What is the length of the hypotenuse of the triangle?

Answer:

For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.

Answer:

The radius of the circle is 3 units

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is x^2 + y^2 = 9

Step-by-step explanation:

Answer:

15=225

20= 400

Step-by-step explanation:

the small 2 means multiply that number two times :)

Answer:

[tex]15^2\\[/tex] = 225

[tex]20^{2}[/tex] = 400

Step-by-step explanation:

[tex]x^{2}[/tex] = [tex]x[/tex] × [tex]x[/tex]

basically it's the number times itself

15 × 15 = 225

20 × 20 = 400

Answer:

25 liters of 20%

50 liters of 50%

Step-by-step explanation:

x = liters of 50%

75 - x = liters of 20%

50x + 20(75 - x) = 40(75)

50x + 1500 - 20x = 3000

30x = 1500

x = 50

75 - x = 25

Answer:

Treatment variable = Teaching methods

Confounding variable = Teacher's teaching prowess

Step-by-step explanation:

The treatment variable here is that variable which is applied on the student in other to ovtujba measure of the dependent or response variable, the response variable here is the test score, while the treatment variable is the independent variable, which are the teaching methods.

The confounding variable is that variable which is capable of causing a spurious association in our measurement and also has an effect on the test score. However, this variable isn't taken into account during our experiment. One possible confounding variable could be the Teacher's individual teaching prowess regardless of the teaching method. This could cause the student to get a better grasp of what is being taught by one teacher than the other.

Answer:Treatment variable = Teaching methods

Confounding variable = Teacher's teaching prowess

Step-by-step explanation:

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

When sample size increases:

The standard deviation of the sample mean is:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

Answer:

x≤8

Step-by-step explanation:

let the number be x

¾x+14≤20

LCM=4

3x+56≤80

3x≤80-56

3x≤24

x≤8

I am unable to add number line here

Answer:

$6.40 per movie

Step-by-step explanation:

Since the fifth movie is free, find the total cost by multiplying 8 by 4:

8(4)

= 32

Find how much you actually pay per movie by dividing this by 5:

32/5

= 6.4

So, you are actually paying $6.40 per movie

Answer:

$6.40

Step-by-step explanation:

If you buy five movies, but only pay for the first four, then that is the first amount we need to find. Paying $8 for four movies means you are paying $32. If you are paying $32 for five movies, then you are paying $6.40 per movie.

Math:

8 + 8 + 8 + 8 + 0 = 32

32/5 = 6.4

Given:

[tex]YA[/tex] is the angle bisector of [tex]\angle XYZ[/tex].

[tex]m\angle XYZ=52^\circ[/tex]

To find:

The measure of [tex]m\angle ZYA[/tex].

Solution:

It is given that [tex]YA[/tex] is the angle bisector of [tex]\angle XYZ[/tex]. It means

[tex]m\angle XYA=m\angle ZYA[/tex]            ...(i)

Now,

[tex]m\angle XYA+m\angle ZYA=m\angle XYZ[/tex]

[tex]m\angle ZYA+m\angle ZYA=52^\circ[/tex]            [Using (i)]

[tex]2m\angle ZYA=52^\circ[/tex]

Divide both sides by 2.

[tex]m\angle ZYA=\dfrac{52^\circ}{2}[/tex]

[tex]m\angle ZYA=26^\circ[/tex]

Therefore, the required value is [tex]m\angle ZYA=26^\circ[/tex].

Answer:

4/14

Step-by-step explanation:

2+1+7+4=14

red marbles are 4/14

Answer:

2/7

Step-by-step explanation:

Probability = Number of ways event can occur/ total number of possible outcomes.

Total number of possible outcomes = 2+1+7+4=14 = 4/14.

And if you break that down, 2 will go into four, twice and into fourteen, seven times = 2/7.

Brainliest?

Answer: i think

the corrcect answer is 0.5*10^-1

Step-by-step explanation:

hope this helps

Answer:

Here's what that would look like on a venn diagram

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

you just need see at one point. i see at point (1, 0.5)

Hi there!  

»»————-　★　————-««

I believe your answer is:

(4,6)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

See the graph attached.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B. [tex] 4x^2 + \frac{3}{2}x - 7 [/tex]

Step-by-step explanation:

[tex] f(x) = \frac{x}{2} - 3 [/tex]

[tex] g(x) = 4x^2 + x - 4 [/tex]

(f + g)(x) = f(x) - g(x)

= [tex] \frac{x}{2} - 3 + 4x^2 + x - 4 [/tex]

Add like terms

[tex] = 4x^2 + \frac{x}{2} + x - 3 - 4 [/tex]

[tex] = 4x^2 + \frac{3x}{2} - 7 [/tex]

[tex] = 4x^2 + \frac{3}{2}x - 7 [/tex]

tan²(θ) - sin²(θ) = sin²(θ)/cos²(θ) - sin²(θ)

-- because tan(θ) = sin(θ)/cos(θ) by definition of tangent --

… = sin²(θ) (1/cos²(θ) - 1)

-- we pull out the common factor of sin²(θ) from both terms --

… = sin²(θ) (1/cos²(θ) - cos²(θ)/cos²(θ))

-- because x/x = 1 (so long as x ≠ 0) --

… = sin²(θ) ((1 - cos²(θ))/cos²(θ))

-- we simply combine the fractions, which we can do because of the common denominator of cos²(θ) --

… = sin²(θ) (sin²(θ)/cos²(θ))

-- due to the Pythagorean identity, sin²(θ) + cos²(θ) = 1 --

… = sin²(θ) tan²(θ)

-- again, by definition of tan(θ) --

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

Answer:

y=130(2.5) ^(x-1)

Step-by-step explanation:

This should give you an exponential growth curve. I'm assuming this is what you meant by "rapid change over time".

Answer:

D

C

Step-by-step explanation:

One equation must have a slope that is the negative reciprocal of the other equation's slope.

The the sentence I've given you is correct, it is probably a little difficult to understand. Let's use an example

y = 1/2 x + 4

The slope of this line = 1/2

Therefore if you want a negative reciprocal, it would - 2 so y=-2x would be perpendicular to y = 1/2x + 4.

Just to be sure you understand, I'll put the graph of these two equations below.

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

So to answer your question

8)

is D. All the others have signs that are the same. They are reciprocals but with signs the same.

9) This is a little harder. You have reciprocals in all of them. But the slope must be positive. So that means that only a and c can be true. A does not go through (4,-1). C does.

y = 1/4 * 4 - 2

y = 1 - 2

y = - 1

So the answer is C

Answer:

x =56 (corresponding angles are equal)

Answer:

56°

Step-by-step explanation:

Since these two lines are parallel, and these two angles are at the corresponding position, the required angle measure is 56

Answer:

it is option a. pls mark me brainliest. hope this helps you

Answer:

1

Step-by-step explanation:

Slope = change in y over change in x

If you look at the graph as y goes up 1 x goes up 1

So slope = 1/1 or just 1

Answer:

m=1

Step-by-step explanation:

Hi there!

We're given the graph of a line and we need to find the slope of the line

There are many ways to do this, but the easiest is to calculate it from two points

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

So we can take 2 points from the graph of the line to find the slope

For example, let's take (-1,0) and (0,1)

Let's label their values to avoid any confusion before we substitute their values into the formula

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=0

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=1

now substitute into the formula *remember: we have SUBTRACTION in the slope formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

substitute

m=[tex]\frac{1-0}{0--1}[/tex]

simplify

m[tex]\frac{1}{0+1}[/tex]

simplify again

m=[tex]\frac{1}{1}[/tex]

divide

m=1

Therefore the slope of the line is 1

Hope this helps! :)

Answer:

15

Step-by-step explanation:

Because 3/4 of 20 or 75% of 20 is 15

Answer:

this might be the answer..

Step-by-step explanation:

m²+6m+9

Answer:

[tex]{ \boxed{ \bf{formular : } \: \tt{perimeter = 2(length + width)}}} \\ perimeter = 2((4x + 14) + (2x - 9)) \\ perimeter = 2(6x + 5) \\ perimeter = 12x + 10 \\ \\ { \tt{expression : 12x + 10}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {64}^{ \frac{2}{3} } \\ {2}^{6 \times \frac{2}{3} } \\ {2}^{ \frac{12}{3} } \\ {2}^{4} \\ = 16[/tex]

hope this helps you

have a nice day!

Answer:

16

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]64^{\frac{2}{3} }[/tex] = [tex](\sqrt[3]{64}) ^{2}[/tex] = 4² = 16