A parabola has a vertex (5,-10) and passes through the point (10,-25). Determine the equation of this parabola and put it in vertex form.

Answer:

V = 1436.0 in ^3  with 3.14 for pi

or

V = 1436.8 in ^3 with the pi button

Step-by-step explanation:

V = 4/3 pi r^3

The radius is 7

V = 4/3 pi (7)^3

V = 4/3 ( 3.14) (7)^3

V =1436.02666 in ^3

V = 1436.0 in ^3

If you use the pi button

V = 4/3 pi 7^3

V = 1436.75504

V = 1436.8 in ^3

ANSWER

Scalene

Cannot be determined

Isosceles

EXPLANATION

1) This triangle is shown to have three sides of three different lengths. This means that it is a scalene triangle since a scalene triangle is one with sides of three different lengths

2) This triangle has no markings on its sides or on its angles. This means that we cannot determine the type of triangle that it is.

3) The two bottom angles of this triangle are shown to be equal. This implies that the two sides adjacent to the angles shown are also equal in length.

Hence, the triangle is an isosceles triangle since an isosceles triangle is one that has two sides and two sets of angles to be equal.

answer is x<8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

That's some we.t-as.s pu.ssy

Step-by-step explanation:

Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

Answer:

Check the image below the explanation.

Step-by-step explanation:

The series is an alternating series that satisfies the conditions of the Alternating Series Test, so we know that the series converges. To approximate the sum of the series, we can use the formula for the remainder of an alternating series:

|Rn| ≤ a(n+1), where a(n+1) is the absolute value of the first term in the remainder.
In this case, the absolute value of the first term in the remainder is 1/(2*(n+1))^2. So we have:
|Rn| ≤ 1/(2*(n+1))^2 To approximate the sum of the series correct to four decimal places, we can find the smallest value of n such that the remainder is less than 0.0001: 1/(2*(n+1))^2 ≤ 0.0001 Solving for n, we get: n ≥ sqrt(500) - 0.5 ≈ 22.36
So, to approximate the sum of the series correct to four decimal places, we need to add up the first 23 terms of the series: S23 = (-1^1-1/2^8) + (-1^2-1/4^8) + (-1^3-1/6^8) + ... + (-1^23-1/46^8) Using a calculator or a computer program, we find that S23 ≈ 0.3342. Therefore, the sum of the series correct to four decimal places is approximately 0.3342.

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Answer:

The cost of one hamburger is $2.50

The cost of the soda will be $1.00

Step-by-step explanation:

Let the cost of one soda be s

and let the cost of one hamburger be h

Part 1) 2 sodas and 4 hamburgers cost $12.00

2s + 4h = 12

2 (s + 2h) = 12

Dividing the whole equation by 2, we get

s + 2h = 6

s = 6 - 2h (part 1)

Part 2) 4 sodas and 2 hamburgers costs $9.00

4s + 2h = 9 (part 2)

Substituting the value of s from part 1 in part 2, we get

4(6 - 2h) + 2h= 9

24 - 8h + 2h = 9

24 - 6h = 9

-6h = 9 - 24

-6h = -15

h = -15/-6

h = 2.5

So, the cost of one hamburger is $2.50

s = 6 - (2 * 2.50)

s = 6 - 5 = 1

the cost of the soda will be $1.00

Answer: y = −1/2x + 2 is the answer to the slope-intercept form of the graph.

Step-by-step explanation:

I hope this helps!!

Answer:

a. D={o,1,2}

R={1,1,6}

b. D= {-3,-1,0,2}

R={7,9,7,6}

I'm not sure with b.

Answer:

rjogir

grggreijgojrejow

g

Step-by-step explanation:

Answer:

3x - 7 = 2

3x = 2 + 7

3x = 9

x =9/3

x = 3

x equals 3

The inequality solved for y is:

y ≥ 21/25

To solve an inequality for one variable, we need to isolate that variable.

Here we have:

(8/7)y -1 ≥ (3/7)y - 2/5

Move the terms with y to the left side and the others to the right side.

(8/7)y - (3/7)y ≥ -2/5 + 1

(5/7)y ≥ (3/5)

Now multiply both sides by 7/5, we will get:

y  ≥ (3/5)*(7/5)

y ≥ 21/25

That is the solution simplfied.

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To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Answer:

No, I believe the solution is (2/3, 11/3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The transitive property of equality says--in very informal terms--if thing 1 = thing 2 and thing 2 = thing 3, then thing 1 = thing 3.  See how thing 2 appears twice?  That's a "spoiler alert" for this question.

So, what are thing 1, thing 2, and thing 3?

Take a look at how the answer space begins:  9y.  That must be thing 1 because the conclusion of the transitive property is thing 1 = ...

Now, what is mentioned twice?  2x.  That must be thing 2.

The remaining expression is thing 3: 10x - 8y + 3.

So it goes like this:

9y = 2x

2x = 10x - 8y + 3

Therefore, 9y = 10x - 8y + 3

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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To show that β=3α, where β represents the volumetric thermal expansion coefficient and α represents the linear thermal expansion coefficient, we can calculate the infinitesimal change in volume (dv) of a cube with sides of length l when the temperature changes by dt.

The linear thermal expansion coefficient α is defined as the fractional change in length per unit change in temperature. Similarly, the volumetric thermal expansion coefficient β is defined as the fractional change in volume per unit change in temperature.

Let's consider a cube with sides of length l. The initial volume of the cube is \(V = l^3\). Now, when the temperature changes by dt, the sides of the cube will also change. Let dl be the infinitesimal change in length due to the temperature change.

The infinitesimal change in volume, dv, can be calculated using the formula for differential calculus:

\(\[dv = \frac{{\partial V}}{{\partial l}} dl = \frac{{dV}}{{dl}} dl\]\)

Since \(V = l^3,\) we can differentiate both sides of the equation with respect to l:

\(\[dV = 3l^2 dl\]\)

Substituting this back into the previous equation, we get:

\(\[dv = 3l^2 dl\]\)

Now, we can express dl in terms of dt using the linear thermal expansion coefficient α:

\(\[dl = \alpha l dt\]\)

Substituting this into the equation for dv, we have:

\(\[dv = 3l^2 \alpha l dt = 3\alpha l^3 dt\]\)

Comparing this with the definition of β (fractional change in volume per unit change in temperature), we find that:

\(\[\beta = \frac{{dv}}{{V dt}} = \frac{{3\alpha l^3 dt}}{{l^3 dt}} = 3\alpha\]\)

Therefore, we have shown that β = 3α, indicating that the volumetric thermal expansion coefficient is three times the linear thermal expansion coefficient for a cube.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Its A

Step-by-step explanation:

Answer:

A i did this before

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Product in math terms means to multiply

When the term "a number" is used, you can just put a variable

"Is," tells you what the problem equals

With this information, we can create the equation:

(2/3x) + 6 = 12

Now that we have this equation, we can solve it

(2/3x) +6 = 12            We can subtract 6 from both sides.  

            -6     -6

2/3x = 12                   We can divide the 2/3 from each side.

/2/3         /2/3

x = 18

Hope this helps!

Answer:

1

Step-by-step explanation:

2/3x + 12 = 6

2/3x = -6

x = -6 divided by 2/3

(6 divided 2) divided 3 =1

please make me a brainlist

Answer:

Number 1 and Number 4

Step-by-step explanation:

By factoring, you can figure out the roots (x = -2 or x = 2)...

1. x^2 - 4 = 0

--> (x + 2)(x - 2) = 0

--> x = -2, x = 2

2. x^2 + 4 = 0

--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.

3. 3x^2 + 12 = 0

--> 3 (x^2 + 4) = 0

--> factors weirdly (same as above)

4. 4x^2 - 16 = 0

--> 4 (x^2 - 4) = 0

--> 4 (x+2) (x-2) = 0

--> x = -2, x = 2

5. 2 (x-2) 2 = 0

--> x = 2

The linear function that fits the given data points is: f(t)=17.4−0.6t

To fit a linear function of form f(t)=c0+c1t to the data points (-3,19), (0,1), (3,-11), using least squares, the values of c0 and c1 must be found.

The least squares method gives the values of c0 and c1 that minimize the sum of the squares of the errors between the predicted and actual values of the dependent variable (f(t)).

The first step is to calculate the means of t and f(t) from the given data points. Since there are three data points, we have:

t¯=1/3(−3+0+3)

 =0f(t)¯=1/3(19+1−11)

 =3.0

Using the values of t and f(t), we can set up a system of equations to solve for c0 and c1.

The equations are:19=c0−3c1, (1)=c00−c1⋅0−f(t)¯=c019−t¯⋅c1−f(t)¯=−8c1.

The solution to the system of equations can be found by substitution or elimination.

In this case, we will use substitution.

Using the first equation to solve for c0, we have:

c0=19+3c1

Substituting this expression for c0 into the second equation,

we have:

19+3c1−t¯⋅c1−f(t)¯=0

Simplifying, we get:

3c1−3=8c1c1=−3/5

Using this value of c1, we can find c0 using the first equation:

c0=19+3(−3/5)=17.4

Thus, the linear function that fits the given data points is:f(t)=17.4−0.6t

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Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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Answer:

c

Step-by-step explanation:

Answer:

(8,3)

Step-by-step explanation:

f(8) = 3

The input is 8 and the output is 3

(8,3)

Answer:

29

Step-by-step explanation:

A right angle always equals 90 degrees. Put both equation together to equal 90. Then solve for x like you normally would.

2x + 1 + x + 2 = 90

3x = 90 - 3

3x = 87

87/3x

x = 29