Answer:
It's false, this number is a rational number.
Step-by-step explanation:
It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:
7/9 = 0.7777...
The statement is false. The number 0.7777 repeating is not an irrational number, but a rational number, as it can be expressed as the fraction 7/9.
Explanation:The statement is false. The number 0.7777 repeating is not an irrational number. An irrational number is a number that cannot be expressed as a/b, where a and b are integers and b ≠ 0. However, the number 0.7777 repeating can be expressed as a fraction, specifically, as 7/9. Therefore, it does not meet the definition of an irrational number and is, in fact, a rational number.
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Lucy invested $30,000 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 9 years?
Answer:
A≈54300
Step-by-step explanation:
To calculate the final amount in the bank account, we can use the formula A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years. By substituting these values into the formula and evaluating the expression, the final amount in the account after 9 years is approximately $53,509.79.
Explanation:To calculate the final amount in the bank account, we can use the formula: A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years.
First, we need to convert the interest rate to a decimal by dividing it by 100: 6.6% = 0.066. Then, we can substitute the values into the formula: A = 30000(e0.066*9)). Using a calculator, we can evaluate this expression to get the final amount, which is approximately $53,509.79.
Please. Help me answer this question.
If 5 coins are tossed together, then find the probability of getting more tails than
heads.
Answer
5
Step-by-step explanation:
Answer: It is a 50% chance to get more tails than heads
Step-by-step explanation:
Prompt
Describe a simulation used to determine a game of darts.
Answer:
anonymous simulation
Answer:
Anonymous simulation would be used to determine a game of darts.
Step-by-step explanation:
got this correct on EDGE2021
The length of a rectangle is nine inches more than its width. Its area is 850 square inches. Find the width and length of the rectangle.
Answer:
width= 25 inches
length= 34 inches
Step-by-step explanation:
width x length = 850 in²
w x (9+ w ) = 850 in²
9w+ w²=850 in²
9w + w²-850 =0
solve for w using quadratic formula
w= {-9 ±√(9)²-4(1)(-850)} ÷2(1)
w= 25; -34
The width is 25 because measurements can't be negative.
width= 25
length= 25+9=34
The label on Adriana's carton of juice has this information listed. One serving size equals 12 cup. Each serving has 30% of the recommended daily amount of vitamin C. Yesterday, Adriana drank 214cups of juice. What percent of the recommended daily amount of vitamin C was in the juice Adriana drank yesterday? 33.75% 67.5% 120% 135%
Answer:
135%
Step-by-step explanation:
we know that
One serving size equals 1/2 cup. Each serving has 30% of the recommended daily amount of vitamin C.
step 1
Using proportion
Find out the number of servings if Adriana drank 2 1/4 cups of juice
so
[tex]\frac{1}{\frac{1}{2}}=\frac{x}{2\frac{1}{4}}[/tex]
Convert mixed number to an improper fraction
[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]
substitute in the proportion
[tex]\frac{1}{\frac{1}{2}}=\frac{x}{\frac{9}{4}}\\\\x=\frac{(9/4)}{(1/2)}\\\\x=4.5\ servings[/tex]
step 2
we know that
Each serving has 30% of the recommended daily amount of vitamin C.
so
Multiply the number of servings by 30%
[tex]4.5(30\%)=135\%[/tex]
The diagram shows a square with a perimeter of 40 cm
Answer:
10cm
Step-by-step explanation:
If you are asking what is the length of each side?
The answer is simple first divide the total perimeter by the number of sides.(ONLY FOR A SQUARE) then you get your length.
the answer choices are
median & mode ?
mean
mode
median
Answer:
median
Step-by-step explanation:
Answer:
A) Median and Mode
Step-by-step explanation:
Step 1: Write all of the numbers in numeric order
3, 4, 5, 5, 7, 9, 19
Step 2: Find the number you are looking for (5).
3, 4, 5, 5, 7, 9
Step 3: Eliminate answer choices.
Median and mode? Yes.
Mean ( Adding all the numbers and dividing it by however many numbers there are )? No.
Mode ( a number that appears most frequently )? Yes, but the answer is A.
Median ( When you put them in order the number in the middle)? Yes, but the answer is A.)
A 3 cm * 3 cm rectangle sits inside a circle with radius of 4 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
44.24
Step-by-step explanation:
Khan academy
Answer:
Step-by-step explanation:
Enter the equation of the circle with C(5, -13) and radius r = 36.
Answer:
(x+3)²+y²=36
Step-by-step explanation:
The equation of a circle is
( x − h ) ² + ( y − k ) ² = r ² , where ( h , k ) is the center and r is the radius.
If the center is at ( − 3 , 0 ) and the endpoint of the radius is at ( 3 , 0 )
, then the length of the radius is the distance between the two points, which is 3 − ( − 3 ) = 6 .
We can substitute
(
−
3
,
0
)
for
(
h
,
k
)
, and
6
for
r
.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(
x
−
(
−
3
)
)
2
+
(
y
−
0
)
2
=
6
2
(
x
+
3
)
2
+
y
2
=
36
What is the anwser to the problem 9×7
Answer:
63
Step-by-step explanation:
please mark branliest answer
Answer:
63
Step-by-step explanation:
Alexa is pushing a construction barrel up a ramp 4 feet long into the back of a truck. She is using a force of 120 pounds in a horizontal direction and the ramp is 45 degrees from the horizontal. How much work is Alexa doing?
Answer:
Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.
Step-by-step explanation:
Work done is defined as the dot product of Force and displacement i.e.
W = F.d
Expanding the dot product, we get:
W = Fd cos(Ф)
Here,
W is the amount of work done, F is the Force applied, d is the displacement and Ф is the angle made by Force F with the horizontal. If we observe the given statement we can clearly see that:
Force applied = F = 120 pounds
Displacement = d = 4 feet
Angle of F with horizontal = Ф = 45 degrees
Substituting the values in the formula we get:
W = 120 x 4 x cos(45)
W = 339.41 foot-pound
This means, Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.
Final answer:
Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up a 4-foot ramp at a 45-degree angle, calculated using the cosine of the angle to find the component of the force parallel to the direction of motion.
Explanation:
To calculate the work done by Alexa, we need to consider the component of the force she exerts that is parallel to the direction of motion up the ramp. Since the force exerted is in the horizontal direction and the ramp is at a 45-degree angle to the horizontal, we use the cosine of the angle to find this component. The formula for work is:
Work = Force × Distance × cos(θ)
Where the force is 120 pounds, the distance is 4 feet, and θ (theta) is the angle of the ramp, which is 45 degrees.
The component of the force parallel to the ramp is 120 pounds × cos(45°) = 120 pounds × 0.7071 (since the cosine of 45 degrees is √2/2, which approximately equals 0.7071).
The work performed by Alexa is:
Work = 120 pounds × 0.7071 × 4 feet × = 339.325 pounds-feet
Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up the ramp.
determine which of the following are functions. select all that apply
Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
In option (A) ;
For every single unique input, there is single unique output so it will function.
In option (B) ;
Here for x = 0,2 and y = 5 so it means for two inputs one output so it will not be a function.
In option (C) ;
For x = 0 , y = 2 , 4 so two output for one input it means it is also not a function.
In option (D) ;
y = -4x² + 45x 9 it gives one input for one output.
Hence "Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function".
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Given question is incomplete so image has been attached
What is the equation of a line that is parallel to y=0.6x + 3 and passes through the point (-3,-5)
Answer:
y=0.6x-3.2
Step-by-step explanation:
Which irrational number can be added to Pi to get a sum that is rational?
StartFraction 1 Over pi EndFraction
Negative StartFraction 1 Over pi EndFraction
Negative pi
Pi
Answer:
C negitive pi
Step-by-step explanation:
Have a great day!
The irrational number can be added to Pi to get a sum that is rational is negative pi.
We have given that StartFraction 1 Over pi EndFraction
Negative StartFraction 1 Over pi EndFraction
Negative pi
Pi
We have to determine the irrational number that can be added to Pi to get a sum that is rational.
What is the irrational number?
The irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Therefore the irrational number can be added to Pi to get a sum that is rational is negative pi.
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On a coordinate plane, 2 lines are shown. The first solid straight line has an equation of y greater-than-or-equal-to negative one-fifth x + 1, has a negative slope, and goes through (negative 5, 2) and (0, 1). Everything above the line is shaded. The second dashed solid line has equation y less-than 2 x + 1, has a positive slope, and goes through (negative 2, negative 3) and (0, 1). Everything to the right of the line is shaded. Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer:
The answers are (1,1) and (2,2) or C and E
Step-by-step explanation:
Just did it on edge 2021
The ordered pairs are (1,1) and (2, 2).
What are ordered pairs?In arithmetic, an ordered pair is a pair of gadgets. The order in which the items appear in the pair is good-sized: the ordered pair is different from the ordered pair except for a = b. Ordered pairs also are known as 2-tuples, or sequences of period 2.
What are ordered pairs examples?An ordered pair is a pair of numbers in a specific order. for instance, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is crucial: (1, 2) isn't equal to (2, 1) -- (1, 2)≠(2, 1)
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The sum of the measures of a regular 25 sided polygon is 4140 degrees. What is the measure of each interior angle?
Answer: 165.6
Step-by-step explanation:
The formula for finding the interior angle of a polygon is
= (2n - 4) x right angle
= (2n - 4)90 ,or
(n - 2)180
Now since the sum total of the interior angle of the 25 sided regular polygon = 4140 using the formula above,
Therefore, the value of each of the interior angle will be
= 4140/25
= 165.6
Final answer:
Each interior angle of a regular 25-sided polygon, with sum of the interior angles at 4140 degrees, measures 165.6 degrees.
Explanation:
The sum of the measures of a regular 25-sided polygon is 4140 degrees. To find the measure of each interior angle of a regular polygon, we use the formula:
(n - 2) × 180° = Sum of interior angles,
where n is the number of sides in the polygon. Since we are given that the sum of the interior angles is 4140 degrees for a 25-sided polygon, we can plug in the values into our formula:
(25 - 2) × 180° = 4140 degrees,
which simplifies to:
23 × 180° = 4140 degrees.
This confirms the given sum of the interior angles. To find the measure of one interior angle, we divide the sum by the number of angles:
4140 degrees ÷ 25 = 165.6 degrees.
So the measure of each interior angle in a regular 25-sided polygon is 165.6 degrees.
What is the value of z in 1/4 raised to the 3z-1 = 16 raised to the z+2 times 64 raised to the z-2
Answer:
3/8
Step-by-step explanation:
In terms of powers of 4, we have ...
(4^-1)^(3z -1) = (4^2)^(z+2)×(4^3)^(z-2)
Taking logarithms base 4*, we have ...
-(3z -1) = 2(z +2) +3(z -2)
-3z +1 = 5z -2 . . . . simplify
3 = 8z . . . . . . . . . . add 3z+2
z = 3/8 . . . . . . . . . .divide by 8
_____
* This is equivalent to equating exponents of the same base. You're making use of the rules of exponents ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
1/a = a^-1
and the logarithm relations ...
logb(b^x) = x
log(xy) = log(x) +log(y)
Factor the expression.
k2 + 20k + 100
Answer:
( k + 10 ) ( k + 10 )
Step-by-step explanation:
k² + 20k + 100
( k + 10 ) ( k + 10 )
( k + 10 )²
k = -10
Can I get brainliest.
k + 22 = 29
Solve the equation.
Look at the attached picture⤴
Hope it will help u...
Answer:
k=7
Step-by-step explanation:
To solve, we need to isolate the variable: k
k +22 =29
Subtract 22 from both sides to "reverse" the addition
k+22=29
-22 -22
k=7
what’s the answer is ?
Answer:
A. Tina + 2 = Tony
Step-by-step explanation:
You're only adding 2 since Tina's brother is 2 years older than her.
Answer:
A: Tina +2 = Tony
Step-by-step explanation:
Since TINA is 2 years OLDER than TONY. You need to add 2 to Tina's age to get Tonys'
what is the answer to the equation |n-6|+8=22
Answer:
n=20,−8
Step-by-step explanation:
the diameter of a clock’s face is 6 inches. find the length of the minor arc formed my the hands of the clock at 4:00.
please help!
Answer:
4:30
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A right triangle has a height of 20 centimeters and a base of 10 centimeters. What is the area of the triangle?
Answer:
100 cm^2
Step-by-step explanation:
The formula for triangle area is L x W / 2.
20 x 10 = 200
200 / 2 = 100
Answer:
100
Step-by-step explanation:
the area is given by half base times height and we are already given the base and the height so take a half times 10 times 20 .
In ΔDEF, the measure of ∠F=90°, the measure of ∠E=79°, and EF = 23 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
120.4ft
Step-by-step explanation:
Find the diagram in the attachment.
The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.
To get DE, we will use the SOH CAH TOA trigonometry identity
Using CAH which is defined as:
Cos(theta) = Adjacent/Hypotenuse
Cos 79°= 23/Hypotenuse
Hypotenuse = 23/cos79°
Hypotenuse = 23/0.191
Hypotenuse = 120.4feet
DE = 120.4feet (to nearest tenth)
Answer:
Step-by-step explanation:
The triangle DEF is right angle triangle
The missing F
F=90 E=79 = 11
E=79 EF= 23
Find the Length of DE to the nearest tenth of a foot
if there are 10 girls and 15 boys, what is the ratio of boys to girls
Answer:
15:10 or 3:2
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
15:10
=3:2
Solve the equation.
- 2c + 6 = -8
Answer:
7
Step-by-step explanation:
We need to isolate the variable:
-2c + 6 = -8
-2c + 6 - 6 = -8 - 6
-2c = -14
-2c/-2 = -14/-2
c = 7
Thus, c = 7.
Hope this helps!
Method:
-2c+6=-8
-6 -6
-2c=-14
/-2 /-2
Answer:c=7
A jewellery shop sells 240 neck less in a month.180 of the neck less were sold via the shop website, the rest were sold in a high street shop. work out the ratio of online sales to shop sales.
Answer:
The ratio is 3:1
Step-by-step explanation:
Let
x --->number of neck less sold via the shop website
y --->number of neck less sold in a high street shop
we know that
To find out the ratio of online sales to shop sales, simply divided the number of neck less sold via the shop website by the number of neck less sold in a high street shop
so
[tex]ratio=\frac{x}{y}[/tex]
we have
[tex]x+y=240[/tex] ----> equation A
[tex]x=180[/tex] ---> given value
substitute the value of x in the equation A
[tex]180+y=240[/tex]
solve for y
[tex]y=240-180=60[/tex]
Find the ratio
[tex]ratio=\frac{180}{60}[/tex]
[tex]ratio=\frac{3}{1}[/tex]
John determined that the unit rate for his trip to Orlando was 70 miles every 2 hours. Why is John's determination incorrect? Calculate the actual unit rate for his trip.
Answer:
John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).
The actual unit rate for his trip is v;
v = 70 miles ÷ 2 hours
v = 35 miles per hour
v = 35mph
Step-by-step explanation:
Given;
John travels 70 miles in 2 hours
John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).
The actual unit rate for his trip is;
v = 70 miles ÷ 2 hours
v = 35 miles per hour
v = 35mph
Please help me with these square root problems, Part 1. Please show and check the work.
[tex]1. \sqrt{2x-5} - \sqrt{x+6} =0\\\\2. \sqrt{2x-5} + \sqrt{x+6}=0\\ \\3. \sqrt{x-5} - \sqrt{x+6}= 2\\ \\4. \sqrt{2x-5} -\sqrt{x+6}=2[/tex]
Answer:
x = 11
Step-by-step explanation:
sqrt (2x - 5) = sqrt (x + 6)
Square both sides
2x - 5 = x + 6
x = 11
Verify:
sqrt[2(11) - 5] = sqrt(11 + 6)
sqrt(17) = sqrt(17)
Answer:
x = 11
Step-by-step explanation:
√2x-5 - √x+6 = 0
√2x-5 = √x+6
(√2x-5)² = (√x+6)²
2x - 5 = x + 6
2x - x = 6 + 5
x = 11