Answer:
24342.
Step-by-step explanation:
(1 +152 + 5)² + 12 ÷ 2
= 156^2 + 12 / 2
= 24336 + 6
= 24342.
3x-4+3x-8 linear pairs of angles.
Answer:
Step-by-step explanation:
- 36
2 hats, one has 5 red balls and 5 green balls, and the other has 9 red balls and 3 green balls. the probability you drew a green ball, given it was from the second hat?
The probability that we drew a green ball from the second hat is 1/4.
What exactly is probability?Mathematical representations of the likelihood that an event will occur or that a statement is true are dealt with in the area of probability.A number between 0 and 1, where 0 roughly denotes impossibility and 1 roughly denotes certainty, is the probability of an event.Axiomatic, classical, empirical, and subjective are the four most popular approaches to probability.So, the second hat contains 9 red balls and 3 green balls.
P(E) = favourable events / total eventsHere, favourable event is 3 (green balls) and total events is (9 + 3 = 12)Now,
P(E) = favourable events / total eventsP(E) = 3/12P(E) = 1/4Therefore, the probability that we drew a green ball from the second hat is 1/4.
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Given the function f, evaluate f(-3), f(-2), f(-1), and f(0)
After evaluating for the function f, the value of f(-3) = -12, f(-2) = -2, f(-1) = 4, f(0) = −10
What is a function?A function is a specific type of relationship that maps inputs to precisely one output. Consider a function as a machine for useful insight. The domain of the function, which describes the types of input that the machine will accept, states that it will produce one and only one output for each input.
A function's fundamental notation is of the form f( x), where x is the input variable and f is the function's name. "F of X" should be read as this. Any time you see this notation, f(x) generally refers to a function's output, though these letters are subject to change.
We have given the function f, to evaluate f(-3), f(-2), f(-1), and f(0)
[tex]f(x)= \begin{cases}-2 x^2+6 & \text { if } x \leq-1 \\ 7 x-10 & \text { if } x > -1\end{cases}[/tex]
f(-3) = -2x² + 6 (as x < -1)
⇒ -2(-3)² + 6
⇒ -12
f(-2) = -2x² + 6 (as x < -1)
⇒ -2(-2)² + 6
⇒ -2
f(-1) = -2x² + 6 (as x < -1)
⇒ -2(-1)² + 6
⇒ 4
f(0) = 7x - 10 (as x > -1)
⇒ 7(0) - 10
⇒ −10
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please help asap. due monday
[tex]$\frac{4x^2+4x}{2x^2-2} =[/tex]
[tex]$\frac{4x\left(x+1\right)}{2x^2-2} =[/tex]
[tex]$\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =[/tex]
[tex]$\frac{4x}{2\left(x-1\right)}=[/tex]
[tex]$\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}[/tex]
Answer:
4
Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\
4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.
NEED HELP ASAP
-3/4(5p-12)+2(8-1/4p)
thanks
after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.
We are given the expression:
- 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p)
We need to simplify and solve the expression.
First we will solve the brackets.
- 15 / 4 p + 9 + 16 - 2 / 4 p
Now we will combine the like terms, so, we get that:
= 27 - 17 / 4 p
Therefore, after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.
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Simplify 6.6 ÷ 0.12
Answer:5
Expand 0.6/0.12
by multiplying both numerator and the denominator by 100.
60/12
Divide 60 by 12 to get 5.
5
Answer:
55
Step-by-step explanation:
6.6/12 = 55
in a 7 game series played with two teams, the first team to win a total of 4 games is the winner. suppose that each game played is independently won by team a with probability p
Each game played is independently won by team A with probability p, then team A will surely win the first game.
Given that one team leads 3 to 0, this would mean that in 3 trials, team A won all three games.
The probability of winning 3 out of 3 for team A is
P(A) = P3
The probability of winning 3 out of 3 for team B is
P(B) = (1-P)3
It is given that one of these two scenarios is the case, then the probability it is team A is:
P3/ (P3 + (1-P)3)
The probability that team A would win 0 of the next 4 games is
(1-P)4,
this means the probability that team A wins the series if they are up 3 to 0 is
1 - ( 1 - P ) 4
Similarly, if team A is to win every game, it is surely that they will win the first game.
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2. two brands of canned dog food are on sale. assume that the cans are the same size. brand a costs $13.60 for eight cans and brand b costs $8.75 for fi ve cans. explain how to fi nd the unit price for brands a and b. explain how unit prices help you compare the cost of dog food.
Answer:
Brand a price is less than Brand b.
Step-by-step explanation:
given-
two brands of canned dog food are on sale. assume that the cans are the same size. brand a costs $13.60 for eight cans and brand b costs $8.75 for five cans
first-brand a costs $13.60 for eight cans
second- brand b costs $8.75 for five cans
solve first
for 8 cans-->$13.60
then,1 can -->$13.60/8
=>$1.7
in similar manner we solve for second
for 5 cans-->$8.75
then,1 can -->$8.75/5
=>$1.75
Brand a price is less than Brand b.
Unit pricing helps consumers compare the prices of packaged goods when those goods aren't sold in equal quantities. It's unit pricing that allows, for example, a shopper to tell at a glance which is the better buy: a 20-pound bag of dog food that sells for $13.95 or a 15-pound bag that sells for $10.69.
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I need help its confusing because of the domain and dont know how how put it in to the question
Answer:
its all real numbers i took the quiz before
Step-by-step explanation:
if 2x²- (b-4)x -4(b+2)=0 has equal Roots, find the possible values of b
IF THE EQUATION HAS EQUAL ROOTS IT MEANS
[tex] {b}^{2} - 4ac = 0[/tex]
THAT IS THE RULE.
WHERE b is the coefficient of x
a si the coefficient of
[tex] {x}^{2} [/tex]
and c is the constant number.
IF QE CHECK IN THE GIVEN EQUATION WE WILL FIND THAT a=2
b= -(b-4)
c= -4(b+2)
[tex]( - (b - 4))^{2} - 4(2)( - 4(b + 2)) = 0 \\ (4 - b ) ^{2} - 8( - 4b - 8) = 0 \\ (4 - b )(4 -b ) + 32b + 64 = 0 \\ 16 - 4b - 4b + {b }^{2} + 32b + 64 = 0 \\ {b }^{2} + 24b + 80 = 0 \\ (b + 20)(b + 4) = 0 \\ b + 20 = 0 \\ \\ \\ orb \\ \\ b + 4 = 0 \\ b = -2 0 \\ \\ \\ or \\ b = - 4[/tex]
ATTACHED IS THE SOLUTION
Choose the correct slope for the line that passes through the following points (7,6) and (6,5)
Answer: m = 1
Step-by-step explanation
First, you must fill in the slope formula:
(7,6) first ordered pair
(6,5) second ordered pair
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{6-5}{7-6}[/tex] = [tex]\frac{1}{1}[/tex]
The slope is 1.
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.
f(n)=(2n-2)+2;52
The position of the given term is mathematically given as
n = 24
This is further explained below.
What is the position of the given term?A function that goes from one set to another gives each element of the first set precisely one element of the second set.
This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
Generally, the equation for Function the is mathematically given as
f(n) = 2.5 n - 16
Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":
52=(2n-2)+2
52=2n-2+2
52 = 2n-4
n = (52-4)/2
n = 24
In conclusion, the position of the given term.
n = 24
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Find the angles of this shape
Answer:
x = 100° , y = 75° , z = 135°
Step-by-step explanation:
x and 80° are a linear pair and sum to 180° , that is
x + 80° = 180° ( subtract 80° from both sides )
x = 100°
y and 105° are a linear pair and sum to 180° , then
y + 105° = 180° ( subtract 105° from both sides )
y = 75°
the sum of the interior angles of a polygon is
sum = 180° ( n - 2 ) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540°
z + x + 90° + 110° + 105° = 540°
z + 100° + 90° + 110° + 105° = 540°
z + 405° = 540° ( subtract 405° from both sides )
z = 135°
What is the surface area of the cylinder with height 3 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer:
3x8x2xπ ≈ 150.796m²
Step-by-step explanation:
when unfolded the cylinder is a rectangle of area equal to:
HxW ; H=height W=width
W is equal to the primer of the circle and the formula for that is:
2xπxr
substituting you get the area of a cylinder as follows:
Hxrx2xπ
What’s the answers to these
Evaluating the algebraic expressions for the values given, we have:
a. -7
b. -10.
How to Evaluate an Algebraic Expression?To evaluate and algebraic expression, plug in the value of the variable given and solve accordingly.
a. Given the algebraic expression, xy + 5.
If x = 2, and y = -6, then substitute x = 2 and y = -6 to evaluate the algebraic expression:
xy + 5
(2)(-6) + 5 [substitution]
= -12 + 5
= -7
b. Given the algebraic expression, x/y - 12, if x = 22 and y = 11, then substitute x = 22 and y = 11 into the expression and evaluate:
x/y - 12
22/11 - 12 [substitution]
= 2 - 12
= -10.
Thus, the values of the expressions when evaluated for the given variables are:
a. -7
b. -10.
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The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Month
1$1375.27
2$953.86
3 $1047.79
The average balance in the bank account is $1,125.64.
What is average?In plain English, an average is a single number chosen to represent a group of numbers; it is typically the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.So, the average balance of the account will be:
Average formula: A = sum of terms/Number of termsFill in the values and solve as follows:
A = sum of terms/Number of termsA = 1375.27 + 953.86 + 1047.79/3A = 1375.27 + 953.86 + 1047.79/3A = 3,376.92/3A = $1,125.64Therefore, the average balance in the bank account is $1,125.64.
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compare these two integers.
Answer:
-4.1 < -√20
Step-by-step explanation:
-√20 = -4.472135954 (-4.47)
-4.4 < -4.47 (-√20)
Graph the function f(x) = 16(1.87)x. Does this function show growth or decay? What is the equation of the asymptote?
Growth; y = −16
Growth; y = 0
Decay; y = −16
Decay; y = 0
What is Asymptote?
The term asymptote means approaching a value or curve arbitrary closely. A line or curve that is asymptotic to given curve is called asymptotic.
Given,
The function f(x) = 16(1.87)x
Now, We know that
If the value of b < 1, it is a decay while if the value of b > 1, then it is growth. Given the exponential equation below;
f(x) = 16(1.87)x
Since, b = 1.87 which is greater than 1, hence it is a growth. Find the graph attached.
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Answer: -16
Step-by-step explanation:
Given 4.05(−15.6), find the product.
−63.18
−11.55
6.32
561.11
Answer:-63.18
Step-by-step explanation:
The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July? ( I need help I'm running out of time!!!)
21 feet
23 feet
8 feet
13 feet
The difference between the depths in February and July is the fourth option that is 13 feet |−13|.
Given that:-
Average of a depth of a local lake = 26 ft represented as |−26|.
Depth of a local lake in February = 5 ft represented as |−5|.
Depth of a local lake in July = 18 ft represented as |−18|.
We have to find the difference between the depths in February and July.
We know that,
Difference between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.
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16, 8, 4, 2...
Generalize the pattern by finding the nth term, beginning with n = 1.
The generalize term of the pattern is aₙ = 16 (1 / 2)ⁿ⁻¹
How to generalize a pattern?The pattern follows a geometric sequence.
The pattern follows a geometric progression.
Therefore, using geometric sequence formula,
aₙ = arⁿ⁻¹where
n = number of termsr = common ratio of the sequence.a = first term of the sequence.Hence,
a = 16
The common ratio is the amount between each number in a geometric sequence. In other words, it is the ratio between two consecutive numbers in the sequence
r = 8 / 16 = 4 / 8 = 2 / 4 = 1 / 2
The generalize pattern of the sequence is as follows:
aₙ = 16 (1 / 2)ⁿ⁻¹
Hence,
aₙ = 16 (1 / 2)ⁿ⁻¹
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Evaluate g(x) = 3x when x= -2,0, and 5.
Answer:
Step-by-step explanation:
g(x)=3x
g(-2)=3(-2)=-6
g(0)=3(0)=0
g(5)=3(5)=15
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1.
How many tablespoons of salt does Debnil have?
The number of tablespoons Debnil has is 2 tablespoons
Number of teaspoons of salt with Debnil = 6
Ratio = 3:1
Ratio: mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
Let x represent the total number of teaspoons and the tablespoons
Therefore,
6 = 3/4x
x = (6*4)/3
x = 8
So, there are a total of 8 spoons
Now, the number of tablespoons is 1/4 of the total
Hence, the number of tablespoons will be 2
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helppppppppppppppppp
Answer:
B.) cylinder
Step-by-step explanation:
2 circles on either side and a rectangle between them
Ricardo is a network administrator for a
large law firm. His annual salary is
$43,450. What is his monthly salary?
Answer: 8690
Step-by-step explanation:
Divide $43450 by the number of months there are in a year (which is 12) and you get the answer
Caroline walks 9 1/2 inches per second. Give each rate in miles per hour. Round to the nearest tenth.
I got 32,400ft/hour. I divided that by 5,280ft because that’s 1 mile and I got 6.47. Rounded and got 6.5. The answer is .5 but I don’t understand how they got it.
9.5 or 9 1/2 inches per second in miles per hour is 0.5 .
What is conversion of units?
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.
What is the conversion factor for inch to mile?
A value in inch when divided by 63360 gives a value in mile.
What is the conversion factor for second to hour?
A value in second when divided by 3600 gives a value in hour.
Given, the speed of Caroline in inches per second = 9 1/2 = 9.5/1 - (i)
Therefore following above literature and dividing numerator by 63360 and denominator by 3600, we get the speed in miles per second.
Thus, required speed = [9.5/63360]/[1/3600) = 0.539 = 0.5
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a company with 200 employees grew in size by 25% between 2005 and 2010. the company grew again by 10% between 2010 and 2015. what was the total number of employees in 2015?
The total number of employees in the company in the year 2015 is 275 employees
Number of employees in the company before increase = 200 employees
Percentage increase in employees between 2005 and 2010 = 25%
Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.
So, the number of employees after the increase = 200+25%of 200
= 200+50 = 250
Percentage increase in employees between 2010 and 2015 = 10%
Number of employees after increase = 250 + 10% of 250
= 250 + 25 = 275 employees
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Which expression is equivalent to (16z - 10) + (2x + 19)? A- 23x B- 18x + 29 C- 14x + 9 D 13x
nswer
Option C is correct
14x + 9
Explanation
e need to simplify the sexpression
16x - 10) + (-2x + 19)
= 16x - 10 - 2x + 19
ollect like terms by bringing terms with x together
= 16x - 2x - 10 + 19
= 14x + 9
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Please answer the question in the photo ( will mark brainliest if correct )
Answer:
Step-by-step explanation:
5u = 180° - ( 120° + 30°) = 180° - 150° = 30°
u = 30° / 5 = 6°
Consider parallelogram EFGH below.
WORTH 50 POINTS!!
As a result, in the parallelogram before, x = 4, Angle E = 104 degrees, and Angle EFH = 32 degrees.
What characteristics do parallelograms have?1. Opposing sides are congruent sides. ...
2. Opposing angles are congruent angles. ...
3. Interior angles that follow one another on the same side are supplementary. ...
4.Each of a parallelogram's diagonals divides it into two congruent triangles. ...
5. The diagonals of a parallelogram split in half.
As a result,
EH and FG's sides are parallel and equal.
so 3x=12
x=4
to determine Angle E
FGH Triangle
Angles FHG + HFG + G add up to 180.
(The total of a triangle's angles is 180)
FHG angle=180-44+104
=32
Angles EFH = FHG (alternate interior angles)
=32
Angle HFG = Angle EHF (alternate interior angles)
=44
Angle E=Angle HGF( opposite angles are equal in a parallelogram)
=104
Therefore the value of x in the given quadrilateral is 4 , the angle E is 104 degree and the value of Angle EFH is 32 degree.
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