Answer:
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8
Step-by-step explanation:
The given expression is :
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]
We know that,
[tex]\dfrac{1}{x}=x^{-1}[/tex]
So,
[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]
So, the value of the given expression is 8.
At the toy store, 4 toy cars cost $3.28. How much does it cost to buy 15 toy cars?
A. $12.30
B. $13.80
C. $11.55
D. $10.80
HELP PLEASEEEE I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
we need to make two rectangles.
one that is 13.1 Km X (9.3-4.2) Km
13.1 * 5.1 = 66.81
the next box is 4.2 X (13.1-8.1)
4.2*5 = 21
area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]
15 cm
15 cm
16 cm
20 cm
57 cm
What is the area of the polygon?
Answer:
this is insolveable
Step-by-step explanation:
Name
1 Translate rectangle ABCD three units to the left
and five units up. Label it ABCD
2. Figure ABC is dited by a sole rector of
Draw and obel the new tre
A
CAN SOMEONE HELP ME I NEED HELP LIKE.... NOW!!!
Answer:
(x+6)(x+4)
Step-by-step explanation:
HELP!!!
The coordinates of three vertices of a rectangle are
(-5, 3), (-5, -2), and (2,-2).
(a) What are the coordinates of the fourth vertex? .
(b) What is the area of the rectangle?
Answer:
a) (3,7) b) 35
Step-by-step explanation:
Tony has 75 dollars to spend on a game controller that costs $35 and used video games
costing 8 dollars each. How many video games can he buy?
Answer:5 I think
Step-by-step explanation:
75-35=40 40 divided by 8 is 5
Answer:
The answer is 5=x (he is able to buy 5 videogames)
Step-by-step explanation:
First, you need to put this into an equation format with a variable (x) for the videogames. Here is what the equation should look like: 75 = 35 + 8x
75 being the total amount of money he has to spend, 35 being what he had to spend or knows he will spend on the controller, and the 8 is for each videogame. We put an 'x' behind the 8 to signal that we don't know how many games he can buy. So, then we need to solve the equation.
75=35+8x
-35 on both sides
So, 40=8x, then you divide by 8 to get x by itself
5=x
The 'x' in this equation is how many videogames he is able to buy. The way you could check your work is if you plugged 5 back into x. What I mean is this: 35+8(5) needs to equal 75, and it does, so you're good!
‼️‼️‼️‼️‼️‼️‼️‼️Help plssss‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Select the correct answer.
Answer:
C. Full of
Step-by-step explanation:
Ous is defined as full of or possessing. An example of ous used as a suffix is in the word "contemptuous," which means full of contempt. Moreover, how does the suffix ous change a word? Adding the suffix -ous A suffix is a letter or a group of letters that can be added to a word to change its meaning.
I hope this helps :3
-ous means "full of".
When someone is courageous, they have a lot of courage
When someone is gracious, they have a lot of grace
the length of a rectangle is 15cm and with width is 8cm.
which is the perimeter of the rectangle?
You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?
Answer:
$1.26
Step-by-step explanation:
So you just have to find 2.25% of 56.
To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:
2.25% of 56
Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:
2.25% × 56
Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.
2.25% = 0.0225
And now you have:
0.0225 × 56
Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.
But once you multiply 0.0225 × 56, you get an answer: 1.26
Hope this was helpful to you, and don't forget to choose the Brainliest answer!
Roll the number cube to find the observed frequency. Which statements are true? Check all that apply
Answer:
(a) and (c)
Step-by-step explanation:
Given
See attachment for complete question
Required
Select all true statements
First, calculate the total observed frequency;
[tex]Total = 11 + 16 + 14 + 20 + 12 + 17[/tex]
[tex]Total = 90[/tex]
(a): Relative frequency of 4 is 2/9
Relative frequency is calculated by:
[tex]RF= \frac{Observed\ Frequency}{Total}[/tex]
For roll 4
[tex]Observed\ frequency = 20[/tex]
So, the relative frequency is:
[tex]RF = \frac{20}{90}[/tex]
Simplify
[tex]RF = \frac{2}{9}[/tex]
(a) is true
(b): Experimental probability of 3 greater than its theoretical probability
The experimental probability is its relative frequency;
For roll 3
[tex]Observed\ frequency = 14[/tex]
The experimental probability is:
[tex]Pr = \frac{14}{90}[/tex]
Simplify
[tex]Pr = \frac{7}{45} = 0.156[/tex]
To calculate the theoretical probability, w have:
[tex]S = \{1,2,3,4,5,6\}[/tex] ---- sample space
[tex]n(S)= 6[/tex]
[tex]n(3) = 1[/tex] --- number of times 3 occur
The theoretical probability is:
[tex]Pr = \frac{1}{6} = 0.167[/tex]
The theoretical probability is [tex]greater\ than\ the[/tex] experimental probability.
(b) is false
(c): Experimental probability of 2 greater than its theoretical probability
Using the explanations in (b), we have:
For roll 2
[tex]Observed\ frequency = 16[/tex]
The experimental probability is:
[tex]Pr = \frac{16}{90}[/tex]
Simplify
[tex]Pr = \frac{8}{45} = 0.178[/tex]
To calculate the theoretical probability, we have:
[tex]n(S)= 6[/tex]
[tex]n(2) = 1[/tex]
The theoretical probability is:
[tex]Pr = \frac{1}{6} = 0.167[/tex]
The experimental probability is [tex]greater\ than\ the[/tex] theoretical probability.
(c) is true
(d): Relative frequency of 5 is 2/13
For roll 5
[tex]Observed\ frequency = 12[/tex]
The relative frequency is:
[tex]RF = \frac{12}{90}[/tex]
Simplify
[tex]RF = \frac{2}{15}[/tex]
(d) is true
Answer:
Person above/under me is incorrect
Step-by-step explanation:
Answer is A and D Because i got their answer wrong
Bo gives 42 pencils to 7 students.
Each student receives the same
number of pencils. Which two
equations could be used to find the
number of pencils each student gets
A 42 = 7=6 and 5 X 7= 35
B 42 = 1 = 42 and 1 X 42 = 42
C 42 - 7 = 6 and 7 X 6 = 42
D 7 X 7 = 49 and 42 - 6 = 7
Answer:
C
because
[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]
YA
8
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,). Q(,0)
7 키
6|
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
41
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
21
3 2 1
-3 -2 -1 0
-1
2 3
AX
2
o
No
Answer:
a) P(0, 2), Q(4, 0)
b) Please find attached the plot of the points P and Q on a chart made with MS Excel
c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel
Step-by-step explanation:
The given equation for the line is 4·x + 2·y = 8
a) The coordinates of P = P(0, _)
Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)
When y = 0 from the given equation, we get;
4·x + 2·y = 8
At the point y = 0;
4·x + 2 × 0 = 8
x = 8/4 = 2
x = 2
∴ The coordinates of P = P(0, _) = P(0, 2)
Similarly, when x = 0, we get;
4·x + 2·y = 8
At the point x = 0;
4 × 0 + 2·y = 8
y = 8/2 = 4
y = 4
∴ The coordinates of Q = Q(_, 0) = Q(4, 0)
b) Rewriting the given equation in terms of 'y' gives;
y = (8 - 4·x)/2 = 4 - 2·x
y = 4 - 2·x
With the help of MS Excel, the points P and Q are plotted in the attached graph
c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.
Which is closest to the volume of a sphere with a radius equal to 8 centimeters?
Α.
267.9 cm3
B
803.8 cm3
С
1,607.7 cm3
D
2,143.6 cm3
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3
= 4π×512/3
≈ 2143.6 cm³
PLEASE HELP!!!! I NEED THE ANSWERS URGENTLY!
Find each missing length. Give all answers in simplest radical form.
Step-by-step explanation:
here's your solution
==> by using Pythagoras theorem
==> base^2 = hypotenuse^2 - perpendicular^2
==> hypotenuse = 18 , perpendicular = 16
==> base^2 = 18^2 - 16^2
==> base^2 = 324 - 256
==> base^2 = 68
==> base = √68
==> base = 8.24
[tex]hope \: it \: helps[/tex]
What is the area of the triangle?
Answer:
14
Step-by-step explanation:
so use formula BH/2
so 7x4/2
28/2
area=14
Answer:
14
Step-by-step explanation:
succes
...............
the graphs below have the same shape what is the equation of the red graph
The equation of the red graph is,
⇒ y = x² + 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation of blue graph is,
⇒ y = x²
Since, We have;
The red graph is 4 unit up from the blue graph.
Hence, The equation of the red graph is,
⇒ y - 4 = x²
⇒ y = x² + 4
Therefore, The equation of the red graph is,
⇒ y = x² + 4
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Which equation represents the problem? will choose brainliest
Answer: it is 3 definitely
Step-by-step explanation:
There are 4 people and each are getting one drink for 1.50 and 3 tacos so it makes sense to do 4 ( 1.50 + 3x ) by the way x stands for the money for the tacos
Part A There are 30 students in a class. 17 of the students are boys. What percent of the class are girls. *
Part B If the percentages are the same throughout the grade, how many girls are in the whole seventh grade if there are 150 seventh graders? Please help me answer ;)
Part B: 65
Step-by-step explanation:Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.
Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.
Which of the following sets of numbers could not represent the three sides of a right
triangle?
{39, 80, 89}
{48, 64,80)
{51,68,85)
{13,48.50)
Answer:
The answer is (13,48,50)
Hey can you help me fast!! I will give you a brain list if the Answer is right.
(36÷? )−(36÷? )=5
Please answer the ? here are the numbers you can only fill them in with 12,8,9, and 4
Answer:
4 and 9
Step-by-step explanation:
here's how it should be:
(36÷4) - (36÷9)
9 - 4
5
Answer:
(36 ÷ 4) − (36 ÷ 9) = 5
Step-by-step explanation:
To solve, we need to find the quotient of 36 divided by each number listed:
║12 ⇒ 36 ÷ 12 = 3
║8 ⇒ 36 ÷ 8 = 4.5
║9 ⇒ 36 ÷ 9 = 4
║4 ⇒ 36 ÷ 4 = 9
So, which of these two numbers can you subtract from each other to get 5?
║We can subtract 4 from 9 to get 5.
Therefore, our answer should be:
║(36 ÷ 4) − (36 ÷ 9) = 5
What is 200+199+1+3-94 divided by 11x12(5+3)x(3,540+32130-1
what are the steps when you simplify fractions
Answer:
The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?
Step 2. Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.
I hope this helps if you have any questions on my answer plz let me know Ty :3
Answer:
find the greatest common factor, then divide the bottom and the top, and you have that as your answer
hope this helps
have a good day :)
Step-by-step explanation:
Based on the given information, find the measure
of arc DC. (Hint: Try to find angle DBC first.)
Answer:
122degrees
Step-by-step explanation:
Since triangle BDC is a triangle, hence;
49 + 70 + <DBC = 180
<DBC = 180 - (70+49)
<DBC = 180 - 119
<DBC = 61
Since angle at the vertex is half the angle of its intercepted arc, then;
<DBC = 1/2 x
61 = 1/2 x
x = 61 * 2
x = 122degrees
Hence the measure of arcDC is 122degrees
What numbers go in the blanks to make the equation true?
Answer:
(2x^2+6x+3)(2x+4)
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to 5 log, 2 – log, 4,
OA log, )
O B. log, 28
OC. log, 8
OD. log, 6
Answer:
OC. log,8
Step-by-step explanation:
5 log,2 -log,4, = 0.903089987
log,8, = same as above
The expression [tex]5log2-log4[/tex] is equivalent to [tex]log8[/tex] which is option c.
What is Log?A logarithm answers the question "How many of this number do we multiply to get that number?" Example How many 2s must we multiply to get 8 that is 3.
Given,
[tex]5log2-log4[/tex]
= [tex]log2^5-log4[/tex]
= [tex]log32-log4[/tex]
= [tex]log\frac{32}{4}[/tex]
= [tex]log8[/tex]
Hence, the expression [tex]5log2-log4[/tex] is equivalent to [tex]log8[/tex] .
Learn more about Log:
https://brainly.com/question/10028985
#SPJ2
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
np!
Answer:
B
Step-by-step explanation:
since it is A over H (SohCahToa)
What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1 ? (Radical Expressions)
Discontinuity at (−1, 1), zero at ( four thirds , 0)
Discontinuity at (−1, 1), zero at ( negative four thirds , 0)
Discontinuity at (1, 7), zero at ( four thirds , 0)
Discontinuity at (1, 7), zero at ( negtive four thirds , 0)
Answer:
Discontinuity at (1, 7), zero at (-4/3 , 0)
Step-by-step explanation:
[tex]3x^{2} + x - 4[/tex] = (3x + 4)(x - 1) = 0
x = -4/3 or 1
But x = 1 makes f(x) undefined, so there is discontinuity at x = 1
and there is a zero at x = -4/3.
3x + 4 = 3(1) + 4 = 3 + 4 = 7
If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7). The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)