2(t+1)=10 what does t equal

Answer:

7 1/40

Step-by-step explanation:

7.025

= 7025/1000

=281/40

7 1/40

Answer:

d) 7 1/40

e)17/33

Step-by-step explanation:

d) 281/40

7 1/40

e) 714/1386 = 17/33

The slope of the line passing through the points A(1,0) and B(3,11) is 5.5 as a decimal.

The slope of a line is a measure of how steep the line is and describes the rate at which the line is rising or falling.

It is defined as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.

The formula for slope is:

slope = (changes in y)/(change in x).

It is typically denoted by the letter "m".

The slope of the line passing through points A(1,0) and B(3,11) is:

Rise / Run = (Y-Coordinate Change) / (X-Coordinate Change).

= (11-0) / (3-1)

= 11/2

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The Rotate Array problem requires rotating an array of n elements to the right by k steps. Three different approaches to solve this problem are: using extra space, the reverse method, and the cyclic method.

Here are three different approaches to solve the Rotate Array problem:

1. Using extra space: We can create a new array of the same size as the input array, and then copy the elements of the input array into the new array in rotated order. Finally, we can copy the new array back to the input array. The time complexity of this approach is O(n), where n is the size of the input array.

2. Reverse method: We can reverse the entire array, and then reverse the first k elements and the remaining n-k elements separately. The time complexity of this approach is O(n), where n is the size of the input array.

3. Cyclic method: We can rotate the array in a cyclic manner, where we move the elements in a cycle of k steps until we have moved all the elements. This approach involves swapping the elements in place, without using any extra space. The time complexity of this approach is also O(n), where n is the size of the input array.

Here's the Python code for each of these approaches:

1. Using extra space:

```
def rotate(nums, k):
   n = len(nums)
   new_nums = [0] * n
   for i in range(n):
       new_nums[(i+k) % n] = nums[i]
   nums[:] = new_nums
```

2. Reverse method:

```
def rotate(nums, k):
   n = len(nums)
   k = k % n
   nums.reverse()
   reverse(nums, 0, k-1)
   reverse(nums, k, n-1)

def reverse(nums, left, right):
   while left < right:
       nums[left], nums[right] = nums[right], nums[left]
       left += 1
       right -= 1
```

3. Cyclic method:

```
def rotate(nums, k):
   n = len(nums)
   k = k % n
   count = start = 0
   while count < n:
       curr = start
       prev = nums[start]
       while True:
           next_idx = (curr + k) % n
           nums[next_idx], prev = prev, nums[next_idx]
           curr = next_idx
           count += 1
           if start == curr:
               break
       start += 1
```

Note that in each of these solutions, we first calculate the effective value of k by taking the modulus of k and n, since rotating an array by n+k steps is equivalent to rotating it by k steps.

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This means that the central angle of the sector is \((2/5)(360)=144^{\circ}\)

Part i

\(\frac{144}{360} (\pi)(2)(7)=\frac{28\pi}{5} \text{ cm}\)

Part ii

\((\pi)(7^2) \frac{144}{360}=\frac{98\pi}{5} \text{ cm}^2\)

Answer:

To tell if a polynomial is constant, linear, quadratic, cubic or quartic, you must first look at the highest power of the variable in the polynomial. If the highest power is 0, then the polynomial is a constant. If the highest power is 1, then it is a linear polynomial. If the highest power is 2, then it is a quadratic. If the highest power is 3, then it is a cubic and finally, if the highest power of the variable is 4, then the polynomial is a quartic.

Step-by-step explanation:

By definition, a number is divisible by 4 if the last two digits of the number are divisible by 4.

A number can be even while not being divisible by 4.

For example, the number 218 is even, but is not divisible by 4 since 18 is not divisible by 4.

Hope this helps.

頑張って!

Answer:

Step-by-step explanation:

2 and 6 are the first 2 counterexamples.  Any number that has only 1 two as its prime factors cannot be divisible by 4.

2 * 5 * 7 = 70 which is not divisible by 4.

If the number has more than one 2 as a prime factor, it is divisible by 4.

The density of gold is 19.3 g/cm³. To convert this value to kilograms per cubic meter, we need to multiply it by 1000 (since there are 1000 grams in a kilogram) and by 100³ (since there are 100 centimeters in a meter and we are converting from cubic centimeters to cubic meters). Therefore, the answer is (c) 19.3 × 10^4 kg/m³.

The displacement of the engine in the 1963 Chevrolet Corvette Sting Ray is given as 327 cubic inches. To convert this to liters, we can use the given conversion factors: 1 L = 1000 cm³ and 1 in. = 2.54 cm. First, we convert cubic inches to cubic centimeters by multiplying by (2.54 cm)³, and then we convert cubic centimeters to liters by dividing by 1000. The calculation is as follows: (327 in³) × (2.54 cm/in)³ ÷ 1000 cm³/L = 5.36 L. Therefore, the displacement of the engine is (a) 5.36 L.

When an object accelerates with a constant acceleration of 4 m/s² for 1 hour, we need to determine its final velocity. To do this, we can use the equation: v = u + at, where v is the final velocity, u is the initial velocity (assumed to be 0 m/s since the object starts from rest), a is the acceleration, and t is the time. Plugging in the given values, we have v = 0 + (4 m/s²) × (3600 s). Simplifying this, we get v = 14,400 m/s. However, we need to convert this velocity to kilometers per second. There are 1000 meters in a kilometer and 3600 seconds in an hour. Therefore, the final velocity is 14,400 m/s ÷ 1000 ÷ 3600 = 0.04 km/s. Hence, the answer is (c) 1.44 km/s.

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Answer: x

=

2

y

=

3

Step-by-step explanation:

You can re-arrange equation

x

+

y

=

5

to get

x

=

5

−

y

and then substitute this into the equation

2

x

+

y

=

7

to get

2

(

5

−

y

)

+

y

=

7

.

This can then be simplified to

10

−

y

=

7

and so

3

−

y

=

0

which means

y

=

3

.

Substitute

y

=

3

into

x

+

y

=

5

and you get

x

+

3

=

5

, therefore:

Answer:

X=4 Y=3

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−y=5:

2x−y=5

2(−y+7)−y=5

−3y+14=5(Simplify both sides of the equation)

−3y+14+−14=5+−14(Add -14 to both sides)

−3y=−9

−3y

−3

=

−9

−3

(Divide both sides by -3)

y=3

Step: Substitute3foryinx=−y+7:

x=−y+7

x=−3+7

x=4(Simplify both sides of the equation)

Answer: i think the second answer is 92

Step-by-step explanation:

Answer: z = 23

Subtract 32 and 9, which equals 23

So your equation is 23 + 9 = 32

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

-8m + (-7.7n - 6)

Step-by-step explanation:

You distribute the negative in front of the parentheses, to everything inside of the parentheses, and change the sign to addition.

Answer: x+1 = y/2

Step-by-step explanation:

X is increasing by 1

(Adding 1 to each number)

For Y, divide it by 2

-4/2 = -2

-2/2 = -1, etc.

Answer: 120 pepper slices

Step-by-step explanation: Since 6 pizzas is twice as many pizzas as 3 pizzas, you would also double the amount of pepper slices, giving you 120 pepper slices.

120

First, divide 60 and 3

60 ÷ 3 = 20

Then, multiply 20 and 6

20 × 6 = 120

Answer:

144

Step-by-step explanation:

Answer:

y > 30

Step-by-step explanation:

0.3y-2>7

move the constant to the right side

0.3y>7+2

calculate

0.3y>9

divide both sides by 0.3

0.3y/0.3 = 9/0.3

calculate

y>30

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

2000 = 24x + 20y (x represents hours and y represents money per sale)

she must make 88 sales

Step-by-step explanation:

2000 = 24(10) + 20y

2000 = 240 + 20y

-240  = -240

1760 = 20y

/20   = /20

88 = y

Answer:

The CORRECT answer is cos

Step-by-step explanation:

It would read csc x cotx(1 - cos ^2 x)=cosx

Hope this helps!!!

Please give me brainliest!!

Have a GREAT day and remember to take care of yourself!

The required trigonometric function is cos x.

Given that cosec x cot x \((1-cos^{2}x )\).

By using trigonometric identities  \(cos^{2}x + sin^2x=1\),

that gives \(1-cos^2x=sin^2x\). -----(1)

By using the trigonometric functions,

cosec x = \(\frac{1}{sin x}\)    -------(2)

cot x = \(\frac{cos x}{sin x}\)    -----------(3)

By substituting equation 1, 2 and 3 in the given expression,

That implies, cosec x cot x \(sin^{2}x\) =  \(\frac{1}{sin x}\) × \(\frac{cos x}{sin x}\) × \(sin^2 x\)

On algebraic simplifying gives,

cosec x cot x \(sin^{2}x\) = \(\frac{cos x}{sin^2 x}\) × \(sin^2 x\)

On simplifying trigonometric functions gives,

cosec x cot x \(sin^{2}x\) = cos x.

Hence, the required trigonometric function is cos x.

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All possible lengths of segment AB wil be 27 < AB < 81.Option b is correct

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Any two triangle sides' lengths added together are longer than the third side's length.

The triangular inequality theorem is applied in three ways;

1.

AC+BC > AB

27+54 > AB

81 > AB

2.

27+AB > 54

AB> 54-27

AB > -27

3.

54+AB > 27

AB > 27-54

AB > -27

All possible lengths of segment AB wil be 27 < AB < 81.

Hence option b is correct

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Answer:

27 < AB < 81

Step-by-step explanation:

The answer above is correct.

Answer:

The first expression is a Trinomial and the second expression is a Binomial

The probability of obtaining a sum of 7 when rolling two number cubes is 1/6 or approximately 0.1667.

To find the probability, we need to determine the number of favorable outcomes (sum of 7) and the total number of possible outcomes when rolling two number cubes. Each cube has six faces, numbered from 1 to 6.

To obtain a sum of 7, we can have the following combinations: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). There are six favorable outcomes.

The total number of possible outcomes when rolling two number cubes is the product of the number of outcomes for each cube, which is 6 * 6 = 36.

Therefore, the probability of obtaining a sum of 7 is given by:

Number of favorable outcomes / Total number of possible outcomes = 6 / 36 = 1/6 ≈ 0.1667.

Thus, the probability that the sum of the two numbers rolled on the number cubes will be 7 is approximately 0.1667, or 1/6 when expressed as a fraction.

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Step-by-step explanation:

7m - 17 = -24

7m -17 +17 = -24 + 17

7m = 17 - 24

7m = -7

7m/7 = (-7)/7

m = -1

The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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Thus, the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

To calculate the probability of getting at least 5 questions correct, we need to use the binomial distribution formula. This formula calculates the probability of getting a specific number of successes in a fixed number of trials, given a specific probability of success.

The formula for the probability of getting at least 5 successes in 20 trials with a probability of success of 1/4 is:

P(X ≥ 5) = 1 - P(X < 5)

where X is the number of correct answers.

Using the binomial distribution formula, we can calculate the probability of getting less than 5 correct answers as:

P(X < 5) = ΣP(X = k) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (0.75)^20 + 20(0.25)(0.75)^19 + (20*19/2)(0.25)^2(0.75)^18 + (20*19*18/6)(0.25)^3(0.75)^17 + (20*19*18*17/24)(0.25)^4(0.75)^16

= 0.926

Therefore, the probability of getting at least 5 questions correct is:

P(X ≥ 5) = 1 - P(X < 5)

= 1 - 0.926

= 0.074

So the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

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To find the linear function with the given properties, we need to use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

To find the slope, we use the formula:

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

Using the points (-7, 10) and (-1, -11), we get:

m = (-11 - 10) / (-1 - (-7)) = -21 / 6 = -3.5

So the slope of the linear function is -3.5.

To find the y-intercept, we can use one of the given points and the slope:

y = mx + b

10 = (-3.5)(-7) + b

10 = 24.5 + b

b = -14.5

So the linear function is:

f(x) = -3.5x - 14.5

Therefore, f(x) = -3.5x - 14.5 is the linear function with the given properties.
To find the linear function f(x) with the given properties, we first need to determine the slope (m) and the y-intercept (b) using the two given points: (-7, 10) and (-1, -11).

The slope formula is m = (y2 - y1) / (x2 - x1). Plugging in the points, we get:

m = (-11 - 10) / (-1 - (-7))
m = (-21) / 6
m = -3.5

Now we need to find the y-intercept (b) by using one of the points and the slope. Let's use the point (-7, 10) and the slope (m = -3.5) in the equation y = mx + b:

10 = -3.5(-7) + b
10 = 24.5 + b
b = -14.5

Now we have both the slope and the y-intercept, so the linear function f(x) is:

f(x) = -3.5x - 14.5

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Answer:

3

Step-by-step explanation:

\( \frac{ \sqrt{36} }{ \sqrt{4 } } = \frac{6}{2 } = 3\)

The values of the variables for the parallelogram include the following;

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In this context, we can reasonably infer and logically deduce that this parallelogram has both pairs of opposite sides parallel to each other and the opposite angles (vertical angles) are equal and congruent.

By CPCTC, the variable x can be calculated as follows;

15x = 45°

x = 45°/15

x = 3

Since the diagonals of a parallelogram are perpendicular to each other, we have:

m<1 = 3y - 9 = 90

3y = 99

y = 33

15x = 18z

15(3) = 18z

45 = 18z

z = 45/18

z = 2.5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

12+(23÷23)−2 .

12+1-2= 11