what best describes the graph of y = -|x+1| - 5

Answer:  x=20  y=43

Step-by-step explanation:

That little symbol in <1 means that the angle is a right angle, which is = to 90°  so

<1 = 90°

133-y = 90        solve for y by subtracting 133 from both sides

-y = -43             divide by -1 on both sides

y=43

Because all 3 angles make a line, which is 180, and you know <1 = 90   then <2+<3=90 as well.

<2+<3=90

22 + x + 48 =90     simplify

70 + x =90              subtract 70 from both sides

x=20

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

==========================================================

Explanation:

We start with one block at the very left side. This is algebraically written as \(a_1 = 1\). The small subscript '1' means we're dealing with the first term, and that is set equal to 1. In other words, the first term is 1.

The second term is three since we have three blocks as the next figure down the line. So \(a_2 = 3\). We can then see that \(a_3 = 6\) and \(a_4 = 10\)

The sequence of the first four terms are: 1, 3, 6, 10.

The notation \(a_n = a_{n-1} + n\) tells us "to get the nth term \(a_n\), we add the previous term (\(a_{n-1}\)) to the value of n".

For example, if we wanted the third term, we would add the second term a2 onto the value of n = 2. In order to know a2, we need the diagram or you would have to use the recursive formula to find it.

Furthermore, it means that to find the fifth term \(a_5\), we do the following

\(a_n = a_{n-1} + n\\\\a_5 = a_{5-1} + 5\\\\a_5 = a_{4} + 5\\\\a_5 = 10+5\\\\a_5 = 15\)

The fifth figure will have 15 small little blocks to it. You can draw this out by copying the fourth figure, and then adding 5 smaller blocks to the very bottom portion. The sixth figure is basically a copy of the fifth one, but we have six little blocks along the bottom. This is the "plus n" being applied in the recursive formula.

So the 6th figure will have 15+6 = 21 blocks in total while the 7th figure has 21+7 = 28 blocks. This points us to choice (3).

Side note: These are known as triangular numbers. Note how the gaps between consecutive values of 1,3,6,10,15,21,28 is +2,+3,+4,+5,+6,+7.

Answer:

4/5 yd^3

Step-by-step explanation:

(2/3)(3/1)(2/5) = 12/15 = 4/5

Answer:

4/5 I believe?

Step-by-step explanation:

Multiply all the numbers together :)

Answer:

A.) 93

B.) 77

C.) 369

Step-by-step explanation:

Answer:

Its the same one that I answered lol

Step-by-step explanation:

The three positive consecutive integers are 5, 6, and 7 where the product of the first and third integer is 17 more than 3 times the second integer.

Let's represent the three consecutive integers as n, n+1, and n+2.

According to the given condition, the product of the first and third integer is 17 more than 3 times the second integer. Mathematically, we can express this as:

n * (n+2) = 3(n+1) + 17

Expanding and simplifying the equation:

\(n^{2}\) + 2n = 3n + 3 + 17

\(n^{2}\) + 2n = 3n + 20

\(n^{2}\) - n - 20 = 0

Now we can solve this quadratic equation to find the value of n. Factoring the equation, we have: (n - 5)(n + 4) = 0

Setting each factor equal to zero: n - 5 = 0 or n + 4 = 0

Solving for n in each case: n = 5 or n = -4

Since we need to find three positive consecutive integers, we discard the solution n = -4. Thus, the value of n is 5.

Therefore, the three positive consecutive integers are: 5, 6, and 7.

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To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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Answer:

6

Step-by-step explanation:

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

Answer:

Specify

Step-by-step explanation:

How many people are in Joe's class. Since it's half, you divide the answer by two.

EX:

If there is 10 people in the class:

10/2 = 5

Which means there are 5 people in the class who brought gifts.

How about another one:

If there are 271 people in the class

272/2 = 136

Which means 136 people in the class brought gifts and there might be a potential landslide of items in Joe's home.

The actual area of her office is 50 square feet.

The scale used for the blueprint of the office is the scale of reduction.

Also, the scale of reduction is uniform for the overall drawing.

We are given,

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

Let's find the actual length and width by unitary method;

Since 6 cm of the drawing denotes the actual size of 15 ft.

So, 1 cm of the drawing denotes the actual size of 15 ft./6 cm.

So, 4 cm of the drawing denotes the actual size of 15 ft./6 cm * 4 cm = 10 ft.

So, 2 cm of the drawing denotes the actual size of 15 ft./6 cm * 2 cm = 5 ft.

So, the actual length of the office will be 10 ft. and the actual width of the office will be 5 ft.

Now,

Area of the office = length * width = 10 * 5 = 50 square feet.

Thus, the actual area of her office is 50 square feet.

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Answer:

AB = 19.05

∠A = 45°

∠C = 45°

Step-by-step explanation:

To find a missing side length, Use Pythagorean Theorem

Pythagorean Theorem:  \(a^{2} +b^2=c^2\)

Then fill in the dimensions given in the triangle

In this case, we're looking for b^2 so...

\(11^2+b^2=22^2\)

\(121+b^2=484\)

\(b^2=484-121\)

b^2 = 363

\(\sqrt{363} =19.05\)

so the answer is approximately 19

Now in this case we already know the measure of B by the 90° angle.

so if the total is 180, then 180 - 90 = 90 then divided by 2 for the 2 missing angles = 45°

so the answer is 45°

Answer:

AB=11SR3 or about 19.1.  Angle A is 30 degrees.  Angle C is 60 degrees.  SR(square root).

Step-by-step explanation:

Pythagorean Theorm for AB and Trigonometry for A and C. Hope it helps.

The solutions for the given quadratic equation are -0.15 and -5.85.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is x²+6x+1=0.

Compare x²+6x+1=0 with ax²+bx+c=0, we get a=1, b=6 and c=1

Use x = [-b ± √(b² - 4ac)]/2a to find the solution. That is,

x = [-6 ± √(6² - 4×1×1)]/2×1

x= (-6 ± √32)/2

x=(-6 ± 5.7)/2

x= -0.3/2 and -11.7/2

x= -0.15 and -5.85

Therefore, the solutions for the given quadratic equation are -0.15 and -5.85.

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Answer:

24

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract :)

625 - 49 = 576

Now we have to find the square root to solve the problem :)

\(\sqrt{576}\) = 24

Now you know how to solve this type of problem!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

104 + 3(90.50)

Step-by-step explanation:

Given the cost expression :

(127.50 - 23.50) + 3(86.50 + 4)

Equivalent expression :

(127.50 - 23.50) + 3(86.50 + 4)

104 + 3(90.50)

Answer:

Maths is universally common. People in every country use maths and all its branches. ... Give it a try, look around you, measure something, solve a sum, count something and there are so many more ways you can start knowing maths. Maths is interesting, it's just numbers to play with.

Answer:

what's fun about math is when you figure out the equations and questions.

The area of the kite is 40 square meters, calculated by using the area of a kite formula.

To calculate the area of a kite, you need to know the lengths of both the diagonals. Once you have those values, you can use the following formula to find the area:

Area = (d1 x d2) / 2

where d1 and d2 are the lengths of the diagonals.

Here is an example of how to use this formula:

Let's say you have a kite with diagonals of 8 meters and 10 meters. To find the area, you would use the formula:

Area = (8 x 10) / 2

Area = 40 square meters

So the area of the kite is 40 square meters.

There are also many online calculators available that can help you find the area of a kite if you enter the values of the diagonals.

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Answer:

120

Step-by-step explanation:

no nonp

You are looking for a number that is a multiple of 3, 4, 5, and 6, and is a factor of 120 divided by 7, leaving a remainder of 4.

Let's break down the problem step by step:

1. Find a number that is a multiple of 3, 4, 5, and 6.
  - The smallest number that meets this criteria is the least common multiple (LCM) of 3, 4, 5, and 6.
  - The LCM of these numbers is 60.

2. Find a number that is a factor of 120 divided by 7.
  - The result of dividing 120 by 7 is 17 with a remainder of 4.
  - The number we are looking for must be a factor of 120 divided by 7, so it must be a factor of 17.
  - The factors of 17 are 1 and 17.

3. Find a number that leaves a remainder of 4.
  - Since the number must leave a remainder of 4, we need to add 4 to the factors of 17.
  - The numbers that meet this criteria are 1 + 4 = 5 and 17 + 4 = 21.

So, the numbers that satisfy all the given conditions are 5 and 21.

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Answer:

D

Step-by-step explanation:

3 1/2 = 1 yard and 1/2 inch then a yard then 31 divided by 12 is 2.??

The instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

To find the points in the closed interval where the instantaneous rate of change of f equals the average rate of change of f, we need to set up the equation for the derivative of f and the formula for the average rate of change of f on the interval.

First, we can evaluate the integral to get:

f(x) = ∫x^2 0 (sin t) dt = 1 - cos x^2

Next, we can find the derivative of f:

f'(x) = sin x^2 * 2x

To find the average rate of change of f on the interval [0, √π], we can use the formula:

Average rate of change of f = [f(√π) - f(0)] / (√π - 0)

= [1 - cos π] / √π

= 2 / √π

Now, we can set up the equation:

f'(x) = 2 / √π

sin x^2 * 2x = 2 / √π

sin x^2 = 1 / (√π x)

We can solve for x numerically using a graphing calculator or computer software. The solutions are approximately x = 0.673 and x = 1.325. Since these solutions are within the interval [0, √π], they are valid solutions.

Therefore, the instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

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The future value of the investment of $ 10, 000 at the stated interest rate of 1% compounded quarterly would be $ 10, 407. 60 .

First, find the quarterly rate to be :

= 1 % / 4

= 0. 25 %

The number of periods would be :

=4 years x 4 quarters per year

= 16 quarters

Then, find the future value to be :

= Present value x ( 1 + rate ) ⁿ

= 10, 000 x ( 1 + 0. 25 % ) ¹⁶

= $ 10, 407. 60

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The full question is:

calculate to the nearest cent the future value FV (in dollars) of an investment of $10,000 at the stated interest rate after the stated amount of time. 1% per year, compounded quarterly (4 times/year) after 4 years.

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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SOLUTION

We want to find the standard deviation of the data in the picture

So we need to make a table

The formula is given as

So we need to make a table for

Then we square it and multiply for by P(x)

This means we need a table for

Then we sum and get the square root.

The table is shown below

So the last column is

So let us sum

The standard deviation becomes

Hence the answer is 1.45 to 2 decimal places

Answer:

jwsnsvsjwsoxbwjjehehwwiw

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Using Conditional probability,

The probability that after a fair coin is tossed 5 times that the result will contain 3 'heads' given that the first toss was a 'head' is 3/5.

A fair coin is tossed five times .

so, total possible outcomes = 2⁵ = 32

Let A: head observed on first toss

B: 3 heads observed.

Probability that the first toss was head (p) = 1/2

we have to find out probability that on 5 tosses result contain 3 heads given that first toss wss head .

Using Binomial Probability distribution

P (X= x) = ⁿCₓ (p)ˣ (q)⁽ⁿ⁻ˣ⁾

x = 3 , n = 5

we get , P(B) = P(X= 3 ) = ⁵C₃(1/2)³(1/2)²

=> P(B) = 10 ×(1/2)⁵= 5/16

since the first toss is fixed as a head.

P(A ∩ B) =P( X₁ = 1 and X₂+ X₃ + X₄ + X₅) = P(X₁= 1)P(X₂+X₃+X₄+X₅)

= 1/2 × ⁴C₂ (1/2)⁵ = 3 (1/2)⁴

The required probability is , Conditional probability P(B/A) = P(A ∩ B)/P(A)

= 3(1/2)⁴/ 5/16 = 3/5

Hence , the required probability is 3/5.

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