Answer:
78 - 4.6x = 55
-4.6x = 55-78
-4.6x = -23
divide by (-4.6) both sides
-4.6x ÷ -4.6 = -23÷-4.6
-4.6 and -4.6 cancel each other
x = 5
Write an explicit formula for an, the nth term
of the sequence 11, 2, -7
Answer:
b(n) = 15 - 7(n - 1)
Step-by-step explanation:
Answer:
aₙ = 11 - 9(n - 1)
Step-by-step explanation:
2 - 11 = (-7) - 2 = -9
So it is an arithmetic sequence
a₁ = 11
a₂ = 2 = 11 + (-9) = 11 + (2 - 1)*(-9)
a₃ = -7 = 2 + (-9) = 11 + (-9) + (-9) = 11 + (3 - 1)*(-9)
.....
aₙ = 11 + (n - 1) * (-9)
or
aₙ = 11 - 9(n - 1)
Choose the function whose graph is given by;
Answer:
A. y = cos x - 2
Step-by-step explanation:
Please Help! Due tonight! Solve the triangle. Round to nearest tenth, if necessary.
Answer:
[tex]\displaystyle 33,8 ≈ b \\ 55,1 ≈ a \\ 35° = m∠B[/tex]
Step-by-step explanation:
We will be using the Law of Sines to find edges b and a one at a time, therefore we will use the given variables in the formulas:
Solving for Angles:
[tex]\displaystyle \frac{sin∠C}{c} = \frac{sin∠B}{b} = \frac{sin∠A}{a}[/tex]
**Use [tex]\displaystyle arcsin\:or\:sin^{-1}[/tex]in your solution or you will throw the result off!
Solving for Edges:
[tex]\displaystyle \frac{c}{sin∠C} = \frac{b}{sin∠B} = \frac{a}{sin∠A}[/tex]
__________________________________________________________
[tex]\displaystyle \frac{33}{sin\:34} = \frac{b}{sin\:35} \hookrightarrow \frac{33sin\:35}{sin\:34} = b \hookrightarrow 33,848824408... = b \\ \\ 33,8 ≈ b[/tex]
We will now define edge a:
[tex]\displaystyle \frac{33}{sin\:34} = \frac{a}{sin\:111} \hookrightarrow \frac{33sin\:111}{sin\:34} = a \hookrightarrow 55,093964682... = a \\ \\ 55,1 ≈ a[/tex]
This triangle is now deemed solved.
***The fact that you solved for the [tex]\displaystyle m∠B[/tex]tells me that you understood what to when it comes to the interior angles of triangles, so I did not have to cover that. Good wourk citisen!
I am delighted to assist you at any time. If you have further questions though, comment them and I will do my very best to answer them.
Consider the following equation;
Answer:
B
Step-by-step explanation:
x² - 6x = 0
x² - 6x + (6/2)² = (6/2)²
x² - 6x + 9 = 9
(x - 3)² = 9
So B
Can someone please help me with number 2 please I’ll love you forever ;)
Step-by-step explanation:
the first question
x²+x+5
when x is -4
(-4)²+(-4)+5
16-4+5
12+5
17
hope this was helpful
Anyone can help me please?
X = 2 cm
Y = 1. cm
Check me if I'm Wrong.
Which would be greater: the number of reds in a bag of 75 candies or the total number of candies in the 1 pound bag in which there are a total of 3 green candies? Use proportional reasoning to support your answer.
Sample
1
2
3
4
5
6
7
8
9
10
11
12
Red
2
1
4
2
1
2
1
0
1
3
3
1
Yellow
3
3
2
2
2
2
2
3
2
1
0
1
Purple
2
2
1
3
5
2
2
2
4
2
2
0
Green
1
4
2
0
0
2
3
4
3
2
1
4
Orange
2
0
1
2
3
2
2
1
0
2
4
4
Answer:
75+3-1 =77
Step-by-step explanation:
444+225752-57560+55-577=77
Triangle ABC is isosceles. It is reflected across the y- axis and then translated up 1 unit to form triangle ABC.
Answer: True, True, True
Step-by-step explanation:
A. True. Angles B and C are congruent, and since B' is congruent to B, by the transitive property, C is congruent to B', and thus has the same measure.
B. True. AB>BC, and the rigid motions won't change the side lengths.
C. True for the same reason in B.
) Express the number 482.073
Standard Form?
Answer:
It is already in standard form
Step-by-step explanation:
Four hundred eighty-two and seventy-three thousandths. = 482.073
It is already in standard form
Hope this helps!
Hey there!
482.073 is expressed in
Standard Form
The standard form of 482.073 is 482.073. (four hundred eighty-two point zero seven three)
I hope you find my answer helpful.
Good luck!
Have a great day!
[tex]\bf{StargazingWithJoy}[/tex]
Simplify the expression:
1+24432+21d+31d
Answer:
52d+24433 is the correct answer
Answer:
24433+52d
Step-by-step explanation:
Simplify by adding
You and your friend have a bet. If you roll a standard six-sided die and get a 4 and then roll it again and get a 6, she will give you $100. You must roll a 4 and a 6 to win. What is the percentage chance you will win this bet?
Answer: 3%
Step-by-step explanation:
first roll 1 out of 6 chance or 16%
second roll is also 1 out of 6 chance or 16%
Mulitple .16 by .16 to get .0256 rounded to whole percentage 3%
Define your variables, write a system of equations, then solve the system of equations by using substitution.
The school that Stefan goes to is pre-selling tickets to a concert. On the first day of ticket sales, the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day boy selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.
I'm happy to help!
Answer:
Adult tickets are $14
Student tickets are $8
Step-by-step explanation:
let's say that [tex]\tt s=student~ticket\\\\[/tex]
And [tex]\tt a=adult~ticket[/tex]
on the first day we have:
[tex]\tt 3s+a=38[/tex]
On the second day we have
[tex]\tt3s+2a=52[/tex]
now we have a system of 2 equations with 2 unknown
[tex]\tt 3s+a=38[/tex]
[tex]\tt 3s+2a=52[/tex]
we will multiply the first equation with -1
[tex]\tt -3s-a=-38\\\tt ~3s+2a=52[/tex]
we solved the system and
a= $14, forthe adult ticket
s= $8 for the student ticket
Hope this helps!Have an Awesome day!
please help asap!!!!!!
Answer:
Step-by-step explanation:
[tex]tan \ 32 = \dfrac{opposite \ side}{adjacent side}\\\\\\0.6 = \dfrac{GF}{HF}\\\\0.6=\dfrac{11}{HF}\\\\\\0.6*HF = 11\\\\HF = \dfrac{11}{0.6}[/tex]
HF = 18.3
[tex]Sin \ 32 =\dfrac{opposite \ side}{hypotenuse}\\\\\\0.5=\dfrac{GF}{GH}\\\\\\0.5=\dfrac{11}{GH}\\\\\\0.5*GH=11\\\\GH=\dfrac{11}{0.5}\\\\\\GH = 22[/tex]
∠G = 180 - (90 +32)
= 180 - 122
= 58°
100 points!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
Proof
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
A new machine with a purchase price of $107,000, with transportation costs of $12,000, installation costs of $5,000, and special acquisition fees of $6,000, would have a cost basis of
Answer:
the answer is =118000
Step-by-step explanation:
$107,000+5,000+6,000=118000 Its simple
John predicted that gas prices would rise 3.5% in the month of January. If gas prices start at $3.25, how much will the gas be if John is correct?
Answer:
$3.36
Step-by-step explanation:
to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)
so:
$3.25 x 103.5% =
3.25 x 1.035 = $3.36
Answer:
$3.36
Step-by-step explanation:
0.11375(3.5% of $3.25) + 3.25 = 3.36375
round to the hundredth since it money and your answer is #3.36
PLEASEEE HELPPPP!!!
50 high school students were asked how many hours they study per day. The mean was 1.5 hours, with a standard deviation of 0.5 hours. Using a 5% level of significance, what could we claim about the mean study time of the entire population of high school students so that the hypothesis will fail to be rejected?
A. 1.3 hrs
B. 1.2 hrs
C. 1.6 hrs
D 1.7 hrs
Considering the desired result of the hypothesis test, we the closest mean time to 1.5 hours, hence the correct option is:
C. 1.6 hrs
What should be the mean?The closer the mean is to the sample mean, the less likely we are to reject the null hypothesis.
In this problem, the sample mean is of 1.5 hours, hence, the closest value, considering the absolute value of the difference, is of 1.6 hours, hence option C is correct.
More can be learned about the test of an hypothesis at https://brainly.com/question/16313918
Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes.
(a)
Give a mathematical expression for the probability density function of battery recharging time for this scenario.
f(x) =
, 70 ≤ x ≤ 110
, elsewhere
Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability density function is:
[tex]f(x) = \frac{1}{b - a}, a \leq x \leq b[/tex]
[tex]f(x) = 0[/tex], elsewhere.
In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:
[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]
[tex]f(x) = 0[/tex], elsewhere.
More can be learned about the uniform distribution at https://brainly.com/question/13889040
If B varies directly to C and inversely to the cube of D, and B = 5 when C = 2 and D = 1, find B when C = 4 and D = 2
Answer:
5/4
Step-by-step explanation:
B = kC/D³
Given B = 5, C = 2, D = 1
so 5 = k(2)/1³ = 2k, k = 5/2 = 2.5
B = 2.5C/D³
when C = 4, D = 2
B = 2.5 * 4/2³ = 10/8 = 5/4
A school district signs a contract to purchase 50 of the electric typewriters (normally selling for $129.95) from ABC at a quantity discount of 18%. What price does the school district pay for each typewriter?
The price the school district pays for each typewriter is $106.56.
What is the price for each typewriter?A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.
Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50
Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50
= $5,327.95
Purchase price of one typewriter = $5,327.95 / 50 = $106.56
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
MARKINF BRAINLIEST AND 50 POINTS6. The Gonzales family has three children.
On summer break, they went to an amusement
park. They bought 3 child tickets for $18.50
and 2 adult tickets. If they spent a total of
$ 104.50, how much was the price of each
adult ticket?
PLEASE WRITE THE EQUATION AND SOLUTION!!!!
Answer:
the price of each adult ticket is $43
Step-by-step explanation:
Let's say the price for 1 adult ticket is x and the price for 1 child ticket is y
3y = 18.5 and 3y + 2x = 104.50
2x + 18.5 = 104.50
2x = 104.5 - 18.50
2x = 86
x = [tex]\frac{86}{2}[/tex]
x = 43
So the price for 1 adult ticket is $43
Answer:
Let's say the price for 1 adult ticket is x and price for 1 child ticket is y
3y = 18.5 and 3y + 2x = 104.5
<=> 2x + 18.5 = 104.5
<=> 2x = 104.5 - 18.5
<=> 2x = 86
<=> x = 86 / 2
<=> x = 43
So the price for 1 adult ticket is $43
Write the following numbers in words:
a. 48 973
b. 153 862
c. 903 036
d. 444 333
e. 16
Using the completing the square method, find the vertex of the function f(x) = -2X² + 12x + 5 and indicate whether it is a minimum or a maximum and at what
point
Maximum at (-3,5)
O Minimum at (-3,5)
O Maximum at (3, 23)
O Minimum at (3, 23)
Answer:
maximum at (3,23)
Step-by-step explanation:
graphed it
Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8%, how much will the loan balance be 8 years from the end the loan? Answer = $ dollars.
Answer:
$21,623.70
Step-by-step explanation:
A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.
The first attachment shows the computation of the loan value. It is about $37,624.54.
The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.
The loan balance 8 years from the end of the loan will be about $21,623.70.
What is the line’s slope?
Answer:
0
Step-by-step explanation:
it's straight
Answer:
0
Step-by-step explanation:
because it does not rise or fall so it has no slope.
Please mark brainlest
Find the length of the side marked with the variable x
Answer:
1.17219
Step-by-step explanation:
sin(23)=x/3
3 x sin(23)
what's the solution set of /x-1/=n
Answer:
n-1, -n+1
Step-by-step explanation:
| x - 1 | = n
so x-1 = n , -n
for x-1=n ; x= n+1
for x-1=-n ; x= -n+1
Howard is preparing meatballs for a party.
Each meatball contains 18 pound of ground beef and 116 pound of ground turkey.
Howard needs to make 20 meatballs.
How many pounds of meat are needed for the meatballs?
2,680 pounds of meat
Step-by-step explanation:
Combine the meat:
116 + 18 = 134
Multiple the total amount of pounds by the number of meatballs:
20 × 134 = 2,680
Answer = 2, 680 pounds are needed
A computer screen has a width of 15 inches and a height of 11 inches. Approximately what is the length of the screens diagonal?
A) 10.2 inches
B) 13.0 inches
C) 18.6 inches
D) 26.0 inches
Answer:
it would be 18.6 inches because the diaganol across a screen is more than the width by a little bit
the product of 3 more than a number and 8 is 14
Answer:
x = -5/4
Step-by-step explanation:
"3 more than a number" is 3 + x
The product of 3+x and 8 is (3+x)(8)
Solve:
(3 + x)(8) = 1424 + 8x = 148x = -10x = -10/8 = -5/4-Chetan K
