Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 11
miles.

Answer:

x = 7.

Step-by-step explanation:

I am assuming the numbers are angles.

50 + 80 + 8x - 6 = 180

8x - 6 = 180 - 130  = 50

8x = 56

x = 7.

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer:

Tim is 8 years old.

Explanation:

8 is the cube number of 2, as 2 × 2 × 2 = 8. Additionally, 8 is double 4, which is the square number of 2, and half of 16, which is the square number of 4.

Tim who goes to school is 8 years old.

Good numerical ability describes your ability to think and conclude logical thoughts in your daily life also in your working role how you handle data in form of numbers, graphs, statements etc.

According to the given question Tim goes to school.

His age is a cube number let that number be x therefore age of Tim would be x³.

His age can also be defined as double of 1 square number which is 2x² and half of a different square of a numbers.

Let us equate x³ = 2x² and by hit and trial we get to know that x = 2 satisfies this condition.

So, Age of Tim could be 8 years,Now lets check our third statement half a different square number 16 is square of 4 so half of 16 is also 8.

Thus Tim is 8 years old.

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Answer:

90

Step-by-step explanation:

a times by b is equal to 3600 and b divided by a is equal to 4/9 which means that a must be a mulitiple of 4 and b must be a multiple of 9. An easy multiple of 4 and a easy mulitple of 9 that times together eqaul 3600 is 90 and 40. So therefore a= 90

Answer:

pretty sure its 3

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

To answer this question, we have to understand what a product is. A product is the result of multiplication. For example, the product of 5 and 5 is 25 because 5 × 5 = 25.

We can apply this concept to the given expression.

"the product of 3 and a number"

means:

3 × "a number"

And since the problem specifies that "a number" is represented by the variable x, we can replace it with that.

3 × x

This looks a bit confusing with the x-like multiplication sign, so we can remove that and make 3 a coefficient of x.

3x

Answer:

3*x

Step-by-step explanation:

We can break down the problem piece by piece. We have "the product". The product of what? The product of 3 and a number. The problem tells us to replace a number with x. So it is 3*x.

Answer:

A and D

Step-by-step explanation:

The computation shows that the difference in depth is 16 feet

From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.

Therefore the difference between the depth will be:

= -6 - (-22)

= -6 + 22

= 16

Therefore, the difference in depth is 16 feet

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Answer:

Yes

Step-by-step explanation:

Congruent means equivalent so if <6 is = to <3 then due to <3 being = to <1 <6 also has to be = to <1.

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

-3

Step-by-step explanation:

goes up 3

goes back -1

3/-1

Answer:

Dose it have the points?

Step-by-step explanation:

slope=M=y2-y1/ x2x1

The exact value of cos 105 degrees is (√3-1) / 2√2 .

What is Trigonometric Function ?

Trigonometric functions also are referred to as circular features can be really described as the capabilities of an angle of a triangle. It method that the relationship among the angles and facets of a triangle are given by using these trig capabilities. The fundamental trigonometric features are sine, cosine, tangent, cotangent, secant and cosecant.

So,

we know that ,

cos(A+B) = cosA cosB - sinA sinB

So,

cos(105) can be written as

cos(60+45 ) = cos60 cos 45  - sin60 sin45

= 1/2  *  1/√ 2  - √ 3 / 2 * 1/√2

=1/√2  *  (√3 - 1) / 2

=(√3-1) / 2√2 .

so the value of cos105 is (√3-1) / 2√2 .

Therefore , The exact value of cos 105 degrees is (√3-1) / 2√2 .

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Answer:

-6

Step-by-step explanation:

hey laudu

\(3a + b + 4\)

\(3( - 2) + ( - 4) + 4\)

\( - 6 - 4 + 4\)

\( - 6\)

Step-by-step explanation:

❀ \( \underline{ \underline{ \text{Given}}} : \)

❀ \( \underline{ \underline{ \text{To \: find}}} : \)

✏ \( \underline{ \underline{ \text{Solution}}} : \)

All you need to do is plug the value and simplify !

⟶ \( \tt{3 \times ( - 2) + ( - 4) + 4}\)

⟶ \( \tt{ - 6 + ( - 4) + 4}\)

⟶ \( \tt{ - 6 - 4 + 4}\)

⟶ \( \tt{ - 10 + 4}\)

⟶ \( \boxed{ \tt{ - 6}}\)

\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ - 6}}}}}}\)

Hope I helped ! ♪

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

its 33.333333% or 3 out of 9 or 3/9

Step-by-step explanation:

Answer:

Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.

Answer:

Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.

Step-by-step explanation:

(a) The distribution of T is Geometric Distribution and parameter is p which ranges from 0 to 1.

(b) p(x - a) - p\((1-p)^{a-1}\) where, x is probability that the xth trial is the first success \($\hat{A} \hat{A} P\) is the probability of success.

(c) Expected pay-off retains are negative, so this is an unfair game.

The probabilities of winning $1 million are \($P_1$\) and \($P_2$\) respectively.

(a) Let 'T ' be the number of times you play until winning at least one prize.

T follows Geometric Distribution, it has only parameter P which is the probability of success which ranges between 0 and 1.

(b) Its probability density function is.

p(x - a) - p\((1-p)^{a-1}\)

where, x is probability that the xth trial is the first success \($\hat{A} \hat{A} P\) is the probability of success.

Expected payoff: pw - (1 - p) x dollar

Where:-

p is the probability of success

\($\omega$\) is the lottery winning amount

\($\alpha$\) is the lottery buying cost

(c) \($P=\frac{1}{292,201,338} & =0.0000000034 \\\)

Expected payoff = \(p \times 1,000,000-(1-p) 10 \\\)

= 0.0034 - 9.999999966 \\

= -9.99659966

Expected pay-off retains are negative, so this is an unfair game.

\($p=\frac{1}{3,02,575,350} & =0.0000000033 \\\)

Expected pay-off  \(& =p \times 10000000-(1-p) 10 \\\)

= 0.0033 - 9.999999967

= -9.996699967

Winning probability \(( $P_s$ )\) are so low that expected returns are negative.

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The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Answer:

The correct answer is 9.

Step-by-step explanation:

Using the Special Factoring Formula for Perfect square:

\(u^{2} - 2uv + v^{2} = (u - v)^{2}\)

Since we have the given, \(x^{2} - 6x + __\) ___,

We must think of a factor that adds up to -6x, and must lead to a perfect square.

A way to do this is by taking the coefficient middle term, -6, dividing it by 2, and squaring it:

\((\frac{6}{2})^{2} = (3)^{2} = 9\)

Therefore, the missing constant term is 9.

To check whether it is correct, we can take \((x - 3)^{2}\), and multiply using the FOIL method. We'll have the following answer:

\((x - 3) (x - 3)\)

\(= x^{2} - 3x - 3x + 9\)

\(= x^{2} - 6x + 9\)

Therefore, we came up with the correct constant that completes the square, which is 9.  

Answer:

50 students

Step-by-step explanation:

20 + 30 = 50

Answer:

Approximately 3.4 years more or less

Step-by-step explanation:

If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:

P=185(1.16)^n

305=185(1.16)^n

1.65=1.16^n

log₁.₁₆(1.65)=log₁.₁₆(1.16^n)

3.37=n

So the deer population will reach 305 in approximately 3.4  years.

The concentration will be 0.5 mg/L at time t =39.86 hours

To determine when the concentration will be 0.5 mg/L, we need to solve the equation:

c(t) = 0.5

20t/(t²+4) = 0.5

Multiplying both sides by (t²+4), we get:

20t = 0.5(t²+4)

Simplifying, we get:

20t = 0.5t² + 2

0.5t² - 20t + 2 = 0

Solving this quadratic equation using the quadratic formula, we get:

\(2\left(10+3\sqrt{11}\right)\)

2(10+3(3.31))

2(10+9.93)

39.86

So the concentration will be 0.5 mg/L at t =39.86 hours

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The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

What is the standard position of angles?

Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.

To draw an angle in standard position with measure 8/3 π, follow these steps:

Start with the positive x-axis.

Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.

Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.

The resulting angle will have a measure of 8/3 π and will look like the following:

       |

       |

--------*-----------

       |

       |

Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

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Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Mandy's solution makes sense since it entails multiplying the total number of persons in those entire rows (142) by the number of people in each row (ten).

Similarly, multiplying the total number of people in the remaining seats (142) by the number of people in each row (2) yields the total number of people in the remaining seats. The total number of persons in the theater is calculated by adding these two components.

This is a viable use of multiplication's distributive property, in which we break down a multiplication issue into simpler products and then add them up. As a result, Mandy's approach is a viable method for determining the total number of people in the theater.

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The most appropriate choice for equation of line in slope intercept form will be given by-

\(y = -\frac{1}{2}x - 4\)  is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

The given equation of line is y = 2x-5

Slope of this line = 2

Slope of the line perpendicular to this line = \(-\frac{1}{2}\)

The line passes through (2 , -5)

Equation of the required line = \(y - (-5) = \frac{1}{2}(x - 2)\)

                                                    \(y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4\)

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Answer:

1( ×=2

2( x=5

ekekjejew

Answer:

Your answer is 78.75 oz.

Step-by-step explanation:

15.75 * 5 = 78.5 oz.

Hope this helps.

Answer:

78.75 oz

Step-by-step explanation:

okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5  (15.75 to represent what each pack weigh) ( and 5 to represent each pack)   to get the answer of 78.75 in total.

hope i helped