9 in
16 in
13 in
Drawing not to scale
a 38 in 2
b. 117 in 2
C. 468 in2
d. 58.5 in.?

Answer:

A. log9 3=x

Step-by-step explanation:

The logarithmic form with base 9 is log₉ 3 = x.

The correct option is A.

The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.

The logarithmic form with base 9 is log₉ 3 = x.

Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.

The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).

In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.

Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.

To learn more about the logarithms;

brainly.com/question/28346542

#SPJ6

Answer:

(7,-8)

Step-by-step explanation:

Given

(x,y) = (3,-10)

Required

The equivalent point on h(x) = k(x - 4) + 2

(x,y) = (3,-10) means

k(3) = -10

Substitute 7 for x in h(x)

h(7) = k(7-4) + 2

h(7) = k(3) + 2

Substitute -10 for k(3)

h(7) = -10 + 2

h(7) = -8

So, the equivalent point on h(x) is

(7,-8)

Answer:

v = √ar

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION;

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

the given formula is (a= v^2/ r) .....eqn(1)

Where

a=centripetal acceleration

r = object's distance

We were told to find velocity (v)

From eqn(1) we can cross multiply, then we have

a.r=v^2 ...................eqn(2)

Then we can make (v^2) the subject of the formula, we have

(v^2) = ar

We can make "v" subject of the formula, then we have

v = √ a*r

Answer:

r = v^2/a

Step-by-step explanation:

Answer:

[tex]{ \tt{f(x) = (x + 2)(x + 2.2i)(x - 2.2i)}}[/tex]

Answer:

Step-by-step explanation:

Answer is c

Answer:

6n>12

Step-by-step explanation:

n represents the number.

So 6 times the number would be 6*n or 6n.

Greater than 12 is >12

I hope this helps!

Answer:

1/6 is less than 1/2

Step-by-step explanation:

1/6 is close to 0

8/9 is close to 1

1/6 is less than 1/2

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

Answer:

Step-by-step explanation:

(x² - 5x + 2)*(3x² + 2x + 3) =x²*(3x² + 2x + 3) - 5x *(3x² + 2x + 3) + 2*(3x² + 2x + 3)

=x²*3x² + x²*2x + 3*x² - 5x *3x² - 5x * 2x - 5x*3  +2*3x² + 2*2x + 2*3

= 3x⁴ + 2x³ + 3x² - 15x³ - 10x² - 15x + 6x² + 4x+6

= 3x⁴ + 2x³ - 15x³  +3x² - 10x² + 6x²  -15x + 4x + 6

= 3x⁴ - 13x³ - 7x² - 11x + 6

When multiplying terms, multiply the coefficients and if same variables are there, then add the powers.

Answer:

Below in bold.

Step-by-step explanation:

a. This is the Lowest common multiple of 30 and 40 which is

120 seconds.

b. In 120 seconds Abram had completed 120/40

= 3 laps.

c.  Joshua completed 120/30 = 4 laps.

Answer:

Step-by-step explanation:

A, Lowest common mutiple of 30 and un is 120 seconds

(40x3 = 120, 30x4 = 120)

6.120/40 = 3 laPs Abram did 3 laps.

L. 120/30 = u laPs Jeshya did u laps

Answer:    It's "reflexive" because the equation is equal on both sides

Step-by-step explanation:         The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)

Hope this helped!!

[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]

Markup amount is 2250Nu

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

9514 1404 393

Answer:

  k = 56°

Step-by-step explanation:

If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...

  2b +a = 180°

from which we get ...

  a = 180° -2b

  b = (180° -a)/2

__

The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.

The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.

  k = 56°

_____

We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.

The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.

Answer:

if im not mistaken its 121

Step-by-step explanation:

Answer:

99°

Step-by-step explanation:

The interior angle sum of any 5 sided polygon is 540°.

540-53 = 487 - 137 = 350 - 105 = 245- 146 = 99°

since its the same you will have to multiple it all to get the answer

Answer: A and C

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

the graph should look something like this

Answer: 6.633 Feet

Step-by-step explanation:

Find the least common multiple.

List the multiples of each number:

6, 12, 18, 24, 30, 36, 42

10, 20, 30, 40

15, 30, 45

The least common multiple is 30.

The answer is 30

"reassessed" has a total of 10 characters, one of which (e) occurs 3 times and another (s) which occurs 4 times.

Taking each character to be distinct, there would be a total of 10! permutations. But we don't want to do that, and instead want, for instance,

rEassessEd

and

rEassessEd

to count as the same permutation. So we divide the previous total by the number of ways we can permute each set of repeated characters. For example, 3 e's can be rearranged in 3! ways.

So the total number of distinguishable permutations would be

10!/(3! × 4!) = 25,200

Answer:

m∠ADC = 90°

5x-5 = 90

x = 19

Step-by-step explanation:

Answer:2/pi

Step-by-step explanation:

First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.

Answer:

The answer is A. 54 (sqrt)2

Step-by-step explanation:

when x= 11

or,y= 35x +y/7

or,y= 35×11+y/7

or,y=(385×7+y)/7

or,7y=2695+y

or,7y-y =2695

or,y=2695/6

or, y = 449.167

Answer:

I assume that we want to find the inverse of the function:

f(x) = 2*x + 10

Remember that the inverse of a function f(x), is a function g(x) such that:

f( g(x) ) = g( f(x) ) = x

Because f(x) is a linear function, we can assume that g(x) will also be a linear function:

g(x) = a*x + b

let's find the values of a and b.

We will have that:

f( g(x) ) = 2*g(x) + 10 = 2*(a*x + b)  + 10

And that must be equal to x, then we need to solve:

2*(a*x + b)  + 10 = x

2*a*x + 2*b + 10 = x

this must be true for all values of x, so we can separate it as:

(2*a*x) + (2*b + 10) = x + 0

2*a*x = x    (one equation for the terms with x)

2*b + 10 = 0

Solving these two equations we get:

2*b = -10

b = -10/2 = -5

2*a*x = x

2*a = 1

a = 1/2

Then the inverse function is:

g(x) = (1/2)*x - 5

Answer: [tex]25.9\%[/tex]

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is [tex]x[/tex]

So, the selling price is [tex](1-0.15)x=0.85x[/tex]

Suppose the cost price is [tex]y[/tex]

[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]

So, the percentage the shopkeeper marked his goods above cost price

[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]

Answer:

C

Step-by-step explanation:

99+60=159.

159+60=219

219+60=279

Answer:

x is 90° I hope it will help you please follow me

Answer:

My answer came 78°

Step-by-step explanation:

First, B and C are alternate angles so,

71°= y (let) + 29°

Y= 42°

Then, X + 42 + 60 = 180°

X = 180 - 102

X = 78 °

Hope this helps. :)