Answers
Answer:
The total distance around the running track is 194.3 m
Step-by-step explanation:
Here, we are interested in calculating the distance around the running track.
We have two semi-circles of diameter 30m and two parallel straight lines of length 50m
Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m
Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends
Mathematically, that would be; πd
The circumference is thus; 22/7 * 30 = 94.29 m
Thus, the length of the running track will be 100 + 94.3m = 194.3m
Related Questions
Solve for x. 3x-91>-87 AND 17x-16>18
Answers
Answer & Step-by-step explanation:
For this problem, we have two inequalities to solve for x.
3x - 91 > -87
17x - 16 > 18
Now that we know what our inequalities are, we will solve them as if we are solving for the value of x.
3x - 91 > -87
Add 91 on both sides.
3x > 4
The solution for the first inequality is 3x > 4
Now let's do the second inequality.
17x - 16 > 18
Add 16 on both sides.
17x > 34
Divide by 17 on both sides.
x > 2
The soultion for the second inequality is x > 2
Answer:
The answer is x>2
Step-by-step explanation:
Still can’t get the answer
Answers
Answer:
Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.
Step-by-step explanation:
We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.
Looking at the whole numbers, [tex]2+3=5[/tex].
Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].
So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.
If she wants to get to 10, we need to find how many more yards we need.
Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.
[tex]10-6=4[/tex], so in total we added
[tex]4 \frac{1}{3}[/tex] more yards.
So she needs [tex]4 \frac{1}{3}[/tex] more yards.
Hope this helped!
Calculate the volume of the regular triangular pyramid
with the base edges of length 17 feet and a height of
length 5 feet. (Hint: Remember that the base of a
regular triangular pyramid must be an equilateral triangle, not
necessarily congruent to the sides of the pyramid.)
Answers
Answer:
70.83 ft³
Step-by-step explanation:
The volume of a pyramid is:
[tex]\frac{bh}{3}[/tex], where b is the base area and h is the height.
Let's first find the area of the base.
[tex]17\cdot5=85\\85\div2=42.5[/tex]
Multiplying this by 5:
[tex]42.5\cdot5=212.5[/tex]
Dividing by 3:
[tex]212.5\div3=70.83[/tex].
Hope this helped!
Identify the type of function represented by f(x) = 3/8(4)^x
A. Exponential decay
B. Exponential growth
C. Linear
D. Quadratic
Answers
variable is in power so it exponential.
the constant and coefficient both are positive so it is exponential Growth.
42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite
Answers
Answer:
[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]
Step-by-step explanation:
3x + 4y = 7
-3x - 4y = 7
Add both equations.
0x + 0y = 14
0 = 14
There are no solutions.
Answer:
A) 0
Step-by-step explanation:
Adding both equations.
0 + 0 = 14
0 = 14 (no solutions)
Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?
Answers
Answer:
35:40 = 7:8 is the equivalent ratio.
Step-by-step explanation:
35 / 5 = 7
40 / 5 = 8
=
7:8
Answer:
the equivalent ratio is 35:40 = 7:8
Step-by-step explanation:
35 divided by 5= 7
40 divided by 5= 8
=7:8
HAPLLAPLPAL! BRAINLIEST!
Answers
Answer:
D. 860 square inches
Answer:
D: 860 square inches
Step 1.
Remember:
w = 8
x = 5
y = 20
z = 11.3
Let's start with the bottom rectangular prism. The front and back of it is x * x
(5 * 5), so the from and back is 25 + 25 = 50.
The three long sides are x * y (5*20), so the three long rectangles are 100 * 3 = 300. The bottom shape is 350 in total.
Step 2.
The top two rectangles are w * y, (8 * 20) so the two top rectangles are 160 * 2 = 320.
The triangles are w * w / 2 (8 * 8/2) (64 / 2) (32), so the two triangles are 64.
We subtract x from z to get 6.3.
Then, we multiply 6.3 by 20. We get 126. Finally, we add all the values together to get our final answer.
350 + 384+126 = 860
Our answer is D: 860.
construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls don't give wrong answers
Answers
Answer and Step-by-step explanation: The described right triangle is in the attachment.
As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:
AC² = AB² + BC²
[tex]AB^{2} = AC^{2}-BC^{2}[/tex]
[tex]AB =\sqrt{AC^{2}-BC^{2}}[/tex]
[tex]AB =\sqrt{7^{2}-4.5^{2}}[/tex]
[tex]AB =\sqrt{28.75}[/tex]
AB = 5.4
Then, right triangle ABC measures:
AB = 5.4cm
BC = 4.5cm
AC = 7cm
If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the function f+g is ______
Answers
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
For function f:
x - 7 ≤ 0 and x ≥ 0
For function g:
x + 2 ≥ 0 and x - 5 ≤ 0
The sum of the f + g:
x - 7 + x - 5 ≤ 0
2x - 12 ≤ 0
2x ≤ 12
∴ x ≤ 6
Also, x + 2 ≥ 0
x ≥ -2
Hence, -2 ≤ x ≤ 6
The monthly budget is shown in the circle graph. The family has a
income of $4800 How much money do they spend on transportation each
C. $240
D. $288
Answers
Answer:
$240
Step-by-step explanation:
The amount they spend on a monthly basis for transportation = percentage represented on the circle covered by transportation ÷ 100% × the total monthly income.
= [tex] \frac{5}{100} * 4800 [/tex]
[tex] = 0.05 * 4800 = 240 [/tex]
Money spent on transportation = $240
Answer: the cash that is Paid each is 240$
Plzz help tysm if you do
Answers
Answer:
B
Step-by-step explanation:
it is defined for all values so D=R
also we can get any value
so Range =R
Answer:
B
Step-by-step explanation:
because that's odd power function it can take both, negative and positive values
-5r+8r+5 what is the anwser
Answers
Answer:
-5r + 8r +5
= (-5+8)r+5 (we can calculate number in same variabe)
= 3r +5
hope it helps ^°^
Answer:
3r + 5.
Step-by-step explanation:
-5r + 8r + 5
= 8r - 5r + 5
= 3r + 5.
Hope this helps!
Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243
Answers
Answer:
(B) -266
Step-by-step explanation:
The formula to find the nth term in a sequence is:
[tex]x_{n} = a + d(n-1)[/tex], where a is the first term and n is the "difference."
Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.
So:
[tex]x_n = 70 + -7(n-1)[/tex]
Solve for the equation:
[tex]x_n = 70 + -7n+7\\x_n = -7n+77[/tex]
Since we want to find the 49th term:
[tex]x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266[/tex]
Hope this helped!
Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.
Answers
Answer:
25 + 10h = 50+5h
Step-by-step explanation:
Black Diamond Ski Resort
25 + 10h
Bunny Hill Ski Resort
50+5h
We want when they are equal
25 + 10h = 50+5h
Answer:
10x + 25 = 5x + 50
Step-by-step explanation:
A sequence starts at 200 and 30 is subtracted each time . 200 , 170, 140 ...
What are the first two numbers in the sequence that are less than zero ?
Answers
Answer:
-10 & -40
Step-by-step explanation:
the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.
Answer:
-10 and - 40
Step-by-step explanation:
If 30 is subtracted.
30×6= 180
200-180=20
20-30= - 10
-10-30= - 40.
.:the first two numbers less than zero are. - 10 AND - 40
create a fraction using (-3,-2)(1,-6)
Answers
Convert to a simplified fraction.
(-3,-2)
3/2
(1,-6)
-1/6
Together they just equal -9, so hopefully, your teacher wants those fractions instead.
Evaluate the expression 5^3
Answers
Answer: Five to the power of three (5*5*5) is equal to 125.
Hope this helps!
Answer:
125
Step-by-step explanation:
[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]
find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}
Answers
Answer:
The lower quartile is 23.4
Step-by-step explanation:
The given data are;
47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4
Rearranging the data, we have;
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term
However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows
5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2
We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile
The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.
A function of random variables used to estimate a parameter of a distribution is a/an _____.
A. unbiased estimator
B. statistic
C. predictor
D. sample value
Answers
Answer:
A. unbiased estimator.
Step-by-step explanation:
In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.
A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.
An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.
Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.
Answer: B statistic
Step-by-step explanation:
it just is trust me
So... can someone help
Answers
Answer:
18 : 30
Step-by-step explanation:
Our ratio could look like this:
Number of games won : Number of games played
6 : 10
=> .6 : 1
Let's check whether the 1st option is correct.
=> 18 : 20
=> 1 x 20 = 20
=> .6 x 20 = 12
=> 12 : 20 is not equal to 18 : 20
The second option is 100% incorrect because the number of games won is greater than the number of games played.
let's check whether the 3rd option is correct.
=> 18 : 30
=> 1 x 30 = 30
=> .6 x 30 = 18
18 : 30 = 18: 30
So, the 3rd option is correct.
Answer:
18:30
Step-by-step explanation:
The ratio of games is 6 won out of 10 games
The ratio at the bottom that is 6:10 is
18:30
Divide each side by 3
18/3 : 30/3
6:10
Hii, can you help me ?
Answers
Answer:
The answer is about 15 cm because if you use a ruler, it is a little under 15cm
Step-by-step explanation:
Answer:
15cm
Step-by-step explanation:
most pens are under 15 cm by a a couple of millimeters. 15 cm is in fact the best estimate. It really depends on the pen your using but the average pen is about 15 cm.
n/2-3n/4+5n/6=21 please tell the answer
Answers
Answer:
n= 36
Step-by-step explanation:
36/2-3 x 36/4+5 x 36/6=21
please give me brainliest if i got this right
Answer:
n=36
Step-by-step explanation:
By simplifying both sides of the equation, then isolating the variable.
n=36
I did this quickly so sorry if it's no help
2 = 3 − q what does 9 equal
Answers
Step-by-step explanation:
2 = 3 - q
1 = (3 - q)×1/2
9 =(3 - q) ×1/2×9
9 = 27 - Q/2
Answer:
Step-by-step explanation
Please help,thanks!(:
Answers
Answer:
<4=<2
x+30=2x+15
x=15
therefore <4=(15)+30
=45°
Find the sets of values of x for which x(x+2) < x.
Answers
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Let's solve your inequality step-by-step.
[tex]x(x+2)<x[/tex]
[tex]x^2 + 2x < x[/tex]
Let's find the critical points of the inequality.
[tex]x^2 + 2x = x[/tex]
[tex]x^2 + 2x - x - x[/tex] (Subtract x from both sides)
[tex]x^2 + x = 0[/tex]
[tex]x ( x + 1 ) = 0[/tex] (Factor left side of equation)
[tex]x = 0 |OR| x + 1 = 0[/tex] (Set factors equal to 0)
[tex]x = 0 |OR| x = -1[/tex]
Check intervals in between critical points. (Test values in the intervals to see if they work.)
[tex]x < - 1[/tex] (Doesn't work in original inequality)
[tex]-1 < x < 0[/tex] (Works in original inequality)
[tex]x > 0[/tex] (Doesn't work in original inequality)
So the answer is : [tex]-1 < x < 0[/tex]
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If this helped you, could you maybe give brainliest..?
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The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.
Answers
The product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
How to find product of expressions(4z² + 7z – 8) and (–z + 3)
= -4z³+ 12z² - 7z² + 21z + 8z - 24
collect like terms= -4z³ + 5z² + 29z - 24
Therefore, the product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
Learn more about product:
https://brainly.com/question/10873737
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1. Suzette ran and biked for a total of 80 miles in 9 hours. Her average running speed was 5 miles per hour (mph) and her average biking speed was 12 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike?
Answers
Answer:
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
Step-by-step explanation:
Speed is rate of distance traveled, it is the ratio of distance traveled to time taken. It is given by:
Speed = distance / time
The total distance ran and biked by Suzette (d) = 80 miles, while the total time ran and biked by Suzette (t) = 9 hours.
For running:
Her speed was 5 miles per hour, let the total hours Suzette ran be x and the total distance she ran be p, hence since Speed = distance / time, therefore:
5 = p / x
p = 5x
For biking:
Her speed was 12 miles per hour, let the total hours Suzette ran be y and the total distance she ran be q, hence since Speed = distance / time, therefore:
12 = q / y
q = 12y
The total distance ran and biked by Suzette (d) = Distance biked + distance ran
d = p + q
80 = p + q
80 = 5x + 12y (1)
The total time taken to run and bike by Suzette (t) = time spent to bike + time spent to run
t = x + y
9 = x + y (2)
Solving equation 1 and equation 2, multiply equation 2 by 5 and subtract from equation 1:
7y = 35
y = 35/7
y = 5 hours
Put y = 5 in equation 2:
9 = x + 5
x = 9 -5
x = 4 hours
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
PLEASE HELP ASAP!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answers
Answer:
[tex] IJ = 2(KL) [/tex]
Step-by-step explanation:
From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.
Therefore, line IJ would be twice the length of KL.
The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]
A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Answers
Answer:
D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.
Step-by-step explanation:
I believe that is correct....
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage.
Answers
Answer:
C. Quadratic model
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Given:
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left with time= 1000 - 10×t
Where;
t = Time in minutes
Value of the corn = Amount of corn left × Price of corn
Value of the corn = (1000 - 10×t) × (5 + 0.15×t)
=(1000-10t) × (5+0.15t)
=5,000 + 150t - 50t - 1.5t²
= -1.5t² +100t + 5000
Value of the corn= -1.5t² +100t + 5000.
It is a quadratic model
