Answer:
B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero
B.
Hope this helps <33!
Find the coefficient of x^4 in the expansion of (x−9)^8
Please I need help!!
Answer:
459270
is the coefficient15. 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 product of -8(9)
show your work to the problem
Answer:
-72
Step-by-step explanation:
-8×-9
=-72
hope it helps you..
if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommision did the agent get ?
Answer:
37500
Step-by-step explanation:
3% of 1250000
That is (3/100)*1250000
The answer is 37500
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
#SPJ2
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.
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 ?
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.
Here is a Venn diagram.
a) Write down the numbers that are in set
А.
B
16
(i) AUB 8,14, 17, 16, 9, 15
8
14
9
(ii) A B 14,17
17
15
13
12
10
11
One of the numbers in the diagram is
chosen at random.
b) Find the probability that the number is in
set A, giving your answer as a decimal.
Answer:
0.7
Step-by-step explanation:
.
Answer: b) 0.7
Just copy that into mathswatch :>
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]
what is the value of b?
Answer: The b-value is the middle number, the number next to the X
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
Does this graph show a function? Explain how you know.
• A. No; there are yvalues that have more than one x-value.
O B. No; the graph fails the vertical line test.
O C. Yes; there are no yvalues that have more than one x-value.
O D. Yes; the graph passes the vertical line test.
HELP PLSS
Can someone help me with this math homework please!
Answer:
Question 1: (C) Step 3
Question 2: (B) The 2nd graph from the left
Question 3: (A, B, D)
Question 4: (D) Subtract 1.1j from both sides
Question 5: (C) x <= 3
Question 6: (D) y = 10
Step-by-step explanation:
Question 1:
Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.
Question 2:
This questions requires you to have knowledge on how to graph lines.
g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.
The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.
Question 3:
A is correct because they added 3/5x and x, which is still equal to the original equation.
B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.
C is wrong because it's supposed to 30x, not just a regular x from the original equation.
D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.
E is wrong because they subtracted instead of adding the 6x.
Question 4:
All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.
Question 5:
Use basic algebra to sovle the inequality:
2(4 + 2x) >= 5x + 5
(distribute 2 to the (4 + 2x))
8 + 4x >= 5x + 5
(subtract 5 from both sides)
3 + 4x >= 5x
(subtract 4x form both sides)
3 >= x
x <= 3
Question 6:
Use basic algebra to solve for y:
2.8y + 6 + 0.2y = 5y - 14
(subtract 6 from both sides)
2.8y + 0.2y = 5y -20
(add like terms)
3y = 5y - 20
(subtract 5y from both sides)
-2y = -20
(divide both sides by -2)
y = 10
Hope it helps (●'◡'●)
Does the point (0, 37) satisfy the equation y = 79x - -37? yes no
Answer:
yes
Step-by-step explanation:
y = 79x - -37
37 = 79(0) - - 37
37 = 0 - - 37
37 = 37
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
Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities
Step-by-step explanation:
Given that,
The positions of the first particle,[tex]s_1=4t-t^2[/tex]
Velocity,
[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]
Position,
[tex]s_2=5t^2-t^3[/tex]
[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]
Hence, this is the required solution.
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?
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]
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}
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]
when x^2 - 3x +2k is divided by x+2, the remainder is 7. find the value of k.
Answer:
let's find the zeros of the divisor
x+2=0
x=-2
let x²-3x+2k =f(x)
Now f(-2)=(-2)²-3(-2)+2k=7
4+6+2k=7
2k=7-10
2k=-3
k=-3/2
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
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.
If 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.
which points lie in the second quadrant? check all that apply.
Point F
Point E
These lie in the second quadrant.
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
Heya Kitties!
What is the value of x?
18x−16=−12x−4
x =
Answer:
2/5
Step-by-step explanation:
18x+12x=-4+16
30x=12
x=2/5
Answer:
18x-16=-12x-4
18x+12x=-4+16
30x=12
x=12/30
x=2/5
Answer thi question plz
Answer:
Q.5
Step-by-step explanation:
(2x)^3+3×(2x)^2×3y+3×2x×(3y)^2+(3y)^3
8x^3+3×4x^2 × 3y + 3×2x×9y^2 + 27y^3
8x^3 + 36x^2 × y + 54xy^2 + 27y^3