Answer:
It can take up to 10 times as long in typical icy conditions.
Step-by-step explanation:
Of course, it can take much longer with variable factors such as the condition of the ice, your speed, and your tire-to-ground friction.
Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then 15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month can anybody tell me the answer
Answer:
Step-by-step explanation:Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
50% of what number is 307
Answer:
614
Step-by-step explanation:
Let the number be x.
50% × x = 307
0.5x = 307
x = 307/0.5
x = 614
50% of 614 is 307.
Answer:
614
Step-by-step explanation:
50% means half. So,
x ÷ 2 = 307
x = 307 × 2
x = 614
Have a blessed day!
3 more sentences to describe the line plot picture above
Answer:
1) Length 22 and 26 have the same amount of desks that have the same length
2) Lengths 21, 23, 25, and 27 have the equal amount of tables
Step-by-step explanation:
3) There are 12 desks in total
Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length
Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length
Explaination of sentence 3 is that there are 12 desks that are measured.
If this helped please mark me brainliest :)
At a sale this week, a sofa is being sold for $429. This is a 34% discount from the original price. What is the original price
Answer:
$574.86
Step-by-step explanation:
429 + 34% = $574.86
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
Read more on supplementary angles here:
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In one city, customers must pay 6% on all items purchased. The video game controllers cost $18.50 each. If a customer purchases 2 controllers, how much tax will she pay? A. $1.11 B. $2.22 C. $19.61 D. $39.22
Answer: B $2.22
Step-by-step explanation:
2 controllers will cost
= 2 x 18.50 = 37
6% tax = 37 x 0.06 = 2.22
Answer:
B
Step-by-step explanation:
i took the test
(1−cos^2 x )·(1+tan^2 x)
Answer:
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
Step-by-step explanation:
Given
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
Required
Solve
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
In trigonometry;
[tex]1 - cos^2x = sin^2x[/tex]
So, make substitution
[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]
Also; in trigonometry:
[tex]1 + tan^2x = sec^2x[/tex]
Make another substitution
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]
Recall that [tex]secx = \frac{1}{cosx}[/tex]
So;
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]
In trigonometry;
[tex]tan x = \frac{sin x}{cos x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
The expression cannot be further simplified
A coordinate plane. A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line? –3 –2 2 3
Answer:
x-intercept is equal to 2 (Option 3)
Step-by-step explanation:
Slope = m = -3/2
y-intercept = b = 3
Putting in the slope-intercept form
=> y = [tex]\frac{-3}{2} x+3[/tex]
For finding x- intercept, y must be equal to 0
=> 0 = (-3/2)x+3
=> -3/2 x = -3
=> 3/2 x = 3
=> 3x = 6
Dividing both sides by 3
=> x = 2
Answer:
the third option 2
Step-by-step explanation:
What is the end behavior of the function f(x)=54x2? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞
Answer:
3f(x)
3x^2
12
-x+6
0
Step-by-step explanation:
Fashoo
Which is the expected value of the random variable with the given probability distribution?
a 5.65
C. 12.52
b. 100.44
d. 5
Please select the best answer from the choices provided
A
B
С
D
The probability distribution is given below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Answer:
C. 12.52
Step-by-step explanation:
Given the probability distribution below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Expected Value of the random variable
=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)
=0+ 0.32+1.2+1+10
=12.52
The correct option is C.
Answer:
D
Step-by-step explanation:
A rectangle has sides measuring (3x + 2) units and (5x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive
full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Answer:
A:
(4x+5)(3x+10)=
(12x^2) + (40x) + (15x) + (50)
12x^2 + 55x + 50
B: 2nd degree trinomial.
C: it is demonstrated in part A because when we added it, the variable do not change and neither do the exponents.
Step-by-step explanation:
do not copy. used this on my test.
what is the factored form of[tex]-2mn + 5m^3n^2[/tex]
Step-by-step explanation:
factor out mn ..polynomial
[tex] - 2 + 5n {}^{4} \: is \: not \: factored \: as \: it \: dosent \: hav e \: any \: rational \: roots \: \\ mn( - 2 + 5n {}^{2} n {}^{2} )[/tex]
Find the value of x.
40°
45°
77°
2x°
x°
Answer:
the correct answer is 47
Answer:
The value of x is 66°
Hope it helps!
Step-by-step explanation:
The sum of exterior angles of a polygon is always 360°
So since the angles are given
40+45+77+2x+x = 360
(40+45+77)+(2x+x)= 360
162 + 3x = 360
3x = 360-162
= 198
x= 198/3
= 66°
2x-3y=21 -6x+2y=7 I also need to be shown how to solve this
Answer:
(-9/2 , -10)
Step-by-step explanation:
2x-3y=21
-6x+2y=7
Multiply the first equation by 3
3(2x-3y)=21*3
6x - 9y = 63
Add this to the second equation to eliminate x
6x - 9y = 63
-6x+2y=7
------------------
0x -7y = 70
Divide by -7
-7y/-7 = 70/-7
y = -10
Now find x
2x- 3y = 21
2x -3(-10) = 21
2x +30 =21
subtract 30 from each side
2x = 21-30
2x= -9
Divide by 2
x = -9/2
(-9/2 , -10)
Now lets solve it by elemination method !
[tex]:\implies\sf 2x-3y=21--------(1)\\ \\ \\ :\implies\sf -6x+2y=7-------(2)\\ \\ \\ \sf Eleminate\ (x) \\ \\ \\ \it Multiply\ first \ equation \ with \ 3\ \ \ and \ 2nd \ \ with \ 1 \\ \\ \\ :\implies\sf (2x-3y=21)\times 3 \\ \\ \\ :\implies\sf (-6x+2y=7)\times 1\\ \\ \\ :\implies\sf 6x-9y=63------(3) \\ \\ \\ :\implies\sf -6x+2y=7-----(4)\\ \\ \\ \it\ \ Add \ equation\ 3\ \ and \ 4\\ \\ \\ :\implies\sf 6x-9y=63+ (-6x+2y= 7)\\ \\ \\ :\implies\sf (6x-6x)+(-9y+2y) = 63+7\\ \\ \\ :\implies\sf 0-7y=70\\ \\ \\ :\implies\sf y= \cancel{\dfrac{70}{-7}}= - 10\\ \\ \\ :\implies\sf y= -10 [/tex]
★ Now find the value of x
let's substitute the value of y in equation 4
[tex]:\implies\sf -6x+2y=7\ \ \ \ \ \ (y= -10)\\ \\ \\ :\implies\sf -6x+2\times (-10)=7\\ \\ \\ :\implies\sf -6x-20= 7\\ \\ \\ :\implies\sf -6x = 7+20 \\ \\ \\ :\implies\sf x= \cancel{\dfrac{27}{-6}}= \dfrac{-9}{2}[/tex]
[tex]\underline{\textit{ \ \ So, \ the \ value \ of \ x\ and \ y }}[/tex]
[tex]\bigstar{\boxed{\sf x= \dfrac{-9}{2}}}[/tex]
[tex]\bigstar{\boxed{\sf\ y= (-10)}}[/tex]
If abc def, which congruence are true by cpctc? Check all that apply
Answer:
C, D and E
Step-by-step explanation:
From the congruence postulate, CPCTC(Corresponding parts of congruent triangles are congruent) The following are congruent and corresponding:
=> AC = DF
=> <A = <D
=> BC = EF
Answer: If you have different answers the answers are
C=F and AB=DE
Step-by-step explanation:
the table shows the heights of 40 students in a class explain why your answer for a) is an estimate
Answer:
See below
Step-by-step explanation:
You have to find the number in the middle of all of the heights and multiply them by the all of the frequency. When you have those answers, add them together and divide the answer by 40. That is why, our answer in part (a) is an estimate.
The mean is the average value of an observation, the mean of the grouped data is 129.3 cm
The mean value can be calculated using the relation :
ΣfX/Σf Sample size, ΣF x = midpoint = (x1 + x2) /2ΣF = (7 + 8 + 13 + 9 + 3) = 40
Σfx = (7 × 122) + (8 × 126) + (13 × 130) + (9 × 134) + (3 × 138) = 5172
Mean = ΣFx /ΣF
Mean = 5172 / 40 = 129.3 cm
B.)
The mean value obtained is an estimate because, calculation used the midpoint value existing within a certain range, and not the exact height value of individual student.
Learn more :https://brainly.com/question/17007926
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY. Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 60 megabytes on it before the transfer, and an additional 4 megabytes were transferred onto it each second. Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
Answer:
If you use a graphing calculator, at x= 0 (t =0) the graph starts at 60 mb and then climbs 4 mb per sec (slope = 4 mb/sec) from there until Agent Hunt gets caught and executed for espionage.
Hope this helps!
A sprinter travels a distance of 100 m in a time of 9.67 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
average speed of sprinter will be 10.42m/s
Step-by-step explanation:
distance covered=s=100m
time taken=t=9.67m/s
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{100m}{9.67s}[/tex]
average speed=10.42m/s
To find the distance an object has traveled, you use the formula D=RT; where D=distance, R=rate and T=time. Find how far a person drove if he traveled at a rate of 55 miles per hour for 5 hours. A. 11 miles B. 110 miles C. 275 miles D. 385 miles
Answer:
D =275 miles
Step-by-step explanation:
The rate is 55 miles per hour and the time is 5 hours
D = RT
D = 55*5
D =275 miles
Answer:
C. 275 miles
Step-by-step explanation:
D = RT
We have R and T already, so
Step 1: Replace variables
D = (55mph)(5 hours)
Step 2: Solve
D = 275 miles
And we have our answer!
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
Answer:
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
How is the expression (5 + y) ⋅ 8 described by its factors and terms? It has two factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has two terms. It has two factors and the factor (5 + y) has two terms.
Answer:
A
It has two factors and the factor (5 + y) has one term.
Step-by-step explanation:
5 + y is one term because y is just 1 term
pls brainliest
Purple square equals to ________?
Answer: its 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Because their are 2 squares
What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet. 2,001 square feet 2,376 square feet 2,592 square feet 4,320 square feet
Answer:
Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
Answer:
Answer:
(B) Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Classify the following triangle as acute, obtuse, or right.
80°
A. Obtuse
B. Acute
C. Right
D. None of these
Answer: I'm guessing it's acute
Step-by-step explanation:
Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute
Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.
Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)
Answer:
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Step-by-step explanation:
Given
Quadrilateral QRST
Dilated Factor = 2
Required
Find the coordinates of Q'R'S'T'
To do this, we first have to identify the coordinates of QRST
[tex]Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)[/tex]
Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below
Q'R'S'T' = 2 * QRST
Q' = 2 * (-2,2)
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Answer:a
Step-by-step explanation:
Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4)
Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30
cases of water?
Water Prices by the Case
Number of cases
Price in dollars
15
66.00
20
88.00
35
154.00
$99.00
$119.00
$121.00
$132.00
Answer:
132 dollars, I think
Step-by-step explanation:
15*2=30
66*2=132
Answer:
D
Step-by-step explanation:since 15 cases is $66 multiply 66 by 2 to get $132
solve the following system of equations: 2x+3y-z=1 3x+y+2z=12
x+2y-3z=-5
Answer:
x=-3 y=19/7 z=7
Step-by-step explanation: