Help please I will give brainliest

Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Answer:

(30,60)

90mph

Step-by-step explanation:

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. \( \frac{x}{2} + 6x \)

if x = -12

\( \frac{(-12)}{2} + 6(-12) \)

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. \( -10x + \frac{4}{x} \)

If x = -2

\( -10(-2) + \frac{4}{-2} \)

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. \( \frac{5}{2}(x - 6) + 4 \)

if x = 8.

\( \frac{5}{2}(8 - 6) + 4 \)

\( \frac{5}{2}(2) + 4 \)

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

5

Step-by-step explanation:

since Fred has 31 times more balloons then Dan, and Fred has 155, 155/31=5

If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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This inequality indicates that -35 is less than -22, confirming that -35 is positioned to the left of -22 on a horizontal number line.

To represent the statement "On a horizontal number line, -35 is located to the left of -22" as an inequality, we can use the less than symbol (<).

Since -35 is to the left of -22, it means that -35 is a smaller number than -22.

Therefore, the inequality that represents this statement is:

-35 < -22

This inequality indicates that -35 is less than -22, confirming that -35 is positioned to the left of -22 on a horizontal number line.

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Answer:

No

(The first system is correct but the second one is wrong)

Step-by-step explanation:

You can plug (-10,10) into these equations

a)  18(-10)+20(10)=20

      -180+200=20

            20=20

b) 20(-10)-2(10)=9

      -200-20≠9

         -220≠9

question: when do you take the SAT test

Answer:

\(x_{1}=-4\)

\(x_{2}=-8\)

Step-by-step explanation:

Quadratic Equation:
\(x^2+12x+32=0\)

Solve using Quadratic Formula:

\(x_{1} = \frac{-12+\sqrt{144-128} }{2}\)

\(x_{1}=\frac{-12+4}{2}\)

\(x_{1}=\frac{-8}{2}\)

\(x_{1}=-4\)

\(x_{2}=\frac{-12-\sqrt{144-128} }{2}\)

\(x_{2}=\frac{-12-4}{2}\)

\(x_{2}=\frac{-16}{2}\)

\(x_{2}=-8\)

I would appreciate it if you mark my answer as brainliest.

The missing side has a length of 6.5 units.

To find the missing side of a right-angled triangle, we can use the Pythagorean theorem. This theorem states that the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, we are given the lengths of two sides of the triangle, which are 6 and 2.5. We can use these values to calculate the length of the hypotenuse as follows:

a^2 + b^2 = c^2

6^2 + 2.5^2 = c^2

36 + 6.25 = c^2

c^2 = 42.25

c = sqrt(42.25)

c = 6.5

Therefore, the missing side of the right-angled triangle is 6.5. We can verify this by checking that the square of this value is equal to the sum of the squares of the other two sides. This can be done using the same formula as above.

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Looking at figure A, we have a prism with a triangular base that looks like a right triangle.

Since the prism has a right triangular base, the base shape is a right triangle (shape 5).

Looking at figure B, we have a prism with a pentagonal base.

Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).

Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.

Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).

Answer:

the answer is 8 square units

Step-by-step explanation:

i hope i helped

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

To evaluate the surface integral of a vector field F using Stokes's theorem, we need to find the curl of F and then evaluate the line integral of F around the boundary curve C. Let's go step by step:

Find the curl of F:

The vector field F is given as F(x, y, z) = e^(-i) + eyj + e^(5zk).

The curl of F is calculated as follows:

curl(F) = (∂Fₓ/∂y - ∂Fᵧ/∂x)i + (∂Fᵢ/∂x - ∂Fₓ/∂z)j + (∂Fₓ/∂z - ∂Fᵢ/∂y)k.

Let's calculate each component of the curl:

∂Fₓ/∂y = 0

∂Fᵧ/∂x = 0

∂Fᵢ/∂x = 0

∂Fₓ/∂z = 0

∂Fᵢ/∂y = 0

∂Fₓ/∂y = e^(-i) + eyj + e^(5zk)

Therefore, the curl of F is curl(F) = 0i + 0j + (e^(-i) + eyj + e^(5zk))k.

Find the boundary curve C:

The plane equation is given as 8x + y + 8z = 8. To find the boundary curve, we need to determine the intersection of this plane with the first octant. In the first octant, all coordinates are positive, so we can set x, y, and z to be greater than or equal to zero.

For x = 0, we have y + 8z = 8, which gives us the line y = 8 - 8z.

For z = 0, we have 8x + y = 8, which gives us the line y = 8 - 8x.

The boundary curve C is the intersection of these two lines in the first octant. It starts at (0, 8, 0), follows the line y = 8 - 8z, and ends at (1, 0, 0).

Evaluate the line integral of F around the boundary curve C:

The line integral is given by:

∮F · dr = ∫∫(curl(F) · n) dS,

where n is the unit normal vector to the surface S bounded by the curve C, and dS is the differential surface area element.

Since the curve C lies in the xy-plane, the normal vector n is simply k.

∮F · dr = ∫∫(curl(F) · k) dS.

The differential surface area element dS is simply dxdy.

∮F · dr = ∫∫(e^(-i) + eyj + e^(5zk)) · k dxdy.

To evaluate this integral, we integrate over the region bounded by the lines y = 8 - 8z and y = 8 - 8x, where x varies from 0 to 1 and y varies from 8 - 8x to 8 - 8z.

∮F · dr = ∫[0,1] ∫[8 - 8x, 8 - 8z] e^(5zk) dydx.

Evaluate the inner integral first:

∫[8 - 8x, 8 - 8z] e^(5zk) dy = e^(5zk) (8 - 8z - (8 - 8x)) = e^(5zk) (8x - 8z).

Now integrate with respect to x:

∮F · dr = ∫[0,1] e^(5zk) (8x - 8z) dx.

Integrating with respect to x:

∮F · dr = ∫[0,1] (8e^(5zk)x - 8e^(5zk)z) dx.

Evaluate the integral:

∮F · dr = [4e^(5zk)x^2 - 8e^(5zk)zx] evaluated from x = 0 to 1.

Substitute the limits:

∮F · dr = 4e^(5zk) - 8e^(5zk)z - 0 = 4e^(5zk) - 8e^(5zk)z.

Now we integrate this expression with respect to z:

∫[0,1] (4e^(5zk) - 8e^(5zk)z) dz.

Evaluating the integral with the limits:

∫[0,1] (4e^(5zk) - 8e^(5zk)z) dz = 4/5(e^5k - 1) - 8/5(e^5k - 1) = (4/5 - 8/5)(e^5k - 1) = -4/5(e^5k - 1).

Thus, the evaluated surface integral ∮F · dr = -4/5(e^5k - 1).

Please note that the result is in terms of k, which represents the z-component of the normal vector to the surface.

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Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1   line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

Answer:

x=56.666666666666

Step-by-step explanation:

x+2x+10=180

-10 -10

x+2x=170

3x=170

3. 3

x=56.666666666666

Answer:

40 cartons

Step-by-step explanation:

1 case = 4 boxes

2 cases = 8 boxes

1 box= 5 cartons

8 boxes = ( 8 x 5 )cartons = 40 cartons

Number of cartoon in 2 cases is 40 cartoons

Given that;

Number of boxes in a case = 4 boxes

Number of cartoon in a box = 5 cartoons

Find:

Number of cartoon in 2 box

Computation:

Number of cartoon in 2 cases = 2 × 5 × 4

Number of cartoon in 2 cases = 40 cartoons

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Answer:

380cm

Step-by-step explanation:

Answer:

]]][

Step-by-step explanation:

The author of the poem, "Heritage," is the Jamaican-American poet, Claude McKay. Based on the poem, it is clear that he is nostalgic for the fruits and landscapes of Jamaica.

Here is an acrostic list of some of the things he might be nostalgic for:

J - Joyful memories of fruit-trees laden with bananas, cocoa, and alligator pears

A - Awe-inspiring mystical blue skies over the hills

M - Memories of dewy dawns

A - Alligator pears and avocados, also known as butter pears, grown in Jamaica

I - Images of low-singing rills, small streams or brooks

C - Crisp tangerines,

A - Appreciation for the highest prize at parish fairs, which celebrates the bountiful harvests of Jamaica

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Range = Real Numbers – { 3 }

The formula to determine the range of the given function: f(x) = (ax+b) / (cx+d) is given by:

Range = Real Numbers – { K }, where K is the value of function at the point where the denominator is zero.

The denominator is zero when:

x+4.5 = 0x = -4.5

Putting the value in the equation:

= 3x-6 / (x+4.5)

f(-4.5) = 3(-4.5) -6 / (-4.5+4.5)

The above equation gives an indeterminate form of the type "0/0".

Hence, we can use L'Hospital's Rule to solve the limit:

= 3x-6 / (x+4.5) = lim(x → -4.5) (3) = 3

The value of K is 3.

Therefore, the range of the given function is the set of all real numbers except 3.

Range = Real Numbers – { 3 }

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The domain and range of the function f(x) = ( 3x - 6 ) / ( x + 4.5 ) in set-builder notation is { x | x ≠ -4.5 } and { y| y ≠ 3 } respectively.

Given the function in the question:

f(x) = ( 3x - 6 ) / ( x + 4.5 )

To determine the domain, set the denominator in the function to 0 and solve for x to determine where the the expression is undefined.

( x + 4.5 ) = 0

x + 4.5 = 0

Subtract 4.5 from both sides:

x + 4.5 - 4.5 = 0 - 4.5

x = -4.5

Hence, the domain is { x | x ≠ -4.5 }

(-∞,-4.5) U (-4.5,∞).

To determine the range, we use  the L'Hospital's Rule to solve for the limit:

= 3x-6 / (x+4.5)

= lim(x → -4.5) (3) = 3

Hence, the range is { y| y ≠ 3 }

(-∞,3) U (3,∞).

The complete question is:

What is the range and domain for the given function f(x)= 3x-6 over x+4.5 ?.

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The value of ∠WXY = 20.

What is Exterior angle theorem?

The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.

Given: Measure of angle YWX = (3x + 17) °

Measure of angle WXY = (3x + 2) °

Measure of angle XYZ = (10x − 5) °

Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)

⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °

Solve for x,

⇒ 10x - 5 = 3x + 17 + 3x + 2

⇒ 10x - 6x = 17 + 7

⇒ 4x = 24

⇒ x = 6

∴ ∠WXY = (3x + 2) = 18 + 2 = 20

Hence, value of ∠WXY = 20.

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Answer:

\(2x^2+7x+6\)

Step-by-step explanation:

Use the FOIL method to multiply these two expressions:

\((x+2)(2x+3)\\x(2x)+2(2x)+3(x)+2(3)\\2x^2+4x+3x+6\\2x^2+7x+6\)

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

x = 28

Step-by-step explanation:

Answer:

x=28

3x+12 = 2x+40

x+12 = 40

x = 28

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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Answer:

\( \sin0\)

Step-by-step explanation:

\( \tan0 \cos0 = \frac{ \sin0 }{ \cos0} \cos0 \\ \\ \)

Therefore,

\( \tan0 \cos0 \: = \sin0 \)

The volume of the cuboids and triangular prisms are:

d). 2139 cm³, e). 1.6 mm³, f). 1428.84 m³, g). 264 yd³, and h). 96 m³

Volume of cuboid = length × width × height

d). 15.5 cm × 9.2 cm × 15 cm = 2139 cm³

e). 2 mm × 0.8 mm × 1 mm = 1.6 mm³

f). 6.3 m × 6.3 m × 3.6 m = 1428.84 m³

Volume of triangular prism = base area × height

g). 11 yd × 6 yd × 4 yd = 264 yd³

h). 4 m × 4 m × 6 m = 96 m³

Therefore, the volume of the cuboids and triangular prisms are:

d). 2139 cm³, e). 1.6 mm³, f). 1428.84 m³, g). 264 yd³, and h). 96 m³

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Point Y is the centre of the circle that passes through points D, E, and F.So option A is correct.

If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle.

And the circumcenter is the centre point of the circumcircle which is obtained by the point of intersection of the perpendicular bisector of all the sides of the triangle.

Therefore, since Y is the circumcenter of the triangle DEF, so, point Y is the centre of the circle that passes through points D, E, and F.

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Answer:

A

Step-by-step explanation: