Ariadne jogs at an average speed of 8 km/h. How far does she travel in 1½ hours?

Answer:

n=-3n+5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I can only answer this if the second term is -1

a = 2

d = -3

t_n = a + (n - 1)*-3

t_n = 2 + -3n + 3

t_n = 5 - 3n      or

t_n = - 3n + 5

That's D

Therefore , the solution of the given problem of standard deviation comes out to be the group standard deviation in order to use (b) z.

Statistics uses variance as a way to quantify difference. The image of the result is used to compute the average deviation between the collected data and the mean. Contrary to many other valid measures of variability, it includes those pieces of data on their own by comparing each number to the mean. Variations may be caused by willful mistakes, irrational expectations, or shifting economic or business conditions.

Here,

We use the z-distribution if the total standard deviation is known; otherwise, we use the t-distribution.

Additionally, for small sample sizes, the t-distribution is used, whereas for big sample sizes, the z-distribution is used.

The fact that z requires that you know the population standard deviation, and that this is frequently not known in practice, is one reason to use a distribution rather than the traditional .

Normal curve to find critical values when computing a level C confidence interval for a population mean.

You must be aware of the group standard deviation in order to use (b) z.

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Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

Step-by-step explanation:

D is correct

Answer: D

Step-by-step explanation:

Answer:

3.5 hours

Step-by-step explanation:

use this linear equation

y = 45x + 55     y is the amount earned and x is the hours worked

plug in 212.50 for y then solve for x

212.50 = 45x + 55

157.5 = 45x

3.5 = x

so he worked for 3.5 hours or 3 hours and 30 minutes

hope this helps <3

Answer:

Box A: 6 feet

Box B: 16 feet

Box C: 12 feet

Step-by-step explanation:

Answer:

vertex point is (4,-6)

and it opens upwards as the coefficient of x is positive.

I assume B is the correct answer, good luck!

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

-2

Step-by-step explanation:

Plug in the values of 'x' and 'y':

\(\frac{2+-4}{3-2} =\frac{2-4}{1} =\frac{-2}{1} =-2\)

Answer: So, the value of the expression 2+x/3-y when x=-4 and y=2 is -4/3.

Step-by-step explanation: To evaluate the expression 2+x/3-y for x=-4 and y=2, we can substitute the values of x and y into the expression. This gives us:

2 + (-4)/3 - 2

Solving this expression following the order of operations, we first solve the division:

2 + (-4/3) - 2

Then we solve the addition and subtraction from left to right:

= 2 - 4/3 - 2

= (6/3) - (4/3) - (6/3)

= -4/3

So, the value of the expression 2+x/3-y when x=-4 and y=2 is -4/3.

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

a)The term 1-16t²represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple

b)Interpreting the domain, we can say that h(t) makes sense only for non-negative values of t. In other words, we can use the function h(t)to find the height of the apple at any time t a

what is gravity ?

Gravity is a fundamental force of nature that causes objects with mass to attract each other. It is the force that keeps planets in orbit around stars, and stars in orbit around the center of their galaxies.

In the given question,

a. The function h(t)=-16t²+36 represents the height of an apple above the ground at time t after falling off a tree. The term1 -16t² represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple when it fell off the tree.

b. The domain of h(t) in this situation is the set of all possible values of t that make sense in the context of the problem. Since h(t) represents the height of the apple at time t after it fell off the tree, the domain of h(t)is the set of all non-negative real numbers, or [0,\infty) This is because time cannot be negative, and the apple cannot fall for an infinite amount of time.

Interpreting the domain, we can say that h(t)makes sense only for non-negative values of t. In other words, we can use the function h(t) to find the height of the apple at any time t after it fell off the tree, as long as t is non-negative..

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The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

2 1/3 as an improper fraction is 7/3

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

\(2\frac{1}{3}=\frac{(2*3)+1}{3}\\\\\\ =\frac{6+1}{3}\\\\=\frac{7}{3}\)

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

Mrs. Adams commutes 17 miles each way to work, so she travels a total of 17 * 2 = <<172=34>>34 miles per day.

Since the Honda Element gets 23 miles per gallon on the highway, it uses 34 / 23 = 1.48 gallons of gas per day.

At a gas price of $3.00 per gallon, the Honda Element costs 1.48 * 3 = $<<1.483=4.44>>4.44 in gas per day.

The Toyota Prius gets 41 miles per gallon on the highway, so it uses 34 / 41 = 0.83 gallons of gas per day.

At a gas price of $3.00 per gallon, the Toyota Prius costs 0.83 * 3 = $<<0.83*3=2.49>>2.49 in gas per day.

The Toyota Prius costs $2.49 in gas per day, while the Honda Element costs $4.44 in gas per day.

The difference in gas cost between the two vehicles is $4.44 - $2.49 = $1.95 per day.

To pay for itself in gas savings, the Toyota Prius needs to save $6,500 / $1.95 = 3345.38 days of gas.

At a rate of 365 days per year, this is approximately 3345.38 / 365 = <<3345.38/365=9.14>>9.14 years.

Therefore, it will take approximately 9.14 years for the Toyota Prius to pay for itself in gas savings.

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer: C its C

Step-by-step explanation:

GOT DANG JUST READ THE ANSWER ITS CCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

We have the following functions:

We need to find g(8) + f(-3). The expression g(8) is equivalent to replace 8 in the place of x, that is,

Similarly, f(-3) is given by

which gives

Therefore, g(8)+f(-3) is given by

so the answer is 25

Answer:

It should be A or B

Hope this helps!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is the only one decreasing in bugs with more pesticide

Answer:

\((x,y) =(-4,-3)\) --- Vertex

\(x = -4\) --- Axis of symmetry

Step-by-step explanation:

Given

\(y = -6(x + 4)^2 - 3\)

Solving (a): The vertex

For an equation written in

\(y = a(x - h)^2 + k\)

The vertex is:

\((x,y) = (h,k)\)

By comparison:

\(y = a(x - h)^2 + k\)  and \(y = -6(x + 4)^2 - 3\)

\(-h =4\)       \(k = -3\)

\(h =-4\)         \(k = -3\)  

So, the vertex is:

\((x,y) =(-4,-3)\)

Solving (b): The axis of symmetry

For an equation written in

\(y = a(x - h)^2 + k\)

The axis of symmetry is:

x = h

In (a):

\(h =-4\)

So:

\(x = -4\)

The Simple Interest on Principal amount: $1,000 is $100.

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied.

Given:

Principal amount: $1,000

Interest rate: 10%

Time: 12 months

So, the Simple Interest

= P x R x T/100

= 1000 x 10 x 1 / 100

= 10000/100

= $100

and, Amount = P + I

Amount = $1100

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Answer:

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

Use the given expression z/16, substitute z with 40 and calculate: