ASAPPPP HELP
A 10 foot ladder is placed against a wall at an angle of 25° with the
ground. How far up the wall does the ladder reach?
Round your answer to the nearest whole foot. DO NOT INCLUDE
UNITS IN YOUR ANSWER

Answer:

15

Step-by-step explanation:

2 + 13 = 15

15( 3 ) = 45

45-35= 15

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations.

As per the given data:

Cost of one trail mix = $3.00 per pound

Cost of another trail mix = $1. 50 per pound

The grocer makes 15 lb of trail mix that costs $2.50 per pound.

Let's assume the grocer used 'A' pounds of $3.00 per pound trail mix and 'B' pounds of  $1. 50 per pound trail mix.

Total quantity of $2.50 per pound trail mix = 15 lb

Now, from the given data,

A + B = 15 ...(i)

Also, the total cost is going to remain the same.

3A + 1.5B = 15 × 2.50

3A + 1.5B = 37.5 ...(ii)

Using eq(i) A = 15 - B

Substituting in (ii):

3(15 - B) + 1.5B = 37.5

45 - 3B + 1.5B = 37.5

B = 7.5/1.5

B = 5

and A = 10

The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

Hence, The grocer used 10 lbs of $3.00 per pound trail mix and 5 lbs of $1.50 per pound trail mix.

To learn more about Algebra, click:

brainly.com/question/24875240

#SPJ2

Answer:C. 58 bicycles and 62 tricycles.

Step-by-step explanation:58x2= 116

62x3=186; you then add both total amount of wheels (186+116= 302)

Answer:

6n-1

Step-by-step explanation:

The rule is to add on from previous term to next to find nth terms and the 0 term can be found by doing 5-6 = -1

ANSWER IS 6N-1

HOPE THIS HELPED

Answer:

area of sector=84°/360°×π×45²=1485cm²

The area of the sector to 3 significant figure is 1480cm²

The formula for calculating the area of a sector is expressed as

A= r²β/2

where;

r is the radius. = 45cm

β is the central angle =84 degrees

Substitute

A = (45)²(84π)/360
A = 1483.65cm²

Hence the area of the sector to 3 significant figure is 1480cm²

learn more on area of sector here: https://brainly.com/question/22761976

#SPJ6

To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.

The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.

In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:

4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs

By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.

Learn more about conversion  here:

https://brainly.com/question/23718955

#SPJ11

The linear equation representing the number of Takis bags Circle K will sell today is y = 4x + 16, where y is the dependent variable and x is the independent variable.

Circle K sells many bags of potato chips, but the most popular bag of chips is Takis. They sell about 4 bags of Takis per hour. Today, Circle K has already sold 16 bags of Takis. To represent this information as a linear equation, we can let y represent the total number of Takis bags sold today and x represent the number of hours Circle K has been open. The linear equation indicating the number of Takis bags Circle K will sell today is y = 4x + 16. The dependent variable is y (the total number of Takis bags sold) and the independent variable is x (the number of hours Circle K has been open).

Learn more about independent variable here: brainly.com/question/29430246

#SPJ4

Answer:

C

Step-by-step explanation:

1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.

2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.

3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.

4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.

2 and 3 only

Answer: 9,030$

8400 * 0.075 = 630

630 + 8400 = 9030$

Answer: $630 increase, $9030 in total

Step-by-step explanation: Using the formula Prt (Principal x Rate x Time)

Scott started with 8400 and %7.5 rate and 1 year, so (8400)(0.075)(1) = $630 in interest and 8400 + 630 = $9030 in Scott's account.

Out of the given options the true statements about the graph of             f(x) = cot(x) are B, C, and D.

B. f(x) is undefined for nπ, where n is an integer: The function cot(x) is defined as the ratio of cosine(x) to sine(x), which means it is undefined when sine(x) equals zero. This occurs at x = nπ, where n is an integer.

C. There is a vertical asymptote at x = π/2: As x approaches π/2, the value of cot(x) approaches positive infinity. Similarly, as x approaches -π/2, the value of cot(x) approaches negative infinity. This indicates the presence of vertical asymptotes at x = π/2 and x = -π/2.

D. F(x) is undefined when cos(x) = 0: The function cot(x) is undefined when cosine(x) equals zero. This happens at x = (2n + 1)π/2, where n is an integer.

A. (0,0) is a point on the graph: This statement is false. The value of cot(0) is undefined because it corresponds to dividing zero by zero, which is indeterminate.

E. All y-values are included in the range: This statement is false. The range of cot(x) is (-∞, -1) U (1, +∞), which means it does not include all possible y-values.

In conclusion, the true statements about the graph of f(x) = cot(x) are B, C, and D, while statements A and E are false.

Learn more about graph of cotx here:

https://brainly.com/question/27828189

#SPJ11

The probability of selecting a six-person committee as per given condition is equal to 0.1623 or 16.23%.

To calculate the probability of selecting four Democrats

And two Republicans in a six-person committee from a city council consisting of five Democrats and six Republicans,

Use the concept of combinations.

The total number of ways to form a committee of six people from a council of eleven five Democrats and six Republicans is

Using combination formula,

C(n, k) = n! / (k! × (n - k)!)

where n is the total number of items and k is the number of items chosen.

Here, select four Democrats and two Republicans,

Number of ways to choose four Democrats from five

C(5, 4)

= 5! / (4! × (5 - 4)!)

= 5

Number of ways to choose two Republicans from six,

C(6, 2)

= 6! / (2! × (6 - 2)!)

= 15

To find the total number of ways to form the committee with four Democrats and two Republicans, multiply the two results,

Total number of ways

= C(5, 4) × C(6, 2)

= 5× 15

= 75

The total number of ways to form a committee of six people from the city council is,

Total number of ways

= C(11, 6)

= 11! / (6! × (11 - 6)!)

= 462

Finally, calculate the probability by dividing the favorable outcomes (75) by the total number of outcomes (462),

Probability

= 75 / 462

≈ 0.1623

Therefore, the probability of selecting a six-person committee with four Democrats and two Republicans is approximately 0.1623 or 16.23%.

learn more about probability here

brainly.com/question/29088714

#SPJ4

The probability of failure on trial 9 is 0.74.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

The probability of failure on a trial is equal to 1 - the probability of success on that trial. Therefore, the probability of failure on trial 9 is 1 - 0.26 = 0.74.

Hence, the probability of failure on trial 9 is 0.74.

To learn more about the probability, visit:

https://brainly.com/question/24756209

#SPJ1

The number of items that must be sold for the company to make a profit is 757.

Calulation of number of items sold:

R = 195x

C = 160x + 18000

Here R means the revenue

And, C means the cost

Now

We know that

Profit = R - C

Profit = Revenue - cost

=195x - (160x + 18000)

= 195x - 160x - 18000

= 35x -18000

Now solve the above equation

So,

35x - 18000 = 8500

x=757

Therefore,

x = 757

Learn more about profit here:

brainly.com/question/19817278

#SPJ4

The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

H0: u = 24000

H1: u > 24000

we have n = 84 homes

bar x = 27500

s = 2400

Next we have to find the test statistic

The formula for this is given as

\(t = \frac{x-u}{s/\sqrt{n} }\)

When we out in the values we would have

\(t = \frac{27500-24000}{2400/\sqrt{84} }\)

This would give us the answeer of the t test as

t test = 13. 3658

We have alpha = 0.02

the degree of freedom = 84 - 1 = 83

we have to find tα/2, df

=  ±2.0865

Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.

Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

Read more on statistics here

https://brainly.com/question/4219149

#SPJ1

Answer:

I believe that the answer is c or -9

Step-by-step explanation:

The possibility of winning the lottery is determined by the possible number of combinations, this means there are many possible combination but only one wins.

In math, a combination refers to the possible way to arrange a set of items.

In the lottery, each ticket has a unique combination of numbers, which determines the total number of tickets and the possibility to win the lottery. Moreover, only one specific combination will be equivalent to the winner combinaton.

Learn more about lottery in: https://brainly.com/question/1641063
#SPJ1

Answer:

Yes

Step-by-step explanation:

The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.

If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.

If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ5

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

Learn more on binomial probability here;

https://brainly.com/question/15246027

#SPJ4

To find the simplest function f and a number a, we can begin by simplifying the expression within the limit. We can use the formula for the difference of squares to rewrite the numerator as (x^40 + x^20 + 1)(x^20 - 1). Similarly, we can use the formula for the difference of cubes to rewrite the denominator as (x - 1)(x^2 + x + 1)(x^3 + x^2 + 1)(x^6 + x^3 + 1).

Canceling out the common factor of x - 1 in the numerator and denominator, we are left with:

limx→1(x^20 + x^10 + 1)(x^20 - 1) / (x^2 + x + 1)(x^3 + x^2 + 1)(x^6 + x^3 + 1)

To find the simplest function f, we can let f(x) = x^20 + x^10 + 1. Then, f'(x) = 20x^19 + 10x^9, so f'(1) = 30.

Therefore, we can rewrite the limit as:

limx→1 [f(x) - 1] / [(x - 1)(x^2 + x + 1)(x^3 + x^2 + 1)(x^6 + x^3 + 1)]

Using L'Hopital's rule or factoring, we can simplify the denominator to (1 + 1 + 1)(1 + 1)(1 + x + x^2)(1 + x^3 + x^6), which equals 9(1 + x + x^2)(1 - x + x^2)(1 + x^3 + x^6).

Plugging in f'(1) and simplifying, we get:

limx→1 [f(x) - 1] / [(9)(1 + x + x^2)(1 - x + x^2)(1 + x^3 + x^6)]

= [f'(1)] / [9(1 + 1 + 1)(1 + 1)(1 + 1 + 1)(1 + 1 + 1 + 1 + 1 + 1)]

= 30 / 1944

Therefore, the value of the limit is 30 / 1944.
a. To find the simplest function f and the number a, we first recognize that the given limit represents the derivative of a function f at a point a:

lim(x→1) [(x^80 - 1) / (x - 1)]

We can use the definition of a derivative, which is:

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

Comparing this with the given limit, we have:

f(x + h) = x^80
f(x) = 1

Here, x + h = x^80 and x = 1. So, f(1) = 1. Since f'(a) is given at x = 1, we have:

a = 1

The simplest function f is a power function of the form f(x) = x^n. To find n, we consider the fact that f(1) = 1:

1^n = 1

The simplest solution is when n = 1, so f(x) = x.

b. Now, we determine the value of the limit by finding f'(a). Since we found that f(x) = x, we can calculate its derivative:

f'(x) = d(x)/dx = 1

Now, we can find f'(a) by substituting a = 1:

f'(1) = 1

So, the value of the limit is 1.

Learn more about denominator at : brainly.com/question/7067665

#SPJ11

Using the Poisson distribution formula, the probability of detecting a single network virus on a given day is approximately 0.1494 or 14.94%.

For the probability of seeing one network virus on any given day, we can use the Poisson distribution formula:

P(X = x) = (e^-λ * λ^x) / x!

Where:

P(X = x) is the probability of detecting x network viruses in a day

e is the mathematical constant e (approximately equal to 2.71828)

λ is the mean number of network viruses detected in a day

x is the number of network viruses detected in a day

Given that the mean number of network viruses detected in a day is 3.0, we have:

λ = 3.0

Now, the probability of detecting one network virus in a day, we plug x = 1 into the formula:

P(X = 1) = (e^-3.0 * 3.0^1) / 1!

= (0.0498 * 3.0) / 1 ⇒ 0.1494

Therefore, the probability of detecting one network virus on any given day is approximately 0.1494 or 14.94%.

To know more about the "Poisson distribution formula": https://brainly.com/question/9123296

#SPJ11

Answer:

Step-by-step explanation:

120

The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

Know more about the null hypothesis

https://brainly.com/question/4436370

#SPJ11

Answer:

45 degrees times StartFraction pi Over 180 degrees EndFraction

Given that the particle moves along the curve y=e^(2x) and the magnitude of its velocity is v=5ft/s.A particle moving along a curve is given by:y = e^(2x)Taking the derivative of this function with respect to time t will give the velocity function as follows;dy/dt = 2e^(2x) dx/dt ............................... (1)We know that the magnitude of velocity is constant v = 5ft/s.

Therefore, we can use the velocity function to solve for dx/dt and dy/dt as shown below;dx/dt = v/√(4e^(4x)) = v/(2e^(2x)) ................ (2)Substituting equation (2) into (1), we get;dy/dt = 2e^(2x) dx/dt = 2e^(2x) * v/(2e^(2x))=v = 5 ft/sHence, the y-component of velocity when the particle is at y = 8 ft is 5 ft/s.

Therefore, we can use the slope of the curve at point y = 8 ft to find the angle of the slope, then use trigonometry to solve for the x-component of velocity.

To know more about particle visit:

https://brainly.com/question/13874021

#SPJ11

Answer:

Step-by-step explanation:

The sum of exterior angles of a pentagon is 360°.

take away the know angles and find x

360 - 93 - 71 - 84 - 62 = 50 (value of x)

180 - 50 = 130° (value of y)

The resultant value of x for the given quadratic equation 9x² − 16 = 0 is x = ±4/3.

Any equation in algebra that can be written in standard form where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.  

An algebraic equation of the second degree in x is a quadratic equation.

The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

So, we have the quadratic equation:

9x² − 16 = 0

Now, solve as follows:

a = 9

b = 0

c = -16

Now,

c = -0 ± √0² - 4-9(-16)/2*9

x = ±4/3

Therefore, the resultant value of x for the given quadratic equation 9x² − 16 = 0 is x = ±4/3.

Know more about quadratic equations here:

https://brainly.com/question/1214333

#SPJ1

2y = x  -8 is the equation of line w.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Line v has an equation of y= – 2x+5.

also given Perpendicular to line v is line w

Slope of the perpendicular line w = -1/(Slope of the line v)

From Slope intercept form

y = mx + c

where m is the slope

Slope of the perpendicular line w = -1/ (-2)

The slope of the perpendicular line w = 1/2

Thus, the equation of a line:

y = 1/2x + c

Since, w passes through the point (6, – 5).

Thus,

-5 = 1/2 * 6 + c

c = -8

So, the equation of line y = 1/2x -8

Therefore, the Equation of line w is 2y = x  -8.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ1

This conclusion is based on the ANOVA analysis conducted, which resulted in a p-value of less than 0.001. This low p-value indicates that there is a statistically significant difference between the mean test performances of the four teaching methods, leading us to reject the null hypothesis that the type of instruction has no effect on mean test performance.

Based on the output, the null hypothesis is rejected as the p-value is less than 0.05. Therefore, there is sufficient evidence to conclude that the four mean scores are not all equal and that the type of instruction has an effect on mean test performance. Therefore, the valid conclusion is A.
A. The data provide strong evidence that the four mean scores (representing the four teaching strategies) are not all equal.
Learn more about null hypothesis, here:

https://brainly.com/question/19132215

#SPJ11

The angle between the laser beam and the building is given as follows:

2.69º.

The three trigonometric ratios are defined as follows:

For this problem, we have that:

Hence the angle is obtained applying the tangent function as follows:

tan(x) = 40/850

x = arctan(40/850)

x = 2.69º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1