Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i
Find the Volume of the Triangular Prism Below.
a.
416 m
b.
432 m
c.
624 m
d.
864 m
Answer:
[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]
During Black Friday, everything at Best Buy was marked down 15%. If a customer purchased electronics for a subtotal of $240, what is the final price they would pay for all of their electronics?
Answer:
$204
Step-by-step explanation:
Expression : 240 x 15%
15% x 100 = 0.15
Equation : 240 x 0.15 = 36
Final Answer : 36
240 - 36 = 204
Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers
Answer:
[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answer:
2143.57 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 2143.57 cm³Our TA owns four Porsches, each works of the time, and two Ferraris, each works of the time. What is the probability that on a given day, at least half of the Porsches and at least half the Ferraris work
Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.
What is the probability that only half of the cars work?The Porches work 80% of the time and the Ferraris work 60% of the time.
Using the binomial distribution, the probability that half the Porches work is:
= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾
= 0.9728
The probability that half the Ferraris work is:
= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾
= 0.84
The probability that only half of both will work is:
= 0.9728 x 0.84
= 0.8172
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Can you help me? I don’t understand this question at all. It would really help.
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.Find the area of the kite by summing the areas of the triangles that make it.
answer = 70
top triangle
1/2 times 5 times 5 = 12.5
12.5 times 2 = 25
bottom
14 - 5 = 9
1/2 times 5 × 9 = 22.5
22.5 times 2 = 45
45 + 25 = 70
The area of the kite is [tex]70in^2[/tex]
How do you find the area of a kite and what is the formulaThe area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Given;
[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]
[tex]70_2=140[/tex]
Therfore, the area of the kite is [tex]70in^2[/tex]
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Use the compass and ruler to inscribe a circle in the triangle.
Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle
How many dots are in 1/2 of this group?
Answer:
the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.
and the 1/2 of this in the group Is 9
What is the square root of 3415? Thank You!
The square root of 3415 is 58.438001334748
The difference of twice a number and 3 is at most-26.
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2
Solve this questiion please asap
Answer:
Y=3
Step-by-step explanation:
please mark brainliest
Answer:
Y = 3
If you need me to explain it step by step lmk.
What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
A side of the triangle below has been extended to form an exterior angle of 70°. Find
the value of x.
The exterior angle and x form a straight line which need to equal 180.
x = 180-70 - 110
Answer: x = 110
For the given triangle the required measure of angle is 110°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Since we know that,
The angle of a line is 180 degrees.
Therefore, for the given triangle,
x° + 70° = 180°
Subtract 70° on both sides,
x° = 110°
Hence,
The measure of x° is 110°.
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What is the volume of the following rectangular prism????????
This is a graph of y =2x-7
Use the graph to solve these equations
a. 2x-7=5
b. 2x-7=0
Which Stem-and-Leaf Plot matches the data set shown below?{11, 23, 13, 17, 13, 24, 22, 32, 12, 35} PLEASE HELP ME
Answer:
I am going to use a dot to represent a line:
1 . 1, 2, 3, 3, 7
2. 2, 3, 4
3. 2, 5
Aryll measures the water depth at the end of her dock. Waves are coming in, so the water level keeps changing.
The graph below shows the water level, h, in feet, t seconds after she began measuring. Approximately how much time passes between consecutive waves?
Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.
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Write the ratios for sin A and cos A.
A
26
B
10
C
24
Not drawn to scale
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
hELP ME PLSSSSSSSSSSSSSSSS!!!
Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 ine + 20 ≥ 33
Please help me solve this!
( solving one-step inequalities )
Answer:
=> e is greater than Or equal to 13
Answer:
Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false
Each base of a right prism is a rhombus. The figure has
a vertex at (4, 0, 2). Which ordered triple represents
other vrtices of the prism? Select three options.
(-4, 0, -2)
(0, -3,2)
(0, -3,0)
(-4, 0, 2)
(0, 3, -2)
Answer:
(0, -3, 2)
(0, -3, 0)
(-4, 0, 2)
What are vertices?Corner where 2 or more edges meet.
How would you find vertices of a rhombus?If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given
[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]
be the two points.
Rita has a credit card that gives a 6% discount on every purchase. The annual percentage rate on the card is 15%. She is purchasing a digital camera for $300. If she purchases the camera and only pays $80 on the first month’s bill, how much will she need to pay off the balance the following month? $199. 47 $204. 53 $220. 00 $222. 75.
Answer:
The answer would be 204.53Step-by-step explanation:
I'm taking the testPLEASE URGENT
Mary wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Mary can pay $70 per month, plus $1 for each group class she attends. Alternately, she can get the second membership plan and pay $10 per month plus $4 per class. If Mary attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that?
Write a system of equations, graph them, and type the solution.
The linear equations for the system: y = x + 70 and y = 4x + 10
She'll attend 20 classes/month
The graph for the solution (20, 95) is in the image attached below
What is a Linear Equation?A linear equation can expressed in slope-intercept form, as, y = mx + b.
m = unit rate/slopeb = initial value/y-interceptLinear equation for the first membership plan:
b = 70
m = 1
x = number of classes
y = total amount
Equation for the first membership plan: y = x + 70
Linear equation for the second membership plan:
b = 10
m = 4
x = number of classes
y = total amount
Equation for the second membership plan: y = 4x + 10
The system of equations are:
y = x + 70
y = 4x + 10
The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).
This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.
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Find the median of the data. 3,5,7,9,11,3,8 The median is
Answer:
7
Step-by-step explanation:
The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.
Answer:
7
Step-by-step explanation:
3, 3, 5, 7, 8, 9, 11
7 is in the middle.
What is the slope of the line represented by the equation f(x)=3/2x- 4
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
A survey of favorite movie types found that 36% of people polled preferred comedies instead of action movies. if
450 people preferred comedies, how many people were surveyed?
a. should your answer be less than 450, equal to 450, or greater than 450? why?
b. calculate
Answer:
Step-by-step explanation:
a)
The answer is greater than 450 because the percentage is less than 100%
b)
36% = 36/100 = 0.36
450/0.36 = 1250
how many people were surveyed?:
1250
To produce 10 shirts, the total cost is $80; to produce 11 shirts, the total cost is $99. The average total cost of the 11th shirt is equal to Group of answer choices $8. $9. $80. $99. $19.