Answer:
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
Step-by-step explanation:
3 3/4 = 15/4
2 4/5 = 14/5
⇒[tex](\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )[/tex]
⇒[tex]\frac{75}{20} *\frac{56}{20}[/tex]
⇒[tex]\frac{4200}{400}[/tex]
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?
How should this model be completed to represent 605 ÷ 18?
Answer:
Check the attached image
What are the domain and range of the function
represented by the set of ordered pairs?
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs is given below.
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
Then the line function will be
y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)
y = – x – 1
x + y + 1 = 0
Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
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45°
x 100°
y = [? ]º
Answer:
55
Step-by-step explanation:
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.
A circle has a radius of 28 feet. A larger circle goes around the smaller circle that is 4 feet wide.
About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi.
88 ft
100 ft
176 ft
201 ft
The number of feet of fencing that is needed to go around the pool path is D. 201 ft.
How to calculate the number of feet?
We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= (28 + 4) feet
= 32 feet
The circumference of the outer edge of the pool path would be equal to the perimeter.
p = 2 * pi * r
p = 2 * 3.14 * 32
p = 200.96 feet
p = 201 feet
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what are the prime factors of 30
Step-by-step explanation:
Stay safe, stay healthy and blessed.Have a good day !Thank you♡ #jennifer ♡
Solve the inequality. Write the solution set in interval notation and graph it.
12x183(3x - 13)
O(-∞, -7]
-9
-6
-5
O(-∞, -7)
O (-7,00)
20
و۔
O [-7,00)
-8
t
-8
-8
-8
54
+7
5
45
-6
d
-6
-S
i
Answer:
hi the answer is c
Step-by-step explanation:
Prove that for a triple element x, y, z the distributive law is always satisfied if one of the elements equals 0 or 1, or if two of the elements are equal.
The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.
What is the distributive law?This is basic mathematical law that states:
A multiplied by (b+c) equals (a x b) + (a x c)Is this law satisfied if there are three numbers involved?The law is always satisfied if one of the numbers is 1. Here is an example
2 x (1+2+3) = 2 x 6 = 12or
(2x1) + (2x2) + (2x3)2+4+6 = 12Learn more about mathematical laws in: https://brainly.com/question/15190681
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What is the equation of a line that is parallel to -x + 3y = 6 and passes through the
point (3, 5)?
1.y=1/3x + 4
2.y = 3x + 4
3.y = -1/3x-4
4.y = -3x - 4
Answer:
Two lines are parallel if and only if they have the same slope.therefore the original line y=1/3x+2
so option 1 is the answer
Determine the value of x using a trigonometric
ratio.
Answer:
B. 8.56
Explanation:
Given:
angle = 50°adjacent = 5.5 hypotenuse = xSo using cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\rightarrow \sf cos(50) = \dfrac{5.5}{x}[/tex]
[tex]\rightarrow \sf x= \dfrac{5.5}{cos(50) }[/tex]
[tex]\rightarrow \sf x= 8.56[/tex]
can you simplify 8/15+1/6
Answer:
Yes and the answer is 16/5
Step-by-step explanation:
Find the reciprocal of the divisor
Reciprocal of 1/6 : 6/1
Now, multiply it with the dividend
8/15 ÷ 1/6 = 8/15 × 6/1
And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )
I hope this helps and I am a middle school student answering this question.
Answer:
7/10Step-by-step explanation:
can you simplify 8/15+1/6
8/15 + 1/6 =
(16 + 5)/30 =
21/30 =
semplify (21:3 and 30:3)
7/10
WHO LOVES AMY WINEHOUSE??
Answer:
:
Step-by-step explanation:
A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t*2 + 88t +6. How long will it take the rocket to reach its maximum height? What is the maximum height?
Question content area bottom
Part 1
The rocket reaches its maximum height at ? second(s) after launch.
Answer:
Step-by-step explanation:
I NEED THIS ANSWER FAST PLEASE
Fill in the missing coordinates of the x-intercept of the line defined by the equation y = x – 4
Answer:
the answer might be (-4,0) for x coordinates
Solve, using the substitution method.
x = 10
y = 2x – 6
(10, 14)
(10, 4)
(10, –4)
(10, –1)
Answer:
(10, 14)
Step-by-step explanation:
Hello there!
Given such a problem, we have been told to use substitution method to solve it.
To cut it short, substitution refers to replacing a variable with a value.
Here is a way to solve this problem even in future:
simplify the equation givensolve the equation for the variable x or ysubstitute as step 2 above for the other variablesolve the newly obtained equationand finally solve the equation to find the value of variable not yet obtained.Back to our problem,
y = 2x - 6, x = 10
Substitute x into equation y = 2x - 6
y = 2(10) - 6
= 20 - 6
= 14
. ° . x = 10, y = 14
Variables in terms of x and y
(x, y) = (10,14) ✓
This is our answer.
I hope this helps.
Have a nice studies.
A short road trip took Susan about 2 hours, traveling at an average speed of 51
miles per hour. Let t represent time (in hours) and r represent speed (in miles per
hour). Identify the type of variation, determine the number of miles she traveled,
and write an equation to represent the relationship between time and speed for
her trip.
The type of variation between the speed and time is inverse.
The equation is r = d / t
The number of miles travelled is 102 miles.
What is the type of variation?
When the speed a person is driving at increases, the time it takes to travel would decrease. On the hand, speed a person is driving at decreases, the time it takes to travel would increase. This means that there is an inverse relationship.
The equation that represents an inverse relationship is
r = d / t
Where d is the distance
Distance = t x r
51 x 2 = 102 miles
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Find the interquartile range (IQR) for the following data set: 52, 60, 24, 36, 48, 52, 72
Answer:
24
Step-by-step explanation:
The interquartile range defines the difference between the third and the first quartile.
Let's put this data set in ascending order:
24, 36, 48, 52, 52, 60, 72
The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.
Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.
Hope this helped! :)
Help please and thank you
Answer: 9
Step-by-step explanation:
By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]
Given matrix A below, and that A = B, find the value of the elements in B.
A =
9 −2 3
2 17 0
3 22 8
b11 =
9
b12 =
17
b13 =
b21 =
b22 =
b23 =
b31 =
b32 =
b33 =
The value of Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]
Given : Matrix A = Matrix B
matrix A= [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex]
The matrix A= [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex] (according to the question)
Since it is given A=B
and substituting the given values of elements of B
matrix B=[tex]\left[\begin{array}{ccc}9&17&?\\?&?&?\\?&?&?\end{array}\right][/tex]
According to the property of equality of matrices,
When the matrices are given to be equal, their corresponding elements are also equal
so
b13 = 3
b21 = 2
b22 = 17
b23 = 0
b31 = 3
b32 = 22
b33 =8
Substituting the found out values in place of the question marks,
Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]
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Answer:
b11 =
9
b12 =
-2
b13 =
3
b21 =
2
b22 =
17
b23 =
0
b31 =
3
b32 =
22
b33 =
8
Step-by-step explanation:
Maria’s suitcase has a mass of 14 kilograms. Her sister’s suitcase
has a mass of 1,600 grams. Which suitcase has a greater mass?
Explain.
Answer:
Maria
Step-by-step explanation:
Marias suitcase is heavier as 1600 grams to kg is 1.6kg which is less than Marias suitcase which weighs 14kg hope this helps:)
8-2 (i+1) < 12 − 7i + 4i true.
Answer:
True
Step-by-step explanation:
8-2 (i+1) < 12 − 7i + 4i
Left side of the inequality:
8 - 2(i + 1) distribute
8 - 2i - 2 simplify
(8 - 2) - 2i
6 - 2i
Right side of the inequality:
12 − 7i + 4i simplify
12 − 3i
Combine:
6 - 2i < 12 − 3i
6 is less than 12
3i is less than 2i
leads to the assumption that the statement is true
For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?
OA. $7200
OB. $4500
OC. $6000
OD. $3000
Answer:
B
Step-by-step explanation:
6% of her salary is .06 * 50000 = 3000 <===== matched 100%
from 6- 12% is another 3000 <=====matched 50% = 1500
3000 + 1500 = 4500 dollars matched
(she put in 6000 and her employer put in 4500 = 10500 total)
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold?
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets is mathematically given as
How many adult tickets were sold?Generally, the equation for a sold tickets is mathematically given as
S=x+72
Therefore
x+x+72=772
2x+72=772
2x=772-72
x=350
In conclusion, tickets sold was
x=350
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The table shown below lists the time, in days, that it takes for
a package to be delivered based on its mode of transport and
whether it is international or domestic. Some additional
information is provided.
1. The cost per package by air is $100; by train, $50; by
truck, $10; and by boat, $20.
2. Fragile packages cannot be transported by air.
3. Shipping fragile packages costs an extra $20.
4. Shipping international packages costs an extra $30.
Tim needs to transport a fragile package, and he needs it to
arrive as soon as possible. He is shipping domestic. Which of
the following shipping methods should he use?
Answer:gotchu g there it is
Step-by-step explanation:
Answer:sike gtf
Step-by-step explanation:
A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
no
Step-by-step explanation:
The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.
__
The first relation can be written as ...
$10 = 4A +4O
$10 = 4(A +O) . . . . factor out 4
$2.50 = A +O . . . . divide by 4
The second relation can be written as ...
$12 = 6A +6O
$12 = 6(A +O) . . . . factor out 6
$2 = A +O . . . . . . . divide by 6
These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.
No unique prices can be assigned.
For 95% of all randomly selected samples of n = 130 students, the mean amount of sleep will be between? Use the empirical rule.
For 95% of all randomly selected samples of n = 130 students, the
amount of sleep will be between [tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex].
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule.
The percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
For 95% of all randomly selected samples of n = 130 students, the
amount of sleep will be between can be
[tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex]
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Tracie ran a total of 5 3/4 miles on Saturday and Sunday. She ran 1 5/8 miles on Saturday. how many miles did Tracie run on Sunday?
let's firstly convert the mixed fractions to improper fractions and then get their difference.
[tex]\stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}} ~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Saturday and Sunday}}{\cfrac{23}{4}}~~ - ~~\stackrel{Saturday~only}{\cfrac{13}{8}}\implies \cfrac{(2)23~~ - ~~(1)13}{\underset{\textit{using this LCD}}{8}}\implies \underset{Sunday~only}{\cfrac{33}{8}\implies 4\frac{1}{8}}[/tex]
Find the value of each trigonometric ratio. 18) cos X Y 24 24 25 24 A) C) 25 B) D) 24 25 25
Answer:
Step-by-step explanation:
I want to know the:
X-intercepts
Y-intercepts
Please accurate answers only!
Answer:
Step-by-step explanation:
Ordered pairs
( 1 , -1 )
( 2 , -3 )
( 3 , -5 )
( 4 , -7 )
( 0 , 1 )
( -1 , 3)
( -2 , 5)
( -3 , 7)
Answer:
x-intercept = (0.5, 0)
y-intercept = (0, 1)
Step-by-step explanation:
x-intercept : where the line intersects the x-axis
x-intercept = (0.5, 0)y-intercept : where the line intersects the y-axis
y-intercept = (0, 1)) A philanthropist pledges to donate 12% of
a fund each year. If the fund initially has
$681,000.00, how much will the fund
have after 9 years?
answer 7344012
percent *612000 =
(12:100)*612000 =
(12*612000):100 =
7344000:100 = 73440
Now we have: 12 percent of 612000 = 73440
Question: What is 12 percent of 612000?
Percentage solution with steps:
Step 1: Our output value is 612000.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$612000=100\%$.
Step 4: Similarly, $x=12\%$.
Step 5: This results in a pair of simple equations:
$612000=100\%(1)$.
$x=12\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{612000}{x}=\frac{100\%}{12\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{612000}=\frac{12}{100}$
$\Rightarrow x=73440$
Therefore, $12\%$ of $612000$ is $73440$