which phrase represents the algebraic expression 3p + 6

Answer:

77

Step-by-step explanation:

Answer:

6. 4/1  7. 4/2

Step-by-step explanation:

that's all I got I hope it helps.

Answer:

8(y + 27) ≤ -15

Step-by-step explanation:

In the given inequality statement,  "Eight times the sum of a number and 27 is at most "-15""  

The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27.  While the phrase "at most" means "less than or equal to (≤)"  The phrase also implies that the value of y can be -15, or any value less than -15.  

Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15  

Answer:

HCF = 6.

Step-by-step explanation:

The Highest Common factor is 6.

Other common factors are 1, 2 and 3.

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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No, Lydia's assertion that δSTU is a right triangle is not correct.

A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). To determine if δSTU is a right triangle, we need to examine the angles formed by the given coordinates.

Using the coordinates:

s (-3, 0)

t (0, -3)

u (3, -3)

We can calculate the slopes of the lines formed by connecting these points to see if any of them are perpendicular (indicating a right angle).

The slope of the line connecting points s and t is:

m(st) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (0 - (-3)) = -3/3 = -1

The slope of the line connecting points s and u is:

m(su) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (3 - (-3)) = -3/6 = -1/2

The slope of the line connecting points t and u is:

m(tu) = (y₂ - y₁) / (x₂ - x₁) = (-3 - (-3)) / (3 - 0) = 0/3 = 0

None of the slopes calculated are perpendicular to each other, meaning none of the angles formed by the given coordinates are 90 degrees. Therefore, δSTU is not a right triangle.

In summary, Lydia's assertion that δSTU is a right triangle is incorrect because the angles formed by the given coordinates do not include a 90-degree angle.

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Answer:

going up by 2 numbers

Step-by-step explanation:

Answer:

I am going to give this to someone and see if they can help!

Step-by-step explanation:

According to the information, on the 11th day, half of the substance should remain.

To calculate what day half of the substance will remain, we must carry out the following mathematical procedure.

First of all we must find the range of decrease from one value to another.

4, 4.5, 5.5, 4 and 3

We average these values and it gives us 4.4.

We then subtract 78 - 50 to identify the difference between these two mass values. and then we divide the result in the decreasing range (4.4).

According to the above, it would take another 6.3 days to reach 50%, so more or less on day 11 half of the substance would remain.

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Answer:

Y=-3/2x-4

Step-by-step explanation:

Point slope form is

y=mx+b

mx is the slope

and b is the y-intercept

Answer:

The difference is -2x10 is basically-2 times x times 10.

Step-by-step explanation:

Cuz i said so

The x values that makes the given inequality true are -10, -9, -8, -7 and -6.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2x>10.

Divide -2 on both the sides of an inequality, we get

x<-5

So, the solution is {.......-10, -9, -8, -7, -6}

Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.

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An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold \mathbb {Z}.

Answer:

yes because a Linear functions is a straight line

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2

The length of the path described by the parametric equations x = cos(3t) and y = sin(3t) for 0 ≤ t ≤ π/2 is 3(π/2).

To find the length of the path, we need to use the formula for arc length:

L = integral from a to b of √(dx/dt)² + (dy/dt)² dt

where a and b are the starting and ending values of t.

Here, we have x = cos(3t) and y = sin(3t). Therefore,

dx/dt = -3sin(3t) and dy/dt = 3cos(3t)

Now, we can substitute these into the formula for arc length:

L = integral from 0 to π/2 of √((-3sin(3t))² + (3cos(3t))²) dt

L = integral from 0 to π/2 of √(9sin²(3t) + 9cos²(3t)) dt

L = integral from 0 to pi/2 of 3 dt

L = \(3[t]_0^{(\pi/2)\) = 3(pi/2)

The length of the path described by the parametric equations x = cos(3t) and y = sin(3t) for 0 ≤ t ≤ π/2 is 3(π/2).

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The length of the path described by the parametric equations x = cos(3t) and y = sin(3t), for 0 ≤ t ≤ π/2, is given by the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can simplify the length integral as follows:

L = ∫[0,π/2] √((dx/dt)² + (dy/dt)²) dt

L = ∫[0,π/2] √((-3sin(3t))² + (3cos(3t))²) dt

L = ∫[0,π/2] √(9sin²(3t) + 9cos²(3t)) dt

L = ∫[0,π/2] √9(dt)

L = 3 ∫[0,π/2] dt

L = 3[t] [0,π/2]

L = 3(π/2 - 0)

L = 3π/2

Therefore, the length of the path described by the given parametric equations for 0 ≤ t ≤ π/2 is 3π/2 units.

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Complete Question

the length of the path described by the parametric equations x=cos3t and y=sin3t , for 0≤t≤π2 is given by                   .

Answer:

Step-by-step explanation:

A geometric figure is intuitively defined as a set of points and lines in space. In the words of Euclid: A figure is that which is contained by any boundary or boundaries

Answer:

Congruent

Step-by-step explanation:

Congruent two shapes are this if they have exactly the same shape and size.

Answers:

#6: (6,32)

#7: total cost for kites R fun   Total cost for windy kites

                    4                                              42

                     7                                               62

                     10                                             82

Answer:

=3

Step-by-step explanation:

5b/c

=5*6/10

=30/10

=3

Answer:

If b = 6 and c = 10, the value of an expression is 3.

Step-by-step explanation:

Given the expression

\(\frac{5b}{c}\)

We have to evaluate the expression if b = 6 and c = 10.

Important Tip:

In order to evaluate the expression  \(\frac{5b}{c}\), all we need to do is to substitute the value of b and c in the expression.

As the expression is

\(\frac{5b}{c}\)

substitute b = 6 and c = 10 in the expression

\(\frac{5b}{c}=\frac{5\left(6\right)}{10}\)

     \(=\frac{30}{10}\)

      \(=3\)       ∵ \(\frac{30}{10}=3\)

Therefore, if b = 6 and c = 10, the value of an expression is 3.

Answer:

2.5 feet per second.

Step-by-Explanation:

So we have

(10,15) (40,90)

Plug them in the slope-formula

y2-y1/x2-x1

90-15/40-10

75/30

2.5 feet per sec.

The equation of line B is y = -3x + 8.

To find the equation of line B, which is parallel to line A and passes through point P, we need to determine the slope of line A and use it to write the equation of line B.

Looking at line A, we can observe that it has a slope of -3. This is because line A has a rise of -3 (decreasing y-values) for every run of 1 (constant x-values).

Since line B is parallel to line A, it will have the same slope of -3.

Now, we have the slope (-3) and the point P(x, y) through which line B passes. Let's use the point-slope form of the linear equation to write the equation of line B:

y - y1 = m(x - x1)

Substituting the values, we have:

y - (-7) = -3(x - 5)

Simplifying:

y + 7 = -3x + 15

To write the equation in the form y = mx + c, we rearrange the equation:

y = -3x + 15 - 7

y = -3x + 8

Therefore, the equation of line B is y = -3x + 8.

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Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

\((7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67\)

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

Answer:

4000 Sq feet.

Step-by-step explanation:

Since the room needed is 20 times the number of attendees and 200 attendees are expected to come, it's just 20x200. Looking for keywords such as times really help!

Answer:

6\(x^{2}\) + 1

Step-by-step explanation:

\(\frac{6x^{3}+ 2x-x }{x}\)   combine 2x -x = x

\(\frac{6x^{3} + x}{x}\)

\(\frac{x(6x^{2} + 1) }{x}\)  the x's cancel out

6\(x^{2}\) + 1

Given: Two similar triangles QRS and TRU

To Determine: The reflexive property to prove the similar triangles

Solution

We have been all that could lead to proving the similar triangles QRS and TRU

The space given has a the reason reflexive property

The reflexive property of equality states that a number is always equal to itself

From the image

Hence, the correct option is ∠QRS ≅ ∠ TRU, OPTION D

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The correct statement regarding the residuals is given as follows:

Yes, the residuals are relatively small.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence, on the graph, the residuals are given by the vertical distance between each point on the line.

The points are close to the line in this problem, meaning that the residuals are small and the model is a good fit.

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the general equation of a graph is given by

y = mx + c

where m= slope

c=intercept

the equation given is

9x-5y=4

make y subject of formula

9x-4=5y

5y=9x-4

divide through by 5

y=9/5x-4/5

comparing with the general equation

mx=9/5x

m=slope=9/5

Answer:3

Step-by-step explanation: 3 +5 = 8 12 x 8 = 96, 32 x 3 = 96, 96 = 96