What is a2-b2 equal to?​

Step-by-step explanation:

the scenario creates 2 similar triangles :

one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.

and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.

similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.

and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.

we see : large triangle side / small triangle side = 2/1 = 2

and therefore, the same factor (2) applies to the heights.

so,

height of house / height of tree = 2

therefore,

height of tree = height of house / 2 = 150/2 = 75 ft

Answer:

-2.

Step-by-step explanation:

-18/9 = -2.

36/-18 = -2.

We multiply by -2 to get the next number in the sequence.

Common ratio is -2.

Answer:

75FT  B

Step-by-step explanation:

if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

Answer:

24mph

Step-by-step explanation:

convert 20 mins and 30 mins to hrs by dividing by 60

4/(20/60)=12

6/(30/60)=12

12+12=24

Cyclist's average speed is 12 mph.

Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.

It can also be defined as the rate of change of position of anything in any direction.

Speed is a scalar quantity as it does not have direction.

Total distance travelled by the cyclist = 4 miles + 6 miles

                                        = 10 miles

Total time taken by the cyclist = 20 minutes + 30 minutes

                                                  = 50 minutes

We need the average speed in mph or miles per hour.

We know that,

60 minutes = 1 hour

1 minute = 1/60 hour

50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour

                   = [tex]\frac{5}{6}[/tex] hour

Average Speed = Total distance travelled / Total time taken

                          = 10 miles / (5/6) hour

                          = 10 × [tex]\frac{6}{5}[/tex]

                          = 12 miles per hour

Hence the average speed of the cyclist is 12 miles per hour.

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Answer:

The spread values are closer to the spread values of Manuel’s data set.

The data set is approximately symmetric.

The data set is skewed left.

Step-by-step explanation:

i got it right.

The true statements bout Gretchen's adjusted data set are (1), (4), and (5).

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

Which statements are true about Gretchen's adjusted data set:

The options are:

As we know,

The spread values are more similar to Manuel's data set's spread values, and the data set is roughly symmetric and tilted to the left.

The true statements are:

Thus, the true statements bout Gretchen's adjusted data set are (1), (4), and (5).

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Answer:

5.125, 5.14, ¹⁰³/₂₀, 5²/₉

Step-by-step explanation:

When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.

When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.

Step-by-step explanation:

C(x) = 1550 - 50x

With C(x) the cash you have every month (x).

Now we solve:

1550 - 50x < 0

So it becomes:

50x > 1550

x > 31

The 32nd month you'll be broke.

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard error are given by:

[tex]\mu = p = 0.62[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]

[tex]Z = -2.13[/tex]

[tex]Z = -2.13[/tex] has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

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Answer:

-1147

Step-by-step explanation:

Answer:

-1733

Step-by-step explanation:

-5-96*18 = -1733

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

Step-by-step explanation:

#3. 3^⅓ × 9^⅓ ......make the bases the same

3^⅓ × (3²) ^⅓

3^⅓ × 3^⅔ .....since the bases are the same, add the powers

3^ (⅓+⅔)

3^1

3

#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5

(x + 6) ^3/5 *5/3= 8^¹*5/4

x + 6 = 8^5/3

x + 6= ( 3√8)^5

x + 6 = 2^5

x + 6 = 32

x = 32 -6

x = 26

hope this helps!

Not sure though

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]

[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]

[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]

[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]

[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

Answer:

Commutative property

Step-by-step explanation:

Answer:

Associative property I think

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Answer:

the answer is 5.9 since both sides are the same and on the other side its 5.9

Hope This Helps!!!

Answer:

(3,1)

Step-by-step explanation:

(x,y) (-4,2)

so -4 +2 = - 2 ; -2 +5 = 3

and for y: 2 - 5 = - 3 ; - 3 + 4 = 1

(3,1)

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic polynomial has a degree of 2, hence it has only 2 roots.

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

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Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

Answer:

Subtraction property of equality

Step-by-step explanation:

You subtracted c from both sides of the equation to preserve equality

The step 1 is explained by subtraction property of equality.

The correct option is A.

The standard form of Quadratic Equation is

ax² + bx + c = 0

Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.

And to do that, we must subtract c from both sides, which is

-c = ax² + bx

Then, we have used subtraction property here.

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The percentage of the people that were satisfied with the bus company's  performance is: B. 38.5%

Given the following data:

To determine the percentage of the people that were satisfied with the bus company's  performance:

In this exercise, you're required to find the number of the people that were satisfied with the bus company's  performance as a percentage of the total population in this survey.

Thus, we would use this formula:

[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]

Substituting the given parameters into the formula, we have;

[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]

Percentage = 38.5%

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The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

[tex]Red = \frac 12[/tex]

[tex]White = \frac 13[/tex]

[tex]Blue = 6[/tex]

The probability of picking a ball that is not blue is:

[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]

So, we have:

[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]

Rewrite the fractions as equivalent fractions

[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]

Take LCM

[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]

Add 3 and 2

[tex]P(Not\ Blue) = \frac {5}6[/tex]

Hence, the probability of picking a marble that is not blue is 5/6

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Answer:

x = - 1.5

Step-by-step explanation:

2 - 3(2x - 2) = 17 ← distribute parenthesis

2 - 6x + 6 = 17 , simplify

8 - 6x = 17 ( subtract 8 from both sides )

- 6x = 9 ( divide both sides by - 6 )

x = [tex]\frac{9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

Answer:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

3