The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³
³ is the highest degree in the given expression.
_____
Hope it helps ⚜
The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
Plz answer number 9 people keep wasting my time and points
Answer:
Dude just search it up
Step-by-step explanation:
you have small brain
(8.1 + 7.4) – 25 ÷ 2.5
[tex](8.1 + 7.4) - 25 \div 2.5 \\ = 15.5 - 25 \div 2.5 \\ = 15.5 - 10 \\ = 5.5[/tex]
Answer:5.5
Hope it helps.
Do comment if you have any query.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(8.1 + 7.4) - 25 \div 2.5}}\\\large\boxed{= \mathsf{\bold{15.5} - 25\div2.5}}\\\large\boxed{\mathsf{= 15.5 - \bf 10}}\\\large\boxed{\mathsf{= \bf 5.5}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{5.5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pls help me with this, tyyy!
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped
Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?
Answer:
They would be equally caramelly, the ratio of oats:caramel is equal
Step-by-step explanation:
please help for brainlist you need to be accurate tho
Answer:
3.5t +5
Step-by-step explanation:
We are looking for the total distance
5 miles is the first distance traveled.
Then after the break they travel at a rate of 3.5 miles per hour for t hours
That distance is 3.5t
The total distance traveled is
5+3.5t
Rewriting the order
3.5t +5
A store manager predicts that 120 hats will be sold if each hat costs $16. The manager predicts that 4 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 80 hats will be sold?
Answer:
The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 50
Step-by-step explanation:
The manager can predict $26 that at least 80 hats will be sold.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one hat = $16.
And number of hats sold by manager = 120.
Also, given that,
if $1 increases 4 fewer hats will be sold.
To find the price when 80 hats will be sold.
40 fewer hats should be sold.
4 fewer hats increases $1.
40 fewer hats will increase $1 x 10 = $10.
So the price of new price of hat = 16 + 10 = $26,
At $26 per hat the manager can sell at least 80 hats.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
$756
Step-by-step explanation:
To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so
63%=.63
.63 x 1200
help question in picture
Answer:
E, -1/5
Step-by-step explanation:
The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.
Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.
By substituting
m = (4 - 1) / (-20 - [-5])
m = 3 / (-20 + 5)
m = 3 / -15
m = -1 / 5
[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]
6p-9ps+4q-6qs
need help w this
Step-by-step explanation:
[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]
Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
what is (997X5) + (6X-979) divided by 2 =?????
Answer: 2048 I just used a calculator
Step-by-step explanation:
Answer:
2048.
Step-by-step explanation:
(997X5) + (6X-979) / 2
= 4985 + -5874/ 2
The multiply is done before the add ( Order of operations):
= 4985 + -2937
= 2048
The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.
What is the total number of animals at the animal shelter?
Answer:
77
Step-by-step explanation:
cats:dogs
2:5
2x11=22
5x11=55
55+22=77
Answer:
77 animals
Step-by-step explanation:
Ratio = 2:5
2 = 22
5 = 5/2 ×22
= 55
=>There are 55 dogs in the animal shelter
Therefore the total number of animals = 55 +22
= 77
=> There are 77 animals at the animal shelter
If you the numbers 2 and 2, what will the final sum be
if g(x)=x^2+2x, find g(-6)
Answer:
-6/2+2×(-6)
-3+(-12)
-3-12
-15
What is the slope for this table?
Can someone please help me with this?
4a - 5b = 7
substract 4a from both sides
4a - 5b - 4a = 7 - 4a
positive 4a with negative 4a
5b = 7 - 4a
devide both sides by 5
[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]
[tex]b = \frac{7 - 4a}{5} [/tex]
Find the perimeter. Simplify your answer.
Answer:
8v + 4Step-by-step explanation:
Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4
= 8v + 4...ans
Hope it Helps you!!Find the lateral surface area and total surface area of each figure. Only 12 and 13
For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x
[tex]-4[/tex] is a part of the solution set to all of the inequalities
We will consider each inequality in turn:
For [tex]x>-5[/tex]:
The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]
For [tex]2>x[/tex], or [tex]x<2[/tex]:
The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]
For [tex]3x+4\ge -8[/tex]:
We have to solve first
[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]
The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]
For [tex]5x\le 2x-3[/tex]:
We have to solve first
[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]
The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]
For [tex]-6<4-2x[/tex]:
We have to solve first
[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]
The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]
So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]
So, [tex]-4[/tex] is a part of the solution set of all the inequalities.
Learn more about inequalities here: https://brainly.com/question/278997
100 if u get this right!
Answer:
●y = mx + c
c = intercept
y = 9x + 2
intercept c =2
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
https://brainly.com/question/22571892?referrer
p pennies added to 22 pennies
Eric cut 8.56 meters of rope. Before cutting it, he had 14 meters of rope. How much rope does Eric have left?
Answer:
5.44 METERS OF ROPE
Step-by-step explanation:
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answer:
$557.5
Step-by-step explanation:
783/2
391.5 + 83 (more) =
557.5
How do we determine the area of an a rectangle?
Answer:
accept length
accept breadth
Area=length *breadth
we multiply the length of a rectangle by the width of the rectangle.
please help asap…………
Answer:
not linear
Step-by-step explanation:
a linear function contains x and y only with the exponent 1.
this allows the function to be a line (hence the term "linear"), a constant ratio of y changes to x changes for any values of x which defines linear relation between x and y.
but this equation contains a term with x², which changes the size of change of y for every value of x.
e.g. when x changes by 1 from 1 to 2, y changes by 3 from 1² to 2² (1 to 4). but if x changes again by 1 from 2 to 3, y changes by 5 from 2² to 3² (4 to 9).
this is clearly not constant.
Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?
Answer
The normal cost would be $11.50
Number Explanation
1) 76 ÷ 8 = 9.5
2) 9.5 + 2 = 11.5 or 11.50
Word Explanation
First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.
[ASAP] Which graph represents a direct variation?
