Answer and Step-by-step explanation:
Let us assume the number of calls be x
So
For Plan 1
Total monthly charges is $24 for unlimited calls
For Plan 2
There is a charge of $16 and $0.04 per call
We can write as
= 0.04x + $16
a) Now the inequality equation is
0.04x + $16 > $24
0.04x > $8
x > 200
b) Now if there are more than 200 calls than Plan 1 is more economical as compared with plan 2
Salim and Anna met when they were in first grade, and they have been best friends for 10 years. Which part of this sentence is a clause?
Here, we are required to identify which part of the sentence is a clause .
The clause in the sentence is "Salim and Anna met when they were in first grade"
First, we must know that a clause is simply defined as a group of words containing a subject and predicate and functions as a part of a complex or compound sentence.
The sentence "Salim and Anna met when they were in first grade, and they have been best friends for 10 years." is a compound sentence.
And, the "Salim and Anna met when they were in first grade" part of the sentence is a clause as it has a subject which is "Salim and Anna" and a predicate which is the rest of the sentence i.e "met when they were in first grade"
The part of the sentence which is a clause is Salim and Anna met when they were in first grade
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Answer: A
Step-by-step explanation:
I got it correct..
Which of the following lists is ordered from least to greatest? −1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0, ,
Answer: letter B. -2,-1.5,0
Step-by-step explanation: hope it helps
The order from least to greatest are;
⇒ -2, -2, -2, -2, -1.5, -1.5, -1.5, 0, 0, 0, 0, |-1.5|
Here,
The list of ordered pair are;
−1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0, ,
We have to arrange it from least to greatest.
What is Modulus function?
The modulus function give the absolute value of a number irrespective of the number being positive or negative.
Now,
The list of ordered pair are;
−1.5, −2, 0, , −2, −1.5, 0, , |−1.5|, −2, 0, , −2, −1.5, 0.
Since, |-1.5| = 1.5
And, -2 < -1.5
So, The order from least to greatest are;
⇒ -2, -2, -2, -2, -1.5, -1.5, -1.5, 0, 0, 0, 0, |-1.5|
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Students are playing a game similar to blackjack (with a standard 52 card deck)- trying to get as close to 21 points without going over. The ace is only worth 1 point and each face card is worth 10 points, the remaining cards have face value. Player A draws a eight and a nine. Player B draws a four and a jack. If Player A next draws a two, what is the probability of Player B winning the round?
For a parade, attendance was rounded as 10,000 to the nearest hundred. What was the
greatest and least number of people that could have attended the parade? Explain your
answer.
Answer:
The least is 9950 and the largest is 10049 people
Step-by-step explanation:
If the number is rounded to the nearest hundred, the smallest number of people that could have attended the parade is 9950 because, rounding up the number 9950 to the nearest hundred would give 10000. If the number 9950 is decreased by 1 (9949), and rounded up to nearest hundred you won't get 10000. Hence the smallest number of people is 9950
While the largest number of people is 10049. 10049 to the nearest hundred is 10000. A further increase to the number 10049 would give a number greater than 10000 when rounded to nearest hundred.
[tex]x2 = \frac{9}{256} [/tex]
I don't understand this at all
It is an equation, telling you that left side of = is same as right side and asking you to solve it (figure out the x).
[tex]x^2=\frac{9}{256}[/tex]
Apply square root on both sides of the equation to get rid of power on x.
[tex]x=\pm\sqrt{\frac{9}{256}}[/tex]
Now simplity the square root.
[tex]x=\pm\frac{\sqrt{9}}{\sqrt{256}}=\boxed{\pm\frac{9}{16}}[/tex]
Hope this helps.
What is 10a - 5b if a = 25 and b = 3
Answer:
[tex]\boxed{235}[/tex]
Step-by-step explanation:
Hey there!
Well given that,
a = 25
b = 3
10(25) - 5(3)
250 - 15
= 235
Hope this helps :)
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: 235.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression:
10a - 5b = 10(25) - 5(3).
Now we Multiply 10 and 25 to get 250.
250 − 5 × 3 = 235
Multiply 5 and 3 to get 15.
250 − 15 = 235
Subtract 15 from 250 to get, you guessed it, 235!A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answer:
The taller building is the second building which is the apartment building on the left with an height of 58.4m
Step-by-step explanation:
This is a Trigonometric question. We solve this using the Tangent formula
tan θ = Opposite side/Adjacent side
We are given 2 buildings
Building 1
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 40°
Distance from the base of the building = Adjacent = 56m
Height of the building = Opposite side = unknown
tan 40 = 0pposite/56m
Opposite = tan 40 × 56m
Opposite = 46.989579346m
Approximately = 47m
Height of Building 1 = 47m
Building 2
tan θ = Opposite side/Adjacent side
θ = Angle of Elevation = 50°
Distance from the base of the building = Adjacent = 49m
Height of the building = Opposite side = unknown
tan 50 = 0pposite/49m
Opposite = tan 50 × 49m
Opposite = 58.395926037m
Approximately = 58.4m
Height of Building 2 = 58.4m
The taller building is the second building which is the apartment building on the left with an height of 58.4m
a + b =16
solve for A
What is the missing value in x2y8 · x3y? = x5y5?
Answer:
-3
Step-by-step explanation:
To find:
The value of '?' in the following expression:
[tex]x^2y^8.x^3y^? = x^5y^5[/tex]
Solution:
First of all, let us have a look at a few rules of the exponents:
[tex]1.\ a^b.a^c=a^{b+c}[/tex]
[tex]2.\ a^b.a^{-c}=a^{b-c}[/tex]
Let us apply these rules and try to find out the missing value ('?') in the given expression.
Left Hand Side (LHS):
[tex]x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}[/tex]
Now, let us compare the LHS with RHS, we get:
[tex]x^{5}y^{8+?} = x^{5}y^{5}[/tex]
Dividing with [tex]x^5[/tex] on both sides:
[tex]y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3[/tex]
Therefore, the missing value in the expression is -3.
Answer:
-3
Rules of the exponents power:
1. a^b * a^c = a^(b+c)
2. a^b * a^(-c) = a^(b-c)
Applying these rules on Left Hand Side of the expression given:
= x2y8 * x3y?
= x2x3 * y8y?
= x^(2 + 3) * y^(8 + ?)
Right hand side of the expression given:
= x5y5
Comparing the LHS and RHS, we get
x5y^(8 + ?) = x5y5
Dividing with x5 on both sides:
y^(8 + ?) = y5
8 + ? = 5
? = 5 - 8
? = -3
Therefore, the missing value in the expression is -3.
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Find the LCM of the given set of counting numbers.
4, 30
Answer:
2, 15
Step-by-step explanation:
LCM= Lowest Common Denominator
4, 30 divided by 2 is the lowest because you cant do 3 because ti wouldn't work for (4) and it wouldn't be 4 because it would make 30 into 7.5 which is not right
so the answer is 2, 15
4+7x=7(x+1)
Find each solutions please help
Answer:
no solution
Step-by-step explanation:
Given
4 + 7x = 7(x + 1) ← distribute
4 + 7x = 7x + 7 ( subtract 4 from both sides )
7x = 7x + 3 ( subtract 7x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
The product of two irrational numbers is
rational.
How to calculate percentage?
u hav egiven someone discount o f5% total is 580. 580×5÷100=29
580-29=551
How far is a chord of length 8 cm from the centre of a circle of radius 5 cm
OB = 3 cm
Step-by-step explanation:AO = radius = 5 cm
AB = 8cm/2 = 4 cm
Pythagora
OB² = AO² - AB²
= (5cm)² - (4cm)²
= 25cm² - 16cm²
= 9 cm²
OB = √9cm²
= 3 cm
Question is below PLEASE HURRY I'M DESPERATE
Answer:
a) 15.5 cm
b) 37.2 cm
Step-by-step explanation:
For part a you would write 4(x+1) because perimeter is adding the sides and all sides of a square are equal. then you would set that equal to 66 and get 4(x+1)=66 and then distribute the 4 and get 4x+4=66 and then subtract the 4 from 66 and get 4x=62. Then you divide 62 by 4 and get 15.5.
For part b you do essentially the same thing but set it equal to 152.8 and get 4(x+1)=152.8 and then distribute the 4 to get 4x+4=152.8 then subtract the 4 and get 148.8 and then divide that by 4 and get 37.2.
Answer:
Step-by-step explanation:
a) Length = (x +1) cm
Perimeter of square = 66 cm
4 * length = 66
4* (x +1) = 66
Divide both sides by 4
[tex]\frac{4*(x +1)}{4}=\frac{66}{4}[/tex]
x + 1 = 16.5
Subtract 1 from both sides,
x = 16.5 -1
x = 15.5 cm
b) Length = (x +1) cm
Perimeter of square = 152.8 cm
4 * length = 152.8
4* (x +1) = 152.8
Divide both sides by 4
[tex]\frac{4*(x +1)}{4}=\frac{152.8}{4}[/tex]
x + 1 = 38.2
Subtract 1 from both sides,
x = 38.2 -1
x = 37.2 cm
What is the domain of (g/f)
Answer:
The denominator of [tex] \frac{g}{h} [/tex] is h and Numerator is g.
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.
PT is given as 5x + 2,
TQ = 7x - 6
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Solve for x
[tex] 5x + 2 - 7x = 7x - 6 - 7x [/tex]
[tex] -2x + 2 = -6 [/tex]
[tex] -2x + 2 - 2 = -6 - 2 [/tex]
[tex] -2x = -8 [/tex]
[tex] \frac{-2x}{-2} = \frac{-8}{-2} [/tex]
[tex] x = 4 [/tex]
PT = [tex] 5x + 2 [/tex]
Input the value of x
[tex] PT = 5(4) + 2 = 20 + 2 = 22 [/tex]
Which scenario best matches the graph below?
Answer:
C
Step-by-step explanation:
I might be wrong but the best option I see would be C
Which functions are the same as their inverse functions
Answer:
what functions?
Step-by-step explanation:
Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What percentage of the SAT Math scores are less than one standard deviation above the mean?
Answer:
Step-by-step explanation:
mean µ = 500
standard deviation σ = 100
Required P ( X < µ + σ )
= P ( X < 500 + 100 )
= P ( X < 600 )
= P [Z < (X - µ) / σ ]
= P [Z < (600 - 500) / 100 ]
= P [Z < + 1 ]
= .8413
In terms of percent the probability is 84.13 % .
Out of the 400 students in a final year in secondary school, 300 are offering biology and 190 are offering chemistry. I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry? I) how many students are offering at least one biology and chemistry?
Answer:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
= 160 students
II) how many students are offering at least one biology and chemistry?
= 330 students
Step-by-step explanation:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
Total number of student n ( B ∪ C) = 400
Students offering biology n(B) = 300
Students offering chemistry n(C) = 190
Students not offering biology nor chemistry = 70
Students offering both biology and chemistry n ( B ∩ C) = ??
n ( B ∪ C) - Students neither offering biology nor chemistry = n(B ) + n ( C ) - n ( B ∩ C)
400 - 70 = 300 + 190 - n ( B ∩ C)
330 = 490 - n ( B ∩ C)
n ( B ∩ C) = 490 - 330
n ( B ∩ C) = 160
Therefore, students offering both Biology and Chemistry are 160 students.
II) how many students are offering at least one biology and chemistry?
n(B' ) + n ( C') + n ( B ∩ C)
n(B') = Students offering biology only
= n(B) - n ( B ∩ C)
= 300 - 160 = 140
n(C') = Students offering chemistry only
n(C) - n ( B ∩ C)
= 190 - 160
= 30
(300 - 160) + (190 - 160) + 160
140 + 30 + 160
= 330 students
raise the quotient of 7 and g to the 4th power
Answer:
(7÷g)[tex]^{4}[/tex]
Step-by-step explanation:
The quotient is the answer to a division problem. So the quotient of 7 and g means to divide 7 and g. Then raise that to the 4th power.
A small jar of salsa contains 12 1/2 cup of salsa. A large jar of salsa contains 75 ounces. How many small jars of salsa is equal to one large jar of salsa?
Answer:
6
Step-by-step explanation:
75 divided by 12.5 equals 6 cups of salsa
The value of (9.93).0.984
Answer:
9.77112
Step-by-step explanation:
Given
[tex](9.93).0.984[/tex]
Required
Evaluate
To get the value of the expression, we simply multiply both together as follows; 9.93 * 0.984
First, take note of the decimal places
9.93 = 2 decimal places
0.984 = 3 decimal places
Remove the decimals and multiply the numbers as follows
9 9 3
9 8 4
----------------------
3 9 7 2
7 9 4 4
8 9 3 7
-----------------------------------
9 7 7 1 1 2
Add the decimal places
2 decimal place + 3 decimal places = 5 decimal places
Hence, the result is 9.77112 (5 decimal places)
Solve the following and round to the nearest thousandth.
0.25 (7.5)
What is the prime factorization of 100? 2 × 5 2 × 2 × 5 × 5 2 × 5 × 10 10 × 10
Answer:
2*2*5*5
Step-by-step explanation:
)) Linda and her dad are making rock candy. The first step is to pour sugar into boiling
water. So, Linda opens a 4-cup bag of sugar. Linda's dad pours 3 cups into the water.
()) What fraction of the bag of sugar does Linda's dad pour into the water?
Answer:
umm, 3/4
like
bru
Step-by-step explanation:
The solutions of the equation x2 – 2 = x are ?
Answer: x= 2, -1
Step-by-step explanation:
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
[tex]\Huge \boxed{\mathrm{B.} \ 1+h(x)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The function is odd when f(-x) = -f(x).
1 + h(-x) = 1 + -h(x)
[tex]1 + -(-x)^5 + 12(-x) = 1 + -(-x^5 + 12x)[/tex]
Solving:
[tex]1 + x^5 -12x= 1 + x^5 - 12x[/tex]
[tex]x=x[/tex]
The equation is true.
[tex]\rule[225]{225}{2}[/tex]
I’m not very good at these so someone help me out :,)
Answer:
-4,-1
i have to put 20 character so here is 20 characters
Answer:
( -4, 1 )
Step-by-step explanation:
( 4, 1 ) starts in quadrant 1. ( +, + )
When reflected over the y-axis it moves to quadrant 2. ( -, + )