Answer:
11 and 4 are the numbers you add to gether and they have a difference of 7
Step-by-step explanation:
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The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
identify the constant term in this expression 28m + 4n - 12m +3 =
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
PLEASE HELP, DUE TOMORROW
f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
Use the equation to complete the activity.
219 86RN → 215 84Po + a
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.
Nuclear reaction involves the disintegration of an element and emission of radioactive particles during the process. This process can be natural, or artificially induced. Thus, the equation for the reaction is balanced.
Nuclear reaction is the process in which a given element emits radioactive particles or radiation. The two classes are: natural transmutation and artificial transmutation.
Natural transmutation occurs on its own due to the half life of the element. While artificial transmutation involves inducing or bombarding an element with another element or particle.
In the given question, the radon element undergoes transmutation into polonium and an alpha particle. The equation is given as;
[tex]^{219} _{86} RN[/tex] ⇒ [tex]^{215} _{84} Po[/tex] + [tex]^{4} _{2} a[/tex]
Therefore, the equation is balanced since an alpha particle was emitted.
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The nuclear reaction entails the breakdown of an element and the subsequent release of radioactive particles. This process can occur naturally or be produced purposefully. As a result, the reaction equation is balanced. The radon element is transmuted into polonium and an alpha particle in the provided question. Since an alpha particle was emitted, the equation is balanced.
The points (−4, −3) and (3, y) lie on the same line.
If the slope of the line is 2, what is the value of y?
PLEASE I HELP!!!!!!
Answer:
y= 11
Step-by-step explanation:
[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Substituting the coordinates and value of slope:
[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]
[tex] \frac{y + 3}{3 + 4} = 2[/tex]
[tex] \frac{y + 3}{7} = 2[/tex]
Multiply both sides by 7:
y +3= 2(7)
y +3= 14
Subtract 3 from both sides:
y= 14 -3
y= 11
8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.
to be honest i dont remember srry
Answer:
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
The graph of f(x) and g(x) are shown below
If f(x) = (x + 7)?, which of the following is g(x), based on the translation?
O g(x) = (x + 9)2
O g(x) = (x + 5)2
O g(x) = (x + 7)2 + 2
O g(x) = (x + 7)2 - 2
Answer:
c
Step-by-step explanation:
The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .
Answer:
8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.
If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
Answer:
1489
Step-by-step explanation:
Find the least common denominator between the two fractions 2/3 and 3/5
Answer:
15 is the least common denominator between the two fractions
Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?
a)Deductive Reasoning
b)Inductive Reasoning
Answer:
a)Deductive
Step-by-step explanation:
When you apply rules (in this case theorems) it is a deductive reasoning
(a) 35.8 + 10 need answer
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.
Find the greatest common factor of 27 and 46
The greatest common factor of 27 and 46 is 1
answer it pls
pls
pls
Answer:
The probability that a letter at random is from V is 5/26 or 19.23%
Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
Step-by-step explanation:
Find the perimeter. Simplify the answer
Answer:
Perimeter = 16c + 24
Step-by-step explanation:
Perimeter = 4c + 7 + 4c + 7 + 8c + 10
Perimeter = 16c + 14 + 10
Perimeter = 16c + 24
-Chetan K
16c + 24
Step-by-step explanation:
To Find the perimeter we add
all the sides,
= > 4c + 7 + 4c + 7 + 8c + 10
= > 16c + 24...ans
Hope it Helps you!!determine the degree of the polynomial.
8a^3+7a+6
Answer:
The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.
:)
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
find the length of segment AB
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
what is the point slope equation of the line that passes through (9,-1) and has a slope of 5
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
y + 1 = 5(x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 5 and (a, b ) = (9, - 1 ) , then
y - (- 1) = 5(x - 9) , that is
y + 1 = 5(x - 9)
1. find each measure
Answer:
x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28
Step-by-step explanation:
28 is the answerr
simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.