pls do this thankuso much
Ans: D
differentiate sinx=cosx and differentiate x=1
:)
Please help: write each equation in exponential form
Answer:
\(4^{4}=256\)
Step-by-step explanation:
Rewrite log4256=4 in a different form:
\(4^{4}=256\)
3x - 5 =35 what is x ?
Answer:
x=403
Step-by-step explanation:
Let's solve your equation
Hey there! I'm happy to help!
We want to get x all by itself on one side to find out what it is equal to.
We add 5 to both sides.
3x=40
And we divide both sides by 3.
x=13 1/3
Have a wonderful day! :D
Find the center and radius of the circle represented by the equation below.
Answer:
centre = (5, - 6 ) , radius = 7
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )
x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )
x² - 10x + y² + 12y = - 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36
(x - 5)² + (y + 6)² = 49 = 7² ← in standard form
with centre (5, - 6 ) and radius = 7
Answer:
Center = (5, -6)
Radius = 7
Step-by-step explanation:
To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.
To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:
\(x^2-10x+y^2+12y=-12\)
Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:
\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)
Simplify:
\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)
\(x^2-10x+25+y^2+12y+36=-12+25+36\)
\(x^2-10x+25+y^2+12y+36=49\)
Factor the perfect square trinomials on the left side:
\((x-5)^2+(y+6)^2=49\)
The standard equation of a circle is:
\(\boxed{(x-h)^2+(y-k)^2=r^2}\)
where:
(h, k) is the center.r is the radius.Comparing this with the rewritten given equation, we get
\(h = 5\)\(k = -6\)\(r^2 = 49 \implies r=7\)Therefore, the center of the circle is (5, -6) and its radius is r = 7.
-1/4 plus 3/5
Answer or else
The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.
To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.
The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:
-1/4 = -5/20
3/5 = 12/20
Now that the fractions have the same denominator, we can add them:
-5/20 + 12/20 = (-5 + 12)/20 = 7/20
Therefore, -1/4 + 3/5 is equal to 7/20.
To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the final answer is 7/20.
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How do you answer these questions? How do you know whether a given value is a solution to the inequality?
We have the following inequality:
x > - 0.75
This is the same as state "x is greater than -0.75". Therefore, any value greater than -0.75 is a solution to this inequality
Considering this rule, we can answer each item:
a) The statement "-0.75 is a solution to the inequality" is FALSE, because, or rule states that x must be greater than -0.75.
b) The statement "There are many solutions to this inequality" is TRUE. Actually, there is an infinite number of solutions to this inequality (some of them can be expressed by -0.74, -0.73, -0.72...)
c) The statement "All the solutions to the inequality are negative" is FALSE, since any positive (or null) number is also greater than -0.75.
d) The statement "The inequality -0.75 < x is equivalent to the given inequality" is TRUE, since this inequality is tha same as the statement "-0.75 is less than x", which is a different form of express the original statement "x is greater than -0.75".
e) The statement "-4.5 is a solution to the inequality" is FALSE, because -4.5 is less than -0.75, which contradicts or rule.
The population of bats in a large cave is 7000 and is growing exponentially at 14% per year. Write a function to represent the population of bats after
tt
t years, where the monthly rate of change can be found from a constant in the function.
Answer:
y=7000+14^t
Step-by-step explanation:
This equation shows that the original population of bats was 7000 and grows exponentially at a rate of 14% per year.
I put the graph below so you can see it.
In this exercise we have to identify how to write an exponential function from the data informed in the text, in this way we find that:
\(y=7000+14^t\)
From the information given in the statement we find that:
The original population of bats was 7000Rate of 14% per year.Then writing this function as:
\(y=7000+14^t\)
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PLEASE HELP WILL GIVE BRANLIEST AND 50 POINTS
Answer:
it is 1-2 the second one
explanation:
give me brainiest i answered it
With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just
1
3
of a day. At what rate does this bamboo grow?
Answer:
90
Step-by-step explanation
Answer:
90
Step-by-step explanation:
Simplify please quick:
3x4=12-6
Answer:
Step-by-step explanation:
3 * 4 = 12 - 6
12 = 6
This statement is false
Answer:
False.
Explanation:
3 * 4 = 12 -6
12 = 6
...............
False, the sides are not equal.
Chelsea is filling a kiddie pool with water. For every
9
9
gallons of water she uses the pool fills
4
4
inches high.
If Chelsea wants to fill the pool to
15
15
inches, how many gallons of water will she use?
Chelsea will use
Answer:
33.75 gallons
Step-by-step explanation:
Determine how high the pool fills with one gallon
How high the pool fills with one gallon = 4/9 = 0.444444
The gallons needed to get the water to be 15 inches = 15 inches / 0.44 = 33.75 gallons
Find the measure of AB.
20,
E
61%
D
B
A
21. B
65°
D
C
22. A
B
E
D
91
To find the measure of angle AB, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Given:
Angle A = 65 degrees
Angle B = 91 degrees
We can subtract the sum of these two angles from 180 degrees to find angle AB:
Angle AB = 180 - (Angle A + Angle B)
Angle AB = 180 - (65 + 91)
Angle AB = 180 - 156
Angle AB = 24 degrees
Therefore, the measure of angle AB is 24 degrees.
1. number 5 added to three times the product of M and N.
2. product of number Y and Z subtracted from 10.
3. sum of number X and Y subtracted from their products.
4. workings pls
Answer:
a) 5 - mn
Step-by-step explanation: its correct
In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?
Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
Simplify the expression below by following the order of operations and combining like terms. Do not put spaces between characters. \frac{a}{2^3}(64)-12a \div6 The expression simplifies to:
ANSWER
6a
EXPLANATION
\(\frac{a}{2^3}(64)-12a\div6\)The order of operations is always the same:
0. Parenthesis
,1. Exponents (include powers and roots)
,2. Multiplications and divisions
,3. Additions and subtractions
Let's take a look at the given expression. We have two terms - which are separated by a minus sign. In the first term there's a parenthesis so we have to solve what's inside first. Note that what's inside the parenthesis is just a number, no operation to be done. Therefore for the first step we have:
\(\frac{a}{2^3}\times64-12a\div6\)Now, again in the first term there's an exponent in the denominator. We have no exponents in the second term. Solving 2³ = 8:
\(\frac{a}{8^{}}\times64-12a\div6\)The third operations to solve are multiplications and divisions. We have many of those, but since we have a variable a, it is convenient if we solve the division first in the first term:
\(a\times\frac{64}{8}=a\times8\)And the division of the second term:
\(12a\div6=(12\div6)a=2a\)Therefore after solving the third operations we have:
\(8a-2a\)Now we do the subtraction. As mentioned before, there's a variable involved so to solve the subtraction we have to combine like terms. In this case, both terms contain the variable so we take it as common factor:
\(a(8-2)\)And solve the operation inside the parenthesis:
\(a\cdot(6)=6a\)Hence, the expression simplifies to 6a
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
Answer:
1/3
Step-by-step explanation:
Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric
does she need if she buys of a yard of each pattern?
patterns
Answer:
Step-by-step explanation:
Answer: 36
Step-by-step explanation: Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys
1
4
of a yard of each pat
patterns
An 8-sided number cube is rolled 4000 times. The number 2 appeared 200 times. Determine the theoretical and experimental probability of rolling a 2 in order to determine the fairness of the number cube. Drag values or words to the boxes to correctly complete the statements.
Theoretical Probability of rolling a 2= 1/20
Experimental Probability of rolling a 2 = 1/20
Theoretical probability of rolling a 2:
The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:
Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20
Experimental probability of rolling a 2:
The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the event is rolling a 2, which occurred 200 times out of 4000 rolls.
Therefore, the experimental probability of rolling a 2 is:
Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20
Comparing theoretical and experimental probability:
If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.
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Mr. Washington purchased three cell phones. Each cell phone cost one hundred fifty dollars. What is the total she paid for the cell phones?
Answer:
The answer is $450
Step-by-step explanation:
You need to do 150+150+150=450
or
150x3=450
Use the formula S=n(n+1)/2 to find the sum of 1+2+3+...+600
1+2+3+...600=
Answer:
eueueue
Step-by-step explanation:
Which expression is equivalent to
6^0 * 6^5/6^4
Step-by-step explanation:
\( = \frac{ {6}^{0} \times {6}^{5} }{ {6}^{4} } \)
\( = {6}^{0 + 5 - 4} \)
\( = {6}^{1} \)
\( = 6\)
Help with numbers 5-10
the answer of this equation is -5
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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Abe purchased a second candle that is shorter with a wider diameter than the first candle. It is 8 inches in length, and this candle burns down at the rate of 2/5 inches per hour. How long can this candle burn before its length is zero inches?
Answer: The second candle can burn for 20 hours before its length is zero inches.
Step-by-step explanation:
If the second candle is 8 inches in length and burns down at a rate of 2/5 inches per hour, we can use a simple formula to find how long it can burn before its length is zero inches:
Number of hours = Length ÷ Rate of burn
Number of hours = 8 inches ÷ (2/5 inches per hour)
Number of hours = 8 inches × (5/2) hours per inch
Number of hours = 20 hours
Therefore, the second candle can burn for 20 hours before its length is zero inches.
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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please help I will give a lot of points
btw its 2 questions
Answer:
please wait two mins I will give you the answer, but which question 2 or 3
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can hold at most 130 people. The drama club must make no less than $900 from ticket sales to cover the show's costs. If
x
x represents the number of student tickets sold and
y
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is:
5x + 10y ≥ 900 (total ticket sales must be at least $900)
x + y ≤ 130 (total number of tickets sold must be at most 130)
One possible solution is x = 70 (student tickets) and y = 60 (adult tickets).
To write a system of inequalities based on the given information, we can consider the revenue from ticket sales and the seating capacity of the auditorium:
Let x represent the number of student tickets sold, and y represent the number of adult tickets sold.
Revenue inequality:
The drama club must make no less than $900 from ticket sales, so the revenue equation is: 5x + 10y ≥ 900. This equation ensures that the total revenue from ticket sales is at least $900.
Seating capacity inequality:
The auditorium can hold at most 130 people, so the total number of tickets sold cannot exceed this limit: x + y ≤ 130.
To solve this system of inequalities graphically, we plot the inequalities on a graph. The shaded region where the inequalities overlap represents the feasible region or the possible solutions.
One possible solution within this feasible region could be x = 70 (student tickets) and y = 60 (adult tickets). This combination satisfies both inequalities and fulfills the revenue requirement of at least $900.
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5/100 in simplest form
Answer:1/20
Step-by-step explanation:
trust
Answer:
1/20
Step-by-step explanation:
5 divided by 100 is =20
5divided by 5 is =1
=1/20
A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
He got an 80 percent.
Step-by-step explanation:
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation: