Answer:
Cathy was driving at a speed of 67 miles per hour.
Step-by-step explanation:
Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.
We solve this using a rule of three.
1 mile - $15
x miles - $105
Applying cross multiplication:
15x = 105
x = 105/5 = 7.
Cathy was 7 miles above the speed limit.
How fast was Cathy driving?
7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.
Cathy was driving at a speed of 67 miles per hour.
Help me PLEASEEEEEEEEEEEEE
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
I need help fast plz
You don’t need to show work
Step-by-step explanation:
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Which of the following statements is not true regarding the function y = 2"?
A. The function is an exponential function.
B. The function has a domain of all real numbers.
C. As the value of x gets very large, the value of y gets close to zero.
D. As the value of x increases by one, the value of y doubles.
prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55
Answer:
1/4; 0.4; 0.55; 3/5
0.25, 0.40, 0.55, 0.60
Already in order.
0.4; 1/4; 0.55; 3/5
0.40, 0.25, 0.55, 0.60
1/4; 0.4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
0.25, 0.60, 0.40, 0.55
1/4; 0.4; 0.55; 3/5
3/5; 0.4; 1/4; 0.55
0.60, 0.40, 0.25, 0.55
1/4; 0.4; 0.55; 3/5
Three stores have the same mp3 player
for sale. The regular price of the player is
$50. Store A is offering the player on sale
at 15% off the regular price. Store B is
offering a $10 coupon to be deducted
from the regular price. Store C is offering
a rebate of $7.50 to purchasers. Which
store is offering the mp3 player at the
lowest cost?
A Store A
B Store B
C Store C
Store A and Store C
Answer: Store C
Step-by-step explanation:
Store A is giving 15% off. 15% of 50 is 7.5.
50 - 7.5 = 42.5
Store B $10 dollar coupon.
50 - 10 = 40
Store C is offering $7.50 back.
50 - 7.50 = 42.5
Answer is store c
Store c is giving you $10 off where the other two stores are just give you $7.50.
Hope this helps.
Please help me with this please
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number
Answer:
The mean of this sample is 203.
The variance of this sample is 3154.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
In this case:
[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]
Rounding to the nearest whole number, 203.
Variance:
Sum of the difference squared between each value and the mean, divided by the number of values. So
[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]
Rounding to the nearest whole number, 3154.
The mean of this sample is 203. The variance is 3154.
The variance of this sample is 3154.
Mean is given by,
[tex]M=\frac{192+113+200+287+225}{5}[/tex]
M=203.4
Sum of all values divided by the number of values.
In this case:
[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]
Rounding to the nearest whole number, 203.
What is the variance?Some of the differences squared between each value and the mean are divided by the number of values. So
[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]
Rounding to the nearest whole number, 3154.
To learn more about the variance visit:
https://brainly.com/question/25639778
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Express 75cm/s in m/s
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
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Find the Volume.
10 points
7 m
5 m
4 m
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
Can someone please help?
Answer:
1515
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
Rewrite the expression in the form
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
You start at (2, -1). You move down 3 units and left 3 units. Where do you end?
Answer:
(-1,-4)
Step-by-step explanation:
(2, -1)
Moving down 3 means subtract 3 from the y value
Left 3 means subtract 3 from the x value
(2-3, -1-3)
(-1,-4)
Compare the two leagues and predict which league would be more likely to win a game. 2 tables. Table 1 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 34, 45, 62, 92, 111. Column 2 is labeled W with entries 50, 65, 72, 83, 105. Table 2 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 72, 80, 88, 97, 109. Column 2 is labeled W with entries 79, 84, 87, 89, 102.
Answer:
79
Step-by-step explanation:
Answer:
edge 2021
Step-by-step explanation:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]
A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?
Answer:
624
Step-by-step explanation:
12+18+22=52 52×12=624
Answer:
624
Step-by-step explanation:
12x12= 144 cookies
18x12= 216 muffins
22x12= 264 scones
144+216+264= 624
What is the y-intercept of the line given by the equation y=5x+16 ?
Answer:
16
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
-----------------------
y = 5x + 16
is in slope intercept form
b, the y-intercept is 16
which is point (0, 16)
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Answer:1.50
Step-by-step explanation:None
Answer: the answer is d
Step-by-step explanation:
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 50Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when music is played during an exam. She selects 10 of her friends to take an exam with the lights off and another 10 of her friends to take an exam with music playing.
Required:
What is problematic about the way that Elena selected her groups?
Answer:
Problematic is that - only one factor should be analysed at a time. However she has considered both.
Step-by-step explanation:
Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.
In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.
She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.
If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.
What is the missing number?
The possible answers are -19, 19, 24 and -15
Answer:
15 because it says -(-2) so that means it is negative in something so your answer will be 15
Step-by-step explanation:
I need help asap
Do the following sides form a triangle?
25 cm
17 cm
42 cm
Answer:
no
explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side
Please Help uwu
Let f(x) = 4 - x^2 and g(x) = 2 - x. Find(f - g)(x)
Answer:
-x^2 +x +2
Step-by-step explanation:
f(x) = 4 - x^2 and g(x) = 2 - x
(f - g)(x) = 4 -x^2 - (2-x)
= 4 -x^2 - 2+x
= -x^2 +x +2