Answer:
Step-by-step explanation:
For
The number 30 / 15 belongs to the whole, integer, and rational numbers. the correct option is C.
What is a number system?
A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.
The number set from 0 to infinity are called whole numbers. The number set from negative infinity to positive infinity are called integers.
A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
The given number 30 / 15 is in the form of a rational number that can also be written as 2. Then the number 30 / 15 can be the whole, integer, and rational number.
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The number to which a base is raised to is called the ___. This tells you how many times to multiply the base together
Answer:
Exponent
Step-by-step explanation:
The base tells what number is being repeatedly multiplied, and the exponent tells how many times the base is used in the multiplication. Exponents and have special names. Raising a base to a power of is called “squaring” a number. Raising a base to a power of is called “cubing” a number.
Rewrite the expression by factoring out (w+6).
2w2(w+6) +7(w+6)
Answer:
Below
Step-by-step explanation:
● 2w^2 (w+6) + 7(w+6)
● (w+6) (2w^2 + 7)
Kim is watching a satellite launch from an observation spot 6 miles away. Find the angle of elevation from Kim to the satellite, which is at a height of 0.7 miles.
Answer:
Angle of elevation from Kim to the satellite launch = 6.654°
Step-by-step explanation:
The distance from Kim to the satellite launch
= 6 miles
Height of the satellite launch
= 0.7 miles
Angle of elevation from Kim to the satellite launch = b
Tan b = height of satellite/distance from Kim
Tan b= 0.7/6
Tan b= 0.1166667
b = tan^-1 (0.1166667)
b= 6.654°
Angle of elevation from Kim to the satellite launch = 6.654°
Given f(x) = -2x^2 + 4, determine the slope of the secant line over the interval [-1, 2].
Answer: -2
Step-by-step explanation:
We know that the slope of a secant line over a interval [a,b] is given by :-
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Given f(x) =[tex]-2x^2 + 4[/tex]
Then, the slope of the secant line over the interval [-1, 2] is given by :-
[tex]m=\dfrac{f(2)-f(-1)}{2-(-1)}\\\\=\dfrac{(-2(2)^2+4)-(-2(-1)^2+4)}{2+1}\\\\=\dfrac{(-2(4)+4)-(-2(1)+4)}{3}\\\\=\dfrac{(-8+4)-(-2+4)}{3}\\\\=\dfrac{-4-2}{3}\\\\=\dfrac{-6}{3}\\\\=-1[/tex]
Hence, the slope of the secant line over the interval [-1, 2] is -2.
If the sin 30° is 1 over 2, then the cos ____° = _____.
Answer:
Below.
Step-by-step explanation:
(sine) [tex]sin=30=1/2[/tex]
[tex]=cos [90-30][/tex]
Which means cos=60
Same as:
(cosine) [tex]cos=60=1/2[/tex] or [tex]Sin30=Cos 60=1/2[/tex]
Hence, the answer is...
cos 60° = ½....
By:✨ RobloxYt ✨
The value of the trigonometric ratio cos60 is 1 / 2.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the value of sin 30° is 1 over 2. The value of cos(90-30) will be calculated as:-
sin(30) = cos(90-30) = cos60
sin(30) = cos(90-30) = 1 / 2
Hence, the value of the cos60 is 1 / 2.
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Round 9.62 to the nearest whole number
Answer:
10
Step-by-step explanation:
Anything greater than 9.49 would be rounded to 10, if it were 9.49, it would be rounded to 9. But only look at the numbers after the decimal.
i.e. ;
7.23 = 7
3.33 = 3
8.89 = 9
14.56 = 15
26.91 = 27
Can the sine rule relationship in trigonometry be used with non right angled triangle?
Answer:
Yes
Step-by-step explanation:
The sine rule works on all triangles (not just right-angled triangles) where a side and it's opposit angles are known.
Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a green marble, replacing it, and then picking a brown marble? The probability of a student having a skateboard is 0.49 and the probability of having rollerblades is .57. What is the probability that a student has both a skateboard and roller blades? If 50% of your friends like coffee and 70% like hot cocoa, what is the probability that one of your friends likes both coffee and hot cocoa?
Answer:
1. There are a total of 19 marbles in the bag. The probability of picking a green marble out of them is 4/19 since there are only 4 green ones. The probability of picking a brown marble after replacing what has been initially picked is 1/19. The final probability is the product of the two probabilities and that is 4/361.
2. ?
3. 60%
Step-by-step explanation:
write an expression of the sequence of operations described below
subtract f from g then subtract 10 from the result
Answer:
the answer is: (g-f)-10
Find the area of the parallelogram with vertices:________.
P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4).
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
please help me with this question.
Answer:
[tex] \purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]
Help please 2 over 5D - 77 = 55.
Answer:
Step-by-step explanation:
2/(5d-77)=55
2=55(5d-77)
2/55=5d-77
5d=2/55 + 77
d = (2/55 + 77)/5
Hope you can calc that yourself
To the nearest meter, how many meters are in 160 inches?
Answer:
4
Step-by-step explanation:
When you convert 160 inches to meters you get 4 meters
Answer:
4.064 Meters
Step-by-step explanation:
List the next three numbers for the sequence: 7, 7 /2 , 7 /4 , 7/ 8
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
-2/3(6/5x-7/10)17/20
Solve for x x - 8.9 = 7.18 x =
Answer:
x = 16.08
Step-by-step explanation:
x - 8.9 = 7.18
Add 8.9 to each side
x - 8.9+8.9 = 7.18+8.9
x = 16.08
using addition formula solve tan 15
Answer:
2 - [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = [tex]\frac{tanA-tanB}{1+tanAtanB}[/tex] and the exact values
tan45° = 1 , tan60° = [tex]\sqrt{3}[/tex] , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= [tex]\frac{tan60-tan45}{1+tan60tan45}[/tex]
= [tex]\frac{\sqrt{3}-1 }{1+\sqrt{3} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + [tex]\sqrt{3}[/tex] is 1 - [tex]\sqrt{3}[/tex]
= [tex]\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}[/tex]
= [tex]\frac{-4+2\sqrt{3} }{-2}[/tex]
= [tex]\frac{-4}{-2}[/tex] + [tex]\frac{2\sqrt{3} }{-2}[/tex]
= 2 - [tex]\sqrt{3}[/tex]
solve for q
-9 = q - 4.8
q = ?
(Thank you :3)
Answer:
[tex]-4.2=q[/tex]
Step-by-step explanation:
To do this you would just add 4.8 to both sides to get rid of the -4.8 so then the equation would look like [tex]-4.2=q[/tex] and that would be our answer.
Answer:
q=-4.2
Step-by-step explanation:
-9 = q - 4.8
Add 4.8 to each side
-9+4.8 = q - 4.8+4.8
-4.2 = q
q=-4.2
on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?
[tex]60 \div 5 = 12[/tex]
[tex]8 \times 12 = 96km[/tex]
Answer:
96 kilometers
Step-by-step explanation:
Let's set up a proportion using the following setup.
scale / actual = scale / actual
The scale is 5 cm to 60 km.
5cm / 60 km= scale/ actual
The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.
5 cm/ 60 km= 8 cm/ x km
5/60=8/x
Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.
(5*x)=(8*60)
5x=8*60
5x=480
5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.
5x/5=480/5
x=480/5
x=96
x= 96 km
The actual distance between the two points is 96 kilometers.
What is 0=3x^2-16x +15 solved for x? there should be two numbers
Answer: x = ⅓ or 5
Step-by-step explanation:
From the quadratic equation, we are asked to find the root of the equation. Therefore, we may use any of the methods.
Here I am using grouping method.
3x² - 16x + 15 = 0
3x² - 15x -x + 15 = 0, we now factorize
3x( x - 5 ) - ( x - 5 ) = 0, we now collect like terms.
( 3x - 1 )( x - 5 ) = 0
Now to find x, we equate each in brackets to zero and then solve.
3x - 1 = 0
x = ⅓ , and if
x - 5 = 0
x = 5, .
Now , the solution of the equation will be
x = ⅓ or 5
Suppose x and y are related by the given equation and use implicit differentiation to determine dydx.x7y+y7x=7.
Looks like the equation is
[tex]x^7y+y^7x=7[/tex]
Differentiate both sides with respect to [tex]x[/tex], taking [tex]y[/tex] to be a function of [tex]x[/tex].
[tex]\dfrac{\mathrm d[x^7y+y^7x]}{\mathrm dx}=\dfrac{\mathrm d[7]}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm d[x^7]}{\mathrm dx}y+x^7\dfrac{\mathrm dy}{\mathrm dx}+\dfrac{\mathrm d[y^7]}{\mathrm dx}x+y^7\dfrac{\mathrm dx}{\mathrm dx}=0[/tex]
[tex]7x^6y+x^7\dfrac{\mathrm dy}{\mathrm dx}+7y^6x\dfrac{\mathrm dy}{\mathrm dx}+y^7=0[/tex]
Solve for [tex]\frac{\mathrm dy}{\mathrm dx}[/tex]:
[tex](x^7+7y^6)\dfrac{\mathrm dy}{\mathrm dx}=-(7x^6y+y^7)[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{7x^6y+y^7}{x^7+7y^6}[/tex]
Jackie ordered a set of wood and metal clothes pins. Of the 276 pins, 172 were wood. What percentage of the clothes pins were wood? Round to the nearest hundredth.
Answer:
62.32%
Step-by-step explanation:
172/276 * 100%
= 62.32%
In the given diagram if AB || CD, ∠ABO = 118° , ∠BOD = 152° , then find the value of ∠ODC.
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
90°
Step-by-step explanation:
Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.
Therefore,
∠ABO + ∠BOP = 180° (by interior angle Postulate)
118° + ∠BOP = 180°
∠BOP = 180° - 118°
∠BOP = 62°.... (1)
Since, ∠BOP + ∠POD = ∠BOD
Therefore, 62° + ∠POD = 152°
∠POD = 152° - 62°
∠POD = 90°.....(2)
∠POD + ∠ODC = 180° (by interior angle Postulate)
90° + ∠ODC = 180°
∠ODC = 180° - 90°
[tex] \huge\red {\boxed {m\angle ODC = 90°}} [/tex]
Solve this equation: Y/9 + 5 = 0.
Answer:
y = -45
Step-by-step explanation:
Y/9 + 5 = 0
y/9 = -5
y = -45
9x + 8y when x = 4 and and y = -5
━━━━━━━☆☆━━━━━━━
▹ Answer
-4
▹ Step-by-Step Explanation
9x + 8y = ?
Substitute the value for x in:
9(4) + 8y
Substitute the value for y in:
9(4) + 8(-5)
Multiply:
9 * 4 = 36
8 * -5 = -40
9x + 8y = 36 - 40 = -4
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What is an example of polynomials that are in standard form?
Answer:
standard form means that the terms are ordered from biggest exponent to
lowest exponent. The leading coefficient is the coefficient of the first term in a
polynomial in standard form . For example, 3x^4 + x^3 - 2x^2 + 7x.
write -0.1... as a fraction
Answer:
THE ANSWER IS :
-(1/10)
If y = x + 5 and x = 3 then y =
Answer:
y=8
Step-by-step explanation:
if you subsitute 3 into x then it will be y=3+5 which equals 8, so y= 8
Use the stem and leaf plot above to answer the following question.
Lower quartile :
Medial:
Upper quartile:
Answer:
Lower quartile - (20+32) divided by 2 = 26
Median - (43+46) divided by 2 = 44.5
Upper quartile - 51
Step-by-step explanation:
64
simplify 2⁰+5¹+4³/7
Answer:
10
Step-by-step explanation:
2^0 = 1
5^1 = 5
4^3 = 4 x 4 x 4
=> 16 x 4
=> 64
=> 1 + 5 + 64 / 7
=> 6 + 64 / 7
=> 70 / 7
=> 10
So, the answer is 10