Tania analyzed the relationship between student test scores and the number of hours studied. She calculated the trend line to be y = 6.8x + 60, where x is the number of hours studied and y is the score. Which closet is to the score for a student who studied 3 hours?
A 80
B 85
C 90
D 95

Answer: [tex]47,916\pi \ cm3[/tex]

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where "r" is the radius.

You know that the radius of the exercise ball is 33 centimeters, then, you must substitute the valueof this radius into the formula  [tex]V=\frac{4}{3}\pi r^3[/tex].

Therefore, the volume of the exercise ball is:

[tex]V=\frac{4}{3}\pi (33cm)^3[/tex]

[tex]V=47,916\pi \ cm3[/tex]

Answer:

Step-by-step explanation:

x+2y=-2

2y = - x -2

y = -1/2 x -1 ... (The first line)   red

y=1/2x-5 ( the second line ) bleus

the solution to the system of equations is (4 ; -3) intersection of two line

Answer:

8/35

Step-by-step explanation:

1 1/4 = 5/4

3 1/2 = 7/2

5/4 × 7/2

Find the reciprocal. (flip numerator and denomimator)

4/5 × 2/7 = 8/35

Answer:

8/35                                                                                                                                          This is your answer in simplest form.

Answer:

x=2

Step-by-step explanation:

Divide 49 by 7, and you get 7 which is a perfect square

Let's test it out!

7^x=49

7^(2)=49

49=49

It works out!

9,12,18 is a right triangle and so is 30,72,90

For this case we have that by definition, the area of a triangle is given by:

[tex]A = \frac {1} {2} b * h[/tex]

Where:

b: It's the base

h: It's the height

Substituting the values, according to the given data:

[tex]225 = \frac {1} {2} (15) * h\\225 = 7.5h[/tex]

Dividing between 7.5 on both sides of the equation:

[tex]h = \frac {225} {7.5}\\h = 30[/tex]

Thus, the height of the triangle is 30ft

Answer:

30ft

Answer: 30 feet.

Step-by-step explanation:

The formula used to calculate the area of a triangle is:

[tex]A=\frac{bh}{2}[/tex]

Where "b" is the base and "h" is the height.

In this case you know that the area of this triangle is 225 ft² and its base is 15 ft. Then, you can substitute these values into the formula [tex]A=\frac{bh}{2}[/tex] and solve for the height "h":

[tex]225ft^2=\frac{(15ft)h}{2}[/tex]

[tex](2)(225ft^2)=(15ft)h[/tex]

[tex]h=\frac{(2)(225ft^2)}{15ft}[/tex]

[tex]h=30ft[/tex]

Answer:

[tex]\large\boxed{d)\ x=-5\pm\sqrt{31}}[/tex]

Step-by-step explanation:

[tex]x^2+10x=6\\\\x^2+2(x)(5)=6\qquad\text{add}\ 5^2\ \text{to both sides}\\\\x^2+2(x)(5)+5^2=6+5^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+5)^2=6+25\\\\(x+5)^2=31\iff x+5=\pm\sqrt{31}\qquad\text{subtract 5 from both sides}\\\\x=-5\pm\sqrt{31}[/tex]

Answer:

option B) f(x)=x^3-6x^2+11x-6

Step-by-step explanation:

Zeros means the point at which a given function becomes zero for the value of input.

In given case, zeros of f(x) is required at points 1,2 and 3.

Graphically the point on x-axis where the function line intersects the x-axis is the zero of the function i.e. the function value is 0,

hence

f(x)=0 when x=1

x-1=0

f(x)=(x-1)

f(x)=0 when x=2

x-2=0

f(x)=(x-2)

f(x)=0 when x=3

x-3=0

f(x)=(x-3)

Thus f(x)=(x-1)(x-2)(x-3)

Writing the above polynomial in standard form:

f(x)=x^3-6x^2+11x-6 !

Answer:

Any number times zero is zero.

Step-by-step explanation:

Simplify the following:

0 g f

Hint: | Any number times zero is zero.

0 g f = 0:

Answer:  0

The answer is:

The first option,

[tex]f^{-1}(x)=\frac{x-2}{4}[/tex]

To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".

We are given the function:

[tex]f(x)=4x+2[/tex]

Write "f(x)" is equal to write "y", so:

[tex]y=4x+2[/tex]

Now, finding the inverse, we have:

[tex]y=4x+2\\x=4y+2\\x-2=4y\\y=\frac{x-2}{4}[/tex]

Hence, we have that the answer is the first option,

[tex]f^{-1}(x)=\frac{x-2}{4}[/tex]

Have a nice day!

ANSWER

[tex]{f}^{ - 1} (x) = \frac{x - 2}{4} [/tex]

EXPLANATION

The given function is

f(x)=4x+2

To find the inverse, we let

y=4x+2

Then, interchange x and y.

x=4y+2

Solve for y,

x-2=4y.

Divide both sides by 4

[tex]y = \frac{x - 2}{4} [/tex]

Hence, the inverse is:

[tex] {f}^{ - 1} (x) = \frac{x - 2}{4} [/tex]

Answer:

a negative set of numbers? or integers

Step-by-step explanation:

integers are all the numbers in the world so that includes a negative number

Answer:

A = $7,350.00

Step-by-step explanation:

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year.

Putting time into years for simplicity,

30 months / 12 months/year = 2.5 years.

Solving our equation:

A = 6000(1 + (0.09 × 2.5)) = 7350

A = $7,350.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.

* Therefor, the answer is $7,350.00.

* Hopefully this helps:) Mark me the brainliest:)!!!

To find Dominick's monthly installment payments for a $6,000 loan at 9% simple interest over 30 months, you first calculate the total interest ($1,350), add it to the principal to get the total amount owed ($7,350), and then divide by the number of months (30) to find the monthly payment, which is approximately $245.

Calculating Monthly Installment Payments

Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. To calculate the total amount of interest, we'll use the formula for simple interest, which is Interest (I) = Principal (P) × Rate (R) × Time (T). For this loan, the principal P is $6,000, the annual interest rate R is 9% (or 0.09 when expressed as a decimal), and the time T is 30 months (or 2.5 years). Plugging these values into the formula gives us:

I = $6,000 × 0.09 × 2.5 = $1,350

The total amount owed, including interest, is $6,000 + $1,350 = $7,350. To determine the monthly installment payments, we divide this total amount by the number of months over which the loan will be repaid, which is also 30 months.

Monthly Installment Payments = Total Amount / Number of Months

Monthly Installment Payments = $7,350 / 30 ≈ $245

So, Dominick's monthly installment payment is approximately $245 to the nearest whole cent.

the like terms are 9x and 7x, if you are told to simplify, you write, "12y+16x"

12y + 9x + 7x

The like terms are 9x and 7x. This is because they both have the x variables attached to the number. This means that you can add only 9x and 7x (not 12y because it isn't a like term) together like normal numbers (except with an x at the end so you would get: 12y + 16x

Hope this helped!

The formula for the absolute value function that has its vertex at point (0,6) and passes through the point (-1,-2) is y = -1/8|x| + 6.

To find the formula of an absolute value function, we need to use the formula |x - h| = a(y - k), where (h, k) is the vertex of the graph. In this case, the vertex is at point (0,6), so h = 0 and k = 6. The other point given is (-1,-2). We can substitute these values into the formula to find the value of 'a'. So, |-1 - 0| = a(-2 - 6) which simplifies to 1 = -8a. Solving this equation gives us a = -1/8. So, the formula for the absolute value function in this case is y = -1/8|x - 0| + 6 or just y = -1/8|x| + 6.

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The formula for the absolute value function with a vertex at (0,6) and passing through the point (-1,-2) is y = -8|x| + 6.

The formula for the absolute value function with a vertex at (0,6) and passing through the point (-1,-2) can be determined by considering how the graph of an absolute value function is shifted and stretched. In general, the formula for an absolute value function with a vertex at (h,k) can be written as y = a|x-h| + k. Using the given information, we can substitute the values h=0 and k=6 into the formula, and use the point (-1,-2) to solve for the value of a:

-2 = a|(-1)-0| + 6

-2 = a|-1| + 6

-2 = a + 6

a = -8

Therefore, the formula for the absolute value function is y = -8|x-0| + 6, which simplifies to y = -8|x| + 6.

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Answer:

4 copies

Step-by-step explanation:

After yesterday's sales, 1/3 of the original supply remained. After today's sales, 1/5 of that value remain. So the remaining number is ...

60·(1/3)(1/5) = 60/15 = 4

The bookstore has 4 copies of the magazine left after selling 2/3 of them on the first day and 4/5 of the remaining on the second day.

The bookstore originally has 60 copies of a magazine. On the first day, it sold 2/3 of them, which equals to 60*(2/3) = 40 copies. So, there are 60 - 40 = 20 copies left. On the second day, it sold 4/5 of what remained, that is, 20*(4/5) = 16 copies. After this, the remaining copies are 20 - 16 = 4 copies.

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Answer:

The answer to your question is C (27%)

Step-by-step explanation:

I looked up the answer for you but this was proven to be correct.

Answer:

The Mode is 3 and Median is also 3

Step-by-step explanation:

Answer:

Mean: 2.7

Mode: 3

Median: 3

Range: 4

Step-by-step explanation:

1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5

Mean: 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 4 + 5 = 30/11 = 2.7

Mode: 3

Median: 3

Range: 5 - 1 = 4

Lucas put 1.30 in his coin bank.

Answer:

(2/5, 9/6)

Step-by-step explanation:

6y = 10x + 5 | 6y = 5x + 7

Set them equal to each other because 6y = 6y.

10x +5 = 5x + 7

5x = 2

x = 2/5

6y = 5*2/5 + 7

6y = 2 + 7

y = 9/6

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

[tex]18 {x}^{2} y[/tex]

as product of primes, we obtain:

[tex]2 \times {3}^{2} \times {x}^{2}y [/tex]

If we express the monomial

[tex]27x {y}^{3} [/tex]

as product of primes we obtain:

[tex] = {3}^{3} \times x {y}^{3} [/tex]

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

[tex] = 2 \times {3}^{3} \times {x}^{2} {y}^{3} [/tex]

[tex] =54 {x}^{2} {y}^{3} [/tex]

Therefore the correct answer is D.

Answer:

The correct answer is option D.

18x2y, 27xy3

Step-by-step explanation:

To find the LCM

A).To find the Lcm of  (2xy, 27xy2)

LCM((2xy, 27xy2)  = 54xy^2

B).To find the  Lcm of  (3x2y3, 18x2y3)

LCM(3x2y3, 18x2y3)  = 18x^2y^4

C). To find the  Lcm of (6x2, 9y3)

LCM(6x2, 9y3)  = 18y^2y^

D). To find the  Lcm of (18x2y, 27xy3)

 LCM(18x2y, 27xy3) = 54x^2y^3

Therefore the correct answer is option D

18x2y, 27xy3

ANSWER

Domain: All real numbers

Range:

[tex][2, \infty )[/tex]

EXPLANATION

The given function is

[tex]y = 3 {x}^{2} - 6x + 5[/tex]

To find the domain and range of the given function, we complete the square.

[tex]y = 3 ({x}^{2} - 2x )+ 5[/tex]

[tex]y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5[/tex]

[tex]y = 3 ({x - 1)}^{2} - 3+ 5[/tex]

[tex]y = 3 ({x - 1)}^{2} + 2[/tex]

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

[tex][2, \infty )[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

A. Abrupt changes or trends in engine temperature

Step-by-step explanation:

Abrupt changes or trends in engine temperature are an indication that your vehicle may be developing a cooling system problem.

Cooling system problem occurs in engines of vehicles when the vehicle is running low on coolant. This results in an increase in temperature of the engine. If such conditions go un noticed for a long time, fatal accidents can take place.

Answer:

x ≈ 4.1 cm

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector

The third side of the triangle = 14.6 ÷ 2 = 7.8

We now have a right triangle with legs x and 7.8 with hypotenuse 8.8

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 7.8² = 8.8²

x² + 60.84 = 77.44 ( subtract 60.84 from both sides )

x² = 16.6 ( take the square root of both sides )

x = [tex]\sqrt{16.6}[/tex] ≈ 4.1 ( nearest tenth )

Answer:

4.1

Step-by-step explanation:

⇒The missing side of the triangle is 7.8 cm

We use Pythagoras theorem to solve x

a² = b² + c²

In this case, a = 7.8 cm and c = 8.8 cm

→ 7.8² = x² + 8.8²

( Rearrange )

→ x² = 8.8² - 7.8²

( Simplify )

→ x² = 77.44 - 60.84

( Simplify )

→ x² = 16.6

( Square root )

→ x = 4.074309757

Answer:

x = - 7, x = 0 and x = 4

Step-by-step explanation:

Factor the polynomial and solve for x

Given

x³ + 3x² - 28x = 0 ← factor out x from each term

x(x² + 3x - 28) = 0 ← factor the quadratic

x(x + 7)(x - 4) = 0

Equate each factor to zero and solve for x

x = 0

x + 7 = 0 ⇒ x = - 7

x - 4 = 0 ⇒ x = 4

These are the 3 points where the graph crosses the x- axis

Answer:

Step-by-step explanation:

Answer alternate interior

I believe

Answer:

alternate interior

Step-by-step explanation:

it should be this not sure though

Answer:

[tex](x-4)^2+(y-3)^2=2^2[/tex]

Step-by-step explanation:

The given circle has equation; [tex]x^2+y^2-8x-6y+24=0[/tex]

Comparing to the general equation of the circle:  [tex]x^2+y^2+2ax+2by+c=0[/tex]

We have [tex]2a=-8\implies a=-4[/tex] and [tex]2b=-6\implies b=-3[/tex]

The center of this circle is (-a,-b)=(4,3).

The required circle has radius r=2 units.

The equation of a circle, given the center (h,k) and radius r, is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We substitute the values to obtain [tex](x-4)^2+(y-3)^2=2^2[/tex]

Answer:

the answer is C

Step-by-step explanation:

Answer:

I believe the answer is 120

The value of x in the figure is 120° .

Since MN and NP are tangent to O, then the angle subtended at the center is twice angle m

Now we have :

O = 2 * 60

O = 120°

Therefore, angle O = 120°

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I’ll help you, but what’s “Number 9”?

The initial hight was 5

Approximately after 2second the disc with hit the ground

the answer is A i believe

T= O/A

Tan(46)= x/35

Tan(46)×35= x= 36.2435... ft