A. - 8/5

B. 5/8

C. - 5/8

D. 8/5​

Answer:

a is 1

Step-by-step explanation:

[tex]a+\dfrac{1}{a}=2[/tex]

Multiply both sides by a:

[tex]a^2+1=2a[/tex]

Move everything to one side:

[tex]a^2-2a+1=0[/tex]

Factor:

[tex](a-1)^2=0[/tex]

By the zero product rule, a is 1.

Therefore, the expression is true, because:

[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]

Hope this helps!

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

Learn more about Inequalities here :

https://brainly.com/question/26855203

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Answer:

SYNTAX PROPERTY

Step-by-step explanation:

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!

Answer:

i dont know but here is some help

Step-by-step explanation:

Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .

Answer:

Correct answer = 20 miles

Step-by-step explanation:

The mistake she made was that she made was that she  multiplied the amount with 3 instead of dividing it.

The incorrect way -

$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)

Corrected method -

$60 = [tex]\frac{60}{3}[/tex] = 20 miles

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

Answer:

C.

Step-by-step explanation:

Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where volume of sphere = 81 π cm³

So, the equation becomes

81 π = [tex]\frac{4}{3} \pi r^3[/tex]

Answer:

the correct answer is the third row.

Step-by-step explanation

Step-by-step explanation:

It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]

Answer:

[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]

Answer:

X-3, not sure. Try that.

Answer:

[tex]3(x - 1)[/tex]

Step-by-step explanation:

Thinked number = x

take away = -1

[tex]x - 1[/tex]

multiply it by 3

[tex]3(x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:4.

Step-by-step explanation:

-6(4 + 5v) - 3 = -57

Use distributive properties

-24 -30V -3 = -57

Combine like terms

-27 -30v = -57

Add 27 to both sides

-30v = -30

Divide both sides by -30

V=1

Answer:

v = 1

Step-by-step explanation:

-6(4 + 5v) - 3 = -57

Add 3 to each side

-6(4 + 5v) - 3+3 = -57+3

-6(4 + 5v)  = -54  

Divide by -6 on each side

-6(4 + 5v)  / -6 = -54/-6

4+5v = 9

Subtract 4 from each side

4+5v-4 = 9-4

5v = 5

Divide each side by 5

5v/5 = 5/5

v =1

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

Answer:

2(L+W)H

Step-by-step explanation:

Surface area= 2(L+W)H

Answer:

2(L+W)H

Step-by-step explanation:

The lateral surface area is the total of the area of all the faces of the prism.

Hope this helps!

Answer:

a) y = -5 b) y = -4 c) y = 4 d) y = 11

Step-by-step explanation:

a) (-2+2)²-5

b) (-1+2)²-5

c) (1+2)²-5

d) (2+2)²-5

Answer:

Step-by-step explanation:

The hemisphere will have its greatest radius along the diagonal of the cube it was surmounted on. The base of the cubical block will be square in nature. Since a cube has all its sides equal, we can find the length of its diagonal using pythagoras theorem as shown.

[tex]hyp^{2} = adj^{2} +opp^{2}[/tex]

Note that the diagonal will be the hypotenuse of the square face which is the longest sides.

Given adjacent = 14cm and opposite = 14cm

[tex]hyp^{2} = 14^{2} +14^{2}\\hyp = \sqrt{196+196} \\hyp = \sqrt{392} \\hyp = 19.8cm[/tex]

The diagonal of the base of the cube is 19.8cm which is equivalent to the greatest diameter of the sphere.

The greatest radius that the hemisphere can have = 19.8/2 = 9.9cm

Drawing diagrams

Circles

Cubes

Let's draw a figure to supplement a visual image to further understand what we need to find. Please refer to the attached image for reference. Please excuse the poor handwriting/drawing. It is also not to scale.

We know that there is a cubical block w/ side measurements of 14 cm. "Surrmounted" means on top. So a hemisphere (half of a sphere) is on top of our block.

If we take a look at our geometrical shape from the top-down angle, we can see that the top would just look like a circle within a square, as depicted in blue.

Labeling our measurements, we can see that the length, width, and height of our cubical block are equal to 14 cm due to the definition of a cube. This extends to the definition of a square as well, so the length and width of our square are also equal to 14 cm.

With the side of the square equal to 14 cm, we know that this is equal to the circle's diameter. So d = 14 cm. We can solve for the radius of the circle/hemisphere by substituting it into the radius formula:

[tex]\begin{aligned}r & = \frac{d}{2} \\& = \frac{14 \ \text{cm}}{2} \\& = \boxed{ 7 \ \text{cm}} \\\end{aligned}[/tex]

∴ the greatest radius that the hemisphere can have is equal to 7 cm. Any r > 7 cm would result in the hemisphere being over the edge of the cube.

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Learn more about Geometry: https://brainly.com/question/27732359

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Topic: Geometry

Unit: Composition of Geometrical Shapes

Answer:

-4

Step-by-step explanation:

Substitute [tex]x = 2[/tex] in to the function

[tex]f(2) = 2^2 -5(2) + 2[/tex]

= -4

Answer:

The rate of change is "5"

which agrees with the last answer option

Step-by-step explanation:

Use the expression for the rate of change between two points on the plane:

[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]

Answer: is 5 I just took the test

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

Answer:

54 adult tickets and 27 child ticket

54×9.10+5.20×27=631.80

419.4+104.4=631.80

631.80=631.80 ( so it's the answer)

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

Answer:

I hope ive done this correctly

Fixed, i see where i went wrong, i done it backwards

Step-by-step explanation:

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

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Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3

Answer:

Given function f(x) = x + 2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Step-by-step explanation:

Given function

               [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

let       [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

    The Factor [tex]x^{2} - 3 x - 10[/tex]

                     x ² - 5 x + 2 x - 10

                  x ( x -5) + 2 (x-5)

         [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]

              y = x +2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

Answer:

Is thier an answer that you can put as Perpindicular because that should be the right answer

Step-by-step explanation:

Perpendicular lines are two lines that intersect and form right angles

Answer:

36

Step-by-step explanation:

ƒ(x) = 5x^2 − 9x + 18,

Let x=3

ƒ(3) = 5*3^2 − 9*3 + 18,

      =5*9 - 27+18

        45 - 27+18

         36

Answer:

[tex]m=A-\frac{2n}{Z}[/tex]

Step-by-step explanation:

Multiply by 2:

2n = Z(A - m)

Divide by Z:

[tex]\frac{2n}{Z} =A-m[/tex]

Subtract A:

[tex]-m=\frac{2n}{Z}-A[/tex]

Multiply by -1:

[tex]m=A-\frac{2n}{Z}[/tex]