Easy 1 through 3 ! 17 points

Answer:

-34

Step-by-step explanation:

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

a) The value of x is 3

b) The value of x is 5

Given the expression [tex]2^5\cdot 2^x = 256[/tex]

Using the law of indices, the equation becomes;

[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]

Hence the value of x is 3

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]

Hence the value of x is 5

Learn more on indices here: https://brainly.com/question/10339517

Answer:

-2/3+1/3= - 1/3

Step-by-step explanation:

if you look at the number line you just go once to the right

Answer: It's slope is zero

Step-by-step explanation:

Answer:

the slope is zero

Step-by-step explanation:

it is going straight

Answer:

There will be 2 bags of chips sold

Step-by-step explanation:

A system of equation is a collection of one or more equation involving the same variables.

Now , according to question :

since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26

Let us assume he sold x number of chips

money made from chips = $ 1.50 * x

Total money made : $30                          (Given )

equation according to question will be

26 + 1.50 x = 30

x= 2.7

Since , number of packets  can never be in decimal hence, rounding off to 2 packets

x= 2

Learn more about system of equation:

https://brainly.com/question/21620502?referrer=searchResults

#SPJ2

Answer:

2 1/2

Step-by-step explanation:

−45+3310=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-4/5, 33/10) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

The two fractions now have like denominators so you can add the numerators.

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

Answer:

Slope intercept form:

[tex]y = \frac{2}{3}x - \frac{9}{7}[/tex]

Answer:

y = 2/3x - 9/7

Step-by-step explanation:

If you want the slope intercept form:

y = 2/3x - 9/7

       ^         ^

   slope   y-intercept

Answer:

RT = 8

Step-by-step explanation:

The given parameters for the triangle are;

The vertices of the given triangle = RSQ

The point on the perpendicular bisector = Pont S and T

The length of the line segment RT = x

The length of the line segment TQ = 8

The length of the line segment QS = 10

The length of the line segment RS = 10

Given that I is a perpendicular bisector that passes through the vertex S, we have;

The line I bisects the segment RQ at point T into equal segments TQ and TR

Therefore, TQ ≅ TR and we have TQ = TR = 8

TR = 8

TR = RT (reflexive property)

Therefore; RT = 8.

Answer:

RS = 12

Step-by-step explanation:

if your question is asking for RS

Answer:

The answer is C., $24 per month.

Answer:

A $12

Step-by-step explanation:

she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.

Answer:

2/8, 4,16

Step-by-step explanation:

Answer:

y = x/2 + 4

Step-by-step explanation:

When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.

Answer:

4.4

Step-by-step explanation:

You have to turn 44% into a decimal which will be 0.44

Then multiply 0.44 by 10

0.44*10

4.4

Answer:

I think it might be C im not sure tho

Answer:

-5 5/6

Step-by-step explanation:

I just used my calculator.

Answer:

h=3

Step-by-step explanation:

Answer:

micro organism

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given} : [/tex]

[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]

[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]

[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]

[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]

[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]

[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]

[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]

[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]

[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]

[tex] \text{Hope \: I\: helped!}[/tex]

[tex] \rm{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

m = slope = -2

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]

Hope this helped! :)

Answer:

upove is correct

Step-by-step explanation:

hehe

Answer:

8 chairs

Step-by-step explanation:

5 quarts= 40/8 quarts

1 chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

8 chairs

Answer:

1.18

Step-by-step explanation:

Given the Magnitude of an earth quake model :

M = log(x/c)

x = measured amplitude ; c = reference amplitude

Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second

Let amplitude of seismic wave in first earthquake = x1

amplitude of seismic wave in second earthquake = x2

x1 = 15 * x2 = 15x2

Hence ;

1st earthquake magnitude :

M1 = log(a/c)

2nd earthquake magnitude :

M2 = log(15a/c)

M1 - M2

Log(x1/c) - log(x2/c)

Using the quotient rule

Log(x1) - log(c) - [log(x2) - log(c)]

Log(x1) - log(c) - log(x2) + log(c)

Log(x1) - log(x2)

Substituting x1 = 15x2

Log(x1) = log(15x2)

Seperating using product rule:

Log(x1) = log(15*x2) = log(15) + log(x2)

Hence,

log(15) + log(x2) - log(x2)

Log(15) - 0

= 1.1760

= 1.18 (nearest hundredth)

Answer:

z = 3 units

Step-by-step explanation:

45 ÷ 15 = 3

Step-by-step explanation:

A is wl

45 = 15 x z

45 = 15z

3 = z

Equation Given:

6⁴×6³

Step by step explanation:

Step 1:

[tex] {6}^{4} \times {6}^{3} [/tex]

Step 2:

[tex] = 1296 \times 216[/tex]

Step 3:

[tex] = 279936✓[/tex]

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

[tex]{6}^{4} \times {6}^{3} [/tex]

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {6}^{4} \times {6}^{3}\\

=>{6}^{(4 + 3)} \\

=>{6}^{7}\\

=>6×6×6×6×6×6×6\\

=>36×36×36×6\\

=>279936\ is\ answer..[/tex]

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

[tex]\frac{1}{2}[/tex] × £240 = £120

[tex]\frac{1}{10}[/tex] × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )

= [tex]\frac{5}{18}[/tex] ← in simplest form

Answer:

Option (K)

Step-by-step explanation:

From the figure attached,

Coordinates of the point T(x, y),

x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.

If OS = ST, x and y coordinates should be same in measure.

For the point (k, 5),

OS = 5 and ST = k

Since, OS = ST,

Therefore, k = 5

Option (K) will be the correct option.

Answer:

i think your answer would be $8.49 for a pair of gloves.

Step-by-step explanation:

50.94 / 6 = 8.49

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]

[tex]f(2) = 5[/tex]

[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]