Answer:
...
Step-by-step explanation:
(x-1) will cancel each other so the answer is the last one
Pleaaaase hellp me will mark u brainly for both answers!!!
Thank u if u do really appreciate it.
Answer:
1. Option A is correct (A = length x width)
2. Option B is correct ( A = base x height/2)
Hope this helps
:)
Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *
Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
The measure of an angle is 17°. What is the measure of its complementary angle?
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73
3. Find x, y, and z.
zº
xº
y
18°
64°
Answer:
[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)
[tex]x = 64 \: \: degrees[/tex]
[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]
Someone help me please
Step-by-step explanation:
Step 1: Convert degrees into radians
[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]
[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]
[tex]\frac{52\pi}{180}[/tex]
[tex]\frac{13\pi}{45}[/tex]
Step 2: Find the arc length
[tex]S = r\theta[/tex]
[tex]S=(3)(\frac{13\pi}{45})[/tex]
[tex]S = \frac{39\pi}{45}[/tex]
[tex]S=\frac{13\pi}{15}[/tex]
Answer: Option B
what percent of 420 is 70
Answer:
16.67
Step-by-step explanation:
Answer:
16.67
Step-by-step explanation:
70:420*100 =
(70*100):420 =
7000:420 = 16.67
A house is valued at 213,000.After several years,the value increased by 8%.How much did the house value increase in dollars?.What is the current value of the house?
Answer:
The house value increase by $17,040 in dollar terms
The current value of the house $ 230,040
Step-by-step explanation:
The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000
new value=earlier value *(1+% increase in value)
% increase in value is 8%
new value=$213,000*(1+8%)
=$213,000*1.08=$230,040.00
increase in value= $230,040-$213,000=$17,040
The increase in value of the house of 8% translated into a dollar value of $17,040
what's the change in Dana's profit from Saturday to sunday? simplify the expression
Answer:
14 did this lesson rn
Step-by-step explanation:
The required change in Dana's profit is given as $12, as of the given condition.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
On Saturday Dana's profit = -$2
On Sunday Dans;s profit = $12
Change in Dana's profit = 12 - 2 = $12
Thus, the required change in Dana's profit is given as $12.
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find the area of the following trapezoid
Answer:
12
Step-by-step explanation:
Answer:
82 cm is the area of trapezoid
3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)
Answer: D is a function.
Step-by-step explanation:
A function need to have exactly one output to each input.
Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)
Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)
What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?
A. 10 units
B. 14 units
C. 12 units
D. 8 units
Answer:
10
Step-by-step explanation:
Distance = √(x2-x1)² + (y2-y1)²
d = √(10-4)² + (13-5)²
d = √6² + 8²
d = √36+364
d = √100
d = 10
Find the circumference of a circle whose area is 24 ft2
Answer: [tex]17.33ft[/tex]
Step-by-step explanation:
We need to go from area to radius to circumference.
Formula for the area:
[tex]A=\pi r^2[/tex]
Solve for r;
Divide by pi
[tex]r^2=\frac{A}{\pi}[/tex]
Extract the square root.
[tex]r=\sqrt{\frac{A}{\pi} }[/tex]
Plug in the value of the area.
[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]
Now that you've found the radius, use the circumference formula to calculate it.
[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]
Find the exact value of sin 315º in simplest form with a rational denominator.
Answer: - √2
Step-by-step explanation:
help me plzzzzzzz!!!!
[tex] {y}^{2} + 14 = 3 {y}^{2} \times 5[/tex]
Answer:
[tex]y=1,\:y=-1[/tex]
Step-by-step explanation:
[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]
Answer:
y = ± 1
Step-by-step explanation:
Given
y² + 14 = 3y² × 5, that is
y² + 14 = 15y² ( subtract y² from both sides )
14 = 14y² ( divide both sides by 14 )
1 = y² ( take the square root of both sides )
± [tex]\sqrt{1}[/tex] = y , that is
y = ± 1
Thus y = - 1 or y = 1
ASAP WILL MARK BRAINLEST
What is the number of possible combinations of 8 objects taken 6 at a time?
The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.
What is a combination?Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
The number of possible combinations of 8 objects taken 6 at a time.
Then the number of the combination is given as
[tex]\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28[/tex]
More about the combination link is given below.
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What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.
Answer:
The domain of f is x > 0.
The range of f is all real numbers.
The domain of the inverse function is all real numbers.
The range of the inverse function is y > 0.
The domain of f is the same as the
range of the inverse function.
The range of f is the same as the
the domain of the inverse function.
Step-by-step explanation:
this is the sample answer, make sure you rewrite in your own words!
The domain and the range of a function are the set of input and output values of the function
The domain and the range of the function are set of real numbers greater than 0
The function is given as:
[tex]f(x) = log_7(x)[/tex]
The above function is a logarithmic function.
From the properties of a logarithmic function, we have:
The x-values are always greater than 0The y-values are always greater than 0This means that, the domain and the range of the function are set of real numbers greater than 0
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Pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease
Answer:
1. 5
2. 1
3. 2
4. 23
Step-by-step explanation:
If y=6x+5, you can plug in the known x or y value to get the other with this function. For the first row, y=6(0)+5=5. For the second row, 11=6x+5, and that x=1. For the third row, x is 2, and for the fourth row y is 23. Hope this helps!
Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!
Answer:
4
Step-by-step explanation:
Answer:
GCF=4
Step-by-step explanation:
It's 4
24/4=6
40/4=10
60/4=15
You can't go any higher because there is no GCF of 6, 10, and 15.
what is the solution of this equqtion? 1w= -17
Answer:
-17
Step-by-step explanation:
1w= -17
(1)(-17)=
-17
Answer:
-17
Step-by-step explanation:
in this situations, we normally divide both sides by the number next to the unknown.
1w is the same as saying w
so,
w = -17
Determine the volume of the cylinder
Answer:
about 904.78
Step-by-step explanation:
πr^2h pi(6)^2 * 8
i really need help guys can some one plz help me it's for 10 points
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Benny scored 19 points in Mondays basketball game and 46 points in Fridays game.How many points did he score in the last two games?
Answer:
He scored 65 points in his last two games
Step-by-step explanation:
Here, we want to calculate the number of points Benny scored in his last two games.
We must understand that his last two games correspond to the games he played on Monday and on Friday
So to get his total points in the last two games, what we do is that we add both points together
Mathematically, that would be 19 + 46 = 65 points
The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism? Round your answer to the nearest tenth.
Question :
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.
Answer: 7.62cm
Step-by-step explanation:
Given the following :
Width = 6cm
Depth = 4cm
Vertical height = 7cm
Splitting the face of the prism into two:
Thus the width becoming 6cm/2 = 3cm and vertical height = 7cm
Using Pythagoras ;
The side edge 's' equals
s^2 = width^2 + height^2
s = √(width^2 + height^2)
s = √(3^2 + 7^2
s = √9 + 49
s = √58
s = 7.62cm
Answer:
7.6
Step-by-step explanation:
the person above is correct, i took the test on khan, but you have to round to the nearest tenth
When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)
The cost price of the cycle is Rs.3240
Represent the cost price of the cycle with x and the selling price with y
A gain of 5% when the marked price is at a discount of 10% implies that:
[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]
Express 10% as decimal
[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]
[tex]5\%=\frac{0.90y-x}{x}[/tex]
Express 5% as decimal
[tex]0.05=\frac{0.90y-x}{x}[/tex]
Cross multiply
[tex]0.05x=0.90y-x[/tex]
Collect like terms
[tex]x + 0.05x=0.90y\\[/tex]
This gives
[tex]1.05x=0.90y[/tex]
Make y the subject of the formula
[tex]y = \frac{1.05x}{0.90}[/tex]
Also, when the discount is 5% and the profit is 351, we have:
[tex]351=(1 - 5\%)y -x[/tex]
Express 5% as decimal
[tex]351=(1 - 0.05)y -x[/tex]
This gives
[tex]351=0.95y -x[/tex]
Make y the subject
[tex]0.95y = 351 + x[/tex]
Substitute [tex]y = \frac{1.05x}{0.90}[/tex]
[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]
[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]
Subtract x from both sides
[tex]\frac{0.9975x}{0.90} -x= 351[/tex]
Take LCM
[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]
[tex]\frac{0.0975x}{0.90}= 351[/tex]
Multiply both sides by 0.90
[tex]0.0975x= 315.9[/tex]
Divide both sides by 0.0975
[tex]x= 3240[/tex]
Hence, the cost price of the cycle is Rs.3240
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At 8:00 am, it is 10 degrees outside. 12 hours later at 8:00 pm, it is -20 degrees outside. What is the difference in temperatures?
Answer:
-30
Step-by-step explanation:
Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same time. What is the probability that the total of numbers facing up will equal 12
Answer:
1/36
Step-by-step explanation:
If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.
Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.
The probability that the first cube has the number 6 is: 1/6
The probability that the second cube has the number 6 is: 1/6
We need to multiply this numbers because they both have to be 6 (rule of multiplication),
so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]
Thus, the probability that the sum of them equals 12 is 1/36
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$555,765.76
Step-by-step explanation:
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16282
32564
65128
13256
26512
53024
106048
212096
424192
868384
1736768
3473536
6947072
13894144
27788288
55576576=
555,765.76
The money would you have after 30 days is $555,765.76.
A penny that doubles each day for 30 days.
We have to determine the money would you have after 30 days.
We have to determine for 30 days,
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16282
32564
65128
13256
26512
53024
106048
212096
424192
868384
1736768
3473536
What is money?money, a commodity accepted by general consent as a medium of economic exchange. It is the medium in which prices and values are expressed as currency,
6947072
13894144
27788288
55576576=555,765.76
Therefore we get the money would you have after 30 days $555,765.76.
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find the variable: n/14=3
Answer:
n=42
Step-by-step explanation:
What is the end behavior of the polynomial function?
Answer:
D) as x approaches neg. infinity, y approaches neg. infinity
Step-by-step explanation:
This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)
Answer:
D one Edge 2021 ;))
Step-by-step explanation: