Answer:
d
Step-by-step explanation:
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
Find the indicated length
4x + 4 = 14 + 14
4x + 4 = 28
4x = 24
x = 6
Verification : 3×6 - 4 = 14
4×6+4 = 28
.........
A Rohmbus has an area of 40 cm^2 and adjacent angles of 50 degree amd 130 degree. Find the length of a side of rohmbus
Answer:
7.2 cm
Step-by-step explanation:
The adjacent interior angles of a rhombus must be supplementary.
Let ABCD be the rhombus whose area is 40 cm².
Let the diagonals AC and BD intersect at O.
If s is the side, one-half diagonal = s× sin(25) and the other is s× sin(65) = s × cos(25)
Area of a rhombus = ½× (a×b)²× sin(ø)]
side length, a = b
Area of rhombus = ½× s² × sin(25)cos(25)
40 cm² = ½ × s² × sin(25)cos(25)
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)]
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°
sin(a)cos(b) = 2[sin(x+y)+sin(x-y)] Since x = y = 25°sin(a)cos(b) = 2[sin(x+y)]
》40 cm² = ½ × s² × 2sin(50)
》40 cm² = s² × sin(50)
[tex] {s}^{2} = \frac{40}{ \sin(50) } \\ s = \sqrt{ \frac{40}{ \sin(50) } } [/tex]
s = 7.2260841106 cm
Therefore, the length of the side of a rhombus, s is 7.2 cm
please do help - this is my TENTH TRY DOING THIS
Answer: Box A is the first 2
Box C is the 3 option
Step-by-step explanation:
PLEASE HELP 25points!
Answer:
2×10⁵ is the same as 200,000 and 3×10⁴ is the same as 30000 so this simply means you have to multiply the 2 figures and give the answer in standard form
200,000×30000
6000000000
which will be written as
6×10⁹
I hope this helps
ALGEBRA 1 MATH PLEASE HELP !!
Answer:
|x| - 5
Step-by-step explanation:
Subtracting on the outside translates vertically (down).
DECIDE !!!!!!!!!!!!!
Answer:
55Step-by-step explanation:
Use the identity for the sum of squares of n natural numbers:
Sₙ² = n(n + 1)(2n + 1)/6Since we have the sum, 56980:
n(n + 1)(2n + 1)/6 = 56980(n² + n)(2n + 1) = 56980*62n³ + 3n² + n - 341880 = 0Solve the equation graphically to get a natural solution of n = 55
Julie wants to draw square that has an area of 17 in.² what is the exact length of a square with this area
Answer:
√17
Step-by-step explanation:
Since it's a square, the area will simply be the side length squared. Therefore, we can take the square root of 17 to get the exact length. Since 17 is a prime number, it cannot be simplified any further.
A lumberjack can cut a log into 5 pieces in 20 minutes. How long does it take to cut a log of the same size and shape into 7 pieces? If you dont have the correct answer please dont comment
Answer:
28minutes
Step-by-step explanation:
Use this simple trick, it can be used almost everywhere
Time taken pieces
20mins 5
? 7
An x shape is always multiply and straight line is divide
So (7 x 20) ÷5
If u still don't understand, just comment again
Answer:
Step-by-step explanation:
No that is incorrect 28 is not the answer:
1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.
1/5= 6/30 so 30 mins!
02:23:02
A rectangle with an area of x2 - 4x - 12 square units is
represented by the model
What side lengths should be used to model the
rectangle?
O(x + 2) and (x-6)
0 (x + 6) and (x - 2)
0 (x + 2) and (x – 10)
o (x + 10) and (x - 2)
XX
-
-
X
Save and Exit
Next
Submit
Answer:
[tex](x + 2) \: \: and \: \: (x-6)[/tex]
Step-by-step explanation:
[tex] {x}^{2} −14−12 \\ = {x}^{2} + 2x - 6x - 12 \\ = x(x + 2) - 6(x + 2) \\ = (x + 2)(x - 6)[/tex]
Hope it is helpful....(x + 2) and (x-6) are the side lengths which should be used to model the rectangle.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that rectangle with an area of x² - 4x - 12 square units.
We have to find the side lengths which should be used to model the
rectangle.
x² - 4x - 12
x square minus four times of x minus twelve.
x² -6x+2x-12
Now factorize the given expression.
x(x-6)+2(x-6)
(x+2)(x-6)
Hence, (x + 2) and (x-6) are the side lengths which should be used to model the rectangle.
To learn more on Rectangle click:
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The midpoint of the line segment connecting the points (0,0) and (5, -6) is:
(5, -6)
(2.5,-3)
(25, 36)
(0,0)
Answer:
(2.5,-3)
Step-by-step explanation:
midpoint = (x', y')
x' = (x1 + x2)/2
y' = (y1 + y2)/2
x1=0
x2=5
y1=0
y2=-6
solution
(0+5)/2 =2.5---->x'
(0+(-6))/2 = -3--->y'
Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE
What is the y-intercept of the function f(x) = 2 • 3x?
A.
(0, 2)
B.
(0, 3)
C.
(0, 6)
D.
(2, 0)
Answer:
(0,2)
Step-by-step explanation:
Hi there!
[tex]f(x) = 2*3^x[/tex]
The y-intercept of any function occurs when x=0.
To find the y-intercept, solve for f(0):
[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]
Therefore, the y-intercept is 2 and occurs at (0,2).
I hope this helps!
Help plzzzzzzz…………..
Answer:
-7 + 5 = -2
Step-by-step explanation:
-7 + 5 = -2 is the correct equation as you can see it ended on -2 so in this equation also it's -2
HELP ME PLS
Write the ratio
3/8 with a numerator of 9.
Answer:
24
Step-by-step explanation:
3 9
8
9 times 8
divided by 3 = denominator
9x8÷3=24
Answer:
[tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Skills needed: Identify numerator, Multiplying to change fraction
1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).
In this fraction, 3 would be the numerator as it is the top number.2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:
[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).
3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:
[tex]x=3[/tex].
This means it would be:
[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]
Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].
The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].
Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)
Solve by completing the square.
[tex]6 {b}^{2} + 12b - 14 = 0[/tex]
Please show all work!
Answer:
b = - 1 ± [tex]\sqrt{\frac{10}{3} }[/tex]
Step-by-step explanation:
Given
6b² + 12b - 14 = 0 ( add 14 to both sides )
6b² + 12b = 14
To complete the square the coefficient of the b² term must be 1
Factor out 6 from the 2 terms on the left side
6(b² + 2b) = 14
To complete the square
add/subtract ( half the coefficient of the b- term)² to b² + 2b
6(b² + 2(1)b + 1 - 1) = 14
6(b + 1)² + 6(- 1) = 14
6(b + 1)² - 6 = 14 ( add 6 to both sides )
6(b + 1)² = 20 ( divide both sides by 6 )
(b + 1)² = [tex]\frac{20}{6}[/tex] = [tex]\frac{10}{3}[/tex] ( take the square root of both sides )
b + 1 = ± [tex]\sqrt{\frac{10}{3} }[/tex] ( subtract 1 from both sides )
b = - 1 ± [tex]\sqrt{\frac{10}{3} }[/tex] ← exact solution
Answer:
x = -1 ± √(10/3) = (-3 ± √30)/3
Step-by-step explanation:
Steps to complete this process:
ax² + bx + c = 0
Divide by the co-efficient of x² i.e. 'a'=> (ax² + bx + c)/a = 0/a
=> x² + (b/a)x + (c/a) = 0
=> x² + 2x(b/2a) + (c/a) = 0
Now it seems somewhat like a square (x² + 2x(b/2a), in order to complete:
Add (b/2a)² to both sides=> x² + 2(b/2a) + (b/2a)² + (c/a) = (b/2a)²
=> (x + b/2a)² + (c/a) = b²/4a²
=> (x + b/2a)² = (b² - 4ac)/4a²
So on & you can derive quadratic formula.
In the given question:
=> 6b² + 12b - 14 = 0
=> (6b² + 12b - 14)/6 = 0/6
=> b² + 2b - 7/3 = 0
=> b² + 2(1)b + 1² - (7/3) = 1²
=> (b + 1)² - (7/3) = 1
=> (b + 1)² = 10/3 or 30/9
=> b + 1 = ±√(30/9)
=> b = -1 ± √(30)/3
=> b = (-3 ± √30)/3
*this is the rationalized form(rational-denominator), exact answer:
=> (b + 1)² - (7/3) = 1
=> (b + 1) = ± √(10/3)
=> b = -1 ± √(10/3)
You can take LCM, and even rationalize it to (-3 ± √30)/3.
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
TR = 23
Step-by-step explanation:
first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR
PLEASE HELP
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b. 6^-2
Answer:
1/36
Step-by-step explanation:
6^-2
~Use negative exponent rule [ a^-b = 1/a^b ]
1/6^2
1/36
Best of Luck!
Answer:
[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]
Step-by-step explanation:
[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!What is the interest rate when you borrow $600 for 1 year and pay $45.00 interest?
Answer:
Im not certain but I think 7.5% If you get another answer which is different trust them not me if u get one which is the same it should be correct
The interest rate was 7.5% when borrowing $600 for one year and paying $45.00 interest.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $600
Time (T) = 1 year
Simple interest = $45.00
⇒ Simple interest = P × R × T
Substitute the value of P, and T in the above formula, and solve for R
⇒ 45.00 = 600 × R × 1
⇒ 45.00 = 600R
⇒ R = 45.00/600
⇒ R = 0.075
⇒ R = 7.5/100
⇒ R = 7.5%
Therefore, the interest rate was 7.5%.
Learn more about the simple interest here:
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I need help ASAP
Please someone help
Answer:
Step-by-step explanation:
Please Upload clear image
What is 4 tens, 2 ones, 7 tenths written in standard form? PLEASE DONT LIE
Answer:
(a)Seven-tenth=
7divde by 10 =0.7
(b) 4 tenth
4 divide by 10=.4
(c) 2 ones
2 multiply by1 =2
Hope it helps you.solve this please
please
Answer:
Step-by-step explanation:
cos(2a) = cos^2(a) - sin^2(a)
cos(2a) = 2cos^(a) - 1
cos(2a) = 11/25
11/25 = 2 cos^(a) - 1 Add 1 to both sides
1 + 11/25 = 2 cos^2
25/25 + 11/25 = 2 cos^2(a)
36/25 = 2 cos^2 (a) Divide by 2
36/50 = cos^2 (a) Take the square root of both sides.
6/5*sqrt(2) = cos(a)
One is given the following:
[tex]cos(2A)=\frac{11}{25}[/tex]One is asked to prove the following:
[tex]cos(A)=\frac{6}{5\sqrt{2}}[/tex]In order to prove the statement above, one will need to use a trigonometric identity. In this case, the following identity is the most relevant in the proof.
[tex]cos(2a)=2cos^2(A)-1[/tex]
One can manipulate this identity to suit the needs of the given problem:
[tex]cos(2a)=2cos^2(A)-1[/tex]
[tex]cos(2a)+1=2cos^2(A)[/tex]
[tex]\frac{cos(2a)+1}{2}=cos^2(A)[/tex]
[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]
Now substitute the given information into this identity,
[tex]cos(2A)=\frac{11}{25}[/tex]
[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]
Substitute,
[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]
Simplify, remember, any number over itself equals (1) and, in order to add two fractions, they must have the same denominator.
[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]
[tex]\sqrt{\frac{\frac{11}{25}+\frac{25}{25}}{2}}=cos(A)[/tex]
[tex]\sqrt{\frac{\frac{36}{25}}{2}}=cos(A)[/tex]
[tex]\sqrt{\frac{18}{25}}=cos(A)[/tex]
[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]
Manipulate so that it resembles the given information; remember, any number over itself is (1), multiplying an equation by (1) doesn't change it,
[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]
[tex]\frac{3\sqrt{2}}{5}*\frac{\sqrt{2}}{\sqrt{2}}=cos(A)[/tex]
[tex]\frac{3\sqrt{2*2}}{5*\sqrt{2}}=cos(A)[/tex]
[tex]\frac{6}{5\sqrt{2}}=cos(A)[/tex]
PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x
Answer:
x = 74.89
Step-by-step explanation:
Because this is a right triangle we can use trigonometric ratios to solve for x
Remember the three main trig ratios are sine, cosine and tangent
Where
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
and Tangent = Opposite over Adjacent
In order to use trig ratios we must have a known angle that is not a right angle.
We are given ∠J which has a measure of 27°
We are also given ∠J's opposite side length. ( has a length of 34 )
and "x" is the hypotenuse.
When dealing with opposite and hypotenuse we use Sine
SineФ = Opposite over Hypotenuse
Ф = 27, opposite = 34 and hypotenuse = x
Sin(27) = 34/x
solve for x
Multiply both side by x
sin(27) x = 34
divide both sides by sin (27)
x = 34 / sin (27)
simplify
x = 74.89 ( rounded to the nearest hundredth )
and we are done!
Answer:
The answer is 74.89
Step-by-step explanation:
Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps
Pls help me guys!
Which of the four pairs shown below are INVERSELY proportional? Select ALL of the correct answers.
1 : The number of lights switched on and the amount of energy used
2 : The number of people painting a fence and the time taken
3 : The number of animals on a farm and the age of the farmer
4 : The amount of rainfall and the number of storms
Answer:
2
Step-by-step explanation:
The example of speed and time is a basic and appropriate example of inversely proportional. As the speed increases, the time to complete your trip will decrease
sin F = bc a/b c/a a/c
[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{GE}{FG}[/tex]
[tex]\\ \rm\Rrightarrow sinF=\dfrac{a}{c}[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
Write six different numbers between 365.89 and 365.91
Answer:
365.891, 365.892, 365.893, 365.894, 365.895, 365.896
Step-by-step explanation:
Since we want 6 numbers between 365.89 and 365.91, we can add the ten-thousandths digit and count up from there.
What is the point-slope form of the linear equation y= 4/3x +2?
5x + 1/3(3x + 6) >14
Answer:
[tex]5x + \frac{1}{3} (3x + 6) > 14 \\ lcm = 3 \\ \\ (3 \times 5x) + 3 \times \frac{1}{3} (3x + 6) > 14 \times 3 \\ \\ 15x + 3x + 6 > 42 \\ 18x + 6 > 42 \\ 18x > 42 - 6 \\ 18x > 36 \\ x > 2[/tex]
Answer is below
x > 2
How I did it
What I first did was divide 3x + 6 by 3 because when you multiply by 1/3 it's basically just dividing by 3.
5x+x+2>14
Simplify
6x+2>14
Subtract 2 on both sides
6x>12
Since you want to get x by itself you divide both sides by 6, singling out x
x>2
Hope this helps!
Which number is NOT plotted correctly on the number line?