Answer:
-21 degrees
Step-by-step explanation:
-14 - 7 = 21
suppose electric power is supplied from two independent sources which work with probabilities 0.4, 0.5, respectively. if both sources are providing power enough power will be available with probability 1. if exactly one of them works there will be enough power with probability 0.6. of course, if none of them works the probability that there will be sufficient supply is o.
Answer:
What is the question
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(5x+1)^{\circ}∠A=(5x+1) ∘ and m\angle B=(4x+3)^{\circ}∠B=(4x+3) ∘ , then find the value of x.
HELP
Using the vertical angles theorem, the value of x = 2.
How to Apply the Vertical Angles Theorem?Given that angles A and B are vertical angles pair, based on the vertical angles theorem, both angles are congruent to each other.
Therefore:
m<A = m<B [vertical angles theorem]
m<A = (5x + 1)°
m<B = (4x + 3)°
Substitute
(5x + 1)° = (4x + 3)°
Solve for x
5x + 1 = 4x + 3
5x + 1 - 1 = 4x + 3 - 1
5x = 4x + 2
5x - 4x = 4x + 2 - 4x
x = 2
Therefore, using the vertical angles theorem, the value of x = 2.
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state which is greater
(5-6) times 10 or 5-6 times 10
The table shows a proportional relationship between x and y. Dimitrios and Katerina have to complete the table. Katerina incorrectly says the ratio is 10 a complete the table. 3 5 7 0 y 30 50 70 90 Ratio y/x
Here is the completed table:
x y y/x
3 30 10 / 1
5 50 10 / 1
7 70 10 / 1
9 90 10 / 1
What are the ratios?Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s). The sign used to represent ratios are :.
The ratio of y to x : change in value of y / change in the value of x
(50 - 30) / (5 - 3) = 20 / 2 = 10 / 1
(70 - 50) / (7 - 5) = 20 / 2 = 10 / 1
(90 - 70) / (9 - 7) = 20 / 2 = 10 / 1
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cant focus today lolol pls help
Answer:
18.48
7.39 divided by 0.4 is 18.475
rounded to hundredth is 18.48 because 5 or above you round up
Answer:2.909
Step-by-step explanation:hope this helps
what is the imagine point of (0,-9) after a translation right 5 units and down 1 unit
the image of the point ( 0 , - 9 ) after a translation of right 5 units and down 1 unit will be ( 5 , - 10 ).
We are given a point:
( 0 , - 9 )
We will first translate it to the 5 units right.
So, we get that:
( 0 + 5 , - 9)
= ( 5 , - 9)
Now, we will translate it 1 unit to the down.
So, we get that:
= ( 5 , - 9 - 1)
= ( 5 , - 10 )
Image will become:
( 5 , - 10 )
Therefore, we get that, the image of the point ( 0 , - 9 ) after a translation of right 5 units and down 1 unit will be ( 5 , - 10 ).
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A scale drawing of a rectangular park is 6 cm wide and 10 cm long. The actual park is 180 meters wide. What is the area of the actual park in square meters?
The area of the actual park in square meters will be 54000m².
How to calculate the area?The length of the actual park will be:
= 180/6 × 10
= 300m
Width = 180m
Therefore, the area will be:
= Length × Width
= 300 × 180
= 54000 m²
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Differentiate the following equation [tex]sin^2(\frac{\pi }{6} -x)[/tex]
[tex]\sin^2\left(\frac{\pi }{6}-x \right)\implies \left[ ~~ \sin\left(\frac{\pi }{6}-x \right) ~~ \right]^2 \\\\\\ \stackrel{\textit{\LARGE Chain Rule}}{2\left[ ~~ \sin\left(\frac{\pi }{6}-x \right) ~~ \right]^1 \left[ ~~ \cos\left(\frac{\pi }{6}-x \right) ~~ \right] (-1)}\implies \boxed{-2\sin\left(\frac{\pi }{6}-x \right)\cos\left(\frac{\pi }{6}-x \right)}[/tex]
(2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c)
Pls step by step
The evaluation of (2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c) is mathematically given as
a^3+3 a b c-b^3-c^3+6 a^2-6 a b-6 a c+6 b^2-6 b c+6 c^2
This is further explained below.
What is the evaluation of (2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c)?(2-a)^3+(2-b)^3+(2-c)^3-3(2-a)(2-b)(2-c)
Use the Binomial Theorem.
2^3+3 * 2^2(-a)+3*2(-a)^2+(-a)^3 +(2-b)^3+(2-c)^3 -3(2-a)(2-b)(2-c)
8-12 a+6 a^2-a^3+(2-b)^3+(2-c)^3 -3(2-a)(2-b)(2-c)
Use the Binomial Theorem.
8-12 a+6 a^2-a^3+2^3+3 * 2^2(-b)+3 * 2(-b)^2+(-b)^3+(2-c)^3-3(2-a)(2-b)(2-c)
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +(2-c)^3-3(2-a)(2-b)(2-c)
Use the Binomial Theorem.
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+2^3+3 \cdot 2^2(-c)+3 \cdot 2(-c)^2+(-c)^3-3(2-a)(2-b)(2-c)
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +8-12 c+6 c^2-c^3-3(2-a)(2-b)(2-c)
Apply the distributive property.
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3+(-3 * 2-3(-a))(2-b)(2-c)
Multiply -3 by 2 .
&8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3 +(-6-3(-a))(2-b)(2-c)
Multiply -1 by -3.
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3 +8-12 c+6 c^2-c^3 +(-6+3 a)(2-b)(2-c)
Expand (-6+3 a)(2-b) using the FOIL Method.
Combine the opposite terms in
8-12 a+6 a^2-a^3+8-12 b+6 b^2-b^3+8-12 c+6 c^2-c^3-24+12 c+12 b-6 b c+12 a-6 a c-6 a b+3 abc
8+6 a^2-a^3+8+6 b^2-b^3+8+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 abc
Simplify by adding numbers.
6 a^2-a^3+6 b^2-b^3+24+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 abc
Combine the opposite terms in
6 a^2-a^3+6 b^2-b^3+24+6 c^2-c^3-24-6 b c-6 a c-6 a b+3 a b c
6 a^2-a^3+6 b^2-b^3+6 c^2-c^3-6 b c -6 ac-6 ab+3 abc
Re odrder
a^3+3 a b c-b^3-c^3+6 a^2-6 a b-6 a c+6 b^2-6 b c+6 c^2
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If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
By using the fact that EBC and ABE are supplementary angles, we will see that the measure of angle EBF is 106 degrees.
How to find the measure of the angle EBF?First, we can notice that angles EBC and ABE are supplementary angles, which means that their measures add up to 180°.
Then we can write:
m∠EBC + m∠ABE = 180°
Replacing what we know we get:
3y + 10 + 2y - 20 = 180°
Now we can solve this linear equation for y, we will get:
5y - 10 = 180
5y = 180 + 10
y = 190/5 = 38
Then we have that:
EBC = 3*38 + 10 = 124°
ABE = 2*38 - 20 = 56°
Now, in the image it says that:
ABE = 2b = 56°
then b = 56°/2 = 28°
And ABF = 7b - 24 = 162°
Then:
EBF = ABF - ABE = 162° - 56° = 106°
We conclude that the measure of angle EBF is 106 degrees.
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2. Which graph represents the solution
of 6 + 3y < 9 or 4y > 3y + 2?
Help please!!!!!
Answer: It is likely B
Step-by-step explanation:
1. Subtract 6:
6 -6 + 3y < 9 -6
2. Divide by 3:
3y/3 < 3/3
3. Simplify:
y < 1
--------------------------------------
1. Subtract 3y:
4y -3y < 3y -3y + 2
2. Simplify:
y < 2
(i) So the answer is likely B
If y=-1 is a zero of the polynomial q (y) = 4y³+ ky² - y -1, then find the vaLue of k
Answer:
Step-by-step explanation:
Since zero of a polynomial function is a value of the variable at which the function's value is 0, 0=4(-1)^3+k(-1)^2-(-1)-1, for the given polynomial q(y)=4y^3+ky^2-y-1
simplifying the above gives: 0= -4+k+0
k=4
the sum of 2 consecutive intergers is 515 how can i write this as an equation?
We get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.
We are given that,
The sum of 2 consecutive numbers is 515.
Consecutive numbers:
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1 and 2 are consecutive numbers, 34 and 35 are also consecutive numbers.
Here let the first number be x
Second number will be:
x + 1
We need to find their sum:
x + x + 1 = 515
2 x + 1 = 515
2 x = 515 - 1
2 x = 514
x = 514 / 2
x = 257
x + 1 = 257 + 1 = 258
Therefore, we get the consecutive numbers as 257 and 258 from the equation 2 x + 1 = 515.
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1 3 Given the resting heartrates below, determine the best measure of variability and calculate it. Heartbeats 48 55 60 61 62 63 64 65 66 66 68 70 70 71 71 72 74 74 75 76 77 77 78 79 81 86
The best measure to determine the variability is mean which is equal to 69.48
We are given the data:
48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86
The best measure to determine the variability is mean.
Total number of observations = 26
Sum of observations (S) will be:
S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86
S = 1809
Mean = Sum / total
Mean = 1809 / 26
Mean = 69.58
Therefore, the best measure to determine the variability is mean which is equal to 69.48
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[tex]\sqrt[3]{} \frac{1}{16} *(-\frac{54}{1} )[/tex]
The simplification of the expression ∛(1/16) × (-54/1) is -27√4/32.
What is defined as the Rationalization?Rationalization is the process of removing a radical as well as imaginary number from of the denominator of an arithmetic fraction. That is, in a fraction, remove the radicals so that the denominator just includes a rational number.
Step 1: Multiply the numerator and denominator by the a radical that removes the radical from the denominator.Step 2: Ensure that all radicals have been simplified.Step 3: If necessary, simplify the fraction.Now the expression is given as;
= ∛(1/16) × (-54/1)
= -54/ ∛16
Taking cube root of 16.
= -54/(4√4)
= -27/2(√4)
By the process of rationalization, multiply the numerator and denominator by the a radical that removes the radical from the denominator which is √4.
= -27×√4/2(√4×√4)
Simplifying the equation;
= -27√4/32
Therefore, the simplification of the expression is -27√4/32.
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WILL GIVE BRAINLIEST IF ANSWERED WELL!!!
Answer:
r = S/(2πh)
Step-by-step explanation:
S = 2πrh
divided by (2πh)
r = S/(2πh)
is -24 greater than -24.0
Answer:
yes
Step-by-step explanation:
-24 is. a whole number so it would be greater
What did I do wrong ? Question is 7x + 5 = 6x
Answer: Look at the explanation.
Step-by-step explanation: So first you move the 6x to the left side of the equal sign, then u turn it into a negative number. Next, you do 7x-6x=5. Which is 2x=5. And to find x you do 5÷2. Which is 2.5.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
Let's solve the problem,
→ 7x + 5 = 6x
→ 7x - 6x = -5
→ [ x = -5 ]
Hence, the answer is -5.
Select the car that travels the fastest. choose 1 answer: choose 1 answer: (choice a, checked) a 50 50 km/h km/hcar a (choice b) b car b travels a distance of d dd kilometers in h hh hours, based on the equation 55 h = d 55h=d55, h, equals, d. (choice c) c car c travels 135 135135 kilometers in 3 33 hours. see more
The car with the speed of 50 Km/h travels the fastest.
We have given with three choices for selecting the fastest speed from them. The three choices are
First choice is 50 Km/h.
Second Choice is car b travels a distance of d kilometers in h hours, based on the equation 55 h = d , h, equals, d.. So from this be can conclude that this car is moving with the speed of (1/55)km/h.
Third choice is car c travels 135 kilometers in 3 hours. So from this be can conclude that this car is moving with the speed of (135/3) Km/h i.e., 45 Km/h.
So, from the given choices we can conclude that the car with the speed of 50 Km/h travels the fastest.
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what’s the absolute value of the equation
|y-2|=|2y|
three friends ate at restaurant. They ordered nachos for S19 95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was 1/3 of the total determine the cost of the jalapeno poppers
The total cost of a Jalapeno is $ 9.24
Three friends ate at a restaurant and ate nachos for $19.95 and jalapeno poppers.
Three of them paid $9.73 each
So the total amount of money paid by three friends = 3×9.73
= 29.19
Now we have to calculate the cost of jalapeno poppers
Therefore we have,
Total amount of money paid = cost of nachos + cost of jalapeno poppers
29.19 = 19.95 + cost of jalapeno poppers
The cost of jalapeno poppers =29.19 - 19.95
= $9.24
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Answer: The cost is $9.24 for the peppers.
Step-by-step explanation: Just do math.
what is the range of the function on the graph? i’m
Answer: y∈(-∞,3]
Step-by-step explanation:
[tex]y=-|x+1|+3[/tex]
Find the total amount given the original price and tax rate. round to the nearest hundredth if necessary. original price: $123.28 tax rate: 7.5% enter the correct answer in the box.
The Total amount to pay including the tax will be $132.52
In the given question, For the Total amount, we know that we have to add the Tax rate to the Principal amount. It is mentioned that the Principal amount P = $123.28 and the Tax rate is 7.5%. Firstly we have to calculate what amount of interest is to be charged upon the Principal amount. To calculate Interest we have the formula :
=> I = (P * R)/100 , where I = Interest, P = Principal Amt, R = Interest Rate
=> I = (123.28 * 7.5)/100 => I = 9.24
We get Interest amount = $9.24
To calculate the Total amount, We have the formula: T = P + I
where, T = Total Amount, P = Principal Amount, and I = Interest Amount
=> T = 123.28 + 9.24 => T = 132.52
Hence, the Total Amount is $132.52
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AAah! This is my third time aaasking pleeease. Why am I being ignored.
The value of x in the figure is 4
How to determine the value of x in the figure?From the attached figure, we have the following parameters:
DE = x + 1
BC = 4x - 6
The triangles ADX and ABC are similar triangles
Based on the representation of the sides, we have:
BC = 2 * DE
So, we have
2 * (x + 1) = 4x - 6
Expand
2x + 2 = 4x - 6
Evaluate the like terms
2x = 8
Divide by 2
x = 4
Hence, the value of x in the figure is 4
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If a number is "squared" that means it
is raised to the
______ power.
1. 1st
2. 2nd
3. 3rd
4. square root
5. none of the above
Answer:
2nd power
Step-by-step explanation:
3rd is cubed and 1st is: example 3^1 = 3
square root is √
g(x)= 3x find g(-5)
Answer: -15
Step-by-step explanation:
x=-5
g(-5)=3(-5)
g(-5)=-15
Find the derivative of the function using the definition of derivative. f(x) = 5x
The derivative is f'(x) = 5.
The limit definition of the derivative tells us that the derivative of a function is f is
f' (x) = [tex]\lim_{h \to \0} 0[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]
For this, f(x) = 5x and f(x + h) = 5(x + h)
So:
f'(x) = [tex]\lim_{h \to \}0[/tex] [tex]\frac{5(x+h)-5x}{h}[/tex]
= [tex]\lim_{h \to \}0[/tex] [tex]\frac{5x+5h-5x}{h}[/tex]
= [tex]\lim_{h \to \}0[/tex] [tex]\frac{5h}{h}[/tex]
= [tex]\lim_{h \to \}0[/tex] 5
= 5
So, when f(x) = 5x , we see that its derivative is f'(x) = 5.
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Find the distance between the two points in simplest radical form (0,-7)(-9,5)
Step-by-step explanation:
1111111111111111111111
Find the coordinate of the midpoint of the segment with the given endpoints.
-6 and -4
Answer:
-5
Step-by-step explanation:
Let's assume the you are moving horizontally along the number line. If you start at -4 and jump to -6, you have made 2 jumps to the left(-4;-5;-6). So halfway between them (the midpoint) is 1 jump (half of 2 jumps).
1 jump to the left of -4.... You land at -5.
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I need to know What is 3/4 x 8 1/2
Answer:
3/4 x 8 1/2 = 6.375