Evaluate.
72 - 9 ÷ 3 · 2 + 2 =
A) 21
B) 23
C) 44
D) 68
E) 74
Answer:
D) 68
Step-by-step explanation:
PEMDAS
The PEMDAS rule is an acronym representing the order of operations in math:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Given expression:
72 - 9 ÷ 3 · 2 + 2
Following the order of operations, carry out the multiplication and division first, working from left to right.
Divide 9 by 3:
⇒ 72 - 9 ÷ 3 · 2 + 2
⇒ 72 - 3 · 2 + 2
Multiply 3 by 2:
⇒ 72 - 3 · 2 + 2
⇒ 72 - 6 + 2
Now carry out the addition and subtraction, working from left to right.
Subtract 6 from 72:
⇒ 72 - 6 + 2
⇒ 66 + 2
Add 66 and 2:
⇒ 66 + 2
⇒ 68
Solution
72 - 9 ÷ 3 · 2 + 2 = 68
Answer:
d
Step-by-step explanation:
diseases tend to spread according to the exponential growth model and the early days of AIDS in the growth factor was around 1.9 in 1983 about 1,500 people in the US died of AIDS if this trend had continued unchecked how many people would have died from Aids in 2005
Given the exponential model:
[tex]f(x)=A\cdot b^x^{}[/tex]Where A is the initial condition, b is the growth factor and x is a time-like variable.
We know that the growth factor is 1.9 and that 1500 people died of AIDS in 1983. If we make x to be the years passed since 1983, then 1500 is our initial condition (because 0 years passed). In our model:
[tex]f(x)=1500\cdot1.9^x[/tex]For 2005, x = 22:
[tex]f(22)=1500\cdot1.9^{22}=2035497063[/tex]
please help im literally sobbing
Write the greatest possible 3 digit number using 2 different numbers
Answer:
346,990
Step-by-step explanation:
For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.
a. The distance around a circular track.
b. The total number of equally-sized tiles on a circular floor.
c. The amount of oil it takes to cover the bottom of a frying pan.
d. The distance your car will go with one turn of the wheels
It is listed below whether area or circumference needs to be calculated.
What is circumference?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles. The distance around a circle is its circumference, however this cannot be used as a definition if, as in many introductory presentations, distance is defined in terms of straight lines.
(a) Circumference needs to be calculated.
(b) Area needs to be calculated.
(c) Area needs to be calculated.
(d) Circumference needs to be calculated.
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Isabela has already taken 16 quizzes during past quarters, and she expects to have 1 quiz during each week of this quarter. How many weeks of school will Isabella have to attend this quarter before she will have taken a total of 26 quizzes?
Data:
Quiz taken: 16
Quiz each week: 1
You can express this as a equation:
Q= Total of quizes taken
W= weeks
As each week the number of quizes Q increase in 1 the change is k=1, and Isabela has already taken 16 quizzes. The number of quizzes can be represented as:
[tex]Q=Q_0+kW[/tex]Q0 is the number of quizzes Isabela has already taken.
[tex]Q=16+W[/tex]Then, to have a total of 26 quizzes Isabela have to attend:
Q=26
W=?
[tex]26=16+W[/tex]You can find the number of weeks by clearing of the equation above the W:
Substract in both sides of the equation 16:
[tex]26-16=16-16+W[/tex][tex]10=W[/tex]Then, Isabela have to attend 10weeks this quarter to have a total of 26 quizzes.038 ÷.02 I need help to show the work for this problem.
Answer:
The answer would be 1.9
There really is no way to show the work on this problem since it is decimals
20+ 98075643456=? help me
98,075,643,476
Step-by-step explanation:
I add 20 to 56 and the answer is thos
The 9th grade class was surveyed about their plans after high school graduation. The table describes the results.
Part A: Find the conditional relative frequency of a student who plans to live at home, given that they plan to attend college. (3 points)
Part B: Is there an association between attending college and living at home? (3 points)
A) The conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 53.85%
B) Yes, there is an association between attending college and living at home.
What is the Conditional Relative Frequency?
A conditional relative frequency is calculated by dividing a frequency that is not in the Total row or the Total column by the frequency's row total or column total.
A) From the definition above, the conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 35%/65% = 7/13 = 53.85%
B) Yes there is an association between attending college and living at home because the percentage of students who plans to live at home, given that they plan to attend college over half of those is more than 50%.
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Solve the equation t − 6 = 13 for t. −7 7 −19 19
I WILL USE THE METHOD OF ADDITIVE INVERSE.
[tex]t - 6 + 6 = 13 + 6 \\ t = 19[/tex]
ATTACHED IS THE SOLUTION
Answer:
Step-by-step explanation:
You need to see what 13 minus 6 is and that the T value then just plug it in. The answer is 7
25x^2-4
factor completely
The factorization of the quadratic expression 25x² - 4 gives us (5x + 2)(5x - 2) where; x = -2/5 or 2/5
How to factorize a quadratic equation?We are given the quadratic equation as;
25x² - 4
Now, this quadratic equation can be written as;
25x² + 10x - 10x - 4
We can group this using algebra properties to get;
(25x² + 10x) - (10x + 4)
Collecting like terms gives us;
5x(5x + 2) - 2(5x + 2)
Thus, the factorization is;
(5x + 2)(5x - 2)
The values of x will be;
5x + 2 = 0
x = -2/5
Or 5x - 2 = 0
x = 2/5
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for a math assignment, jane has to roll a set of six standard dice and record the results of each trial. she wonders how many different outcomes are possible after rolling all six dice. what is the total number of possible outcomes for each trial?
Different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is equal to 6.
As given in the question,
For Math Assignment
The total set of standard dice = 6
After rolling each dice,
Possible outcomes after each trial = { 1,2,3,4,5,6 }
The total number of possible outcomes for each trial = 6
Different possible outcomes after rolling all six dice = 6 × 6
= 36
Therefore, different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is 6.
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The formula for the volume V of a sphere with radius r is V = 4/3πr3. If the radius of a spherical rubber ball is 2 3/4 inches, what is its volume, to the nearest cubic inch?
The volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.
How to find the volume of spherical rubber ball ?The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements for sphere volume include m^3, cm^3, and in^3.
The formula of volume of the sphere is
V = 4/3πr3
given that the radius of spherical rubber ball is 2 3/4
here the radius is given in improper fraction
now convert it into the decimal by following procedure.
first multiply the 2 with 4
2 X 4 = 8
now add 8 to 3. 8 + 3 = 11
The proper fraction of 2 3/4 is 11/4.
so, the decimal number is 2.75
now put r = 2.75 in formula to get the volume.
V = 4/3 X 3.14 X 2.75 X 2.75 X 2.75
V = 1.33333 X 3.15 X 20.7968
V = 87.11 cubic inches
Hence,the volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.
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-6.235 as a mixed number
Answer:
-6 47/20
Step-by-step explanation:
List the first five multiples of 20. List the first five multiples of 30..
Answer:
First five multiples of 20 are: 20,40,60,80 and 100.
First five multiples of 30 are: 30,60,90,120, and 150.
Answer: for 20 it is 20,40,60,80,100
For 30 it is 30,60,90,120,150
Step-by-step explanation:
here’s another way you can multiply 20 and 30 by 1 and above hope this will help
A right circular cone has a radius of x+4 and a height 5 units less than its radius. Express the volume of the cone as a polynomial function. The volume of a cone is V=13πr2h for radius r and height h. Enter π as pi.
Answer:
V(x) = (1/3)π(x + 4)²(x - 1) orV(x) = (1/3)π(x³ + 7x² + 8x - 16)Step-by-step explanation:
GivenRadius of cone = x + 4 units,Height of cone = 5 units less than radius,Volume formula.SolutionWe are given the volume formula:
V = (1/3)πr²hFind the height:
h = r - 5h = x + 4 - 5 = x - 1Substitute all into formula:
V(x) = (1/3)π(x + 4)²(x - 1)You may keep it as is or simplify:
V(x) = (1/3)π(x² + 8x + 16)(x - 1) = (1/3)π(x³ + 8x² + 16x - x² - 8x - 16) = (1/3)π(x³ + 7x² + 8x - 16)Calculate the rise and run to find the slope of each line! Please help me!!!
The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).
slope of the line = -5/4.
How do you find a slope of a line?Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points (rise). Determine the difference in x-coordinates between these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It is usually simple to graph a line using y=mx+b.The line pass through the points (-3, 2) and (1, -3)
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here, m = slope of the line
m = -3-2/1 +3 = -5/ 4
slope of the line = -5/4.
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Find the measure of FG.
Thank you ;)
The measure of FG is 16 units.
How to find the measure of FG?The measure of FG can be found as follows:
GE is an angle bisector.
An angle bisector is a bisector that bisect angles into two equal halves.
Therefore,
GE bisect ∠FEH
Hence,
FG = GH
FG = x + 11
GH = 3x + 1
x + 11 = 3x + 1
11 - 1 = 3x - x
10 = 2x
x = 10 / 2
x = 5
Therefore,
FG = x + 11 = 5 + 11 = 16 units
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Find 3 consecutive odd integers whose sum is -57.
Answer:
17, 19 & 21
Step-by-step explanation:
Answer:
the answers i found were 17, 19 and 21
Please help me! Thank you :)
The required measure of x and y for the concurrent triangle is 4 and 2 respectively.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
here,
Since the triangle is are concurrent triangle,
x + 4 = 4y - - - - (1)
x = y + 2 - - - - (2)
Solving the above system of the equation,
y + 2 + 4 = 4y
6 = 3y
y = 6 / 3
y = 2
Now put this y in equation 2
x = 2 + 2
x = 4
Thus, the required measure of x and y for the concurrent triangle is 4 and 2 respectively.
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what was the mean number of miles the hiker walked for the 6 days?
Answer:
Incomplete question
...
An item is regularly priced at $78. Martina bought it at a discount of 80% off the regular price.
Use the ALEKS calculator to find how much Martina paid.
An item is regularly priced at $78. Martina bought it at a discount of 80% off the regular price. Martina paid $15.6
What is Sales Price?Sales price: The price that is paid by the buyer at the time when something is sold: People who sold their homes through real estate agents typically did not get a higher sale price than people who sold their homes themselves
The formula for calculating sales price of an item is:
s=p-(p x d)
where,
s is the sales price (which we are going to calculate in this problem)
p is the regular price of the item which is $78
d is the discount rate which is 80%
which means out of 100 = 80/100
substitute the above values in the formula then we get
s=$78-($78 x 80/100)
s=$78-($6240/100)
s=$78-$62.4
s=$15.6
Martina paid $15.6
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help me with this pleaseeee
The answer is C y=x+8
question on inference method and test statistic - is there evidence that the mean amount of water drank daily by a teenager is more than 1.5 liters? data was collected from a sample of 56 teenagers. the best approach to provide an answer to the question would be:
The best approach to provide an answer to the question would be: Calculate a confidence interval using t*
When do we calculate a confidence interval using t*?The confidence interval is often used to obtain the true population mean. The question asks us to identify evidence that points to the fact that the mean amount of water drank by each teenager is more than 1.5 liters.
We are here searching for the true population mean. We calculate a confidence interval using t when the population variance is not known as is the case here. So, to solve this question, we would calculatethe confidentce interval using t*.
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Choose the brand of chips with the lowest price per ounce.Brand A 20 ounces for $2.50Brand B 32 ounces for $3.25 O Brand AO Brand BO Both brands have the same price per ounce.O Not enough information is given
Answer:
Brand B
Explanation:
The cost for each brand is given below:
• Brand A: 20 ounces for $2.50
,• Brand B: 32 ounces for $3.25
To determine the price per ounce for each brand, divide the cost by the number of ounces.
[tex]\begin{gathered} \text{Price Per Ounce for Brand A: }\frac{\$2.50}{20\text{ ounces}}=\$0.13\text{ per ounce} \\ \text{Price Per Ounce for Brand B: }\frac{\$3.25}{32\text{ ounces}}=\$0.10\text{ per ounce} \end{gathered}[/tex]This, we see that Brand B has the lowest price per ounce.
A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15.
Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing?
(–6, –3)
(–3, –1)
(–3, 0)
(–6, –5)
(–6, –3)
(–3, –1)
(–3, 0)
(–6, –5)
The function is increasing over the interval (-3,-1).
A table with x and f(x) values are given as:
x f(x)
-6 34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
We have to check whether this function is increasing or not in the intervals (–6, –3), (–3, –1), (–3, 0), (–6, –5).
A function is said to be increasing over an interval (x, y), if for x < y, it follows that f(x) < f(y).
Consider the intervals one-by-one.
For (-6, -3), we have the function values in between which are 34 > 3 > -10 > -11. So in this interval the function is not increasing but decreasing over the x-values in (-6, -3).
For (-3, -1), the corresponding function values are -11 < -6 < -1. Here the function values are increasing over the x-values in the interval (-3, -1).
For (-3,0), the corresponding function values are -11 < -6 < -1 >-2. Since we got -1 > -2 in the interval (-3,0), the function is not increasing here also.
For (-6,-5), the corresponding function values are 34 > 3. So the function is not increasing but decreasing.
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Find the slope intercept form of 5x+20y=600
PLEASE SHOW ALL STEPS!!!!!!!
Answer:
[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]
[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]
[tex]\textsf{$y$-intercept}: \quad 30[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]5x + 20y = 600[/tex]
To convert the given equation to slope-intercept form:
Subtract 5x from both sides.Divide both sides by 20.[tex]\boxed{\begin{array}{rccccccc}5x &+ & 20y & = & 600&&&\\-5x & & & && -5x &&\\\\\cline{1-8}\\& & \dfrac{20y}{20} & = & \dfrac{-5x}{20} & + & \dfrac{600}{20}\\\\&& y&=&-\dfrac{1}{4}x & + & 30\end{array}}[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]
[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]
[tex]\textsf{$y$-intercept}: \quad 30[/tex]
On a cold day, the temperature in a certain city changed −34.08°f over 4.8 hours. what was the average change in temperature per hour? enter your answer as a decimal. question 3 options: 7.1 -7.1 163.584 -163.584
The average change in temperature per hour is 7.1°.
Given, the temperature in a certain city changed to 34.084°F
over 4.8 hours.
the average change in temperature per hour = ?
average temperature = change in temperature/time taken.
= 34.08/4.8
= 71/10
= 7.1°f
the change in temperature is 7.1°f
Hence the change in temperature per hour is 7.1°f.
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You and your friend, who lives in a different city, are comparing the malls in your respective cities. Your friend describes the locations of some of the ma stores in the following way.
The music store (M) is due north of the bookstore (B) along hallway 1. The shoe store (S) is due east of the music store along hallway 1. The clothing store (C) is northeast of the music store along hallway 2 so that Z MSC is obtuse.
The shoe store and clothing store are on hallway 2. The arcade (A) is southeast of the bookstore along hallway 3
en -
so that _ CSA is acute. The shoe store and arcade are on hallway 3. The food court (F) is due east of the shoe store on hallway 1.
a. Connect S to C and A.
b. The shoe store
c. If a book is a paperback, then it is on sale. If a book is on sale, then its sale price is 20% off the original price.
d. If a book is a paperback, then its sale price is 20% off the original price
What is Location diagram?Any diagram that conveys mathematical concepts is referred to as a math diagram. This includes both simple charts and graphs and complex logic and geometrical diagrams. A visual aid can help you understand math and science concepts.
Two parallel columns make up a mapping diagram. The first column represents a function's domain, and the second column its range. To represent the relationship between any two elements, lines or arrows are drawn from domain to range.
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What is the answer to this need a fast answer plssssssssssssssssssss
Answer:
-2
Step-by-step explanation:
hope this helps
Answer:
Slope = -2
Step-by-step explanation:
slope = (y2-y1) / (x2-x1)
choose 2 points
i choose (2, -1), and (5, -7)
slope = (-7 - (-1))/(5-2)
slope = (-6)/3
slope = -2
