10 to the first power times 16.29

Answer:

To find the angle RST we have to first find SRT As the exterior angle adjoined with SRT =53°

so the SRT = Outer angle adjoined with angle SRT

angle SRT = 53° [°.° vertically opposite angles are equal]

Angle SRT + Angle STR + Angle RST = 180°

=>53° + 75° + Angle RST =180°

=> 128° + Angle RST = 180°

=> Angle RST =(180-128)°

= 52°

SO NO. C IS correct what Cate says is absolutely right

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

29,455.87

Step-by-step explanation:

! Hope this helps

Answer:

the answer is 29,455.87 I hope it helps

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

Answer:

$2.85 per person

Step-by-step explanation:

$191.10 * 0.15 = $28.665 tip

total tip divide by 10 people

$28.665/10 = $2.85

Each person has to contribute $2.85 amount for the tip.

Given,

Total no. of person go out for dinner = carrie + her nine friends

                                                             = 1+9 = 10

Amount of the bill is = $191.10

Amount of tip is = 15% of the bill

                           = \(\frac{15 }{100}\) × $  191.10

                           = 28.665

Total amount each person contribute an equal amount for tip is = \(\frac{28.665}{10}\)

=$ 2.85

Each person contribute $2.85 amount for the tip.

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Answer:

see the attachment photo!

Answer:

356 ft

Step-by-step explanation:

give brainliest

Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

x intercept is (33,0)

y intercept is (0, 11)

Step-by-step explanation:

x-intercepts are found when y=0

x + 3(0)=33,,, x=33

y-intercepts are found when x=0

0 + 3y= 33,,, y=11

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

A formula without free variables is a formula that does not contain any variables that are not quantified.

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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Answer:

  y = x³ -2x² -13x -10

Step-by-step explanation:

You want a polynomial with x-intercepts -2, -1, and 5, and a y-intercept of -10.

A polynomial with zero x = p will have a factor of (x -p). The three given zeros mean factors of the desired polynomial will be ...

  p(x) = (x -(-2))(x -(-1))(x -5) = (x +2)(x +1)(x -5)

Expanding this gives ...

  p(x) = (x +2)(x² -4x -5) = x³ -2x² -13x -10

This polynomial has a constant of -10, which will be its y-intercept. No additional scaling is needed.

The polynomial function is ...

  y = x³ -2x² -13x -10

Answer:

a)  A simple random sample of 340 employees

b)  a) Cluster sample

Step-by-step explanation:

a) Remember, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.

Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.

b) A cluster sample is best used in this case because it involves dividing the population into several clusters or groups, then the researcher randomly selects a particular cluster or group in other collect research data for analysis.

Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.

Answer: 400

Step-by-step explanation:

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

Solution:

Given:

The domain of a function is the set of input values that makes a function defined.

Hence, from the table, the input values are the x -values.

Hence, the x-values from the table represent the domain.

Therefore, the domain is {1,2,3,4}

OPTION A is correct.

The first step will be subtract 3 from each side of the model.

By subtracting 3 from each side of the model, the 3 in the Right Hand Side will be cancelled, and the model will be:

2x = 5 - 3 = 2

Then the next step will be dividing 2 from each side of the model.

2x + 3 = 5

By subtracting 3 to both the sides, we get

2x + 3 - 3 = 5 - 3

or, 2x = 2

By dividing 2 to both the sides, we get

2x/2 = 2/2

or, x = 1

The value of x is 1.

12x + 98

Step-by-step explanation:

AB=14x +25 +73-2x=12x+98

Answer:

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

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

Answer:

46

Step-by-step explanation:

13a+4b

Substitute

13(2)+4(5)

Multiply

26+20

Add

46

Answer:

The variables are m and n

Step-by-step explanation:

I learned this

In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".

The statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.

Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The system of equations has two solutions: (13, -208) and (2, -37).

To solve the system of equations, we can set the expressions for y equal to each other and solve for x:

x^2 - 18x - 3 = -3x - 29

Adding 3x and 29 to both sides, we get:

x^2 - 15x + 26 = 0

Factorizing the left-hand side, we get:

(x - 13)(x - 2) = 0

So, either x - 13 = 0 or x - 2 = 0.

If x - 13 = 0, then x = 13. Substituting this value of x into either of the original equations, we get:

y = 13^2 - 18(13) - 3 = -208

Therefore, one solution to the system of equations is (13, -208).

If x - 2 = 0, then x = 2. Substituting this value of x into either of the original equations, we get:

y = 2^2 - 18(2) - 3 = -37

Therefore, another solution to the system of equations is (2, -37).

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Based on the graph, the point that is a solution to the system of inequalities is C(1,2).

What is inequality ?

An inequality is a mathematical statement that describes a relationship between two values or expressions that are not necessarily equal. Inequalities use symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to) to compare the values or expressions.

The graph shows a system of linear inequalities. The shaded region represents the solution set of the system.

Therefore, Based on the graph, the point that is a solution to the system of inequalities is C(1,2).

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Ratio table can help you find equivalent ratios in order to solve problems.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Ratio tables show equivalent ratios between two quantities. You can create a ratio table by multiplying (or dividing) both quantities in the ratio by the same value to find an equivalent ratio.

A ratio table can help you find equivalent ratios in order to solve problems.

If a straight line passing through the origin has same ratios or which has same slope at all points.

Hence, ratio table can help you find equivalent ratios in order to solve problems.

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