Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. The athletic program is more popular.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Given that,
A town’s most popular drive-in restaurant has 2,500 followers on a social networking website.
The town’s high school athletic program has 1.5* 10^4 followers on the same website.
We need to find which is popular among both the programs.
Athletic program views=1.5* 10^4=15000.
Drive in has views 2,500
15000>2500
Therefore athletic program is more popular according to the given data.
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sec(2a + 6°) cos(5a + 3º) = 1
Answer:
Step-by-step explanation:
sec(2a+6)cos (5a+3)=1
[tex]\frac{cos(5a+3)}{cos(2a+6)} =1\\[/tex]
cos(5a+3)=cos(2a+6)
cos(5a+3)-cos(2a+6)=0
[tex]-2sin(\frac{5a+3+2a+6)}{2} )sin(\frac{5a+3-2a-6)}{2} )=0\\-2sin(\frac{7a+9}{2} )sin(\frac{3a-3}{2} )=0\\either sin (\frac{7a+9}{2} )=0=sin ~n\pi \\\frac{7a+9}{2} =n~\pi \\7a+9=2n~\pi \\7a=2n~\pi -9\\a=\frac{2n\pi-9 }{7} \\where~n~is~an~integer.[/tex]
or
[tex]\sin\frac{3a-3}{2} =0=\sin ~n\pi \\3a-3=2n\pi \\3a=2n\pi+3\\a=\frac{2~n\pi+3 }{3}[/tex]
where n is an integer.
Suppose f(x) = - 2x² + 8x - 8. Compute the following:
A.) f(-1) + f(1) =
B.) f(1)-f(1) =
f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.
What is a function ?A function can be thought of as an output for the given inputs.
According to the given question f(x) = -2x² + 8x - 8 we have to compute
A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.
f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }
f(-1) + f(1) = - 18 - 2.
f(-1) + f(1) = - 20.
B. f(1)-f(1) = 0 ( we don't need to calculate )
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Paddy spent $63.00 on three tickets to a concert. Javier spent $76 on four tickets. How much les per ticket did Javier pay compared to paddy. PLEASE HURRY
Answer:The answer is 2
no time for explonations
Write the equation of the line that passes through the points ( 7 , − 7 ) (7,−7) and ( 3 , 8 ) (3,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:
horizontal line isywgwueve
Each side of a square floor tile is 182 mm long. Find the area of the square defined by one of these floor tiles.
Answer:
33124
Step-by-step explanation:
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Four friends washed cars all day
on Saturday and earned $66.00.
They shared the work equally, so
they want to share the money they
earned equally. How much money
will each person get?
E
66.00 divided by 4 equals 16.5
In 1980, the average price of a home in Lake County was $93,000. By 1985, the average price of a home was $118,000. Which of the following is a linear model for the price P of home in Lake County, in terms of the year t? Let t = 0 correspond to 1980.
[A] P=25,000t +93,000
[B] P=118,000-25,000t
[C] P = 5000t +93,000
[D] P=118,000-5000t
Answer: [C] P = 5000T + 93,000
Step-by-step explanation:
Harry needs wood pieces to complete a project in woodshop class. He needs six pieces of wood that have a length of two and five eighths feet and three pieces of wood that are one and one fifth feet. What is the total amount of wood that Harry will need for the project?
Answer:
19 7/20 feet
Step-by-step explanation:
1. [tex]2\frac{5}{8}[/tex] pieces of wood
[tex]2\frac{5}{8} * 6 = 15\frac{3}{4}[/tex]
2. [tex]1\frac{1}{5}[/tex] pieces of wood
[tex]1\frac{1}{5} * 3 = 3\frac{3}{5}[/tex]
3. Combined
[tex]15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}[/tex]
What is 3/25 as an equivalent fraction?
Step-by-step explanation:
equivalent fractions are all fractions with different numbers in numerator and denominator, but after simplifying they have the same value.
like 1/2 and 3/6 are equivalent fractions to each other.
so, the equivalent fractions for 3/25 are
a/a × 3/25
for any "a".
e.g.
6/50, 15/125, 300/2500, ...
Two numbers have these properties.
Both numbers are greater than 6.
•
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ..
With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.
What are mathematical operations?An operation in mathematics is a function that takes zero or more input values and produces a well-defined output value. The operation's arity is determined by the number of operands. Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.Two numbers with HCF 6 can be:
6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.
=> 6 × 60 = 6a × 6b=> 10 = abab = 1010 = 1 × 10 = 2 × 5a , b > 1As a result, a and b can be 2 or 5.
The numbers are 6 × 2 and 6 × 5.
Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.
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9. Estimation
Doug is reading two
books. The first book is 122 pages.
The second book is 189 pages.
Rounded to the nearest ten, about
how many pages will Doug read?
Answer:
310
Step-by-step explanation:
189+122=311
(311 rounded to the nearest ten is 310.)
-2x 8y = 14
2x+8y= -14
Solve by elimination
Answer: x=-7, y=0
Step-by-step explanation:
You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.
-2x+8y = 14
2x+8y= -14 --------> 16y=0
When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.
-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14
When you divide both sides by -2, you get x=-7.
Which number below best represents a gain of $7.92?
A.
-7.92
B.
17.92
C.
-17.92
D.
7.92
Answer:
The Answer is D
Step-by-step explanation:
you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.
Find the simple interest.
Principal $300
The interest Rate 15%
Time 18 months
keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]
Over 5 months, Carlos wrote 5 checks for a total of $335.75 to pay for his cable TV service. His cable bill is the same amount each month. What was the amount of the cable bill for one month of service?
Carlos pays monthly for his cable bill $67.15
How to calculate the monthly payment ?For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.
The same amount is paid for the cable bill every month.
Therefore the amount paid every month can be calculated as follows
= 335.75/5
= 67.15
Hence the amount paid monthly for the cable bill is $67.15
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13. Which products have 240 as a partial
product?
3 x 3,388
8 x 2,612
4 x 5,376
6 x 4,345
3 x 6,828
The products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345
How to determine the product expression that has 240 as a partial product?The partial product is given as
240
Express 240 as a product of its factors
So, we have
240 = 1 * 240
240 = 2 * 120
240 = 3 * 80
240 = 4 * 60
240 = 5 * 48
240 = 6 * 40
240 = 9 * 30
Next, we test the options
3 x 3,388
Express all values other than the ten-place value as 0
3 x 0080
Evaluate the product
3 x 0080 = 240
8 x 2,612
Express all values other than the ten-place value as 0
8 x 0010
Evaluate the product
8 x 0010 = 80
4 x 5,376
Express all values other than the ten-place value as 0
4 x 0070
Evaluate the product
4 x 0070 = 280
6 x 4,345
Express all values other than the ten-place value as 0
6 x 0040
Evaluate the product
6 x 0040 = 240
3 x 6,828
Express all values other than the ten-place value as 0
3 x 0020
Evaluate the product
3 x 0020 = 60
Hence, the products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345
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Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would to walk to school 3 miles away. How long does it take Ben to walk to the library?
The time takes Ben to walk to the library is 80 minutes.
Given that, Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would walk to school 3 miles away.
What is proportion?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the time taken Ben to walk to the school be x, so the time taken to walk to the library be x+20.
Now, 4 : x+20 :: 3 : x
⇒4x=3(x+20)
⇒4x=3x+60
⇒x=60
So, x+20=80
Therefore, the time taken by Ben to walk to the library is 80 minutes.
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10(v+3)-4v-2(3v+3)-9
Answer:
15
Step-by-step explanation:
Distribute where possible
10v + 30 - 4v -6v -6 -9
Combine like terms and do the math
15
Learning
Square TUVW is dilated by a scale factor of with respect to the origin.
Then, it is translated 8 units down to produce TUVw
104-7
units
Submit
d
What is the area of T'U'V'W'?
square units
543211
W
5
4-
3
121
-2
9
4
40
What is the perimeter of T'U'V'W"?
ich d
5
6
7
-8
S
U
78 10
GATHS Stow &
V
Que
Answer:
perimeter: 80area: 400Step-by-step explanation:
Given square TUVW, you want the perimeter and area of square T'U'V'W' after it has been dilated by a factor of 5/2 and translated by (0, -8).
PerimeterCounting grid squares, or reading coordinates, we find the length of a side of square TUVW to be 8 units. Then the perimeter is ...
P = 4s = 4·8 = 32 . . . . units
After dilation, the perimeter of the square is the preimage value multiplied by the dilation factor.
perimeter of T'U'V'W' = (5/2)(perimeter of TUVW) = (5/2)(32 units)
perimeter of T'U'V'W' = 80 units.
AreaThe area is the square of the side length. The side length of T'U'V'W' is ...
s' = (5/2)(8) = 20 . . . . units
Then the area is
A' = (s')² = (20 units)² = 400 units²
area of T'U'V'W' is 400 units².
__
Additional comment
Translation is a rigid transformation. It does not change the dimensions, so does not change the perimeter or area of the dilated square.
Erosion typically wears the Hawaiian volcano Mono Loa down about 20 cm in 5 years. Lava flows build the volcano up about 10 cm every time there is an eruption. Mono Loa erupts about once every 2 years. Is the volcano growing or wearing down?
The volcano is growing larger by 1 cm/year.
Is the volcano growing or wearing down?In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
The cm the volcano wears down each year = 20 cm / 5 = 4cm
10 / 2 = 5cm
5cm - 4cm = 1 cm
This means that the volcano is growing at 1 cm per year.
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Rectangle p q r s had vertices p(1, 4) q(6, 4) r(6, 1) and s(1, 1).without graphins find the new coordinates of the vertices of the rectangle after the reflection over the x axis and then another reflection over the y axis
The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).
What are the coordinates of the vertices of the image of a rectangle?
In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:
Reflection over the x-axis: P'(x, y) = P(x, y) + (0, - 2 · p)Reflection over the y-axis: P''(x, y) = P'(x, y) + (- 2 · p', 0)If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:
P'(x, y) = (1, 4) + (0, - 8)
P'(x, y) = (1, - 4)
P''(x, y) = (1, - 4) + (- 2, 0)
P''(x, y) = (- 1, - 4)
Q'(x, y) = (6, 4) + (0, - 8)
Q'(x, y) = (6, - 4)
Q''(x, y) = (6, - 4) + (- 12, 0)
Q''(x, y) = (- 6, - 4)
R'(x, y) = (6, 1) + (0, - 2)
R'(x, y) = (6, - 1)
R''(x, y) = (6, - 1) + (- 12, 0)
R''(x, y) = (- 6, - 1)
S'(x, y) = (1, 1) + (0, - 2)
S'(x, y) = (1, - 1)
S''(x, y) = (1, - 1) + (- 2, 0)
S''(x, y) = (- 1, - 1)
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Suppose we want to choose 7 letters, without replacement, from 9 distinct letters.
(a) How many ways can this be done, if the order of the choices is relevant?
(b) How many ways can this be done, if the order of the choices is not relevant?
The numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.
Number of possible waysa. N permutations
N permutations = nPr = n!/ (n-r)!
N permutations = 9P7 = 9!/(9-7)!
N permutations = 9×8×7×6×5×4×3
N permutations= 181,440
b. N combinations :
N combinations = nCr = n!/((n-r)!r!)
N combinations = 9C7 = 9!/((9-7)!7!)
N combinations =9×8×7×6×5×4×3 ×2!/7!×2!
N combinations = 9×8×7×6×5×4×3 /7!
N combinations =181,440/7!
N combinations =36
Therefore the numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.
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Evaluate the expression when x = -0.75.
1. -x
2. |x| - 0.75
3. 2 • (-x)
4. |x| + |x|
I THINK X IS 2) : -0.75
There are 12 boys and 14 girls in the math club. They decide to run laps around the school track
to raise money for an upcoming competition. Each boy raised $8.00 per lap and ran at a rate of
What is the ratio of the total amount of money the boys raised in one hour to the total amount of
laps per hour. Each girl raised $10.00 per lap and ran at a rate of 4 laps every 30 minutes.
money the girls raised in one hour running around the track. HURRY
Answer:
The girls ran 8 laps in one hour, for the boys it is 48:6
Step-by-step explanation:
The girls ran 4 laps in 30 minutes so per hour is was be 8 laps because 4x2. So on the paper it would be 4x2=8
For the boys it would be 8x6 which is 48 dollars in one hour and 6 laps per hour so it would be 48:6 so just put 8x6=48 and it should work.
is the equation a linear function? explain how you know. 4y = -4x + 2^3
The equation 4y = -4x + 2³ is a linear function
A linear function can be explained as an algebraic equation, whose every term is either a constant or the product of a constant and a variable (raised to the first power only).
The equation 4y = -4x + 2³ is a linear function since both variables x and y meet the criteria, and both constants a and b do comply with rules as well
The exponent of x is 1, that is, it is raised to the first power only and the equation follows the definition of a function: for each input (x) there is only one output (y). The graph of any linear function in one variable is always a straight line.
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-5/6x =-10/3 solver for x
Answer:
X = 4
Step-by-step explanation:
Remove the fraction first by multiplying with 6 both sides.
Then leave the variable alone by diving with - 5
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{x= 4}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{-5/6x = -10/3}[/tex]
Find: [tex]\textsf{The value of x}[/tex]
Solution: In order to get the value of x we must multiply both sides by -6/5 to help cancel the coefficient on the left side to leave x by itself.
Multiply both sides by -6/5
[tex]\textsf{-5/6x * -6/5 = -10/3 * -6/5}[/tex][tex]\textsf{x = -10/3 * -6/5}[/tex][tex]\textsf{x = (-10 * -6)/(3 * 5)}[/tex]Simplify the expression
[tex]\textsf{x= 60/15}[/tex][tex]\textsf{x= 4}[/tex]Therefore, the value of the unknown variable x is 4.
In her last gymnastics competition Keri scored a 5.65 on the floor exercise, 5.85 on the vault, and 5.75 on the balance beam. What was Keri’s total score?
Keri's total score in her last gymnastics which had three different types of acts is 17.25.
What is a decimal?A decimal separates the whole part and the integer part of a given number. Decimal can also be written as fractions.
Keri in her last gymnastics competition scored a 5.65 on the floor exercise, 5.85 on the vault, and 5.57 on balance.
∴ Her total score will be the sum of all the scores she obtained in all those three performances which are,
= ( 5.65 + 5.85 + 5.75).
= 17.25.
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What are the correct answers?
Answer: The first 3 answers from the top
Step-by-step explanation:
10. Given AXPS ADNF, find the values of x and y.
Answer:
x = 3
y = 15
Step-by-step explanation:
Which of the terms best describes the following sequence?
162, 54, 18, 6, ...
Answer:
the respuesta is 54
Step-by-step explanation:
are not
Answer:
Geometric sequence with a common ratio of 1/3
Step-by-step explanation:
Each term is 1/3 of the previous term:
First term is : 162
Second term: 162 x 1/3 = 162/3 = 54
Third term : 54 x 1/3 = 54/3 = 18
and so on
The ratio of a term to its previous term is therefore 1/3 and this is called a common ration
This kind of sequence where each term is a multiple (1/3) of the previous term is called a geometric sequence