solve the inequality -1/3h_<7

Answer:

I think it might be B

Step-by-step explanation:

So you have 5x is 5 times a number and then +3 then you have the =19

So it might be B

Answer:

Step-by-step explanation:

Its 4.51

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

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An angle is  a geometric figure formed by two rays or line segments that share  a common endpoint, called the vertex. Angles are measured in degrees or radians and are typically denoted by  symbol ∠ followed by the name of the vertex, like ∠ABC.

The size of angle is determined by  amount of rotation needed to bring one of  rays or line segments into coincidence with others.

Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), or reflex (greater than 180 degrees).

Angles are fundamental to geometry and have many applications in physics, engineering, and other fields.

This is because the sum of the angles in a triangle must always be 180°, and 40° + 60° + 80° = 180°.

However, the angles do not satisfy the conditions of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, It is not possible to construct a triangle with angle measures of 40°, 60°, and 80°.

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Answer:<B=96

<8+<D=180

<8+84=180

<8=180-84

<8=96

Step-by-step explanation:

hope it helps have a  nice day!!

Answer:

x=33

Step-by-step explanation:

If you didn't know all of the angles in a triangle add up to equal 180

We are given to angles, 90 (the square indicates that its a right angle which is equal to 90) and 57

So to find the missing anlge we subtract the given angles from 180

180-90=90

90-57=33

therefore x=33

a. The probability to get a sample average of 33 or more customers if the manager had not offered the discount is  0.0139.

b. Yes, there is only a small chance (less than 5%) of getting 33 or more customers without the discount if you want to know about confident feel that manager's discount strategy has worked.

a. To find the probability of getting a sample average of 33 or more customers without the discount, we need to find the z-score corresponding to this value. We can use the formula:

z = (x - μ) / (σ/√n)

where x is the sample average (33), μ is the population mean (25), σ is the population standard deviation (10), and n is the sample size (5). Plugging in the values, we get:

z = (33 - 25) / (10 / √5) = 2.236

Using a standard normal table, the probability of getting a z-score of 2.236 or higher is 0.0139. So, the probability of getting a sample average of 33 or more customers without the discount is 0.0139.

b. Based on the probability we found in part a, we can conclude that it is very unlikely (less than 1.5%) to get a sample average of 33 or more customers without the discount.

Therefore, we can say that there is only a small chance (less than 5%) of getting 33 or more customers without the discount, and it is likely that the manager's discount strategy has worked. So, the answer is "Yes, there is only a small chance (less than 5%) of getting 33 or more customers without the discount".

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Answer:

The correct option is C) 12.00%.

Step-by-step explanation:

This can be calculated using the formula for calculating the effective annual rate (EAR) as follows:

EAR = ((1 + (i / n))^n) - 1 .............................(1)

Where;

EAR = effective annual rate =  12.682%, or 0.12682

i = annual percentage rate (APR) = ?

n = Number of compounding periods or months = 12

Substituting the values into equation (1) and solve for i, we have:

0.12682 = ((1 + (i / 12))^12) - 1

0.12682 + 1 = (1 + (i / 12))^12

1.12682 = (1 + (i / 12))^12

(1.12682)^(1/12) = (1 + (i / 12))^(12/12)

1.12682^0.0833333333333333 = 1 + (i / 12)

1.00999962428035 - 1 = i / 12

0.00999962428035 = i / 12

i = 0.00999962428035 * 12

i = 0.119995491364199, or 11.9995491364199%

Approximating to 2 decimal places, we have:

i = 12.00%

Therefore, the correct option is C) 12.00%.

The table that represents a linear equation is the first one, and the line can be:

y = -4x - 1

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, notice that if we evaluate the line in x + 1, we will get:

y = a*(x + 1) + b

y = a*x + a + b

So, for an increase of one unit on the variable x, we have a constant increase in the y value.

Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.

So that is the table that can represent a linear function.

And the line is:

y = -4x - 1

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Answer:

190

Step-by-step explanation:

If 38 is 20% then half of 38, 19, is 10%. With that you can divide 19 by 10 and get 1.9. If you take 1.9 and multiply it by 100 you get 190

Answer:

Correct option is B)

n(AUB)=n(A)+n(B)−n(A∩B)

     =75+45−35

=85

number of students owing car or stereos=85

number of students neither car nor stereo =100−85=15

The number of students who do not own either a car or an iPod is 25.

Union of two given sets is the smallest set which contains all the elements of both the sets.

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets

The union of two sets is given by

n(A∪B) = n(A) + n(B) -n(A∩B)

Where,

A and B are the two sets.

∪ is the union

∩ is the intersection.

According to the given question.

Total number of students in a college = 100

Total number of students who own iPods, n(A) = 55

Total number of students who own cars, n(B) = 25

Number of students who own both cars and iPods, n(A∩B) = 5

Therefore,

The number of students who own cars or iPods is given by

n(A∪B) = n(A) + n(B) - n(A∩B)

⇒n(A∩B) = 55 + 25 - 5

⇒ n(A∪B) = 75

So, the number of students who do not own either a car or an iPod

= 100 - 75

= 25

Hence, the number of students who do not own either a car or an iPod is 25.

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Answer: A) 51%

Step-by-step explanation:

We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.

38 rounds up to 40 and 79 rounds up to 80.

Now it is easier to divide.

40/80=1/2

1/2=50%

The closest answer to 50% is 51% which must be the answer.

Answer:

A)

Step-by-step explanation:

Answer:2x34=344343

Step-by-step explanation:32323=23=232

Answer:

67

Step-by-step explanation:

All you need to know for these problems is that triangles (shapes with 3 sides) have degrees that add to 180

which means that

38+75+x=180

solve for x

113+x=180

x=67

The solution to the given quadratic equation is: x = -2/3 or x = 3

The general form of writing a quadratic equation is:

y = ax² + bx + c

The formula to solve a quadratic equation is:

x = [-b ± √(b² - 4ac)]/2a

The given quadratic equation is:

j(x) = -3x² + 7x + 6

Thus:

x = -7 ± √(7² - 4*-3*6)]/2(-3)

From the attached graph, we see that the solution to the given quadratic equation is: x = -2/3 or x = 3

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

pls mark me as brainliest

Step-by-step explanation:

Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

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

In a normal distribution with mean  and standard deviation , the z-score of a measure X is given by:

The z-score measures how many standard deviations the measure X is from the mean, above or below.  

X∼N(6.5,1.5), which means that .

The measure is

The z-score is:

The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

Equation

Ok

Maybe, we can change f(x) for y.

In x = 0.4t

or In (x) = 0.4t

Solve for t

t = In(x) / 0.4

Changing t for G(t)

g(t) = In(x) / 0.4 This is the result

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

Answer:

9:8 and 9 to 8

Step-by-step explanation:

The only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

What is a valid triangle?

A valid triangle is a three-sided polygon that satisfies the following conditions:

The sum of the lengths of any two sides of the triangle is greater than the length of the third side.

The lengths of all three sides of the triangle are greater than zero.

Adam should use the dimensions 40 in., 44 in., 58 in. for a triangular frame to form a right triangle.

To determine if a right triangle can be formed, we need to check if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

Let's check each set of dimensions:

For 25 in., 60 in., 65 in.:

25^2 + 60^2 = 625 + 3600 = 4225

65^2 = 4225

The Pythagorean theorem is satisfied, so a right triangle can be formed. However, this triangle is not a valid option for Adam because the lengths are too short for building walls.

For 40 in., 44 in., 58 in.:

40^2 + 44^2 = 1600 + 1936 = 3536

58^2 = 3364

The Pythagorean theorem is not satisfied, so a right triangle cannot be formed using these dimensions.

For 50 in., 110 in., 130 in.:

50^2 + 110^2 = 2500 + 12100 = 14600

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

For 130 in., 50 in., 60 in.:

50^2 + 60^2 = 2500 + 3600 = 6100

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

Out of the options given, only the dimensions 50 in., 110 in., 130 in. and 130 in., 50 in., 60 in. satisfy the Pythagorean theorem, but both are too large for building walls.

Therefore, the only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

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Answer:

3 11/12

Step-by-step explanation:

Answer:

Different ways to answer

Step-by-step explanation:

mixed number: 3 11/12

decimal: 3.916 repeating

imporper fraction: 47/12

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The Venn diagram based on the information is attached.

It should be noted that a Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things

For two sets X and Y, X∩Y is the set containing all the elements that are both in X and Y.

X∪Y is the set containing all the elements that are either in X or Y or both.

So, B∩C={c,g}

A∪(B∩C)={a,b,c,e,f,g}

The Venn diagram is below in which the shaded region represents A∪(B∩C),

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Let A={a,b,c,e,f},B={c,d,e,g} and C={b,c,f,g} be subsets of the set

U={a,b,c,d,e,f,g,h}.

Draw Venn diagrams to represent the following sets :

A∪(B∩C)

The length of the rectangle is \(x^{4}\)- 7 units.

We know that,

                  Area of a rectangle = length* width

           So,                       Length = Area/width

According to the question,

                                    Area = \(7x^{5} - 49x\)

                                   Width = \(7x\)

             Length of the given rectangle = Area/width

                                                                = \(\frac{7x^{5}- 49x}{7x}\)

                                                                = \(\frac{7x(x^{4}- 7)}{7x}\)

                                                                = \(x^{4} - 7\)

Hence, the length of the rectangle is \(x^{4} - 7\) units.

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The complete question is:

A rectangle has an area of \(7x^{5}- 49x\). Its width is 7x units. What is its length?

Answer:

c 57

Step-by-step explanation: