Between what two consecutive integers does log ₂ 75 lie?
a. 4 and 5
b. 5 and 6
c. 6 and 7
d. 7 and 8

Answers

Answer 1

Notice that

2⁶ = 64

2⁷ = 128

and

log₂(2⁶) = 6 log₂(2) = 6

log₂(2⁷) = 7 log₂(2) = 7

so log₂(75) lies between (c) 6 and 7.


Related Questions

Jackets cost $15 and a set of decorative buttons cost $5. The delivery fee is $5 per order. The expression 15n+5n+5 gives the cost, in dollars, of buying jackets with buttons for n people. Write this expression after combining like terms. *

Answers

Answer: 20n + 5

Step-by-step explanation:

From the question, we are told that jackets cost $15 and a set of decorative buttons cost $5 and that the delivery fee is $5 per order.

The expression 15n+5n+5 gives the cost, of buying jackets with buttons for n people. The expression after combining like terms would be:

= 15n + 5n + 5

= 20n + 5

convert 17 kilometers to the nearest whole mile

Answers

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Classify this triangle by its sides and angles.
-right and scalene-
-right and isosceles-
-acute and isosceles-
-acute and scalene-

Answers

Acute and isosceles

I NEED HELP PLEASE !!!!

Answers

Answer: de

Step-by-step explanation:

Are the triangles congruent?
SAS
SSS
ASA
HL
AAS
NOT CONGRUENT

Answers

Answer:

They are SAS congruent.

Step-by-step explanation:

Express (x + 10)^2 as a trinomial in standard form.

Answers

Answer:

x2-20x+100

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get  , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together:  . Then combine like terms

The required trinomial in standard form is x²+20x+100.

Trinomial:

Important information:

The expression is the [tex](x+10)^2[/tex].

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]

[tex](x+10)^2=x^2+20x+100[/tex]

Therefore, the required trinomial in standard form is x²+20x+100.

Find out more about 'Trinomial' here:

https://brainly.com/question/860565

Write 43.75 as a reduced fraction.

Answers

Answer: 43 3/4

Step-by-step explanation:

Reduce means simplify

43.75= 43 75/100

you can dive each side of 75 and 100 by 5

it will get you to 43 15/20

again it is not reduced dived by five once more

it will get you to 43 3/4

The _____ of a regular polygon is a point equidistant from each of its vertices.

Answers

Answer:

middle / centre

Step-by-step explanation:

Each point is the same distance to the middle of a polygon

hope this helps....

I need help with this problem!

Answers

Answer:

104

Step-by-step explanation:

100%= 1.00

so

420%= 4.20

Multiply 4.20×20

84

now add the original 20

104. She has 104 boxes in total.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

104

Step-by-step explanation:

20 + (20*4) + (20*0.2)

= 20 + 80 + 4

= 104

Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?

Answers

Answer:

Tyler practiced piano = 48 minutes

Step-by-step explanation:

Missing;

Hen practiced piano = 75 minutes

Given:

Tyler practiced piano = 64 % of Hen

Find:

How long Tyler practiced

Computation:

Tyler practiced piano = 64 % of Hen

Tyler practiced piano = 64 % x 75

Tyler practiced piano = 48 minutes

How could a company use a line graph to make it appear as though they had a larger profit?

Answers

Answer:

The “classic” types of misleading graphs include cases where: The Vertical scale is too big or too small, or skips numbers, or doesn't start at zero. The graph isn't labeled properly. Data is left out.

Answer for brainliest

Answers

He paid $6.42 per bag. $25.81 - $6.55 = $19.26. $19.26/3 = $6.42

Lance has 12 boxes of comic books. Each box has 40 comic books in it.
How many comic books does Lance have?

Answers

Answer:

480

Step-by-step explanation:

12*4=48 then add a zero to the end of it

hope that helps!

happy new year!

Answer:

Lance has 480 comic books.

Step-by-step explanation:

Multiply 12 by 40:)

PLEASE HELP QUICK!!!!! FIND THD SLOPE

Answers

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-0}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]


Sara wants to save 20% of the $150 she received for her birthday. How much money does Sara want to save?

Answers

Answer:

$30

Step-by-step explanation:

10 % of 150 is 15

20% is 30

hope this helps...

Answer:

30$

Step-by-step explanation:

To find 20% of 150$ you have to first make 20% a decimal and then multiply by 150$.

To do this:

150 (0.2) = 30

How many solutions does this system of equations have? y=3x+1 y=3x+7

Answers

Answer:

The following system of equation has no solution.

Step-by-step explanation:

since both of them are equal to y, set them equal to each other:

3x+1=3x+7

if you subtract both sides by 3x, you get 1=7. That is a contradiction, so this has no solutions.

This equation has no solution.

What is the inconsistent system?

An inconsistent system is a system that has no solution in any case scenario.

Given this system of equations y=3x+1,  y=3x+7.

on comparing both equations multiples of x and y are equal therefore, there will be no solution for a given equation.

Learn more about the inconsistent systems here:

https://brainly.com/question/28810468

#SPJ2

HELPP MEE PLEASEEEEEE

Answers

Answer:

wouldn't it be 5m....??

Non factorable with rational numbers

HELP ME PLEASE FAST. Which description best compares the graphs of these two functions?

Answers

Functions A and B have the same y- intercept

Answer:

what #1 said

Step-by-step explanation:

HELP ASAP
Solve for x: |2x + 12| =18
Is it
A X=3, X m -3
B X3, x =-15
C X=15, x =-15
D x-3, X- 15

Answers

X=3,X=-15 so the right answer is option B

Drag the labels to the correct locations on the table. The labels can be used more than once, but not all labels will be used.

Identify whether each exponential expression models growth or decay and what the rate is.

Answers

Answer:

growth. 25%

decay. 25%

growth. 100%

growth. 1%

decay. 1%

Step-by-step explanation:

Hey, I'm using edmuentum too, just so you know, you only have to do the tutorials unless you get the Mastery test wrong. I normally just skip through them and just get the questions wrong since the teachers can't see your answers on the tutorials. :) Anyways the answer is:

The first is growth by 25%

The second is decay by 25%

The third is growth by 100%

The fourth is growth by 1%

The last is decay by 1%

Find the slope. ASAP

AB contains A(3,-2) and B(-5,-4)

1. 1/3
2. 3
3. 1/4
4. 4

Answers

The answer is number 4

A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people,
36 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
% of the people had a mild allergic reaction,

Answers

Answer:

0.6% of the people had a mild allergic reaction.

Step-by-step explanation:

Given that:

Number of people who tried hair care products = 6000

Number of people who had reaction = 36

Percent of people = [tex]\frac{Number\ of\ people\ with\ reactions}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{36}{6000}*100[/tex]

Percent of people = 0.6%

Hence,

0.6% of the people had a mild allergic reaction.

please help me please will give brainliest


show all your work thank you ​

Answers

Answer:

Perimeter: 52 Area: 181-16i?

Step-by-step explanation:

Perimeter

The formula for perimeter is 2l+2w, so you plug in the binomials they give you:

2(11-4i)+2(15+4i)

expand:

22-8i+30+8i

combine like terms (which cancels out 8i and -8i):

22+30=52

Area

"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.

Here's what I did to get 181-16i, in any case:

The formula for area is l*w, so I plugged in the numbers:

(11-4i)(15+4i)

expanded:

165+44i-60i-16i*i

and combined like terms:

181-16i

*i is [tex]\sqrt{-1}[/tex], so [tex]i^{2}[/tex]=-1 and -1*-16=16.

How many 1/2's are in 3 1/2? *

Answers

Answer:

Step-by-step explanation:

7

Answer:

7

Step-by-step explanation:

3.5 divided by .5

Which function has a range of y20?
ty
Time
(hours)
1
Temp.
(°F)
-8
2
{(5,0).
(-3,4).
(0,7).
(11,-6)
2
3
-2
O
-4-2
2
-2
2
5
5
No
-2
7
10

Answers

Answer:

t218

Step-by-step explanation:

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60​

Answers

c if i’m not mistaken

the original price of a sweater is $36 the sale price is 25% of the original price what is the sale price

Answers

Answer: 9 dollars

Step-by-step explanation: 36-25%=9

Answer:

$5.40 is your answer

Please help I know it isn't 12 so please don't answer with 12.

Answers

I see do picture so unfortunately I cannot help you

what are the names of these polynomials?:
5x2−2x+3
7a3+4a−12
−15
12x2+5
3x+8

Answers

Answer:

1. Trinomial 2. Trinomial 3. Monomial 4. Binomial 5. Binomial

Step-by-step explanation:

The numbers with variables attached are called terms, and how many there are defines the equation. It doesn't matter how many variables or exponents are attached, there could be none or 15 each to the power of 6 but it's still one term. "Mono" means one, so there's only one term, "Bi" means two, so there are two terms, and "Tri" means three, so there are three terms. "Poly" applies to everything above three, though unused words for the bigger terms do exist.

Consider this quadratic equation:
2x2+12=0
Comparing it to the standard form, name a, b, and c
a=
b=
c=

Answers

Answer:

a=2

b=0

c=12

Step-by-step explanation:

The standard form of a quadratic equation is ax²+bx+c=0

Here's the given equation:

2x²+12=0

You might notice that the term bx is not there (there is just ax² and c). That means that b is 0.

The term 2x² is the term ax² in this equation. The coefficient in the term is 2, so that means that a is 2

12 has no variable, so that means it'll be c in the equation.

Hope this helps!

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