than point A it would have been -15. If u take an example of money, like if u owe someone $20, it would be -$20 in your balance, and if he or she says u need to owe me 5 more $'s cuz there was damage now in your balance it would be -25.

**PS: mark me the brainliest, and make sure you practice more of these question**

Answer:

the answer is -2

=)

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=11

Answer:7

Step-by-step explanation:

100/20 = 5

35/5 = 7

Answer: [D] 2(36-12)

Step-by-step explanation:

    First, we will simplify the given expression.

38 – 14 = 24

    Now, we will see if the other expressions are equivalent or not.

[A] 2(19-7) = 24

[B] 24 = 24

[C] (19-7)2 = 24

[D] 2(36-12) = 48

    The expression is NOT equivalent to the expression 38 – 14 is;

                   [D] 2(36-12)

Hi :)

Let's evaluate all these expressions

\(\boldsymbol{\boxed{38-14=24}}}\)

  So Now the question boils down to --

What expression is NOT equivalent to \(\boldsymbol{24?}\)

     \(\boldsymbol{2(19-7)}\)

     \(\boldsymbol{2(12)}\)

     \(\boldsymbol{24}\)

Option (A) is ruled out, because we're looking for expressions that are not equivalent to 24.

   Well 24 is always equal to 24!

     \(\boldsymbol{(19-7)2}\)

     \(\boldsymbol{(12)2}\)

     \(\boldsymbol{24}\)

    \(\boldsymbol{2(36-12)}\)

     \(\boldsymbol{2(24)}\)

     \(\boldsymbol{48}\)

\(\tt{Learn\;More;Work\;Harder}\)

:)

In order to determine the integer that makes true the given expression:

______ x 7 = -14

consider that such integer must be equal to the quotient between -14 and 7:

-14/7 = -2

In fact, you have:

-2 x 7 = -14

Hence, the integer is -2

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

Learn more about Perimeter of rectangle at:

https://brainly.com/question/22109593

#SPJ4

the number of different furniture sets the Robinson family can select is n * m * p.

To determine the number of different furniture sets the Robinson family can select, we need to calculate the total number of combinations for each item (bed, desk, and dresser) and then multiply them together.

Let's assume there are n choices for the bed, m choices for the desk, and p choices for the dresser.

Using the fundamental principle of counting, the total number of different furniture sets is obtained by multiplying the number of choices for each item:

Total number of furniture sets = number of choices for bed * number of choices for desk * number of choices for dresser

To know more about number visit:

brainly.com/question/3589540

#SPJ11

Answer: 12

Step-by-step explanation:

Let's assume Patty's age is represented by the variable "P".

According to the given information:

The sum of twice Patty's age and her mother's age is 74:

2P + M = 74 (Equation 1)

Patty's mother's age is 14 more than three times Patty's age:

M = 3P + 14 (Equation 2)

To find Patty's age (P), we can solve these two equations simultaneously.

Substituting Equation 2 into Equation 1, we get:

2P + (3P + 14) = 74

5P + 14 = 74

5P = 74 - 14

5P = 60

P = 60 / 5

P = 12

Therefore, Patty's age is 12.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

Learn more about sample proportion here:

https://brainly.com/question/29912751

#SPJ11

Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.

In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.

Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.

The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.

By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.

Learn more about mean here:

https://brainly.com/question/20118982

#SPJ11

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

To know more about expressions visit :

https://brainly.com/question/28170201

#SPJ11

Answer:

Step-by-step explanation:

Zero exponent numbers = 1

When you try to multiply an exponent by zero, it equals one.

Negative exponents is just a 1/x

Negative just flips over the equation.

For example, 9^-1

1/9^1

1/9

Answer:

Step-by-step explanation:

Zero Exponent Property: The zero exponent rule states that when a nonzero number is raised to the power of zero, it equals 1.

Example:  x^0 = 1

Negative Exponent Properties: the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice verse. It also describes how many times we have to multiply the reciprocal of the base.

An example of negative exponents is \(3^{-2}\).

Step 1

Consider all options

Hence the answer is option A

The value of c that will give the graph of f(x) = cx^2 - 2x - 2 a point of inflection at (3, f(3)) is c = 2. For this value of c, the second derivative of the function is zero at x = 3, satisfying the condition for a point of inflection.

In order to find the value of c, we need to consider the second derivative of f(x). The second derivative represents the concavity of the function and determines whether a point of inflection exists.

First, let's find the first derivative of f(x) with respect to x:

f'(x) = 2cx - 2.

Now, taking the second derivative of f(x):

f''(x) = 2c.

For a point of inflection to occur at (3, f(3)), the second derivative must be equal to zero at x = 3. Therefore, we have:

f''(3) = 2c = 0.

Solving this equation for c, we find that c = 0.

However, if c = 0, the graph of f(x) reduces to f(x) = -2x - 2, which is a linear function. Linear functions do not have points of inflection, so c = 0 is not a valid solution.

To learn more about point of inflection, visit:

https://brainly.com/question/30767426

#SPJ11

Answer:

m=-3

Step-by-step explanation:

Since the lines are parallel to each other, their gradients are equal.

∴ gradient of green line = gradient of red line

∴ m = -3

Solution: slope=-3

Detailed explanation:

This little problem asks us to find the slope of the line. Let's do this!

\(\searrow\)

This is what parallel lines look like:

<------------------------------------------------------------------------------------------------------->

<------------------------------------------------------------------------------------------------------->

The two lines above will never intercept each other.

And that's what parallel lines are - they are lines that never intercept.

They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.

So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)

Slope of the red line = -3

Voila! There's our answer!

__________________________

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

"reflection"

__________________________

Answer:

$6.23

Hope this helps! :)

Kelly should write "Three hundred nine and 55/100 dollars" on the line that ends in "Dollars".

Cost is the monetary value associated with the purchase or production of goods or services. It can include the price of materials, wages, overhead and other expenses that are related to the production of the goods or services. Cost is a major factor when deciding whether to purchase or produce something as it is an indicator of the value of the product or service.

She should spell out the amount in words, rather than using numerals. Additionally, Kelly should be sure to double check the amount to ensure it is accurate before signing the check.

To know more about cost click-
https://brainly.com/question/25109150
#SPJ1

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.

Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.

Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).

Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).

Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.

Therefore, the correct answer is option (d) 0.00000962.

Learn more about probability  : brainly.com/question/31828911

#SPJ11