Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
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What is the base 8 representation of the number 600?
Answer:
1130
Step-by-step explanation:
8x75=600
8÷9=72+3
8×1=8+1=9
8×1+1=9
Answer:1130^8
Step-by-step explanation:trust me bro
If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter
Answer:
Perimeter = 36 cm
Step-by-step explanation:
Ratio of sides = 5:4:3
Sides are:
a = 5x ; b= 4x ; c = 3x
Semi perimeter S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2 = 6x
S - a = 6x - 5x = x
S - b = 6x - 4x = 2x
S - c = 6x - 3x = 3x
[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]
sides of triangle:
a = 5x = 5*3 = 15 cm
b = 4x = 4*3 = 12 cm
c = 3x = 3*3 = 9 cm
Perimeter = 15 + 12 + 9 = 36 cm
what is 2x+3=x+15 100 points i don't want points
anewr
you could caluta
Step-by-step explanation:
Answer:
X = 12
Step-by-step explanation:
2x + 3 = x + 15
2x + 3 = x = -3
-3 + 15 = 12
So X = 12
Hope I helped!
Have a good day. =)
A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?
Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.
Which number is composite ??? A.11 B.5 C.9 D.2
Answer:
the correct answer is 9
What characteristics are true for all linear, exponential and quadratic functions
A
The range of the function is all real numbers,
B
The graph of the function has no intercepts
c) The graph of the function is always increasing
D) The domain of the function is all real numbers
E) The graph of the function has multiple wintercepts
Answer:
D) The domain of the function is all real numbers
Step-by-step explanation:
asdasdasdasdasd
6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
Which statements are true regarding elements of the given sets? Check all that apply. Paris ∈ F. The Statue of Liberty ∈ A. The Statue of Liberty ∉ M. Abraham Lincoln belongs to none of these sets. The Eiffel Tower is in more than one of these sets.
Answer:
Paris F, Abraham Lincoln belongs to none of these sets, and The Eiffel Tower is in more than one of these sets
Step-by-step explanation:
Answer:
A,D,E
Step-by-step explanation:
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
please help will give brainliest
Answer:
PLEASE GIVE BRAINLIEST IT IS 118
Step-by-step explanation:
(18x+28)+(7x+27) equals 180 degrees
25x+55= 180
25x=125
x=5
THIS MEANS THAT ANGLE ABC IS
18(5)+28.
90+28.
118 degrees. And since angle abc is equal to efg that is your answer.
Answer:
efg=abc
Step-by-step explanation:
18x+29+7x+27=180
25x+56=180
25x=124
x=124/25
18(124/25)+29= 118.28 or rounded 118
I want brainliest!!!
Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
X+2y>10
1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)
Answer:
very easy just compensate using the first number for x and the other for y
let's try 5 for x and 3 for y
5+2*3=11>10 so it's the answer
4.(5,3)
Simplify the expression:
6 + 2(7x + 3),
Answer:
14x+12
Step-by-step explanation:
6 + 2(7x + 3)
= 6+14x+6
= 14x+12
Emily is getting ready for her first year at college and needs to buy some supplies. She has $500. Emily heads to the mall with plans to purchase the things she knows she will need for the upcoming year away from home. She has a shopping list with all of the items budgeted. As she passes through a department store, she notices a pair of jeans and instantly falls in love with them. She tries them on and says to herself, "I need these jeans!" She looks at the price tag and finds that they cost $140.
What questions should Emily ask herself before deciding to buy the jeans? Check all that apply.
Can I afford them?
Should I borrow $140 to buy them?
Can I wait for school supplies?
Is there a good alternative?
Do I need them?
The questions that Emily should ask herself before deciding to buy are:
Can I afford them?Is there a good alternative?Do I need them?What do you imply by buying?The term buying is a term that connote the act of a person in acquiring a possession or ownership of a goods or services.
Note that in buying of anything, it is good to ask yourself the right questions if one really need that thing or not. If Emily can ask the questions above and also answer them, she will be able to make the right decision.
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Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example [tex]\sqrt[3]{x^3}[/tex] = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
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Answer:
option B
Step-by-step explanation:
edge 2023
A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?
Answer:
[tex]6,157.5ft^3[/tex]
Step-by-step explanation:
We are looking for the volume of the tank which has a cylindrical shape.
The volume of a cylinder is given by:
[tex]V=\pi r^2 h[/tex]
where r is the radius of the circular base and h is the height.
In this case we have:
diameter: [tex]d=14 ft[/tex]
and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]
also the height is: [tex]h=40ft[/tex]
we substitute these values into the equation to find the volume:
[tex]V=(3.1516)(7ft)^2(40ft)[/tex]
solving the expression:
[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]
the tank can fit [tex]6,157.5ft^3[/tex] of gas
Amount of gas filled in tank is 6,154.4 feet³
Volume of cylinders:Given that;
Diameter of cylindrical tank = 14 feet
Length of cylindrical tank = 40 feet
Find:
Amount of gas filled in tank
Computation:
Diameter of cylindrical tank = 14 feet
Radius of cylindrical tank = 14 / 2 = 7 feet
Amount of gas filled in tank = Volume of tank
Amount of gas filled in tank = πr²h
Amount of gas filled in tank = (3.14)(7)²(40)
Amount of gas filled in tank = (3.14)(49)(40)
Amount of gas filled in tank = 6,154.4 feet³
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Please and thank you
3x^2 - 4x + 9x - x^2
Answer:
2x^2 +5x
Step-by-step explanation:
3x^2 - 4x + 9x - x^2
Combine like terms
3x^2 -x^2 -4x+9x
2x^2 +5x
Answer:
Just combine like terms:
2x^2+5x
I’L MARK BRAINLIEST IF ANSWER IS RIGHT
Answer:
it is 752 hope this helped
how do i multiply 36 by 1.5
Answer:
36x1.5=54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
First you multiply the 36 by 1, which is 36.
Second you multiply 36 by 1/2 or 0.5. In other terms, that means what is half of 36? 18.
Last, add the two, 18 + 36 = 54
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What is the volume of the storage compartment?
X^2 + 7x + 12 = 0. i need help finding the answer step by step
x² + 7x + 12 = 0
To factor we need two numbers which add to 7 and multiply to 12. In other words, guess the answer. Here it's easy, 3 and 4.
(x + 3)(x + 4) = 0
When a product is zero, one of the factors must be zero.
x + 3 = 0 or x + 4 = 0
x = -3 or x = -4
Answer: x = -3 or x = -4
Answer:x=-2
Step-by-step explanation:
Select all polynomials that are divisible by (x+3)
Answer:
x³+4x²-9
Step-by-step explanation:
a circle with circumstance 12 has an arc with 48 central angle. what is the length of the arc?
A full circle is 360 degrees.
The arc length would be 48/360 of the full circumference.
12 x 48/360 = 576/360 = 1.6
What is the product of (-a + 3)(a + 4)?
Answer:
-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
-a^2-4a+3a+12
-a^2-a+12
find the variable: n/14=3
Answer:
n=42
Step-by-step explanation:
The National Center for Education Statistics surveyed 4400 college graduates about the lengths of time required to earn their bachelor's degrees. The mean was 5.15 years and the standard deviation was 1.68 years. Based on the above information, find the margin of error for a 98% confidence level. Round your answer to the nearest hundredth.
Answer:
The margin of error for a 98% confidence level is of 0.06 years.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.01 = 0.99[/tex], so [tex]z = 2.327[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]\sigma = 1.68, n = 4400[/tex]
So
[tex]M = 2.327*\frac{1.68}{\sqrt{4400}}[/tex]
[tex]M = 0.06[/tex]
The margin of error for a 98% confidence level is of 0.06 years.
