Type the correct answer in the box. Use numerals instead of words. what value of x satisfies this equation? log(2x)=2

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

Answer:

The range is 62

Step-by-step explanation:

Given

[tex]x:70,12,42,45,50,51,60,69,8,40,18[/tex]

Required

The range

This is calculated as:

[tex]Range = Highest - Least[/tex]

From the given data

[tex]Highest = 70[/tex]

[tex]Least=8[/tex]

So:

[tex]Range = Highest - Least[/tex]

[tex]Range = 70-8[/tex]

[tex]Range = 62[/tex]

Answer:

A

(hg)( x)=(4x-3)(x+2)=4x²+5x-6

Answer:

x² + 13x + 42 = 0

Step-by-step explanation:

(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42

this is g mail ok dont do enything messed up ok :)

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

Answer:

*cough**cough* Ms. Roth?

Answer:

1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5

Step-by-step explanation:

yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6

Answer: the answer is 213.4

Stepby-step explanation:

First you multiply 10.8 and 19.8 then your done

Answer:

10.8 ÷ 6

1.8

Step-by-step explanation:

Step-by-step explanation:

always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.

Answer:

B

Step-by-step explanation:

The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.

The length of the leg is 10.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 45 = Opposite face to angle 45/ Hypotenuse

1/√2 = s / 10√2

s = 10√2 / √2

s = 10

Thus,

The length of the leg is 10.

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a)

sin18 = AB/80

AB = (sin18)(80) = 24.7214 m

b)

tan25 = BT/AB = BT/24.7214

(24.7214)(tan25) = BT

BT = 11.5278 m

Answer:

option 2

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

Answer:

126

Step-by-step explanation:

area of a triangle = base ×height/2

so 18×14/2= 126cm2

hope this helps you understand:)

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

Answer:

Substitute the values given for f(x) and g(x), in 1. they say f(x)=4x and g(x)=1-x

and basically just substitute them for the functions themselves.

4x+1-x

add like terms!

4x-x = 3x!

3x+1 is your simplified answer, since it is an expression it cannot be simplified any further.

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

Answer:

Step-by-step explanation:

9)  (25-x^2 )(a+2) = (5-x)(5+x)(a+2)

11) 9(v-3)+u^2(3-v)

   9(v-3)+u^2( -v+3)

   9(v-3)-u^2( v-3)

   (9-u^2)(v-3)

 (3-u)(3+u)(v-3)

Answer:

d

Step-by-step explanation:

The value of x in the given isosceles triangle, is √55 units.

A triangle with two sides equal is called an isosceles triangle.

Given that, an isosceles triangle, with base 6 units and legs 8 units, we need to find the length of the altitude x,

Since, ABC is an isosceles triangle, therefore, BD = DC = 6/2 = 3 units

Using the Pythagoras theorem,

AC² = DC² + AD²

8² = 3² + AD²

AD² = 64-9

AD² = 55

AD = √55

Hence, the value of x in the given isosceles triangle, is √55 units.

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Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter[tex]d= 3-cm[/tex]

Radius [tex]r=d/2=>1.5cm[/tex]

Height risen[tex]14.6-14=0.6cm[/tex]

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

[tex]V=\pir^2h[/tex]

Therefore

[tex]V=\pi*1.5^2*0.6[/tex]

[tex]V=4.2417\\\\V=4.24 cm^3[/tex]

Correct Option A

The volume is about 4.24 cm^3.

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

Answer:

75%

Step-by-step explanation:

18/24 = .75

Answer:

75%

Step-by-step explanation:

18 / 24 = 0.75%

Answer:

13

Step-by-step explanation: