Can someone help me with this?

The length of the shorter leg is 2.5 feet and the longer leg is 4.5 feet.

It is important to note that the Pythagoras theorem states that the square of the sides are equal to the hypotenuse.

This will be:

a = First leg = x

b = Second leg = x + 4

c = Hypothenuse = 7

This will then be:

a² + b² = c²

x² + (x + 4)² = 7²

x² + x² + 8x + + 16 = 49

Collect like terms

2x² + 8x + 16 - 49

2x² + 8x - 33

Using the quadratic formula, x = 2.5.

Therefore shorter leg = 2.5 feet

Longer leg = 2.5 + 4 = 6.5 feet

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The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Answer:

x>5 or x<-8

Step-by-step explanation:

x +4> 9 or 4x<-32

Solve the first one first

x+4>9

Subtract 4

x+4-4 > 9-4

x >5

Then solve the second one

4x<-32

Divide by 4

4x/4 < -32/4

x < -8

x>5 or x<-8

The points are Diego would end up at -20, Elena would be at 15, Noah would end up at -30 and Lin would end up at 25 after 5 seconds of cycling.

The four people start at the same point, represented by 0 on the number line. After five seconds of cycling, each person would have moved according to their speed. Diego cycles at -4 meters per second, so he would end up at -20 after 5 seconds. Elena cycles at 3 meters per second, so she would end up at 15 after 5 seconds. Noah cycles at -6 meters per second, so he would end up at -30 after 5 seconds. Finally, Lin cycles at 5 meters per second, so he would end up at 25 after 5 seconds. The total distance cycled by each person in 5 seconds can be calculated by multiplying the speed of each person by 5. This would give us -20 for Diego, 15 for Elena, -30 for Noah and 25 for Lin. These numbers represent the finish points for each person on the number line. As the starting point was 0, these numbers represent the total distance each person has travelled in 5 seconds.

Diego: -4 m/s * 5 s = -20

Elena: 3 m/s * 5 s = 15

Noah: -6 m/s * 5 s = -30

Lin: 5 m/s * 5 s = 25

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Answer:

the answer is 2

Step-by-step explanation:

1/2 plus 1 is 1 1/2 then add another 1/2

Answer:

2

Step-by-step explanation:

1/2 + 1 1/2 = 2

Answer:

c(x) = 5.50 + 21.60x

Step-by-step explanation:

To start, we are told that the service fee of 5.50 is added to the set price per ticket. So we can automatically eliminate B and D

Now, to find how much it costs per ticket, we have to divide 108.00 by 5 since we are told that it costs $108 to buy 5 tickets

108.00/5 = 21.60

This means that it costs $21.60 per baseball ticket

So the third answer choice is correct

Answer:

x=7

Step-by-step explanation:

2x-0.4=1+1.8x

Subtract 1.8x from both sides

0.2x-0.4=1

Add 0.4 to both sides of the equation

0.2x=1.4

Divide both sides by 0.2

x=7

Answer:

55 degrees

Step-by-step explanation:

well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.

hope that helps!

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer:

$ 11

Step-by-step explanation:

A game costs $ x.

Two games costs 2x.

50 + 2x = 72

2x = 72 - 50

2x = 22

x = 11

Answer:

( x , y )

Step-by-step explanation:

hope this helps

The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0

We can begin by isolating the absolute value on one side of the inequality:

4/3|1/4x+3|<4

|1/4x+3|<3/2

We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:

1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11

1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0

So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0

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Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

In the expression q/3 + 6 + 9q,

q/3 is a term

6 is a constant term

9q is another term

The coefficient is the numerical factor that is being multiplied by a variable in a term. In this expression,

the coefficient of the term q/3 is 1/3, since q/3 can be written as (1/3)q

the coefficient of the term 9q is 9

Note that the constant term 6 does not have a coefficient, since it is not being multiplied by any variable.

So, to summarize:

q/3 is a term with a coefficient of 1/3

6 is a constant term with no coefficient

9q is a term with a coefficient of 9.

Answer:

I can't

Step-by-step explanation:

I don't know, bro sorry

Given:

The function is,

Replace x by -x in the given function,

It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.

Thus, the given function is odd.

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

The largest value of x that satisfies the inequality is approximately -1.8639.

To find the largest possible value of x that satisfies the inequality 1/(x + 2)⁶ > 1,000,000, we can start by rearranging the inequality:

1/(x + 2)⁶ > 1,000,000

Taking the reciprocal of both sides:

(x + 2)⁶ < 1/1,000,000

Now, let's take the sixth root of both sides:

x + 2 < (1/1,000,000)\(}^{1/6\)

Calculating the right side:

x + 2 < 0.1361

Subtracting 2 from both sides:

x < 0.1361 - 2

x < -1.8639

Therefore, the largest value of x that satisfies the inequality is approximately -1.8639.

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Answer:

x=52.5

Step-by-step explanation:

Since ABCD is a parallelogram, B= ADC. So angle ADC is 105. Next since ED=AD, angle EAD=angle AED=x and ADE=75. So 2x+75=180, 2x=105, x=105/2

In parallelogram ABCD, m∠B = 105° then the value of x = 52.5

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Since ED ≈ AD,

∆AED is an isosceles triangle where ∠EAD and ∠AED has the same angle measurement

Now, ∠B = 105°, since ABCD is a parallelogram,

∠B = ∠D

∠ADC = 105°

∠ADE = 180°-105° = 75°

Now, ∠EAD + ∠AED+ ∠ADE = 180°

∠AED+∠AED+∠ADE = 180°

x+x+75°=180°

2x=180+75°

2x = 105°

x = 52.5°

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Divide the total cost by the number of games bought. The store with the lowest amount is the better buy.

Store A : 8.36/2 = $4.18 each game

Store B: 12.84/3 = $4.28 each game

Store A has the lower price per game so Store A has the better deal.

Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

A nondirectional hypothesis using the t-score of -.493, degrees of freedom of 14, and a p-value of .629 could be:

"There is no significant difference between the two groups on the variable being measured."

This hypothesis is nondirectional because it does not specify which group would have a higher or lower score. The t-score and p-value indicate that the difference between the two groups is not statistically significant at the 95% confidence level.

"For the variable being measured, there is no significant difference between the two groups."

Because it does not state which group would have a greater or lower score, this hypothesis is nondirectional. The difference between the two groups is not statistically significant at the 95% confidence level, according to the t-score and p-value.

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Answer:

y= (x-8)/4

Step-by-step explanation:

y=4x+8

x=4y+8

x-8=4y

y=(x-8)/4

Answer:

The number 3 represents the fixed cost in the equation which is the flat charge.

Answer:

224

Step-by-step explanation:

Solution,

n.o of stance on each page=14

n.o of pages=16

Now,

the total n.o of stamps=14×16

=224,,

The calculated area of the wall art is 474 square inches

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

The composite figure

The area of the figure is the sum of the individual areas

So, we have

Area = 21 * 9 + 9 * 19 + 6 * 19

So, we have

Area = 474

Hence, the area is 474 square inches

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In order to calculate the diameter of the soap bubble, we need to use the Laplace equation and solve for the radius of the bubble.The diameter of the soap bubble is 8.04 x 10⁻⁴ mm.

We will then double the radius to get the diameter of the bubble.Here's the solution:

Given that:

Radius of the soap bubble =

r = 0.065 mm

= 6.5 x 10⁻⁵ m

Surface tension of soap in air =

σ = 0.019 N/m

Pressure outside the bubble =

P₂ = 75.0 kPa

= 75,000 Pa

Ambient temperature =

T = 300 K

Atmospheric pressure =

P₁ = 1 atm = 101,325 Pa

Laplace's equation states that the pressure inside the bubble is given by:

Pinside = Poutside + (2σ/r)

where σ is the surface tension and r is the radius of the bubble.

Rearranging the above equation to solve for the radius of the bubble:

2σ/r = Pinside - Poutside

r = 2σ/(Pinside - Poutside)

Substituting the given values into the above equation:

r = [2 x 0.019] / [Pinside - 101325]

After the soap bubble rises up, the pressure outside the bubble becomes 75 kPa.

Therefore:

Pinside - 101325 = 75000

Pinside = 176325 Pa

Substituting this value of Pinside into the above equation:

r = [2 x 0.019] / [176325 - 101325]

= 4.02 x 10⁻⁷ m

The diameter of the soap bubble is twice the radius:

D = 2r = 2 x 4.02 x 10⁻⁷ m

= 8.04 x 10⁻⁷ m

Converting the diameter to mm:

D = 8.04 x 10⁻⁷ m x 1000 mm/m

= 8.04 x 10⁻⁴ mm (answer)

Therefore, the diameter of the soap bubble is 8.04 x 10⁻⁴ mm.

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Based on the information about the APR, Andy would pay $878.48 more than Brett.

From the information, Brett and Andy applied for the same credit card from the same bank. The bank checked both of their FICO scores, Brett had an excellent credit rating, and Andy had a poor credit rating. Brett was given a card with an APR of 12.6%. Andy was given a card with an APR of 21.1%.

Brett's finance charge for the year would be $10,449.63 * 12.6%:

= $1320.47.

Andy's finance charge for the year would be $10,449.63 * 21.1%:

= $2198.95.

Andy would pay $2198.95 - $1320.47 = $878.48 more than Brett.

Therefore, Andy would pay $878.48 more than Brett.

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