Six consecutive numbers add up to a total of 69.what is the highest of these numbers?
Answer:
14
Step-by-step explanation:
9+10+11+12+13+14=69
The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]
Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]
Taking the sum :
[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]
[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]
Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]
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I need help with this!
Answer:
1. y=5 x=1
2. y=4 x=4/5
3. y=2 x=2/5
Step-by-step explanation:
Plug the y-values in for y:
1. 5=5x
2. 4=5x
3. 2=5x
Then solve for x:
1. x=1
2. x=4/5
3. x= 2/5
Hope this helps!
Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?
Answer:
El individuo poseía treinta millones.
Step-by-step explanation:
Podemos expresar la repartición del individuo como sigue:
[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]
Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).
Resolviendo la ecuación de arriba para "x" tenemos:
[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]
[tex] x = 30000000 [/tex]
Por lo tanto, el individuo poseía treinta millones.
Espero que te sea de utilidad!
Over what interval is the quadratic function decreasing?
x ∈ (−∞,−2)
x ∈ (-2,−∞)*******
x ∈ (-2, ∞)
x ∈ (−∞,3)
Answer:
x ∈ (-2,−∞)
Step-by-step explanation:
x ∈ (-2,−∞)
this is the answer to the question
HELP ME PLEASEEEEEEEEEEEEEE
Answer:
a
Step-by-step explanation:
What miss take did she do.
Answer:
the scale factor is
-2 and
-4
Given right triangle ABC with altitude BD drawn to hypotenuse AC
Given:
In right triangle ABC, BD is the altitude drawn to hypotenuse AC.
[tex]AD=20, DC=45[/tex]
To find:
The length of BD.
Solution:
According to geometric mean theorem of triangles, if an altitude is drawn to the hypotenuse of a triangle, then the altitude is the geometric mean of the segments of the hypotenuse.
Using geometric mean theorem of triangles, we get
[tex]BD^2=AD\times DC[/tex]
[tex]x^2=20\times 45[/tex]
[tex]x^2=900[/tex]
Taking square root on both sides, we get
[tex]x=\dfrac{900}[/tex]
[tex]x=30[/tex]
Therefore, the length of BD is 30 units and the correct option is C.
Please help I dont understand
Answer:
0
Step-by-step explanation:
f(x) = cos 3x
Let x = pi /6
f( pi /6) = cos (3pi/6)
cos (pi/2)
0
how would I classify a triangle which has a angle of 49 and 82, acute, right, or obtuse?
9514 1404 393
Answer:
acute
Step-by-step explanation:
The third angle is ...
180° -49° -82° = 49°
So, the triangle has two angles the same, 49°. When two angle are the same, the triangle is an isosceles triangle.
The largest angle, 82°, is less than 90°, so is an acute angle. The classification acute, right, or obtuse is based on the measure of the largest angle.
The triangle is an acute isosceles triangle.
Consider a Poisson distribution with μ = 6.
a. Write the appropriate Poisson probability function.
b. Compute f (2).
c. Compute f (1).
d. Compute P(x≥2)
Answer:
a) [tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b) f(2) = 0.04462
c) f(1) = 0.01487
d) [tex]P(X \geq 2) = 0.93803[/tex]
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of successes
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
In this question:
[tex]\mu = 6[/tex]
a. Write the appropriate Poisson probability function.
Considering [tex]\mu = 6[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b. Compute f (2).
This is P(X = 2). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
So f(1) = 0.01487.
d. Compute P(x≥2)
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
Then
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803[/tex]
So
[tex]P(X \geq 2) = 0.93803[/tex]
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Question 12
Mr Espent 65% of his salary on household expenses, and 15% of the remainder on travelling expenses and was finally left with R9 500. How much was his salary?
Answer:
rs.1680.67
Step-by-step explanation:
His salary = x
remaining % = 100 - 65 = 35%
= 100 - 15 = 85%
x × 35/100 × 85/100 = 500
x = 1680.67
Write two rational and three irrational number that are between 3and 4
a)rational number :
1)(3+4 )/2
=7/2 =3.5
2)(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)10/3=3.33....
2)11/3=3.66....
......I hope it will help you. ..
Answer:
The real numbers, which can be represented by the ratio of two integer numbers, are called rational numbers, say P/Q where Q is not equal to zero.
The actual numbers that cannot be expressed as the two integer ratio are called irrational numbers.
Step-by-step explanation:
a)rational number :
1)
(3+4 )/2
=7/2 =3.5
2)
(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)
10/3=3.33....
2)
11/3=3.66....
3)
√13
In a bag of mini candy bars, 40% of the candy bars are Snickers. There are 120 Snickers in the bag. How many total mini candy bars are in the bag?
Answer:
The amswer is 48.
Step-by-step explanation:
120×0.40=48
1. Round 0.007492 to the nearest hundredth.
Answer:
The answer is 0.01
Step-by-step explanation:
so in order to round it you have to know after the decimal it goes: tenths, hundreds, thousands (0 tenths, 0 hundreds, 0 thousands)
So 0.007492, take the first 3 numbers after the decimal, 0.007, since it will be in the hundreds place, lets see if we can round the 0 up. If the number behind 0 is greater then or equal to 5 round up, if the number is less then 5 then it stays the same. Since 7>5 it rounds up, so the 0 becomes 1. So your new number will be 0.01
Hoped this helped :D
By rounding 0.007492 to the nearest hundredth, we get 0.01.
What is the method of rounding a number?The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Example: 0.3879 rounded to the nearest hundredth is 0.39.
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Example: 0.3823 rounded to the nearest hundredth is 0.38.
Given number is 0.007492.
Rounding to nearest hundredth, we get:
0.00749 ⇒ 0.01.
Learn more about rounding a number to nearest hundredth here: https://brainly.com/question/13313945
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What means the same as 6 x 5?
What means the same as 3 + 3 + 3 + 3?
65
35
5 + 5 + 5 + 5 + 5
3 X 3
6 + 6 + 6 + 6 + 6
3 X 4
COMPLETE
COMPLETE
What means the same as 657
What means the same as 2.2.2.2. 2?
5.5.5.5.5
25
6.6.6.6.6
2 x 5
6 + 6 + 6 + 6 + 6
52
COMPLETE
COMPLETE
Answer:
6x5 can also be 6+6+6+6+6
3+3+3+3 can also be 3x4
5+5+5+5+5 can also be 25
3x3 can be 3+3+3
Step-by-step explanation:
Answer:
Here were your Answers
Step-by-step explanation:
Good Job you got it right you must be new to this app because your suppose to ask a question then someone will come and see your question and answer it for you maybe look around at other people's question's and how to use this app. Have a Nice day :) happy face This is for
omar2566 and for everyone!
i don't know what to do so can someone help me
Answer:
1. 8r+7
2. 8 ( r-t)
3. 2(3r+5t)
Step-by-step explanation:
See Image below:)
work out 8^2/3
^2/3 means to the power of 2/3
Hi there!
»»————- ★ ————-««
I believe your answer is:
4
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\8^{\frac{2}{3}}\\-----------\\\text{Recall the Exponent Rule: }} a^{\frac{b}{c}} = \sqrt[c]{a^b}\\\\\rightarrow {\frac{\text{Power}}{\text{Root Index}}\\\\[/tex]
[tex]-----------[/tex]
[tex]\rightarrow 8^{\frac{2}{3}}\\\\\rightarrow \sqrt[3]{(8^2)}\\\\\rightarrow\sqrt[3]{64}\\\\\rightarrow \boxed{4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
4
Step-by-step explanation:
[tex]8^{\frac{2}{3} }[/tex]
=[tex](2)^3*\frac{2}{3}[/tex]
=[tex](2)^\frac{3*2}{2}[/tex]
=[tex](2)^\frac{6}{3}[/tex]
=[tex]2^2[/tex]
=4
How do I solve this
Answer:
P(A or B) = 1.16
Step-by-step explanation:
Given probability:
Probability of event A = P(A) = 0.46
Probability of event B = P(B) = 0.7
P(A and B) = 0.43
Find:
P(A or B)
Computation:
If A is an incident and B is a separate event, P(A or B) is the possibility of either A, B, or both events occurring.
P(A or B) = P(A) + P(B)
P(A or B) = 0.46 + 0.7
P(A or B) = 1.16
Which represents where f(x) = g(x)
Which statement is true? Q A) |13| = – 13 B) – |–13| = 13 C) |–13| = 13 D) – |13| = 13
Answer:
C
Step-by-step explanation:
The absolute value of |13| and |-13| is always 13. It never goes negative unless there is a minus sign outside the absolute value | | symbol. A is wrong
B: Not correct. Read the explanation for A. The answer to B is - 13
C: Correct. See the remark the was made about A
D: Incorrect as well. The minus is outside the absolute value symbol. The answer is - 13
Answer:
C .////.
Step-by-step explanation:
When you have /13/ its always positive even if there's a negative in there. If there was the negative symbol on the outside its a negative number :)
Plsssss ans I am suffering
From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years.
What would be the cost after 20 years of an item that costs $100 initially? (Round your answer to the nearest cent.)
$
Answer:
23.42
Step-by-step explanation:
If something is decreasing by 7% we can mulitply it by (1-.07) or .93
so our formula is
100(.93)²⁰= 23.42388737
which rounds to 23.42
Using the exponential decline function ; the cost of the item after 20 years would be $23.42
Recall :
[tex] y = A(1 - r)^{t} [/tex] y = final amount A = initial price = $100Rate, r = 7% = 0.07Time, t = 20yearsSubstitute the values into the equation :
[tex] y = 100(1 - 0.07)^{20} [/tex]
[tex] y = 100(0.93)^{20} [/tex]
[tex] y = 100(0.23423887366)[/tex]
y = $23.42
Therefore, the cost of the item after 20 years is $23.42
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Find the value of -6 + 8(-3) ÷ 4
please help me .
Answer:
-12
Step-by-step explanation:
cause from the rule
we should always solve from bracket so -3×8= -24
and -24/4= -6
and -6-6
= -12
I need a math genius please
!!WILL MARK BRAINLIEST!! PLEASE SOMEONE HELP!! IM TRYING TO PREPARE FOR MATH CAMP AND THEY GAVE US THIS PROBLEM AND I CANT FIND ANYTHING LIKE IT!!
Answer:
How long is the [shirt] in the air? 3 seconds
How many seconds after launching is the t-shirt at 17 feet? 0.25 seconds
Step-by-step explanation:
Formula to represent the shirt's flight path (given): [tex]h=-16t^2+vt+c[/tex], where [tex]h[/tex] is the height of the shirt, [tex]v[/tex] is the initial velocity of the shirt, [tex]c[/tex] is the shirt's starting height, and [tex]t[/tex] is elapsed time since launch.
The function forms a parabola concave down. Since the shirt is caught at 17 feet, we want to second x-coordinate of a point with a y-coordinate of 17 that the function passes through. This is because the shirt was caught going down, not up.
Therefore, let [tex]h=17[/tex]:
[tex]17=-16t^2+52t+5,\\\\-16t^2+52t-12=0,\\\\ y= \frac{-52\pm\sqrt{52^2-4(-16)(-12)}}{2(-16)},\\\\y=\frac{1}{4},\boxed{y=3}[/tex].
The second x-coordinate is the larger of the two and therefore the shirt was in the air for 3 seconds.
However, the first time the shirt reaches a height of 17 feet is on its way up, which occurs at 1/4 or 0.25 seconds (the first x-coordinate). Therefore, the t-shirt reached a height of 17 feet 0.25 seconds after launching.
Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
What is the reciprocal of tanB in the triangle below?
Right triangle A B C is shown. C is the right angle and side A B is the hypotenuse.
tanC
tanA
tan-1C
tan-1A
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A
Answer:
Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.
Have a Good Day! God bless!
Step-by-step explanation:
Question 6 “A”
Question 7 “D”
Question 8 “B”
Question 9 “B”
Question 10 “A”
Note: Answers From 1 to 5 in order here:
Question 1 “ B”
Question 2 “A”
Question 3 “B”
Question 4 “D”
Question 5 “D”
Two workers paint lines for angled parking spaces
Answer:
2nd option
Step-by-step explanation:
The lines are parallel because the angles are congruent since they are Alternate exterior angles.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
Given:
In the given circle, the measure of major arc TV is 220 degrees.
To find:
The measure of angle TUV.
Solution:
In a circle, the measure central angle of arc is equal to its corresponding arc measure and according to central angle theorem, the measure of subtended angle on an arc is half of the measure of central angle of that arc.
So, the measure of subtended angle is half of the measure of its corresponding arc.
[tex]m\angle TUV=\dfrac{1}{2}\times \text{Measure of major arc TV}[/tex]
[tex]m\angle TUV=\dfrac{1}{2}\times 220^\circ[/tex]
[tex]m\angle TUV=110^\circ[/tex]
Therefore, the measure of angle TUV is 110 degrees.
i need the answer fast please
Step-by-step explanation:
everything can be found in the picture
Estimate 9272 - 28 by first rounding each number so that it has only 1 nonzero digit.
Answer:
8970
Step-by-step explanation:
In order to round 9272 so that it has only 1 nonzero digit, look at the hundred digit, If the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero
The hundred digit is 2 which is less than 5, so 0 is added to 9. the number becomes 9000
In order to round 28 so that it has only 1 nonzero digit, look at the units digit, If the number is greater or equal to 5, add 1 to the tens figure. If this is not the case, add zero
The units digit is greater than 5, so 1 would be added to tens digit. the number becomes 30
9000 - 30 = 8970
