Palema is 7 years younger than Jiri. The sum of their ages is 69. What is Jiri’s age?

Answer:

13.24 ft

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have:

Sinα=opposite/hypotenuse

α=62°

opposite=x

hypotenuse=15 ft

2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

Sinα=opposite/hypotenuse

Sin(62°)=x/15

3. You must clear "x", as below:

x=(15)(Sin(62°))

x=13.24 ft

The answer is. 13.24 ft

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

Answer:

The answer is 6x because 2x Times 3x equals 6x to the second power

Step-by-step explanation:

Answer:

area= 6x² + 3x

Step-by-step explanation:

Multiply the two sides.

Answer:

y = 5\(\sqrt{6}\)

Step-by-step explanation:

JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a\(\sqrt{3}\)-a

since the side length that sees 90 degrees is 10 then x = 5

according to Euclidian theorem :

y^2 = LK*KI (LK = 15 -x, KI = 15)

y^2 = 10*15

y^2 = 150 find the root for both sides

y = 5\(\sqrt{6}\)

Answer:

We can see the two triangles ABC and EDC are similar and their sides are proportional.

4 to 8, 6 to 12, 5 to 10

You could say,

1. ABC ~ EDC -- SSS criterion

2. ∠A = ∠E -- CPCTC

3. AB || ED -- Alternate Interior Angles Converse

Answer:

he will make $4800 for that month

Step-by-step explanation:

the orginal price is really "x", which oddly enough is the 100%, but we also know that 260 is 35% off that, so 260 is really 100% - 35% = 65% of the original price, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 260& 65 \end{array} \implies \cfrac{x}{260}~~=~~\cfrac{100}{65} \\\\\\ \cfrac{ x }{ 260 } ~~=~~ \cfrac{ 20 }{ 13 }\implies 13x=5200\implies x=\cfrac{5200}{13}\implies x=400\)

Answer:

141/2, 279/4

Step-by-step explanation:

Answer: wow ur right like ummm

Step-by-step explanation: wby lol

Answer:

1. NP

2. P

3. P

4. NP

Step-by-step explanation:

if this helped, Mark as brainliest, thank you

Answer:

Not polynomial for the first one.

second is polynomial.

third is polynomial.

and fourth is not polynomial.

Step-by-step explanation:

oh wait- yeah the other person is right too LOL

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

The slope-intercept form of the linear equation is y = m x + b, where

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

Answer:

The plane have traveled 1512.9 m from the time took off

Step-by-step explanation:

Acceleration \(a = 20m/s^2\)

Initial speed = u = 0

Final speed = v = 246 m/s

Time = t = 93

We are supposed to find how far would the plane have traveled from the time took off

We will use equation of motion

\(v^2=u^2+2as\\(246)^2=2\times 20 \times s\\\frac{(246)^2}{2 \times 20}=s\\1512.9 m=s\)

Hence The plane have traveled 1512.9 m from the time took off

The central limit theorem (CLT) could be a principal concept in insights that states that, beneath certain conditions, the test cruel of a huge number of autonomous and indistinguishably disseminated (i.i.d.) arbitrary factors will be roughly regularly conveyed, in any case of the fundamental dissemination of the factors. Particularly, the CLT states that:

The test cruel of a huge number of i.i.d. irregular factors will be roughly ordinarily conveyed, in any case of the fundamental dispersion of the factors.

The cruelty of the test implies will break even with the populace cruel.

The standard deviation of the test implies (moreover known as the standard mistake) will rise to the populace standard deviation isolated by the square root of the test measure.

In other words, the central restrain hypothesis states that the dispersion of the test implies will be roughly typical, with a cruel break even with to the populace cruel and a standard deviation (standard blunder) that diminishes as the test estimate increments.

To learn about standard deviation visit:

https://brainly.com/question/13498201

#SPJ4

Answer:

Greater than symbol.

2/3 > 2/4

Step-by-step explanation:

We have two fractions, 2/3 and 2/4

We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).

Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.

2/3 and 2/4

With 2/3 being greater than 2/4.

2/3 = 0.67

2/4 = 0.50

Succinctly, 2/3 > 2/4.

Given that 22+2 de 23+3.2-92-27We begin by factoring the denominator of the rational function: 23+32-92-27-(2-a)(0-1) for ab.

We can write the given function as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27)To find the values of A, B, and C, we need to take the common denominator which is (x - 2)(x + 3)(x - 9)(x + 27)A

= 2(x + 3)(x - 9)(x + 27) + 2(x - 2)(x - 9)(x + 27)

= 50x³ + 5350x² + 41325x + 52590B

= 3(x - 2)(x - 9)(x + 27) - 9(x + 3)(x - 2)(x + 27)

= - 44x³ - 2919x² - 405x - 972C

= (x - 2)(x + 3)(x - 9) + 3(x - 2)(x + 27) - 9(x - 9)(x + 27)

= - 6x³ - 27x² + 1107x + 972.

The partial fraction decomposition is given as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27) = (25/35)/(x - 2) + (-11/6)/(x + 3) + (11/38)/(x - 9) + (- 1/2)/(x + 27) Now, we can integrate it as follows: ∫(25/35)/(x - 2)dx + ∫(-11/6)/(x + 3)dx + ∫(11/38)/(x - 9)dx + ∫(-1/2)/(x + 27)dx= 25/35 ln│x - 2│ - 11/6 ln│x + 3│ + 11/38 ln│x - 9│ - 1/2 ln│x + 27│ + c

To know more about factoring visit:

https://brainly.com/question/14549998

#SPJ11

Answer:

1. In mathematics, a variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Eg: x, y, etc...

2. incomplete question

Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.

To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:

Discount Factor = 1 / (1 + Rate of Return)

Substituting the rate of return of 6 percent (0.06) into the formula:

Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434

To know more about discount,

https://brainly.com/question/28506717

#SPJ11

A important goal of inferential statistical analysis is to generalize results from the study to the target population (option c).

An important goal of inferential statistical analysis is to generalize the findings and results obtained from a study or sample to the larger target population. Inferential statistics involves making inferences, drawing conclusions, and making predictions about a population based on the analysis of a sample.

When conducting a study, it is often impractical or impossible to collect data from the entire population of interest. Instead, a sample is typically selected and studied. Inferential statistics helps researchers make inferences about the population based on the sample data.

By analyzing the sample data using inferential statistical techniques, researchers can estimate population parameters, test hypotheses, determine the significance of findings, and make predictions about the larger population. This allows for generalization of the findings and helps in making informed decisions and drawing conclusions that extend beyond the specific sample studied.

Options A, B, and D are also important goals in statistical analysis, but they are not specific to inferential statistics. Analyzing and describing data (option A) is a goal of descriptive statistics. Determining the validity of theoretical constructs (option B) and measuring the reliability and validity of measurement tools (option D) are goals related to assessing the quality and soundness of research instruments and constructs, but they do not specifically address the goal of generalizing results to a larger population. The correct option is c.

The complete question is:

An important goal of inferential statistical analysis is to:

A. analyze and describe data collected during a study.

B. determine whether theoretical constructs are valid.

C. generalize results from the study to the target population

D. measure the reliability and validity of measurement tools

To know more about statistical analysis:

https://brainly.com/question/11969248

#SPJ4

Answer:

199.7

Step-by-step explanation:

as 7 is in the position of 0.7

Answer:

A) 199.7.

Step-by-step explanation:

0.7 or 7 tenths.

The first position after the decimal point is the tenths digit.

If  a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered

If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.

However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.

Therefore, the correct option is (d) They would become endangered

Learn more about hummingbird here

brainly.com/question/17536527

#SPJ4

The probability of finding a z-score of 1.54 or lower on the normal distribution is given as follows:

P(z ≤ 1.54) = 0.9382.

The z-score of this problem is given as follows:

z = 1.54.

Each z-score has a p-value, which represents the percentile of the z-score.

Hence the probability of finding a z-score of 1.54 or lower on the normal distribution is the p-value of z = 1.54, which is of 0.9382.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The required radius of the water bottle is approximately 2.88 cm.

To find the radius of the cylindrical water bottle, we can use the formula for the volume of a cylinder:

Volume = π * radius² * height

Given that the volume of the bottle is 207 cm³ and the height is 7.9 cm, we can rearrange the formula to solve for the radius:

207 = 3.14 * radius² * 7.9

Dividing both sides of the equation by (3.14 * 7.9), we get:

radius² = 207 / (3.14 * 7.9)

radius² = 8.308

radius = √(8.308)

radius ≈ 2.88 cm (rounded to two decimal places)

Therefore, the radius of the water bottle is approximately 2.88 cm.

Learn more about the volume of the cylinder here:

https://brainly.com/question/15891031

#SPJ1

Answer:

5

-

5

Step-by-step explanation:

Mhm- thats kinda all

Answer:

y = 2x + 2

Hope you have a great day!

Answer:

31 degrees

Step-by-step explanation:

the side with the length of 29 can be seen as the radius of a circle.

and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.

15 = sin(?)×29

sin(?) = 15/29 = 0.5172...

? = 31.14... degrees ≈ 31 degrees

The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

Learn more about the transformation here:

https://brainly.com/question/28772799

#SPJ1

Answer:

Hello! your answer should be 2 :)

Step-by-step explanation:

the simpliest way to look at multipicaton is just complex addition, so, for example, 10x3 is the same as 10+10+10. so for your question, we'll just add 6 to itself until we get to twelve! 6x1=6, 6x2=12, nice and simple, there's your answer! :)

She need to multiply by 2 next.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

Alex wants to multiply the number with 12.

She multiples by 6 first.

So, we need to focus on that what can be multiply by 6 to get 12 or what will be the quotient dividing 12 by 6.

Both of the above will tell us what will be next number.

So,

6*2=12

or, 12/6=2

In both situation we get 2.

Hence, she need to multiply by 2 next.

Learn more about number system here:

https://brainly.com/question/21751836

#SPJ2

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The correct quadratic polynomial is -8.8473x² + 1.4118x + 7.5, and the correct result of the multiplication is x³ - 3x² - 24x + 30. The connection between the remainder of the division and your friend's error is that the error in determining the constant term led to a non-zero remainder.

To find the quadratic polynomial that your friend used, we need to consider the constant term in the result x³-3x²-24x+30.

The constant term of the result should be the product of the constant terms from multiplying (x+4) by the quadratic polynomial. In this case, the constant term is 30.

Let's denote the quadratic polynomial as ax²+bx+c. We need to find the values of a, b, and c.

To find c, we divide the constant term (30) by 4 (the constant term of (x+4)). Therefore, c = 30/4 = 7.5.

So, the quadratic polynomial used by your friend is ax²+bx+7.5.

Now, let's determine the correct result of the multiplication.

We multiply (x+4) by ax²+bx+7.5, which gives us:

(x+4)(ax²+bx+7.5) = ax³ + (a+4b)x² + (4a+7.5b)x + 30

Comparing this with the given correct result x³-3x²-24x+30, we can conclude:

a = 1 (coefficient of x³)

a + 4b = -3 (coefficient of x²)

4a + 7.5b = -24 (coefficient of x)

Using these equations, we can solve for a and b:

From a + 4b = -3, we get a = -3 - 4b.

Substituting this into 4a + 7.5b = -24, we have -12 - 16b + 7.5b = -24.

Simplifying, we find -8.5b = -12.

Dividing both sides by -8.5, we get b = 12/8.5 = 1.4118 (approximately).

Substituting this value of b into a = -3 - 4b, we get a = -3 - 4(1.4118) = -8.8473 (approximately).

Therefore, the correct quadratic polynomial is -8.8473x² + 1.4118x + 7.5, and the correct result of the multiplication is    x³ - 3x² - 24x + 30.

Now, let's discuss the connection between the remainder of the division and your friend's error.

When two polynomials are divided, the remainder represents what is left after the division process is completed. In this case, your friend's error in determining the constant term led to a remainder of 30. This means that the division was not completely accurate, as there was still a residual term of 30 remaining.

If your friend had correctly determined the constant term, the remainder of the division would have been zero. This would indicate that the multiplication was carried out correctly and that there were no leftover terms.

In summary, the connection between the remainder of the division and your friend's error is that the error in determining the constant term led to a non-zero remainder. Had the correct constant term been used, the remainder would have been zero, indicating a correct multiplication.

To know more about quadratic polynomial visit:

https://brainly.com/question/17489661

#SPJ11