A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
What is a rate?
A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.
It is also the measure of a part with respect to a whole or a proportion.
Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
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What are the vertex, focus, and
directrix of the parabola with
equation y-6=2(x-4)²?
Answer:
vertex (2,6)focus(49/8,2)directrix y=47/8Work out the surface area of this cylinder...
Give your answer in terms of л.
Answer:
Step-by-step explanation:
who is father of math?
Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer:
Archimedes
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
Help me pleas. You might have to zoom in on the picture to see better.
Answer:
1/2, -1/8, 1/32
Step-by-step explanation:
[tex] - 2( - \frac{1}{4} ) = \frac{1}{2} [/tex]
[tex] \frac{1}{2} ( - \frac{1}{4} ) = - \frac{1}{8} [/tex]
[tex] - \frac{1}{8} ( - \frac{1}{4}) = \frac{1}{32} [/tex]
Question 1 of 10
What is the volume of the cylinder below?
A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3
The volume of the cylinder shown below is 252πcm³
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius
h is the height
Given the following
radius = 6 units
height = 7 units
Substitute
V = πr²h
V = π(6)²(7)
V = 252πcm³
Hence the volume of the cylinder shown below is 252πcm³
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What is the period of the graph of y=1/2 sin (2x)-3?
A.3
B.2
C.1/2
D. Pi
The period of the y=1/2 sin (2x)-3 is 2.
We have given that,
y=1/2 sin (2x)-3
We have to determine the period
What is the period?
A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.
Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.
So 2pi·1/pi = 2
The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
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Answer:
It's actually D. Pi.
Step-by-step explanation:
I have no clue what the other guy was saying. The period of this graph is Pi or π.
Principal: $4,000 at 6% for a) 4 years, b) 4 months, and c) 4 days.
Answer:
If you're asking for the interest:
a) 960
b) 80
c)2.63 approx.
Step-by-step explanation:
interest = principal x rate x time OR [tex]I = prt[/tex]
TIME IS IN YEARS.
Thus, the first would be [tex]I = 4000 *4 *6%[/tex]% = 960
Second: 4 months = [tex]\frac{1}{3}[/tex] year
I = 4000x[tex]\frac{1}{3}[/tex]x6% = 80
Third: t = 4 days =[tex]\frac{4}{365}[/tex]year
I = 4000x6%x[tex]\frac{4}{365}[/tex] ≈ 2.63
sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}[/tex] can be simplified as shown below.
[tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)[/tex]
Hence, The simplified version of the given expression is (3√2-2)√x³.
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What is the value of y?
Enter your answer in the box.
Answer:
5
Step-by-step explanation:
As seen in the figure, we know that because ΔABC is isosceles, ∠B = ∠C, so we know that 75 = 3x, x = 15. Next, following the rule that all angles in a triangle sum to 180°, we can set up this equation and solve it:
4y + 10 + 75 + 75 = 180
4y = 180 - 160
y = 20
∴ y = 5
Solve for w.
w^2-9w+18=0
Answer:
w = 3 or 6
Step-by-step explanation:
[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]
What is the equivalent exponential expression for the radical expression below? √3+7
Answer:
09 l
Step-by-step explanation:
p0-9
The equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To convert the given radical expression √(3 + 7) into its equivalent exponential expression. This process involves using exponentiation to represent the radical form.
The given radical expression is √(3 + 7). To find its equivalent exponential expression, we need to express the radical in terms of an exponent.
Recall that a radical expression of the form √(a) is equivalent to raising 'a' to the power of 1/2. In this case, 'a' is the quantity inside the radical, which is 3 + 7. So, we can write:
√(3 + 7) = (3 + 7)^(1/2).
Next, we simplify the expression inside the parentheses:
3 + 7 = 10.
Now, the expression becomes:
(10)^(1/2).
To further simplify, we raise 10 to the power of 1/2. Recall that raising a number to the power of 1/2 is the same as finding the square root of that number. So:
(10)^(1/2) = √10.
Therefore, the equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To summarize, we transformed the radical expression √(3 + 7) into its equivalent exponential expression √10 by using the rule that √(a) is equal to a^(1/2). By raising the expression inside the radical to the power of 1/2, we simplified it and found the square root of 10 as the final result.
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I’m having trouble understanding how to solve this someone please help ASAP thank you!
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.
Answer:
Answer is 71.95°
Step-by-step explanation:
Cosine formula is
a^2=b^2+c^2-2bc(cosA)
cos A =b^2+c^2-a^2/2bc
if a= 119,b=94,c=173
cos A=94^2+173^2-119^2/2(94*173)
=8836+29,929-14,161/2(16,262)
=38765-14,161/32,524
=24604/32,524
=0.7564
cos A=0.7564
cos^-1=40.85°.that's for angle A.
Using the same formula
B=31.1°
C=180-(40.85+31.1)
C=180-71.95
C=108.05
Since angle on a straight line is 180
therefore x is 71.95
Also the sum of angles A and B
For a given interest rate, simple interest varies jointly as principal and time. If $2000 left in an account for 4 yr earned interest of $280, how much interest would be earned in 6 yr?
can you please help me !! I need help ASAP !!
Reason:
The line is going uphill as it moves to the right.
En una clase hay 30 alumnos. Las 3/5 partes son chicas ¿Cuántas chicas hay?
Answer:
18
Step-by-step explanation:
30/5=6
6*3=18
A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.
Bags that have both zip and button
= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons
= 140 - 21 - 39 - 23
= 57
Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,
n = Bags that have both zip and button + Number of bags with zips but no buttons
= 37 + 21
= 78
Hence, the number of bags that zips on them is 78.
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Answer:
Bags with zip = (bag with button and zip) + (bag with no button but only zip)
i.e.,
Rotal bags – (bags with neither of two + bags with only buttons)
=> 140-(39+23)
=> 140-62
=> 78
So, 78 bags have zips on them.
[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Step-by-step explanation:
please mark me as brainlest
Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data
Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]
x = Data points in Data set x
y = Data points in Data set y
[tex]x_{m}[/tex]= Mean of Data set x
[tex]y_{m}[/tex]= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
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Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
If j is 53 degrees and l is 29 how much is k?
Answer:
98
Step-by-step explanation:
There are 180 degrees in a triangle.
180 - 53 - 29 = 98
Select the correct answer.
What is √x^9y^4
in simplest form?
Answer:
x^3y^2
Step-by-step explanation:
[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]
Write the algebraic expression for the following statement.
A number plus 15.
Answer:
the algebraic expression is; x+15
Find magnitude of theta. Was told two major things are triangle angles equal 180 and alternate interior angles.
The measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have a diagram shown in the picture.
The measure of an angle is 30 degrees shown.
The triangle is a right-angled triangle
30-60-90
Two parallel lines are shown which are intersected by a transversal.
The adjacent angle is 60 degrees.
The measure of angle θ:
θ = 90 - 60
θ = 30 degrees
Thus, the measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.
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find x if 2+x = -2/3
Please help me with this one question ASAP
Answer:
the red parallelogram had x=6
for the blue one, other sides values must be known which is not in the picture
Step-by-step explanation:
Match each logarithmic equation with its equivalent exponential equation. Drag the tiles to the correct boxes. Not all tiles will be used.
Answer:
Step-by-step explanation:
[tex]log_{b}a=c = > b^c=a\\ln(a) = > log_{e}a=c = > e^c=a\\log(a) = > log_{10}a=c = > 10^c=a[/tex]
[tex]log(1000) = 3 = > =10^3 =1000\\ log_{5}(25)=2 = > 5^2=25\\log_{12}144=x = > 12^x=144\\ln(12) =x = > e^x=12[/tex]
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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Which pairs of angles in the figure below are vertical angles?
Check all that apply.
[ ISN} and {TSW} so the answer is D
It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. which function models the horizontal displacement as a function of time in seconds?
The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
How to model the function?The given parameters are:
Time, t = 1.5 secondsHorizontal distance, h = 10 inchesStart by calculating the amplitude, A using:
A = h/2
This gives
A = 10/2
A = 5
Next, we calculate the period using:
B = π/t
This gives
B = π/1.5
Evaluate
B = 2π/3
The pendulum is at the middle.
So, it has no vertical displacement
The function is then represented as:
y = Acos(Bx)
This gives
y = 5cos(2π/3 x)
Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
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simplify -9(5 - 2) - 111÷3 show all work
Answer:
-64
Step-by-step explanation:
use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
-9(5 - 2) - 111÷3 =
-9(3) - 111÷3 =
-27 - 111÷3 =
-27 - 37 =
-64