The order of operations for the given expression are open exponent, multiplication, and subtraction as per the PEMDAS rule.
What is the PEMDAS rule?PEMDAS rule states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
The expression is given in the question as:
⇒ 5×(3)² - 5
To determine the evaluation of the given expression
⇒ 5×(3)² - 5
We have to apply the PEMDAS rule to the expression
As per the PEMDAS rule, the solution would be:
⇒ 5×(9) - 5
Apply the multiplication operation,
⇒ 45 - 5
Apply the subtraction operation,
⇒ 40
Thus, the order of operations for the given expression are open exponent, multiplication, and subtraction as per the PEMDAS rule.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ2
If families consumed apples and granola bars at constant rates, which food had the higher unit rate per hour? Write an equation that represents the rate apples were consumed per minute Write an equation that represents the rate granola bars were consumed per minuteEnter the equation in y=mx format
Answer:
• Apples: y=1/6x
,• Granola bars: y=1/5x
Explanation:
Apples
First, we calculate the unit rate for the consumption of apples.
Using the points (0,0) and (12,2):
[tex]\begin{gathered} \text{Unit Rate=}\frac{2-0}{12-0} \\ =\frac{2}{12} \\ =\frac{1}{6} \end{gathered}[/tex]Therefore, an equation that represents the rate apples were consumed per minute is:
[tex]y=\frac{1}{6}x[/tex]Granola Bars
We calculate the unit rate for the consumption of granola bars.
Using the points (0,0) and (60,12):
[tex]\begin{gathered} \text{Unit Rate=}\frac{12-0}{60-0} \\ =\frac{12}{60} \\ =\frac{1}{5} \end{gathered}[/tex]Therefore, an equation that represents the rate apples were consumed per minute is:
[tex]y=\frac{1}{5}x[/tex]During a sleepover, Jayden played karaoke with her friends. Her song was 5 minutes long. She had already sung for 2 minutes. Which equation could be used to see how much longer she will have to sing?
x + 2 = 5
x + 3 = 5
x − 2 = 5
x + 2 = 7
Answer:
A or #1: x+2=5
Step-by-step explanation:
There is an unknown amount of minutes left to sing, and we already know that she has sung for 2 minutes. so x+2. And we know that she is singing a 5 min. song, so the unknown value plus the 2 minutes we know she has already sung should add up to 5 mins.. So x+2=5 would be the correct answer.
Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include the terms, "greater than", "greater than or equal to", "less than", or "less than or equal to".
Solution:
Given the expression:
[tex]-3<0[/tex]In verbal statement, we can conclude that:
negative three is less than zero.
The third option is the correct answer.
Which of the following is a Pythagorean Triple?
A 2,3,4
B 5,6,7
C 3,4,5
D 8, 16, 17
Answer:
C) 3, 4, 5
Step-by-step explanation:
The rule for Pythagorean Triple is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
3, 4, 5 is one of the most commonly known triple and it proves the triple rule since
[tex] { 3}^{2} + {4}^{2} = {5}^{2} [/tex]
I need to know if it’s A, B, COr D
Answer:
The congruence statement that is true among the options is;
[tex]JK\cong LM[/tex]
Explanation:
Given the figure in the attached image.
The chords JK and LM are equidistant from the center V of the circle.
Shown by AV and CV.
Since;
[tex]AV\cong CV[/tex]Then applying the equidistant chord theorem.
This states that two chords are congruent if and only if they are equidistant from the center of the circle;
So, since;
[tex]AV\cong CV[/tex]Then;
[tex]JK\cong LM[/tex]Therefore, the congruence statement that is true among the options is;
[tex]JK\cong LM[/tex]
How do you write 1.5 × 10^2 in standard form?
Answer: 1.5 x 10 x 10 (I think)
Step-by-step explanation:
10^2 = 10 x 10
1.5 x 10 x 10
I need help solving this it’s a radical equation I would appreciate the help:0
The given expression is
[tex]\sqrt[]{6x\text{ }}+\text{ 3 = }\sqrt[]{9x\text{ + 19}}[/tex]We would square both sides of the expression. It becomes
[tex]\begin{gathered} (\sqrt[]{6x}+3)^2\text{ = (}\sqrt[]{9x+19)^2} \\ (\sqrt[]{6x}\text{ + 3)(}\sqrt[]{6x}\text{ + 3) = 9x + 19} \\ On\text{ the left, we would multiply each term in both parentheses. } \\ \sqrt[]{6x}\times\sqrt[]{6x}\text{ + 3}\sqrt[]{6x}\text{ + 3}\sqrt[]{6x}\text{ + 3}\times3\text{ = 9x + 19} \\ 6x\text{ + 6}\sqrt[]{6x}\text{ + 9 = 9x + 19} \\ \text{Collecting like terms, we have} \\ 6\sqrt[]{6x}\text{ = 9x - 6x + 19 - 9} \\ 6\sqrt[]{6x}\text{ = 3x + 10} \\ \text{There is still a radical on the left hand side. We would square both sides} \\ of\text{ the equation.} \\ (6\sqrt[]{6x)^2}=(3x+10)^2 \\ 6^2\times6x\text{ = (3x + 10)(3x + 10)} \\ 216x=9x^2\text{ + 30x + 30x + 100} \\ 216x=9x^2+60x\text{ + 100} \\ 9x^2\text{ + 60x - 216x + 100 = 0} \\ 9x^2-\text{ 156x + 100 = 0} \end{gathered}[/tex]We have a quadratic equation. The general form of a quadratic equation is expressed as
ax^2 + bx + c = 0
By comparing our equation with the quadratic equation, we have
a = 9, b = - 156, c = - 100
We would solve for x by applying the general formula for solving quadratic equations which is expressed as
[tex]\begin{gathered} x\text{ =}\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\text{ } \\ \text{substituting the given values, } \\ x\text{ = }\frac{-\text{ - 156 }\pm\sqrt[]{(-156)^2^{}-\text{ 4}\times9\text{ x }100}}{2\times9} \\ x\text{ = }\frac{156\text{ }\pm\sqrt[]{24336-\text{ 3600}}}{18} \\ x\text{ = }\frac{156\text{ }\pm\sqrt[]{20736}}{18} \\ x\text{ = }\frac{156\text{ + 144}}{18}\text{ or x = }\frac{156\text{ - 144}}{18} \\ x\text{ = }\frac{300}{18}\text{ or x = }\frac{12}{18} \end{gathered}[/tex]Dividing the numerators and denominators by 6, we have
x = 50/3 or x = 2/3
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks he still owed his friend $90. Write and equation for L in terms of T representing the amount Jordan owes his friend after t weeks
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Graph the approximate value of √15
_______ __________________________________
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
is the √15 rational or irrational
Is the point you graphed an estimated or exact answer? Explain why
PLS HELP
Answer:
It is irrational
Step-by-step explanation:
√15=3.8•••
Determine the value of b.
b3 = 125
b = 41.7
b = ±41.7
b = 5
b = ±5
Answer:
b^3 = 5
Step-by-step explanation:
b^3 = 125
cube root of b^3 = cube root of 125
the cube root of 125 is 5
-5 is not an equivalent solution (-5)(-5)(-5) =/ (not equal to) 125
so b=5
remember ± means if -5 and 5 are equal to 125, in this case it is not...so its just 5.
I hope I explained this well!
The value of b for the expression b³ = 125 is 5.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
b³ = 125
Cube root on both sides.
b = ∛125
b = 5
We can not use -5 because.
-5 x -5 x -5 = -125
This is not possible
Thus,
The value of b is 5.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Select all the epressions tha repersent the total area of a rectangle
options:
5( a+b)
5+ab
5a+5b
2(5+a+b)
(5ab)
The total area of a rectangle is 5 (a+b) i.e., option a is correct.
The area of a rectangle:
The area of a rectangle is the product of length and breadth.
Area of rectangle = length × breadth
Here the length = a + b
height = 5
So area of a rectangle = (a+ b) × 5
= 5(a+b)
Therefore the area of a rectangle is 5(a + b).
To know more about the area of a rectangle refer to the link given below:
https://brainly.com/question/2607596
#SPJ1
I need to see which ones are translations,dilations,reflections and I forgot the other one
option A and option C are dilation.
Option B and option D are translation.
No reflection.
Which function has the greatest y-intercept?Group of answer choicesf(x)g(x)h(x)All three functions have the same y-intercept.
Three functions are given. It is required to find the greatest y-intercept of the three functions.
To do this, find the y-intercept of each function and check which of them has the greatest value.
The given equation for f(x) is:
[tex]f(x)=-3x-5[/tex]Notice that this is a linear function in the slope-intercept form, y=mx+c.
Where m is the slope and c is the y-intercept.
Compare to the given equation; it follows that the y-intercept of f(x) is c=-5.
The y-intercept of f(x) is -5.
The graph of g(x) is given.
Recall that the y-intercept is the point where the graph of a function intersects the y axis.
Hence, the y-intercept of g(x) is -3.
The equation for h(x) is:
[tex]h(x)=2\cos\left(2x-\pi\right)+4[/tex]To find the y-intercept, substitute x=0 into the equation:
[tex]\begin{gathered} h(0)=2\cos\left(2(0)-\pi\right)+4 \\ \Rightarrow h(0)=2\cos\left(0-\pi\right)+4=2\cos(-\pi\rparen+4 \\ \Rightarrow h(0)=2(-1)+4=-2+4=2 \end{gathered}[/tex]Hence, the y-intercept of h(x) is 2.
It follows that h(x) has the greatest y-intercept.
Bobby delivered 9/10 of the mail. How much more mail does Bobby have to deliver?
a.2/10
b.1/10
c.10/10
d.9/10
The amount of mail that is remaining for Bobby to deliver is = 1/10.
What is fraction?Fraction is defined as the representation that shows part of an expression which is usually represented by a numerator and a denominator.
The numerator is usually located above the division line while the denominator is located below the division line.
From the given value for the number of mails delivered which is = 9/10. This shows that out of 10 mails only 9 has been delivered remaining 1 mail.
Therefore, 1/10 of the mail is yet to be delivered.
Learn more about fraction here:
https://brainly.com/question/17220365
#SPJ1
Which are the better statistics to use to compare the team scores?27Team A's scoresHO27 29 31 33 35 37 39 41Team B's scoresHhi2931 3335 37 39 4143 4543 45
A. Median and I
1) When we have to face questions like these in which there are two boxplots, we can compare the medians to locate the middle number of each distribution.
Team A's scores' median: 33
Team B's scores' median: 31
2) The next item to check is the dispersion of the data, so we'll resort to the Interquartile Range.
3) Thus, the answer is A
James counts down in 9's starting from 345 until he passes zero. Which will be the last
positive number which he counts?
Answer:
3
i worked it out the hard way
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
A rectangular shaped parking lot is to have a perimeter of 656 yards if the width must be 82 yards because of a building code what will the length need to be
The length of the rectangular shaped parking lot will be: 246 yards.
What is the Perimeter of a Rectangular Shape?A rectangular shape has a width and a length. The perimeter of the rectangular shape is simply the sum of all its width and its length. The formula for the perimeter of the rectangular shape would therefore be:
Perimeter = 2(length + width).
Given the following:
Perimeter of the rectangular shaped parking lot = 656 yards
Width of the rectangular shaped parking lot = 82 yards
Length = x = ?
Plug in the values into the perimeter formula for a rectangular shape:
2(x + 82) = 656
Divide both sides by 2
2(x + 82)/2 = 656/2
x + 82 = 328
x + 82 - 82 = 328 - 82
x = 246
Length would need to be 246 yards.
Learn more about perimeter of rectangle on:
https://brainly.com/question/24571594
#SPJ1
Points A,B,C are collinear points where B is between A and C. if AC = 22, AB =10. find BC
ANSWER
[tex]BC=12[/tex]EXPLANATION
First, let us make a sketch of the three points:
As we can see, AC is made up of AB and BC.
This means that the length of AC is the sum of the lengths of AB and BC.
That is:
[tex]\begin{gathered} AC=AB+BC \\ \Rightarrow BC=AC-AB \\ BC=22-10 \\ BC=12 \end{gathered}[/tex]The value of BC is 12.
Open Response Respond to the following question using pictures, numbers, and complete sentences! 2 points 2 - The response shows a complete understanding of the concept or task, logical reasoning and conclusions, and correa set up and/or computations. The response contains minor flaws in reasoning, neglects to address some uspect of the task, or contains a computational error. 0 - The response indicates no mathematical understanding of the concept or task, or if a student fails to respond to the item. 1 Front and back section tickets are available to a performance. Front section tickets are $45 and back section tickets are $25. There are 18 rows with 39 seats in each row in the front section, and 27 rows with 4 seats in each row in the back section. If of all the front row seats and 7 of all the back row seats are sold, how much is the total ticket sales. Show your work.
We have two sections tickets Front and Back, the information we have is:
Front section:
• Ticket price: $45
,• Seats: 18 rows with 39 seats each one: 18*39=702 seats
,• Seats sold: 5/6 of total seats: 5/6*702=585 seats.
Back section:
• Ticket price: $25
,• Seats: 27 rows with 4 seats each one: 27*4=108 seats
,• Seats sold: 7/9 of total seats: 7/9*108=84 seats
The total ticket sales is:
[tex]undefined[/tex]2 to the negative fifth power
Answer: 0.03125
Step-by-step explanation:
Answer:
.03125
Step-by-step explanation:
2^-5 = 1 / 2^5 = 1/32 = .03125
what is the image point of (3,9) after a translation right 3 units and up 1 unit.
WILL GIVE BRAINLIEST IF U GET IT RIGHT
Answer:
4,6
Step-by-step explanation:
Answer:
The answer would be (6, 10).
The Busy Bee store bottles fresh jars of honey at a constant rate. In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey.
Determine the constant of proportionality.
36
12
4
0.08
The constant of proportionality that Busy Bee store bottles of fresh jars of honey is 12 hours.
What is the constant of proportionality?The rate at which the fresh jars of honey is stored increases with time. This means that there is a direct proportional relationship between the jars of honey stored and time.
When there is a direct proportion, the two variables move in the same direction. As time increases, the jars of honey stored increases.
The equation that is used to represent direct proportion is:
y = bx
Where:
y = dependent variable = jars of honey stored b = constant of proportionality x = independent variable = number of hours36 = b3
b = 36 / 3
b = 12 hours
84 = 7b
b = 84 / 7
b = 12 hours
To learn more about constant of proportionality, please check: https://brainly.com/question/22620356
#SPJ1
Answer:
12 hours!
Step-by-step explanation:
Below i will place my work.
36 = b3
b = 36 / 3
b = 12 hours
84 = 7b
b = 84 / 7
b = 12 hours
Therefore your answer is 12 hours!!!!
I know its a late answer, but brainiest is always appreciated if you want!
Thx! (goodluck on your exam)
Question 1-13
The table below shows the high temperatures for Barrow, Alaska, for three days.
High Temperatures for Barrow, AK
Temperature (°F)
-14
-10
-3
Based on the data in the table, which statement about the temperatures is correct?
Day
Monday
Tuesday
Wednesday
O
Monday was the warmest day because | -14° is farther from zero than | -3°| or
| -10°.
O Wednesday was colder than Monday because | -3° is closer to zero than | -14°.
O Tuesday was colder than Wednesday because | -10° is farther from zero than | -3°|.
O Tuesday was warmer than Wednesday because | -10° is closer to zero than | -3°.
Third option is correct, Tuesday was colder than Wednesday because -10° is farther from zero than -3°.
What is inequality?Inequality is used to compare between two values. The signs of inequality are [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex]
< is used to check whether one value is less than other value or not
> is used to check whether one value is greater than other value or not
[tex]\leq[/tex] is used to check whether one value is less than or equal to other value or not
[tex]\geq[/tex] is used to check whether one value is greater than or equal to other value or not
Temperature on monday = -14
Temperature on Tuesday = -10
Temperature on Wednesday = -3
-14 < -10 < -3
So Monday was the coldest day
Tuesday was warmer than monday but colder than wednesday
Wednesday was the warmest day.
As -10° is farther from zero than -3°, Tuesday was colder than Wednesday.
So third option is correct
To learn more about inequality, refer to the link:
https://brainly.com/question/11613554
#SPJ13
shnshshshshshwhwhwhwhw
Question:
Solution:
Consider the following system of equations:
[tex]y=x^2-3x-8[/tex][tex]y\text{ = 3x+8}[/tex]then, the above system of the equation has a solution if both equations are equal, that is:
[tex]x^2-3x-8\text{ = 3x+8}[/tex]this is equivalent to say:
[tex]x^2-3x\text{ + 3x -8 +8 = 0}[/tex]this is equivalent to:
[tex]x^2\text{ = 0}[/tex]then
[tex]x\text{ = 0}[/tex]now, replacing the above value in the second equation, we obtain:
[tex]y\text{ = 3(0)+8}=\text{ 0+8 = 8}[/tex]thus:
[tex]y\text{ = 8}[/tex]then, we can conclude that the correct answer is:
[tex]x\text{ = 0 }[/tex]and
[tex]y\text{ = 8}[/tex]that is 0 and 8.A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of xx.
For the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
As given in the question,
In a given triangle,
Measure of exterior angle is equal to 135°
Exterior angle +Adjacent interior angle = 180°
⇒ 135° + Adjacent interior angle = 180°
⇒ Adjacent interior angle = 180° -135°
⇒ Adjacent interior angle = 45°
In a triangle,
Sum of opposite interior angles = Measure of exterior angle
⇒ x° + 112° = 135°
⇒ x° = 135° -112°
⇒ x° = 23°
Therefore, for the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
Learn more about exterior angle here
brainly.com/question/28835566
#SPJ1
Can someone help me with these probability questions it’s only a two parter?
Given:
The number of players on the basketball = 14 players.
The number of juniors =6 players.
The number of seniors = 8 players.
Coach Banet decided to choose three players.
Required:
A. We need to find different orders of the top three finishers.
B. We need to find the probability that the top three finishers will all be seniors.
Explanation:
A.
There is not important to choose in the order which players are the top three finishers.
Use combinations.
The number of students, n=14.
The number of the top three finishers, r =3.
[tex]nC_r=14C_3[/tex][tex]=\frac{14!}{3!(14-3)!}[/tex][tex]=\frac{14!}{3!\cdot11!}[/tex][tex]=364[/tex]Answer:
[tex]nC_r=\frac{14!}{3!\cdot11!}=364[/tex]B.
The number of seniors = 8 players.
The number of top-finishers =3.
[tex]8C_3=\frac{8!}{3!(8-3)!}=\frac{8!}{3!\cdot5!}=56[/tex]There are 56 different orders of top finishers that include all seniors.
[tex]The\text{ possible outcome=}14C_3[/tex][tex]T\text{he favorable outcome =}8C_3[/tex]The probability that the top three finishers will all be seniors.
[tex]P=\frac{8C_3}{14C_3}[/tex][tex]Use\text{ }14C_3=364,\text{ and }8C_3=56.[/tex][tex]P=\frac{56}{364}[/tex][tex]P=0.1538[/tex]Multiply by 100 to get a percentage.
[tex]P\text{ \%}=0.1538\times100[/tex][tex]P\text{ \%}=15.38\text{ \%}[/tex][tex]P\text{ \%}=15.4\text{ \%}[/tex]Answer:
There are 56 different orders of top finishers that include all seniors.
The probability that the top three finishers will all be seniors is 15.4 %
1)
B)
The number of juniors = 6 players.
The number of players in the group =3.
There is not important to choose in the order which players are selecting.
Use combinations.
[tex]6C_3=\frac{6!}{3!(6-3)!}=\frac{6!}{3!\cdot3!}=20[/tex]Answer:
Two terms represent the number of players that are all juniors.
[tex]6C_3\text{ }and\text{ }20[/tex]y={4x+2, if x < -4 } {2x-6, if x>= -4 }Graph the piecewise function.
For values of x less than -4 , the function is
y= 4x+ 2 ( not including -4)
y=mx+b
Where:
m= slope (rise / run)
b= y-intercep ( where the line crosses the y axis)
For values of x greater or equal to -4, the function is y=2x-6
i need help with this
Answer:
18084, 180968Step-by-step explanation:
You want to find the value of x, given that supplementary angles are 83° and (12x+1)°.
Step 1The two angles shown are supplementary, so their sum is 180°:
[tex]83^\circ+(12x+1)^\circ=\boxed{180}^\circ[/tex]
Step 2Simplifying the expression by combining like terms and dividing by °, we have ...
[tex]12x +\boxed{84}=\boxed{180}[/tex]
Step 3Subtracting 84 from both sides gives ...
[tex]12x=\boxed{96}[/tex]
Step 4Dividing both sides by 12, we get ...
[tex]x=\boxed{8}[/tex]
What is the PEMDAS for this question: 1 x 4 + 40 / (6 + 2) + 8 - 8
