Answer:
[tex]L_c=25.12ft[/tex]
Step-by-step explanation:
From the question we are told that
Width of circular path [tex]w_c=4ft[/tex]
Inner Diameter [tex]d_i_n=550ft[/tex]
Outer diameter [tex]d_{out}= 550 +2*4[/tex] (inner diameter + 2 circular path width)
[tex]d_{out}= 550 +8\\d_{out}= 558ft[/tex]
Generally the equation for inner circumference of the circle [tex]C_1[/tex] is mathematically given by
[tex]C_1=\pi d_{in}[/tex]
[tex]C_1=3.14*550[/tex]
[tex]C_1=1727ft[/tex]
Generally the equation for outer circumference of the circle [tex]C_2[/tex] is mathematically given by
[tex]C_2=\pi d_{out}[/tex]
[tex]C_2=3.14*558[/tex]
[tex]C_2=1752.12ft[/tex]
Generally the difference in length of the two circumference [tex]L_c[/tex] is mathematically given by
[tex]L_c=C_2-C_1[/tex]
[tex]L_c=1752.12-1727[/tex]
[tex]L_c=25.12ft[/tex]
:
Jeremy has hit 5 home runs so
far this season. This represents
20% of his yearly goal. How many
more homeruns does he need to hit
to achieve his goal?
Answer:
20 home runs left to hit.
Step-by-step explanation:
Ok so 100%/20% is 5. Increment 5 home runs until you get to 100%. So, 20% =5, 40% = 10, 80% = 15, and 100% = 20
Answer: 25 home runs
Step-by-step explanation:
20% = 5
40% = 10
80% = 20
80% + 20% = 100%
5+10=25
Two ways you can solve the following equation : 20 = 5(-3+x)
Answer:
x=7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Method one:
You divide both sides by 5 and get
4= -3+x
7=x
Method 2:
You can distribute the 5
20= -15+5x
35=5x
x=7
Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more than last year. What is the average revenue.
Answer:
$46,053
Step-by-step explanation:
Convert 29% into a decimal, which is 0.29.Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?
please help me due tomorrow
Answer:
I think the answer is 1 7/9
Carl rented a bounce house for his little brother's birthday party. The company charges a base rental charge of $95.25, plus a certain amount per hour. Carl's little brother's party lasted 4 hours, and costs $179.72. Carl plans to rent a bounce house for his little sister's birthday party for 6 hours for about $200. Is this a reasonable estimate? A. Yes, the estimate is reasonable. B. No, the estimate should be lower. C. No, the estimate should be higher.
Answer:
C. No, the estimate should be higher.
Step-by-step explanation:
Carl's brother party
Fixed charge = $95.25
Number of hours = 4 hours
Hourly charge = x
Total cost = $179.72
179.72 = 95.25 + 4x
179.72 - 95.25 = 4x
84.47 = 4x
x = 84.47/4
x = 21.1175
Hourly charge = $21.1175
Carl's little sister party
Estimated total charge = $200
Number of hours = 6
Fixed charge = $95.25
Hourly charge = $21.1175
Total charges = 95.25 + 6(21.1175)
= 95.25 + 126.705
= 221.955
Total charges = $221.955
C. No, the estimate should be higher
What is the area of the parallelogram?
80 cm 2
40 cm 2
29 cm
58 cm 2
Answer:
80cm²
Step-by-step explanation:
Area of parallelogram =base×height
B=16cm
H=5
Area=16×5
80cm²
Hope this helps you :)
Step-by-step explanation:
area= b×h
area= 16cm × 5cm
area= 80 cm²
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Learn more about the elementary row operation here:
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#SPJ2
Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep. Which size refrigerator would be the BEST fit for the available space?
Answer: Answer D, 42,000 in
Step-by-step explanation:
ok no one cares lol lolololol
On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.
Answer: $343849
Step-by-step explanation:
Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:
= 77 million / 1.42
= $54.225 million
Therefore, the value in U.S. Dollars per pound for the heroin will be:
= $54.225 million / 157.7
= $343849 pee pound
Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] = finding common denominator which is 12. so multiply both sides with what makes them 12 ...... [tex]\frac{1}{6}[/tex] [tex]\frac{2}{2}[/tex] & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex] then add = [tex]\frac{5}{12}[/tex]
Find the measure of each angle in the isosceles trapezoid WXYZ.
Answer:
Given each largest angle is x, then the other angles are x, x, 180 -x, 180 - x
This is because of the properties of isosceles triangle
What is the price of a can of soda if a case of 24 is 8.99
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
a number divided by 3 minus 5 is less than 10
Answer:
x < 45
Step-by-step explanation:
Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.
Given m||n, find the value of x.
xo
170
o
Answer:
Submit Answer
Answer:
sorry for the points
Step-by-step explanation:
A rectangular prism has a base area of 380 square feet. The volume of the prism is 4180 cubic feet. What is the height of the prism?
Answer:
the height will be 11 cm
Step-by-step explanation:
As:
given,
base area = 380
volume = 4180
We know,
Base area = l * w
or, 380 = l * w
Then,
volume= l * w * h
or, 4180 = 380 * h
or, 4180/380 = h
or, h = 11
Therefore, the height will be 11 ft.
All the best!!
The height of the rectangular prism is 11 feet
The volume of the prism is given as:
Volume = 4180 cubic feet
The base area of the prism is given as:
Base Area = 380 square feet
The volume of the prism is calculated as:
[tex]Volume = Bh[/tex]
Where, B represents the base area and h represents the height
So, we have:
[tex]4180= 380 \times h[/tex]
Divide both sides by 380
[tex]11 = h[/tex]
Rewrite the equation as:
[tex]h =11[/tex]
Hence, the height of the rectangular prism is 11 feet
Read more about volumes at:
https://brainly.com/question/1972490
yo is arjun du.mb
csCsscasxsCSc
Answer:
ok kapoor
Step-by-step explanation:
A player at a basketball camp set a goal to make 55% if his shots. If he has 120 attempts, how many shots would he need to make in order to reach his goal?
Answer: 66
Step-by-step explanation:
From the question, we are informed that a player at a basketball camp set a goal to make 55% if his shots and that he has 120 attempts.
The number of shots that he would he need to make in order to reach his goal will be 55% of 120. This will be:
= 55% × 120
= 55/100 × 120
= 0.55 × 120
= 66
He would need to make 66 shots
18 POINTS I need it ASAP !
Answer:
7 to the power of 3
7 3
Step-by-step explanation:
7 21/ (7 6) 3
7 21/ 7 18
Cross it out and answer is 7 3
Answer:
343
Step-by-step explanation:
[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.
1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]
2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]
(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])
3. Subtract the exponents to get [tex]7^{3}[/tex]
[tex]7^{3}[/tex] = 343
One of the legs of a right triangle measures 9 cm and the other leg
measures 4 cm. Find the measure of the hypotenuse. If necessary,
round to the nearest tenth.
Answer:
9.8cm
Step-by-step explanation:
The pythagorean theorem states that, for right triangles, [tex]a^{2}+b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.
a = 9cm
b = 4cm
c = hypotenuse
9^2 + 4^2 =c^2
81 + 16 = c^2
[tex]\sqrt{97} =c[/tex]
9.8 = c
Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
"complete the function table. use the given input (x) values and determine the corresponding output (y) values based on the given function. if no inputs or outputs are given --- provide your own."
Answer:
-4, 6, 16, 26
Step-by-step explanation:
For each y-value, all you need to do is put x into the function or equation wherever there is an x, and the result will be the y-value.
When x = 0; y = 2(0)-4, or y = -4.
When x = 5; y = 2(5)-4 = 10-4 = 6
When x = 10; y = 2(10)-4 = 20-4 = 16
When x = 15; y = 2(15)-4 = 30-4 = 26
Which table shows no correlation?
х
3
8
3
-1
5
- 2
6
--3
10
-5
14
1-4
15
-8
y
-2
х
10
3
-6
5
--7
6
-4
8
-2
14
-1
15
3
0
у
х
5
3
-2.
5
|--4
6
6
colo
10
12
14
10
15
-16
y
8
X
3
-3
5
_5
6
-9
10
-13
14
--15
15
-17
y
-11
The correlation of the values in the tables is the existence of a
relationship between the x and y values.
Correct response:
The third table.Method used for the evaluation of the tablesA table that shows a strong correlation is one in which the y-values can be predicted more or less accurately from the x-values.
The table that shows no correlation is one in which the x and y-values have different patterns;
The level of correlation is given by the correlation coefficient, which is found by the following formula;
[tex]\displaystyle r = \mathbf{ \dfrac{\sum \left(x_i - \overline{x} \right) \cdot \left(y_i - \overline{y} \right)}{\sqrt{\sum \left(x_i - \overline{x} \right)^2 \cdot \sum \left(y_i - \overline{y} \right)^2} }}[/tex]
By plotting the values using MS Excel, we have the values of r², for the tables as follows;
The value of r² for the first table is r² = 0.7307
Therefore;
r ≈ 0.8548 The correlation of the first table is strong.
Second table, r² = 0.8156
r = √(0.8156) ≈ 0.9031 The correlation in the second table is very strong.
Third table, r² = 0.0107
Therefore, r ≈ 0.1034
The correlation for the third table is weak, which shows no correlation.Fourth table, r² = 0.9342
Therefore, r ≈ 0.9665
The correlation of the x and y-values of the fourth table is very strong indicating the presence of a correlation.
Therefore;
The table that shows no correlation is the third table.Learn more about correlation analysis here:
https://brainly.com/question/14820399
Triangle Theorem ( sss, sas, asa )
Answer:
A.) SSS
B.) HL
C.) SAS
3x+7=19 what is the value of x
Answer:
4
Step-by-step explanation:
because subtract 4+7 which is 11 from 19 which is 7 and 4x3 equals 9 so X is 3
How do you know when a number is divisible by 6?
A. when the number in one's digit is even
B. when the number is divisible by 4
C. when the last three digits are divisible by 8
D. when the number is even AND is divisible by 3.
Answer:
the answer is D
Step-by-step explanation:
makes sense...
PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?
A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099