Evaluate the following expression if x=3: (1/2)^x
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]
How many 7-digit even numbers can be
formed using all of the digits 0, 1, 1, 2,
3, 4, 5?
Answer: The answer is 1320 hope this is right.
Step-by-step explanation:
Find the area of each shaded region in each figure.
Answer:
Step-by-step explanation:
Area of Yellow Rectangle
Area = L * W
Area = 25 * 11
Area = 275
Area of Parallelogram
Area = Base * height
Area = 12 * 4
Area = 48
Area of shaded area
Area = rectangle - Parallelogram
Area = 275 - 48 = 227 square feet
which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta) (1-cos^2(theta))
Answer:
A & B
Step-by-step explanation:
cos(theta)tan(theta) can be expressed as;
cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).
cos(theta) cancels out to give; sin(theta)
Thus is equivalent to option A
GIVING BRAINLY TO YOU IF YOU ANSWER QUICK Which of the following body parts has striped muscles?
Bladder
Heart
Intestine
Stomach
Answer:
heart
Step-by-step explanation:
Answer:
It would be the heart <3
Step-by-step explanation:
12. In a certain cafe, all the sandwiches and drinks are priced the
same. A customer ordered three sandwiches and two drinks for
$14.70. Another customer bought two sandwiches and four drinks
for $13.80. Find the cost of one sandwich and the cost of one drink.
The cost of one sandwich is $3.90
The cost of one deknk is $1.50
hopefully this is correct
The system of equations are
The cost of one sandwich x = $ 3.90
The cost of one drink y = $ 1.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one sandwich be x
Let the cost of one drink be y
Now , the equation will be
A customer ordered three sandwiches and two drinks for $14.70
So , 3x + 2y = 14.70 be equation (1)
And , Another customer bought two sandwiches and four drinks for $13.80
So , 2x + 4y = 13.80 be equation (2)
On simplifying the equations , we get
Multiply equation (1) by 2 , we get
6x + 8y = 29.4 be equation (3)
Subtracting equation (2) from equation (3) , we get
4x = 15.6
Divide by 4 on both sides of the equation , we get
x = $ 3.90
So , the cost of one sandwich is $ 3.90
And ,
Substituting the value of x in equation (1) , we get
3x + 2y = 14.70
3 ( 3.90 ) + 2y = 14.70
11.70 + 2y = 14.70
Subtracting 11.70 on both sides of the equation , we get
2y = 3
Divide by 2 on both sides of the equation , we get
y = $ 1.50
So , the cost of one drink is $ 1.50
Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively
To learn more about equations click :
https://brainly.com/question/19297665
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Perry deposits $175 into a simple interest account. The interest rate for the account is 4.25%. What would his final balance be in his account after 3 years?
Answer:
$197.31
Step-by-step explanation:
Given data
Principal= $175
Rate= 4.25%
TIme= 3 years
The expression for the simple interest is given as
A=P(1+rt)
substitute
A= 175(1+0.0425*3)
A= 175(1+0.1275)
A= 175(1.1275)
A= $197.31
Hence the balance will be $197.31
What is the slope of the line shown on the graph?
Answer:
Step-by-step explanation:
The slope, m, can be determined using any two points, and slope is defined as
m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)
m=(-1-0)/(5-0)
m=-1/5
which of the following expression equal 44 / 100
Answer:
Where are the following expressions?
Step-by-step explanation:
Sofia was following a recipe to cook for her friends. She only used ⅔ of the chicken in the recipe because it was a small gathering. If she ended up using 2.5 pounds of chicken, how many pounds of chicken are called for in the actual recipe?
Answer:
3.75
Step-by-step explanation:
Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for
Hopefully this helps- let me know if you have any questions
use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3
Answer:
(1-x2)× (2-3x)2
(1-x2) ×(8-36x+54x2-27x3)
8-36x+54x2-27x3-8x2+36x3-54x4+27x5
8-36x+46x2+9x3-54x4+27x5
Answer: 27x5-54x4+9x3+46x2-36x+8
Step-by-step explanation:
step 1- expand the expression
step 2- remove the parentheses
step 3- collect like terms
step 4- reorder the terms
Which of the following statements is true for the equation 2x+2=3x+1? The equation is never true. The equation is only true for x = 1 The equation is true for all values of x. The equation is true for all values except x = 1.
If you had a cube with a side length of 4, how can your write the calculations in exponential form? You write it in exponential form by What are 2 other ways to read the exponent verbally.
4^3
you can write it like 4 × 4 × 4
you can also call it "Four to the Third power". or "Four cubed".
In the opening credits of each episode of
the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.
a) How many arrangements are there of all
the letters in FAWLTY TOWERS?
b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?
Solve for x using the diagram. (Simply your answer)
Answer:
x=6
Step-by-step explanation:
The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).
Since, they're similar, the sides are in ratio to eachother:
[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]
12(2x+3)=20(x+3)
24x+36=20x+60
4x=24
x=6
Question 1
SCHOOL ELECTIONS Henrietta conducted a random survey of 60 students and found that 36 are planning to vote for her as class
president. If there are 460 students in Henrietta's class, predict the total number of students who will vote for her as class president.
Answer:
276 students
Step-by-step explanation:
36/60=0.6
Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.
460(0.6)=276
That means 276 students will vote for her.
HELP ME ASAP!!!!!!!!!!!
Pls see question attached.
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING-EXCELLENT!!!!!!!!! Good Luck!
apokibunnyavatar xx
Answer:
y=2x-1
Step-by-step explanation:
Answer:
y=2x-1
Step-by-step explanation:
Every 1 x the line goes across it goes up 2 so x=2. You will also notice that the line passes through -1 on the y so y=2x-1/ BTW great graphing calculator to check lines and equations
desmos calculator
PLS HELP it’s due today. Khan academy. One question. I’m struggling.
Answer:
132 square units
Step-by-step explanation:
We are to find the surface area of a square pyramid.
From the diagram above, we are given:
Slant height = 6 units
Base = 8 units
The formula is given as:
= 2bs + b²
= 2 × 8 × 6 + 6²
= 96 + 36
= 132 square units
Enter an equation in the form y = mx + b that represents the function described by the graph.
PLEASE HELP
Answer:y=4x+2
Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.
(yz)log y - logz . (zx)log 2 - log x
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If u can’t see it can I can post it again
Answer:
Step-by-step explanation:
The property of 30°-60°-90° :
The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.
Which is the best prediction for the number of minutes
of exercising Sam will do if she spends 30 minutes
watching television that day?
45 minutes
0 72 minutes
O 83 minutes
O 118 minutes
Answer:
72 mins
Step-by-step explanation:
The number of minutes Sam spent on exercising is 72 minutes. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y = -0.78x + 95
Let x be the number of minutes of television Sam watched each day and y the number of minutes she spent exercising.
Here, x=30
Substitute x=30 in the given function, we get
y = -0.78(30)+95
= -23.4+95
= 71.6
≈ 72 minutes
Therefore, option B is the correct answer.
To learn more about the function visit:
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"Your question is incomplete, probably the complete question/missing part is:"
The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.
Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?
A. 45 minutes
B. 72 minutes
C. 83 minutes
D. 118 minutes
The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches
Please help!!!!!!!!!!!!
Answer:
[tex]40\frac{5}{8}mm^2[/tex]
Step-by-step explanation:
To find the area of a triangle, one must use the formula,
[tex]\frac{base*height}{2}[/tex]
It is given that
- base = [tex]9\frac{3}{4}[/tex]
-height = [tex]8\frac{1}{3}[/tex]
Substitute in the values and solve;
[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]
In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;
- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]
- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]
Substitute,
[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]
Cross simplify,
[tex]\frac{\frac{325}{4}}{2}[/tex]
Further simplify,
[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]
Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,
[tex]40\frac{5}{8}[/tex]
III
Knowledge Check
Leila started a test at 9:43 AM and finished it at 10:12 AM.
How long did it take her? Give your answer in minutes.
x
Answer:
19 minutesStep-by-step explanation:
9:43 - 10:12
9:43 - 10:00 = 17 minutes
10:00 - 10:12 = 12 minutes
17 + 12 = 19 minutes
Hope that helps!
Answer:
29 minutes
Step-by-step explanation:
10:12 - 9:43 = 29 minutes
What is the radius of the circle?
The diameter of a circle measures 7 5/6 inches.
Enter your answer as a mixed number.
__ in.
Answer first, answer right, get brainly.
Answer:
3 11/12 in.
Step-by-step explanation:
The radius is simply half of the diameter.
7 5/6 divide by 2 = 3 11/12
The mean age of 5 people in a room is 39 years.
A person enters the room.
The mean age is now 36.
What is the age of the person who entered the room?
Answer:
fast multiply 5 by 39 to get the total age of the five people now as you are told those per 5 so imagine the six person being you if you enter you're going to add to their ages so they mean is going to be for six people so take the six people x their mean age now we have two different total ages for the five people and for the six people subtract the total age of the 5 from the 6th total ages to get the age of the person who entered the room if you don't understand please ask me and be willing to help
Answer:
The age of the person who entered the room is 21.
Step-by-step explanation:
Mean of 5 peoples = 39
i.e.
Sum / 5 = 39
Sum = 39 x 5
Sum = 195
Mean after one person enters the room = 36
Let x be the age of the new person.
Then
Mean = (Sum + x)/ 6
36 = (195 + x)/6
36 x 6 = 195 + x
216 = 195 + x
x = 216 - 195
x = 21
simplify 6z + 9 + 3z + 2
Answer:
9z + 11
Step-by-step explanation:
6z + 9 + 3z + 2
9z + 9 + 2
9z + 11
Answer:
9z+11
Step-by-step explanation:
6z+9+3z+2
(6z+3z)+(9+2)
9z+11
Lily bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37 gummy bears, how many were originally in the bag?
PLZ GIVE ME STEP BY STEP EQUATION ASAP!!
Answer: 63 total gummy bears
Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63
Equation= 37 - 16 x 3= 63
Let that be x
[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]
[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]
[tex]\\ \rm\rightarrowtail x/3=21[/tex]
[tex]\\ \rm\rightarrowtail x=21(3)[/tex]
[tex]\\ \rm\rightarrowtail x=63[/tex]
What is the slope of the line that goes through
(2,-2) and (-1, 1)?
Answer:
m = -1
Step-by-step explanation:
use the slope formula so m = 1- -2 / -1 - 2
m = 1+2/-3, m=3/-3 so m = -1