Please help and thank you

[tex]\bf \cfrac{3}{30}\implies \cfrac{3\cdot 1}{3\cdot 10}\implies \cfrac{3}{3}\cdot \cfrac{1}{10}\implies 1\cdot \cfrac{1}{10}\implies \cfrac{1}{10}[/tex]

For this case, we have that by definition, the Pythagorean theorem can only be applied to rectangular triangles.

The Pythagorean theorem states that:

[tex]a ^ 2 + b ^ 2 = c ^ 2[/tex]

Where:

a, b: are the legs

c: it is the hypotenuse.

In this case the rectangle triangle is in option A.

Answer:

Option A

Answer:

The first triangle

Step-by-step explanation:

The Pythagoras theorem is used to calculate the side length of the right angle triangle.

The theorem says that the sum of the square of the two shorter legs of a right angle is equal to the square of the hypotenuse.

From the given triangles, the only one which is a right angle triangle is the one with side lengths 2 and 3 .

The first triangle from left to right.

Answer:

A) 7

B) 1

C)6

D) 7

Step-by-step explanation:

Clock arithmetic is just like the basic arithmetic you know... with one difference... there are no numbers beyond 12 (or 24).

In your question, you seem to indicate to consider only the 12-hour clock system, much like it is used in the USA.

So, every time you pass 12, you start at 1 again. So, your answer has to be under 13.  If your answer is still > 12 after you subtracted 12, subtract 12 again, and again, and again, until you get something <= 12.

That's what we call a modulo 12.

A) 8 + 11 = 19...  but then you subtract 12... 19 - 12 = 7

B) 4 + 9 = 13, 13 - 12 = 1

C) 7 * 6 = 42, 42 - 12 = 30, 30-12 = 18, 18 -12 = 6

D) 5 * 11 = 55, 55 - 12 = 43, 43 - 12 = 31, 31 - 12 = 19, 19 - 12 = 7

By performing the calculations and finding the remainders, we can determine the answers to the given expressions. The required answers are: A) 7, B) 1, C) 6, D) 7.

Let's solve each calculation step by step:

A) 8 + 11 (12 clock): 8 + 11 is 19. Since we are using a 12-hour clock, we need to take the remainder when dividing 19 by 12. 19 divided by 12 gives a remainder of 7. So, the answer is 7.

B) 4 + 9 (12 clock): 4 + 9 is 13. Dividing 13 by 12 gives a remainder of 1. So, the answer is 1.

C) 7 x 6 (12 clock): 7 multiplied by 6 is 42. Dividing 42 by 12 gives a remainder of 6. So, the answer is 6.

D) 5 x 11 (12 clock): 5 multiplied by 11 is 55. Dividing 55 by 12 gives a remainder of 7. So, the answer is 7.

ANSWER

The correct answer is A.

EXPLANATION

The given triangle is a right isosceles triangle because one angle is 90° and the base angles will be 45° each.

This means that:

[tex]a = b[/tex]

Using, the Pythagorean Theorem, we have

[tex] {a}^{2} + {a}^{2} = {(9 \sqrt{2} )}^{2} [/tex]

We simplify to get:

[tex]2{a}^{2} = 81 \times 2[/tex]

[tex]{a}^{2} = 81[/tex]

Take positive square root,

[tex]a = \sqrt{81} [/tex]

This implies that

[tex]a = 9[/tex]

Therefore b is also equal to 9

The correct answer is A.

Answer: option a

Step-by-step explanation:

You can use these identities:

[tex]sin\alpha=\frac{opposite}{hypotenuse}\\\\cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Then, to find "a" you know that:

[tex]\alpha=45\°\\adjacent=a\\hypotenuse=9\sqrt{2}[/tex]

Substituting:

[tex]cos(45\°)=\frac{a}{9\sqrt{2}}[/tex]

Now you must solve for "a":

[tex]a=cos(45\°)(9\sqrt{2})\\\\a=9in[/tex]

To find  "b", you know that:

[tex]\alpha=45\°\\opposite=b\\hypotenuse=9\sqrt{2}[/tex]

Substituting:

[tex]sin(45\°)=\frac{b}{9\sqrt{2}}[/tex]

Now you must solve for "b":

[tex]b=sin(45\°)(9\sqrt{2})\\\\b=9in[/tex]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]1,275\ m^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of complete rectangle minus the area of the smaller inside rectangle

so

[tex]A=(65)(30)-(45)(15)=1,950-675=1,275\ m^{2}[/tex]

Alternative Method

The area of the shaded region is equal to the area of three rectangles

[tex]A=(10)(30)+(45)(15)+(10)(30)=1,275\ m^{2}[/tex]

Answer:

2 cups of apple juice

Step-by-step explanation:

In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times

1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups

Last choice the area becomes 25 times greater

Answer:

yes, 18,000g = 18kg

Step-by-step explanation:

I honestly think it is negative

i can confirm the answer is actually Zero.

Answer:

$1594.40

Step-by-step explanation:

The question is on monthly benefit for social security

Average amount earned per month=$3750

Benefit earned in first $680 = 90/100 ×3750 = $612

Benefit earned for amount over $680 = 32/100 ×($3750-$680)

0.32×3070=$982.40

Total amount earned as benefit per month= $612+$982.40 =$1594.40

Final answer:

Mr. Jenkins' monthly Social Security benefit is calculated by adding 90% of the first $680 of his average monthly earnings to 32% of the earnings above $680. The total benefit comes out to be $1,594.40 per month.

Explanation:

To calculate Mr. Jenkins' monthly Social Security benefits, we use the formula provided which incorporates two rates: 90% of the first $680 earned, and then 32% of the earnings over $680. Since Mr. Jenkins has an average monthly income of $3,750, the calculation would look like this:

First $680 of earnings: $680 x 0.90 = $612

Remaining earnings: ($3,750 - $680) x 0.32 = $3,070 x 0.32 = $982.40

Total monthly benefit: $612 + $982.40 = $1,594.40

Therefore, Mr. Jenkins' monthly Social Security benefit will be $1,594.40.

The numbers in this addition problem are given in scientific notation. First we should convert these values into decimal notation by moving the decimal points over by the power of 10 that the significant figures are being multiplied by.

The first number is being multiplied by 10^3, so the decimal place will move to the right 3 places to become 1240.

The second number is being multiplied by 10^4, so it becomes 23000.

Add these together to get:

1240 + 23000 = 24240

The answer is 24240.

Answer:

A right tailed test

Step-by-step explanation:

In hypothesis testing there are two types of hypotheses;

The null hypothesis, H0 and the alternative hypothesis, Ha. The null hypothesis is the hypothesis of no difference and as such it always has an equality sign;

=, ≤, ≥

On the other hand the alternative hypothesis complements the null hypothesis meaning that if the null hypothesis is rejected then we take the alternative hypothesis to be true.

The kind of test to be carried out in hypothesis testing emanates from the inequality sign of the alternative hypothesis. The following are the key points to note, if the alternative hypothesis contains;

≠, then this automatically becomes a two tailed test

<, then this automatically becomes a left tailed test since the inequality sign is pointing towards the left.

>, then this automatically becomes a right tailed test since the inequality sign is pointing towards the right.

In the scenario given the following will be the set of hypotheses to be tested;

H0: u ≤ 45

Ha: u > 45 ( the hypothesis that the average speed of cars is greater than the speed limit)

The kind of test to be used is thus a right tailed test since the alternative hypothesis contains >.

I hope this will help.

Answer:

Right tailed test

Step-by-step explanation:

Answer:

The answer D) 0.9

Step-by-step explanation:

i did this on USATestprep its correct

The value of the correlation coefficient is determined by how closely the data points in a scatter plot align along a straight line. Without viewing the scatter plot, it's not possible to accurately estimate the value of the correlation coefficient.

The estimate of the correlation coefficient (r) is based on the degree to which the points graphed in the scatter plot align along a straight line. The value of r varies between -1 and 1. If the points are very close to forming a straight line and the line slopes upwards, then r is close to 1. If the points are closer to forming a random cloud or a shape other than a line, the r is close to 0. So without viewing the scatter plot, it's impossible to choose the best estimate for r.

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The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The experimental probability of an event happening is the ratio of the number of times the event occurred to the total number of trials.

In this case, the event is a train arriving on time, and the trials are the last 18 trains to arrive at Law Station.

Out of the last 18 trains to arrive at Law Station, 16 were on time.

The experimental probability of the next train to arrive on time is

= 16/18

Simplifying this fraction, we get:

= 8/9

Thus,

The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.

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Final answer:

The experimental probability that the next train will arrive on time at the law station, given that 16 out of the last 18 trains were on time, is approximately 88.9% or 8/9.

Explanation:

The question asks about the experimental probability that the next train to arrive at the law station will be on time given past performance. To calculate this, you use the formula for experimental probability, which is:

Probability = (Number of successful outcomes) / (Total number of trials)

In this case, the number of successful outcomes (trains that arrived on time) is 16, and the total number of trials (total trains arrived) is 18. Therefore, the experimental probability that the next train to arrive will be on time is:

16/18 = 8/9 ≈ 0.889

So, there is approximately an 88.9% chance that the next train will arrive on time based on past results.

Answer: 14/25 = 56/100

               11/20 =  55/100

               14/25 > 11/20

Step-by-step explanation:

The least common multiple of 20 and 25 is 100.

(100 = 20*5, 25*4)

So we can take the common denominator 100.

14*4/25*4 =56/100. ∴14/25 = 56/100

11*5/20*5  =55/100. ∴11/20  = 55/100

56>55

∴56/100 > 55/100

∴14/25 > 11/20

Hope it's good;)

Answer:

16

Step-by-step explanation:

The perpendicular diameter to the chord divides it into two congruent parts.

Since

we have that XT=TS.

Hence,

3b-1=b+5,

3b-b=5+1,

2b=6,

b=3.

So,

XT=3·3-1=9-1=8

TS=3+5=8

and

XS=XT+TS=8+8=16.

Answer: 48

Step-by-step explanation:

336/7=48

Answer:

48

Step-by-step explanation:

Well, 336/7 is 48

Answer:

The solution is:

Part A. [tex]\sqrt{5}^{\frac{7k}{3}})[/tex] which is sqrt(5)^7k/3[/tex]

Part B. k = 18/7

Step-by-step explanation:

Part A.

To solve this part, we're going two use THREE important properties of exponents:

1. [tex](x^{n})^{m} = x^{nm}[/tex]

2. [tex]\frac{x^{n}}{x^{m}} = x^{n-m}[/tex]

3. [tex]\sqrt[n]{x^{m}} = x^{\frac{m}{n} }[/tex]

Let's work the numerator using the properties 1, 2 and 3:

[tex](\sqrt{5}^{3} )^{\frac{k}{9} } }  = (\sqrt{5}^{3\frac{k}{9}}) = (\sqrt{5}^{\frac{k}{3}})[/tex]

Let's work the denominator using the properties 1, 2 and 3:

[tex](\sqrt{5}^{6} )^{-\frac{k}{3} } }  = (\sqrt{5}^{6\frac{k}{3}}) = (\sqrt{5}^(2k))[/tex]

Now dividing the numerator by the denominator:

[tex]\sqrt{5}^{\frac{k}{3}-(-2k)})=\sqrt{5}^{\frac{7k}{3}})[/tex]

Part B

if [tex]5^{\frac{3}{2} } 5^{\frac{3}{2}} = \sqrt{5}^{\frac{7k}{3}})[/tex]

Then:

[tex]5^{3} = 5^{\frac{7k}{6}})[/tex]

So [tex]\frac{7k}{6}} = 3[/tex]

Solving for k, we have:

k = 18/7

Answer:

The probability of rolling a 3 or a 6 is 1/4....

Step-by-step explanation:

Number of times outcome occurred = 10+6+4+8+6+6

Number of times outcome occurred = 40

Number of times 3 occurred = 4

Number of times 6 occurred = 6

Now add both the values: 4+6 =10

Now to find the  experimental probability of rolling a 3 or a 6, You just simply divide number of times outcome occurred by 10

= 10/40

Cancel the term by the table of 5.

10/40

=2/8

Now further divide it by the table of 2

= 1/4

Thus the probability of rolling a 3 or a 6 is 1/4....

Answer:

125 times larger

Step-by-step explanation:

Let's say the radius is 3, just as an example.

The formula of a sphere is V=4/3 pi r^3

Then we can just substitute and test it out.

V=4/3 pi (3)^3

V=4/3 pi (27)

V=36 pi

Then multiple the previous radius by 5 to test it out.

V=4/3 pi (15)^3

V=4/3 pi (3375)

V=4500 pi

Then divide the bigger one by the smaller one

You will get 125, therefore it is 125 times larger

hope this helps :D

Set the equation to equal 0:

-x^2 +5 = 0

Subtract 5 from both sides:

-x^2 = -5

Multiply each side by -1:

x^2 = 5

Take the square root of both sides:

x = √5

Complete the solution by having both positive and negative:

x = √5 and x = -√5

Ordered pair: (√5,-√5)

Answer:

The rate of change of g(x) is 7/8 which when multiplied by 20/21 gives 5/6, the rate of change of f(x). This means the answer is the second one.

Step-by-step explanation:

Answer:

a.  1, 1, 1, 1

Step-by-step explanation:

We'll use the formula f(x) = x² for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

We start with x0 = 1

x0 = -1  => f(x) = x² = (-1)² = 1

x1 = 1 => f(x) = x² = (1)² = 1

x2 = 1 => f(x) = x² = (1)² = 1

x3 = 1  => f(x) = x² = (1)² = 1

x4 = 1 => f(x) = x² = (1)² = 1

Answer:

A. 1, 1, 1, 1

Step-by-step explanation:

We start with x0 = 1

x0 = -1  => f(x) = x² = (-1)² = 1

x1 = 1 => f(x) = x² = (1)² = 1

x2 = 1 => f(x) = x² = (1)² = 1

x3 = 1  => f(x) = x² = (1)² = 1

x4 = 1 => f(x) = x² = (1)² = 1

Answer:

The original number of cars in parking Lot A was 72 cars and the original number of cars in parking Lot B was 36 cars

Step-by-step explanation:

Let

x----> original number of cars in parking Lot A

y----> original number of cars in parking Lot B

we know that

x=2y ----> equation A

(x-10-13)=y+13 ----> equation B

substitute equation A in equation B and solve for y

(2y-10-13)=y+13

(2y-23)=y+13

2y-y=13+23

y=36 cars

Find the value of x

x=2y -----> x=2(36)=72 cars

therefore

The original number of cars in parking Lot A was 72 cars

The original number of cars in parking Lot B was 36 cars

Parking Lot B initially had 36 cars, and Parking Lot A had twice that amount, which is 72 cars. After 10 cars left Parking Lot A, and 13 cars were transferred from Parking Lot A to B, both lots ended up with the same number of cars.

The question asks us to solve a word problem involving the principle of algebraic equations to determine the number of cars in two parking lots. Let's refer to the number of cars in Parking Lot B as x. Therefore, Parking Lot A has 2x cars since it has twice as many cars as Parking Lot B.

According to the problem, after 10 cars leave Parking Lot A and 13 cars move from A to B, both lots end up with the same number of cars. We can set up the following equation to represent this scenario:

Initial condition: A has 2x cars, B has x cars.

10 cars leave A: A now has 2x - 10 cars.

13 cars move from A to B: A now has (2x - 10 - 13) cars, and B now has (x + 13) cars.

Both lots have the same number of cars: 2x - 10 - 13 = x + 13.

Solving the equation:

2x - 23 = x + 13

2x - x = 13 + 23

x = 36

Therefore, Parking Lot B initially had 36 cars, and Parking Lot A had 72 cars (2×36).

Answer:

i might be wrong but i think its 900

Step-by-step explanation:

Answer:

236.625

Step-by-step explanation:

7.5 * 7.5 = 56.25

56.25 * 3.14 = 176.625

176.625 + 60 = 236.625

Hello fellow human! I hope this helps and possibly answers your question ♡＼(￣▽￣)／♡ Best of luck!

Answer:

Rounded to the nearest hundredth: 2.34 g/cm³

Step-by-step explanation:

Here's the formula to find the Density: [tex]p=\frac{m}{v}[/tex]

This is what the variables mean:

p = density

m = mass

V = volume

Now let's see what clues you have from this toy spoon!

p = ? We are going to solve to find out!

m = 7.5 grams

V = 3.2 mL

First, we should know that there is only 1 gram in each mL and vise-versa, so there is no need to convert these measurements.

Next, we plug in the values from what we know into the equation.

This is the formula: [tex]p=\frac{m}{v}[/tex]

Now if we plug in our values we get: [tex]p=\frac{7.5}{3.2}[/tex]

From that we get, p = 2.34375‬

Finally, if we round our answers we get:

Rounded to the nearest hundredth: 2.34 g/cm³

Rounded to the nearest tenth: 2.3 g/cm³

g/cm³ is the unit for density (in grams), so its up to you to put it or not!

Have an amazing day!! (♡°▽°♡) I hope you found this helpful ;))

The density of the toy spoon is approximately 2.34 g/mL.

The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the toy spoon is 7.5 grams and its volume is 3.2 mL. To find the density, we divide the mass by the volume:

Density = Mass / Volume = 7.5 g / 3.2 mL

Calculating this, we get a density of approximately 2.34 g/mL.

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Answer:

[tex]\large\boxed{q\geq-8}[/tex]

Step-by-step explanation:

[tex]7q-5\leq10q+19\qquad\text{add 5 to both sides}\\\\7q\leq10q+24\qquad\text{subtract 10q from both sides}\\\\-3q\leq24\qquad\text{change the signs}\\\\3q\geq-24\qquad\text{divide both sides by 3}\\\\q\geq-8[/tex]

The answer is:

The coordinates of the midpoint are:

[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

We are given the points:

[tex](3,5)\\[/tex]

and

[tex](-2,0)\\[/tex]

Where,

[tex]x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0[/tex]

So, calculating the midpoint, we have:

[tex]MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})[/tex]

[tex]MidPoint=(\frac{1}{2},\frac{5}{2})[/tex]

[tex]MidPoint=(0.5,2.5)[/tex]

Hence, we have that the coordinates of the midpoint are:

[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]

Have a nice day!