Determine the number of solutions of the system.
3x + 2y = 1
3x + 2y = 4
The system has no solution.
The system has one solution,
The system has infinitely many solutions,

Answer:

2

Step-by-step explanation:

\(\angle ABC\) can be congruent to \(\angle DBC\) sometimes, if ray BC is an angle bisector of \(\angle ABC\).

\(m \angle DBC = 30^{\circ}\\\\m \angle ABC = 20^{\circ}\)

This implies that  \(\angle ABC\) will not always be congruent to \(\angle DBC\) if ray BC lies within \(\angle ABD\).

\(m \angle DBC = 25^{\circ}\\\\m \angle ABC = 25^{\circ}\)

This implies that  \(\angle ABC\) can sometimes be congruent to \(\angle DBC\) if ray BC is an angle bisector that lies within \(\angle ABD\).

\(\angle ABC\) can be congruent to \(\angle DBC\) sometimes, if ray BC is an angle bisector of \(\angle ABC\).

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0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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The golfball may be as tall as 64 feet. The greatest or minimum means that potential on whether the quadratic function has a vertex. The graph exhibits a minimum when the primary coefficient is in the positive range. A maximal condition is when it is negative.

The x-coordinate of the vertex may be determined by using the equation, and the y-coordinate can be obtained by substituting the vertices into to the primary purpose.

Given :

      \(h=-16t^{2} +64t\)

Let's start by describing the generic formula for a quadratic function:

                   \(y=ax2+bx+c\)

So,

      \(a=-16\)

        \(b=64\)

\(a\) is the learning coefficient, \(b\) is the linear coefficient, and \(c\) is the constant term.

To find the maximum of the given function, we find it through the vertex. We use the following formula for the \(t\)

coordinate:

                      \(Vt= \frac{-b}{2a}\)

When we substitute the values of \(a\) and \(b\) , we get:

                                       \(Vt= \frac{- 64}{2 (-16)}\)

The result of solving is:

                        \(Vt=\frac{- 64}{-32} = 2\)

In the original code, we replace the discovered value for the vertex's t coordinate to determine the height which the golf ball needs to reach:

                          \(h=-16(2)^{2} +64(2)\)

By condensing, we arrive at:

               \(h=-16(4)+128=64-128=64\)

 The golf ball may rise up to 64 feet in height.                          

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                              "Complete question"

The height in feet of a golfball hit into the air is given by h= -16t^2 + 64t, where t is the number of seconds elapsed since the ball was hit. What is the maximum height of the ball?

Answer:

7

Step-by-step explanation:

Make the fractions have a denominator of 20.

2/5 times the top and bottom by 4 (because 5 times 4 = 20) = 8/20

So 8 socks are white

1/4 times 5 = 5/20

So 5 socks are black

Add them and subtract from 20 to get the number of gray socks

20-13=7

To determine if the proportion is true, we can apply the cross product.

The proportion given is:

We can perform the cross product. If the two results are equal, then, we can say the proportion is true.

Let's check the first diagonal of the cross:

Answer:

-8/5

Step-by-step explanation:

Slope is calculated as the change in y over the change in x, or the rise over the run.

Two points on this line are (2, -4) and (3, 4) The rise between these two points is 8, and the run between these two points is -5.

Therefore,  the slope is just 8/-5,  or -8/5.

Let  me know if this helps!

Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent , then

7x - 27 = 3x + 29 ( subtract 3x from both sides )

4x - 27 = 29 ( add 27 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2

Answer:

My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

Uhh

Step-by-step explanation:

Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

First, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:

So the price of each company is:

If both companies equal the same price, the equation in this case is:

Price of company A= Price of company B

50+ 10t= 30 + 15t

Solving

50 - 30= 15t - 10t

20= 5t

20÷5= t

4=t

At this time, the price of both companies is

In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

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PLEASE GIVE ME BRAINLIEST!

i hope this helps. thank you and have a good day :)

Answer:

a principle in fluid mechanics that states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.

Step-by-step explanation:

pressure applied to a fluid is transmitted equally throughout the fluid in all directions. This is named after the French mathematician and physicist Blaise Pascal, who first formulated it in the mid-17th century.

Answer:

1/5 is the lowest fraction term for 0.20

Answer:

I do

Step-by-step explanation

I like the manga

Answer:

mmeeee ‍♀️

Step-by-step explanation:

omg thats a rlly good drawing too

Word form One hundred three and five hundred three thouandth

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Answer:

1.38

Step-by-step explanation:

245.00 x 1.38 = 338.10

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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Answer:

x= -13 (a)

Step-by-step explanation:

-2x=35-9

-2x=26

x=-13

hope this helps x.

Answer:

-13

Step-by-step explanation:

9-2/x=35

9-2/x=35

-2/x=35-9

-2/x=26

-2=26x

26x=-2

x=-1/13

The shape and scale parameters have values of 4 and 2, respectively.

For Gamma distribution denoted by Gamma(k,θ) here k is the shape parameter and θ is the scale parameter.

What is shape parameter ?

A shape parameter affects the general shape of a distribution, as the name implies; they are a family of distributions with various shapes. The parameters are frequently calculated from recent data or occasionally extrapolated from historical statistical data.

What is scale parameter ?

Graphs have meaning thanks to scale settings. The scale in a typical normal model is equal to the standard deviation,. Even though the area under the graph is 1, you can't take any information from it without a scale. A standard normal distribution without any scaling parameters is shown in the top graph. 

The mean is given by the formula

Mean = kθ

And the variance is,

Variance = kθ^2

So now according to the given information we have,

θ=8

kθ^2=16

So dividing the two equations,

θ = 16/8=2

Using this in first equation,

kθ = 8

2k=8

k=4

So,

k=shape parameter=4

θ=scale parameter=2

Hence, The shape and scale parameters have values of 4 and 2, respectively.

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Answer:

Lateral surface area = 287.11 in^2

Step-by-step explanation:

An Elizabethan collar is a conical frustum. In this problem, you'll want to find the lateral surface area, which does not include either base, because the collar does not have bases. To calculate this, the formula is

\(la = \pi(r1 + r2)s\)

\( \sqrt{ {(r1 - r2)}^{2} + {h}^{2} } \)

where r1 equals the radius of the larger base, r2 the radius of the smaller base, h the height of the conical frustum, and s is the side length.

s= approximately 8.308...

r1 = 8

r2 = 3

8 + 3 is 11

11 × pi × 8.308... = 287.1108... in^2

Sorry for any confusion or mistakes! By the time I realized this was a bit above my math level I'd already typed out all those formulas, so I was invested.

 The  Lateral surface area = 287.11 ^2.

According to our question-

Hence The  Lateral surface area = 287.11 in^2.

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Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 \(\times\) 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered  = 12 \(\times\) 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 \(\times\) 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. For \(0 ≤ x ≤ 2, F(1) = (1^3/12) = 0.0833.So, P(X ≤ 1) = 0.0833.\) Hence, the correct option is (a) P(X ≤ 1).

Given that X denotes the amount of time a book on two-hour reserve is actually checked out, and the cdf is the following:

\(cdf: 0 , x<0f(x) = ((x^2)/4) , 0 <= x <= 21 , 2<= x\)

To use the cdf to obtain the following.P(X ≤ 1)

So, the probability distribution function is the derivative of the cumulative distribution function.

∴ f(x) = d/dx(F(x))

Also, from the cdf, we know that:

\(f(x) = 0 when x < 0.f(x) = ((x^2)/4) when 0 ≤ x ≤ 2.\)

f(x) = 1 when x ≥ 2.

Using the above conditions, we have to calculate the following:

(a) P(X ≤ 1)

Here, P(X ≤ 1) = F(1).

When\(0 ≤ x ≤ 2, F(x) = ∫[0,x] f(t)dt=∫[0,x] (t^2/4)dt=[t^3/12]0x=(x^3/12)\)

Thus, for\(0 ≤ x ≤ 2, F(x) = (x^3/12).\)

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Answer:

187.5 in^3

Step-by-step explanation:

V=(lwh )/3

7.5 x 5 x 5= 187.5

Answer:

62.5 inches squared

Step-by-step explanation:

To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.

Length = 5

Width = 5

Height = 7.5

1. 5 times 5 times 7.5 = 187.5

2. 187.5/3 = 62.5

3. The answer is 62.5 inches squared

The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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Answer:

False.

Step-by-step explanation:

To find the y-intercept of a line, we set x = 0 and solve for y. In the given equation, x = 2y + 5. Let's substitute x = 0:

0 = 2y + 5

Subtracting 5 from both sides:

-5 = 2y

Dividing both sides by 2:

-5/2 = y

Therefore, the y-intercept is (0, -5/2), not (0, 5). Hence, the statement "The y-intercept of the line x=2y +5 is (0,5)" is false.