Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
What are the coordinates of C?
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.
Answer:
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, AC = 10 foot
Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].
We have to find AB and BC.
[tex]\angle BAC = 72^\circ[/tex]
Using trigonometric functions:
[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]
[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Which of the following expressions divides evenly into the polynomial x2 + 2x - 24?
A. X-2
B. X-6
C. X + 2
D. x + 6
E. X + 4
Answer:
B. X-6 and E. X + 4
Step-by-step explanation:
B. X-6
(-6)^2 + 2(-6) - 24
36 - 12 - 24
36 - 36 = 0
E. X + 4
(4)^2 + 2(4) - 24
16 + 8 - 24
24 - 24 = 0
1. Is the following quadratic equation in standard form?
y = – 3x^2+ 2x - 4
No
Yes
Answer:
Yes this equation is in standard form.
Answer:
yes this equation is in standard form
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer: The lower quartile is 10, the upper quartile is 21, and the median is 17.
Step-by-step explanation:
Answer:
It sould be 5,10,26
Step-by-step explanation:
2÷9/10=
please help thanks
Answer:
0.02 repeating
Step-by-step explanation:
So first we do 2/9 since all the operations are division we solve left to right. We get 0.2 repeating. Then, after that whenever we divide by 10, we shift everything to the right so we end up with :
0.02 repeating.
10. Two sides of a triangle have
the following measures. Find the
range of possible measures for
the third side.
35, 29
1) 7
2) 6
3) 08
4) 9
SHOW WORK: Evaluate f(-2)
f(x)= 3/2x-4
Answer:
f(-2)=-5
Step-by-step explanation:
f(-2) = 3/2(-2) -4
f(-2)= -3-2
f(-2)= -5
Evaluation of f(-2)=-5.
What is the function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
How to solve?
f(x)=3/2(x)-4
f(-2) = 3/2(-2) -4
f(-2)= -3-2
f(-2)= -5
Learn more about Functions:
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Nina recorded collected data on the number of tickets that people had received and how many accidents they had been in. She made a scatterplot of her data. What is the best line of fit for this data? A) y = x - .75 B) y = -x - .75 C) y = 5 7 x + 1 D) y = -( 5 7 x + 1)
Answer:
C
Step-by-step explanation:
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
You invest $5,000.00 with 5% quarterly compounded interest. You add $1,000.00 each year. At the end of five years, you will
have______________.
a
$10,228.50
b
$9,228.50
c
$11,228.50
d
$12,228.50
ASAP
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
Find the midpoint between the points (-6, -2) and (-3, -7)
Answer:
(-4.5, -4.5)
Step-by-step explanation:
To find the midpoint add the x coordinates and divide by 2
(-6+-3)/2 = -9/2 = -4.5
Then add the y coordinates and divide by 2
(-2+-7)/2 = -9/2 = -4.5
14) Simplify. 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Answer:
0
Step-by-step explanation:
To simplify you need to distribute then add like terms.
6(3x-5) + 2(3x-5) - 8(3x-5)
18x - 30 + 6x - 10 - 24x + 40
0x + 0
0
Answer:
6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0
Step-by-step explanation:
The expression is,
→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Now we have to,
→ Simplify the given expression.
Let's simplify the expression,
→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Applying Distributive property:
→ 6(3x) - 6(5) + 2(3x) - 2(5) - 8(3x) - 8(-5)
→ 18x - 30 + 6x - 10 - 24x + 40
Rearranging the expression:
→ 18x + 6x - 24x - 30 - 10 + 40
→ (18 + 6 - 24)x - (30 - 10 + 40)
→ 0x - 0
→ 0 => {final answer}
Therefore, the answer is 0.
What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2
Answer:
5
Step-by-step explanation:
The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Exactly two balls are yellow
Answer:
1/6 is the probability. im pretty sure
How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
Option D.
Step-by-step explanation:
The given parent function is
[tex]f(x)=\dfrac{1}{x}[/tex]
The given function is
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
Using the parent function, the given function can be written as
[tex]g(x)=f(x+4)-6[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=4>0[/tex], it means the graph shifts 4 units left.
[tex]b=-6<0[/tex], it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.
Transformation involves changing the form of a function.
The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).
The functions are given as:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
[tex]f(x)= \frac{1}{x}[/tex]
Start by shifting the function to the left, by 4 units.
This is represented as:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x)= \frac{1}{x + 4}[/tex]
Next, shift the function down, by 6 units.
This is represented as:
[tex](x,y) \to (x,y - 6)[/tex]
So, we have:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
Hence, the true option is (d)
Read more about transformation at:
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Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i
Answer:
C. 27iStep-by-step explanation:
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))^3
= {3(cosπ/6 + isinπ/6)}^3
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
The right answer is 27i
Complete the equation to represent finding x, the greater integer.
x(x – ) = 143
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
Which number in the set {6, 12, 18, 36} satisfies the equation 3x-9=27?
Answer:
12
Step-by-step explanation:
3x-9=27
3x=36
x=12
What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation:
I have a book on this kinda stuff! :D
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation: ED2022
A city has an elevation of –752 feet. Which statement describes the city’s elevation?
–752 above sea level
–752 below sea level
752 above sea level
752 below sea level
Answer:
it is 752 blow sea level
Step-by-step explanation:
just now took it
Answer:
752 below sea level
is the correct answer the other person was right
Step-by-step explanation:
just answered the question
Find the length of DF
Answer:
7x-58
just add all the terms
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
God loves you
X-1/x-1=1 what is the answer????
Answer:
0
Step-by-step explanation:
×-1/×-1=1
×-1=1(×-1)
×-1=×-1
×-×=-1+1
0=0
0
The value of the equation is 1.
The equation given is (x-1)/(x-1) = 1.
To determine the solution, we can simplify the equation by canceling out the common factor (x-1) on both sides:
(x - 1)/(x - 1) = 1
1 = 1
The simplified equation 1 = 1 is always true for any value of x.
Therefore, the original equation is true for all values of x, except when x = 1.
When x = 1, the equation is undefined because the denominator becomes zero, resulting in division by zero.
Hence the value of the equation is 1.
Learn more about equation click;
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Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
help pls!!!!!!!!!!!!
Answer:
w=9z
Step-by-step explanation:
For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!
Answer:
z = (1/9) w or w = 9z
Step-by-step explanation:
w = 18 , z = 2
if relationship is proportional than z = k (constant) *w
2 = k * 18 divide each side by 18
k = 2/18 = 1/9
Can anyone help me with number 1? If you want to you can do all 3
Answer:
1.b = 7500[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Answer:
Number 1 Answer: 1.b = 7500\sqrt{3}
Step-by-step explanation:
Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?
O CDD
O CCD
O DDD
O CCC
==========================================
Explanation:
C and D are inverses of each other. When they multiply together, they will produce the identity matrix I
C*D = I
D*C = I
note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.
--------------------
So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.
This is why the first choice is the answer.
The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C
The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3
Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.
