.3x + 2y = 4
4x + 7y =1

1:1

one blue to one yellow. IT IS THAT EZ

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

\(\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)\)

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

\(\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)\)

The distance the bird must fly to be directly above the fish is 7.5 feet.

Yes, if "a" is an uncountable set and "zb" is a countable set, then "a-b" must be uncountable.

To prove this statement, we first need to understand what it means for a set to be countable or uncountable. A set is countable if its elements can be put in one-to-one correspondence with the natural numbers (1, 2, 3, ...). On the other hand, a set is uncountable if it cannot be put in one-to-one correspondence with the natural numbers.

Now, suppose "a" is an uncountable set and "zb" is a countable set. Let "b" be the subset of "zb" that is contained in "a". Then, since "zb" is countable, "b" is also countable. Now, consider the set "a-b". This set consists of all the elements in "a" that are not in "b". Since "a" is uncountable and "b" is countable, it follows that "a-b" must be uncountable.

Therefore, we can conclude that if "a" is an uncountable set and "zb" is a countable set, then "a-b" must be uncountable.

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Answer:

the answer is 21

Step-by-step explanation:

21x2 = 42, 42+3 = 45

Answer: 21 cupcakes

Step-by-step explanation: x is the number of cupcakes. since she baked 45 cupcakes on tuesday, which is 3 more than 2x the number of cupcakes on monday, we would write 45=2x+3. First, subtract the 3 from both sides of the equation. This will give you 42=2x. Then divide both sides by 2. This will give you 21=x. So, the answer is 21

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

Explanation:

The given piecewise function is

\(f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}\)

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations

In a sense, we have three different functions but they are combined somehow.

If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.

-----------------------

f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition

f(x) = -4x+3

f(-5) = -4(-5)+3

f(-5) = 20+3

f(-5) = 23

------------------------

Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition

f(x) = 3x^2+1

f(12) = 3(12)^2+1

f(12) = 3(144)+1

f(12) = 432+1

f(12) = 433

------------------------

Side notes:

There are 22 cards in the Caleb trading card deck.

A deck of playing cards contains 52 total cards. Each of the four suits contains 13 playing cards. These are the diamonds, clubs, hearts, and spades. Although hearts and diamonds are red, spades and clubs are black.

In total, Missy has 156 cards. We split 156 by 4 since she has four times as many as they have.

156/4= 39

Ashe possesses 17 cards, while Caleb's number is still a mystery. They each have 39 cards, thus to determine how many cards Caleb has, we must take Ashe's cards away.

39-17=22

presently going over our work

Caleb has 22 cards in his hand.

Ashe is holding 17 cards.

They each have 39.

Which is 4 times less than how many cards Missy has

Missy has 156 cards.

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Step-by-step explanation:

please give me brainlest

Answer:

X=4-y

2(4-y)+4y=12

8-2y+4y=12

2y=12-8

2y=4

y=4/2

y=2

x=4-y

x=4-2

x=2

Answer:

4 1/4

Step-by-step explanation:

Turn the mixed numbers in to improper fractions.

find least common denominator.

Subtract them.

Then turn your answer back into a mixed number and you have how much the plant is above the ground which is 4 1/4

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME 

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

Answer:

y=-1/3x-5

Step-by-step explanation:

Based on the given information, a sample of 140 patients found that 35 were uninsured. To determine if there is enough evidence to support the director's claim, we need to conduct a hypothesis test.

The null hypothesis (H0) is that the proportion of uninsured patients is equal to the director's claim. The alternative hypothesis (Ha) is that the proportion of uninsured patients is not equal to the director's claim.
To test this, we calculate the test statistic and compare it to the critical value at the 0.02 significance level. If the test statistic falls in the rejection region, we reject the null hypothesis.
Using the formula for proportions, the test statistic is calculated as (35/140) - (director's claim).

Then, we compare the test statistic to the critical value from the standard normal distribution.
If the test statistic falls in the rejection region (critical value > test statistic), we reject the null hypothesis and conclude that there is enough evidence to support the director's claim.

If not, we fail to reject the null hypothesis and do not have enough evidence to support the claim.
In order to provide a more accurate answer, please provide the director's claim and the critical value at the 0.02 level.

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Answer:

length=l=21

width = w =18

Step-by-step explanation:

78 = 2(2w +3 +w)

39 = 2w + 3+ w

39= 3w + 3

36=3w

18 =w

l=w+3 =18+ 3=21

so dimensions are

length=l=21

width = w =18

I think this is the answer, if not i'm so sorry :/

\( \\ \\ \\ \\ \\ \\ \\ \)

Acute Angle : - Two angles sum is 90° are called Acute Angle.

An angle which is measuring less than 90 degrees is called an acute angle.

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Maximum area enclosed by Mona for the fencing is 640,000 square yards. And the dimensions( length and width ) of the rectangle to enclosed maximum area are 800 yard each.

As given in the question,

Perimeter of the rectangular area encloses for fencing = 3200 yards

Let 'x' and 'y' be the length and width of the rectangle.

2( x + y ) = 3200

⇒ x + y = 3200/2

⇒y = 1600 - x

Area of rectangular field 'A' = xy

⇒ A = x ( 1600 - x )

⇒ A = 1600x - x²

Differentiate both the side of the equation we get,

dA/dx = 1600 - 2x

For Maximum Area dA/dx = 0

1600 -2x =0

⇒ 2x = 1600

⇒ x= 800 yards

Now, y = 1600 - 800

          = 800 yards

Maximum area = (800) (800)

                        = 640,000 square yards

Therefore, the dimensions of the rectangular area are 800yards each and its maximum area is equal to 640,000 square yards.

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Answer:

Hi I have this same question but I'm torn between certain and very likely it is on of those options.

Step-by-step explanation:

Answer:

Domain: [-2, 2)

Range: [-4, 4)

Step-by-step explanation:

When using interval notation, it is important to take note at what the endpoint of the function look like. If the endpoint is a hole, then it will be a parenthesis, if it is a solid endpoint, then it is a bracket. Then you can think about what the smallest x value is and the largest x value to find the domain. Then, for the range, find the smallest y value and the largest y value. And just keep in mind that the minimum goes first, and then the maximum.

Answer:

do it your self cuz your smart

Step-by-step explanation:

i know it

Answer:

The y-intercept is (0, 1.2). To find the slope, use the distance formula. The distance formula is Y2-Y1/X2-X1.

1.4-1.2/1-0

0.2/1

0.2

The slope is 0.2. The format for an linear equation is y=mx+b. So, the equation of the line is y=0.2x+1.2.

:)

Answer:

C

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

so we know the equation to get the total forces is

\(\cfrac{Kg\cdot m}{s^2} ~~ \begin{cases} Kg=kilograms\\ m=meters\\ s=seconds \end{cases}\implies Kg\cdot \cfrac{m}{s^2}\implies Kg\cdot (acceleration)\)

the idea being, well, we have to do unit conversion, we know the object has a mass of 80 grams, hmmm that's not Kilograms, however since there are 1000 grams in a Kg, we can just convert that, and the acceleration of it is 20 m/s², so

\(\stackrel{ Kilograms }{\cfrac{80}{1000}}\cdot \stackrel{ accelaration }{20}\qquad \impliedby \textit{sum of the forces}\)

The wavelength of the wave is approximately 2.09m, and the speed of the wave is approximately 1.99m/s. values were obtained by analyzing given expression and utilizing relationships between wave parameters.

To find the wavelength, we can use the formula λ = v/f, where λ represents the wavelength, v represents the speed of the wave, and f represents the frequency of the wave. However, in the given expression, we are not directly given the frequency. Instead, we have the angular frequency ω, which is related to the frequency as ω = 2πf.By comparing the given expression with the general wave equation, we can identify that the wave number k = 3.00m^(-1). Since the wave number is related to the wavelength as k = 2π/λ, we can rearrange the equation to find the wavelength: λ = 2π/k. Plugging in value for k, we get λ = 2π/(3.00m^(-1)), which simplifies to approximately λ = 2.09m.

To determine the speed of the wave, we can use the formula v = λf, where v represents the speed of the wave, λ represents the wavelength, and f represents the frequency. As mentioned earlier, we have the angular frequency ω instead of the frequency f. However, we know that ω = 2πf, so we can rearrange this equation to find f = ω/(2π). Plugging in the given angular frequency ω = 6.00s^(-1), we get f = 6.00s^(-1)/(2π), which simplifies to approximately f = 0.955Hz.Now that we have the wavelength λ = 2.09m and the frequency f = 0.955Hz, we can use the formula v = λf to find the speed of the wave. Plugging in the values, we get v = (2.09m)(0.955Hz), which gives us the speed of the wave v = 1.99m/s.

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Answer:

250%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1. Regular Gross Pay: $360 2.Overtime Pay: $40.50 3.Total Pay for the Week: $400.5 4. Annual Salary: $11,478

5. Semi-Monthly Salary: $478.25.

Here are the solutions to the given problems:

1. Regular Gross PayScarlet worked a 40-hour week at $9 per hour.

Regular gross pay of Scarlet= $9 × 40= $360

2. Overtime PayScarlet worked 43 hours in total but 40 hours of the week is paid as regular.

So, she has worked 43 - 40= 3 hours as overtime. Scarlet receives time and a half pay for each hour of overtime that she works. Therefore, overtime pay of Scarlet= $9 × 1.5 × 3= $40.5 or $40.50

3.Total Pay for the Week The total pay of Scarlet for the week is the sum of her regular gross pay and overtime pay.

Total pay of Scarlet for the week= $360 + $40.5= $400.5

4. Annual SalaryJohn's weekly salary is $478.25.

There are two pay periods in a month, so he will receive his salary twice in a month.

Total earnings of John in a month= $478.25 × 2= $956.5 Annual salary of John= $956.5 × 12= $11,478

5. Semi-Monthly SalaryJohn's semi-monthly salary is his annual salary divided by 24, since there are two semi-monthly pay periods in a year. Semi-monthly salary of John= $11,478/24= $478.25.

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Given that the High Plains Aquifer overlaps so many states, less data is now available to the latter might water use in one state affect water use in another state.

An aquifer is a layer of unconsolidated materials, rock cracks, or water-bearing, porous rock that lies underground. Using a water well, one may draw groundwater from aquifers. The properties of aquifers differ widely.

if a state utilizes excessive amounts of water and is "upstream" from another state. Less data is now available to the latter. Similar to how water is distributed uniformly in a pool, aquifers do the same thing underground; as a result, if one state uses more water than it should, it decreases the levels for all the other states. Due to this, management must now take place at the interstate level with more political entities participating. A resolution is inevitably more difficult the more people involved.

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Answer:

x = 43

Step-by-step explanation:

Find out the length of the other side.

48 + 25 = 73

Use that to find x.

x + 30 = 73

- 30        -30

x = 43

Answer:

20% of 150 is 30 :)

Step-by-step explanation:

Answer:

y=-1/2+6

Step-by-step explanation:

Answer:

Y= -1/2x + 6

Step-by-step explanation:

The true statement is "A perfect cube represents the volume of a cube with equal integer side lengths." option c.

Option C says that a perfect cube represents the volume of a cube with equal integer side lengths.

This statement is true for all perfect cubes. In other words, if we have a cube with sides of length 3 units.

then the volume is simply the length times the width times the height, or 3 x 3 x 3 = 27 cubic units.

This applies to all perfect cubes, regardless of their size.

So to sum it up, option C is the correct statement about all perfect cubes. A perfect cube represents the volume of a cube with equal integer side lengths.

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Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4