To eliminate the coefficient divide each side by 3
Now solve the two step equation
3g - 5 = 17
3g = 17 + 5 = 22
then g= 22/3
Now solve 9 = 4a + 13
9 -13 = 4a
-4 = 4a then -1= a
a= -1
3. What shape is a prism?
Answer:rectangular
Step-by-step explanation:
Answer:
TRIANGULAR
Step-by-step explanation:
A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.
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Answer:
\( \frac{11x}{3y} \)
Step-by-step explanation:
\( \frac{7x}{3y} + \frac{12x}{9y} \)
Make both a single fraction by adding together.
\( \frac{3(7x) + 1(12x)}{9y} \)
\( \frac{21x + 12x}{9y} \)
\( \frac{33x}{9y} \)
Simplify
\( \frac{3(11)x}{3(3y)} \)
\( \frac{11x}{3y} \)
How do you write 0.00007112 in scientific notation?
Answer:
7.112 x \(10^{-5}\)
Step-by-step explanation:
You need to re-write the number so that it is 1 or larger but less than 10. To do that, we need to move the decimal 5 spaces to the right. The actually number is smaller. The \(10^{-5}\) is telling me how much smaller the number actually is. To get the number in standard notation I would have to take 7.112 and divide it by 100,000.
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10
Answer:
A: 2
Step-by-step explanation:
EDGE 2021
Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.
What is a complex number?A complex number is modeled by:
z = a + bi.
In which:
a is the real part.b is the imaginary part.In this problem, the number is:
x = 3 + bi.
It's magnitude is given by:
\(|x| = \sqrt{3^2 + b^2}\)
Then:
\(\sqrt{3^2 + b^2} = \sqrt{13}\)
\(3^2 + b^2 = 13\)
\(b = \pm \sqrt{4}\)
\(b = \pm 2\)
A possible value of b is of 2.
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Help plz thank you so much
Answer:
(x, y) --> (y, x)
Step-by-step explanation:
Match each expression with an equivalent radical form. One of the radical form
options will not have a match.
7/1/2
7
13
3/7/7/
72
3/7/7
1. √72
2. √√37
3. √√3
4. 3/7
5. √7
Answer:
see the attachment
Step-by-step explanation:
You want to match several expressions with fractional exponents to their equivalent radical forms.
Fractional ExponentThe relationship between the two forms is ...
\(a^{\frac{m}{n}}=\sqrt[n]{a^m}\)
If n=2, or m=1, these are omitted from the radical form.
The attachment shows the matching values.
A box containing 5 balls costs $8.50. If the balls are bought individually, they cost $2.00 each. How much cheaper is it, in percentage terms, to buy the box as opposed to buying 5 individual balls?
Answer: The total cost of buying 5 balls individually is $2.00 x 5 = $10.00.
The box costs $8.50, which means it is $10.00 - $8.50 = $1.50 cheaper to buy the box.
To calculate the percentage difference, we can use the formula:
% difference = (difference ÷ original value) x 100%
In this case, the difference is $1.50, and the original value is $10.00.
% difference = ($1.50 ÷ $10.00) x 100%
% difference = 0.15 x 100%
% difference = 15%
Therefore, it is 15% cheaper to buy the box than to buy 5 individual balls.
Step-by-step explanation:
50 Points! Algebra question, multiple choice. Which quadratic inequality is graphed the right? Photo attached. Thank you!
Answer:
I think it is c
Answer:
C
Step-by-step explanation:
If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80? a. M = 85 and s2 = 9 b. M = 90 and s2 = 9 c. M = 85 and s2 = 18 d. M = 90 and s2 = 18
If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80 then s2 = 18 and C. M = 85
The standard deviation (s2) is a measure of the variability of the sample data, while the mean (M) is a measure of the central tendency. The higher the mean and the higher the standard deviation, the more likely it is that the null hypothesis will be rejected. Therefore, the set of sample characteristics that is most likely to lead to a rejection of the null hypothesis is M = 85 and s2 = 18.
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you run m miles on Friday the same amount Saturday and 4 miles on Sunday
a) angle of line of From a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three figure bearings? A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point. (b) How far is the boy now from the start- ing point? A boy runs 200 m on a bearing of 230°.
a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$
\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}
100 sin 35° = 80 sin 55°=57.73 mT
herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.
Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.
To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.
Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.
Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.
To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.
(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus
:$$c^2 = a^2 + b^2$$
where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$
c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$
Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.
Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$
Therefore, the bearing of the boy's current position from the starting point is N51°E.
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p lease help its hard for me The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was -1 °C.
What is the mean temperature for the first 8 days in January?
The mean temperature for the first 8 days in January
x=1.5 °C.
This is further explained below.
What is the mean temperature for the first 8 days in January?The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was -1 °C.
Generally, the equation for the mean is mathematically given as
X= a+b/2
x=4+-1/2
x=1.5
In conclusion, the mean temperature for the first 8 days in January
x=1.5 °C.
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Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
The sum of two numbers is 58. The smaller number is 16 less than the larger number. What are the numbers?
Answer:
hope it may help you
Step-by-step explanation:
n and n+14 are the numbers or you can use n and n-14; either way
n+n+14=58
2n+14=58
2n=58-14
2n=44
n=22 and n+14=22+14=36
22 and 36 are the numbers
or,...
58/2=29
29 and 29
28 and 30
27 and 31
26 and 32
25 and 33
24 and 34
23 and 35
22 and 36 answer
Based on the diagram, what is the length of AC?
A:6.2
B:12.4
C:17
D: 26
Which equation represents this sentence? SIx times the difference of a number and eight is equal to twelve. A. 6n−8=12 B. 6n+8=12 C. 6(n−8)=12 D. 6(n+8)=12
Answer:
The answer is option CStep-by-step explanation:
Let the number be n
The statement
the difference of a number and eight is written as
n - 8
It's multiplied by 6
That's
6( n - 8)
The result is 12
So we have the final answer as
6( n - 8) = 12Hope this helps you
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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D) 2. Find the inverse of the following equation y = x +4
Given the equation
\(y=x+4\)to find the inverse, we just have to solve for x:
\(\begin{gathered} y=x+4 \\ \Rightarrow x=y-4 \end{gathered}\)therefore, the inverse of the equation y = x+4 is x = y-4
I have enough pure silver to coat 4 square meter of surface area. I plan to coat a sphere and a cube. Allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a maximum?
The radius of the sphere is _______,
and the length of the sides of the cube is ______.
Again, allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a minimum?
The radius of the sphere is ______,
and the length of the sides of the cube is _____.
The maximum volume of the silvered solids is when the sphere and cube have the same surface area coverage.
What is surface?Surface is the outermost layer of an object or environment. In the physical world, surface can refer to the physical features of a place, such as the topography of land, the texture of a material, or the shape of an object. In the physical sciences, surface refers to the interface between two different phases, such as a liquid and a gas, or a solid and a liquid. Surfaces can be studied in terms of their properties, such as friction, porosity, adhesion, and viscosity.
In this case, they will have the same volume. Since 4 square meters of surface area is available, each solid will have 2 square meters of surface area.
For the sphere, the radius can be determined by the surface area formula 4πr2 = 2, which can be solved for r to get r = 0.5m.
For the cube, the side length can be determined by the surface area formula 6s2 = 2, which can be solved for s to get s = 0.6m.
The minimum volume of the silvered solids is when one of the solids has all the area coverage while the other has none. In this case,
the sphere will have all 4 square meters of coverage and the cube will have none.
For the sphere, the radius can be determined by the surface area formula 4πr2 = 4, which can be solved for r to get r = 1m.
For the cube, the side length can be determined by the surface area formula 6s2 = 0, which can be solved for s to get s = 0m.
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Pls Help, Max Points
\(\\ \rm\Rrightarrow 49(7^{3x-8})=343^{4x+9}\)
\(\\ \rm\Rrightarrow 7^2(7^{3x-8})=(7^3)^{4x+9}\)
\(\\ \rm\Rrightarrow 7^{2+3x-8}=7^{3(4x+9)}\)
\(\\ \rm\Rrightarrow 7^{3x-6}=7^{12x+27}\)
\(\\ \rm\Rrightarrow 3x-6=12x+27\)
\(\\ \rm\Rrightarrow -33={9x}\)
\(\\ \rm\Rrightarrow x=\dfrac{-33}{9}\)
.
\( x = - \frac{33}{9} \)
Step-by-step explanation:
\((49)(7 {}^{3x - 8} ) = 343 {}^{4x + 9} \)
As we know 7² = 49 and 7³= 343
\(7 {}^{2} (7 {}^{3x - 8} ) = (7 {}^{3} ) {}^{4x + 9} \)
Taking 7 as common
\(7 {}^{3x - 6} = 7 {}^{12x + 27} \)
\(3x - 6 = 12x + 27\)
Taking like terms one side .
\(3x - 12x = 27 + 6\)
\( - 9 x = 33\)
\(x = - \frac{33}{9} \)
\(\sf\red{hope\:it\:helps\:you}\)
3
\(3 \sqrt{81} \)
what's the answer
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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-8(i - 6) = 32
Solve equation with distributive property
Answer:
i = 2
Step-by-step explanation:
-8(i - 6) = 32
-8i + 48 = 32
-8i = -16
i = 2
In a movle theater, each row has 20 seats. Which equation represents this proportional relationship?
A. y = x
B. y = 20 + x
C. y = 20x
D. y = 20
Answer:
c
Step-by-step explanation:
plz hurry up first one to get it will be marked as brainlyest but u must show evidence ! ty
Answer:
-15/-3
-5/-1
Step-by-step explanation:
A negative number divided by a negative number gives you an positive quotient.
So, where -5/1 would give you -5, -5/-1 gives you 5.
And -15/-3 is the same as well.
what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2x^2 = (2 x 2) x (2 x 2)
= 4 x 4
= 16
I hope this helps you
The length of a rectangle is four more than triple the width. If the perimeter is 144 inches, find the dimensions.
The length of a rectangle is 55 inches and the width of the rectangle is 17 inches
Given that The length of a rectangle is four more than triple the width. If the perimeter is 144 inches and asked to find the dimensions of the rectangle
Length of a rectangle = 4 + triple the width
Let's assume the length of a rectangle is "l" and the width is "b"
l= 4 + 3b
perimeter of rectangle =2 ( l +b )
perimeter of rectangle = 2 ( 4 +3b +b)
perimeter of rectangle = 2 ( 4 + 4b )
Given that perimeter of rectangle = 144 inches
144 inches = 2 ( 4 + 4b )
72 inches = 4 + 4b
b= 17 inches
l= 4 + 3b
l=4+51
l=55 inches
Therefore the dimensions of rectangle are 55 inches and 17 inches
Hence,The length of a rectangle is 55 inches and the width of the rectangle is 17 inches.
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a⃗ =⟨4, −3⟩ and b⃗ =⟨−1,−2⟩.
Represent a⃗ +b⃗ by using the head to tail method.
Use the Vector tool to draw the vectors, complete the head to tail method, and draw a⃗ +b⃗ . Do not draw any unnecessary vectors.
To use the Vector tool, select the initial point and then the terminal point.
The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,
a + b = < 3, -5 >
The graph of the vector sum is given below.
The addition of vectors suggests the addition of the corresponding components of the involving vectors.
Given the vectors are:
a = < 4, - 3 >
b = < - 1, - 2 >
So doing vector addition we get,
a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>
Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.
Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,
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Answer: Look at the image below
Step-by-step explanation: I took the test.
Step 1: Select Vector
Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)
Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)
Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)
Your answer should now look like mine, now go get that A.
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a standard deviation of 2 minutes. Seventy percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.)
Answer:
\(z=0.524<\frac{a-5}{2}\)
And if we solve for a we got
\(a=5 +0.524*2=6.048 \approx 6.05 min\)
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
\(X \sim N(5,2)\)
Where \(\mu=5\) and \(\sigma=2\)
For this part we want to find a value a, such that we satisfy this condition:
\(P(X>a)=0.3\) (a)
\(P(X<a)=0.7\) (b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
\(P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.7\)
\(P(z<\frac{a-\mu}{\sigma})=0.7\)
But we know which value of z satisfy the previous equation so then we can do this:
\(z=0.524<\frac{a-5}{2}\)
And if we solve for a we got
\(a=5 +0.524*2=6.048 \approx 6.05 min\)
Figure 1
Figure 2
B
D
E
С
Z
128 cm
2
am
Area of Figure 1 =
Area of Figure 2 =
Perimeter of Figure 1 = 24 cm
Perimeter of Figure 2 = 21 cm
BC=
DE = 7 cm
Tip: Go to the internet and put the topic you are focused more on that you posted in Brainly
Step-by-step explanation:
Try it to give you some help