Answer:
Step-by-step explanation:
9)
10110 in base 2
base 5= 10110*5/2=50550/2=25275
base 10=10110*5=50550
10)
110001 in base 2
base 5= 110001*5/2=550005/2=275002.5
base 10=110001*5=550005
11)
14 in base 5
base 2=14*2/5=28/5=56/10=5.6
base 10=14*2=28
12)
40 in base 5
base 2=40*2/5=80/5=160/10=16
base 10=40*2=80
13)
124 in base 5
base 2=124*2/5=248/5=49.6
base 10=124*2=248
14)
200 in base 5
base 2=200*2/5=400/5=80
base 10=200*2=400
15)
21 in base 5
base 2= 21*2/5=42/5=84/10=8.4
base 10=21*2=42
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Determine the value of a. answers: A) 10 B) 6 C) 7 D) 70
Answer:
C
Step-by-step explanation:
Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!
Answer:
a =7
Step-by-step explanation:
The triangles are similar so we can use ratios
10 10
------ = --------
10+a 10+7
Since the numerators are the same, the denominators have to be the same
10+a = 10+7
a = 7
Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?
What is the slope of the first line?
✔ –5
What is the slope of the second line?
✔ 2
How many times do the lines intersect?
✔ 1
How many solutions does the system have?
✔ 1
Answer:
Step-by-step explanation:
-5x - 1 = 2x + 6
-7x - 1 = 6
-7x = 7
x = -1
y = -5(-1) - 1 = 5 - 1 = 4
(-1. 4)
first slope: -5
second slope: 2
once
one
find the volume of both shapes please answer will give brainiest Also please answer neatly.
Answer:
2). Volume = 14400 feet³
3). Volume = 157.5 ft³
Step-by-step explanation:
Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.
2). In this part of the question solid given is in the shape of an rectangular pyramid.
Volume of this oblique pyramid = [tex]\frac{1}{3}(\text{Base})(\text{Height})[/tex]
Here 'B' = area of the base
h = height of the pyramid
Volume = [tex]\frac{1}{3}(25\times 36)\times 48[/tex]
= 14400 cubic feet
4). Volume of a triangular cone = (Area of the triangular base)×(height)
= [tex][\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}[/tex]
= [tex]\frac{1}{2}(7\times 9)\times {5}[/tex]
= 157.5 ft³
Plzz answer the question ASAP. Plzz ignore #12 I just need 11
Answer:
a) g(f(x)) = (sqrt(x - 5))^2 + 1 = x - 5 + 1 = x - 4
b) For f(x), domain is x - 5 >= 0, or x >= 5, so for g(f(x)), the domain is
x >= 5
Solve: 3 In x= In 216
O x= 3
0 x = 6
OX= 72
DONE
ANSWER IS B
X=6
Answer:
x = 6
Step-by-step explanation:
3 ln x = ln 216
Rewrite 216 as 6^3
3 ln x = ln 6^3
We know that ln a^b = b ln a
3 ln x = 3 ln 6
x = 6
PLEASE HELP MEEEEE!!
Answer:
3) 10^12
4) 0.99^4
8) x^12
9) 3/4^6
Step-by-step explanation:
10^(6+5+1)
0.99^(3+1)
x^(6+2+4)
3/4^(2+2+2)
3) 10^12=1000000000000
4)0.99^4=0.96059601
8)x^12
9)(3/4)^6=0.1779...
Find the solutions to the equation below.
Check all that apply.
2x^2+7x+3=0
O A. X=7
OB. X=4
OC. X=3
OD. X=-1/2
OE. X = 2
OF. X=-3
The solutions of the equation 2x²+7x+3=0 are x=-1/2 and x=-3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is 2x²+7x+3=0
Two times of x square plus seven times of x plus three equal to zero is the form of quadratic.
We can solve the quadratic equation 2x²+7x+3=0 using factoring
Let us find two numbers whose product is 2x²+7x+3=0 and
whose sum is 7.
We can see that 2x²+7x+3=0
Let us factor by grouping
2x²+6x+x+3=0
2x(x+3)+(x+3)
=(2x+1)(x+3).
x=-1/2 and x=-3
Therefore, the solutions are x=-3 and x=-1/2.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ7
The length of rectangle B is 25% greater than the length of rectangle A. The width of rectangle B is 3/5 X the width of rectangle A. Find the fraction Area of B/Area of A Give your answer in its simplest form.
Answer:
The value of Area of B/Area of A is 0.75.
Step-by-step explanation:
It is provided that:
The length of rectangle B is 25% greater than the length of rectangle A. The width of rectangle B is 3/5 X the width of rectangle A.Consider the diagram below.
The area of a rectangle is:
[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]
Compute the area of rectangle A as follows:
[tex]\text{Area of A}=l\times b[/tex]
Compute the area of rectangle B as follows:
[tex]\text{Area of B}=1.25\ l\times \frac{3}{5}\ b=0.75\ (l\times b)[/tex]
Compute the value of Area of B/Area of A as follows:
[tex]\frac{\text{Area of B}}{\text{Area of A}}=\frac{0.75\ (l\times b)}{l\times b}=0.75[/tex]
Thus, the value of Area of B/Area of A is 0.75.
What is the area of this parallelogram? ____cm2
Answer:
30.6
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 6.8
Height = 4.5
6.8 * 4.5 = 30.6
Just answering so Adriantan2019 can get brainliest because that was a good answer and I don't remember how to do the area! SORRY! :) Have a great day! :)
Classify COB in the image above as either acute, obtuse, right, or straight angle.
Answer:
Number 2 obtuse
Step-by-step explanation:
Answer:
∠COB is obtuse angle
Explanation:
I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.
We can clearly see, just by looking at the image. ∠COB is an obtuse angle
Evaluate 24nk if n= 6 and k = 8
24nk
n=6
k=8
24 × (6) × (8)
24 × (48) = 1152
Answer:
24nk=1152
Step-by-step explanation:
24nk
Substituting the values in the equation
24*6*8
In order to evaluate these values we have to simply multiply the numbers
144*8
I hope it will help you
1152 is the answer
Gina bought one pound of cheese and used of it.
She split apart the remaining cheese into 5 equal parts to eat for lunch each day during
the week.
Which expression represents the cheese Gina will eat for lunch each day?
Answer: 1p/5
Step-by-step explanation:
Answer:
Gina will eat pound cheese for lunch each day
Explanation
Amount of cheese bought = 1 pound and the amount of cheese used = pound
So, the remaining amount of cheese
As this pound cheese is splitting into 5 equal parts, so the amount of each part will be: ÷ 5 = × = pound
So, Gina will eat pound cheese for lunch each day.
Step-by-step explanation:
If a soccer team made 25 penalty shots out of 100 what fraction and what percentage of penalty shots did the team miss!? Choose two answers
Answer:
It will be letter D and A
Step-by-step explanation:
Letter D, because you are saying that is 25 over 100 and letter A because the equation to find a percentage is:
[tex]\frac{X}{Y}= \frac{PERCENTAGE MISSING}{100}[/tex]
X and Y: will be the information that they give so, the equation and answer will be
[tex]\frac{25}{100} =\frac{x}{100}\\\\ \frac{25* 100 }{100} \\\\\frac{2500}{100} \\\\25%[/tex]
Answer:
D & A
Step-by-step explanation:
Find the distance between the pair of points: (0,-8) and (0,4)
Answer:
12 units
Step-by-step explanation:
distance formula
Your boss asks you to interpret the following from a custom paint report he has just received. µ ≥400 ml
The true mean volume of paint in each can is
Blank
or
Blank
400 ml.
Answer:
The true mean volume of p
aint in each can is greater than or equals to 400ml
Step-by-step explanation:
The symbol of μ represents the mean of a data.
Mean can be defined as the average value of a set of data
Let consider the question.
We know that
μ ≥ 400ml
Where the sign ≥ means "greater than or equals to"
Which means that μ is greater than or equals to 400ml
So the solution is:
1st blank = greater than
2nd blank = equals to
can you add a fraction and a whole number.give and example
Step-by-step explanation:
if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .
example : the mixed number 8 3/4 is understood to mean the same thing as
8 + 3/4.
What is the definition of the cosine ratio of an acute angle of a triangle?
opposide side / hypotenuse
adjacent side / opposite side
opposite side / adjacent side
adjacent side / hypotenuse
Answer:
I think the answer is the last one
adjacent side / hypotenuse
The figure below is a right rectangular prism with
rectangle ABCD as its base.
х
What is the area of the base of the rectangular prism?
M square centimeters
What is the height of the rectangular prism?
centimeters
What is the volume of the rectangular prism?
cubic centimeters
w
N
6 cm
B
Y
A
C
9 cm
2 cm
D
Answer:
1) 9 × 2 = 18 cm²
2) 6 cm
3) 9 × 2 × 6 = 108 cm³
Answer:
Base area: [tex]18cm^2[/tex]
Height: 6 cm
Volume: [tex]108cm^3[/tex]
Step-by-step explanation:
Base area:
So the base is the side the right rectangular prism is laying on and in this case it is ABCD and the length and width is 9 and 2 so multiplying that we get [tex]18cm^2[/tex].
Height:
In this scenario of a right rectangular prism any side It is lying on so we will use 6 cm as the height.
Volume:
To find the volume of a rectangular prism you have to use the following formula.
[tex]V=l*w*h[/tex]
The l is length which is 9 cm.
The w is width which is 2 cm.
And the h is height which is 6 cm.
So multiplying all that we get [tex]108cm^3[/tex].
Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.
Answer:
G(x)=-(x+3)+6
Step-by-step explanation:
f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3
If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
Given the graph below, which of the following statements is true?
Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .
At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
51/12
as a mixed number
4 1/4
Step-by-step explanation:
first you add 8 to 4 which is 12
so the improper fraction would be 51/12
how to turn it in to a mixed number in simplest form
step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:
51 / 12 = 4.2500 = 4
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
51 - (12 x 4) = 3
Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
4
3
12
Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:
4
1
4
6w-19 + k when
w=8 and k = 2
Answer:
31.
Step-by-step explanation:
1. Write out the problem.
6w-19 + k; w=8 and k=2
2. Figure out the first part of the problem.
So, if w=8 and 6 and w are next to each other, we should multiply 6*8, which is 48. Next, it says to subtract 19. 48-19=29.
3. Find out what the last part of the problem is.
Since the first part of the problem is 29 and k=2, we should add 29+2=31, which is the final answer.
Hope this helped :)
Solve for X 4x−1 =3 Answer:
Add 1 to both sides of the equation to get 4x = 4.
Divide both sides by 4 and x = 1.
Answer:
x= 1
Step-by-step explanation:
4x-1=3
+1 +1
4x=4 (divide both sides by 4 to get x alone)
x=1
Using the following image, if = 20, what are , , and .
If you are using a screen-reader, please consult your instructor for assistance.
= Answer
= Answer
= Answer
Answer:
Step-by-step explanation:
if DF=20, then:
4x+8+2x-2=20
6x+6=20
6x=14
x=14/6
x=7/3
then
DE=4x+8
DE=4(7/3)+8
DE=(28/3)+24/3
DE=52/3
And
EF=2x-2
EF=2(7/3)-2
EF=14/3-6/3
EF=8/3
What is the measure of angle SQR please help
The options are
A.) 132°
B.) 55°
C.) 134°
D.) 93°
Answer:
D i think
Step-by-step explanation:
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
Solve |3 - x| = 8 !!
Answer:
-5 and 11
Step-by-step explanation:
| 3-x | = 8
absolute sign has two value. POSITIVE and NEGATIVE value
POSITIVE
3-x = 8
x = 3-8 = -5
NEGATIVE
-(3-x) = 8
-3 + x = 8
x = 8+3 = 11
Answer:
x =-5 x = 11
Step-by-step explanation:
|3-x| = 8
We get 2 solutions to an absolute value, one positive and one negative
3-x =8 3-x = -8
Subtract 3 from each side
3-x-3 = 8-3 3-x-3=-8-3
-x =5 -x = -11
Multiply by -1
x =-5 x = 11
A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is 950 feet. If the length of the pool is 6 feet longer than the width, find the dimensions of the pool.
Answer:
Step-by-step explanation:
Pool:
Width = x ft
Length = (x+6) ft
Pool along with walkway:
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
29.4 length and 21.4 width.
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total