Answer:
Step-by-step explanation:
P(x)= x^2-5x+c=0
P (-2)= (-2)^2-5 (-2)+c=0
= 4+10+c=0
=14+c=0
C=(-14)
Answer:
[tex]\fbox{\begin{minipage}{4em}c = -14\end{minipage}}[/tex]
Step-by-step explanation:
Given:
A quadratic equation: [tex]x^{2} - 5x + c = 0[/tex], with [tex]x =-2[/tex] is a solution.
Solve for:
Value of c
Step 1: define the problem
If [tex]x = -2[/tex] is a solution of equation [tex]f(x) = 0[/tex], then [tex]f(-2) = 0[/tex]
Step 2: Perform the calculation
Substitute [tex]x = -2[/tex] into original quadratic equation, we have:
[tex](-2)^{2} - 5(-2) + c = 0[/tex]
Perform the square and multiplication:
[tex]4 + 10 + c = 0[/tex]
Transfer all of numbers to the right side, except c:
(notice for the change in sign of numbers)
[tex]c = (-4) + (-10)[/tex]
Perform the sum on the right side to get c:
[tex]c = -14[/tex]
Hope this helps!
:)
One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.
Answer:
The paper tray is not deep enough.
Step-by-step explanation:
500 * 9 * 10^-3
= 500 * 0.009
= 4.5 cm which is greater than the depth of the paper tray (4 cm).
The paper tray is not enough for sheets of paper.
The thickness of 500 sheets of paper is 45 cm.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
One sheet of paper is [tex]9[/tex] × [tex]10^{-3}[/tex] to the power of -3 to cm thick.
Mark wants to put 500 sheets of paper into the paper tray of his printer.
The thickness of 500 sheets of paper is
[tex]9[/tex] × [tex]10^{-3}[/tex] × 500 = 45 cm
But the paper tray is 4cm deep
45 cm > 4 cm
So the paper tray is not enough for sheets of paper.
Find out more information about multiplication here
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Share 35 sweets in the ratio 4:3
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
The explicit formula for a particular arithmetic
sequence is an = 8 + (n - 1)3, with n > 1
What are the first three terms?
ai -
11
az
a3 =
Answer:
8, 11, 14
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 8 + (n - 1)3 , then
a₁ = 8 and d = 3 , thus
a₂ = 8 + 3 = 11
a₃ = 11 + 3 = 14
The first 3 terms are 8, 11, 14
Answer:
8
11
14
THAT IS THE ANSWER TO THE QUESTION
I really need help please :(
Answer:
0≤y≤5
Step-by-step explanation:
The range is the values of the output, or in this case the y values
The y values go from 0 to 5
0≤y≤5
The answer is C.
You can see visually that the function's domain lies within range from -5 to 5 on the x axis.
A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
Please help me! The answer choices are included in the picture.
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Answer:
The answer is 1/3x^2 or in your case C.
Step-by-step explanation:
Well I just add the points on Desmos graphing. The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.
The floor of the cage measures 11 yardyard wide by 66 feetfeet long. One bag of shavings covers 55 square feetfeet. How many bags will HarperHarper have to buy to cover the floor of the cage? Explain.
Answer:
3 3/5 bags
Step-by-step explanation:
We have to find the surface area of the floor of the cage first.
The cage measures 1 yard wide by 6 feet long.
1 yard = 3 feet
The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:
3 * 6 = 18 square feet
One bag of shavings covers 5 square feet.
To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.
The number of bags needed for the floor of the cage is therefore :
18 / 5 = 3 3/5 bags
Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\sqrt{\frac{4x^2}{3y} }[/tex]
= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x}{\sqrt{3y} }[/tex]
Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]
Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
Which of the following is the factored form of the quadratic *
4x^2+7x-15=0
1.(4x + 5)(x + 3)
2.(4x -5)(x + 3)
3.(4x - 5)(x - 3)
Answer:
2.
Step-by-step explanation:
(4x-5)(x+3)
=4x^2+12x-5x-15
=4x^2+7x-15
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal
Answer:
D and A are equalStep-by-step explanation:
Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices
[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]
From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.
Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns
The value x is
Please help I’m stuck
Step-by-step explanation:
EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA
VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON
RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA
HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES
5x° = 55°
DESPEJA x
x = 55°/5° = 11
difference in the abscissa of points A (4,3) and B (-7,2)
Answer:
The difference is 11 units
Step-by-step explanation:
When we talk of the abscissa, we are referring to the x-axis.
So what this question is asking us is the difference between the values of the x-axis
At point A, the value is 4 while at point B, the value here is -7
So the difference between this two would be 4-(-7) = 4 + 7 = 11 units
-7 written as a fraction is _____
which expression is equivalent
HELP ME PLEASE
Answer:
the 4th option is correct
Step-by-step explanation:
[tex]xy^{2/9}[/tex] Original expression
[tex]x(y^{2})^{1/9}[/tex] Split up the exponent
[tex]x(\sqrt[9]{y^{2} } )[/tex] The 1/9 of an expression is the same thing is the 9th root of the expression.
Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)
Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.
See attached drawing.
For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]
Need help with this
Pls!! Show work
Answer:
a) S_tot 320 cm² (cube), 282.743339 cm² (cylinder) thus the cube is a greater surface area.
b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.
Step-by-step explanation:
First solve for the cube:
length l = 10 cm
width w = 10 cm
height h = 3 cm
diagonal d = 14.4568323 cm
total surface area Stot = 320 cm²
lateral surface area S_lat = 120 cm²
top surface area S_top = 100 cm²
bottom surface area S_bot = 100 cm²
volume V = 300 cm³
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Formulas for a rectangular prism or cube:
Volume of Rectangular Prism:
V = lwh
Surface Area of Rectangular Prism:
S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism:
d = √(l² + w² + h²)
_______________________________
Second we solve for the cylinder
radius r = 5 cm d/2 = 10/2 = 5 cm
height h = 4 cm
volume V = 314.159265 cm³
lateral surface area L = 125.663706 cm²
top surface area T = 78.5398163 cm²
base surface area B = 78.5398163 cm²
total surface area A = 282.743339 cm²
In Terms of Pi π
volume V = 100 π cm³
lateral surface area L = 40 π cm²
top surface area T = 25 π cm²
base surface area B = 25 π cm²
total surface area A = 90 π cm³
Agenda:
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder:
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
factorise 2x^2 -x-21
Answer:
(x + 3) × (2x - 7)
Step-by-step explanation:
2x² - x - 21
Write as a difference
2x² + 6x - 7x - 21
Factor the expressions
2x × (x + 3) - 7 (x + 3)
Factor the expression
(x +3) × (2x - 7)
Find the value of x the triangle shown below
Answer:
[tex]82[/tex]
Step-by-step explanation:
[tex]24+74+x=180[/tex]
[tex]98+x=180[/tex]
[tex]x=180-98[/tex]
[tex]x=82[/tex]
Answer:
x =82
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
24+74+x = 180
Combine like terms
98+x = 180
Subtract 98 from each side
98+x-98= 180-98
x =82
Are you an expert? then answer this.
Answer:
a) n = 3
b) every 9 cm represents 175,000 km
Step-by-step explanation:
a) 20 min : 1 hour
Let's convert it into same units
⇒20 min : 60 min
÷ 20 ÷ 20
⇒ 1 : 3
So n = 3
b) 1 : 25,000
Which means every 1 cm on the map represents 25,000 km
And,
1 cm = 25,000 km
So,
9 cm = 25,000 × 9
9 cm = 175,000 km
So every 9 cm represents 175,000 km
Answer:
a) 3
b) 2.25 km
Step-by-step explanation:
a) 20 min : 1 hour = 1 : n
20 min : 60 min= 1 :3
n=3
b) 1: 25000 scale
1 mm : 25000 mm
9 cm = 90 mm
90 mm : 90*25000 mm
9 cm : 2250000 mm
9 cm : 2.25 km
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
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help me with this pls like omg soooo stressful
Answer:
t =1
Step-by-step explanation:
3t - 18 = 4(-3-3/4t)
Distribute
3t - 18 = -12 -3t
Add 3t to each side
3t -18+3t = -12 -3t+3t
6t -18 =-12
Add 18
6t -18+18 = -12+18
6t = 6
Divide by 6
6t/6 = 6/6
t =1
Answer:
t = 1
Step-by-step explanation:
start by distributing the 4 to whats in the parentheses.
4 (-3 - 3/4t)
-12 - 3t
*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator
now you have:
3t - 18 = -12 - 3t
add 18 to both sides
3t = 6 - 3t
add 3t to both sides
6t = 6
divide both sides by 6
t = 1
Which expression is represented by the number line?
A number line going from negative 4 to positive 4. An arrow goes from negative 2.5 to negative 1, from 0 to 3, and from 3 to negative 2.5.
3 – 5.5 – 1.5
3 – 5.5 + 1.5
3 – 2.5 – 1
3 – 2.5 + 1
Answer:
3 – 5.5 + 1.5
Step-by-step explanation:
The number line described above is 3 – 5.5 + 1.5
Starting from our midpoint '0'
It moves 3 units to the right direction = +3
Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5
Therefore, we finally have ;
+3 - 5.5 + 1.5
Answer:
B) 3 - 5.5 + 1.5
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
Can someone please help me on this????
find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer
Answer:
2261.95
Step-by-step explanation:
A=2πrh+2πr2
Answer:
2261.9
Step-by-step explanation:
the other users answer was correct, but not with 1 decimal place
