Two large numbers are converted to words. The first is 'nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths' and the second is 'eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths'.
The number 965406000351682.62 in words is nine hundred sixty-five trillion, four hundred six billion, three hundred fifty-one thousand, six hundred eighty-two and sixty-two hundredths.
The number 8591000806.36 in words is eight billion, five hundred ninety-one million, eight hundred six and thirty-six hundredths.
(HELP ASAP!)
Which postulate or theorem proves △HJZ∼△WJR ?
Answer:
SAS Similarity Theorem
Step-by-step explanation:
we know that
SAS Similarity Theorem: States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem
∠HJZ=∠RJW ----> by vertical angles
and
WJ/HJ=JR/JZ
substitute the values
8/4=6/3
2=2 ----> is true
so
Two sides of triangle HJZ are proportional with the two corresponding sides of triangle WJR and the included angle is congruent
therefore
Triangles are similar by SAS Similarity Theorem
Three consecutive integers whose sum is 363.
For this case we must find three consecutive whole numbers whose sum is equal to 363. These numbers should be close to 120. So, these numbers are:
120,121 and 122. If we add them together we have:
[tex]120 + 121 + 122 = 363[/tex]
Answer:
120,121 and 122
[tex]120 + 121 + 122 = 363[/tex]
what what awdddddddddddddddddddd
8,441 ÷ 21
Answer: 401.952380952
Step-by-step explanation:
If the triangles in the figure are similar what is the length of side b?
Answer:
A 36
Step-by-step explanation:
We can determine the scale factor
From triangle ABC BC =9
DEF EF = 90
We multiply by 10
The scale factor is 10
AC ( 10) = DF
We know DF = 360
b * 10 = 360
Divide each side by 10
10b/10 = 360/10
b = 36
The costs of Brand A and Brand B coffee beans are $400/kg and
$280/kg respectively. x kg of Brand A coffee beans and y kg of
Brand B coffee beans are mixed so that the cost of the mixture is
$320/kg. Find the ratio of x:y.
Answer:
The ratio of x:y is 1/2
Step-by-step explanation:
Let
x----> the number of Kg of brand A
y ---> the number of Kg of brand B
we know that
400x+280y=320(x+y)
400x+280y=320x+320y
400x-320x=320y-280y
80x=40y
x/y=40/80
x/y=1/2
Final answer:
The ratio of Brand A coffee to Brand B coffee (x to y) required to achieve a mixture cost of $320/kg is 1 : 2. This is derived using the weighted average cost formula and simplifying the resulting equation.
Explanation:
To find the ratio of x to y for the mix of Brand A and Brand B coffee beans, we can use a weighted average cost formula since the mixture's cost is given to be $320/kg. Let's assume we have x kilograms of Brand A coffee at $400/kg and y kilograms of Brand B coffee at $280/kg. The total cost for all the coffee is then $400x + $280y.
The combined weight of the coffee is x + y kilograms, and for the mixture to cost $320/kg, the total cost divided by the total weight must equal $320. Therefore, we can set up the following equation:
($400x + $280y) / (x + y) = $320
Multiplying both sides by (x + y) we get:
$400x + $280y = $320x + $320y
Now, we subtract $320y from both sides to isolate terms with x:
$400x - $320x = $320y - $280y
$80x = $40y
Dividing both sides by $40 gives us the simplified ratio:
x : y = 1 : 2
Thus, the ratio of Brand A coffee to Brand B coffee in the mixture to get a $320/kg cost is 1 : 2.
In a study, 1,085 out of 2,321 people did not receive a flu
vaccination. 465 people were vaccinated and tested positive
for the flu. A total of 1,371 participants tested negative.
Create a two-way table for this scenario.
Answer:
Vaccinated: 465, 771, 1236
Not Vaccinated: 485, 600, 1085
Total: 950, 1371, 2321
Step-by-step explanation:
Next Question: 465/1236
It is given that:
In a study, 1,085 out of 2,321 people did not receive a flu vaccination.This means that the total of all the entries i.e. total of each row and each column is equal to 2321
Also, the sum of the second row is equal to: 1085
This means that the sum of the first row i.e. number of people who were vaccinated is: 2321-1085=1236 465 people were vaccinated and tested positive for the flu. This means that the number of people who were tested negative but were vaccinated are: 1236-465=771 A total of 1,371 participants tested negative.This means that the sum of second column is: 1371
Hence, sum of first column will be: 2321-1371=950Also, the second entry of the first column is calculated by: 950-465=485and the second entry of second column is: 1371-771=600The table is attached to the answer.
help me please i neeeeeeeeed to get this right
Answer:
d)96π
Step-by-step explanation:
Given:
Cyliner with radius,a= 4
Height b=8
Surface area of cylinder, A=2πrh+2πr^2
=2π(rh+r^2)
=2π(4(8) + 4^2)
= 2π(32+16)
=2π(48)
=96π !
Answer: Option D.
[tex]A =96\pi\ cm^2[/tex]
Step-by-step explanation:
The area of the circular bases is:
[tex]A_c = 2\pi(a) ^ 2[/tex]
Where
[tex]a=4\ cm[/tex] is the radius of the circle
Then
[tex]A = 2\pi(4) ^ 2[/tex]
[tex]A = 32\pi\ cm^2[/tex]
The area of the rectangle is:
[tex]A_r=b * 2\pi r[/tex]
Where
[tex]b=8\ cm[/tex]
b is the width of the rectangle and [tex]2\pi r[/tex] is the length
Then the area of the rectangle is:
[tex]A_r=8 * 2\pi (4)[/tex]
[tex]A_r=64\pi\ cm^2[/tex]
Finally the total area is:
[tex]A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\[/tex]
[tex]A =96\pi\ cm^2[/tex]
What is the perimeter of this square?
26 ft
26.5 ft
24.5 ft
13 ft
6.5 x 4 = 26
The perimeter of the square is 26 ft.
Answer: 26 ft
Step-by-step explanation: you have add all sides.
Tim has swimming practice at 7 o clock the swimming practice ends 30 minutes later what time does it end ?
Answer:
It ends at 7:30.
Final answer:
Tim's swimming practice starts at 7 o'clock and after adding the 30 minutes duration, it ends at 7:30.
Explanation:
The question pertains to adding time, specifically calculating the end time of an activity based on its duration. If Tim's swimming practice starts at 7 o'clock and ends 30 minutes later, the end time can be found by adding 30 minutes to the start time.
Here's how you calculate it:
Start with the initial time of the practice, which is 7:00.
Add the duration of the practice, which is 30 minutes.
Since there are 60 minutes in an hour, adding 30 minutes to 7:00 does not increase the hour value. Therefore, the practice ends at 7:30.
So, Tim's swimming practice ends at 7:30.
A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table. What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent. 21% 25% 40% 61%
Answer:
Step-by-step explanation: the answer is 21%
Answer:
21%
Step-by-stStep-by-stepep explanation:
1. what are the domain and range of the function?
[tex]f(x) = \sqrt[3]{x - 3} [/tex]
2.what are the domain and range of the function?
[tex]f(x) = - 3 \sqrt{x} [/tex]
1) domain of the first is ( R ) because of its root(3) and its range is (R) because of its root again
2)and domain of the last , is [0,+infinity)
and for its range , you can draw it such as picture and will be [0,- infinity)
Answer:
1. [tex]Dom(f)=\mathbb{R} [/tex], [tex]Ran(f)=\mathbb{R} [/tex].
2. [tex]Dom(f)=\{x\in \mathbb{R} : x\geq 0 \} [/tex], [tex]Ran(f)=\{x\in \mathbb{R} : x \leq 0 \} [/tex].
Step-by-step explanation:
1. Since the degree of the radical is an odd number, the radicand can be any real number, then [tex] x [/tex] can take any real value, so the domain of [tex] f [/tex] is the set of all real numbers, [tex] \mathbb{R} [/tex].
Now, if [tex] x\in \mathbb{R} [/tex] , then [tex] x-3 \in \mathbb{R} [/tex], so [tex] \sqrt[3]{x-3} \in \mathbb{R} [/tex], and thus [tex] f(x)\in \mathbb{R} [/tex], which leads us to affirm that the range of [tex] f [/tex] is the set of all real numbers, [tex] \mathbb{R} [/tex].
2. Since the degree of the radical is an even number, the radicand can not be a negative number, then [tex] x [/tex] can take only nonnegaive values, so the domain of [tex] f [/tex] is the set of all nonnegative numbers, [tex] \{x\in \mathbb{R} : x\geq 0 \} [/tex].
Now, if [tex] x\geq 0 [/tex] , then [tex] \sqrt{x}\geq 0 [/tex] so [tex] -3\sqrt{x}\leq 0 [/tex], and thus [tex] f(x)\in \mathbb{R} [/tex], which leads us to affirm that the range of [tex] f [/tex] is the set of all nonpositive numbers, [tex] \{x\in \mathbb{R} : x \leq 0 \} [/tex].
Please help :) I’m struggling
Answer:
an = -1.3n -2.4
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1 +d (n-1)
where a1 is the first term and d is the common difference
an = -3.7 - 1.3(n-1)
Distribute
an = -3.7 -1.3n +1.3
an = -2.4 - 1.3n
an = -1.3n -2.4
How many multiples of $6$ are between $100$ and $500$?
Answer:
67
Step-by-step explanation:
First number between 100 to 500 which is divisible by 6 is 102
Multiples of 6 between 100 to 500 :
102,102+6,102+6+6,....
This Forms an AP
a= first term = 102
d = common difference = 6
Last number between 100 to 500 which is divisible by 6 is 498
So, [tex]a_n=498[/tex]
Formula of nth term = [tex]a_n=a+(n-1)d[/tex]
[tex]498=102+(n-1)6[/tex]
[tex]498-102=(n-1)6[/tex]
[tex]396=(n-1)6[/tex]
[tex]\frac{396}{6}=n-1[/tex]
[tex]66=n-1[/tex]
[tex]66+1=n[/tex]
[tex]67=n[/tex]
Hence there are 67 multiples of 6 between 100 to 500.
Use the order of operations to evaluate the expression below.
3 + [9 -
(7-6) + 9 - 5] . 3
Answer: The answer I got was 39
Step-by-step explanation:
rue or False? The first distribution shown below has a smaller standard deviation than does the second distribution. A) 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. B) 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122
False, the min and max of A are the same distance as the min and max of B from each other, therefore the standard deviation is the same.
What sequence is modeled by the graph below?
Coordinate plane showing the points (2,1) (3,2) (4,4) (5,8)
A
an = 2(2)n − 1
B
an = 2( one half )n − 1
C
an = 4(−2)n − 1
D
an = one half (2)n − 1
ANSWER
[tex]a_n= \frac{1}{2}( {2}^{n - 1} )[/tex]
EXPLANATION
The corresponding ordered pairs from the graph are:
(2,1) (3,2) (4,4) (5,8)
The y-values are:
1,2,4,8
The first term term is the term before 1,this has to be.
[tex]a_1= \frac{1}{2} [/tex]
The common ratio is
[tex]r = \frac{2}{1} = 2[/tex]
The nth term is given by
[tex]a_n=a_1 {(r}^{n - 1} )[/tex]
Let's substitute the values to get,
[tex]a_n= \frac{1}{2} \times {(2}^{n - 1} )[/tex]
This simplifies to,
[tex]a_n= \frac{1}{2} {(2}^{n - 1} )[/tex]
The graph represents a geometric sequence with a common ratio of 2, best defined by the function an = 2(2)^n – 1.
Explanation:This graph represents a geometric sequence. A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the 'common ratio'. In this case, the common ratio is 2, because each y-coordinate is twice the y-coordinate of the point before it (2, 1), (3, 2), (4, 4), (5, 8). Therefore, the sequence is best represented by the option A an = 2(2)^n – 1.
Learn more about Geometric Sequence here:https://brainly.com/question/34721734
#SPJ3
What is the first step to solving the division problem below
Answer:
The answer is A.
Step-by-step explanation:
I got this answer by going through the regular division system.
Which is the better buy?
A. 2-gallon container of laundry detergent for $21.76
B. 12-cup container of laundry detergent for $7.20
What are the first four terms of 3n²
Answer:
3;14;27;48
Step-by-step explanation:
Answer:
3, 12, 27, 48
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the rule, that is
n = 1 → 3 × 1² = 3 × 1 = 3 ← first term
n = 2 → 3 × 2² = 3 × 4 = 12 ← second term
n = 3 → 3 × 3² = 3 × 9 = 27 ← third term
n = 4 → 3 × 4² = 3 × 16 = 48 ← fourth term
Find the product.
3(x + 4) (x - 5)
A.
3x2 − 20x
B.
3x2 − 11x − 20
C.
3x2 − 3x − 60
D.
3x2 − x − 20
Answer:
C. 3x2 − 3x − 60
Step-by-step explanation:
3(x + 4) (x - 5) = (3x+12) (x-5)
(3x+12) (x-5) = 3x2+12x-15x-60
3x2+12x-15x-60 = 3x2 − 3x − 60
C. 3x^2-3x-60 Hope it helps
Please,Can you help me?
Answer:
x = 4
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = area of triangular face × length
Area of triangle = [tex]\frac{1}{2}[/tex] bh
b is the base and h the perpendicular height
here b = 9 and h = 12 ← sides at right angles
A = [tex]\frac{1}{2}[/tex] × 9 × 12 = 54 m²
The length of the prism = x and V = 216, hence
54x = 216 ( divide both sides by 54 )
x = 4
Find the missing lengths of the sides. b = , c = 16 b = , c = b = , c = b = , c = 12
To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Explanation:To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, the equation is: a² + b² = c².
For example, if b is missing and c is 16, you can plug the values into the equation and solve for b: a² + b² = 16². Once you find the value of b, you can follow the same process for the other missing lengths.
Remember to square each side length before adding them. Then, find the square root of the sum to find the length of the hypotenuse.
The Options: Fx and Gx
Answer: f(x) has a domain that contains the domain of g(x).
Step-by-step explanation:
The domain of f(x) is: x - 2 > 0
--> x > 2
The domain of the graph g(x) is: x ≥ 3
All of the values of x ≥ 3 are included in x > 2.
Talk Time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. The equation below can be used to find c, the total cost for one month when m minutes are used. If a customer’s bill for the month is $38.00, how many minutes did the customer use the phone?
Take the total price - rate . 0.12
38 - 8 = 30 / 0.12 = 250 <- The customer used 250 mins.
Hope I helped :)
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
ANSWER
36√3 square units.
EXPLANATION
The area of a parallelogram is obtained by multiplying the base by the height.
We use the sine ratio to obtain the height.
[tex] \sin(60 \degree) = \frac{h}{6} [/tex]
[tex]h = 6 \sin(60 \degree) [/tex]
[tex]h = 3 \sqrt{3} [/tex]
The area becomes:
[tex]12 \times 3 \sqrt{3} = 36 \sqrt{3} {units}^{2} [/tex]
The polygons below are similar, but not drawn to scale. find the value of x
Answer:
x=21
Step-by-step explanation:
Set the two similar sides in a fraction to be compared and set them equal to another set of similar sides whose values are already known. Solve from there. See work for more.
An office suply store sold 410,309 pencils last year. what is the expanded form of 410,309?
Answer:
400000 + 10000 + 300 + 9
Step-by-step explanation:
Just simply take each place value and turn the rest after to zeros, but DO NOT include the zeros that are within the number. Zeros are unnecessary.
I am joyous to assist you anytime.
#13 pls I need this ASAP tmr I my last day!!!
Answer:
Step-by-step explanation:
-1 is included in the inequality. 2 is not included.
-1 ≤ x < 2
So this reads as x is greater than or equal to - 1 and x is less than 2.
Answer: -1 less equals x < 2
A mountain climbing team is camped at an altitude of 18,460 feet on Mount Everest. The team wants to reach the 29,029 foot summit within 6 days. Write an inequality to find the average number of feet per day the team must climb to accomplish its objective.
The average number of feet per day they need to ascend is 'Feet climbed per day ≥ 1,761.5'.
The mountain climbing team must calculate the average number of feet to climb each day in order to reach the summit of Mount Everest, which is at an altitude of 29,029 feet. Starting from an altitude of 18,460 feet, the team needs to climb the remaining distance to the summit within 6 days. To find the average feet per day they need to ascend, we use an inequality.
First, we determine the total feet that the team must climb:
Total feet to climb = Summit altitude - Current altitude
= 29,029 feet - 18,460 feet
= 10,569 feet
Now we divide the total feet by the number of days to find the average feet per day:
Average feet per day = Total feet to climb / Number of days
= 10,569 feet / 6 days
Since the team must climb at least this average number of feet daily, the inequality will be:
Feet climbed per day ≥ 10,569 feet / 6 days
By solving the inequality, we find that the team must climb at least 1,761.5 feet per day.
Therefore, the inequality to represent the average number of feet the team must climb per day to reach the summit within 6 days is:
Feet climbed per day ≥ 1,761.5
How many layers of material were the roads made of?
A.two
B.three
C.four
D.five