What is the 10th term in -9,-6,-1,6,15
Answers
Answer:
90
Step-by-step explanation:
This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90
Related Questions
p (a) =2/5 p(b)=1/4 ( a and b=1/25I did two events independent or dependent please help
Answers
we have
p (a) =2/5 p(b)=1/4 ( a and b=1/25
Remember that
we know that for two independent events A,B.
⇒ P(A∩B)=P(A)*P(B)
we have
P(A)=2/5 and P(B)=1/4
so
P(A∩B)=(2/5)*(1/4)=2/20=1/10
that means
events are dependentDetermine whether the
quadratic function
y=x² + 4x + 6 has
a maximum or minimum value.
Then find the value.
O maximum
minimum
The value is
Answers
Answer:
(a) The function has a minimum value
(b) The minimum value is 2
Step-by-step explanation:
(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is
y = ax^2 + bx + c.
We know that for our function a = 1.
When a > 0, the parabola opens upward and the vertex is a minimumWhen a < 0, the parabola opens downward and the vertex is a maximumThus, y = x^2 + 4x + 6 must have a minimum value.
(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.
Step 1: First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.
Plugging in 4 for b and 1 for a, we get:
x-coordinate of minimum = -4 / 2(1)
x-coordinate of minimum = -4 / 2
x-coordinate of minimum = -2
Step 2: Now we can plug in -2 for x in the quadratic function. The result will be our minimum value:
f(-2) = (-2)^2 + 4(-2) + 6
f(-2) = 4 - 8 + 6
f(-2) = -4 + 6
f(-2) = 2
Thus, the minimum value of the quadratic function is 2.
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 1650 . What was the rate charged per hour by each mechanic if the sum of the two rates was 135 per hour?
Answers
Rates of first and second mechanics are 75 and 60 per hour respectively.
What does an equation mean?A mathematical statement or relation between two or more numeric values, variable and mathematical operations via equal sign is called an Equation.
How to solve equations in Elimination Method?Elimination method is a kind of method to solve simultaneous equations in two variables. In elimination method we compare coefficient of one of two variables and in next step we eliminate that variable using addition or subtraction and form another relation with only one variable and find the value for that one variable and then substituting that value initial equation we can get the value of another variable.
Let the rate of first mechanic and second mechanic be x and y per hour respectively.
Sum of the two rates is 135 per hour. So the suitable equation will be,
x+y = 135 ............... (i)
Since they charged together 1650 after working 10 hours by first and 15 hours by second mechanics. So the suitable equation this time will be,
10x+15y = 1650
5(2x+3y) = 1650
2x+3y = 1650/5
2x+3y = 330 ............... (ii)
Multiplying 2 with equation (i) and then subtracting it from equation (ii) we get,
(2x+3y) - 2(x+y) = 330 - 2*135
2x+3y-2x-2y = 330-270
y = 60
Substituting y=60 in equation (i) we get,
x+60 = 135
x = 135-60 = 75
Hence, the rates charged per hour are 75 and 60 per hour respectively.
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Polynomial functions need help on questions 4 6 8 10
Answers
ANSWER
4) h(-1/2) = 5/8
8) k(a²) = a⁴ + 3
EXPLANATION
4)
h(-1/2) means that we have to replace t by -1/2 into h(t):
\(h\mleft(-\frac{1}{2}\mright)=-2\mleft(-\frac{1}{2}\mright)-\frac{3}{2}\cdot\mleft(-\frac{1}{2}\mright)^2\)Since this has all numbers we can find a numeric answer:
\(\begin{gathered} h\mleft(-\frac{1}{2}\mright)=1-\frac{3}{2}\cdot\frac{1}{4} \\ h\mleft(-\frac{1}{2}\mright)=1-\frac{3}{8} \\ h\mleft(-\frac{1}{2}\mright)=\frac{5}{8} \end{gathered}\)8) This is similar to problem 4, but instead of having numbers we just have to replace by an expression. k(a²) means to replace a by a² in k(a):
\(k(a^2)=(a^2)^2+3\)In this case we don't have numbers to solve, but we can simplify this expression by using the property of exponent of exponents:
\(\begin{gathered} k(a^2)=a^{2\cdot2}+3 \\ k(a^2)=a^4+3 \end{gathered}\)A scientist was tracking the diving patterns of whales. A whale was at a depth of 3 meters below sea level and then dove an amount of ten meters twice before ascending four meters. The scientist noted that the whale’s current depth in relation to sea level was -16 m. What error did the scientist make?
A The scientist used a negative amount when it should be positive. The correct answer is 16 m.
B The scientist did not include the whale’s starting depth. The correct answer is -19 m.
C The scientist needed to add all the amounts together. The correct answer is -27 m.
D The scientist did not make an error. The correct answer is -16 m.
Answers
Answer:
the answer is b
Step-by-step explanation:
i got the question correct with the answer b
What is the approximate value
Answers
Answer:
slightly more than 15
Step-by-step explanation:
3.14 × 5 = 15.7
Denise made 1/2 of a liter of hot chocolate. Each mug holds 1/10 of a liter. How many mugs will Denise be able to fill?
Answers
Answer:
5 mugs
Step-by-step explanation:
1/2 converted into 10ths would be 5/10 ... meaning 5 mugs
100 points. Type the correct answer in each box. Use numerals instead of words. If necessary, round your answer to the nearest hundredth. Ana and Taylor are on the lacrosse team and practicing their passes. The vertical height, a(s), of Ana's pass x feet from where it was thrown is modeled in this table. 0 10 20 30 40 50 60 () 0 20 32 36 32 20 0 The vertical helght (), of Taylor's pass x feet from where it was thrown is modeled by this equation, tir) = -0.05(12 - 50m) Complete the statements comparing their passes. The difference of the maximum heights is feet. The difference of the total distances traveled is feet.
Answers
Answer:
4.75/ 10 ft.
Step-by-step explanation:
If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
Answers
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
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there exist two complex numbers $c$, say $c 1$ and $c 2$, so that $3 2i$, $6 i$, and $c$ form the vertices of an equilateral triangle. find the product $c 1 c 2$ in rectangular form.
Answers
(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.
What is triangle?A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.
Here,
An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.
The distance between two complex numbers a + bi and c + di can be found using the formula:
√((c - a)² + (d - b)²)
So, the distance between 3-2i and 6-i is:
√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10
And the distance between 3-2i and c is:
√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)
Since these distances must be equal, we have:
√((c - 3)² + (c + 2)²) = √10
Squaring both sides:
(c - 3)² + (c + 2)² = 10
Expanding both sides:
c² - 6c + 9 + c² + 4c + 4 = 10
Combining like terms:
2c² + 10c + 5 = 10
Subtracting 10 from both sides:
2c² + 10c - 5 = 0
This is a quadratic equation, which can be solved using the quadratic formula:
c = (-b ± √(b² - 4ac)) / 2a
Where a = 2, b = 10, and c = -5. Plugging these values into the formula:
c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2
c = (-10 ± √(100 + 40)) / 4
c = (-10 ± √(140)) / 4
c = (-10 ± 10√2) / 4
So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.
The product of these two solutions is:
c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)
= (100 - 100√2 + 100) / 16
= (200 - 100√2) / 16
(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.
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Write an equation of the line passing through the points (3,3) and (-2, -17).
The equation of the line is
Answers
Answer:
Y = 4 X - 9
Step-by-step explanation:
Let (3,3) be ( x 1, y 1 ) and ( -2, -17 ) be ( x 2, y 2)
Finding the slope of the line;
Slope = y 2 - y 1
x 2 - x 1
Slope = -17 - 3 = -20 = 4
-2 - 3 -5
Slope = 4
Making an equation;
Slope = Y - y 1
X - x 1
4 = Y - 3
X - 3
Then, you cross multiply;
4 ( X - 3 ) = Y - 3
4 X - 12 = Y - 3
Y = 4 X - 12 + 3
Y = 4 X - 9
Question in the pic below- Pls help!!
Answers
The calculated value of the area of the shape is 84.78 square units
Finding the area of the shapeFrom the question, we have the following parameters that can be used in our computation:
The three quarter circle
The area of the shape is then calculated as
Area = 3/4 * πr²
Where
Radius, r = 6 ( from the diagram)
substitute the known values in the above equation, so, we have the following representation
Area = 3/4 * 3.14 * 6²
Evaluate
Area = 84.78
Hence, the area is 84.78 square units
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PLS ITS URGENT
Question
LE
Find the measure of 2B. Use the inverse tangent (tan-') function of your calculator. Express your answer
to the nearest degree.
Answers
Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = \(\frac{opp}{adj}\)
Tan B = \(\frac{15}{16}\)
B = \(tan^{-1}\)(\(\frac{15}{16}\))
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
Answers
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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Expression equivalent to 8p-3n+4q-9m
Answers
Answer:
4p-n+2q-3m is equivalent to 8p-3n+4q-9m
The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question following:
8p - 3n + 4q - 9m
We have to determine the equivalent expression to the given expression
As per option (C), we have
⇒ 4(2p+ q) - 3(n+3m)
Apply the distributive property of multiplication,
⇒ 4 × 2p+ 4 × q - 3 × n + 3 × m
⇒ 8p + 4q - 3n + 3m
Rearrange the terms in the above expression,
⇒ 8p - 3n + 4q - 9m
So this expression is the same as the given expression.
Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.
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The question seems to be incomplete the correct question would be:
Which expression is equivalent to 8p-3n+4q-9m
A. 0
B. 5pn - 5qm
C. 4(2p+ q)-3(n+3m)
D. 4(2p+q)-3(n-3m)
Red Lobster Bill is $43 Leaving a 15% tip What is the final bill?
Answers
Answer:
49.45
Step-by-step explanation:
15% of 43 dollars is 6.45 and 43+6.45 is 49.45
Answer:
$49.45
Step-by-step explanation:
$6.45 tip + the subtotal, $43 = $49.45.
What does this violin thing mean (circled it)
Answers
That means a down bow, it means you move your hand away from the violin, away/down :D Hope it helped!
Find the value of x7x - 14 = 28
Answers
Solving the equation for x, we have:
\(\begin{gathered} 7x-14=28 \\ 7x=28+14 \\ 7x=42 \\ x=\frac{42}{7} \\ x=6 \end{gathered}\)So the value of x is 6.
THIS IS FAST ! ,
Of the 300 marbles, 55 are red, 45 are green, 50 are blue, 40 are yellow, 30 are purple, 35
are orange, and 45 are brown. What is the ratio of red marbles to total marbles? Write as a
fraction in simplest form.
Answers
11/60
Explanation:
55/300
55: 11*5
300: 3*5*2*5*2
Eliminate the numbers that are the same
55: 11
300: 3*5*2*2=60
Now put it together
11/60
What’s the answer I need to know
Answers
Answer:
Start At 51
Step-by-step explanation:
end with the biggest number
solve the system of equations 3(x+y)-7=12x+y 6(y-2x)
Answers
Answer:
Step-by-step explanation:
☁️ Answer ☁️
Sup m8, ur answer is:
x = 6y^2 - 3y + 7 / 3 (4y - 3)
(Sorry if I made any mistake)
Hope it helps.
Have a nice day noona/hyung.
Question 1 of 10
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in square S?
T2
A. 1/3
B. 5/6
C. 3/8
D. 1/6
Answers
The probability that the point land in square S will be 5/6.
What is probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
The probability that the point does not land in triangle T is equal to subtract the area of triangle T from the area of rectangle and divided the result by the the area of rectangle
so, Find out the area of rectangle
A = (6)(4)
= 24 unit²
Find out the area of triangle T
A = 1/2(2)(4)
= 4 unit²
The probability is equal to
P = (24-4) / 24
= 20/24
= 5/6
Hence, the probability that the point land in square S will be 5/6.
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Help please and explain how to find the answer I’m struggling on how to find if it’s a reflection or a rotation
Answers
Answer:
b
Step-by-step explanation:
The sides of a triangle are in the ratio of 4:5:7 and its perimeter is 64. Find its sides
Answers
Answer:
16,20,28
Step-by-step explanation:
64 /(4+5+7)
64/16= 4
sides of triangle=4×4 :5×4: 7×4
=16:20:28
4x+7x+5x=64 in this case. 4x = the shortest side, 7x = the longest side, and 5x = the middle side. Then solve for x.
16x+64
x=4
Then plug 4 back in for x to see what the individual side lengths are.
4*4=16 for the shortest side.
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
Answers
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT
Answers
Answer:
False
Step-by-step explanation:
Plug 16 into the function as x
16+12=28
4≠28
Please help!!!
What is the measure of ∠X
Angles are not necessarily drawn to scale.
Answers
Answer:
The measure of ∠x is 75°.
Step-by-step explanation:
From inspection of the given diagram, triangle BDH is formed by line segments BD, DH and HB. (Shown in red on the attached diagram).
We have been given two of the three interior angles of triangle BDH:
m∠B = 36°m∠D = 39°Line segment BE is a straight line. As the interior angles of a triangle sum to 180°, and angles on a straight line sum to 180°, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
Angle x is the exterior angle of triangle BDH where angles B and D are the two non-adjacent interior angles. Therefore, x is equal to the sum of angles B and D:
⇒ x = m∠B + m∠D
⇒ x = 36° + 39°
⇒ x = 75°
Answer:
\(\boxed{\mathrm{\angle x = 75^o}}\)Step-by-step explanation:
Interior angles of a triangle always add up to 180, which means that...
\(\mathrm{\angle BDH + \angle DBH + \angle DHB = 180^o}\)
From the given the diagram:-
∠BDH = 39°
∠DBH = 36°
Therefore,
\(\mathrm{39^o+36^o+\angle DHB=180^o}\)
\(\boxed{\mathrm{\angle DHB =105^o}}\)
∠x and ∠DHB form a straight line meaning they are supplementary angles (They add up to 180°).
\(\mathrm{\angle DHB+\angle x=180^o}\)
\(\mathrm{105 + \angle x=180^o}\)
\(\mathrm{\angle x = 75^o}\)
Therefore, angle x equals 75°.
____________________
Hope this helps!
Find a fraction with a demominator of 30 that is equivalent to 1/3
Answers
Answer:
10/30
Step-by-step explanation:
First, multiply the denominator by 10 to make 30.
Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10
Therefore the answer is 10/30.
When Jill got a cat from the shelter, he weighed 6.5 pounds. The cat gained 45% of his original weight in the first month that Jill had him. How much did the cat weigh after the first month?
Answers
Answer:
9.425 pounds
Step-by-step explanation:
45% of 6.5 is 2.925 so we add that to 6.5 and we get 9.425.
The system shown is
O
inconsistent
•
equivalent
consistent
Answers
Answer:
This is pogers
Step-by-step explanation:
What is ur minecraft usernaem
Answer:
consistent
A consistent and independent solution to a system of linear equations is one point
A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)
An inconsistent solution is where there is no solution, the lines do not cross
Since the lines cross at exactly one point, this is a consistent and dependent solution
The solution is at x = 3 ( 3 units to the right of the origin)
and y = 2 ( 2 units up from the origin)
Step-by-step explanation: