Answer:
The chef would need 5 bags
Step-by-step explanation:
Because 3 times 5 equals 15
To determine the number of bags of flour the chef should buy, divide the total weight required (15 lb) by the weight of one bag (3 lb), resulting in the need to purchase 5 bags.
To find out how many bags of flour the chef should buy, we need to divide the total weight of flour needed by the weight of one bag. If a bag weighs 3 lb, and the chef needs 15 lb, we calculate it as follows:
Determine the total weight needed: 15 lb.
Determine the weight of one bag: 3 lb.
Divide the total weight by the weight of one bag: 15 lb \/ 3 lb = 5 bags.
Therefore, the chef should buy 5 bags of flour to have a total of 15 lb.
Given these two terms in a geometric sequence, find the recursive formula.
a1=4
a6=31104
Answer:
[tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]
Step-by-step explanation:
Step 1. Determine the common ratio
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
Data:
a₁ = 4
n = 6
a₆ =31 104
Calculation:
31 104 = 4r⁵
r⁵ = 7776
[tex]r = \sqrt [5]{7776}[/tex]
r = 6
aₙ = 4(6)ⁿ
Step 2. Determine the recursive formula.
aₙ = 4(6)ⁿ
aₙ₋₁ = 4(6)ⁿ⁻¹
[tex]\dfrac{a_{n}}{{a_{n-1}}} = \dfrac{4(6)^{n} }{4(6)^{n-1}} = 6\\\\a_{n} = 6a_{n-1}[/tex]
The recursive formula for the series is [tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]
How many coins did julia collect
Answer:
The number of coins Julia found is 5
Step-by-step explanation:
We know that the total number of gold coins collected divided by the number of people collecting is 6. So we can set up an equation:
[tex]\frac{6+5+6+8+x}{5}=6[/tex]
this simplifies to:
[tex]\frac{25+x}{5}=6[/tex]
Using the multiplication property of equality and multiplying both sides by we get:
25+x=30
Then finally, using the subtraction property of equality we get our answer:
x=5
The length of a rectangle is 7 centimeters less than its width. What are the dimensions of the rectangle if its area is 144 square centimeters?
Answer:
Width = 16 cm
Length = 9 cm
Step-by-step explanation:
Width = x cm
Length = x - 7
Area = 144 cm²
x(x - 7) = 144
x² - 7x = 144
x² - 7x - 144 = 0
(x - 16)(x + 9) = 0
x = 16 or x = -9 (rejected)
Width = 16 cm
Length = 16 - 7 = 9 cm
The width is determined to be 16 cm, and the length is 9 cm.
The student is asking for the dimensions of a rectangle given an area of 144 square centimeters and a length that is 7 centimeters less than its width. To find the dimensions, we can let the width be represented by w and the length by w - 7 (since the length is 7 centimeters less than the width). The area of a rectangle is calculated by multiplying the length by the width, which in this equation would be w(w - 7). We can set this equal to the given area of 144 square centimeters and solve for w.
Setting up the equation: w(w - 7) = 144. This simplifies to w^2 - 7w - 144 = 0.
To solve for w, we need to factor the quadratic equation, which results in (w - 16)(w + 9) = 0. The width can be 16 cm because it must be a positive value. Subsequently, the length is 16 - 7 = 9 cm.
Therefore, the dimensions of the rectangle are 16 cm in width and 9 cm in length.
PLEASE PLEASE PLEASE HELP AND QUICK
"The line plot shows the amount of water Jorge drank on five different days
Problem:
If the total amount of water Jorge drank was evenly divided over five days, how much water would he drink each day?"
$300 bases price plus $20 per guest for up to 30 guest
Answer:$900
Step-by-step explanation:Because 30 times 20 + 300 equals 900
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
{ y = x - 4
{ y = 4x + 2
Substitute
4x+2=x-4
Then solve
3x=-6
x=-2
Substitute answer into an equation to find y
y=-2-4
y=-6
So you solution is:
(-2,-6)
A 150lb woman receives 24 grams of medicine. How many grams would a 120lb woman get
Answer:
19.2 grams
Step-by-step explanation:
We can solve the problem via ratio and proportions or simply through cross-multiplication;
we can formulate the following proportions;
(medication/weight) = constant
24/150 = x/120 = constant
where x is the quantity of medication for the 120 lb woman.
solving for x yields;
x = (24/150)*120
x = 19.2 g
Answer:
The correct answer is 19.2 grams
Step-by-step explanation:
It is given that, a 150lb woman receives 24 grams of medicine
To find the amount of medicine
150lb woman receives 24 grams
From the given information we can write,
1lb woman receives 24/150 grams
120lb woman receives = (24/150) * 120
= 19.2 grams
Therefore 120lb woman get 19.2 grams
The correct answer is 19.2 grams
What is the horizontal asymptote??? Math 3!! 10 points HELP NEEDED
Answer:
no horizontal asymptote
Step-by-step explanation:
When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.
Dividing the numerator by the denominator gives
[tex]\frac{x^2-x-6}{x+4}[/tex] = x - 5 + [tex]\frac{14}{x+4}[/tex]
There is a slant asymptote with equation y = x - 5
What is the surface area of the triangular prism?
A. 370 cm2
B. 390 cm2
C. 490 cm2
D. 520 cm2
Answer: A. 370 cm2
Step by Step explanation:
10x15=150 The big rectangle
15x6=90x2=180 The small rectangles
20x2=40 the triangles
Add all up 150+180+40=370
Hope this helped
A survey of 120 college students is conducted and the results displayed below show that 90 students have a smartphone, 45 have a tablet, and 10 have neither. Fill in the empty table cells in the two-way frequency table.
Smartphone No Smartphone Total
Tablet 45
No Tablet 10
Total 90 120
What is the probability (rounded to the nearest whole percent) that a randomly selected college student has a tablet but not a smartphone?
A.) 20%
B.) 5%
C.) 17%
D.) 67%
Answer:
C) 17%
Step-by-step explanation:
Table: has tablet | no tablet | total
has phone | 25 65 90
no phone | 20 10 30
total | 45 75 120
No tablet total: 120 - 45 = 75
No phone total: 120 - 90 = 30
No tablet phone: 75 - 10 = 65
No phone tablet: 30 - 10 = 20
Both: 45 - 20 = 90 - 65 = 25
-------------------------------------------------------------------------
So out of 120 students, 20 of them will have a tablet but no phone. 20/120 = 1/6 = 0.16666... ≈ 17%
Plz help
Given that
F (x)=2x
Gof (x)=6x+2
Find g (x)
Answer:
g(x) = 3x + 2Step-by-step explanation:
[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]
All regular polygons:
Answer:
C. are symmetrical
Step-by-step explanation:
Regular polygons mean that the polygon has sides with equal measures. This means that any line drawn from the vertex straight down passing through the center will create two symmetrical figures.
A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal. The correct option is C.
What is a regular polygon?A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal and the measure of the interior angle between any two consecutive sides is equal.
All regular polygons are symmetrical. This can be observed for any regular polygon with n number of sides.
Hence, All regular polygons are symmetrical.
Learn more about Regular Polygone:
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the graph of f(x) shown below has the same shape as the graph of g(x)=x^2 but is shifted down 5 units and to the left 4 units (thank you)
Answer:
D. [tex]F(x)=(x+4)^2-5[/tex]
Step-by-step explanation:
The parent function is [tex]G(x)=x^2[/tex].
This function has its vertex at the origin (0,0).
When this function is shifted down 5 units and to the left 4 units, then its new vertex will be at (-4,-5)
The vertex form of the equation is given by;
[tex]F(x)=a(x-h)^2+k[/tex] where (h,k)=(-4,-5) is the vertex and a=1 because of the parent function.
Hence its equation is
[tex]F(x)=(x+4)^2-5[/tex]
Answer:
Option C
Step-by-step explanation:
A function g(x) = x² has been given as the parent function.
This function then shifted 5 units down.
Translated function formed will be f(x) = x² - 5
Further this graph has been shifted 4 units to the left then the function will become
f(x) = [x - (-4)]² - 5
f(x) = (x + 4)² - 5
Therefore, option C is the answer.
The heaviest rainfall in one day on record for one city is 11.17 inches. The next heaviest is 8.30 inches. How much greater is the record fall?
Answer:
2.87
Step-by-step explanation:
11.17-8.30=2.87
Answer:
2.87
Step-by-step explanation:
subtract 8.30 from 11.17 hope this helps
if does mark me top brain thing or what ever
Diana is trying to choose a broker who help her purchase a par value $1000 corporate bond from Dedham Pharmaceuticals.Broker p charges a commission of 4.4% of the market value of each bond purchased and broker q charges a flat fee fee of $32.50 for each bond purchased.If bonds at Deegan pharmaceuticals are selling at 104.682 which broker will give Diana the better deal and by how much?
Answer:
Broker Q’s commission will be $13.56 less than Broker P’s
Step-by-step explanation:
Answer:
Broker Q will give Diana the better deal by $13.56.
Step-by-step explanation:
Diana wants to purchase a par value $1000 corporate bond. Broker P charges 4.4% of the market value, so the commission would be $46.06008 per bond. On the other hand, Broker Q would only charge $32.50 for each bond; due to this, the difference would be $13.56 in favor of Broker Q.
Which modified box plot represents the data set?
2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19
Answer:
D
Step-by-step explanation:
Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
The number 42 is an outlier of the data.
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
Write a five-number summary:
Min: 1
Q1: 5.5 (the average between the middle terms of first half of the data)
Med: 11 (the middle term of the data)
Q3: 17 (the average between the middle terms of second half of the data)
Max: 19
Outlier: 42
Only option D shows
Answer:
The last box plot
Step-by-step explanation:
A box plot is simply a graphical representation of the 5 number summary of a data set;
The minimum, first quartile, median, third quartile, and the maximum
in that order.
We can therefore arrange our given data set from the least to the greatest value;
1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42
The value 42 is an outlier since it is more extreme than the rest of the values.
From our arrangement of the data values above, we can note the following;
The minimum value is 1
The maximum value is 19
42 is an outlier, will be represented by a dark circle
The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data
Find the least common multiple (LCM) of 10 and 8.
Answer:
40
Step-by-step explanation:
Find the smallest multiple number shared by the two numbers.
10: 10, 20, 30, 40
8: 8, 16, 24, 32, 40
40 is the smallest multiple shared by the two numbers, and is your answer.
~
Answer:
40
Step-by-step explanation:
have a nice day
At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 38 years old, with a standard deviation of 10 years. Find the percent of new employees that are no more than 30 years old. Round to the nearest percent.
Answer:
P = 21%
Step-by-step explanation:
We look for the percentage of employees who are not more than 30 years old.
This is:
[tex]P = \frac{x}{n} *100\%[/tex]
Where x is the number of new employees who are not over 30 years old and n is the total number of new employees.
We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 30 years old is equal to [tex]P = \frac{x}{n}[/tex]
Then we can solve this problem by looking for the probability that a new employee is not more than 30 years old.
This is:
[tex]P(X< 30)[/tex]
Then we find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
We know that:
μ = 38 years
[tex]\sigma = 10[/tex] years
So
[tex]Z = -0.8[/tex]
Then
[tex]P (X<30) = P (\frac{X- \mu}{\sigma} < \frac{30-38}{10})\\\\P (X<30) = P(Z<-0.8)[/tex]
By symmetry of the distribution
[tex]P(Z<-0.8)=P(Z>0.8)[/tex]
Looking in the normal standard tables
[tex]P(Z>0.8)=0.211[/tex]
Finally P = 21%
y = 6x − 4
y = 5x − 3
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.
Part B: What is the solution to the pair of equations?
can it also be simple
Answer:
Part B: [tex]\displaystyle [1, 2][/tex]
Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.
Step-by-step explanation:
6x - 4 = 5x - 3
- 6x + 3 - 6x + 3
____________
[tex]\displaystyle -1 = -x; 1 = x[/tex]
Plug this coordinate back into the above equations to get the y-coordinate of 2.
y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]
[tex]\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m[/tex]
I am joyous to assist you at any time.
the function y=5/3× is shifted up 4 units what is the equation of the new function
Answer:
y = 5/3x + 4
Step-by-step explanation:
the y-intercept in the original equation lies at (0,0), as there is no given value for the y intercept.
when you move the graph up 4 units, you are going along the y-axis, meaning the y intercept will change to be (0,4)
Complete the steps to factor 12x3-9x2+8x-6 by grouping
Answer:
(4x−3)(3x²+2)
Step-by-step explanation:
Factor 12x3−9x2+8x−6
12x3−9x2+8x−6
=(4x−3)(3x2+2)
The factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).
To factor the expression 12x³ - 9x² + 8x - 6 by grouping, we can group the terms in pairs and factor out the common factors.
Step 1: Group the terms in pairs
(12x³ - 9x²) + (8x - 6)
Step 2: Factor out the greatest common factor from each pair
3x²(4x - 3) + 2(4x - 3)
Step 3: Notice that both terms now have a common factor of (4x - 3)
(3x² + 2)(4x - 3)
Therefore, the factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).
Learn more about the factorization here:
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Solve for n.
n-26 = -13
n=1
Answer:
I believe n equals 13.
Step-by-step explanation:
Answer:
The answer to your question is n=13
Step-by-step explanation:
n-26= -13
Add 26 on both sides
n-26+26=-13+26
n=13
y’all ready for MATH
D
Y does not follow the pattern for the x to y or y to x or x to X or even y to y
Help me solve 22! (With steps)
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
Look at the points:
(1, 1), (1,4)
(1,4), (4,4)
(4,4), (1,1)
Find the slope between each point: In respective order, the first one is undefined, the second one has a slope of zero, and the third has a slope of 1. Because undefined slope is completely vertical (parallel to the y axis, and the slope of 0 is completely horizontal (parallel to the x axis), they are perpendicular (as it is transitive since the x axis is perpendicular to the y axis). Therefore, we know that anything that is perpendicular created a right angles', and thus, the any triangle with a right angle is a right triangle.
Please help me with this math question
Answer:
Step-by-step expla5+7x12+75-94x347+7 2/9nation:
A garden table and a bench cost $741 combined. The garden table costs $91 more than the bench. What is the cost of the bench?
Answer:
bench: $416; table: $325.
Step-by-step explanation:
Let t and b represent the costs of the table and bench respectively. Then:
t + b = $741, and t = b + $91.
Substituting b + $91 for t in the first equation, we get:
b + $91 + b = $741
Then 2b = $741 - $91, or 2b = $650
Then the bench costs $325 and the table ($325 + $91), or $416.
1. The median (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
16
18
17
17.5
2. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
15
17
20
17.4
3. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 15, 16, 17, 23, 11, 19, 20, 15, 18, 22, 15 (1 point)
15
17
20
17.4
4. The median (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
14.1
11
17
13
5. The first quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
8.5
8
20
14.1
6. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21 (1 point)
8.5
8
20
14.1
Okie so:
1. Put the numbers in order~
Find the middle~
11, 15, 15, 15, 16, {17}, 18, 19, 20, 22, 23
The median is 17
2. Find the middle of the first section~
11, 15, {15}, 15, 16,
The first quartile is 15
3. Find the middle of the last section~
18, 19, {20}, 22, 23
The third quartile is 20
Follow the same steps as above:
4. 8, 8, 9, 11, {13}, 17, 20, 20, 21
The answer is 13
5. 8, 8{ } 9, 11
The answer is 8.5
6. 17, 20{ } 20, 21
The answer is 20
Which of the following best describes the distance around a circle
Answer: the circumference
Step-by-step explanation:
Answer:
circumfrence
Step-by-step explanation:
The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?
Answer:
Assuming the choices are only of C and D, D would be the graph of the function.
Step-by-step explanation:
There are many things that would cause D to be the graph of f(x).
Firstly, D has the end behavior of a [tex]-x^{3}[/tex] function.
Secondly, it has correct zeroes
Lastly, Its y-intercept is -24, which is the case of the function f(x) as
[tex]f(0) = -24[/tex]
An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please
First we have to determine 30% of 12.
(30×12)÷100=3.6 so 3.6 is 30% of 12.
12 - 3.6= 8.4
Your answer is 8.4