write the number as tenths in fraction form and decimal form

9514 1404 393

Answer:

  \(f^{-1}(x)=\pm\sqrt{x-10}\)

Step-by-step explanation:

You can find the inverse of

  y = f(x)

by solving for y:

  x = f(y)

__

  x = y² +10

  x -10 = y² . . . . . . . . subtract 10

  ±√(x -10) = y . . . . . take the square root

The inverse relation is ...

  \(\boxed{f^{-1}(x)=\pm\sqrt{x-10}}\)

__

It is not a function unless some restriction is placed on the domain of f(x).

The solution to the equation is x = 2 7/18

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

3x + 2/3 =7 5/6

Solve the equation by first subtracting 2/3 from each side

So, we have

3x = 7 1/6

Divide both sides of the equation by 3

This gives

x = 2 7/18

Hence, the solution is 2 7/18

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Answer:

angle T = 114

Step-by-step explanation:

SRT = STR

angle R = angle T

angle R = 33°

so angle R and angle T = 33°

all angles on a triangle = 180°

so

angle R + angle S + angle T = 180°

and angle R and S = 33° so subtitute...

33 + 33 + T = 180

then solve:

66 + T = 180

-66         -66

T = 114

mathy way:

SRT = STR                 Given

SRT = 33                   Given

33 = STR                   Substitution Property of Equality

STR = 33                  

R + S + T = 180°        Deffinition of triangle

33 + 33 + T = 180     Substitution Property of Equality

66 + T = 180             Addition

T = 114                       Subtraction Property of Equality

Answer:

\( {7}^{2} \)

\(7\)

equations

Answer:

x=35 y=18

Step-by-step explanation:

We have two triangles. These triangles are Similar as stated in the statement. Since they are similar, there side length will be in proportion.

To find x and y we need to set up a proportion of the corresponding sides of the triangles.

Let find the corresponding sides of both triangle.

JK corresponds with NM

KL corresponds with ML

JL corresponds with NL

To find side x we can use this proportion

JK/KL=NM/ML

Plug in the lengths

\( \frac{40}{kl} = \frac{16}{14} \)

Cross multiply

\(560 = 16kl\)

Divide by 16

\(kl = 35\)

so x=35

Now to find y use this proportion

JL/JK=LN/NM

\( \frac{45}{40} = \frac{y}{16} \)

Cross multiply

\(720 = 40y\)

\(y = 18\)

Answer:

X = 35

Y = 18

Step-by-step explanation:

The triangles are similar meaning that they are scaled up and down differently. ( and in this case rotated) Notice the shape of the triangles. The side measuring 40 in the larger triangle correlates to the side measuring 16 in the smaller triangle. We can use this to find the scale difference between the two triangles. 40/16 = 2.5. The larger triangle is scaled up 2.5 times the smaller triangle. X correlates to the side measuring 14. Scale 14 up 2.5 times. 14* 2.5 = 35, so x= 35.

Y correlates to the side measuring 45. Scale 45 down 2.5 times. 45/2.5 = 18. Y = 18

Answer:

b and e I think not sure :) :) :)

Answer:

First side, a = 8 ft.

Second side = 12 ft.

Third side, c = 18 ft.

Step-by-step explanation:

Let the sides of the triangle be a, b and c respectively.

Given the following data;

Perimeter = 38ft

First side, a = b - 4

Third side, c = b + 4

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = a + b + c

Substituting into the equation, we have;

38 = (b - 4) + b + (b + 6)

38 = 3b + 2

3b = 38 - 2

3b = 36

b = 36/3

b = 12ft

To find the first side, a;

a = b - 4

a = 12 - 4

a = 8ft.

To find the third side, c

c = b + 6

c = 12 + 6

c = 18 ft.

Answer:

6x+5x=407

11x=407

x=37

boys

Step-by-step explanation:

Answer:

20

21.75

27.85

29.5

Step-by-step explanation:

Arranging the values in ascending order we get

16 21 24 24 27 28 30 35

n = Number of values = 8

Rank is given by

\(\dfrac{\text{Percentile}}{100}\times (n+1)\)

\(=\dfrac{20}{100}(8+1)=1.8\)

Taking the fraction of the rank i.e., 0.8 and work out the weighted mean

\(0.8\times (21-16)+16=20\)

The 20th percentile is 20

\(\dfrac{25}{100}(8+1)=2.25\)

\(0.25(24-21)+21=21.75\)

The 25th percentile is 21.75

\(\dfrac{65}{100}(8+1)=5.85\)

\(0.85(28-27)+27=27.85\)

The 65th percentile is 27.85

\(\dfrac{75}{100}(8+1)=6.75\)

\(0.75(30-28)+28=29.5\)

The 75th percentile is 29.5

Answer:

The value of "x" is 34 and the value of "y" is 17.

Step-by-step explanation:

"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.

Answer:

The surface area is \(325.4m^2\)

The lateral surface area is: \(292.4m^2\)

Step-by-step explanation:

Given

\(L = 3m\) -- Length

\(H =17.2m\) --- Height

\(W = 5.5m\) --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

\(S.A = 2 * (LW + WH + LH)\)

This gives:

\(S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)\)

\(S.A = 2 * (51.6 + 94.6 + 16.5)\)

\(S.A = 2 * 162.7\)

\(S.A = 325.4m^2\)

Solving (b): The lateral surface area

This is calculated as:

\(L = 2 * (L + W) * H\)

So, we have:

\(L = 2 * (3 +5.5) * 17.2\)

\(L = 2 * 8.5 * 17.2\)

\(L = 292.4m^2\)

Answer:

8 16 and 24 these numbers are factors of 8. Sorry if this is incorrect.

Hope this helps, have a great day, stay safe and have a great weekend!

Also Happy Halloween.

Answer:

these are multiples of 8 (multiples are the product of 2 numbers)

Step-by-step explanation:

in this case 8*1=8

8*2=16

and 8*3=24

multiplying 8 by another number creates these numbers

Answer:

you welcome bih

Step-by-step explanation:

Answer:

Congrats

Step-by-step explanation:

I'm glad its helping.

To find:

what percent of 48 is 42.

Solution:

The percent value of 42 to 48 can be obtained as follows:

Change the improper fraction to mixed fraction:

Thus, the answer is 700/8 or 87 1/2.

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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Answer: (D) asymptotically stable and semi-stable

Step-by-step explanation:

Given that:

dy/dx=(−(y−4)2)(y+9)

The critical points are y=4 and y=−9

We have to check the sign of dy/dx in the intervals (-inf,-9), (-9,4), (4, infinity)

In (-inf, -9), dy/dx , let's take y = -10, so we have  

(-(-10-4)^2(-10+9) > 0

In (-9,4), let's take y = 0

dy/dx = (-(0-4)^2)(0+9) < 0  

In (4, inf), let's take y = 10

So we have (-(10-4^)2(10+9) < 0

So at y = -9, sign change for dy/dx from positive to negative. SO it is asymptotically stable

And at y = 4, sign is negative on both sides. So 4 is semi stable

Answer: A

Step-by-step explanation:

A is false. Not all reals numbers are rational numbers. Some real numbers can contain irrational numbers, like \(\sqrt{2}\). This is a real number, but isn't rational since it cannot be represented as a ratio.

Answer: A. All real numbers are rational numbers.

Step-by-step explanation:

[✗] A. All real numbers are rational numbers.

➜ False! Real numbers include numbers such as π or \(\sqrt{2}\), which are not rational numbers.

[✓] B. Every integer is a rational number.

➜ True! Rational numbers include all integers.

[✓] C. All natural numbers are integers.

➜ Also true! Integers include all natural numbers.

[✓] D. Every whole number is a real number.

➜ Yes, real numbers include whole numbers. This is true!

The visual attached is by https://byjus.com/

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

Step-by-step explanation:

(24cm + 14cm + 25cm) 10 + 2 × 14

hope this help pls mark me Branliest

Answer:i think its the second one

Step-by-step explanation:

The number of ways that the student can choose the question to answer is; 30 ways

We are given that;

Number of questions in Section A = 5 questions

Number of questions in section B = 3 questions

Number of questions to be answered from section A = 3 questions

Number of questions to be answered from section B = 2 questions

The formula for probability combination is;

nCr = n!/(r!(n - r)!)

Number of ways of answering from section A = ⁵C₂

Number of ways of answering from section B = ³C₂

Thus, the number of ways that the student can choose the question to answer from the 8 questions in total is;

⁵C₂ * ³C₂

= 5!/(2!(5 - 2)!) * 3!/(2!(3 - 2)!)

= 10 * 3

= 30 ways

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To estimate the area under the curve over the interval [ 0 , 4 ] we use the integral from 0 to 4 .

Given :

use a right-hand rectangular approximate to estimate the area under the curve over the interval [0, 4].

The area under a curve between two points is found out by doing a definite integral between the two points.

To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.

\(=\int\limits^4_0 {f(x)} \, dx\)

so here with function we can calculate the area under the curve .

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Answer:

Step-by-step explanation:

First you need to find the slope. Y1 - y2/m1-m2.

7--5=12 .....3--1=4

So 12/4=3 Your slope is 3.

Next the equation is y=mx+b.

Y= 3x+b. Then fill in y-coordinate and sole.

Use one from ordered pair. So 7 or -5 can be used.

Using 7

Y=3x+7 is your answer/equation.

Ss, variance and the standard deviation for the population of scores is 2.83 and 8 respectively

What is standard deviation and variance?

Standard deviation is a measure of the distribution of statistical data, whereas variance is a measure of how data points differ from the mean. The fundamental distinction between the two is that although the variance is expressed in squared units, the standard deviation is expressed in the same units as the data's mean.

Given,

SS = 40

Variance = 10

Standard Deviation = 3.16

Using Population Variance Formula :

= \(\frac{1}{n}\)∑( x-xbar)²  where i is 1

For the complete solution see the attachment of table

sum ( x - x bar)² = 40

so, variance = 40/5

= 8

standard deviation = \(\sqrt{8}\)

= 2.83

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Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

Answer:

-3

Step-by-step explanation:

you can tell because 12-3=9 and 9 is the output. it's the same for the others. 15-3=12 and 20-3=17