The length of the minute hand is
14
inches.

Answer:

Step-by-step explanation:

The opposite angles formed by two intersecting straight lines are equal:

(2x+6) = 80°

2x = 74°

x = 37°

Answer:

X = 37

Step-by-step explanation:

These are vertically opposite angles and thus equal.

Therefore,

\(2x + 6 = 80\)

\(2x = 74\)

\(x = 37\)

The 4 types of sphere are Hollow Sphere -Solid Sphere - Convex Sphere -Concave Sphere

A hollow sphere is a solid with a curved surface and a hollow center. The surface of this sphere is curved outward and the center is empty, making it lighter than a solid sphere. This type of sphere is often used in manufacturing and engineering for items such as balls, bearings, and other mechanical components. It is also used in sports, toys, and decorations.A solid sphere is a solid with a curved surface and a solid center. This type of sphere is more dense than a hollow sphere and is used in applications that require strength and stability. It is often used in scientific and engineering projects, as well as in industrial and medical tools.A convex sphere is a curved surface that is curved outward. This type of sphere is often used in optics, lenses, and mirrors, as well as in security systems, cameras, and telescopes. It is also used in architecture, art, and design.A concave sphere is a curved surface that is curved inward. This type of sphere is often used in optical instruments, such as eyeglasses and magnifying glasses. It is also used in lenses, mirrors, and other reflective surfaces. This type of sphere is also used in architecture and design, particularly for decorative elements.

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Answer:

r = -17

Step-by-step explanation:

Slope = -5

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(\frac{3 - r}{-8-[-4]}=-5\\\\\frac{3-r}{-8+4}=-5\\\\\frac{3-r}{-4}=-5\\\)

3-r = (-5)*(-4)

3 - r = 20

   -r = 20 - 3

  -r = 17

   r = -17

Answer: Should be A

Step-by-step explanation:

Not 100% sure but I'm pretty sure it's A

Answer:

A

Step-by-step explanation:

You need to insert the values into the equations

1) \(\frac{x^{6} -x}{4y}\)

\(\frac{(-4)^{6} -(-4)}{4(4)}\)

Then open the brackets

\(\frac{4096 -(-4)}{16}\)

Open the brackets again not forgetting that 2 - equal a positive

\(\frac{4100}{16}\)

Simplify

\(\frac{1025}{4}\)

Answer:

3

Step-by-step explanation:

Answer:

x = \(\sqrt{66}\)

Step-by-step explanation:

This is using the altitude on hypotenuse theorem

(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 6 × (6 + 5) = 6 × 11 = 66 ( take square root of both sides )

x = \(\sqrt{66}\)

Answer:x = ≤∫⇄

Step-by-step explanation:

i think im wrong and other guy is right

Answer:

Store 1

Step-by-step explanation:

store 2. tv is 250

250+25%

250+62.50=312.50

The equation  of line parallel to y=3x+9, Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross.

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

parallel lines have the slop therefore if

k:y=-3x+-7 ------>slope=-3

and I:y=mx+b

I II K=-3

I:y=-3xb+

We have the point(-6,-9) put the coordinate to the equation:

-9=-3(-6)+b

-9=18+b add 18 to both sides

9=b=9

y=3x+9

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Parallel lines in geometry are coplanar, straight lines that do not cross at any point and have the equation y=3x+9. Parallel planes are any planes that never cross in the same three-dimensional space.

In geometry, parallel lines are coplanar, straight lines that do not intersect at any point. Parallel planes are any planes that never cross in the same three-dimensional space. Parallel curves have a predetermined minimum distance between them and no contact or intersection.

Therefore,

Parallel lines have the slop therefore if

Substitute the value of slope -3

Let the given equation be y=-3x+-7

The equation of line exists y=mx+b

the value of m=-3

substitute the value of m in the above equation then,

y=-3x+b

We have the point(-6,-9) put the coordinate to the equation:

-9=-3(-6)+b

simplifying the above equation, we get

-9=18+b

add 18 to both sides

-9+18=18+b+18

9=b=9

Therefore, the equation of the line passing through the point (-6,-9) that is parallel to the line y=-3x - 7 exists y=3x+9.

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The domain of the function is `R` and the y-intercept is `(0, -3)`

Given, `y = log4(2x + 1) - 3`.

To determine the domain of the function,

we should look for all values of `x` that would make the given function undefined.

There are no real values of `x` that would make the function undefined.

Therefore, the domain of the function is all real numbers or `R`.

To determine the y-intercept, substitute `x = 0` in the given function.`

y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`

Therefore, the y-intercept of the function is `(0, -3)`.

Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.

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Answer:

Vinita is 12 years old

Step-by-step explanation:

24 / 2 = 12

12 + 12 = 24

Answer:

Vinita is 8 years old.

Step-by-step explanation:

We know that Smita is twice as old as Vinita, this means Smita is 2 times the age of Vinita. We can represent this in an equation, where the age of Vinita is x.

2x is the age of Smita.

x is the age of Vinita.

The sum of their ages is 24.

so we can write this as:

2x + x = 24

2x + x is 3x so,

3x = 24

Then divide each side by 2 to get x by itself.

x = 8

Hence, Vinita is 8 years old.

Answer:

the write abs is b

Step-by-step explanation:

5ax+3ax=4ax+12

8ax-4ax=12

4ax=12

ax=12/4

ax=3

x=3/a

Answer:

8m

Step-by-step explanation:

There are infinitely many solutions to this equation. For example, one possible solution is a = 2, b = 0. Another possible solution is a = 1, b = 2.

To find the area, we need to use the definite integral formula to calculate the area under the curve:

∫[0,4] f(x) dx = ∫[0,4] (ax + b) dx = 1/2 * a * x² + b * x |[0,4]

Substituting the limits of integration, we get:

1/2 * a * 4² + b * 4 - (1/2 * a * 0² + b * 0) = 16

Simplifying, we get:

8a + 4b = 16

Dividing by 4, we get:

2a + b = 4

Since (a,b) ≠ (0,0), there are infinitely many solutions to this equation. For example, one possible solution is a = 2, b = 0. Another possible solution is a = 1, b = 2.

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Ms. consuelo uses sets of twenty tennis balls each to pass around her class of first graders in order for them to solve the following word problem: gracie has six tennis balls. bailey has 14 tennis balls.Therefore, Bailey has 8 more tennis balls than Gracie.

Moving manipulatives around the class like the tennis balls in the activity, helps a learner more effectively solve problems because it does the following:

Engages learners in hands-on learning: Learners can actively engage in learning by touching, moving, and observing the manipulatives, which help them understand concepts and solve problems.

Eliminates abstraction: Children can see, touch, and manipulate the objects, which reduces abstraction and helps children connect concepts to the physical world.Builds number sense: Through experience with manipulatives, children can acquire a sense of numbers and can learn concepts like more and less, bigger and smaller, addition, and subtraction.

Creates motivation: Manipulatives such as blocks, puzzles, and beads are fun and enjoyable for children to play with. This encourages children to engage in learning and increases their motivation to learn.

Increases retention: Children are more likely to remember a concept when they have had a physical experience with it. They can visualize and remember the problem-solving process, which helps to build knowledge and skills.According to the problem,Gracie has 6 tennis balls.Bailey has 14 tennis balls.

The question is asking how many more tennis balls does Bailey have than Gracie. Hence, the difference between the number of tennis balls Bailey and Gracie have is: 14 - 6 = 8

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Answer:

ap.ply the r.ule of expo.nents !

( 3^7 × 3^-2 ) / 3^3

=> ( 3 ) ^ 7-2-3

=> ( 3 ) ^ 2

=> 9

hope that helps ✌

Answer:

\( \frac{15}{h} = \frac{20}{30} \\ 15 \times 30 = 20 \times h \\ h = \frac{450}{20} \\ h = 22.5\)

Answer:

(−3−1)(2+2)(1+4)

=−80

Step-by-step explanation:

sana po makatulong

Answer:

32+32÷32=32+1=33 is your answer

Answer:

A

Step-by-step explanation:

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

The ladder will move down with a speed of 6.86 feet/second

Given,

The length of the ladder = 25 feet

The base of the ladder pulled away from the wall at a rate = 2 feet/second

The distance from base of the ladder to the wall = 7 feet

We have to find the speed of the top of the ladder moving down;

Here,

Speed = distance/time

2 = 7 / t

t = 7/2 = 3.5 seconds

We can find the length of the wall using Pythagorean theorem;

L² = 25² - 7²

L² = 625 - 49

L² = 576

L = √576

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 feet/second

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The question is incomplete. Completed question is given below;

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet from the wall?

Answer:

The value of the determinant is 0.

Step-by-step explanation:

Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:

\(Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)\)

\(Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y\)

\(Det = 0\)

The value of the determinant is 0.

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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Answer:

Hello,

Step-by-step explanation:

P(x)=x^3-5x^2-7x+51

Since the coefficients are all reals,

4+i (conjugate of 4-i) is also a root.

The polynomial est divisible by (x-4-i)(x-4+i)=(x-4)²+1=x²-8x+17

If we divide P(x) by x²-8x+17 we find the quotient (x+3) and the remainder 0

P(x)=(x+4)(x-4-i(x-4+i)

Roots are -4,4+i and 4-i

Answer:

All the roots are -3, 4-i and 4+i.

Step-by-step explanation:

If oine root is 4 - i then another one is 4 + i as complex roots occur as conjugate pairs.

(4 - i)(4 + i)

= 16 - i^2

= 17.

As the last term = 51 = 3 * 17

looks like the other root is 3 or -3.

By the Factor theorem

If x = 3 then f(3) = 0

f(3) = 27 - 5(3)^2 - 7(3) + 51

     = 27 - 45 - 21 + 51 = 12 so 3 is not a root.

If x = -3:

f(-3) = -27 - 45 _ 21 + 51

      = 0

So,  x = -3 is a root.

The final simplified expression is: -211/7i - 3/7

To simplify the given expression, let's work step by step:

(4 - i)(-3/7i) - 7i(8/2i)

First, let's simplify each multiplication:

(4 * -3/7i - i * -3/7i) - (7i * 8/2i)

Now, simplify further:

(-12/7i + 3/7i^2) - (56/2)

Remember that i^2 is equal to -1:

(-12/7i + 3/7(-1)) - (28)

Simplify the expression:

(-12/7i - 3/7) - 28

Combining like terms:

-12/7i - 3/7 - 28

Now, let's express the terms as a single fraction:

-12/7i - 3/7 - 196/7

Combine the numerators:

(-12 - 3 - 196)/7i - 3/7

Simplify further:

(-211)/7i - 3/7

The final simplified expression is:

-211/7i - 3/7

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The constant of proportionality is 10 in the given graph which represents the total number of plants and number of seed packets used.

Equivalence between two ratios is referred to as proportionality in algebra. A and B are in the same proportion as C and D in the expression a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is typically used to solve a word problem.

It is resolved by multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator. Any relationship that always has the same ratio is referred to as proportional.

For instance, the ratio of proportionality is the average number of apples per tree, and the quantity of apples in a crop is proportional to the number of trees in the orchard.

Here, when number of seeds packet is 1 plants are 10 and when seeds packet are 5 plants are 50, we can divide each of the variables to find the constant,

10/1 = 10

20/2 = 10

30/3 = 10

Thus, constant is 10 represented as y = kx

where y = no. of plants = 30

k = 10

x = no. of seeds packet = 3

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Answer:

-2asmall2 + 4a - 8

Step-by-step explanation:

The sample variance of bottle weight is 2.80.The sample variance is a measure of how spread out the data is from the mean. In this case, the sample variance of 2.80 means that the bottle weights vary quite a bit from the sample mean of 4 grams.  

To find the sample variance, first we need to calculate the sample mean, which is (4+2+5+4+5+2+6)/7 = 4.

Then, we subtract the sample mean from each observation, and square each of the differences: (4-4)^2, (2-4)^2, (5-4)^2, (4-4)^2, (5-4)^2, (2-4)^2, and (6-4)^2.

The sum of these squared differences is 28. Finally, we divide this sum by n-1 (where n is the sample size) to get the sample variance: 28/6 = 2.80.

However, it's important to note that the sample variance is just an estimate of the true population variance, and can be affected by outliers or the specific sample chosen.

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Answer:

x = 15

Step-by-step explanation:

4x - 3 ( x - 2 ) = 21

Distribute

4x -3x +6 = 21

Combine like terms

x+6 = 21

Subtract 6 from each side

x+6-6=21-6

x = 15

Answer:

0.64 kilogram

Step-by-step explanation: