Answer:
[tex]n = 162[/tex]
Step-by-step explanation:
Given
[tex]6\sqrt{2187[/tex]
Required
Determine the order of the surd
If a surd is represented as [tex]n\sqrt{r[/tex], then the order of the surd is [tex]n[/tex]
[tex]6\sqrt{2187[/tex]
Express 2187 as [tex]3^6 * 3[/tex]
[tex]6\sqrt{2187} = 6\sqrt{3^6 * 3}[/tex]
Split the surd
[tex]6\sqrt{2187} = 6\sqrt{3^6} * \sqrt{3}[/tex]
Apply the following law of indices:
[tex]\sqrt{a} = a^{\frac{1}{2}}[/tex]
The expression becomes:
[tex]6\sqrt{2187} = 6 * 3^{\frac{6}{2}} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 3^{3} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 27 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 \sqrt{3}[/tex]
By comparing [tex]162 \sqrt{3}[/tex] to [tex]n\sqrt{r[/tex], we can say that:
[tex]n = 162[/tex]
[tex]r = 3[/tex]
Conclusively, the order of the surd is 162
Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.
Answer:
x + y = 7
2.5x + 3y = 20
Step-by-step explanation:
cherries = $2.5 per pound
mangoes = $3 per pound
7 pounds of cherries & mangoes for $20
unkown x number of pounds in cherries
unknown y number of pounds in mangoes
x + y = 7
2.5x + 3y = 20
If f(x)=|x+7|, find f(−12).
−19
−5
5
19
Answer:
5
Step-by-step explanation:
insert f(-12) for f(x) and solve
f(-12)=|-12+7|
add -12 and 7
f(-12)=|-5|
absolute value makes it positive
f(-12)=5
If f(x)=|x+7|, the value of f(-12)=5
Given :
the function f(x)=|x+7|. Lets find out f(-12)
f(x) is an absolute function . Absolute function always gives us positive value .
for example |-6|=6
In f(-12) the value of x is -12
To find f(-12) we replace x with -12 in f(x).
[tex]f(x)=|x+7|\\f(-12)=|-12+7|\\f(-12)=|-5|\\f(-12)=5[/tex]
so, we got f(-12)=5
The answer is 5
Learn more : brainly.com/question/19661937
What is the measure of A?
3. Two sides of a triangle measure 17 inches
and 9 inches. Which cannot be the length
of the remaining side?
A. 21
B. 26
C. 9
D. 15
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 35%. Find the selling price.
The selling price was s (Round to the nearest dollar as needed.)
Answer:
30.8 I believe is your answer
Step-by-step explanation:
ldentifying Slope and y-Intercept of a Line
y
ldentity the slopo and y-intercept of each linoar function's eqution
x+3
slope -3, y-intercept at
V1- 3x
X-3
V 3-1
slope
1: y-intercept at-3
slope 1:y-intercept at 3
slope
3. y-intercept at -1
D ntuO
Done
Answer:
i think questions no 3 is the answer of this question
Just read and answer me
Answer:
the picture isnt showing up on mines
Help!! 10 pts and brainliest!
Answer:
0.75
Step-by-step explanation:
So A scale factors B by 0.75
10*75% = x
x is 7.5
Hope this helps plz hit the crown :D
Three vertices of parallelogram DEFG are
D(0, 2), E(-1, 5), and G (4, 0). Find
the coordinates of F.
Answer:
F(3,3)
Step-by-step explanation:
The coordinate of F is (3, 3).
GivenThree vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).
What is the formula to find the midpoints?Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}[/tex]
Let (x, y) = coordinates of vertex F.
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of EG
Then,
The midpoint of D(0, 2) and F(x, y) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}[/tex]
The midpoint of E(-1, 5) and G(4, 0) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}[/tex]
Comparing the equation;
[tex]\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3[/tex]
[tex]\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3[/tex]
Hence, the coordinate of F is (3, 3).
To know more about Midpoints click the link given below.
https://brainly.com/question/2994861
Choose the prime number. 25, 27, 31, 32, 44, 45
Answer:
the prime number is 31
Step-by-step explanation:
hi I got it right
what is the x intercept of the line represented by the equation below 3x+6y=30
Answer:
(10,0)
Step-by-step explanation:
3x+6y=30
3x+6(0)=30
3x=30
x=10
Answer:
hmmm? well I guess I can solve for x in relation to y and vice versa
but to actually solve for x and y you will need another equation of x and y
3x=30+6y
x=10+2y=2y+10
-6y=30-3x
-2y=10-x
2y=-10+x=x-10
y=(1/2)x-5
well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of
please help!!!!!!!!!
Answer:
Using only dilation
Step-by-step explanation:
This is because dilation is to make bigger or smaller.
Answer:
c
Step-by-step explanation:
dilation is when you shrink the square, but maintain similarity between the four side lengths. Theoretically, you can shrink square EFGH to the size of ABCD
PLEASE HELPP AND SHOW WORK
Answer:
x = 25
Step-by-step explanation:
From the picture attached,
ΔABC and ΔADE are the similar triangles.
Therefore, their corresponding sides will be in the same ratio.
[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]
[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]
And AB = AD + DB
= 2(AD) [Since, AD = DB]
By substituting these values,
[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]
2 = [tex]\frac{34}{x-8}[/tex]
x - 8 = [tex]\frac{34}{2}[/tex]
x - 8 = 17
x = 17 + 8
x = 25
Help it's timed! I’m gunna give Brainliest
Answer:
Step-by-step explanation:
second one
Answer:
middle table
Step-by-step explanation:
The middle table has the same set of ordered pairs as the given set.
In order for the parallelogram to be a square, x=?
Answer:
x=7 Thx pls mark as brainliest
Step-by-step explanation:
In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.
For this square to be a parallelogram, all
4
angles need to be
90
º
. This will give us to the two sets of parallel sides.
Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to
90
.
can someone help me with this?
Answer:
A'(-2,0) B'(-3,5) C'(0,4)
Step-by-step explanation:
all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.
Answer:
A. (-2,0)
B. (-3,5)
C. (0,4)
If BC
is the image of XY
after a rotation about the origin, then what is always true about BC
?
A
BC
is a vertical segment.
B
BC
is a horizontal segment.
C
BC
is in the same quadrant as XY
.
D
The length of BC
is the same as XY
.
Answer:
Step-by-step explanation: a
Carter has $105 to buy a cake and pizza for his cousin's birthday party. He knows he needs to set aside $25 for the cake, and the rest of the money he can spend on pizzas. Each pizza costs $9.25. How many pizzas can Carter afford to buy? Use the inequality 9.25x + 25 ≤ 105
Answer:
8
Step-by-step explanation:
Here, we want to use the inequality to know the number of pizza that can be bought
We simply proceed to solve the inequality recently and we have the following;
9.25x + 25 ≤ 105
9.25x ≤ 105-25
9.25x ≤ 80
x ≤ 80/9
x ≤ 8.65
Since we cannot have fractional pizzas, what he can afford is rather written as 8
Simplify the expression and enter your answer below.
(15^1/5)^5
Answer:
15^1 or just 15
Step-by-step explanation:
(15^1/5)^5
If there is a parenthesees seperating powers you can times the two numbers.
So you take 1/5 and times by 5
After this you get 15^1 and that would be 15
Which of the following terminating decimals is equivalent to StartFraction 3 over 8 EndFraction?
0.250
0.375
0.380
0.830
Given:
The fraction value is [tex]\dfrac{3}{8}[/tex].
To find:
The terminating decimal which is equivalent to the given fraction value.
Solution:
We have,
[tex]\dfrac{3}{8}[/tex]
Multiply and divide the numerator and denominator by 1000.
[tex]=\dfrac{3}{8}\times \dfrac{1000}{1000}[/tex]
It can be written as
[tex]=\dfrac{3000}{8}\times \dfrac{1}{1000}[/tex]
[tex]=375\times \dfrac{1}{1000}[/tex]
[tex]=\dfrac{375}{1000}[/tex]
[tex]=0.375[/tex]
Therefore, the correct option is B.
Answer:
0.375
Step-by-step explanation:
ya
Plz help. Will give brainliest for the best answer
Answer:
17.3
Step-by-step explanation:
You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.
Given the equation: y=2x-5 , is your y-intercept below or
above the x-axis?
Answer:
Below
Step-by-step explanation:
The equation for slopes are y=mx+b. m = slope, and b = y-intercept.
Since b is negative the y-intercept will be below the x-axis.
Simplify.
34−4x+12x−12+12x
Enter your answer in the box.
Do not use decimals in your answer.
Answer:
22 - 28x
Step-by-step explanation:
34−4x+12x−12+12x
you wanna combine like terms
34 - 16x + 12 + 12x
34 - 28x + 12
22 - 28x
Find the next three terms:
5, 8, 11, 14...
Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
what is 25% more than 6 feet
Answer:
7.5 I guess?
Step-by-step explanation:
??
Step-by-step explanation:
l dont understand this can you explain
What is the slope of 7,-2 and -3,3
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
3-(-2)/ -3-7
5/-10
= -1/2
teddy is skiing down a hill from the top to the bottom. the distance from the top of the hill to the bottom is 565 yards. how far will he have to ski before he reaches the midpoint of the hill
Answer:
282.5 yards.
Step-by-step explanation:
565 divided by 2 is 282.5.
Need help
Question in the screenshot below
NO spam
Please show your work
======================================================
Work Shown:
[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]
[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proportionality).
y =25x, a = 5x + 5, m = 105.25n
Answer:
y = 25·x shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship
m = 105.25·n shows a proportional relationship
Step-by-step explanation:
An equation that shows a proportional relationship is of the form, y = kx
Where;
k = The constant of proportionality = y/x
Therefore, the equation, y = 25·x shows a proportional relationship
The constant of proportionality = k = y/x = 25
Similarly, the equation m = 105.25·n shows a proportional relationship
The constant of proportionality = k = m/n = 105.25
When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship
The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.
Therefore;
y = 25·x shows a proportional relationship
m = 105.25·n shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship.
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?