A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y
Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Answer:
5(x + y) + 6(x − y) = 11x − y
(5x − 3y) − x + 3x − 5y = 7x − 8y
x − 4x + 6y + (14x − 5y) = 11x + y
3x + 3y + 2(2x − y) = 7x + y
and there is no match for 4(x + y) − 3(x + y)
Step-by-step explanation:
hope this helps :)
question: if angle 1 measure 120 degrees what other angles would have the same 120 degrees?
Answer:
4,5, and 8
Step-by-step explanation:
corresponding angles
Answer:
Angle 4 coz vertical angle of angle 1
Angle 5 coz corresponding angle
Angle 8 coz vertical angle of angle 5
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!
Answer: C) 4955.30
Step-by-step explanation:
Where: A = P(1 + r/n)nt
A= 4000 (1+0.055/1)1*4
A= 4000 x (1.055)^4
A= 4955.30
The sum of two numbers is 58. Their difference is 12. Find the numbers.
Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°
Answer:
C) 108°
Step-by-step explanation:
72°+k°=180° (straight line)
Subtract 72° from both sides
k°=108°
Our answer is C)108°.
Value of k = 108°
The correct option is C.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In a triangle,
Interior angles are
A = 72°,
B = 83° and
C = 25°
exterior angle A = k°
Exterior angle A = Interior angle B + Interior angle C
k = 83° + 25°
k = 108°
Hence, 108° is the value of k.
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which graph represents the function? NEED ANSWER ASAP 20 POINTS!!
Answer:
oof i have no clue
Step-by-step explanation:
sorry never learned this type of graphs good luck tho
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/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.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
What is the simplified form of the expression? 6/√5−√2
Answer:
The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]
with no square roots in the denominator
Step-by-step explanation:
We are considering the expression [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex] which I believe is what you wanted to type in your question.
The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).
We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:
[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]
where we find all square roots eliminated from the denominator
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.
Answer:
Percent increase : 20%
Step-by-step explanation: First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
4,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
simplify 1/9 - 1/x over 1/81 - 1/x^2
Answer:
9x over x+9
Step-by-step explanation:
PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!
A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu
Answer:
Step-by-step explanation:
9.72*400
= 3888 miles
Inform me if I am right
Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?
Answer:
314 ft²
Step-by-step explanation:
3.14(10)²
(3.14)(100)
314
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $27 each week. How much is my brother's allowance each week? A. $4.50 B. $9 C. $18 D. $27
Answer:
B
Step-by-step explanation:
Brother= 9*2=18
Me= 9
B+M= 18+9= 27
Answer:
C. $18
Step-by-step explanation:
The ratio between brother and her is 2:1. Therefore, there are 3 parts. $27/3 = $9. Thus, her brother gets 2*$9 = $18 and she gets 1*$9 = $9
I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answer:
−2 − x
Step-by-step explanation:
Answer:
-2-x
Step-by-step explanation:
distribute the the like terms and separate the problem then solve it.
Which number produces a rational number when multiplied by 1/5 ?
Answer:
D. -2/3
Step-by-step explanation:
A rational number can be shown with a fraction and that's the only fraction in the answer choices
21
*Note: Picture not drawn to
If w = 4 in, I = 6 in, sı = 16.49 in, and s2 = 17.09 in, what is the surface area
A. 430.6 in2
B.
334.6 in 2
C.
491.76 in 2
• D.
369.44 in 2
Poset
Subm
Answer: gradpoint “b”
Step-by-step explanation:
For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .
A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19
Answer:
the answer is B.
4x^3+x^2-5x-5
Step-by-step explanation:
Simplify x^2-9/x^2+x-12
Answer: \frac{x+3}{x+4}
Step-by-step explanation:
\frac{x^2-9}{x^2+x-12}
\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}
Answer: x⁴+x³-12x²-9/x²
Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to nearest while degree
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
robert wants to put lights around the front of his house the house is 12 yards long and 7 yards high how many feet of lights does he need?
Answer:
19 lights
Step-by-step explanation:
I think so .
Thank you
Answer:
114 Lights
Step-by-step explanation:
Find the discriminant: *
7x2 – 5 = 2x + 9x2
Answer:
-36
Step-by-step explanation:
You have to rearrange the quadratic into an equation where one side is zero.
This example works by subtracting 7x^2 from both sides leaving
-5 = 9x^2 - 7x^2 + 2x
-5 = 2x^2 + 2x
Now add 5 to both sides
-5 + 5 = 2x^2 + 2x + 5
0 = 2x^2 + 2x + 5
Now the equation you gave is in the form of a quadratic. The discriminate is found from
a = 2
b = 2
c = 5
b^2 - 4ac is the discriminate
2^2 - 4(2)(5)
4 - 40
Discrimate = 4 - 40 = - 36
What addition expression is shown on the
number line?
8
+
?
15
What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:
Answer:1 23/28
Step-by-step explanation:
17/3/3 1/9
17/3/28/9
51/28
1 23/28
Solve the equation x + 7 = 12
Answer:
5
Step-by-step explanation:
x=12-7
x = 5
Answer:
x=5
Step-by-step explanation:
x+7=12
If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.
x+7-7=12-7
x=5
Hope this helps!
The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?
Answer:
yes of course it is correct good job
Answer:
yes your answer is correct
Find the infinite geometric sum of 4+2.4+1.44+...
Answer:
4+2.4=6.4+1.44=7.84
The infinite geometric sum of 4+2.4+1.44+... will be 10.
What is the common ratio?At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.
It is given that, the sequence is 4+2.4+1.44+...
The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is obtained that the common ratio is,
r=2.4/4
r=0.6
The Sum of an infinite geometric sequence is,
S = a / (1-r)
S=4 / (1-0.6)
S=10
Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.
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