Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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11. Find the solutions of x^2 - x - 30 = 0.
please look at photo and give detailed steps!! will give brainliest! thank you
Answer:
x=-5,6
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
A box of chocolates contains 24 chocolates. Ten of the chocolates have cherry centers. All chocolates appear the same.
Two chocolates are selected. Find the probability of each of the following. (Round your answers to four decimal places.)
(a) both have cherry centers
(b) one has a cherry center and one does not
The probability of selecting chocolate such that:
(a) both have cherry centers: 0.1630
(b) one has a cherry center and one does not: 0.507
In this question, we have been given a box of chocolates contains 24 chocolates.
n(S) = 24
Ten of the chocolates with cherry centers.
n(A) = 10
So, the number of chocolates with no cherry centers are:
n(B) = 14
We need to find the probability of selecting chocolate such that
(a) both have cherry centers
P = (10/24)(9/23)
P = 90/552
P = 15/92
P = 0.1630
(b) one has a cherry center and one does not
P = 2*(10/24)(14/23)
P = 0.507
Therefore, the probability of selecting chocolate:
(a) both have cherry centers
P = 0.1630
(b) one has a cherry center and one does not
P = 0.507
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You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?
Answer: 450 oz
Step-by-step explanation: multiply
Answer:
You can make 18 servings.
Step-by-step explanation:
Daija wants trim 3.5centimetes from her hair how should she move the decimal point to convert this number to millimeters
9514 1404 393
Answer:
right
Step-by-step explanation:
1.0 cm = 10. mm . . . . . . the decimal point is moved to the right
3.5 cm = 35. mm . . . . . . the decimal point is moved to the right
South Pole Edition
Your Outdoor Adventures class is providing guidance to a group that is on an expedition to the South Pole. There are 5 people on the expedition.
Due to the extreme climate and conditions, each person in the group needs to consume 6000 calories per day. The table shows the three foods that will make up their total daily calories, along with the number of calories per unit and the daily needs by percentage.
(chart is in the photo i provided)
The map shows the current location of the group, as well as the location of the South Pole and the base camp. Each unit on the grid represents 5 miles. In the question that follow, you will determine whether the group has enough food to reach the South Pole and return to base camp.
Question:
The group thought there was enough food for all 5 group members to complete the trip, with each person getting the required 6000 calories per day. They discover that 2 of the crates they brought are missing.
Each crate contains
•80 biscuits
•50 packages of pemmican
•10 packages of butter and cocoa
Use the map, create a plan for the rest of the trip that includes taking as many group members as possible to the South Pole, while sending the rest of the group members directly back to base camp. Remember that each person must have 6000 calories of food per day until he or she gets back to base camp.
The group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
How did we arrive at this assertion?According to the given chart, calculate that each crate contains a total of 48000 calories. Therefore, two missing crates result in a total loss of 96000 calories (48000 x 2).
Determining whether the group has enough food to reach the South Pole and return to base camp, calculate the total number of calories required for the entire trip. Supposing a round trip of 10 days to the South Pole and back, the total number of calories required would be:
Total Calories = (6000 calories/person x 5 people x 10 days) x 2 (round trip)
Total Calories = 600,000 calories
To cover for the lost calories, the group would need to sacrifice one member's trip to the South Pole and send them directly back to base camp. This would leave four members to continue to the South Pole, where they would have to ration their food carefully to make sure they have enough for the entire trip.
Below is a plan to ensure enough food:
Day 1-2:
All five members travel together to position (2,1) and set up camp.Each member would consume 6000 calories per day.Total calories consumed: 5 people x 6000 calories x 2 days = 60,000 caloriesDay 3-5:
Four members (let's call them A, B, C, and D) continue to the South Pole while one member (let's call them E) returns to base camp.E would need 6000 calories per day to return to base camp.Total calories consumed by E: 1 person x 6000 calories x 3 days = 18,000 caloriesA, B, C, and D would have to consume 15000 calories per day (60000 calories ÷ 4 people ÷ 2 days) to make up for the lost calories.Total calories consumed by A, B, C, and D: 4 people x 15000 calories x 3 days = 180,000 caloriesDay 6-7:
A, B, C, and D reach the South Pole and set up camp.They would need 6000 calories per day for 2 days.Total calories consumed: 4 people x 6000 calories x 2 days = 48,000 caloriesDay 8-10:
A, B, C, and D return to position (2,1) and pick up E on the way.They would need 6000 calories per day for 3 days.Total calories consumed: 5 people x 6000 calories x 3 days = 90,000 caloriesAdd up all the total calories consumed:
60,000 + 18,000 + 180,000 + 48,000 + 90,000 = 396,000 calories
This is less than the total calories required, which was 600,000 calories. Therefore, the group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.
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x - 51Solve for x:42
Answer : x = 7
\(\begin{gathered} \text{Solve for x: }\frac{x\text{ - 5}}{4}\text{ = }\frac{1}{2} \\ \text{Firstly, introduce cross multiplication} \\ 2(x\text{ - 5) = 4 x 1} \\ \text{Open the parenthesis} \\ 2\cdot x\text{ - 2}\cdot5\text{ = 4} \\ 2x\text{ - 10 = 4} \\ \text{Make 2x the subject of the formula} \\ 2x\text{ = 4 + 10} \\ 2x\text{ = 14} \\ \text{Divide both sides by 2} \\ \frac{2x}{2}\text{ = }\frac{14}{2} \\ x\text{ = 7} \end{gathered}\)What is the total cost of a $707 tablet computer that is on sale at 14% off if the local sales tax rate is 5%?
Answer:
$638.42
Step-by-step explanation:
First, we need to calculate the sale price of the tablet computer after the 14% discount is applied. To do this, we can multiply the original price by 0.86 (1 - 0.14), which gives:
Sale price = $707 x 0.86 = $608.02
Next, we need to add the sales tax to the sale price. To do this, we can multiply the sale price by 0.05 (5%), which gives:
Sales tax = $608.02 x 0.05 = $30.40
Finally, we can find the total cost of the tablet computer by adding the sale price and the sales tax, which gives:
Total cost = $608.02 + $30.40 = $638.42
Therefore, the total cost of the tablet computer with the discount and sales tax included is $638.42.
. The population of a city decreased from 25,000 to 24,000. Find the decrease percentage. at to be paid
Answer:
4%
Step-by-step explanation:
1000 of 25000 is 4%
Find the shortest distance from the origin (0,0) to a point on the circle defined by
x^2 + y^2 + 4x - 8y + 19 = 0
a bucket holds c liters of water but a jar holds d liters more how much water do they hold together
The bucket and the jar together will hold (c + d) litres of water.
What is defined as linear equation on two variables?A linear function does have a positive relationship, so increasing one variable (input variable) causes a rise in the second variable (output variable), implying that the variables have always been directly proportional. As a result, the graph of such a linear function is a straight line with a constant slope.Correspondingly, a linear equation is a first-order algebraic equation with two variables and terms with exponents of one.A linear equation in 2 variables [x and y] is any equation with the form:
ax + by = c and at least one of a or b being non-zero.
This is known as the equation's General Form.
For the given question;
The water hold by bucket = c litres.
The water hold by jar = d litres.
Thus, the water hold by both bucket and jar is is linear equation with two variable c and d.
Total water = c + d
By, varying any value the total amount of the water will also get change.
Thus, total water hold by jar and bucket is (c + d) litres.
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If you multiply two decimals that ares less then 1 can you predict whether the product will be less than or greater than either of the factors Explain.
Find the slope and y-intercept from the following graph of a linear equation.
Answer:
A
Step-by-step explanation:
The equation of line is y= -4x -23
What is slope- intercept form?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.
Given:
We can take the coordinates from the given graph as (0, 3) and (2, -5)
Now, the slope = (-5 - 3)/ (2 - 0)
slope= -8/ 2
slope= -4
Now, using the point- slope form
(y - \(y_1\)) = m(x - \(x_1\))
(y- (-3))= -4( x- (-5))
y+3 = -4(x+5)
y+ 3= -4x - 20
y= -4x -23
Hence, the equation of line is y= -4x -23.
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Which is equivalent to 3.25%?
O 0.0325
O 0.325
O 32.5
O 325
Can someone hurry and answer this question?
Answer:
The first choice.
Step-by-step explanation:
hope this helps!
Answer:
A is the answer took test on e2020
Step-by-step explanation:
An online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 25 pieces of furniture and must sell no less than $7000 worth of chairs and tables. If 9 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
(10, 11, 12, 13, 14, 15, 16)
Step-by-step explanation:
The minimum number of tables that the store has to sell in order to meet the requirements is given by:
\((25-t)*100+t*550=7,000\\(550-100)t=7,000-2,500\\t = 10\ tables\)
The company must sell at least 10 tables.
Since the company already sold 9 chairs, and they can ship at most 25 items, they can sell at most 16 tables. Every integer number between the minimum and maximum is also possible:
(10, 11, 12, 13, 14, 15, 16).
Answer:
12,13,14,15,16
Step-by-step explanation:
\underline{\text{Define Variables:}}
Define Variables:
May choose any letters.
\text{Let }t=
Let t=
\,\,\text{the number of tables sold}
the number of tables sold
\text{Let }c=
Let c=
\,\,\text{the number of chairs sold}
the number of chairs sold
\text{\textquotedblleft at most 25 pieces"}\rightarrow \text{25 or fewer pieces}
“at most 25 pieces"→25 or fewer pieces
Use a \le≤ symbol
Therefore the total number of furniture pieces sold, t+ct+c, must be less than or equal to 25:25:
t+c\le 25
t+c≤25
\text{\textquotedblleft no less than \$7000"}\rightarrow \text{\$7000 or more}
“no less than $7000"→$7000 or more
Use a \ge≥ symbol
The store makes $550 for each table sold, so for tt tables, the store will make 550t550t dollars. The store makes $100 for each chair sold, so for cc chairs, the store will make 100c100c dollars. Therefore, the total revenue 550t+100c550t+100c must be greater than or equal to \$7000:$7000:
550t+100c\ge 7000
550t+100c≥7000
\text{Plug in }9\text{ for }c\text{ and solve each inequality:}
Plug in 9 for c and solve each inequality:
The store sold 9 chairs
\begin{aligned}t+c\le 25\hspace{10px}\text{and}\hspace{10px}&550t+100c\ge 7000 \\ t+\color{green}{9}\le 25\hspace{10px}\text{and}\hspace{10px}&550t+100\left(\color{green}{9}\right)\ge 7000 \\ t\le 16\hspace{10px}\text{and}\hspace{10px}&550t+900\ge 7000 \\ \hspace{10px}&550t\ge 6100 \\ \hspace{10px}&t\ge 11.09 \\ \end{aligned}
t+c≤25and
t+9≤25and
t≤16and
550t+100c≥7000
550t+100(9)≥7000
550t+900≥7000
550t≥6100
t≥11.09
\text{The values of }t\text{ that make BOTH inequalities true are:}
The values of t that make BOTH inequalities true are:
\{12,\ 13,\ 14,\ 15,\ 16\}
{12, 13, 14, 15, 16}
\text{(the final answer is this entire list)}
(the final answer is this entire list)
Help mee please will give out lots of points
Answer:
8)36
Step-by-step explanation:
78+66=144
180-144=36
9)63+86=149
180-149=31
180-31=149
10)180-(6+25x)=180-(44)-(18x-3)
x=5
11)35+2x+5+x-10=180
x=50
Find the product. (-3x - 7)(5x + 8)
Step-by-step explanation:
= -15x²-24x-35x-56
= -15x²-59x-56
Sean wants to buy a personal insurance policy that will pay monthly benefits to his son after Sean dies. He pays $500
monthly over the next 10 years to the insurer.
What type of insurance should he buy?
A annuity
B premium
C dividends
D liability
Answer:
B.
Step-by-step explanation:
Premium insurance is an insurance amount paid to the insurer periodically. In this type of insurance, the insurer is required to provide coverage. This insurance policy covers healthcare, life, auto, home, etc. In this insurance, one is required to pay a certain amount of money on monthly, quarterly, or annually basis.
In the given scenario, Sean should buy premium insurance as it covers life and healthcare insurance as well. He can pay $500 on monthly basis to the insurance company. And after Sean's death, his son can claim the amount.
So, the correct answer is option B.
Answer:
A. annuity
Step-by-step explanation:
I know it is a little late for this answer, but I thought I would add it for anyone else who is struggling :) I know it is annuity because I literally just took the test and got it right.
Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From which store should you buy your
watch and why? Help please!!
Answer:
You should buy the watch from Store A because it's cheaper
Step-by-step explanation:
Store A sells a watch for $50 with a 5% discount.
Let's calculate the sale price. The 5% discount is
5/100*$50 = $2.50
The sale price is $50 - $2.50 = $47.50
Now for Store B. The price of the watch was $60 with a 20% discount.
Calculate 20% of $60:
20/100*$60 = $12
The sale price is $60 - $12 = $48
Thus, you should buy the watch from Store A because it's cheaper
Rewrite f(t) = 0.4(1.16)^t-1 in the form y = a (1 + r)^t or y = a(1-r)^t to determine whet
represents exponential growth or exponential decay. Round a and r to the nearest hundredth
necessary.
The exponential function f(t) = 0.4(1.16)^(t - 1) is written as follows:
y = 0.34(1.16)^t.
It represents an exponential growth of 16% a year, with an initial amount of 0.34.
How to define an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
y = a(1 + r)^t.
In which:
a is the initial amount.r is the growth rate, as a decimal.The function in this problem can be written as follows:
y = 0.4(1.16)^t/(1.16)
y = 0.34(1.16)^t.
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help please i beg you
Answer:
4800
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
if u need step by step explanation please comment
The vertices of a quadrilateral are listed below. A(8,-1), B(13,-1), C(18,-7), D(8,-7) Which of the following is the strongest classification that identifies this quadrilateral? A. The quadrilateral is a rhombus. B. The quadrilateral is a trapezoid. C. The quadrilateral is a square. D. The quadrilateral is a rectangle.
Answer:
A
Step-by-step explanation:
Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus
SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN
U is the set of natural numbers less than or equal to 8B is the set of even factors of 8O (1, 2, 3, 4, 5, 6, 7, 8)O (1, 3, 5, 6, 7)O (2, 4, 6, 8)0
The natural numbers less than or equal to 8 are :
U = {1, 2, 3, 4, 5, 6, 7, 8}
The even factors of 8 are :
B = {2, 4, 8}
Note that the complement of B is the set of elements in U that is NOT in B.
This will be :
B' = {1, 3, 5, 6, 7}
The answer is B. {1, 3, 5, 6, 7}
is –68 + 90 positive or negative?
Answer:
22. positive
Step-by-step explanation:
–68 + 90
22
The formula for the surface area A of a cylinder with radius r and height h is given. Solve for h.\(a = 2\pi {r}^{2} + 2\pi {r}h \)
The formula for the surface area A of a cylinder with radius r and height h is:
\(A=2\pi r^2+2\pi rh\)Solving for h:
\(\begin{gathered} A=2\pi r^2+2\pi rh \\ \Rightarrow A-2\pi r^2=2\pi rh \\ \Rightarrow\frac{A-2\pi r^2}{2\pi r}=h \\ \Rightarrow h=\frac{A}{2\pi r}-r \end{gathered}\)The answer is h=(A/(2r*pi))-r
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Which figure is missing in the pattern?
In trapezoid ABCD (AB || CD ), point ME AD so that AM: MD= 3:5. Line / ||
AB and passes through point M to intersect diagonal AC and leg BC at points P
and N, respectively. Find the indicated ratios.
BC: BN
The indicated ratios BC: BN is 3:5.
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Triangles AMP and ADC are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
AM/AD=AP/AC
3x/3x+5x=AP/AC
AP/AC=3/8
AP=3/8AC
PC=AC-AP=AC-3/8AC
=5/8AC
AP/PC=3/8AC/5/8AC=3/5
Triangles ACB and PCN are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
CP/AP=CN/CB
5x/5x+3x=CN/CB
CN=5/8CB
BN=BC-CN=3/8BC
Hence, the ratio BN/CN=3/8BC/5/8BC=3/5
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If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?
There are 50 predicted rolls for 5 in 300 times of rolls.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Janet rolls a 6-sided number cube 300 times,
Probability = (Favourable Outcomes)/(Possible Outcomes)
Favourable Outcomes: 5 (1 total)
Possible Outcomes: 1,2,3,4,5,6 (6 total)
Probability of a 5 in any given roll of a die = 1/6
1/6x300 = 50 = 50 predicted roll with 5.
Hence, There are 50 predicted rolls for 5 in 300 times of rolls.
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Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
Answer:
2
Step-by-step explanation:
20/10=2
The answer is:
30 seconds!