Answer: $83.94
Step-by-step explanation:
20% = 0.269.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94
Express each of the following decimal number in p/q form
3.127bar
Answer:
3124/999
Step-by-step explanation:
x = 3. 127 127 ....... -------------(I)
127 -----> 3 digits are repeating. so multiply both sides by 1000
(I)*1000 1000x = 3127.127127......
x = 3.127127...... [Now subtract}
999x = 3124
x = 3124/999
Which number line model represents the expression 3.5+(-5)
Answer:
D.
Step-by-step explanation:
.
Given f(x) = 1 - 2x with the range {-3, -5, -7 }, find the domain.
Answer:
{2,3,4}
Step-by-step explanation:
The range are simply the f(x) values
The range are the x values
To get the x values, we simply get x from each f(x)
So we have;
1-2x = -3
1+ 3 = 2x
2x = 4
x = 4/2
x = 2
Secondly;
1-2x = -5
1 + 5 = 2x
2x = 6
x = 6/2
x = 3
lastly;
1-2x = -7
1 + 7 = 2x
2x = 8
x = 8/2
x = 4
So the domain values are;
{2,3,4}
Find the coefficient of x^4 in the expansion of (x−9)^8
Please I need help!!
Answer:
459270
is the coefficientIf a bus travel for 120 minutes at a speed of 75 kilometers per hour how far has the bus traveled?
Answer:
150 km
Step-by-step explanation:
Put the minutes into hours 120min is 2 hours.
Distance = speed * time
Distance = 75 * 2
Distance = 150
Answer:
150 kilometers
Step-by-step explanation:
if the bus is going 75 kilometers an hour and they traveled for 120 minutes (exactly 2 hours) then you would just multiply 75 by 2 to get 150 kilometers total.
PLEASE I NEED THIS NOW 50 POINTS
Write your answer as a function
Andy is wrapping gifts for his family. He ties 25 inches of ribbon around each gift. Which function gives the relationship between the number of
gifts (g) and the length of ribbon used (9)?
The function representing the relationship between the length of ribbon and the number of gifts is ?
If the result of multiplying a number by 8/3 and then dividing the product by 7/2is 4/7,find the number.
Answer:
3/4
Step-by-step explanation:
[tex]\frac{x}{y} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7}\\\frac{3}{4} * \frac{8}{3} * \frac{2}{7} = \frac{4}{7 }[/tex]
If A = [tex]\left[\begin{array}{ccc}cosx&-sinx\\sinx&cosx\end{array}\right][/tex], then show that [tex](A^{-1} )^{-1}[/tex]
Given:
The matrix is:
[tex]A=\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]
To show:
[tex](A^{-1})^{-1}=A[/tex]
Solution:
If a matrix is:
[tex]M=\begin{bmatrix}a&b\\c&d\end{bmatrix}[/tex]
Then,
[tex]M^{-1}=\dfrac{1}{ad-bc}\begin{bmatrix}d&-b\\-c&a\end{bmatrix}[/tex]
We have,
[tex]A=\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]
Using the above formula, we get
[tex]A^{-1}=\dfrac{1}{(\cos x)(\cos x)-(-\sin x)(\sin x)}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]
[tex]A^{-1}=\dfrac{1}{\cos^2x+\sin^2x}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]
[tex]A^{-1}=\dfrac{1}{1}\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]
[tex]A^{-1}=\begin{bmatrix}\cos x&\sin x\\-\sin x&\cos x\end{bmatrix}[/tex]
Now, the inverse of [tex]A^{-1}[/tex] is:
[tex](A^{-1})^{-1}=\dfrac{1}{(\cos x)(\cos x)-(\sin x)(-\sin x)}\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]
[tex](A^{-1})^{-1}=\dfrac{1}{\cos^2x+\sin^2x}\begin{bmatrix}\cos x&-\sin x\\\sin x&\cos x\end{bmatrix}[/tex]
[tex](A^{-1})^{-1}=\dfrac{1}{1}A[/tex]
[tex](A^{-1})^{-1}=A[/tex]
Hence proved.
y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
Answer:
- Reflected over the x-axis
- Compressed by a factor of 0.4.
- Translated 2 units left
Step-by-step explanation:
Given
[tex]y = \sqrt[3]{x}[/tex]
[tex]y' = -(0.4)\sqrt[3]{x-2}[/tex]
Required
The transformation from y to y'
First, y is reflected over the x-axis.
The transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]y = \sqrt[3]{x}[/tex] becomes
[tex]y' = -\sqrt[3]{x}[/tex]
Next, it was compressed by a scale factor of 0.4
The rule is:
[tex]y' = k * y[/tex]
Where k is the scale factor (i.e. k = 0.4)
So, we have:
[tex]y' = 0.4 * -\sqrt[3]{x}[/tex]
[tex]y' = -(0.4)\sqrt[3]{x}[/tex]
Lastly, the function is translated 2 units left;
The rule is:
[tex](x,y) \to (x-2,y)[/tex]
So, we have:
[tex]y' = -(0.4)\sqrt[3]{x - 2}[/tex]
Answers:
-reflected over the x-axis
-translated 2 units right
-compressed by a factor of 0.4
3 miles. 128 yards. Converted to feet
15. ABCD is a cyclic quadrilateral in which
AB = BC and ABC = 70°.
AD produced meets BC produced at the
point P, where APB = 30°.
Calculate
a) ADB
b) ABD
Answer:
a) ∠ADB is 55°
b) ∠ABD is 45°
Step-by-step explanation:
a) In the cyclic quadrilateral ABCD, we have;
Segment AB = Segment BC
∠ABC = 70°
Therefore, ∠ADC = 180° - 70° = 110° (Opposite angles are supplementary)
∠ADC + ∠CDP = 180° (Sum of angles on a straight line)
∴ ∠CDP = 180° - ∠ADC
∠CDP = 180° - 110° = 70°
∠DCP = 180° - 70° - 30° = 80°, (Angle sum property)
Similar to ∠DCP = ∠DAB = 80° (Exterior angle of a cyclic quadrilateral)
∠CAB = ∠ACB = (180° - 70°)/2 = 55° (Base angles of isosceles triangle ΔABC)
∠ADB = ∠ACB = 55° (Inscribed angle of a circle subtended by the same chord)
∠ADB = 55°
b) ∠ABD = 180° - ∠DAB - ∠ADB
∴ ∠ABD = 180° - 55° - 80° = 45°
∠ABD = 45°
What is the solution to |x + 2| < 1?
Answer:
-3 <x <-1
Step-by-step explanation:
|x + 2| < 1
There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
x+2 <1 and x+2 > -1
Subtract 2 from each side
x+2-2 < 1-2 and x+2-2 > -1-2
x < -1 and x >-3
-3 <x <-1
someone help me for this algebra task please
Answer:
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Obejctive: Real Wolrd Algebra.
X represent number of pound peaches sold and Y represent the total cost of the peaches. We can represent this as
[tex]y = 2x[/tex]
If someone sell something, they cant get negative profit from it, and if no one buy it, it doesnt mean that it will decrease the seller profit.
Using that knowledge, let go through each answer.
The first one is wrong, Real Numbers include negative numbers and you can't negatively sell something so that means you cant lose profit for not selling something( In some instances, you can but for this sake of the problem, you cant).
The second one is right It is possible that you dont sell nothing and gain no money from it. So y and xcan be zero. it also possible you sell something and get money from it.
The third one is wrong, it is possible that you sell something and get profit from it.
The fourth one is wrong, x can be any real number as long its greater than zero. Y can be any real number as long as it greater than zero, but it doesnt have to be a interger( counting number). What if you sell 1.3 pounds of peaches, you will get 2.6
1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A
Step-by-step explanation:
— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .
I NEED HELP SOMEONE PLEASE HELP MEEEE!!!
9.75 ft is the answer
[tex]By \: Pythagoras \: Theorem, \\ \boxed{ {hyotenuse}^{2} = {base}^{2} + {height}^{2} } \\ \\ here \\ hypotenuse = 12ft \\ base = 7 ft\\ height = x\ \\ \\ \ {12}^{2} = {7}^{2} + {x}^{2} \\ \implies144 = 49 + {x}^{2} \\ \implies {x}^{2} = 144 - 49 \\ =95 \\ x = \sqrt{95 } \\ = 9.75 ft\\ \\ \\ [/tex]
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 8.
Answer:
[tex]Probability = \frac{5}{36}[/tex]
Step-by-step explanation:
The samples are
{ ( 1 , 1) , ( 1 , 2 ) , ( 1 , 3 ) , ( 1 , 4 ) , ( 1 , 5) , ( 1 , 6 )
( 2 , 1 ) , ( 2 2 ) , ( 2 , 3 ) , ( 2 , 4 ) , ( 2 , 5 ) , ( 2 , 6 )
( 3 , 1 ) , ( 3 , 2 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 3 , 6 )
( 4 , 1 ) , ( 4 , 2 ) , ( 4 , 3 ) , ( 4 , 4 ) , ( 4 , 5 ) , ( 4 , 6 )
( 5 , 1 ) , ( 5 , 2 ) , ( 5 , 3 ) , ( 5 , 4 ) , ( 5 , 5 ) , ( 5 , 6 )
( 6 , 1 ) , ( 6 , 2 ) , ( 6 , 3 ) , ( 6 , 4 ) , ( 6 , 5 ) , ( 6 , 6 ) }
Total number of samples = 36
Samples with a sum of 8 = { ( 2 , 6 ) , ( 3 , 5 ) , ( 4 , 4 ) , ( 5 , 3 ) , ( 6 , 2 ) }
Total number of sample with sum 8 = 5
Therefore,
[tex]Probability \ of \ sum \ of \ 8 = \frac{5}{36}[/tex]
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
Instructions: Problem 3 ! Find the missing angle in the image below. Do not include spaces in your answers
Answer:
155
Step-by-step explanation:
first add 72 and 83 = 155. Then use 180-155=25. then subtract 25 from 180.
A. -1/4 + 2/3=
B. 1/2-3/5-1/2=
C. 3/4 of 2/9=
D. 2/5 of 7/12=
please help me
with explanation as well
Answer:
[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]
[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]
[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]
[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]
Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?
Answer:
4 pounds
Step-by-step explanation:
take 20% off the original price. 20(0.20)= 4
So that's a discount of 4 pounds and the sale price is 16 pounds.
The savings is 4 pounds on 1 shirt.
Can someone help me with this math homework please!
Answer:
1: the number of years since 2008 2. t is greater than or equal to 0 3. negative values 4. continuous
Step-by-step explanation:
1. t usually represents time
2. t must be greater than 0 as you can not go backward in time
3. the range must be positive as you can not have negative bobcats
4. its continuous because its a quadratic equation
1. no. of bobcats since 2008
2. greater than equal to 0
3 negative values
4. discrete because no. of bobcats cannot be broken into fraction.
-24w^2+(-4w^2)
Helppp
Answer:
-28[tex]w^{2}[/tex]
Step-by-step explanation:
-24[tex]w^{2}[/tex] + (-4[tex]w^{2}[/tex]) =
a negative plus a negative is a negative.
if you owe me 24 dollars and then I loan you another 4 dollars then you are in the negative 28 dollars to me.
Both 'w' have same exponent, making them like terms
What should you substitute for x in the bottom equation to solve the system by the substitution method?
A. x=2y-8
B. x=-2y-8
C. x=-2y+8
D. x=2y+8
A store sells ground meat in small, medium, and large sizes. The weights of the small size packages have a mean weight of 1 pound and a standard deviation of 0.1 pound. If the distribution of weights for the small size packages of ground meat is approximately normally distributed, what is the best estimate of the probability that a randomly selected small size package has a weight less than 0.9 pound? Explain how you found your answer.
Answer:
15.87 %
Step-by-step explanation:
z = (.9-1)/.1 = -1
z score of -1 = .1587
The probability that a randomly selected small size package has a weight of less than 0.9 pounds is 15.87 %
We have given that,
A store sells ground meat in small, medium, and large sizes. The weights of the small size packages have a mean weight of 1 pound and a standard deviation of 0.1 pounds. If the distribution of weights for the small-size packages of ground meat is approximately normally distributed
What is the formula for the z-score?[tex]Z = \frac{x - \mu}{\sigma}[/tex]
Z = standard score
x = observed value
[tex]\mu[/tex] = mean of the sample
[tex]\sigma[/tex] = standard deviation of the sample
z = (0.9-1)/0.1 = -1
z of -1 = 0.1587
Therefore the value of the z-score is 0.1587.
To learn more about the Z-score visit:
https://brainly.com/question/25638875
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Express the trigonometric ratios sinA in term of cosA
Answer:
sinA = ± [tex]\sqrt{1-cos^2A}[/tex]
Step-by-step explanation:
Using the Pythagorean identity
sin²A + cos²A = 1 ( subtract cos²A from both sides )
sin²A = 1 - cos²A ( take the square root of both sides )
sinA = ± [tex]\sqrt{1-cos^2A}[/tex]
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die
Answer:
Step-by-step explanation:
Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,4 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Therefore the sample space for the multiplication of the two values in each possible outcome:
elements of the set are:
1*1=1
1*2=2
1*3=3
...........
2*1=2
2*2=4
2*3=6
.............
so on...
Therefore the complete set:
S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }
Grafico de deportes: fútbol 30%, atletismo 25%, tenis 5%, voleibol 10%, basquetbol 20%. Si 165 jóvenes prefieren el fútbol ¿cuantos prefieren el basquetbol?
Answer:
33 jóvenes prefieren el basquetbol.
Step-by-step explanation:
Hay 165 jóvenes.
De estos, 20% prefieren el basquetbol.
¿cuantos prefieren el basquetbol?
20% de 165, entonces:
[tex]20\% = \frac{20}{100} = 0.2[/tex]
[tex]0.2*165 = 33[/tex]
33 jóvenes prefieren el basquetbol.
Which of the following statements considered as always true?
A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only
I don't have a question
Answer:
then why are you asking?
Step-by-step explanation:
okay