roy gets 10% extra time in school exams. If Roy gets 1 hour 33 minutes and 30 seconds to complete his maths exam, how long do most students get.

In 2010, the number of both jobs will be equal.

Considering the set of equations

7.1x - y = -254

12.2x - y = -231

where x represents the period of time since 2005.

y represents the number of jobs in thousands.

We have the answer after solving the system:

(x, y) ==> (5, 286) (5, 286)

Find the year where the total number of both jobs is equal

At the solution point, the graphs of the two lines will collide.

The year in which the number of both jobs is equal will be five years after 2005 since x is the number of years since 2005.

So, here we are:

Year where the sum of the two jobs is equal: 2005 + 5 = 2010

As a result, there will be an equal number of both jobs in 2010.

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Answer:

2x x 3y x 3x is 18x4y  hope it helps

Step-by-step explanation:

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

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Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Answer:

x > -1

Step-by-step explanation:

8x - 4 > 3x - 9

5x - 4 > -9

5x > -5

x > -1

Answer: 34ft

Step-by-step explanation:

Answer:

b^2-c^2-10b+10c

Step-by-step explanation:

b^2-c^2-10(b-c)

b^2-c^2-10b+10c

Answer:

32 degrees

Step-by-step explanation:

32 degrees is the below freezing point

Answer:

6y

Step-by-step explanation:

3(2y)

= 6y

So, the answer is 6y

Therefore, it is reasonable to assume that the correct answer is option A, 1.257.

To determine the standard deviation of all individuals from the three lakes combined, we first need to know the individual standard deviations for each lake. Unfortunately, this information is not provided in the question. Therefore, we cannot directly calculate the standard deviation for the combined group.
However, we can make an educated guess based on the provided answer choices. Of the options given, the largest standard deviation is 14.19. This value is significantly larger than the standard deviations typically observed in ecological studies. Therefore, it is highly unlikely that the true standard deviation of the combined group is this large.
Furthermore, the smallest standard deviation listed is 1.257. This value is much more in line with what we would expect for a population of fish sizes. Therefore, it is reasonable to assume that the correct answer is option A, 1.257.

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Answer:

add 7 to 29= 36

divide 36 by 3

answer equals 12

Step-by-step explanation:

Answer:

36 percent

Step-by-step explanation:

hi again

Answer:

36 percent

Step-by-step explanation:

There are a total of 25 muffins.

9 out of 25 muffins that were sold were carrots.

Divide 25/9 and you get 0.36

Multiply that by 100 and you get 36.

So %36 were carrot

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The correlation will not be −0.44 based solely on the slope of the regression line. (option c).

Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:

Y = βX

where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:

Y = β(0) = 0

This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:

Y = σY(Y) + μY

where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:

Y = σY(0) + μY = μY

So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.

Hence the correct option is (c).

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Complete Question

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. The intercept will also be −0.44.

b. The intercept will be 1.0.

c. The correlation will not be 1/−0.44.

A gradient vector field represents the direction and magnitude of the gradient of a function at each point in the plane. The function f(x, y) = 2x^2 + 2y^2 corresponds to the gradient vector field plot labeled with the equation "f(x, y) = 2x^2 + 2y^2."

A gradient vector field represents the direction and magnitude of the gradient of a function at each point in the plane. The gradient vector field can be visualized by plotting vectors at different points, with the vectors pointing in the direction of the steepest ascent of the function.

In this case, the function f(x, y) = 2x^2 + 2y^2 represents a quadratic function with the coefficients 2 for both x^2 and y^2 terms. The gradient vector field plot that corresponds to this function would show vectors pointing away from the origin (0, 0) in all directions, indicating the direction of steepest ascent.

By matching the function f(x, y) = 2x^2 + 2y^2 with the gradient vector field plot labeled with the equation "f(x, y) = 2x^2 + 2y^2," we can visually observe the direction and magnitude of the gradient vectors associated with the function at each point in the plane.

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Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

Now the y-ccordinate of the point G will be:-

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

Answer:

40 + 25 = 65

49 + 63 = 112

63 + 15 = 78

7×16 =112

26 × 3 =78

5×13=65

so the answer is

40 + 25 -------- 5 × 13

49 + 63 -------- 7 × 16

63 + 15 --------- 26 × 3

i hope this help you

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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Answer:  The correct answer is 5a^3b^3 − 4a^2b^4 + ab^5

Step-by-step explanation:

ab^3 (5a^2 − 4ab + b^2)

Multiply together:

(ab^3)*(5a^2 + −4ab + b^2)

(ab^3)*(5a^2) + (ab^3)*(−4ab) + (ab^3)*(b^2)

= 5a^3b^3 − 4a^2b^4 + ab^5

Answer:

\(5a^3b^3-4a^2b^4+ab^5\)

Step-by-step explanation:

Given expression:

\(ab^3(5a^2-4ab+b^2)\)

Apply the distributive property  a(b - c + d) = ab - ac + ad :

\(\implies ab^3 \cdot5 a^2-ab^3 \cdot 4ab+ab^3 \cdot b^2\)

Collect like terms:

\(\implies 5aa^2b^3-4aabb^3+ab^2b^3\)

Apply the exponent rule  a = a¹ :

\(\implies 5a^1a^2b^3-4a^1a^1b^1b^3+a^1b^2b^3\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

\(\implies 5a^{(1+2)}b^3-4a^{(1+1)}b^{(1+3)}+a^1b^{(2+3)}\)

Simplify:

\(\implies 5a^3b^3-4a^2b^4+ab^5\)

Answer: the first question answer is 16.03 ft

the answer for number two is here too hand the way to get this answer

answer: Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

----> by TOA (opposite side divided by the adjacent side)

substitute the given values

solve for AC

therefore

Elijah is  standing from the base of the monument 159.14 feet

Answer: Elijah is standing from the base of the monument - 1

And the answer for number 3 is 850.9 feet

Answer: D. Subtracting 9 from each side

Step-by-step explanation:

Always start with numbers without variables first before doing anything with x. And make sure one side must not equal 0 unless you're doing polynomials.

Please help ❤️

Naming Polynomials

Name each polynomial by degree and number of terms.

1) 3

2) 6a3

3) 9m + 5m² + 10m3 - 5

4) -9x + 4x2 – 2x3 - 10x?

5) 5

6) -7 + 3n3

7) -a"

8) -2 + 6x - 72

9) 6

10) 10.rº

11) 6r* – 2x

12) 9+ 4m?

13) -3n

14) -ns

ans

4) -9x + 4x2 – 2x3 - 10x?

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

option C is correct.

Step-by-step explanation:

unit rate: \(\sf \dfrac{change \ in \ y}{change \ in \ x}\)

A)  \(\sf \frac{10}{4} / \frac{5}{6} = 3\)

B)  \(\sf \frac{1}{2} / \frac{2}{3} = \frac{3}{4}\)

C)  \(\sf \frac{4}{9} / \frac{4}{3} = \frac{1}{3}\)

D)  \(\sf \frac{3}{8} / \frac{1}{8} = 3\)

/ - refers to division symbol

Answer: 5 hours

Step-by-step explanation:

If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.