Answer:
B. 0.09x
Step-by-step explanation:
x is the initial price.
0.09x is the 9% sales tax.
-30 is the instant rebate.
Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.
Let y represent the number of years since Clayton started his job and f represent the total number of times he has flown.
Complete the equation that represents the relationship between y and f.
y f
1 9
2 15
3 21
4 27
f=
y+
Answer:
f = 6y + 3
Step-by-step explanation:
The equation to reflect this condition is:
f = 6y + 3Where
3 - is constant, the initial number of flights6 - coefficient, number of flights per yeary- number of yearsf- total number of flightsFrom the top of a tree 30 m height a man is observing the base of a tower at an angle of depression measuring 30 degree. Find the
distance between the tower and the tree.
Answer:
Step-by-step explanation:
tan30=oposite/adjucent side
1/1.732=30/adjectent side
adjectent side=30*1.732
adjecent side=51.96m.
Please answer this thanks!
Answer:
F. 5
Step-by-step explanation:
For 9 to be a common factor, x must be a multiple of 9. For the greatest common factor to be 9, not 18 or 36, x must be an odd multiple of 9.
There are 5 2-digit odd multiples of 9:
27, 35, 63, 81, 99
There are 5 possible 2-digit values for x.
what is the product of -12 and -4
Answer:
The answer is 48.
-12 × -4=48.
A square has the following vertices. Find the area of the square.
(−7, −5), (−4, −2), (−4, −8), (−1, −5)
6√ square units
18√ square units
6 square units
18 square units
Answer:
18 square units
Step-by-step explanation:
A square has the following vertices
(−7, −5), (−4, −2), (−4, −8), (−1, −5)
To determine if the are we look for the length of just one of it's sides, because it's a square,all of it's side are equal.
And the are is determined by squaring one of it's sides.
An attachment of the figure is given below to help us know the vertices to use to determine the length.
Length= √ ((-4-(-7))²+(-2-(-5))²)
Length= √((3)²+(3)²)
Length= √(9+9)
Length= √18
So area is the square of the length
Area= (√18)²
Area= 18 square unit
Answer:
D
Step-by-step explanation:
( 5+ y) + 6x when x = 10 and y =7
Answer:
72
Step-by-step explanation:
( 5+ y) + 6x
Let x = 10 and y = 7
( 5+ 7) + 6*10
12 + 60
72
Answer:
92
Step-by-step explanation:
sub in your given numbers
do PEMDAS
Perathasieis (5 + 10) = 50
6(7) = 42
add 50 + 42
you get 90
To make lemonade you can mix 4 teaspoons of lemonade powder with 16 ounces of water. What is the ratio of powder to
water?
4:32
32:8
24:64
32:128
Answer:
32:128
Step-by-step explanation:
divide all of it by 2, you get 16:64. Again, 8:32. Again, 4:16
Which of the following is not equivalent to the product?
(3x-2)(27° +53-1)
A. 3x(2x2 + 5x - 1) - 2(2x + 5x - 1)
B. 6x2 - 10x - 1
C. 67° + 11x° - 13x +2
D. 2x2 (3x - 2) + 5x(3x - 2)- 1(3x - 2)
Answer:
Option is a
Step-by-step explanation:
By checking it by solving
Complete the table to show corresponding parts in the three figure
Answer:Corresponding parts:
Angles, sides, or vertices of two or more figures that are located in the same position when the figures are aligned.
The term corresponding means that the parts of two or more figures match when turning, flipping or sliding them. In Figure 1, If we turn the object in green a certain angle, we will get to match both the sided and the angles of these two objects. Therefore, object in red and object in green are corresponding.
Step-by-step explanation:
If y = x + 5 and y = 11 then x =
Answer:
x=6
Step-by-step explanation:
If you put 11 into y, it is 11=x+5. In order to find this, you have to subtract 11 by 5 which is 6. So x=6
Hi there! :)
Answer:
[tex]\huge\boxed{x = 6}[/tex]
y = x + 5 and y = 11
Substitute in 11 for y:
(11) = x + 5
Subtract 5 from both sides:
11 - 5 = x
x = 6.
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon
How old is Michael?
Answer: 3b-18=9(b-18)
3b-18=9b-162
6b=144
b=24
3b=72
Brandon is 24, Michael is 72.
Step-by-step explanation:
In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technology. HINT [See Example 2.] (Round your answer to five decimal places.) P(X = 3)
Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
On a given day, a particular raccoon will eat the trash from one of three different houses. If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses. What is the stochastic matrix for this scenario
Answer:
Step-by-step explanation:
On a given day , a particular raccoon will eat the trash from one of three different houses.
Let assume [tex]Y_n[/tex] be a random variable that illustrating the house raccoon will eat on an unknown given nth day.
If he eats from the trash of a particular house, he has a 50% chance to eat from the same house the next day, and a 25% chance each to eat from one of the other two houses.
There are three states given in the above statement.
So, we can have state 1, state 2 and state 3
Assuming that:
state 1 = house 1
state 2 = house 2
state 3 = house 2
If he eats from the trash of a particular house,
For state 1 : he has a 50% chance to eat from the same house the next day
i.e state 1 = 0.50
and a 25% chance each to eat from one of the other two houses.
For state 2 and state 3: = 0.25
i.e state 2 = 0.25
state 3 = 0.25
NOW:
[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 0] = 0.5}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 0] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+2}= 2 \ | \ Y_n = 0] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 1] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 1] = 0.5}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 1] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 0 \ | \ Y_n = 2] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 1 \ | \ Y_n = 2] = 0.25}[/tex]
[tex]\mathtt{P[Y_{n+1 }= 2 \ | \ Y_n = 2] = 0.5}[/tex]
The stochastic matrix for this scenario can be computed as:
0 1 2
[tex]P = \left\begin{array}{c}0\\1\\2\end{array}\right \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]
[tex]\mathbf{ P =\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] }[/tex]
Subtraction Problem
Unsimplified Difference
Simplified Difference
13
3
14
14
4
1
21
21
19
4
35
35
9
10
3
10
Answer:
13 3 14 14 4 1 21 21 19 4 35 35 9 10
Step-by-step explanation:
how many ways can you arrange 10 people in a circle if two arrangements are considerded the same if each persons left and right neighbors are the same
Answer:
1814400 ways
Step-by-step explanation:
From the question, since it doesn't matter which seat you sit in as long as the neighbors either side of you still remain in the same order, thus;
Number of possible seat arrangements = 10! = 3628800
Now, we know that two seatings are the same when each person has the same two neighbors to the right or left. This simply means that it will be considered the same if the seats are placed around the circular table either clockwise or counter clockwise. With respect to this condition, we have to divide the number of possible seat arrangements by 2.
Thus;
Number of possible ways with the condition in the question = 3628800/2 = 1814400 ways
At ∆ ABC, the exterior angle at C, measures 126 °. If the ∡B measures twice the ∡A. How long is ∡A?
Answer:
<A=42°
Step-by-step explanation:
If the exterior of angle C is 126, the interior is 54.
The sum of the other two angles must be 126. (Exterior Angle Theorem)
If B is twice A, we divide 126 into thirds. This is 42.
So A is 42, B is 84, and C is 54.
Answer:
42°
Step-by-step explanation:
An exterior angle is equal to the sum of the opposite interior angles.
A + B = 126
The measure of B is twice the measure of A.
B = 2A
Substitute:
A + 2A = 126
3A = 126
A = 42
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the level of significance with degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the level of significance based on a sample size of n. (c) Determine the critical value(s) for a two-tailed test of a population mean at the level of significance based on a sample size of n.
Answer:
(a) The critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.
(b) The critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.
(c) The critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.
Step-by-step explanation:
We have to find the critical t values for each of the following levels of significance and sample sizes given below.
As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.
(a) A right-tailed test of a population mean at the α=0.01 level of significance with 15 degrees of freedom.
So, here the level of significance = 0.01
And the degrees of freedom = n - 1 = 15
Now, in the t table, the critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.
(b) A left-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 20.
So, here the level of significance = 0.05
And the degrees of freedom = n - 1
= 20 - 1 = 19
Now, in the t table, the critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.
(c) A two-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 13.
So, here the level of significance = [tex]\frac{0.05}{2}[/tex] = 0.025 {for the two-tailed test}
And the degrees of freedom = n - 1
= 13 - 1 = 12
Now, in the t table, the critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.
Find the domain of y = 4 square root 4x + 2
Answer:
[tex]\Large \boxed{x\geq -\frac{1}{2}}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
[tex]y=4\sqrt{4x+2}[/tex]
There are restrictions on the value of x.
A square root of a negative number is undefined.
The number in the square root has to be equal to 0 or be greater than 0.
[tex]4x+2\geq 0[/tex]
Subtract 2 from both sides.
[tex]4x\geq -2[/tex]
Divide both sides by 4.
[tex]\displaystyle x\geq -\frac{2}{4}[/tex]
[tex]\displaystyle x\geq -\frac{1}{2}[/tex]
solve question shown below
Simplify the numerator and denominator first:
5/8 + 3/4 = 11/8
-2/3 - 5/6 = -3/2
Now you have 11/8 / -3/2
When dividing two fractions change division to multiplication and flip the second fraction over:
11/8 x -2/3 = 11 x -2 / 8 x 3 = -22/24
-22/24 reduces to -11/12
The answer is -11/12
Solve 5h+2(11−h)=−5
.
Answer:
h =-9Step-by-step explanation:
[tex]5h+2\left(11-h\right)=-5\\\mathrm{Expand\:}5h+2\left(11-h\right):\quad 3h+22\\\\3h+22=-5\\\\\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}\\\\3h+22-22=-5-22\\\\Simplify\\\\3h=-27\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3h}{3}=\frac{-27}{3}\\\\h=-9[/tex]
The value of h is -9.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
5h + 2 (11 - h) = - 5
Remove the parenthesis.
5h + 2 x 11 - 2h = -5
5h + 22 - 2h = -5
Subtract the like terms.
3h + 22 = -5
Subtract 22 on both sides.
3h = - 5 - 22
3h = -27
Divide both sides with 3.
h = -9
Thus,
The value of h is -9.
Learn more about expressions here:
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Answer two questions about Equations A and B:
A. 5x=20
B. X=4
1) How can we get Equation B from Equation A?
Choose 1 answer:
Multiply/divide both sides by the same non-zero constant
Multiply/divide both sides by the same variable expression
Add/subtract the same quantity to/from both sides
Add/subtract a quantity to/from only one side
Answer:
Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
5x = 20
Divide each side by 5
5x/5 = 20/5
x = 4
Why is it important to study the environment as a system?
Answer:
Step-by-step explanation:
Our environment is very important to us because it is where we live and share resources with other species. ... Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems. hope it help
-10 + 7x + 24 - 2x= what does it equals
Answer:
14+5x
Step-by-step explanation:
Combine like terms to get:
-10+5x+24=?
then add -10 to 24 to get 14 to get the new simplified equation
14+5x
Hope this helps!
Answer:
5x+14
Step-by-step explanation:
its all about combining like terms. add the -10 and the 24 together, and u get 14. then add the 7x and -2x, and that gives you 5x. and u cant go any further with that, so 5x+14 is your answer
What is the equation for each reflected graph of f(x)=x^2-4? Reflect across the x-axis, reflect across the y-axis.
A function assigns the values. The equation for each reflected graph of f(x)=x²-4 can be written as shown below.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Reflect across the y-axis, to find the equation replace x with -x,
f(-x) = (-x)² - 4
= x² - 4
No, Change because the function is symmetrical about the y-axis
B.) Reflect across the x-axis, to find the equation replace y with -y,
y = f(x) = y
-y = -f(x)
= -(x² - 4)
= -x² + 4
Hence, The equation for the reflection of the function can be done as shown below.
Learn more about Function here:
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Jasmine used the number line to find the distance between 0 and 5. What was Jasmine's error?
1 2 3 4 5
The distance is -5.
-2 -1
0 1 2 3
4
+
8
5
6
7
Jasmine should have counted from 5 to 0.
Jasmine started with the wrong integer.
Jasmine gave a negative answer for distance.
Jasmine ended with the wrong integer.
Done
Intro
Answer:
c
Step-by-step explanation:
thats the answerrrrrrrr
Answer:
c
Step-by-step explanation:
edg 2021
Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many softballs does
Answer:
64 softballs
Step-by-step explanation:
Coach Beard currently already has 24 softballs.
When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:
24 + 40 = 64
The answer is 64 softballs.
~ an aesthetics lover
Answer:
64 Softballs
Step-by-step explanation:
24+20+20=64
Simplify. Square root of 144 a^2 b^4 c^6
12abc
12ab2c2
12ab2c3
Answer:
12 ab²c³
Step-by-step explanation:
√144 a² b⁴ c6
144 would be 12
a² would be a
b⁴ would be b²
c6 would be c³
15 POINTS if you get iy=t right
Answer:
C.
Step-by-step explanation:
Step 1: Isolate [tex]V_{0}[/tex]
Multiple t on both sides
at = [tex]V_{1} -V_{0}[/tex]
Subtract [tex]V_{1}[/tex] on both sides
[tex]at - V_{1} = V_{0}[/tex]
Therefore the answer is C
Simplify the expression below:
3(2x - 5) - (4x + 1) +2(6 – 5x + 2x)
into the form AX + B
1. What is the value of A?
Do not include spaces, units, or commas in your response.
2. What is the value of B
Do not include spaces units, or commas in your response.
Answer:
The value of A is -4, and that of B is -10
Step-by-step explanation:
We must carry out the indicated multiplication (and removal of parentheses) according to Order of Operations rules:
6x - 15 - 4x - 1 + 6 - 10x + 4x
Grouping like terms together, we get:
6x - 4x - 10 x + 4x - 15 -1 + 6
this, in turn, simplifies to:
-4x-10
The value of A is -4, and that of B is -10
Create formulas for the following in an Excel worksheet: Add the values of 3 and 5 to one another. Subtract the value of 5 from 10 and multiply the outcome by 7. Average the values 5, 6, 7, and 8. Find the sum of the squared values of 3, 4, and 5.
Answer:
Please see the Excel formulas used in the attached image
Step-by-step explanation:
Use the simple addition, simple subtraction, average value built-in function, and addition of squares as indicated in the attached image