Answer:
the time taken to complete two whole number and a half laps is
1 ²/₃ min
Step-by-step explanation:
Given;
time taken to complete 1 lap, = 2/3 minutes
The time taken to complete 2 and 1/2 laps is calculated as follows;
[tex]Time \ taken= \frac{2}{3 } \frac{\min}{lap} \ \times \ 2\frac{1}{2} laps\\\\Time \ taken = \frac{2}{3} \frac{\min}{lap} \ \times \ \frac{5 }{2} laps= \frac{5 }{3} \min = 1\frac{2}{3} \min[/tex]
Therefore, the time taken to complete two whole number and a half laps is
1 ²/₃ min
PLEASE HELP
I MARK THE BRAINLIST
Answer:
1.6
Step-by-step explanation:
Hi there!
[tex]\large\boxed{D = 1.6}[/tex]
To find the decimal, we must look at the amount of subdivisions between 1 and 2.
Counting, we get 10 divisions, so each increment is by 0.1.
D is located at the sixth line from 1, so:
1 + 6(0.1) = 1 + 0.6 = 1.6
At the calendar shop, wall calendars cost $10 and desk calendars cost $6. Kira spent $60 to buy 8 calendars. How many of each type of calendar did Kira buy?
Answer: 3 desk calender's and 3 wall calendars
Step-by-step explanation: 6 x 5 = 30 and 3 x 10 = 30
30 + 30 = 60
5/8+3/4 over this problem(/) -2/3-5/6.
Answer:
5/8 + 3/4= 11/8
-2/3-5/6 =-3/2
Since the second is dividing the first
11/8 ÷ -3/2
Flipping; Then change the bottom to the top(Do this to the second fraction)
11/8 x -2/3
=-11/12.
A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita rate of increase of 0.15. How many chipmunks are currently in this population
Answer:
There are 1766 chipmunks in the population
Step-by-step explanation:
Number of individuals increasing per year = 265
Rate of increase = 0.15
Rate of increase = increase in number of individuals in a given population /total population
Substituting the given values, we get -
0.15 = (265/total population)
Total population = 265/0.15 = 1766
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]
please help and show work
9514 1404 393
Answer:
5. x° = 38°; b° = 90°
6. m∠TSU = 110°
Step-by-step explanation:
The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.
__
5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°
x° = 38°
Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.
b° = 90°
__
6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:
long arc SU = 360° -140° = 220°
Angle TSU is half that measure: 220°/2 = 110°.
m∠TSU = 110°
A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.
Answer:
339.29
Step-by-step explanation:
Use formula for cylinder: [tex]V=\pi r^2h[/tex].
Note: I rounded to the nearest hundreth.
$3840 with a discount of 10%
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
what is the variable if 13 and p
Answer:
p because variables are shown by letters not numbers
Hope this helped:)
Step-by-step explanation:
HELP PLEASE! I NEEDED IT! T0T
Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.
Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.
We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.
Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.
So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.
SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG
Answer:
I believe the answer is 58.1 degrees
Step-by-step explanation:
acrsin 45/53=58.1
45/53 is the sin of P
Rachel has 132 baseball card his brother has 5/6 as many baseball card how many baseball card does his brother have
Answer:
110
Step-by-step explanation:
5/6 of 132 is 110
division the following simply your answer
Answer:
1) 12 - 8/3 = ((12*3)-(8))/3 = 28/3
2) 10/ (4/7) = (10/1)*(7/4) = 70/4
3) 12/5 + 4/6 = ((5*4)+(12*6))/(5*6) = 46/15
The length of 12cm and 5 cm missing one
Answer:
13cm
Step-by-step explanation:
Let the given lengths be the opposte amd adjacent sides of a right triangle'
The missing side will be the hypotenuse
Using the pythagoras theorem;
hyp^2 = 5² + 12²
hyp² = 25 + 144
hyp² = 169
hyp =√169
hyp = 13cm
Hence the missing one is 13cm
Which graph represents a function? On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0). On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5). On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4). On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
Answer:
d
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
Find the volume of the figure. Use 3.14 for Pi
Answer:
The answer would be 17
Step-by-step explanation:
The answer would be 17 because if you add 12 plus 5 That would be your answer
Please help check if this is correct?
Answer:
50 is correct
Step-by-step explanation:
did my math but I know you need it quick so sorry for brief answer
Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=
Answer: 303
Step-by-step explanation:
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
a) Complete the table of values for y = x2 + 1
Look at the graph, No Links
Answer:
y = - 0.5
loco loco, loco loco, loco loco ooo
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
help no files and no links pls help
Answer:
X would be equal to 37 degrees
Step-by-step explanation:
Answer:
x=37
Step-by-step explanation:
118+25+x= 180
143 + x = 180
= 37
check answer by 25+118+37=180
Solve the expression below: 3(x-3) + 2x(4x+6)=
Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4
Answer:
35.2 ; 4.75
Step-by-step explanation:
Given that :
Mean age, μ = 35.2 years
Standard deviation, σ = 9.5 years
The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.
The standard deviation of the sampling distribution, is given by : σ/√n
n = sample size = 4
SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75
help me with this please
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
NO LINKS Please and thank you
12 1/2-(4 1/2) = ? I really need help
Answer:
8
Step-by-step explanation:
So we have 12 1/2 - (-4 1/2)
6-(-2)
6+2
8
[tex] \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]
____________________Solution :-Given Information :-Fraction 1 ➢ [tex] \sf12 \frac{1}{2} [/tex]Fraction 2 ➢ [tex] \sf -4 \frac{1}{2} [/tex]Operation ➢ Subtraction To Find :-The difference between two fractionsCalculation :-[tex] \sf: \implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]
Firstly, converting mixed fractions to improper fractions, We get,
[tex] \sf: \implies \frac{25}{2} - ( - \frac{9}{2} ) = \boxed?[/tex]
Now, solving the parentheses, We get,
[tex] \sf: \implies \frac{25}{2} + \frac{9}{2} = \boxed ?[/tex]
Since, We have like terms, We will directly add up the two fractions, We get,
[tex] \sf: \implies \frac{25 + 9}{2} = \boxed?[/tex]
Calculating further, We get,
[tex] \sf: \implies \frac{34}{2} = \boxed?[/tex]
Bringing the fraction to it's lowest terms, We get,
[tex] \sf: \implies \frac{ \cancel{34} \: \: \tiny{7}}{ \cancel2} = \boxed7[/tex]
[tex] \sf :\implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{ \bf7 }}[/tex]
____________________Final Answer :-[tex] \sf \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{\bf7 }}[/tex]____________________Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Answer:
Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.
Step-by-step explanation:
Leah needs to order some new supplies for the restaurant where she works. The restaurant needs at least 748 knives. There are currently 214 knives. If each set on sale contains 12 knives, write and solve an inequality which can be used to determine ss, the number of sets of knives Leah could buy for the restaurant to have enough knives.
Answer: s (greater than or equal to) 44.5
Step-by-step explanation:
current # of knives = 214
knives per set = 12
knives needed = 748
# of sets = s
knives per set x (times) # of sets + current # of knives (greater than or equal to) knives needed
12s + 214 (greater than or equal to) 748
SOLVE:
12s + 214 (greater than or equal to) 748
-214 -214
12s (greater than or equal to) 534 you need to divide both sides by 12
s (greater than or equal to) 44.5