10+(5-3) please help me again I need help with one more again

Answer:

57.8°

Step-by-step explanation:

SohCahToa

use sin^1 to get angle

sin^1(11/13)=57.7957725

to the nearest tenth=57.8°

A spherical container having a radius of 8 cm will be able to contain approximately 2688.53 cm³ of water.

To solve the question :

The volume of a sphere = 4/3 πr³

Where,

π = mathematical constant pi and

r = radius of the sphere.

Given,

radius (r) = 8 cm and

π = 3.14,

Substituting the values of π and r to the volume equation

V = (4/3) x 3.14 x 8³

V = (4/3) x 3.14 x 512

V = 2688.53 cm³ (rounding off to the nearest hundredth)

Hence, a spherical container having a radius of 8 cm will be able to contain approximately 2688.53 cm³ of water.

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Answer:

6.5875 × 10^2

Step-by-step explanation:

Standard form format is: a×10^b

A number is written in standard form when it is represented as a decimal number times a power of 10.

As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 10^8.

Example: Convert 459,608 to Standard Form

Move the decimal 5 places to the left to get 4.59608

a = 4.59608

We moved the decimal to the left so b is positive

b = 5

The number 459,608 converted to standard form is 4.59608 x 10^5

hope this helps <3

The area of the rhombus who has a base of 8 cm and a height of 4.2 cm is 33.6 centimeters².

The measurement of the size of a two-dimensional shape or surface is referred to as an area.

It is the area contained within the perimeter of a flat or two-dimensional object and is expressed in square units like square centimetres, square metres, square feet, etc.

For instance, to find the area of a rectangle, multiply its length by width, and to find the area of a circle, multiply pi () by the radius square.

area of rhombus can be found as-

Area = (base x height) / 2

In this case, the base is 8 cm and the height is 4.2 cm, so we can substitute these values into the formula:

Area = (8 cm x 4.2 cm) / 2

Area = 33.6 cm²

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Answer: 22

Step-by-step explanation:

The formula for perimeter of a rectangle is side 1 + side 1 + side 2 + side 2. Side one is 16. This means that 16x2 is 32. Then, you realize there are 44 meters remaining. 44/2=22. The other side is 22.

Answer: 2x^3y^4

Step-by-step explanation:

The expression ^4√16x^12y^16 can be simplified as follows:

^4√16 = 2, since 2^4 = 16

x^12 can be written as (x^3)^4, and ^4√(x^3)^4 = x^3

y^16 can be written as (y^4)^4, and ^4√(y^4)^4 = y^4

Therefore, ^4√16x^12y^16 simplifies to:

2x^3y^4

Answer:

The speed of the boat in still water is 15 mi/hr while the speed of the current is 10 mi/hr.

Step-by-step explanation:

Given: d = 350 miles

[tex]t_{ds}[/tex] = 14 hours

[tex]t_{us}[/tex] = 70 hours

Asked: Speed of the boat [tex]V_b[/tex] in still water and speed of the current [tex]V_c[/tex]

Solve:

Note that when the boat is going downstream, the current is helping the boat to speed up and when the boat is going upstream, the current is slowing it down.

Get the speed downstream

[tex]V_{ds} = V_b + V_c[/tex]

350mi/14hrs = [tex]V_b + V_c[/tex]

25 mi/hr =    [tex]V_b + V_c[/tex]  

Transpose to get the value of Vb

25 mi/hr - Vc = Vb   ---equation 1

Get the speed upstream

[tex]V_{us} = V_b - V_c[/tex]

350mi/70hrs = Vb - Vc

5 mi/hr = Vb - Vc

Transpose to get the value of Vb

5 mi/hr + Vc = Vb   ----equation 2

Equate equations 1 and 2

25 mi/hr - Vc = 5 mi/hr + Vc

Transpose

25 mi/hr - 5 mi/hr = Vc + Vc

20 mi/hr = 2 Vc

Divide both sides of the equation by 2

10 mi/hr = Vc

Vc = 10 mi/hr

From 25 mi/hr =    [tex]V_b + V_c[/tex]  we then solve the speed of the boat

25 mi/hr = Vb + 10 mi/hr

25 mi/hr - 10 mi/hr = Vb

15 mi/hr = Vb

Vb = 15 mi/hr

Answer:

thursday

Step-by-step explanation:

there are 7 days in a week, and the multiple of 7 closest to 100 is 14, so after 98 days, it will be a monday. 3 days after monday is thursday, which is your answer. I hope this helps!

Answer:$26,141.13.

Step-by-step explanation:

Using the formula A = P * (1 + r/n)^(n*t), where A is the balance, P is the principal, r is the interest rate, n is the number of times per year that the interest is compounded, and t is the time in years, we can calculate the balance in the savings account after 10 years:

A = 8,063.00 * (1 + 0.1469/4)^(4*10)

A ≈ 26,141.13

Therefore, the balance in the savings account after 10 years, rounded to the nearest cent, is $26,141.13.

The system of equations that could be used to determine the number of pennies and the number of nickels that Kennedy has is 0.01b + 0.05d = 0.81

b = 9d

The variables used to write the system of equation is Number of pennies = b

Number of nickels = d

Let

Number of pennies = b

Number of nickels = d

0.01b + 0.05d = 0.81

b = 9d

Therefore, the variables are b for pennies and d for nickels.

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Therefore, the correct answer is A. Y intercept will be less and X will be less.

A graph is a visual representation of data that shows the relationship between two or more variables. Graphs are commonly used to display information in a way that is easy to interpret and analyze. They are often used in fields such as science, mathematics, economics, and engineering to help illustrate and explain complex data.

Here,

The introduction of a cost of 0.25 cents per mile for the driver would be an additional expense for the trucking company, and would affect their profit. This means that the profit values (on the y-axis) would decrease for each point on the graph. However, the miles traveled (on the x-axis) would remain the same as the cost of the driver is proportional to the distance traveled.

Therefore, the y-intercept of the graph (the profit when the truck has traveled zero miles) would be less than it was before, because the trucking company has a new cost that reduces their overall profit. However, the x-intercept (the point where the profit is zero) would remain the same, as this point is determined solely by the revenue and cost of the trucking company.

The slope of the graph would also be affected, as the profit now decreases at a faster rate as the miles traveled increase. The new slope would depend on the specific values of the revenue, costs, and driver expenses for the trucking company, but in general, it would be steeper than before.

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Since the calculated F-value of 0.555 is less than the critical value of 4.025, we fail to reject the null hypothesis.

A null hypothesis is a statement that establishes the equality of two expressions and frequently includes variables, constants, and mathematical operations.

The equal sign (=) is used to denote the space between the two sides, which are referred to as the left-hand side (LHS) and the right-hand side (RHS).

To test the given hypothesis, we will use the F-test for two variances.

The null and alternative hypotheses are:

H0: σ1² = σ2² (no difference in population variances)

Ha: σ1² > σ2² (population variance of first group is greater than that of second group)

The test statistic is calculated as:

F = s1² / s2²

Where s1² and s2² are the sample variances of the two groups.

The degrees of freedom for the F-distribution are df1 = n1 - 1 and df2 = n2 - 1.

Using the given sample information, we have:

n1 = 10, n2 = 11

s1² = 562, s2² = 1013

Therefore, the test statistic is:

F = s1² / s2² = 562 / 1013 = 0.555

The degrees of freedom are df1 = 9 and df2 = 10.

Using a significance level of α = 0.01 and the F-distribution tables or a calculator, the critical value for the right-tailed test with df1 = 9 and df2 = 10 is 4.025.

Since the calculated F-value of 0.555 is less than the critical value of 4.025, we fail to reject the null hypothesis. There is not enough evidence to conclude that the population variance of the first group is greater than that of the second group at a significance level of α = 0.01.

We can conclude that there is not enough evidence to support the claim that σ1² > σ2².

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Answer:

x = 5

Step-by-step explanation:

given FH is a diameter , then

arc FH = 180°, that is

FG + GH = 180°

103° + GH = 180° ( subtract 103° from both sides )

GH = 77°

the central angle HIG is equal to the arc that subtends it GH , so

∠ HIG = 77°

∠ EIF and ∠ HIG are vertically opposite angles and are congruent , then

∠ EIF = 77°

the arc EF subtends the central angle EIF , so

EF = 77°

the sum of the 3 arcs = 180° , that is

HD + DE + EF = 180

15 + 18x - 2 + 77 = 180

18x + 90 = 180 ( subtract 90 from both sides )

18x = 90 ( divide both sides by 18 )

x = 5

then arc DE = 18x - 2 = 18(5) - 2 = 90 - 2 = 88°

So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

To find the total net amount that the supermarket owes the wholesaler for the order, we need to first calculate the cost of each item after the trade discount is applied, and then add up the costs of all the items.

For the 13 cases of organic vegetable soup, the list price per case is $18.90, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $18.90 = $7.37

The cost per case after the discount is:

Cost per case = $18.90 - $7.37 = $11.53

So, the total cost of 13 cases of organic vegetable soup is:

Total cost of vegetable soup = 13 x $11.53 = $149.89

Similarly, for the 4 cases of organic baked beans, the list price per case is $33.50, and the trade discount is 39%. So, the discount amount per case is:

Discount amount = 39% x $33.50 = $13.07

The cost per case after the discount is:

Cost per case = $33.50 - $13.07 = $20.43

So the total cost of 4 cases of organic baked beans is:

Total cost of baked beans = 4 x $20.43 = $81.72

Therefore, the total net amount the supermarket owes the wholesaler for the order is:

Total net amount = Total cost of vegetable soup + Total cost of baked beans

= $149.89 + $81.72

= $231.61

So, the total net amount the supermarket owes the wholesaler for the order is $231.61.

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Step-by-step explanation:

6^2 / 6^1   x    6^12 / 6^8   =

6^(2-1)      x    6^(12-8)   =

6^1          x    6^4   =

6^(1+4)  =   6^5     or  = 7776

The area of a sand dollar that is 3 inches wide is 7.0686 inch².

What is  linear equation?

An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.

                         The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.

Width of sand dollar's circular body  = d = 3 inches

Radius of the  sand dollar's circular body  = r

 r = d/2 = 3/2 = 1.5 inch

area of circle = πr²

So, the area of a sand dollar that is 3 inches wide:

  A = 3.14 * (1.5)² = 7.0686 inch²

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Answer: slope = -10/3

Step-by-step explanation:

Answer:

slope = - [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (2, 5 )

m = [tex]\frac{5-(-5)}{2-5}[/tex] = [tex]\frac{5+5}{-3}[/tex] = [tex]\frac{10}{-3}[/tex] = - [tex]\frac{10}{3}[/tex]

The list of intervals on which the function is constant is:

A(-4,-3) and B(3,6).

A constant function is a function that returns the same value regardless of the input. In other words, for every value of x, the output of the function is the same constant value. For example, the function f(x) = 2 is a constant function because no matter what value of x is plugged into the function, the output will always be 2. Constant functions are often represented by horizontal lines on a graph.

A list of intervals in a graph typically indicates the range of values or intervals on a given axis. For example, on the x-axis of a graph, a list of intervals might represent the range of values from a lower bound to an upper bound, with each interval indicating a range of values that falls between two specific points on the axis. On the y-axis, the intervals might represent the range of possible values for the dependent variable or data being plotted. In general, the intervals on a graph provide a visual representation of the range of values being considered or plotted.

The given function in the graph on intervals A(-4,-3) and B(3.6) is a horizontal line which means there is no change in output. So the function is constant.

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The probabilities are as follows:

(a) P(A')= 0.7

(b) P(A∪B) =  0.3

(c) P(A'∩B) =  0

(d) P(A∩B') =  0.1

(e) P[(A∪B)'] =  0.7

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) P(A') = 1 - P(A) = 1 - 0.3 = 0.7

(b) P(A∪B) = P(A) + P(B) - P(A∩B) = 0.3 + 0.2 - 0.2 = 0.3

(c) P(A'∩B) = P(B) - P(A∩B) = 0.2 - 0.2 = 0

(d) P(A∩B') = P(A) - P(A∩B) = 0.3 - 0.2 = 0.1

(e) P[(A∪B)'] = 1 - P(A∪B) = 1 - 0.3 = 0.7

Note: P(A) represents the probability of event A occurring, P(B) represents the probability of event B occurring, and P(A∩B) represents the probability of both events A and B occurring simultaneously. The symbol '∪' represents the union of two events, and the symbol '∩' represents the intersection of two events. The complement of an event A is represented by A'.

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As a result, the cylinder's height is roughly 1.65 metres as In the second line, we failed to deduct 39.27 from both sides.

A cylinder is really a muti geometric shape made up of two circular bases that are congruent and parallel to one another, as well as a curving lateral surface that links the bases. It can be envisioned as a reasonable shape that is created by extending a circle perpendicular to the plane of the circle. Several advantageous characteristics of the cylinder, such as a constant bridge area over its whole length, make it suitable for a wide range of practical applications. For instance, a lot of different kinds of containers, such pipes and tubes, have cylindrical shapes. The following formula can be used to figure out the size of a cylinder:[tex]V = \pi r^2h[/tex] where V is the capacity, r is the circumference of the spherical base, and h is the cylinder's height.

given

We must apply the formula for a cylinder's surface area, which is: to determine the cylinder's height.

[tex]SA = 2\pi r^2 + 2\pi rh[/tex]

where SA stands for surface area, r for base radius, and h for cylinder height.

The cylinder has a radius of 2.5 m and a diameter of 5 m.

[tex]13 = 2\pi (2.5)^2 + 2\pi (2.5)h[/tex]

13 = 39.27 + 15.71h

-26.27 = 15.71h

h = -26.27/15.71 ≈ -1.67

In the second line, we failed to deduct 39.27 from both sides. When we do this, the height is given a positive value:

h = (13 - 39.27) / 15.71 ≈ 1.65

As a result, the cylinder's height is roughly 1.65 metres as In the second line, we failed to deduct 39.27 from both sides.

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Answer: 12m

Step-by-step explanation:

Answer:

x ≥ -3

Step-by-step explanation:

-10 ≤ 2x - 4

-6 ≤ 2x

x ≥ -3

We can't simplify any more, so the answer is x ≥ -3

The solutions to the equation -b² + 2b = 0 are b = 0 and b = 2.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), which are connected by an equals sign (=). The expressions on each side of the equals sign can be made up of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An equation can be solved to find the value of the variable(s) that makes both sides of the equation equal.

To find the solution of -b²+ 2b = 0, we can use algebraic manipulation as follows:

-b² + 2b = 0

Factor out -b:

-b(b - 2) = 0

From this equation, we see that either -b = 0 or b - 2 = 0:

-b = 0 or b - 2 = 0

Solving for b in each case, we get:

-b = 0 --> b = 0

b - 2 = 0 --> b = 2

Therefore, the solutions to the equation -b² + 2b = 0 are b = 0 and b = 2.

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Answer:

40%

Step-by-step explanation:

2/5=x/100

cross multiply and you get 5x=200

by isolation the variable you will get x=40

therefore, 40% of Canadians read at least 10 books a year

Answer:

On the first draw, there are 10 numerals out of 36 cards.

P(first card is a number) = 10/36 = 5/18

On the second draw, there are 9 numerals out of 35 cards.

P(second card is a number) = 9/35

The probability of both events is the product:

P(both cards are numbers) = P(first card is a number) x P(second card is a number)

= 5/18 x 9/35

= 1/2 x 1/7 (cancel a 5 and a 9).

= 1/14

The total number of library visits per year is 2.7 million, written in standard form as 2.7×106.

Average refers to the central tendency or typical value of a set of numerical data, which is obtained by dividing the sum of the values by the total number of values. It is a commonly used statistical measure that helps to represent the general trend or level of a dataset. The average can be calculated for various types of data, such as income, age, weight, and test scores, among others.

According to the given information:

To calculate the total number of library visits per year, we need to multiply the average number of visits per resident by the total population:

Total number of library visits per year = average visits per resident x total population

Substituting the given values, we get:

Total number of library visits per year = 1.5 x 1.8×106

Multiplying, we get:

Total number of library visits per year = 2.7×106

Therefore, the total number of library visits per year is 2.7 million, written in standard form as 2.7×106.

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Answer:

[tex]2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25[/tex]

Thickness of 10 dollar bill is 1.1×10⁻³meters

Thickness of 1.25 × 10³ dollar bill  is 1.375×10⁻¹meters

Thickness of 137 dollar bill is1.507 ×10⁻²meters

Thickness is the measure of the distance between opposite surfaces of an object. In other words, it is the distance between two parallel planes that bound an object or material. Thickness is often used to describe the dimension of a flat or sheet-like object, such as paper, fabric, or metal, as well as the distance between the front and back surfaces of a three-dimensional object, such as a book or a wall. Thickness can be measured in units such as millimeters, inches, or micrometers.

The thickness of a one-dollar bill is 1.1 × 10⁻⁴ meters

Thickness of 10 dollar bill=10×1.1 × 10⁻⁴

=1.1×10⁻³meters

Thickness of 1.25 × 10³ dollar bill=1.25 × 10³ ×1.1 × 10⁻⁴

=1.375×10⁻¹meters

Thickness of 137 dollar bill=137 ×1.1 × 10⁻⁴

=1.507 ×10⁻²meters

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