Answer:
z = 58 mm
Step-by-step explanation:
Volume of the rectangular prism :
Volume = length x breadth x heightSolving :
122,264 = 62 x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mmAnswer:
z = 58 mm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 122,264 mm³l = 62 mmw = z mmh = 34 mmSubstitute the values above and solve for z:
122,264 = 62 × z × 34
122,264 = 2108z
122,264/2108 = 2108z/2108
58 = z
Final answer: 58 mm
Hope this helps!
Which of the following statements are true about the graph? Check all that apply.
The graph has a minimum.
The graph has a maximum.
The graph has zeros of -4 and 2.
The vertex is located at (-1,-9).
Answer:
the graph has a minimum
Step-by-step explanation:
the minimum is -9
Answer:
the graph has a minimum & the vertex is located at (-1,-9)
Step-by-step explanation:
Minimum is where its like at the bottom opening down. And the vertex is the x value of the minimum point. Maximum is the opposite where the curve is facing upwards and is the highest point where the vertex is the x value of the maximum or highest point.
A card is drawn from a standard deck of 52 playing cards. What is the probability of drawing a club or a red king?
Answer:
1/2
Step-by-step explanation:
number of required outcome ÷number of possible outcomes
1/2
Determine if square root of three is rational or rational and why
Answer:
Irrational
Step-by-step explanation:
If the number goes on and on it’s irrational
Hope this helps! ;-)
Answer:
It is not rational because the square root of 3 is not a fraction nor a repeating decimal.
Write the converse of the following statements:
1. If two angles are both obtuse, the two angles are equal.
2. If 3 - 2x = 13, then x = -5.
3. If 2 angles are supplementary, then they are not equal.
For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
What is the converse of a statement?A conditional statement with the antecedent and effect reversed is known as a converse statement.
We have statement:
1. If two angles are both obtuse, the two angles are equal.
Converse: The two angles are equal if the two angles are both obtuse.
2. If 3 - 2x = 13, then x = -5.
Converse: x = -5 if the equation is 3 - 2x = 13
3. If 2 angles are supplementary, then they are not equal.
Converse: Two angles are not equal if 2 angles are supplementary.
Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is 3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.
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Name the property used in the equation 1=6n. Then find the value of n.
Answer:
1=6
Step-by-step explanation:
Divide both sides of the equation by the same term
1=6
Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
Find m.
30°
m
Write your answer in simplest radical form.
feet
60°
6 ft
Answer:
M=3ft
Step-by-step explanation:
Use trigonometric ratio Sin to get M which is the opposite side of the given angle of 30°
[tex]sin = \frac{opp}{hyp} [/tex]
[tex]sin30 = \frac{m}{6} [/tex]
Multiply 6 on both sides:
[tex]6sin30 = m[/tex]
Use a calculator:
3=M
or..
use special angles:
Sin30=0.5
6×0.5=3
Therefore M is 3 ft
Help plss. Worth 20 points<3
What do animals that are carnivores eat?
fish and insects
other animals
plants and fungus
whatever they can find
Answer: Other animals
Step-by-step explanation:
Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
Find the product and simplify. (3c-5) ^2
Answer:
9c² -30c + 25
Step-by-step explanation:
Perfect square trinomial: (a - b)² = a² - 2ab + b²
(3c - 5)²
(3c)² -2(3c * 5) + 5²
9c² -2(15c) + 5²
9c² -30c + 25
Final answer: 9c² -30c + 25
Hope this helps!
Hi!
Given:
[tex](3c-5)^2[/tex]
As this is squared, we are simply multiplying the given expression by itself, like so:
[tex](3c-5)(3c-5)[/tex]
Now, we can use the Distributive Property to solve, using the FOIL Method:
[tex](3c-5)(3c-5)[/tex]
[tex]9c^2-15c-15c+25[/tex]
Combine like terms:
[tex]9c^2-30c+25[/tex]
For a similar problem, see:
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4. What is the area of the circle below?
3m
Answer:
[tex]\pi * 9[/tex] or 28.28
Step-by-step explanation:
With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]
Hope This Helps!
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
Enter the unknown number to make the equation true.
Please help I’ll give brainless if possible
Answer:
It would be 70
Step-by-step explanation:
hope this helped :)
hey so I'm a 15 year old in Geometry HN and I have my SOL tomorrow, (baisaclly state testing) I've been stuffy for weeks now yet my brain just can't comprehend ANYTHING! and I'm honestly so frustrated. Could anyone help me with these questions? about circles? I would appreciate if someone gave me a step-by-step process if it isn't to much to ask
Directions: Find X. O represents the center of the circle
Answer:
2: 86
3:64
4: 77
6: 3
7:12
8: O=110 X:110
Step-by-step explanation:
Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length
Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement
Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two
Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.
Number 7 is x=12 because 5x+12 is twice the measure of 3x
Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.
A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)
Helpppppppppppppppp please
As there is the highest degree 4 there are four zeros .
Using calculator
the roots are(attached)
The graph is also attached
Answer:
a) 4 roots
b) x = 1 and x = -3
[tex]\textsf{c)} \quad x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}[/tex]
d) see attached
Step-by-step explanation:
Given function:
[tex]f(x)=x^4+3x^3-x-3[/tex]
Part (a)
From inspection of the function, the highest exponent of the polynomial is 4. Therefore, it is expected that the polynomial will have 4 roots.
Part (b)
To find the rational roots, find values of x where [tex]f(x)=0[/tex]
[tex]f(1)=(1)^4+3(1)^3-1-3=0[/tex]
[tex]f(-3)=(-3)^4+3(-3)^3-(-3)-3=0[/tex]
Therefore, the rational roots are: x = 1 and x = -3
Part (c)
As there are only 2 rational roots, the other 2 roots must be complex roots. To find these, first factor the polynomial using the 2 rational roots found in part (b):
[tex]\implies f(x)=(x-1)(x+3)(x^2+bx+1)[/tex]
[tex]\implies f(x)=(x^2+2x-3)(x^2+bx+1)[/tex]
[tex]\implies f(x)=x^4+bx^3+x^2+2x^3+2bx^2+2x-3x^2-3bx-3[/tex]
[tex]\implies f(x)=x^4+(2+b)x^3+(2b-2)x^2+(2-3b)-3[/tex]
Compare coefficients to find b:
[tex]\implies (2+b)x^3=3x^3[/tex]
[tex]\implies b=1[/tex]
Therefore the fully factored function is:
[tex]\implies f\:\!(x)=(x-1)(x+3)(x^2+x+1)[/tex]
Therefore:
[tex](x^2+x+1)=0[/tex]
To find the complex roots, use the quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{-3}}{2}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{3}\sqrt{-1}}{2}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{3}i}{2}[/tex]
Therefore, all the roots of the function are:
[tex]x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}[/tex]
Part (d)
End behaviors:
As the degree of the function is even and the leading coefficient is positive, the end behaviors are:
[tex]\textsf{As } x \rightarrow - \infty, \:\: f(x) \rightarrow + \infty[/tex]
[tex]\textsf{As } x \rightarrow + \infty, \:\: f(x) \rightarrow + \infty[/tex]
y-intercept
Substitute x = 0 into the function:
[tex]f\:\!(0)=(0)^4+3(0)^3-(0)-3=-3[/tex]
Therefore, the y-intercept is (0, -3)
To find the approximate x-coordinates of the turning points (stationary points), differentiate the function, set it to zero, then solve for x:
[tex]f'\:(x)=4x^3+9x^2-1[/tex]
[tex]\implies 4x^3+9x^2-1=0[/tex]
Using a calculator, x ≈ -2.2, x ≈ -0.4, x ≈ 0.3
Therefore the approximate coordinates of the turning points are:
(-2.2, -9.3), (-0.4, -2.7) and (0.3, -3.2)
We don't need to plot these points, they merely help us with the approximate shape of the curve.
Write the word sentence as an equation. Then solve.
The product of 15 and a number x is −75
The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
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Answer:
Step-by-step explanation:
2
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
70
Step-by-step explanation:
using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70
I need the numbers please con y’all help me
Answer:
[tex]y=\frac{2}{3}x+4[/tex]
Step-by-step explanation:
Calculate the slope by using rise over run to get 2/3x
The Y Intercept is 4
Miguel plots points a, b, and c in the coordinate plane. what is the distance
between points a and b?
a(-3,2)
b(-6,-2)
c(0,-2)
The distance between a and b is 5 units.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length. The triangle is defined as the plane two-dimensional figure with three sides having the sum of the three angles of 180 degrees.
Since the figure is missing in the question so I have attached the figure of the points on the graph for better understanding.
The given coordinates are as follows:-
a (-3, 2)
b (-6, -2)
c (0, -2)
Use the distance formula,[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , to find ab.
ab = √[(−6−(−3))² + (−2−2)²]
ab = √25
ab = 5 units
Therefore the distance between A and B is 5 units.
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One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
Help...
25 pts and will give BRAINLIEST!
Answer:
hope u understand...........
Cereal costs $.19 per ounces. How much does 15 oz of cereal cost?
what's the graph of y=3x-5
Answer:
Step-by-step explanation:
When graphing an inequality, what is drawn to show that the number named
in the inequality is included in the solution?
Answer:
The line would be a solid line.
Step-by-step explanation:
To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.
A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom side of the die?
Explanation:
This is something you could do by trial and error.
The visible numbers are 1,2,3,4,6 which multiply to 144.
Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.
Every other number 1,2,3,4,6 is a factor of 144.
1*144 = 144
2*72 = 144
3*48 = 144
4*36 = 144
6*24 = 144
What is the angle of evaluation of the top of a tree 8m high from a point on the ground 9.2m away from the foot of the tree
Answer: 40.69°
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In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
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Answer: 147 :)
Step-by-step explanation:
khan academy
man im confused.... could someone help me out please?
Answer:
C) (-2,-16)
Step-by-step explanation:
It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).