Answer:
Answer: x = √3 and 8/(3√3)
Step-by-step explanation:
[tex]{ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}[/tex]
• For the first bracket:
[tex]{ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}[/tex]
• For the second bracket;
[tex]{ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}[/tex]
A rectangular prism with a square base is cut from the center of a triangular prism. Each side of the square base measures 1. 7 units. A rectangular prism with a square base is cut out of the center of a triangular prism. The triangular prism has base lengths of 5 and 4 units and a height of 5. 7 units. The rectangular prism has sides lengths of 1. 7 and 4 units. What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11. 6 units3 45. 4 units3 57. 0 units3 68. 6 units3.
The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³
The given diagram is made up of a rectangular prism and a triangular prism.
The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.
Volume of triangular prism Vt = BH/3
Base area B = 0.5(5.7)(5)
Base area B = 14.25units²
Height = 4 units
Vt = 14.25 * 4
Vt = 57units³
Volume of the rectangular prism = l²h
Volume of the rectangular prism Vr = 1.7 * 1.7 * 4
Vr = 11.56units³
Volume of the shaded solid = Vt - Vr
Volume of the shaded solid = 57units³ - 11.56units³
Volume of the shaded solid = 45.4units³
Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.
Learn more on the volume of prisms here: https://brainly.com/question/12716590
Answer:
B
Step-by-step explanation:
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m
ANSWER:
9m is the answer
Marking brainliest
What do you thinks this means and why does it matter
Answer:
You didnt put anything for me to see lol
Step-by-step explanation:
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
X^2-18x complete the square
[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]
Can i get some help :
Answer: so, option 1 and 3 are true
1. True: The left side 6 is equal to the right side 6 , which means that the given statement is always true.
2. False: The left side 39 does not equal to the right side 9 , which means that the given statement is false.
3. True: The left side 16 is equal to the right side 16 , which means that the given statement is always true.
4. False: The left side 21 does not equal to the right side 19 , which means that the given statement is false.
Step-by-step explanation:
Find the x and y intercepts of each equation
Step-by-step explanation:
the y-intercept is the y value when x = 0.
the x-intercept is the x Banjul when y = 0.
now we only need to put the corresponding 0-value into the equations and calculate the other value.
a.
x = 0, y = 10
y = 0, x = 5 because
0 = 10 - 2x
2x = 10
x = 5
b.
x = 0, y = 2 because
9y = 18
y = 0, x = 18/4 = 9/2 because
4x = 18
c..
x = 0, y = -22 because
-2y = 44
y = 0, x = 44/6 = 22/3 because
6x = 44
3x = 22
d.
x = 0, y = -4/12 = -1/3 because
0 = 4 + 12y
y = 0, x = 4/2 = 2 because
2x = 4
x = 2
Can someone plss help me with this!!!
1. (2x^3)^4
2. 18 x^0
3. 7p ^-4
Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.
If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
find the perimeter of the polygon
Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.
Answer:
equation: 41+4x=45.80
answer: x=1.20
Step-by-step explanation:
The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Let's denote the number of gigabytes of data Nathaniel can use as x.
Then the equation representing his cell phone bill can be set up as:
Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)
$45.80 = $41 + ($4 × x)
Now, we can solve for x:
$4 × x = $45.80 - $41
$4 × x = $4.80
x = $4.80 / $4
x = 1.2
So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Learn more about equation here:
https://brainly.com/question/29174899
#SPJ3
please help me quick
Answer:
c
Step-by-step explanation:
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
7/14 in its simplist form
Answer:
1/2
Step-by-step explanation:
pls help me solve this
The Bill of Rights was ___.
A) all of these
B) demanded by those considering ratification of the Constitution
C) none of these
D)the first ten amendments to the Constitution
E) added by the first Congress after the ratification of the Constitution
Answer: The answer is D, the first ten amendments to the constitution.
If you were to graph the function f(x)=−15x+4 on the semester test, you should first graph the y-intercept, then use the slope to graph a second point, and connect the points with a line.
Write the y-intercept of the function f(x)=−15x+4 in the first box. Just write the number, no y= or f(x) =.
Write the slope of the function f(x)=−15x+4 in the second box. Just write the number, no m= or slope=.
Answer:
4
-15
Step-by-step explanation:
8x - 60 less than or equal to 2 (5 - 3x)
Answer:
x less than or equal to 5
i think thats what u wanted
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5
A car travels 270 kilometers in 6 hours. How far will it
travel in 9 hours at the same speed?
Pls pa help po
Answer:
405
Step-by-step explanation:
divide 270 by 6 the multiply what you got with 9
:)
Spiderman charges $25 for a service call plus $50 per hour of service. If Spiderman
works for 10 hours what will be the total cost of his service?
Answer:
Step-by-step explanation:
$425
Answer:
$525
Step-by-step explanation:
If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.
Meriel works in a lab and needs to measure 7.5 grams of a substance with a percent error of less than
5%. What is the smallest and largest amount they can measure to stay under this percent error?
Answer:
Step-by-step explanation:
A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!
i’m struggling with this question. can you please help me?
Answer:
50°
Step-by-step explanation:
∠ RST = (arc QC - arc RT) / 2
= (150° - 50°) / 2
= 50°
What is the expression after applying the distributive property? −12(−2+(−3))
Answer:
60
Step-by-step explanation:
-5.-12=60
Hey there!
-12(-2 + (-3))
= -12(-2 - 3)
DISTRIBUTE -12 within THE PARENTHESES
= -12(-2) - 12(-3)
= 24 + 36
= 60
Therefore, your answer is: 60
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
BRAINLIEST
Please answer these
12.
Answer: 30.25π
11π = circumference
diameter * π = circumference
diameter = 11
radius = 5.5
Area = 5.5 * 5.5 * π
Area = 30.25π
13.
Answer: 52π
Area = radius * radius * pi
Area = 676π
Radius = 26
Diameter = 2 * radius
Diameter = 52
Circumference = 52π
14.
Answer: 38π
Area = radius * radius * pi
Area = 1134.11
Radius ≈ 19
Diameter = 38
Circumference = 38π
15.
Answer: 72.25π
Circumference = diameter * π
53.41 = diameter * π
Diameter ≈ 17
Radius = 8.5
Area = radius * radius * π
Area = 72.25π
Answer:
Step-by-step explanation:
PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
See below
Step-by-step explanation:
To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.
5)
The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.
It's pretty hard to read that top graph in the photo, but I think I see these ones marked:
Line 1: (0, 3) and (3, 0)
Line 2: (0, -3) and (2, 3)
Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.
Divide the change in y by the change in x:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]
The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.
Now for line 2:
[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]
When x increases by 1, y increases by 3.
The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.
Line 1: 3
Line 2: -3
Now, you can write the equations for these lines in slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept we found above.
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
In line 1, -1x can be simplified to just -x.
6)
I'll do the exact same process here, but with less explaining. Let me know if you have any questions.
Find 2 points:
Line 1: (0, -2) and (4, 0)
Line 2: (0, 6) and (4, -4)
Find the slope of line 1:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]
and line 2:
[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]
Now, the y-intercepts:
Line 1: -2
Line 2: 6
Write the equations:
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.
Example:
[tex]y=2x+1\\y=2x+2[/tex]
Those both have a slope of 2, and if you graph them, you'll see that they never intersect.
A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.
Example:
[tex]y=2x+1\\y=2x+1[/tex]
That's what they are, graph them however you like.
what's 9 plus 10 and not 21
Answer:
19
Step-by-step explanation:
2x + 3y = 9
3x - y = 8
[tex]\left \{ {{2x + 3y = 9} \atop {3x - y = 8}} \right. <=>\left \{ {{2x + 3y = 9} \atop {9x-3x=24}} \right. <=>\left \{ {{2x+9x+3x-3x=9+24} \atop {9x-3x=24}} \right. \\<=>\left \{ {{11x=33} \atop {9x-3x=24}} \right. <=>\left \{ {{x=3} \atop {y=1}} \right.[/tex]
ok done. Thank to me :>
evaluate the expression when x= 2and y= -3 x+y
Answer:
- 1
Step-by-step explanation:
x + y ← substitute x = 2 and y = - 3 into the expression
2 + (- 3)
= 2 - 3
= - 1