help find value of x and Angle HIK

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Answer:

288 square inches

Step-by-step explanation:

since we are not told what to find, we can as well find the volume of the prism

Volume of the prism = BH

B is the base area = 1/2 * 6 * 8

B = 48/2

B = 24 square inches

H is the height of the prism = 12in

Volume of the prism = 24 * 12

Volume of the prism = 288 square inches

Answer:

See Explanation

Step-by-step explanation:

Given

Lines GF, CD and AB

Required

Relationship between GF and CD

The question is incomplete, as there is no attachment to support the given parameters.

The general solution goes thus:

(a) CD and GF perpendicular to AB

If two lines are perpendicular to another line; then the two lines are parallel to each other.

This means that CD and GF are parallel, and they have the same slope

(b) CD is not perpendicular to AB

Here, we know that GF is perpendicular to AB, CD is not;

This means that GF and AB are not parallel.

More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.

Answer:

A. The points are collinear and coplanar

Answer:

$11838.7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 9500

r = 4.5% = 0.045

t = 5

Step 2: Find A

Answer:

sorry im on a time lapse, so the answer is 2  1/2. hope it helps

Step-by-step explanation:

Answer:

Hi above picture is the solution for your question.

Please mark it the brainliest answer

1. Subtract 2 from both sides of the equation

4x + 2 = 7x - 13

4x + 2 - 2 = 7x - 13 - 2

2. Simplify

4x + 2 - 2 = 7x - 13 - 2 -----> 4x = 7x - 13 - 2 -----> 4x = 7x - 15

3. Subtract 7x from both sides of the equation

4x = 7x - 15

4x - 7x = 7x - 15 - 7x

4. Simplify

4x - 7x = 7x - 15 - 7x -----> -3x = 7x - 15 - 7x -----> -3x = -15

5. Divide both sides of the equation by the same term

-3x = -15

-3x/-3 = -15/-3

6. Simplify

-3x/-3 = -15/-3

x = -15/-3

x = 5

7. Solution

x = 5

Hope that helps! :D

Answer: (see explanation)

Step-by-step explanation:

terms: 7, 2x, x4

leading coefficient: 7

constant term: 7

I'm sorry I'm unsure how to solve the last question.

Answer:

the answer to the question is -2

Step-by-step explanation:

a certain number=x

therefore,x+9=5-x

x+x=5-9

2x= -4

you the divide both sides by2 to gain x

Answer:

Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day.

Answer:

M = 6

N= 7

Step-by-step explanation:

M + 7 = 3

M= 6

6 + 7 = 13, so we get 3 and carry 1

Now 1 + 4 + N = 12

1 + 4 + 7  = 12

So N = 7

Therefore,

46 + 77 = 123

Answer:

[tex]A=107 square\ unit[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]\angle MNP= 48m[/tex]

 [tex]\angle MN=16 unit[/tex]

Generally the equation for Area of a sector A is mathematically given by

 [tex]A=\frac{\theta}{360}*\pi*r^2[/tex]

 [tex]A=\frac{48}{360}*3.14*16^2[/tex]

 [tex]A=107.18 square\ unit[/tex]

 [tex]A=107 square\ unit[/tex]

Answer:

10.4

Step-by-step explanation:

Area of sector=central angle/360(area)

=46/360(π5^2)

=10.04

Answer:

No

Step-by-step explanation:

Answer:

i.x=1      (x,y)=(1,3)

y=3

ii.x=2      (x,y)=(2,4)

y=4

iii.x=3      (x,y)=(3,5)

y=5

iv.x=4       (x,y)=(4,6)

y=6

v.x=5        (x,y)=(5,7)

y=7

Step-by-step explanation:

Answer:

x = 9.85 units

Step-by-step explanation:

sin 38° = x/16

cross-multiply to get:

x = 16·sin 38° which equals 9.85

Answer:

Step-by-step explanation:

Answer:

Slope: -1/3

y intercept: (0, -2)

I'm pretty sure it's D

Answer:

the answer for this question is 1000times.

Step-by-step explanation:

the value for 9 in 157,900 is nine hundred(900).and the value of 9 in 901,532 is nine hundred thousand(900000).

900×1000= 900,000.

The place value of the number 9 in the first number is 1000 times greater than the second number.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

Given, A number 901,532, So the place value of the number 9 is 900000.

And, In the number 157,900, The place value of 9 is 900.

Therefore, The number of times the value of 9 is greater in 901,532 compared to 157,900 is,

= 900000/900.

= 1000 times.

learn more about face value and place value here :

https://brainly.com/question/27734142

#SPJ2

Given:

The inequality is:

[tex]-4x-7y<15[/tex]

To find:

The whether (-6,3) is a solution of given inequality of not.

Solution:

We have,

[tex]-4x-7y<15[/tex]

We need to check the inequality for point (-6,3).

Substitute [tex]x=-6, y=3[/tex] in the given inequality.

[tex]-4(-6)-7(3)<15[/tex]

[tex]24-21<15[/tex]

[tex]3<15[/tex]

This statement is true. It means the point (-6,3) satisfies the given inequality.

Therefore, the correct option is A. Yes, the ordered pair is a solution.

Answer:

I tried my best below

Step-by-step explanation:

8. 54

9. 2

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

Answer:

B) 6(3x + 5y)

Step-by-step explanation:

6 times 3 is 18 and 6 times 5 is 30

Answer:

13y = 52

Step-by-step explanation:

6x - 6x + 4y + 9y = (46 + 6)

6x - 6x + 4y + 9y = 52

0 + 4y + 9y = 52

0 + 13y = 52

13y = 52

(p.s. y = 4)

Answer:

pls give me brainliest

Step-by-step explanation: