Answer:
Hey there!
12^2+5^2=c^2
144+25=c^2
c=13
Let me know if this helps :)
Answer:
[tex]\Large \boxed{\mathrm{D) \ 13}}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ apply \ Pythagorean \ theorem.[/tex]
[tex]c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf Plug \ in \ the \ values.[/tex]
[tex]c=\sqrt{5^2 +12^2 }[/tex]
[tex]\sf Evaluate.[/tex]
[tex]c=\sqrt{25+144}[/tex]
[tex]c=\sqrt{169}[/tex]
[tex]c=13[/tex]
Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p, if x=-4 and y=-6
Answer:
When x = -4 and y = -6, p = 37.75
Step-by-step explanation:
Given that p = x² - y²/x² + x·y, we have;
p = (x² × x² -y² + x·y×x²)/x²
p = (x²⁺² - y² + x¹⁺² × y)/x²
p = (x⁴ - y² + x³·y)/x²
Therefore, p in the simplest form is given as follows;
[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]
To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;
[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]
Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.
please solve this
.............
Answer:
D
Step-by-step explanation:
Note that I will be using a, b, and y instead of their Greek counterparts.
First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get
sin(b+y) = sin(b)cos(y) + cos(b)sin(y)
sin(b-y) = sin(b)cos(y) - cos(b)sin(y)
sin(a+y) = sin(a)cos(y) + cos(a)sin(y)
sin(a-y) = sin(a)cos(y) - cos(a)sin(y)
Plugging these into our equation, we get
(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))
/
(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))
=
2cos(b)sin(y) / 2cos(a)sin(y)
= cos(b)sin(y)/cos(a)sin(y)
= cos(b)/cos(a)
Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get
cos(b) / cos(π-b)
After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get
cos(π-b) = cos(π)cos(b) - sin(π)sin(b)
= -cos(b) + 0
= -cos(b)
Plugging that back into our equation, we get
cos(b) / -cos(b) = -1
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Yo it's A
Step-by-step explanation:
An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite
There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence. An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.
Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time
It's A because you add 122 every time and it goes on forever.
hope this helps lol
???? help please i don’t understand this
Answer:
1.5
Step-by-step explanation:
We hope there is something in the context of this question that tells you this is a geometric sequence. If not, it is not possible to choose an appropriate answer.
__
Assuming a geometric sequence, the n-th term is found from the first term (a1) and the common ratio (r) to be ...
an = a1·r^(n-1)
Using the given values, we can solve simultaneous equations to find a1 and r:
a2 = 48 = a1·r^(2-1) = a1·r
a5 = 6 = a1·r^(5-1) = a1·r^4
The ratio of these terms is ...
a5/a2 = (a1·r^4)/(a1·r) = r^3
6/48 = r^3 = 1/8
r = ∛(1/8) = 1/2
__
To find the 7th term, we can make use of the fact that one term is related to the next by the common ratio. (We don't need to find a1.)
Then the 7th term is ...
a7 = a1·r^(7-1) = a1·r^6 = (a1·r^4)·r^2 = a5·r^2
a7 = 6·(1/2)^2 = 6/4 = 1.5 . . . . . . substitute for a5 and r
The 7th term is 1.5.
What is the value of the expression below when x=3
10x²- 7x + 10
Answer: 79
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
10x² - 7x + 10
x = 3
Substitute the value into the expression
= 10 (3)² - 7 (3) + 10
Simplify by multiplication
= 10 (9) - 21 + 10
= 90 - 21 + 10
Simplify by subtraction
= 69 + 10
Simplify by addition
= 79
Hope this helps!! :)
Please let me know if you have any questions
Answer:
92
Step-by-step explanation:
The variable 'x' shows up twice in this expression. Replace each instance of 'x' with 3:
10(3)^2 - 7(3) + 10 = 10(9) - 21 + 19 = 92
Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25
Answer:
A. 13
Step-by-step explanation:
2(x - 3) + 3y
2(5 - 3) + 3×3
2× 2 + 3×3
4 + 9
13
Answer:
The correct answer is A
Step-by-step explanation:
2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)
next,
you would solve it
2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3
finally you solve it
10-6 = 4 +9
= 13!
Choose the best answer that represents the property used to rewrite the
expression.
log root(12, 125x ^ 3) = 1/4 * log 5x
Answer:
commutative properties
PLEASE Help! I need this by tomorrow!
Answer:
18m
Step-by-step explanation:
6 times 3 = 18
really urgent...i need the working also ...pls help me
Answer:
See below.
Step-by-step explanation:
In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.
speed = distance/time
Now we solve it for time. Multiply both sides by time and divide both sides by speed.
speed * time = distance
time = distance/speed
Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.
1) speed = 44.1 km/h; distance = 150 km
time = distance/speed = 150 km/(44.1 km/h) =
= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes
2) speed = 120 km/h; distance = 90 km
time = distance/speed = 90 km/(120 km/h) =
= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes
3) speed = 125 m/s; distance = 500 m
time = distance/speed = 500 m/(125 m/s) =
= 4 seconds
Mrs. Yadav purchase 25 kg of vegetable at Rs 20 per kg and sold at a loss of Rs 50 find her
Selling rate and loss percent
Answer:
[tex] \boxed{loss\% \: = 10\%}[/tex][tex] \boxed{selling \: price = Rs 450}[/tex]Step-by-step explanation:
Given,
Cost price of 25 kg of vegetables ( CP ) = 25 × 20
= Rs 500
Loss amount = Rs 50
Selling price ( SP ) = ?
Loss percent = ?
Now, let's find the loss percent :
[tex] \mathsf{ \frac{loss}{cost \: price} \times 100\%}[/tex]
[tex] \mathsf{ = \frac{50}{500} \times 100\%}[/tex]
[tex] \mathsf{ = 10\%}[/tex]
Loss % = 10 %
Now, let's find the selling price:
[tex] \mathsf{ \frac{CP(100 - l\%)}{100} }[/tex]
[tex] \mathsf{ = \frac{500(100 - 10)}{100}} [/tex]
[tex] \mathsf{ = \frac{500 \times 90}{100} }[/tex]
[tex] \mathsf{ = \frac{45000}{100} }[/tex]
[tex] \mathsf{= 450}[/tex]
Hope I helped!
Best regards!
Convert 25 feet per second to miles per hour.
1 mile = 5,280 feet
1 hour = 3600 seconds
3600/5280 = 0.681818 feet per second
25 ft per second x 0.681818 = 17.045 miles per hour
Round the answer as needed.
Answer:
The correct answer is 17.045 miles per hour.
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.
nOSE
D
AS
DA
DAS
DA
SD
ADA
SD
Answer:
Oc
Step-by-step explanation:
Oc because product means multiplication and there is a negative sign
The midpoint of a sègment is (6,-4) and one endpoint is (13,-2). Find the coordinates of the other endpoint.
let other one be (x,y)
We know midpoint formula
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{13+x}{2}=6[/tex]
[tex]\\ \sf\longmapsto 13+x=12[/tex]
[tex]\\ \sf\longmapsto x=12-13[/tex]
[tex]\\ \sf\longmapsto x=-1[/tex]
And
[tex]\\ \sf\longmapsto \dfrac{-2+y}{2}=-4[/tex]
[tex]\\ \sf\longmapsto -2+y=-8[/tex]
[tex]\\ \sf\longmapsto y=-8+2[/tex]
[tex]\\ \sf\longmapsto y=-6[/tex]
Answer:
(- 1, - 6 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula
Use this formula on the endpoints and equate to the coordinates of the midpoint.
let the other endpoint = (x, y) , then
[tex]\frac{13+x}{2}[/tex] = 6 ( multiply both sides by 2 )
13 + x = 12 ( subtract 13 from both sides )
x = - 1
[tex]\frac{-2+y}{2}[/tex] = - 4 ( multiply both sides by 2 )
- 2 + y = - 8 ( add 2 to both sides )
y = - 6
The coordinates of the other endpoint are (- 1, - 6 )
(x+3)(x-5)=(x+3)(x−5)=
Answer:
(x+3)(x-5)=(x+3)(x-5)
x^2-2 = x^2-2
Step-by-step explanation:
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]
Step 1: Simplify both sides of the equation.
[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]
Step 3: Add 2x to both sides.
[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]
Step 4: Add 15 to both sides.
[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]
Answer : All real numbers are solutions.
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?1) (5/1)/(40/3)
2) (5/1)/(40/5)
3) (40/3)/(40/5)
4) (3/1)(37/4)/(40/3)
5) (3/1)(37/4)/(40/5)
Answer:
[tex]\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]
Step-by-step explanation:
The total number of ways in which 5 specimens can be selected from the dish at random is given as C(40, 5).
Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).
3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).
Therefore, the probability that only 1 of the 5 specimens selected will have the trait = [tex]\frac{C(3,1)*C(37,4)}{C(40,5)} =\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]
At 11,560 feet above sea level, Climax, Colorado, is the highest town in the united States. The lowest town in Calipatria, California, at 185 feet below sea level. Express both of these distance as integers and tell which is closer to sea level. How much closer to sea level is the town that is closer?
Answer:
Climax: 11,560. Calipatria: 185 Calipatra is closer by 11,375ft
Step-by-step explanation:
Climax is 11,560ft above sea level, which means it is 11,560ft away from sea level. Calipatria 185ft away from sea level by the same logic. The one whih is closer to sea level would be the smaller number, which would be 185, and how much closer would be 11,560-185= 11,560.
If you're wondering why the 185 isn't negative, it's because the question is asking how far away from zero the numbers are, so you would take the absolute value of -185 which would be 185.
What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me
Answer:
-1
Step-by-step explanation:
2(3х – 1) > 4х – 6
Distribute
6x -2 > 4x-6
Subtract 4x from each side
6x-2-4x > 4x-6-4x
2x-2 > -6
Add 2 to each side
2x-2+2> -6+2
2x> -4
Divide by 2
2x/2 > -4/2
x > -2
The number is greater than -2
The only number that is greater than -2 is -1
A.) Pinky bought 1. 1/2 kg of apples and 5. 1/4 kg of mangoes 1. 1/2 kg of oranges. Find the total weight of fruits B.) if her family eats 3/4 kg of apples and 2. 1/2 kg of mangoes and 1/2 kg of oranges. Find the weight of fruits left (Please say the answer with explanation who says the answer first I will mark them as the brainliest)
Answer:
A. Total weight of the fruits is 2.25 kg
B. There are no more fruits left.
Step-by-step explanation:
A.
To get the total weight of the fruits, we will first of all have to sort out the fruits and multiply the weight of the fruits by the number available.
Weight of apples:
we have one 1apple weighing 1/2 kg. The weight will be 1 |X 1/2 = 1/2 kg
Weight of mangoes:
We have five mangoes weighing 1/4 kg. Total weight will be 5 X 1/4 = 5/4 kg
Weight of oranges:
We have one orange weighing 1/2 kg. Total weight will be 1X 1/2 = 1/2 kg
Total weight of the fruits will be total weight of Mangoes + oranges + apples
= 1/2 + 5/4 + 1/2 = 2.25kg
B.
If her family begins to eat off some portions of the fruits, we will have to calculate the sum total of all the weights of fruits eaten
The portion eaten will be 3/4 + (2 X 1/2) + 1/2 = 2.25kg
If this happens the family would have eaten all of the fruits because
the original weight present is only 2.25kg of fruits to start with
What is the most direct use of a compass in geometric constructions?
A.
to draw congruent angles
B.
to draw arcs of a given size
C.
to draw perpendicular lines
D.
to draw straight lines
Answer:
B
Step-by-step explanation:
to draw arcs of a given size
Answer:
B. to draw arcs of a given size.
Step-by-step explanation:
its correct on plato :)
The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?
Total weight required is half pound, so let the amount of cashews be [tex] a[/tex] , and amount of peanuts be $b$
$\therefore a+b=0.5$ (1)
And we want this to cost $2.80$
Cost of $a$ pound of cashews will be $5.50\times a$ and cost of $b$ pound peanuts will be $2.30\times b$
$\therefore 5.5a+2.3b=2.8$ (2)
Substitute $a=0.5-b$ from equation (1) in equation (2)
$5.5(0.5-b)+2.3b=2.8$
$\implies -3.2b=2.8+5.5\times0.5 $
$\implies -3.2b=0.05$
$b$ comes out to be negative. That means there's no solution with the given conditions.
I checked once , I don't think there's any mistake. Can someone else verify too?
EDIT
I verified all the given options from calculator, and no option gives 2.80
Fachorise completely
x^2y^2-1
Answer:
[tex](xy+1)(xy-1)[/tex]
Step-by-step explanation:
x²y²-1
=(xy)²-(1)²
=(xy+1)(xy-1)
help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14
Answer: d) 14
Step-by-step explanation:
Equation of a line passing through (a,b) and (c,d):
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of a line passing through (2, 18) and (–3, 8):
[tex](y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14[/tex]
Comparing resulting equation [tex]y=2x+14[/tex] to [tex]y = m x + b[/tex], we get value of b= 14.
Hence, correct option is d) 14
Which equation represents the line that is perpendicular to y=3/4x+1 and passes through (-5,11)
Will give brainliest!!
Answer:
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] , thus
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 11) into the partial equation
11 = [tex]\frac{20}{3}[/tex] + c ⇒ c = 11 - [tex]\frac{20}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of perpendicular line
The equation of the line that passes through (-5, 11) and perpendicular to y = (3/4)x + 1 is
y = -2x + 1
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
y = (2/4)x + 1 is in the form of y = m(2)x + c
So,
m(2) = 2/4 = 1/2
The equation of the line y = m(1)x + c is perpendicular to y = (2/4)x + 1.
So,
m(1) x m(2) = -1
m(1) = -1/(1/2)
m(1) = -2
Now,
y = -2x + c passes through (-5, 11).
This means,
11 = -2 x (-5) + c
11 = 10 + c
11- 10 = c
c = 1
Thus,
The equation of the line is y = -2x + 1.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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Geometry, please answer question ASAP
Answer:
It's 5 which is A.
Step-by-step explanation:
An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate that percentage with a margin of error of 5% and 95% confidence. To gauge the size of the problem, the agency first picks 50 cars and finds 12 with faulty emissions systems. How many should be sampled for a full investigation?
Answer:
197
Step-by-step explanation:
Sample proportion is; p^ = 12/50 = 0.24
Margin of error of 5% is given by the formula;
ME = (z_0.05) √[p^(1 - p^)/n]
Let's make n(number of sample) the subject.
n = ((z_0.05)/ME)²((p^)(1 - p^))
From tables, the z-score of 0.05 is 1.645
Thus;
n = ((1.645)/0.05)²(0.24(1 - 0.24))
n ≈ 197
convert 13 into binary numbers
Answer:
8 4 2 1
1 1 0 1
[tex]13_{ 10} = 1101_{ 2 }[/tex]
Step-by-step explanation:
The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?
Answer:
61
Step-by-step explanation:
x+x+1+x+2 = 183
3x+3 = 183
3x = 180
x = 60
Second number = x+1 = 61
Please help explanation if possible
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
55%
Step-by-step explanation:
What is a 27 of the sequence 15, 10,5,...?
A.O
B. -75
c.
1/625
D. -115
Answer:
B. -75
Step-by-step explanation:
you count backwards from 5, 27 times