Answer:
$38.90
Step-by-step explanation:
$2.00 per mile x 18 miles is 36.00 then add the 2.90
Here is the graph of a quadratic function f.
Select all equations that could define the function f.
Answer:
A B and D
Step-by-step explanation:
Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.
The following equations could define the given quadratic function.
1. -1(x-1)²+9
4. -x²+2x+8
6. (x+2)(x-4)
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c.
1. The function -1(x-1)²+9 represents a downward-facing parabola.
The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.
4. The function -x²+2x+8 represents a downward-facing parabola as well.
6. The parabola intersects the x-axis at x = -2 and x = 4.
Hence, the correct answer is options 1, 4, 6.
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Find the common difference of the arithmetic sequence − 19 , − 11 , − 3
Answer:
+ 8
Step-by-step explanation:
This is an arithmetic progression (AP) as there is a common difference between successive terms.
For example, looking at the first two terms,
Difference = 2nd term - 1st term
= -11 -(-19)
= -11 + 19
= +8
To check,
Looking at the second and third terms,
Difference = 3rd term - 2nd term
= -3 -(-11)
= -3 + 11
= +8
Hence, there is a common difference of +8 between consecutive terms, making it an AP.
Anna wants to buy 4 sweaters. The sweater come at a discount rate. If you buy one sweater regular price the other sweater is 40% off. How much percent is off of each sweater?
Answer:
20%------------------------
If you buy a sweater, the second one is at 40% discount.
Divide the discount between the two to get:
40%/2 = 20%You get a discount of 20% for each sweater.
Answer:
Discount percentage = 20%
Step-by-step explanation:
Discount of the sweaters,
→ first sweater = 0%
→ other sweater = 40%
The average discount percent is,
→ (first sweater + other sweater)/2
→ (0% + 40%) ÷ 2
→ (0 + 40)/2
→ 40/2
→ 20% off
Hence, the answer is 20% off.
4. What is the slope-intercept form of 9x + 3y = 15?
Oy=-3x+5
Oy=3x+5
Oy = 3x - 5
Oy=-3x - 5
The slope-intercept form of the equation 9x + 3y = 15 is y = -3x + 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The given equation is 9x + 3y = 15.
Rearranging it to get in slope-intercept form -
⇒ 9x + 3y = 15
⇒ 3y = -9x + 15
Dividing LHS and RHS by 3 -
⇒ y = -3x + 5
Here, the equation is the slope-intercept form y = mx + c.
So, the slope is m = -3 in the equation.
Therefore, the slope-intercept form is y = -3x + 5.
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1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters
and a height of 8.5meters. The priest instructed the layman to cover it from the center with
a white rectangular cloth measuring 4.5 meters long and 4 meters wide. How big was the uncovered backdrop?
A. 26.63 m² B. 18 m²
C. 44.63 m² D. 89.25 m²
------------------------------------
2. A circular portion of a cardboard having 7.6 centimeters radius was being cut out from the entire
squarepiece of a cardboard having a side of 34 centimeters. How big was the remaining piece of
a cardboard?
A.181.37 m² B.974.63 m²
C. 1156 m² D. 219.6 m²
Answer:
#1
Area of triangle backdrop:
A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²Area of the cloth:
A = 4.5*4 = 18 m²Uncovered area:
44.63 - 18 = 26.63 m²Choice A
#2
Area of the cut piece:
A = πr² = 3.14*7.6² = 181.37 cm²Area of the square piece:
A= a² = 34² = 1156 cm²Remaining piece is:
1156 - 181.37 = 974.63 cm²Choice B
-15 POINTS- Find the length of the indicated side of the similar figure X=[?]
GIVING BRANLIEST ! NEED HELP! PLEASE
The probability that a birth will result in twins is 0.017. Assuming independence (perhaps not a valid assumption), what is the probability that out of 120 births in a hospital, there will be exactly 4 sets of twins?
The probability that there will be exactly 4 sets of twins is?
Answer:
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
Step-by-step explanation:
For each birth, there is only two possible outcomes. Either it results in twins, or it does not. The probability of a birth resulting in twins is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a birth will result in twins is 0.017.
This means that [tex]p = 0.017[/tex]
120 births:
This means that [tex]n = 120[/tex]
The probability that there will be exactly 4 sets of twins is?
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{120,4}.(0.017)^{4}.(0.983)^{116} = 0.0939[/tex]
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
It takes 7 hours for 12 men to paint a room.
How many men would be needed to paint the room in 3 hours?
Answer: 28 men would be needed to paint the room
q=number of men for 3 hours
q x 1/84 x 3 = 1
q x 1/28 = 28
pls help i’ll give brainliest
Answer:
94
Step-by-step explanation:
So
376= x + 3x
Where x is the hambugers and 3 x is cheeseburgers
so it is the same as
376= 4x
divide both sides by 4
x= 94
we can check by tripling x = 283 and adding the hamburgers we found to be 94 which gives us 376
The function f is defined by f(x) = 2x2 -7.
Find f(5x).
Answer:
10fx-7
Step-by-step explanation:
(:
Use circle V to find the arc measure for arc PSU.
Answer:
arcPSU = 224degrees
Step-by-step explanation:
From the given diagram;
arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU
Given
arcPQ = arcTU
arcQR = arcRS = 37
arcAST = 90
Since 136 + arcPQ + 37+37+90+arcTU = 360
136+2arcPQ+ 37+37+90= 360
2arcPQ+300 = 360
2arcPQ = 360 - 300
2arcPQ = 60
arcPQ = 60/2
arcPQ = 30degrees
Substitute into the above expression
arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU
arcPSU = 360 - arcPU
arcPSU = 360 - 136
arcPSU = 224degrees
Sarah completes 1/6 of a project in 1/4 of an hour. At this rate, how much of
the project does Sarah complete per hour? *
Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71,
$3.62, $3.93, and $3.83, respectively, but today each gas station raised it:
price by $0.08. What is today's mean price of a gallon of gas at the five
stations?
O A. $3.81
O B. $3.65
O C. $3.89
O D. $3.73
Answer:
c
Step-by-step explanation:
The mean price of a gallon of gas at the five stations is $3.81. Therefore, option A is the correct answer.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71, $3.62, $3.93, and $3.83, respectively.
Today each gas station raised its price by $0.08
Now, mean =(3.56+3.71+3.62+3.93+3.83+5×0.08)/5
= (18.65+0.4)/5
= 19.05/5
= $3.81
Therefore, option A is the correct answer.
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The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
Answer:
[tex]x^{2} - 6x = -5[/tex]
x = 1 or x = 5
Step-by-step explanation:
Let x = the no.
[tex]x^{2} - 6x = -5\\x^{2} - 6x + 5 = 0[/tex]
(x - 1)(x - 5) = 0
x = 1 or x = 5
Please help
Match the items.
a. Multiplicative Inverse
b. Additive Inverse
c. Commutative Property of Multiplication
d. Distributive Property
e. Additive Identity Property
f. Associative Property of Addition
1. 5.6=6-5
2. -8+0= -8
3. (3+5) +9=3+ (5+9)
4. 5.1=1
5. 7+(-7)=0
6. 5(x−4)=5x−20
The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 , e - 2 , f - 3
What is a number ?
number is used to represent the quantity of number and it is even used for calculations.
a) Multiplicative inverse
if the product the given number and reciprocal of the given number is 1.
so,
5 * 1/5 = 1
as LHS = 5 * 1/5 = 1
RHS = 1
Hence , a - 4
b ) Additive inverse
if the summation of the given number and opposite sign of given number results 0 .
7 + (-7) = 0
LHS = 7+ (-7) = 0
RHS = 0
hence , b - 5
c ) Commutative Property of Multiplication
if a.b = b.a hence it is in Commutative Property of Multiplication .
so, 5.6 = 6.5
hence , c - 1
d) Distributive property
if a ( b + c ) = a*b + a*c than it is in distributive property .
hence , d - 6
e) Additive Identity Property
if a+ 0 = a hence it is Additive Identity Property
so , b - 2
f ) Associative Property of Addition
if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition
so , f - 3.
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2-3(3x+1)=2(7-6x) - SOLVE THE FOLLOWING EQUATION
Answer: X=5
Explaination: Did the problem.
-4/3 x + (-1) =y what is the slope of this line?
Answer: y= -4 divided by 3 • x (-1)
Step-by-step explanation:
✨photo math✨
the students in Mr Marcos art class use six jars of paint for their project each student uses 2/3 jars of paint how many students were in Mr Marco's class
The number of students that were in Mr Marco's class will be 9 students
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Here, the students in Mr Marcos art class use six jars of paint for their project each student uses 2/3 jars of paint
The number of students that were in Mr Marco's class will be:
= 6 ÷ 2/3
= 6 × 3/2
= 9 students
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Solve systems of equations by elimination -9x-2y=5 -9x-2y=11
Answer:
no solutions
Step-by-step explanation:
-9x-2y=5
- (-9x-2y=11)
-9x-(-9x) - 2y-(-2y) = 5 - 11 ==> subtract the top two equations
-9x + 9x - 2y + 2y = -6 ==> subtracting by a negative number is equivalent
to adding by a positive number
(-9x + 9x) - 2y + 2y = -6
0 - 2y + 2y = -6
0 - 0 = -6
0 [tex]\neq[/tex] -6 ==> Hence, there is no solutions.
A soccer team has 15 players and needs to choose a captain and an assistant captain. How many ways can those positions be selected?
Answer:
91 ways. So the answer to the problem's question is THIS : in 15*91 = 1365 ways.
Step-by-step explanation:
Question #2
What is the value of the expression
35
?
23 – 1
A 5
B 7
C 12
Answer:
A. 5
Step-by-step explanation:
just use calculator tbh
what is equivalent to 2/8
Answer:
1/4,
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Explain what an exponential form is but leveled down for high schoolers
The required exponential function is given as y = aˣ where the value of a should be positive always.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.
Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.
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Simplify (-8-r)+(2r-4) Plato question
Answer:
−12r+32−2r 2
Step-by-step explanation:
(−8−r)(2r−4)
Apply the distributive property by multiplying each term of −8−r by each term of 2r−4.
−16r+32−2r
2
+4r
Combine −16r and 4r to get −12r.
Answer:
R-12
Step-by-step explanation:
Open the parenthesis, then solve
-8-r + 2r-4
-r+2r-8-4
r-12
Your answer will be R-12
4.
Calculate 30% of 500 kg
Answer:
150 kg
Step-by-step explanation:
30% of 500 kg
[tex]=0.30*500[/tex]
[tex]=150[/tex]
150 kg
Prove that for any natural n: a the number 7^(n+4) −7^n is divisible by 30.
For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.
What is mathematical induction?An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.
Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.
Let, n = 0.
Therefore,
7⁴ - 7⁰.
= 2401 - 1.
= 2400.
= 30×80, Divisible by 30.
Similarly for n = 1 we have,
7⁵ - 7¹.
= 16807 - 7.
= 16800.
= 30×560.
Hence by induction, the cycle will continue.
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Find the measure of angle B. Round your answer to the nearest whole 10 points number. *
Answer:
38
Step-by-step explanation:
180 - 104 = 76
76 divided by 2 = 38
what is the correct factorization of 100^12
Answer:
GCF of 12 and 100 by Prime Factorization
Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.
GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.
17v = 62 (exponential equations with logarithms, solve)
Therefore v = log(62) / log(17) is the solution for v, the unknown variable in the equation.
Define log(Logarithm).The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.
What is a function?A function in mathematics is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
To solve this exponential equation, we can use the logarithms property that is log(a^b) = b*log(a).
Given the equation 17v = 62, we can take the logarithm base 17 of both sides:
log(17^v) = log(62)
v*log(17) = log(62)
Dividing both sides by log(17) gives us:
v = log(62) / log(17)
This is the solution for v, the unknown variable in the equation.
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A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes, one cube is selectef at random from the bag. What is the probability that the seleceted cube will not be blue.
The probability that the selected cube will not be blue is given as;
P(selected cube not blue) = 3/4
We are given that;
Number of red cubes = 7 cubes
Number of yellow cubes = 3 cubes
Number of green cubes = 2 cubes
Number of blue cubes = 4 cubes
Total number of cubes = 7 + 3 + 2 + 4
Total number of cubes = 16 cubes
Probability that the cube that is selected is blue;
P(selected cube is blue) = 4/16 = 1/4
Thus, probability that it will not be blue will be;
P(selected cube not blue) = 1 - (1/4)
P(selected cube not blue) = 3/4
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