Use any direct or indirect method [on your choice] to prove the following statement:
For all positive real numbers r and s, \(\sqrt{r+s} \neq \sqrt{r}+\sqrt{s}\)

Answer:

The picture is really blurry, i can't see the questions

Answer:

(a) $52

(b) $2500

(c) $5000

Step-by-step explanation:

(a) y = 100 - 0.02x

x = 2400

y = 100 - 0.02(2400)

y = 100 - 48

y = 52

$52

(b) 50 = 100 - 0.02x

-50 = -0.02x

x = 2500

$2500

(c) 0 = 100 - 0.02x

0.02x = 100

x = 5000

$5000

Answer:

the length of IJ is 7.2 units.

Step-by-step explanation:

Since IJ is parallel to LM, we can use the property of similar triangles to solve for IJ.

Triangles KIJ and KLM are similar, so we have:

IJ/KL = KI/LM

Substituting the given values, we get:

IJ/8 = 18/20

IJ/8 = 9/10

Multiplying both sides by 8, we get:

IJ = (8)(9/10)

IJ = 7.2

Therefore, the length of IJ is 7.2 units.

Answer:

C I think.

Step-by-step explanation:

I don't know for sure, but A, B and D all talk about adding or subtracting the answers together, while C tells us to find the fraction of a fraction so I'm pretty sure you multiply. Hope this helps!

The estimated probability of a success is 3/5 or 0.6

From the question, we have the following parameters that can be used in our computation:

Integers = 5

Success = 3

The probability of success is then calculated as

Probability = Success/Integrs

Substitute the known values in the above equation, so, we have the following representation

probability = 3/5 = 0.6

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From the graph, she walked at a rate of \(\frac{25-10}{5-2}=5 \text{ ft/s}\).

Therefore, she walked faster on her next three walks compared to her first two walks.

Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

pls mrk me brainliest, i rly worked hard on this i need to get the next rank

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

No

Step-by-step explanation:

For ratios to be equivalent, they need to have something in common like 2:4

4:8. Those are common because ":2:4" is the simplified version of 4:8. (I mean it could be simplified to 1:2 but this is used as an example) (mark brainliest plas)

The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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If £1 = $1.33, £8 is $10.64.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

£1 = $1.33

Multiply 8 on both sides.

£8 = 8 x $1.33

£8 = $10.64

Thus,

£8 is $10.64

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Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

Answer:

57.67

Step-by-step explanation:

64+1.67-8

65.67-8

57.67

Answer:

540

Step-by-step explanation:

If you do 15x12 which is the formula for area for a rectangle, you get 180. That's only the area of one rectangle but if you multiply it by 3 you get 540 for the areas added together.

Answer:

540 cm

Step-by-step explanation:

you multiply 15 x12 If you are getting an area 15 x12=180 then you multiply 180 by 3  180x3=540 I think

Answer:

The new depth of the scuba diver is 330 feet below sea level.

Step-by-step explanation:

125 + 205 more below sea level = 330 below sea level

We have the next information

slope = 3/5

passes in the origin in (0,0)

The equation of the line in slope - intercept form is

where m is the slope and b is the y-intercept

The y-intercept is the value of the coordinate y, when the coordinate x is 0 in, this case because the line passes through the origin the y-intercept is 0

The equation of the line is

Answer:

need more info like how many snakes there our

Step-by-step explanation:

Answer:

\( \frac{2 |x| }{ \sqrt{3y} } \)

Answer:

puede hacer 26 pisos y le sobran 4 galletas

Answer:

Step-by-step explanation:

Area = (3√3 s2)/

A≈259.81

Answer:

259.8

Step-by-step explanation:

259.81 rounded to the nearest tenth is 259.8

Applying the triangle midsegment theorem, the measure of AC is: 32 units.

Since DE is a midsegment of triangle ABC, the triangle midsegment theorem therefore states that the length of DE is half of the length of the third side of the triangle, AC.

Given the following:

DE = 9x - 20

AC = 5x + 12

Find the value of x by creating an equation to solve:

DE = 1/2(AC) [based on the triangle midsegment theorem]

Substitute:

9x - 20 = 1/2(5x + 12)

Solve for x:

2(9x - 20) = 5x + 12

18x - 40 = 5x + 12

18x - 5x = 40 + 12

13x = 52

Divide both sides by 13

13x/13 = 52/13 [division property of equality]

x = 4

AC = 5x + 12

Plug in the value of x

AC = 5(4) + 12

AC = 32 units.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

The test statistic is \(z = -0.28\)

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

Central Limit Theorem

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

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 \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

\(p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775\)

13 of 30 at the other had this infection.

This means that:

\(p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905\)

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

\(H_0: p_1 - p_2 = 0\)

And at the alternate hypothesis, we test if there is difference, that is:

\(H_a: p_1 - p_2 \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.0333 - 0}{0.1191}\)

\(z = -0.28\)

The test statistic is \(z = -0.28\)

The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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Answer:

$5 per ticket

Step-by-step explanation:

$5 x 7 = $35

$5 x 4 = $20

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

i dont know

Step-by-step explanation:

Answer:

  0.81

Step-by-step explanation:

The probability that multiple independent events will occur is the product of the probabilities of each of them.

  p((<2pm on day 1) & (<2pm on day 2)) = p(<2pm on day 1)×p(<2pm on day 2)

  = (0.9)(0.9)

  p(before 2 pm on both days) = 0.81

Answer:

this is what my calculator said sorry: 1.0077696E16

Step-by-step explanation:

calculator