We are given the expression:
[tex]5x+2y^{2}-y^{3}[/tex]
Now we have to determine the value of this expression at x=2 and y=4.
So let us plug the values of x and y in the expression:
[tex]5(2)+2(4)^{2}-(4)^{3}[/tex]
[tex]=10+32-64[/tex]
=-22
So on plugging x=2 and y=4 in the given expression we get the value as -22
Answer : [tex]5x+2y^{2}-y^{3}[/tex]=-22
Let g(x) = 2x2 - 11x. Find g(-1).
A) -13 Eliminate
B) -9
C) 0
D) 13
Solution
g(x) = 2[tex]x^{2}[/tex] - 11x
Plugging in x = -1 in g(x), we get
g(-1) = 2[tex](-1)^{2}[/tex] - 11(-1)
Now we have to simplify it.
g(-1) = 2*1 + 11
g(-1) = 2 + 11
g(-1) = 13
So the answer is D) 13.
Thank you. :)
Three fifths of the members of hiking club went on the last hiking trip . If 39 people went on the trip how many are in the club
If 39 is 3/5 of all the people then you can divide it by 3 (=13) and multiply is by 5 (= 65)
Answer: There are 65 people in the club.
Answer: There are 65 people in the club.
Solve the equation. −5 = c/7
Hello!
-5=c/7
Switch the sides!
Multiply both sides by 7.
7c/7=7(-5)
c=-35
Hopefully this makes sense! :-)
You are
5
5
feet tall and cast an
8
8
-foot shadow. A lamppost nearby casts a shadow that is
20
20
feet. Which equation can you use to solve for the height
(h)
h
of the lamppost?
The answer would be 12.5 ft
This is because you know that if you cast a shadow of 8 feet and you are 5 feet then a lamp post that is 12.5 feet will have a 20 foot shadow.
To solve for the height of the lamppost, we can use the equation h = (5/8) * 20, derived from the ratio of height to shadow length across similar triangles.
To determine the height of the lamppost using the shadow lengths, we apply the concept of similar triangles. Since the student's height and shadow form a right-angled triangle, and the lamppost and its shadow do as well, the two triangles are similar by the angle-angle similarity postulate. Thus, the ratio of the height to the shadow length is constant for similar triangles created by an object and its shadow under the same lighting conditions.
The relationship for the student can be expressed as student's height / student's shadow length, which is equal to 5 feet / 8 feet. For the lamppost, the relationship can be described as height of lamppost (h) / lamppost's shadow length, which is h / 20 feet. Therefore, the proportion can be set up as:
5/8 = h/20
Multiplying both sides of the proportion by 20 gives us the equation to solve for h, the height of the lamppost:
h = (5/8) * 20
Evaluate the function h(t)=11-3t for t=5-n
3n - 4
substitute t = 5 - n into f(t)
f(5 - n) = 11- 3(5 - n) = 11- 15 + 3n = 3n - 4
[tex]h(t)=11-3(5-n)[/tex] Substitute [tex]5-n[/tex] to [tex]t[/tex] in this equation
[tex]h(t)=11-15+3n[/tex] Use Distributive property
[tex]h(t)=3n-4[/tex] Combine Like Terms
*(Answer)*= [tex]h(t)=3n-4[/tex]
perpendicular lines are always, sometimes , never coplanar
They are always on a coplanar
Answer:
Perpendicular lines are always coplanar.
Step-by-step explanation:
Coplanar lines are lines drawn on the same plane. So whenever you have
perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.
Show your work. Solve for x.
-3(x+2)+5x=-9
-3(x+2)+5x=-9
-3(x)-3(2)+5x=9
-3x-6+5x=9
2x-6=9
2x=9+6
2x= 15
2x/2=15/2
X= 7.5
[tex]-3(x+2)+5x=-9[/tex]
Distribute the -3
[tex]-3x-6+5x=-9[/tex]
Combine like terms
[tex]2x-6=-9[/tex]
Add 6 on both sides
[tex]2x=-3[/tex]
Divide by 2 on both sides
[tex]x=-1.5[/tex]
x is equal to -1.5
Solve for x: 4x = 420
Hey there!!
Given :
... 4x = 420
If we divide 4 on both sides, we will get the value of ' x '.
... x = 420 / 4
... x = 105
Hope my answer helps!!
Hello!
Solve for x.
[tex]4x = 420[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to divide by 4 from both sides of the equation.
[tex]\frac{4x}{4}=\frac{420}{4}[/tex]
Simplify it should be the correct answer.
[tex]x=105[/tex]
Answer⇒⇒⇒⇒x=105
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Algebra 1, word problem.
If a medium pizza costs $5 and a large pizza is $8, write an equation in standard form that models the possible combinations if you have $45. (Let m= medium and l= large.)
please explain in detail
m = number of medium pizzas; each medium pizza costs $5
5m = cost of m number of medium pizzas
L = number of large pizzas; each large pizza costs $8
8L = cost of L number of large pizzas
The total cost is the sum of the cost of the medium pizzas and the cost of the large pizzas, so the total cost is 5m + 5L.
You have $45, so the total cost of the pizzas must equal $45.
The equation is
5m + 8L = 45
Find x and y with the given angle of 65 degrees
Error analysis-dividing fractions
Wha kinds of things have a price with a leftmost digit in the hundreds place ? The thousands place ? The ten thousands place
This exercise is about Place Value. The kind of things that have prices with a leftmost digit in hundreds place are:
High End Head Phones ($200 - $900)High End Digital Wristwa.tches ($265 - $500)Cost of flights from USA to Europe ($129- $780)The kind of things that have prices with a leftmost digit in thousands place are:
Monthly Rent in the US ($1,000 - $2500)LaptopsThe kind of things that have prices with a leftmost digit in ten thousands place are:
Mid Range Cars ($20,000 - $35,000)What is Place Value?Place Value is the value of a digit as given by its position in the number such as ones, tens, hundreds, etc.
For example, the place value of 6 in 3468 is 6 tens, or 60. See the attached image explaining place value of numbers.
Learn more about Place Value at;
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THERE WERE SOME PEOPLE ON A TRAIN.
19 PEOPLE GOT OFF THE TRAIN AT THE FIRST STOP.
17 PEOPLE GET ON THE TRAIN.
NOW THERE ARE 63 PEOPLE ON THE TRAIN.
HOW MANY PEOPLE WERE ON THE TRAIN TO BEGIN WITH?
There are 61 people to begin with.
hope it helps.
Guilia runs an average of 15 minutes each day.She has a goal of running 10 to the power of two minutes in 7 days. Will she complete her running goal in 7 days?
Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes
What is m∠KNL? Enter your answer in the box. ° A horizontal line segment M K intersects with line segment J L at their midpoint N. The upward-left and downward-right angles formed by these lines are obtuse. The upward-left obtuse angle is labeled left parenthesis 5 x plus 2 right parenthesis degrees. The downward-right acute angle is labeled left square bracket 3 left parenthesis x plus 14 right parenthesis right square bracket degrees.
Final answer:
To find the measure of angle KNL, we need to add the given upward-left obtuse angle and the downward-right acute angle. Simplify the expression to find the measure of angle KNL.
Explanation:
The question is asking for the measure of angle KNL. We are given that lines MK and JL intersect at their midpoint N. We are also given that the upward-left obtuse angle is labeled as (5x+2) degrees and the downward-right acute angle is labeled as [3(x+14)] degrees.
To find the measure of angle KNL, we need to add the two given angles together since angle KNL is formed by the intersection of these two lines. So, we have:
m angle KNL = (5x+2) + [3(x+14)]
Simplifying the expression, we get:
m angle KNL = 5x + 2 + 3x + 42
m angle KNL = 8x + 44
Therefore, the measure of angle KNL is 8x + 44 degrees.
Final answer:
The measure of angle m∠KNL is 136°.
Explanation:
The question asks for the measure of the angle m∠KNL. It provides some information about the angles formed by the line segments MK and JL. The upward-left obtuse angle is labeled as (5x+2)° and the downward-right acute angle is labeled as [3(x+14)]°. To find m∠KNL, we need to solve for x and substitute it into one of the angle expressions.
We know that the sum of the measures of the angles in a triangle is 180°. Since m∠KNL is opposite the obtuse angle (5x+2)°, we can write the equation as: (5x+2)° + [3(x+14)]° + m∠KNL = 180°.
Simplifying the equation by expanding the brackets and combining like terms, we get: 5x + 2 + 3x + 42 + m∠KNL = 180. Combining like terms further, the equation becomes: 8x + m∠KNL + 44 = 180. To isolate m∠KNL, we subtract 44 from both sides, resulting in: 8x + m∠KNL = 136. Therefore, the measure of angle m∠KNL is 136°.
can someone help with 29, 30, 31, and 32 please!
Last year a man earned 19,200. This year his salary increased to 20,736. What was the percent of his increase ?
Please show all steps
Last year a man earned 19,200. This year his salary increased to 20,736. What was the percent of his increase ?
Solution
Here we have to use the formula.
Percentage of increase =[tex]\frac{Increase}{Original number} *100[/tex]
Increase in earning = 20, 736 - 19,200 = $1536
Original number = 19,200
Now plugin these values into the formula, we get
Percentage of increase = [tex]\frac{1536}{19200} *100 = \frac{153600}{19200} = 8[/tex]%
The answer is 8%
Hope you will understand the steps.
Thank you. :)
how is division like subtraction
both of those mark the answer or number smaller
Division is basically repeated subtraction.
For example, if you ask "what is 6 divided 2?", you're asking "how many times do I need to subtract 2 from 6 until I get to 0?"
Let's see it in action
6/2
6 - 2 - 2 - 2 = 0
As you can see, you subtract 2 from 6 three times, so 6 divided by 2 is 3.
BRAINLYIST FOR BRAINLYIST
2a - 4b + 6b - 3a =
Please in need to level up
3a + 5b - 6a + 3b =
Simplify. Combine like terms:
In the first question, combine terms with the same variables:
2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b
-a + 2b is your answer
In the second question, do the same:
3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b
-3a + 8b is your answer
hope this helps
first
-a + 2b is your answer
In the second one you do it the same wayy
3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b
-3a + 8b is your answer
an there is your twoo answers
Jennifer has 84.5 of fabric to make curtains. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many feet of fabric does Jennifer use per curtain.
Answer: 10.8 yards
Step-by-step explanation:
Given: Total fabric Jennifer has = 84.5 yards
Total identical curtains she made = 6
Remaining fabric = 19.7 yards
Thus, fabric used fro 6 curtains = [tex]84.5-19.7=64.8\ yards[/tex]
Now, fabric she use for each curtain = [tex]\frac{64.8}{6}[/tex] yards
Thus, fabric she use for each curtain= 10.8 yards
Hence, Jennifer use 10.8 yards fabric per curtain.
Answer:
10.8 yards
Step-by-step explanation:
84.5 - 19.7 = 64.8
64.8 / 6 = 10.8 yards
Jennifer can use 10.8 yards per curtain.
13 + 3p + 10 = 23+ 3p . This is so confusing .. I need help solving this equation :/
the answer is 0=0 because there is infinite solutions
13 + 3p + 10 = 23+ 3p
23+ 3p= 23+3p
23-23= -3p+3p
0=0
please answer quickly thanks :)
good morning btw.
-4 is to the right of -7 . -4 is located to the left of -1.
Select the most appropriate unit for the measure of time that the graph represents.
A.
hours
B.
days
C.
weeks
D.
years
i think its A. hours
Answer:
Select the most appropriate unit for the measure of time that the graph represents.
A. hours
B. days
C. weeks
D. years
Step-by-step explanation:
Since it is not a straight line, but a curved one, because it does not have a uniform rectilinear movement, the most appropriate unit of time would be for hours.
The answer is: A. hours.
three consecutive integers have a sum of 72. find the integers
Set the first number as x.
Note that three consecutive integers are 3 numbers that are 1 greater than the previous.
(x) + (x + 1) + (x + 2) = 72
Simplify. Combine like terms
3x + 3 = 72
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 3 from both sides
3x + 3 (-3) = 72 (-3)
3x = 69
Next, divide 3 from both sides
3x/3 = 69/3
x = 23
------------------------------------------------------------------------------------------------------------------------
23 is your first answer
Plug in 23 for each x.
------------------------------------------------------------------------------------------------------------------------
(x) + (x + 1) + (x + 2) = 72
(x) = 23
(x + 1) = 23 + 1 = 24
(x + 2) = 23 + 2 = 25
23, 24, 25 are your answers
------------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary
Three consecutive integers have a sum of 72.
So They will: x, x+1, x+2
x + (x +1) + (x+ 2) = 72
= 3x + 3 = 72
= 3x = 72 - 3
= 3x = 69
= x = 33
By putting value of x in: x, x+1, x+2
Hence the integers will be: 33, 34,35
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 40% antifreeze
Let the necessary amount of water be x. Then (1.00)(1 gallon antifreeze) = 0.40(x+1 gallon), or 1 = .40x + .40. Combining like terms: 0.60 = 0.40x.
Then x = 0.60 / 0.40 = 1.5.
Adding 1.5 gallons of water to that 1 gallon of pure antifreeze results in 2.5 gallons of 40% antifreeze.
To create a solution that is 40% antifreeze, you would add .6 gallons of water to 1 gallon of pure antifreeze, using a ratio to determine this.
Explanation:To find out how much water should be added to a gallon of pure antifreeze to create a solution that is 40% antifreeze, you would use a ratio. We find that 40% of a gallon of antifreeze is .4 gallons, as 1 gallon is equivalent to 100%. If this .4 gallons represents 40% of our final solution, that means the remaining 60% must be water.
Next, we set up a ratio. If .4 gallons is 40%, then x gallons is 60%. This gives us .4/40 = x/60. Simplifying that equation, we find that x equals .6 gallons.
In conclusion, to get a solution that is 40% antifreeze and 60% water, you need to add .6 gallons of water to 1 gallon of antifreeze.
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Hey Cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feethow much gas can the pressure vessel hold when full?
Hey there!!
Shape given - Cylinder
In order to find the amount of gas the vessel can hold, we will have to find the volume of the cylindrical vessel.
How do we find the volume of a cylindrical vessel?
The formula : πr²h
Where ' r ' is the radius and ' h ' is the height.
The height is given by 9 feet.
The diameter is given by 6 feet. This is the tricky part, we will have to use the radius not the diameter.
The diameter = Radius + Radius
6 = radius + radius
6 = 2 × radius
Dividing 2 on both sides
6 ÷ 2 = radius
Hence, the radius is 3 feet.
We have :
Height = 9 feet
Radius = 3 feet
Volume : π ( 3 )² ( 9 )
... π × 9 × 9
... π × 81
... 3.14 × 81
... 254.34 feet³
Hence, the amount could be held in the cylindrical is 254.34
Hope my answer helps!!
Answer:
81 pi or 254.469004941
If you want 20 points, please help me with this . I really need help.
For #10
x=2 w(x)= 5
x=0 w(x)=-9
x=1 w(x)=-1
x=4 w(x)=7
To get these answers, you must use the p(x) table. When x=2, p(x)=6. So you would substitute p(x) for 6 and solve. That would be what you would do for the rest of teh problems.
For #12, the answer would be 5x^2+15x+5
Just mutiply the areas of the out side and inside and subtract them
What greatest common factor (GCF) of 84 and 96
gcf(84,96) = 12
I hope this helps :))
GCF is 12
Example Simplified Fraction: 84/96 => 7/8
The correct answer is 12
Hope This Helps!!!
Find the value of k so that (-1,5) lies on kx - 4y -k=0
The answer is -10
ExplanationAs the given equation is
[tex]kx - 4y - k = 0[/tex]
Putting the value of x as -1 and y as 5
[tex]k (-1) - 4 (5) - k = 0[/tex]
[tex]-k -20 - k = 0[/tex]
[tex]-2k -20 = 0[/tex]
[tex]K = -10[/tex]
So the value of k is 10
PLEASE HELP! Thank you so much!
Question: The area of triangle MNP is how many times the area of triangle JKL?
Answer: The answer you want would be 9... The area of triangle MNP is 9 times larger than the area of triangle JKL.
Explanation: It would be 9 times larger because it says the base and height which means multiply the base and the height so it would be 3*3=9
Hope It Helps!!
The area of triangle MNP is 9 times the area of triangle JKL.
Explanation:The area of a triangle is equal to half the product of its base and height. Let's say the base and height of triangle JKL are represented by b and h respectively. According to the question, the base and height of triangle MNP are 3 times as long as triangle JKL, so the base and height of triangle MNP would be 3b and 3h respectively.
Now, let's calculate the area of triangle MNP:
Area of MNP = 1/2 * (3b) * (3h) = 9/2 * b * h
Similarly, the area of triangle JKL would be:
Area of JKL = 1/2 * b * h
To find the ratio of the areas, divide the area of MNP by the area of JKL:
Area of MNP / Area of JKL = (9/2 * b * h) / (1/2 * b * h) = (9/2) / (1/2) = 9
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the complete question is given below:
The base and height of triangle MNP are 3 times as long as the base and height of triangle JKL. The area of triangle MNP is how many times the area of triangle JKL?