Answer:
Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100
Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left. Remember, if you don’t see a decimal, just imagine that it’s at the end, or far right side, of the number. Imagine that the decimal is followed by two zeroes if that helps.
Step-by-step explanation:
Answer:
Converting Percentages to Decimals
Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.
Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left.
hope this helps
can you help me with this
The war of wall | Why is the wall special to the narrator and Lou?
let (-3,-2) be a point on the terminal side of 0. find the exact values of cos0 csc0 and tan0
To find the exact values of cos(0), csc(0), and tan(0) given a point on the terminal side of 0, we can use the coordinates of the point to determine the values of the trigonometric functions.
Explanation:To find the exact values of cos(0), csc(0), and tan(0) given that (-3,-2) is a point on the terminal side of 0, we can use the coordinates of the point to determine the values of the trigonometric functions.
First, we can find the value of cos(0) by dividing the x-coordinate (-3) by the distance from the origin, which is sqrt((-3)^2+(-2)^2). Therefore, cos(0) = -3 / sqrt(13).
Next, we can find the value of csc(0) by dividing 1 by the y-coordinate (-2). Therefore, csc(0) = 1 / -2 = -1/2.
Finally, we can find the value of tan(0) by dividing the y-coordinate (-2) by the x-coordinate (-3). Therefore, tan(0) = -2 / -3 = 2/3.
Given that (-3,5) is on the graph of f(x), find the corresponding point for the function f(x) - 4.
Answer:
(- 3, 1 )
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• if c > 0 then shift up by c units
• if c < 0 then shift down by c units
Thus for f(x) - 4
(- 3, 5 ) → (- 3, 5 - 4 ) → (- 3, 1 )
(PLEASE ANSWER ASAP; WILL MARK BRAINIEST)
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
A) (9, 8)
B) (−6, 3)
C) (−5, −2)
D) (−3, −8)
Good evening ,
Answer:
D.Step-by-step explanation:
______________________________________________________
Note:
if f is a function then each number of the domain has an unique image.
______________________________________________________
since (regarding the table) the image of 9 is 6 then the answer A is wrong
The same apply on answers B and C .
then the right answer is D(-3,-8).
:)
Answer:
dddddddddddddddddd
3n-5=19
Plz give me a step by step explanation cause i already have an answer i just need to work
Answer:
n=8
Step-by-step explanation:
3n-5=19
3n=19+5
3n=24
n=24/3
n=8
An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Solution:
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Identify the equivalent expression for each of the expressions below. (m^(1/3)*1/5
Answer: 1
Anything that goes to the 0 power is always going to be 1
Type the correct answer in each box. Use numerals instead of words.
Consider this quadratic equation.
x^2 + 2x + 7 = 21
The number of positive solutions to this equation is____.
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is____.
Answer:
1 positive solution
2.87.
Step-by-step explanation:
x^2 + 2x + 7 = 21
x^2 + 2x - 14 = 0
The product of its roots = c/a = -14 so it will have 1 positive solution.
x = -2 +/- sqrt (2^2 - 4*-14) / 2
x = -1 +/- sqrt60/2
= -1 +/- 3.873
GreATest solution is 2.87
The cost of cleaning a rectangular ground is $120 per square m. Calculate the price to be paid if theatre length of ground is 145m and breadth is 85m
Answer:
it will cost $ 14,79,000
Step-by-step explanation:
Area of the rectangular theatre ground=L*B= 145*85= 12,325 m²
Cost of cleaning per square metre = $ 120
Total cost of cleaning = $120* 12,325= $ 14,79,000
which system of inequalities is represented by the graph?
Answer:
[tex]y\leq 2x+4[/tex]
[tex]y\geq -x-6[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid line with positive slope
we have the points
(0,4) and (-2,0)
Find the slope
[tex]m=(0-4)/(-2-0)=2[/tex]
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2\\b=4[/tex]
substitute
[tex]y=2x+4[/tex]
step 2
Find the equation of the inequality with positive slope
we know that
The solution of the inequality, is the shaded area below the solid line
so
The equation of the inequality is
[tex]y\leq 2x+4[/tex] ----> inequality A
step 3
Find the equation of the line with negative slope
we have the points
(-6,0) and (-4,-2)
Find the slope
[tex]m=(-2-0)/(-4+6)=-1[/tex]
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=2\\point\ (-6,0)[/tex]
substitute
[tex]0=-(-6)+b[/tex]
solve for b
[tex]0=6+b[/tex]
[tex]b=-6[/tex]
so
The linear equation is
[tex]y=-x-6[/tex]
step 4
Find the equation of the inequality with negative slope
we know that
The solution of the inequality, is the shaded area above the solid line
so
The equation of the inequality is
[tex]y\geq -x-6[/tex] ----> inequality B
therefore
The system of inequalities is
[tex]y\leq 2x+4[/tex] ----> inequality A
[tex]y\geq -x-6[/tex] ----> inequality B
Please help I will mark previous
Answer:
[tex] \frac{5}{16}, \: 31.25\%[/tex]
A flower shop has 11 red roses, 7 pink roses, 9 white he roses , and 3 yellow roses in stock . One type of rose is randomly selected for a flower arrangement. What is the probability they the selected rose is red or yellow.
Answer:
7/15
Step-by-step explanation:
11+7+9+3= 30
11= red
3=yellow
11+3=14
=14/30
=7/15
Answer:
7/15
Step-by-step explanation:
Probability of an event is the number of possible outcome divided by the total outcome. It is a ratio. The probability that an event will or will not happen is 1 as those are the only two possibilities.
Given that the flower shop has 11 red roses, 7 pink roses, 9 white he roses , and 3 yellow roses in stock , the total number of flower available
= 11 + 7 + 9 + 3
= 30 flowers
The probability that a rose selected is ;
red = 11/30
yellow = 3/30
the probability they the selected rose is red or yellow
= 11/30 + 3/30
= 14/30
= 7/15
Each box contains 10 to the power of 2 pencils. The school store has 15 boxes of pencils. How many pencil does the school store have
Answer:
1500
Step-by-step explanation:
10×10=100
100×15=1500
The area of a circle is directly
proportional to the square of its
radius. A circle with a radius of 2
cm has an area of 12.566 cm^2.
What is the radius of a circle with
an area of 78.54 cm^2?
[?] cm
Round to the nearest whole number.
Answer:
[tex]radius=5\ cm[/tex]
Step-by-step explanation:
Let r be the radius of the circle and A be the area of the circle.
Given:
[tex]r_{1} = 2\ cm, A_{1}=12.566\ cm^{2}[/tex]
And [tex]r_{2} = ?, A_{2}=78.54\ cm^{2}[/tex]
The area of a circle is directly proportional to the square of its radius.
A ∝ [tex]r^{2}[/tex]
[tex]A = kr^{2}[/tex]-----------(1)
Where k is the constant of proportionality
Find constant value by substituting [tex]r_{1} = 2\ cm, A_{1}=12.566\ cm^{2}[/tex]
in equation 1.
[tex]A = kr^{2}[/tex]
[tex]A_{1}=k(r_{1})^{2}[/tex]
[tex]12.566=k\times 2^{2}[/tex]
[tex]12.566=k\times 4[/tex]
[tex]k=\frac{12.566}{4}[/tex]
[tex]k=3.141[/tex]
Find [tex]r_{2}[/tex] by substituting k and [tex]A_{2}[/tex] value in equation 1.
[tex]A = kr^{2}[/tex]
[tex]A_{2}=k(r_{2})^{2}[/tex]
[tex]12.566=3.141\times (r_{2})^{2}[/tex]
[tex](r_{2})^{2}=\frac{78.54}{3.141}[/tex]
[tex](r_{2})^{2}=25.004[/tex]
where: 25.004 ≅ 25
[tex](r_{2})^{2}=25[/tex]
[tex]r_{2}=\sqrt{25}[/tex]
[tex]r_{2}=5\ cm[/tex]
Therefore; the radius of the circle is 5 cm.
Final answer:
The radius of a circle with an area of 78.54 cm² is approximately 4 cm, after setting up a proportion with a known circle area and solving for the unknown radius.
Explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given that a circle with a radius of 2 cm has an area of 12.566 cm², we set up a proportion to find the radius of a circle with an area of 78.54 cm²:
(12.566 cm²) / (2 cm)² = (78.54 cm²) / r².
Solving for r, we find r² = (78.54 cm²) × (2 cm)² / (12.566 cm²).
After calculation, we get r approximately equal to 4 cm, rounding to the nearest whole number.
3. Last week Jean ran 2 fewer than 4m miles.
This week she ran 0.5 miles more than last
week. Write and simplify an expression for
the total number of miles Jean ran in the
two weeks.
The total number of miles Jean ran in the two weeks is 4.5 m.
Given that, last week Jean ran 2 fewer than 4m miles.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here,
Number of weeks Jean ran last week = 4-2=2 m
Number of weeks Jean ran this week = 2+0.5
= 2.5 m
Total number miles = 2+2.5
= 4.5 m
Hence, the total number of miles Jean ran in the two weeks is 4.5 m.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Only answer 28 ( I added this parentheses so that the thing would accept my question)
Answer:
(a). Number of protons in a chlorine atom = 17
(b). Atomic number of sodium = 11
Step-by-step explanation:
Let the number of protons in a sodium atom = x
Then, the number of protons in a chlorine atom = x + 6
Now, it is given that the atomic number of an element is equal to the number of protons per atom.
So, atomic number of sodium (Na) = x
Atomic number of chlorine (Cl) = x + 6
It is given that the atomic number of chlorine is 5 less than twice the atomic number of sodium.
∴ atomic number of chlorine (Cl) = 2 × atomic number of sodium (Na) - 5
⇒ x + 6 = 2x - 5
⇒ x - 2x = -5 - 6
⇒ -x = -11
Cancelling the minus sign from both sides, we get
x = 11
(a). Number of protons in a chlorine atom = x + 6
= 11 + 6 (∵ x = 11)
= 17
(b). Atomic number of sodium = x = 11
Max is buying bags of oranges each bag has 8 oranges when he opens the bag he finds that 12 of the total oranges are rotten what are the options for the number of bags he should buy in order to end up at least 40 good oranges
Answer: 7 bags
Step-by-step explanation:
Total no. of oranges rotten - 12
To buy no. of bags to get - at least 40 good oranges
No. of oranges in a bag - 8
40 + 12 = 52 oranges
As each bag contains 8 oranges and 52 is not divisible by 8 we end up taking the closest divisible number that is 54.
If we divide 54 by 8 we get 7.
Hence Max needs to buy 7 bags of oranges.
Note: As they have asked at least 40 good oranges
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the
expression
17. 8(5 - 1)
a. 8 x 5 - 8x1 = 48
b. 85-8x1 - 32
c. 8 x 5-1 - 39
d. 8 % (5 - 1) *8 - 256
To use the Distributive Property on the expression 8(5 - 1), you would multiply 8 by each term inside the parentheses, simplify, and perform the subtraction. The final evaluated result is 32.
Explanation:The problem is asking to use the Distributive Property to simplify the mathematical expression and then evaluate it. The Distributive Property, in basic terms, indicates that multiplication distributes over addition or subtraction. So, for the expression 8(5 - 1), you would apply the Distributive Property as follows:
You multiply 8 by each of the terms inside the parentheses:
8 * 5 - 8 * 1
Then, simplify that expression:
40 - 8
And finally, perform the subtraction:
= 32
So, the equivalent expression is 40 - 8, and the evaluated result is 32.
Learn more about Distributive Property here:https://brainly.com/question/35587796
#SPJ2
Everyone in a class of 30 students takes math and history. Seven students received an A in history and 13 received an A in math, including four that received an A in both courses. How many students did not receive an A in any of these two courses?
Answer:14
Step-by-step explanation:
30 students total.
7 received an a in history.
13 received an a in math.
4 received an a in both courses.
how many students did not receive an a in either course.
20 total received an a in history or math.
of these, 4 received an a in history and math.
those 4 are being counted twice.
once in history and once in math.
you need to subtract 4 from the number who got an a in history or an a in math to get a total of 16 students who got an a in history or in math.
this leaves 30 - 16 = 14 students who did not get an a in either course.
here's the breakdown.
14 students did not get an a in either course.
3 students got an a in history only.
9 students got an a in math only.
4 students got an a in both history and math.
total is 30 students.
Final answer:
To find how many students did not receive an A in either math or history, subtract the sum of students with As in both subjects (after adjusting for 4 students who received an A in both) from the total class size. It is found that 14 students did not receive an A in either subject.
Explanation:
To determine how many students didn't receive an A in either math or history, we can use the principle of inclusion-exclusion. Firstly, we have 30 students in total. We're told that 7 received an A in history and 13 in math, including four students who received an A in both subjects.
To avoid double-counting those four students, we add the number of students who received an A in history to the number who received an A in math, and then subtract the number who received an A in both:
Number of students with A in either subject: 7 (history) + 13 (math) - 4 (both) = 16 students
Then, we calculate the students who did not receive an A in either subject by subtracting those who received an A in at least one subject from the total class size:
Number of students without an A in any course: 30 (total students) - 16 (A in at least one subject) = 14 students
Therefore, 14 students did not receive an A in either math or history.
PLEASE HELP!!!
Acar depreciates at a rate kf 13% per year. the car was originally purchased for 28,000.
1. what is the decay factor of the car?
2. Wrtie a function for this situation with the value if the car as a function of the age of the car in years
3. How much will the car be worth in 6 years?
4. Rewrite the function for question 2 so it is an equivalent function with a negative exponent.
Which of the following options is an equivalent function to f(x) = 4(3)2X?
f(x) = 36
f(x) = 4(9)
f(x) = 144
f(x) = 4(6x)
Answer:
[tex]f(x)=4(6x)[/tex]
Step-by-step explanation:
Given:
the given expression is.
[tex]f(x)=4(3)2x[/tex]
Simplify the given expression.
[tex]f(x)=4(3)2x[/tex]
[tex]f(x)=4(3\times 2x)[/tex]
[tex]f(x)=4(6x)[/tex]
Therefore, the option [tex]f(x)=4(6x)[/tex] is an equivalent function to [tex]f(x)=4(3)2x[/tex].
(Easy Points, Will mark Brainliest) What number is point A on the number line?
Answer:
1/4
Step-by-step explanation:
There are 7 points from 0 to 7/4. This means each point represents 1/4. Therefore A is 1/4
Answer:
1/4
Step-by-step explanation:
If you count back from the 7/4, A will be at the 1/4 point.
Hope this helps :)
On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)
Answer:
y=\frac{5}{3}x-5
Step-by-step explanation:
Rafael is on his way home in his car. His drive is 22 miles long. He has finished one-half of the drive so far, how far has he driven
Answe
Step-by-step explanation:
he has drive 11 miles of his drive
if you divide 22 by 2 it equals 11
3.25x10^-6 written in decimal notation
3.25 x 10^-6 written in decimal notation is 0.00000325
Solution:
Decimal notation is simply a form of a number using a decimal point
Given number : [tex]3.25 \times 10^{-6}[/tex]
Steps to follow:
In order to convert a number written in scientific notation to one written in standard or decinal notation, follow these steps:
Write the given scientific notation numberUse the sign and numerical value of the exponent (power) to determine the direction and number of places to move the decimal place.Move the decimal point to the right if the exponent is positive.Move the decimal point to the left if the exponent is negative.To convert to decimal notation:
Multiply the decimal number by 10 raised to the power indicated.
[tex]\rightarrow 3.25 \times 10^{-6}[/tex]
Here the exponent of 10 is -6
So the decimal point is moved 6 places to right
[tex]\rightarrow 3.25 \times 10^{-6} = 0.00000325[/tex]
Final answer:
To convert the scientific notation 3.25 x 10^-6 into decimal form, you move the decimal point six places to the left, resulting in 0.00000325.
Explanation:
To convert 3.25 x 10^-6 into decimal notation, you need to move the decimal point 6 places to the left because it is a negative exponent. Start with 3.25 and move the decimal:
0.3250.03250.003250.0003250.00003250.00000325The decimal notation of 3.25 x 10^-6 is 0.00000325.
Victor buys some six-packs of soda for a party. He buys 42 cans in all. How many six-packs of soda did Victor buy?
Divide the total number of cans by 6.
42 / 6 = 7
He bought 7 six packs.
Final answer:
Victor bought 7 six-packs of soda.
Explanation:
To find the number of six-packs of soda Victor bought, divide the total number of cans by 6. In this case, Victor bought 42 cans in total, so dividing 42 by 6 gives us 7. This means Victor bought 7 six-packs of soda.
Which expression can be used to find the surface area of the following rectangular prism?
Answer
30+30+15+15+18+18
Step-by-step explanation:
The expression to calculate the surface area of the prism is 2 * (3 * 5 + 3 * 6 + 5* 6)
How to determine the expression of the surface area?The given parameters are:
Length = 3Width = 5Height = 6The surface area of a rectangular prism is:
Area = 2 * (Length * Width + Length * Height + Width * Height)
Substitute known values
Area = 2 * (3 * 5 + 3 * 6 + 5* 6)
Hence, the expression to calculate the surface area of the prism is 2 * (3 * 5 + 3 * 6 + 5* 6)
Read more about areas at:
https://brainly.com/question/24487155
A line passes though the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x2-x1 in the formula m=
Answer:
It has no slope because (x2-x1) in the formula [tex]m=\frac{y2-y1}{x2-x1}[/tex] is equal to zero, and the denominator of a fraction cannot be zero
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
the points (7, 10) and (7, 20)
substitute the values
[tex]m=\frac{20-10}{7-7}[/tex]
[tex]m=\frac{10}{0}[/tex] ----> is undefined
The line has a slope undefined ---> is a vertical line (parallel to the y-axis)
The population of a city is modeled by
P ( t ) = 78 , 300 ( 1.023 ) t
P ( t ) represents the number of people and t is the number of years since 2014.
Approximate the population of the city in the year 2035, rounded to the nearest whole number.
Answer:
the population of the city in the year 2035 is 126,226
Step-by-step explanation:
The population of a city is modeled by
[tex]P(t)= 78300(1.023 )^t[/tex]
P ( t ) represents the number of people and t is the number of years since 2014.
in the year 2014, the year t=0
we need to find the population in the year 2035
2035-2015= 21
so find population when t=21
[tex]P(t)= 78300(1.023 )^t[/tex]
[tex]P(21)= 78300(1.023 )^{21}=126226.36[/tex]
Which number line represents the solution of 5x + 3 ≤ -7? A) A B) B C) C D) D
Answer: x≤-2
Step-by-step explanation: Solve for x. (NUMBER LINE ATTACHED)
Hope this helps you out.
The solution of the inequality is shown in figure.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 5x + 3 ≤ - 7
Now,
Solve the inequality as;
⇒ 5x + 3 ≤ - 7
⇒ 5x + 3 - 3 ≤ - 7 - 3
⇒ 5x ≤ - 10
⇒ 5x/5 ≤ - 10/5
⇒ x ≤ - 2
Thus, The solution of the inequality is;
⇒ x ≤ - 2
Therefore, The solution of the inequality is shown in figure.
Learn more about the inequality visit:
https://brainly.com/question/24372553
#SPJ2
What is 12001 ➗ 4180
Answer:
2.871052631578947
Step-by-step explanation:
this is exactly the answer.