Question 6, please help!

The converse statement is 'If an angle is not a right angles, then it is obtuse' True. Option A

The converse of a conditional statement is formed when the hypothesis and conclusion are both reversed.

In this case, the hypothesis is taken as the conclusion and the conclusion made the hypothesis.

The conditional statement is written as: a → b

The converse is written as b → a

Where;

Given that:

Original statement :Obtuse angles are not right angles

The converse statement : If an angle is not a right angles, then it is obtuse

We can see that the converse statement is true because an obtuse angle is an angle greater than 90 degrees.

Hence, the converse statement is true

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Answer:

My as well just put random numbers and letters in it. They can't check it on edumentum. Don't bother with the tutorials. But heres the answers for all of them.

For A

Angles A, B, and C form a triangle. The sum of the angle measurements of a triangle is 180°. So, I can find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°.

For B

Angle A and angle B each measure 25°. Find the measurement of angle C by subtracting the measurements of angle A and angle B from 180°. The numerical expression for the measurement of angle C is 180° – 25° – 25°.

For C

The measurement of angle C is given by the expression 180° – 25° – 25°. So, angle C measures 130°.

For  D

Angle L and angle C are supplementary angles. The sum of supplementary angles is 180°. So, I can find the measurement of angle L by subtracting the measurement of angle C from 180°.

For E

Angle C measures 130°. Find the measure of angle L by subtracting the measurement of angle C from 180°. The numerical expression for the measure of angle L is 180° – 130°.

For F

The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.

Step-by-step explanation:

Therefore, the greatest value is -23/12. We know this because it has the smallest absolute value (i.e., it is the closest to zero) among the given expressions.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be evaluated or simplified to obtain a value or another expression. Expressions can range from simple arithmetic expressions like "2 + 3" to more complex algebraic expressions like "3x^2 + 2x - 5". They can also include functions, inequalities, and other mathematical concepts. Expressions are fundamental building blocks in mathematics and are used in many different areas, such as algebra, calculus, geometry, and statistics.

Here,

To determine which value is the greatest, we need to simplify each expression and compare them. Let's simplify each expression using the order of operations (PEMDAS):

7 5/6 - 9 3/4 = (67+5)/6 - (49+3)/4 = 47/6 - 39/4 = (94-117)/12 = -23/12

(-7 5/6) + (-9 3/4) = -(67+5)/6 - (49+3)/4 = -47/6 - 39/4 = -(94+117)/12 = -211/12

(-7 5/6) + (-9 3/4)(-7 5/6) = -(67+5)/6 - (49+3)/4*(67+5)/6 = -47/6 - 237/8 = -(3247+6237)/(68) = -2219/48

(9 3/4)(-7 5/6) ÷ (-9 3/4) = (49+3)/4(67+5)/6 ÷ -(49+3)/4 = -(6*7+5)/6 = -47/6

Now, let's compare the values:

-23/12 < -211/12 < -2219/48 < -47/6

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Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

10 yards x 3 ft per yard= 10x3=30 ft

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

C; It would become wider due to using the z-distribution

Step-by-step explanation:

Mathematically, we go on to look at the formula for confidence interval calculations here

The formula involves multiplying z by the s

which is the z-value and the standard deviation

Increasing the standard deviation value means we are increasing the product of multiplying z and s

This means that we are getting a larger value for the multiplication

Thus, we now have a wider confidence interval value as a result of a larger product

So this means that the CI would become wider due to the usage of the z-distribution

Answer:

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

Given sequence:

If t(n) = 200, we can try to find the value of n:

There is no integer solution, since 32 < 40 < 64 or 2⁵ < 40 < 2⁶, the value of n should be between 5 and 6.

The sequence should include integer numbers, so there is no solution.

Given function:

Solve for x if f(x) is 200:

Answer:

1.  No

\(\textsf{2.} \quad x=\dfrac{\ln 40}{\ln 2} \approx5.32\;(\sf 2\;d.p.)\)

Step-by-step explanation:

Given sequence:

\(t(n)=5 \cdot 2^n\)

To determine if the sequence has a term with a value of 200, substitute t(n)=200 into the equation and solve for n:

\(\implies 5 \cdot 2^n=200\)

\(\implies 2^n=40\)

\(\implies \ln 2^n=\ln 40\)

\(\implies n\ln 2=\ln 40\)

\(\implies n=\dfrac{\ln 40}{\ln 2}\)

\(\implies n=5.3219280...\)

In a sequence, n is a positive integer.  Therefore, it is not possible for the sequence to have a term with the value of 200, as when t(n)=200, n is not a positive integer.

Given function:

\(f(x)=5 \cdot 2^x\)

To determine if the function has an output of 200, substitute f(x)=200 into the function and solve for x:

\(\implies 5 \cdot 2^x=200\)

\(\implies 2^x=40\)

\(\implies \ln 2^x=\ln 40\)

\(\implies x=\dfrac{\ln 40}{\ln 2}\)

\(\implies x=5.3219280...\)

Therefore, it is possible for the function to have an output of 200 when:

\(x=\dfrac{\ln 40}{\ln 2}\)

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer:

i think 6 5/8

Step-by-step explanation:

So distribute

-2*-4+-2*1/2=7 1/2

1/4*-4+1/4*1/2=-7/8

7 4/8 - 7/8 is 6 5/8

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

(x1, y1) = (-1, 4)

(x2, y2) = (2, 7)

Step-by-step explanation:

y = x2 + 3

y = x + 5

substitute the given value of y into the equation y=x+5

x^2 + 3 = x + 5

solve the equation for x 

x = -1

x = 2

substitute the given value of x into the equation y=x+5

y = -1 + 5

x = 2

solve the equation for y 

y = 4           ---->      y = 4

y = 2 + 5     ---->      y = 7

the possible solutions of the system are the ordered pairs (x,y)

(x1, y1) = (-1, 4)

(x2, y2) = (2, 7)

check if the given ordered pairs are the solutions of the system of equations

4 = (-1)^2 + 3                             7 = 2^2 + 3

4 = -1 + 5                                   7 = 2 + 5 

simplify the equalities 

4 = 4                                          7 = 7

4 = 4                                          7 = 7

since all of the equalities are true, the ordered pairs are the solutions of the system 

(x1, y1) = (-1, 4)

(x2, y2) = (2, 7)

The solution is, (x1, y1) = (-1, 4) & (x2, y2) = (2, 7), are the Solve the following system of equations y = x2 + 3 & y = x + 5

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

y = x2 + 3

y = x + 5

substitute the given value of y into the equation y=x+5

x^2 + 3 = x + 5

solve the equation for x

x = -1

x = 2

substitute the given value of x into the equation y=x+5

y = -1 + 5

x = 2

solve the equation for y

y = 4           ---->      y = 4

y = 2 + 5     ---->      y = 7

the possible solutions of the system are the ordered pairs (x,y)

(x1, y1) = (-1, 4)

(x2, y2) = (2, 7)

check if the given ordered pairs are the solutions of the system of equations

4 = (-1)^2 + 3                             7 = 2^2 + 3

4 = -1 + 5                                   7 = 2 + 5

simplify the equalities

4 = 4                                          7 = 7

4 = 4                                          7 = 7

since all of the equalities are true, the ordered pairs are the solutions of the system

(x1, y1) = (-1, 4)

(x2, y2) = (2, 7)

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

\(x+300=500\)

To solve this, we can just do 500 - 300.

\(500-300=200\\x=200(ANSWER)\)

Hope this helps!

\(-TestedHyperr\)

Answer:

3.75 or 3 3/4

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.5/.4=3.75

Answer:

\(3 \frac{3}{4}\)

Step-by-step explanation:

\(1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}\)

\(\frac{3}{2}\) ×  \(\frac{5}{2}\)

\(\frac{3 times 5 }{2 times 2}\)

\(\frac{15}{4} = 3 \frac{3}{4}\)

Answer:iscusses the domain and range of a function, and how to find the domain ... {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} ... If you find any duplicate x-values, then the different y-values mean that you do not have a function. ... I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given

let the total amount of her test be x

we are told that she complete 1/8x  test in 2/5 of  an hour

hence she completed 1/8x in 0.4 hours

let us find the rate at which she completes are test

rate= 1/8x/0.4

convert the numerator to decimal number for easy computation

rate= 0.125x/0.4

rate=0.3125x per hour

Step two:

Hence 1 hour she can finish 0.3125x *1

=0.3125x

She can finish 31.25 % of her test in 1 hour

or 1/16 of her test

Answer:

a) 0.30567

b) 0.69433

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

,a.Find the probability that the student earned between 80 and 90 points.

For 80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x = 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x = 90) = 0.88493

The probability that the student earned between 80 and 90 points.

P(x = 90) - P(x = 80)

= 0.88493 - 0.57926

= 0.30567

b.Find the probability that the student earned either less than 80 points or more than 90 points.

For less than80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x < 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x<90) = 0.88493

P(x>90) = 1 - P(x<90) = 0.11507

The probability that the student earned either less than 80 points or more than 90 points.

= 0.57926 + 0.11507

= 0.69433

Answer:

Step-by-step explanation:

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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The main belt is not located between these all planets.

What is orbit?

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.

The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.

The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.

Hence, The main belt is not located between these all planets.

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Answer:

6

Step-by-step explanation:

the constant is the y-intercept

Problem

Solution

Part a

For this case the x intercepts are:

(-5,0) , (-1,0) and (5,0)

The only y intercept is given by: (0,-3)

Part b

For this case we can see that f(x) =-f(x) for one of the side sof the graph so then we can conclude that the graph is symmetric repect to the x axis

Part c

For this case f(-x) =-f(x) so then we can conclude that the function is odd

Part d

Intervals increasing:

Intervals decreasing:

Part e

For this case the local maximum occurs at x=-3

(-3,5)

Part f

The local minimum for this case would be at x=2:

(2,-6)

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Zelda would need to pour a total of 16/9 cans of the beef stock

From the question, we have the following parameters that can be used in our solution:

The size of the pot = \(1\frac 13\) gallons of liquid

Size of beef stock = 3/4 gallons

From the above parameter, we can calculate the number of cans he would pout

The number of cans to pour is calculated as

Amount = The size of the pot /Size of beef stock

Substitute the known values in the above equation

So, we have the following equation

Amount = \(1\frac 13\)/(3/4)

Evaluate the quotient

Amount = 16/9

Hence, the amount is 16/9

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Answer:

2x + 21

Step-by-step explanation:

Given :

Plant 1 : production level) 5x + 17

Plant 2 : production level = 3x - 4

To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1

(5x + 17) - (3x - 4)

Open the bracket

5x + 17 - 3x + 4

5x - 3x + 17 + 4

2x + 21

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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