Step-by-step explanation:
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.
Evaluate the expression 2
2^5 = 32
Hope this helps! :)
Answer:
32
Step-by-step explanation:
[tex]2^{5}[/tex]
= 2 × 2 × 2 × 2 × 2
= 4 × 4 × 2
= 16 × 2
= 32
I don’t know the answer so ignore the checked box
Answer:
CDHG
Step-by-step explanation:
Because you can go in that order and be able to get to the next letter. In the other option you cannot
There is the photo and the question
please show the working.
Find the x of a triangle.
This triangle is an isosceles triangle because it has two congruent sides. Therefore, the two bottom angles are also congruent. And, the sum of the interior angles of a triangle is 180 degrees.
180 = 104 + (9x - 25) + (9x - 25)
180 = 104 + 18x - 50
180 = 54 + 18x
126 = 18x
x = 7
Hope this helps!
answer asap --------------
Answer:
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
Step-by-step explanation:
This is a geometric sequence with explicit formula
h(n) = h(1) [tex](r)^{n-1}[/tex]
where h(1) is the first term and r the common ratio
Here h(1) = - 5.3 and r = - 11 , then
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
1. Another way to think of your net earnings is
the overtime request
the employee discount
the quota that is filled
the amount of your paycheck
Answer:
amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at a rate of 3 cm/min, the height of the box is 5 cm, and the height is decreasing at a rate of 1 cm/min.
A.The volume of the box is decreasing at a rate of 200 cm3/min.
B.The volume of the box is increasing at a rate of 400 cm3/min.
C.The volume of the box is decreasing at a rate of 400 cm3/min.
D.The volume of the box is increasing at a rate of 200 cm3/min.
Answer:
aaaaa.List down 5 steps in creating 3d Model
digitally enhanced product design for a
paper bag.
1.__________________________________
2.__________________________________
3.__________________________________
4.__________________________________
5.__________________________________
MNPQ is a rectangle. Find the measure of <1 and <2
Answer: ∠1 = 48°, ∠2 = 42°
Step-by-step explanation:
Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal. NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°
2x + 20 + 3x = 90
2x + 3x = 90 - 20
5x = 70
x = 14
Because ∠1 = (2x + 20)°,∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°
Because ∠2 = (3x)°,∠2 = 3x = 3(14) = 42°
(I hope this is right :\)
look at the image for the question and the answers
Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"
A sweater is on sale for $45.00, down from $75.00. What is the
percent of discount of the sweater?
A. 50%
B. 30%
C. 55%
D. 40%
Answer:
D
Step-by-step explanation:
The percentage of discount on the sweater will be 40%. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-
Percentage discount = (75 - 45) / 75
Percentage discount = ( 30 / 75 )
Percentage discount = 0.4 x 100 = 40%
Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ5
express 26 divide 4 +root3 in form a +b root3 where a and b are integres
Answer:
8 - 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]
To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.
Rationalizing the denominator, we have;
[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex] = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]
= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]
= [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]
= 2(4 - [tex]\sqrt{3}[/tex])
= 8 - 4[tex]\sqrt{3}[/tex]
The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]
If 5 ^ (3k - 1) - 5 ^ (b - 3) , what is the value of b?
Answer:
-1
Step-by-step explanation:
1. Sets the exponents equal
3b-1 = b-3
2. collect like terms and calculate it
3b-b=1-3
2b= -2
(divide both side by 2)
b=-1
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answer:
a²+b²-18greaterthan or equal to 6a-6bHELP MEEE QUICK THIS MY LAST QUESTION!!!
Question 10 of 10
Is APQR- AXYZ? If so, name which similarity postulate or theorem applies.
80
Q
180°
P
5
R
х
10
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
Ο Ο
D. Cannot be determined
SUBMIT
Answer:
A. Similar - AA
Step-by-step explanation:
The given parameters of ΔPQR and ΔXYZ are;
In ΔPQR, we have; PQ = 3, PR = 5, and ∠PQR = 80°
In ΔXYZ, we have; XY = 6, XZ = 10, and ∠XYZ = 80°
In ΔPQR, by sine rule, we have;
3/(sin(∠PRQ)) = 5/(sin(80°))
sin(∠PRQ) = (3/5) × sin(80°)
∴ ∠PRQ = arc sin((3/5) × sin(80°))
In ΔXYZ, by sine rule, we have;
6/(sin(∠XZY)) = 10/(sin(80°))
sin(∠XZY) = (6/10) × sin(80°) = (3/5) × sin(80°)
∴ ∠XZY = arc sin((3/5) × sin(80°))
∠PRQ = ∠XZY by transitive property of equality
Therefore in ΔPQR and ΔXYZ, we have;
∠PRQ = ∠XZY and ∠PQR = ∠XYZ
Therefore, ΔPQR is similar to ΔXYZ by Angle Angle, AA, similarity postulate.
someone help me with my algebra homework please
Answer:
15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
5a - 10b = 45
b = 3
Step 2: Solve for a
Substitute in b [Equation]: 5a - 10(3) = 45Multiply: 5a - 30 = 45[Addition Property of Equality] Add 30 on both sides: 5a = 75[Division Property of Equality] Divide 5 on both sides: a = 15Answer:
a=3
Step-by-step explanation:
5a-10b=45
when b=3
5a-10×3=45
5a-30=45
collect like terms
5a=45-30
5a=15
a=3
x^4+64 will be the perfect square by adding
Answer:
[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]
+16x² or -16x² is the answerSOMEONE PLEASE HELP ME OUT!!!!
Answer:
40/30
Step-by-step explanation:
Since tan∅= o/a, 40 is opposite, and 30 is adjacent to angle A, 40/30 is the ratio for tanA.
Answer:40/30
Step-by-step explanation:
....
rationalization
[tex] \frac{6}{ \sqrt{3} } [/tex]
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
Which fraction is the largest? 7/9 3/4 1/2 2/3
Rewrite the fractions as decimals by dividing:
7/8 = 0.7777
3/4 = 0.75
1/2 = 0.5
2/3 = 0.666
0.777 is the largest number so 7/9 is the largest fraction.
Answer: 7/9
Answer:
2/3
Step-by-step explanation:
L.C.M:36
7/9:28/36
3/4:27/36
1/2:1836
2/3:36/36
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
. JUST LOAD
Step-by-step explanation:
(9-3)+18÷9
show your work
(9-3)+18÷9
= 6+18÷9
= 6+2
= 8
Answer:
8
Step-by-step explanation:
Well, we need to use order of operations. Since there are parenthesis, we solve what is inside that first. So, 9-3=6. We have solved one part of the equation. There are no exponents so division comes next. 18/9=2. Now we are left with 6+2. 6+2=8. Therefore, your final answer is 8.
If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answer:
B. 50 poundsStep-by-step explanation:
Set the equation and solve for x:
300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 poundsCorrect choice is B
Write an
equivalent expression by distributing the "_" sign outside the parentheses:
-(2h + 9.6k) + 1
Answer:
On distributing the - sign outside the parenthesis we get,
-2h - 9.6k + 1
Does anyone know this
The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.
Area of each square: 10 x 10 = 100
2 x 2 = 4
Total area = 109 + 4 = 104 square ft.
(iii) If a, b, c are rational numbers, then
a x (b-c) #ax b-ax c. true or false
Answer:
false
Step-by-step explanation:
answer:ab-ac=ab-ac
You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded
Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
Answer:
1.25% and 16 times
Step-by-step explanation:
find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16
Step-by-step explanation:
given the geometric sequence 2, -4, 8, -16, ...
a1 = 2
r = -4/2 = -2
find : a9 and a15
solutions:
an = a1. r^(n-1)
=> a9 = 2. (-2)^(9-1)
= 2. (-2)^8
= 2. 2^8
= 2^9
= 512.
=> a15 = 2. (-2)^(15-1)
= 2. (-2)^14
= 2. 2^14
= 2^15
= 32,768
Step-by-step explanation:
Hey there!
The given geometric sequence is: 2, -4, 8, -16.
The;
a1 = 2
Common ratio (r) = T2/T1
= -4/2
= -2
Now;
Use general formula of geometric sequence;
[tex]tn = {a1.r}^{n - 1} [/tex]
Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.
Then;
[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]
or, t9 = 2*256
Therefore, t9 = 512.
Again;
[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]
or, t15= 2*16384
Therefore, t15 = 32768.
Hope it helps!
Which of the following is the function for the graph shown?
Answer:
D
Step-by-step explanation:
The zeros from the graph, where it crosses the x- axis are
x = - 2 and x = 3 , then the corresponding factors are
(x + 2) and (x - 3) , then
y = a(x + 2)(x - 3) ( where a is a multiplier )
To find a substitute any point on the graph into the equation
Using (0, - 6 )
- 6 = a(0 + 2)(0 - 3) = a(2)(- 3) = - 6a ( divide both sides by - 6 )
1 = a
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
Quadratic equation with root 1 is :-(A) 2x ^ 2 + x - 1 = 0 (B) 2x ^ 2 - x - 1 = 0 (C) 2x ^ 2 + x + 1 = 0 (D) 2x ^ 2 - x + 1 = 0
Answer:
option b is correct
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