Answer:
13
Step-by-step explanation:
b^2+4
Let b = -3
(-3)^2 +4
9+4
13
Answer:
13
Step-by-step explanation:
When we want to find the value of an expression and we know the unknown values of the variables, we just have to plug them in:
b^2 + 4, and we know b = -3
= (-3)^2 + 4
= 9 + 4
= 13
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?
The Probability that exactly three out of the next eight eastbound cars that arrive randomly at the light will be stopped by a red light is approximately 0.268.
The probability that the light is red is given by the ratio of the time the light is red to the total cycle time:
P(red) = 15 / (15 + 5 + 30) = 0.375
Using the binomial distribution, the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light is:
P(X = 3) = (8 choose 3) * (0.375)^3 * (0.625)^5
where (8 choose 3) is the binomial coefficient, which represents the number of ways to choose 3 cars out of 8. Evaluating this expression gives:
P(X = 3) = (8 choose 3) * (0.375)^3 * (0.625)^5
= (8! / (3! * 5!)) * (0.375)^3 * (0.625)^5
= 56 * 0.052734375 * 0.1787109375
≈ 0.268
Therefore, the probability that exactly three out of the next eight eastbound cars that arrive randomly at the light will be stopped by a red light is approximately 0.268.
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Which of the following is a trinomial?
A. 9/5x2
B. 12x²+2x+10
C. 13x³
D. 3x-√15
The expression that is trinomial: 12x²+2x+10
Correct option is B.
What is trinomial?A trinomial is an algebraic expression that has three non-zero terms and has at least one variable in the expression. A trinomial is a type of polynomial but with three terms.
Given expressions
A. (9/5)x²
There is only one term, it is monomial not trinomial.
B. 12x²+2x+10
There are 3 terms , it is a trinomial.
C. 13x³
There is only one term, it is monomial not trinomial.
D. 3x-√15
There are only three terms, it is binomial not trinomial.
Hence, 12x²+2x+10 is a trinomial
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3. Write an equation, using variables, to represent the identities we der
4. Using your knowledge of identities, fill in each of the blanks.
a. 4+5- = 4
b. 25 + 10 = 25
_+16-16 = 45
d. 56-20+ 20 =_____
5. Using your knowledge of identities, fill in each of the blanks.
a. a+b-
=a
d.
-=
b. c-d+d=_
c. e+-f=e
_-h+h=g
The blanks has bee filled by using the correct identities of the algebra.
Explain the term identities?An equality that is certainly part of the values selected for its variables is called an identity. They are used to rearrange or simplify algebraic expressions. The two halves of an identity are, by definition, interchangeable, and we are always free to switch one for the other.Any value that is placed into the variable makes the identity equation always true. How to solve identity equations .Start by grouping like terms together until given any identity equation in a particular set of variables.Part 4:
a. 5 + 5 - 6 = 4
b. 25 - 10 + 10 = 25
c. 24 + 16 - 16 = 24
d. 56 - 20 + 20 = 56
Part 5:
a) a + b - b = a
b) c - d + d = c
c) e + f - f = e
d) g - h + h = g
Thus, the blanks has bee filled by using the correct identities of the algebra.
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The correct question is-
4. Using your knowledge of identities, fill in each of the blanks.
a. 5 + 5 - ___ = 4
b. 25 - ___ + 10 = 25
c. ___ + 16 - 16 = 24
d. 56 - 20 + 20 = ___
5. Using your knowledge of identities, fill in each of the blanks.
a) a + b - ___ = a
b) c - d + d = ____
c) e + ___ - f = e
d) ___ - h + h = g
PLSSS HELP ME ASAPPPPPPP
4.a) A car consumes a gallon of petrol for every 30 km drive. The driver of the car set out on a journey of 420 km with 10 gallons of petrol in the fuel tank. i) How many more gallons of petrol will be needed to complete the journey? ii)find the cost of the petrol for the journey of 420km if a gallon of petrol cost GH¢5.50
i) 4 more gallons of petrol will be needed to complete the journey.
ii) The cost of the petrol for the 420 km journey is GH¢55.00.
i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.
Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):
Distance covered with 10 gallons = 10 * 30 = 300 km
To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:
Remaining distance = Total distance - Distance covered with available petrol
Remaining distance = 420 km - 300 km = 120 km
Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:
Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons
Therefore, the driver will need 4 more gallons of petrol to complete the journey.
ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.
Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:
Cost of petrol = Total gallons used * Cost per gallon
Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00
Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.
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Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is (Simplify your answer.) B. There is no solution.
Answer: Choice A, x=-4
Step-by-step explanation:
1. 9x−(3x+9)=2x−25
2. 9x-3x-9=2x-25
3. 6x-9=2x-25
4. 6x-9=2x-25
-2x -2x
5. 4x-9=-25
+9 +9
6. 4x=-16 (divide both sides by 4)
7. x=-4
FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST
9514 1404 393
Answer:
59 3/4
Step-by-step explanation:
The change from the opening price is ...
-50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price
The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?
Answer:
A circle.
Step-by-step explanation:
Ok, any plane has a vector normal to it.
Then the plane that cuts the sphere, has a normal vector.
If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.
Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.
Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.
Then the shape that is a representation of the cross-section is a circle.
!!!!!?!??!
Pls help me plsss
Answer:
A is only ur answer
Hope it helps you.
V = 1/3 π r^2h; If V = 48 π when r = 4, find h
Answer:
\(48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9\)
Which point is located at (0,- 4)?
-b
-e
-d
-h
Answer:
H
Step-by-step explanation:
Because the ratio looks like this (x, y) = (0, -4)
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer: The letter H. Remember to follow the X and y axis to help you.
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
The point A (-5, -2) is reflected over the line y=-1, and then is reflected over the line x= 3.
The coordinates of A exist (11, 0).
How to estimate the coordinates of A?Let, the point A (-5, -2) exists reflected over the line y = -1, and then stand reflected over the line x = 3.
The distance between the y value exists -1 - (-2)= 1
We move 1 unit beyond the line y = -1
After reflection over the line y = -1 the coordinates of A becomes (-5, 1-1) is (-5, 0)
It exists reflected over the line x = 3
The distance between -5 and 3 exists 3 - (-5) = 8
We move 8 units out from the line x = 3
The Point (-5, 0) becomes (3 + 8, 0) exists (11, 0).
Therefore, the coordinates of A exist (11, 0).
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The complete question:
The point A (-5, -2) is reflected over the line y = -1, and then is reflected over the line x = 3. What are the coordinates of A.
?/1
Evaluate g(-4) if
g(x)=x^2 −2x+5
Please answer with g(-4) =
Answer:
g(-4) = 29
Step-by-step explanation:
g(-4) = (-4)^2 -2(-4)+5
= 16 + 8 +5
= 29
What is the ratio of the number of 8 nickels to the number of 10 dimes?
Answer:
2/5
Step-by-step explanation:
start by 8*5 then 10 times 10 then simplify
Answer:
2/5
Step-by-step explanation:
A nickel is worth= 5 cents.
A dime is worth= 10 cents.
So ratio=8×5/10×10
=40/100
=2/5
So the ratio is 2/5
Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
SZ is the angle bisector of angle S, so ...
∠ASZ = ∠ZSB
5x -9 = 16
5x = 25 . . . . . . add 9
x = 5 . . . . . . . . .divide by 5
Answer:
C
Step-by-step explanation:
mhm
sphere edges vertices face ?
A sphere has no faces, no edges, and no vertices.
What are the faces, edges and vertices of a sphere ?A sphere is defined as the set of all points in three-dimensional space that are equidistant from a fixed point, called the center. The distance from the center to any point on the sphere is called the radius.
Spheres have a continuous, smooth, and curved surface, unlike polyhedra, which have flat faces, edges, and vertices. In contrast, a sphere does not have any flat faces, straight edges, or sharp corners. Its surface is entirely smooth and curved, with no distinct points where multiple edges meet.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
[1 -5 -4
0 0 7]
A. X1 = - 4 + 5x2 X2 is free
B. (-4,7)
C. X1 = - 4 +5x2
X2=7
X3 is free
D. There is no solution.
Answer:
Option D (There is no solution) is the correct answer.
Step-by-step explanation:
According to the question, the matrix is:
⇒ \(\left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right]\)
The linear equation will be:
⇒ \(x-5y=-4\)
and
⇒ \(0.x+0.y=7\)
i.e,
\(0=7\) (Not possible)
Thus the above given matrix has no solution. So the above is the correct option.
What is the number of degrees the minute hand of a clock moves between 10:21 pm and
10:34 pm on the same day?
Answer:
13
Step-by-step explanation:
Marlon is mixing blue paint and yellow paint in the ratio of 2:3 to make green paint. If he uses 8 liters of blue paint, how many liters of yellow paint will he need?
Answer:
12
Step-by-step explanation:
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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Please help . Questions.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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Match the following equations to the correct property that is being used.
7+(13+4)=(7+13)+4
8(x+3)=8(x)+8(3)
5×7×3=7×5×3
(7+x)3=3(7)+3(x)
Associative Property, Commutative Property, or Distributive Property for each one
Answer:
7+(13+4)=(7+13)+4 : Associative Property
8(x+3)=8(x)+8(3) : Distributive Property
5×7×3=7×5×3 : Commutative Property
(7+x)3=3(7)+3(x) : Distributive Property
Step-by-step explanation:
#1
\(\\ \sf\longmapsto 7+(13+3)=(7+13)+4\)
It satisfies a+(b+c)=(a+b)+c
Associate property#2
\(\\ \sf\longmapsto 8(x+3)=8x+8(3)\)
It satisfies a(b+c)=ab+ac
Distributive property.#3
\(\\ \sf\longmapsto 5(7)(3)=7(5)(3)\)
It satisfies abc=cba
Commutative property#4
\(\\ \sf\longmapsto 3(7+x)=3(7)+3x\)
Distributive propertyDone
What is the gradient of the graph shown ? Give your answer in its simplest form
Answer:
-2
Step-by-step explanation:
choose any point on the graph
Answer:
Step-by-step explanation:
Yo you man its 3
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find
dy/dx at =22/7*4
By the chain rule,
\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}\)
It looks like we're given
\(\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}\)
where a and b are presumably constant.
Recall that
\(\cos^2t=\dfrac{1+\cos(2t)}2\)
\(\sin^2t=\dfrac{1-\cos(2t)}2\)
so that
\(\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}\)
Then we have
\(\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t\)
\(\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t\)
\(\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}\)
\(\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}\)
where the last reduction follows from dividing through everything by \(\cos(2t)\cos^2t\) and simplifying.
I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.