By using basic arithematic operations we concluded that the temperature at 6 pm was - 9.8°F.
What are fundamental arithematic operations?Arithmetic operation is the study of numbers and the operations on numbers that are used in all other branches of mathematics. It primarily consists of basic operations like addition, subtraction, multiplication, and division.
The temperature at 09:00 am = -6.9°F.
The tempertaure increased by 5.4°F till noon
So, the final tempertaure at noon = - 6.9°F + 5.4°F
= - 1.5°F
Then, again the temperature increased by 7.2°F from noon till 3 pm.
So, the final tempertaure at 3 pm = - 1.5°F + 7.2°F
= 5.7°F
Then, again the temperature by dropped 15.5°F from 3 pm to 6 pm.
So, the final tempertaure at 6 pm = 5.7°F - 15.5°F
= - 9.8°F
Therefore the temperature at 6 pm was - 9.8°F.
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2.28times10^9 3times10^8
What is the missing side length?
Answer:
12 yd
Step-by-step explanation:
Since the questions says "assuming that all intersecting sides meet at right angles" means that this shape is made up of 2 rectangles :
So Opposite 16 yd should be the 4 yd at the bottom + missing side
So the answer is 12 yd
Hope this helped and you understood and have a good day
identify the coefficient and the exponent for each term of the equation in the photo, thanks!
Answer:
Leading coefficient: 2
Exponential term: 2x⁵
Hope this helps.
Answer:
2 and ^5
Step-by-step explanation:
cause the coefficients are the bigger numbers in the beginning
2x-2(5x-3)=4x-6
Solve for X
Step-by-step explanation:
2x-10x+6=4x-6
2x-10x-4x=-6-6
-12x=-12
x=1
$7.99 by 16.2 ounces
Answer:
.49 if you're dividing them.
Step-by-step explanation:
abby can buy an 8-pound bag of dog food for7.40 or a 4-pound bag of the sane dog for 5.38 which is the better buy
PLEEEEZZ HALP 50 POINTS
what is the inverse of the function
Answer:
the first one
Step-by-step explanation:
Eight less than five times a number is four more than eight times the number. Find the number.
Answer:
n = -4
Step-by-step explanation:
let the number = n
eight less than = .... minus 8
five times a number =n * 5
eight less than five times n = n * 5 minus 8 = n*5 -8
is means equal to
four more than = .... plus 4
eight times the number = n* 8
four more than eight times the number = n*8+4
n*5-8 is n*8 +4
n*5-8=8n+4
subtract 5n from both sides to put all variables and coefficients on one side
-8 = 3n + 4
subtract 4 from both sides to isolate the variable and coefficient
-12 = 3n
divide both sides by 3 to get n
n = -4
Shoreside Bikes is a bike rental company that charges tourists by the hour as
shown in the table. Use the table to fill in the missing representations.
Which proportions can be used to find the length of side YZ?
Answer:
The two shapes are similar, therefore, [tex]\frac{\text{KJ}}{\text{WZ}} = \frac{\text{JM}}{\text{YZ}}[/tex]
[tex]\frac{12}4 = \frac6n\\\to 3n = 6\\\to n =2[/tex]
The side length YZof a trapezoid WXYZ will be 2 cm.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
The side lengths are given as:
JK = 12 cm
MJ = 6 cm
WX = 4 cm
WZ = n cm
From the diagram, the trapezoid JKLM is similar to the trapezoid WXYZ.
If the two polygons are similar then the ratio of the corresponding sides of the polygon is constant. The ratios are written as,
JK/WX = KL/XY = LM/YZ = MJ/ZW
JK/WX = MJ/ZW
12/4 = 6/n
3 = 6/n
n = 6/3
n = 2
The side length YZof a trapezoid WXYZ will be 2 cm.
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how do i simplify 4² X 4 ^4 / 4^3
Answer:
4³
Step-by-step explanation:
using the rules of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
then
4² × [tex]4^{4}[/tex] / 4³
= [tex]4^{(2+4)}[/tex] / 4³
= [tex]4^{6}[/tex] / 4³
= [tex]4^{(6-3)}[/tex]
= 4³
what is the greatest common factor of 28 and 91
chapter 8
2.Find the volume of each figure. Round your answers to the nearest hundredth, if necessary.
The volume of the figure in the nearest hundredth is 67 mi³
How to determine the volume
The formula for determining the volume of a sphere is expressed as;
Volume = 4/ 3 πr³
Where;
π takes the value = 3. 14r is the radius of the sphere = 4 miTo determine the volume, we have to substitute the values of the parameters into the formula
Volume = 4/ 3 × 3. 14 × (4)²
Find the value of the square
Volume = 4/ 3 × 3. 14 × 16
Multiply through
Volume = 200. 96/ 3
Find the quotient
Volume = 66. 98
Volume = 67 mi³
Thus, the volume of the figure in the nearest hundredth is 67 mi³
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Suppose you go shopping for a new futon bed for your room. The model you really like happens to be on sale for $200. It's original price is $500. What percent of the original price will you save if you purchase it?
Round your percentage to one decimal place.
Do not include
%
sign with your answer.
60 percent of the original price is saved if the futon bed is purchased.
The percent of the original price that will be saved can be calculated as followsThe original price of the futon bed is $500
The new price is $200
The first step is to calculate the price change
Price change= 500-200
= 300
The amount saved can be calculated as follows
300/500 × 100
= 0.6 × 100
= 60
Hence 60 percent of the original price which is $500 will be saved
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Solving quadratic equations problem
Explain why you use addition to
check subtraction.
Answer: The reason that you would use addition to check subtraction is because it is the easiest, fastest, and most reliable way to check your subtraction problem.
Step-by-step explanation:
for example. you do something like: 42 - 19 = 23
you just add 19 and 23. if you get 42 then that means your answer if correct.
hope it helps
Two boxes are shown below. What is the combined volume? Show your work
Check the picture below.
The solution is, the combined volume of the boxes is 180 unit cube.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
from the given diagram, we get,
there is two boxes in the diagram.
now, we have to find the combined volume.
here, we get,
the boxes are cuboids.
we know that,
Volume of cuboid = length * width * height
V = l*w*h
here, we get, from the figure,
for 1st box, l = 3, w = 5 , h = 8
so, V = 3 * 5 * 8 = 120
and, for 2nd box, l = 4, w = 5, h = 3
so, V = 4*5*3 = 60
we get, the combined volume 120 + 60 = 180
Hence, The solution is, the combined volume of the boxes is 180 unit cube.
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What point in the feasible region maximizes the objective function?
For the given maximization problem there is no the point in the feasible region which maximizes objective function C = 7x -3y.
What is feasible region ?A feasible region in any optimization problem is the collection of all the points where all the given constraints are satisfied.
For maximization problem, we will use the corner points of the feasible region and then we will check that on which corner point the objective function is maximum.
Given problem is:
Maximize Objective function C = 7x-3y
When the constraints are (i) x≥0 , (ii) y≥0 , (iii) -x+5 ≤y
(iv) y ≤ (1/3)x +1
We will graph these constraints and find the common shaded area.
x≥0,y≥0 represents that the point is in 1st quadrant
For -x+5 ≤y, we will use -x +5 =y
When x= 0 then y=5 and when y=0 then x=5 , then -x +5 =y is a line passing through (0,5) and (5,0)
and on putting (0,0) in -x+5 ≤y we get 5≤0 which is a false statement .
Therefore -x+5 ≤y is region starting with line -x +5 =y and going in direction to opposite to that of (0,0)
For y ≤ (1/3)x +1, we will use y = (1/3)x +1
When x= 0 then y=1 and when y=0 then x=-3 , then y= (1/3)x +1 is a line passing through (0,1) and (-3,0)
and on putting (0,0) in y ≤ (1/3)x +1 we get 0≤1 which is a true statement .
Therefore, y ≤ (1/3)x +1 is region starting with line y = (1/3)x +1 and going in direction of (0,0).
Thus we got the feasible region as shaded in the below attached figure.
The shaded area is unbounded , therefore no point of maximum exist on the feasible region.
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PLSSS I NEED AN ANSWERR
find the midpoint of the segment with the given endpoints. (-1,5) and (-6,-8)
Answer: The midpoint is 1/2
Step-by-step explanation: The formula we are using for this problem is (x1+x2/2, y1+y2/2) I substitute the points for the equation and it looked likes this (-1-6/2)(5-8/2) and got 5/2-3/2 and the final answer is 1/2!
Hope this helped C:
Answer:
( -3 1/2, -1 1/2) or as a desimal (-3.5, -1.5)
Step-by-step explanation:
Brainliest please
Find the greatest common factor: 9ab2, 108ab3
The greatest common factor of 9ab², 108ab³ is 9ab².
What is the greatest common factor?The factor of a number is the number that divides a number evenly; without any remainders. The factors of a number can either be positive or negative. For example, a factor of 10 is 2. This is because 10 divided by 2 is 5. 2 divides 10 evenly.
The greatest common factor is the highest factor that is common to two or more numbers. The highest common factor of 10 and 20 is 10. This is because it is the greatest common factor that is common to both numbers.
Factors of 9ab², 108ab³ = 3ab², 9ab²
The greatest common factor = 9ab²
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8:50+ 7 hours and 35 minutes
Answer:
4:25 I think
Step-by-step explanation:
just added them all up I don't know if that's what you needed yho
Answer:
15:85 or 4:25
Step-by-step explanation:
jfhfjfjfjfjfndndndndndjdjfjfnnfjfjdjfjfjf
The number -3 is an integer and a rational number.
Answer:yes
Step-by-step explanation:
1x-27³ asnswer plsss
Answer:
1x - 19683
Step-by-step explanation:
(I have to assume you meant to simplify the equation)
27 to the third power can also be written as: 27 * 27 * 27
That equals 19683
So the equation would be: 1x - 19683
What is the area, in squared feet, of a rectangle whose length is three times its
width which is 4 feet?
Mrs. Burke’s geography class has 106 students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday’s work.
Mrs. Burke’s Geography Class
Academic Year Geography Majors Non-Geography Majors
Freshmen 15 14
Sophomores 11 16
Juniors 13 11
Seniors 14 12
Step 2 of 2 : What is the probability that she selects a senior, given that she chooses a non-geography major? Enter a fraction or round your answer to 4 decimal places, if necessary.
Probability is the measure of the likelihood that an event will occur in a Random Experiment. The probability of selecting a senior from non geography is 0.1132
What is probability?Probability is the measure of the likelihood that an event will occur in a Random Experiment
Given
Geography Majors Non Geography Majors
Freshmen 15 14
Sophomores 11 16
Juniors 13 11
Seniors 14 12
The total number of students are 106
The number of seniors in non geography is 12
So probability of selecting one senior from 106 is 12/106
Probability(senior of non geography)=12/106=0.1132
Therefore required probability is 0.1132.
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The Sugar Sweet Company is going to transport its sugar to market. It will cost $400 to rent trucks plus $20 for each crate of sugar transported. The total cost, C (in dollars), for transporting crates is given by the following function.
C(n) = 400+20n
Describe the meaning of c(3) in the context.
The cost of transporting _ crates of sugar is _ dollars.
Answer:
Blanks: 3 and 460Step-by-step explanation:
C(3) means the cost of transporting 3 crates of sugar.
It is calculated by substituting the value of n into equation:
C(n) = 400+20nC(3) = 400 + 20*3 = 400 + 60 = 460The cost of transporting 3 crates of sugar is 460 dollars
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i can't graph it for you but
x is greater than or equal to 7
For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term.
a. f(x) = (x + 1)(x+3)(x-4)
b. g(x) = 3(x + 1)(x+3)(x-4)
a. The stand form is f(x) = x^3 - 13x - 12
degree = 3
constant term = - 12
b. The stand form is g(x) = 3 x^3 - 39x - 36
degree = 3
constant term = - 36
Given data
f(x) = (x + 1)(x+3)(x-4)
g(x) = 3(x + 1)(x+3)(x-4)
How to find the standard form of the polynomialsfor f(x) = (x + 1)(x+3)(x-4) we have
f(x) = (x + 1)(x+3)(x-4)
f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )
f(x) = (x + 1) ( x^2 - x - 12 )
f(x) = x^3 - x^2 - 12x + x^2 - x - 12
f(x) = x^3 - 13x - 12
degree = 3
constant term = -12
g(x) = 3(x + 1)(x+3)(x-4)
g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )
g(x) = 3(x + 1) ( x^2 - x - 12 )
g(x) = 3 ( x^3 - x^2 - 12x + x^2 - x - 12 )
g(x) = 3 ( x^3 - 13x - 12 )
g(x) = 3 x^3 - 39x - 36
degree = 3
constant term = - 36
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Solve the literal equation for y 5x-2=8+5y
Answer:
y = x - 2
Step-by-step explanation:
5x - 2 = 8 + 5y ( subtract 8 from both sides )
5x - 10 = 5y ( isolate y by dividing both sides by 5 )
[tex]\frac{5}{5}[/tex] x - [tex]\frac{10}{5}[/tex] = y , that is
y = x - 2
Value: 2
Looking at the list of equalities below, which property does equality 2 demonstrate?
Equality 1: 8x5 = 5x8
Equality 2: (8x5) x 6.75 = 8 x (5x6.75)
Equality 3: 8 x (5+6.75) = 8 x 5 +8 x 6.75
Equality 4: 8x1 = 8
a. Commutative property of multiplication
O b. Distributive property
O c. Identity property of addition
O d. Associative property of multiplication
Check Answer
The property which equality 2 demonstrate is: d. Associative property of multiplication.
What is the associative property of multiplication?The associative property of multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged (grouped).
This ultimately implies that, the associative property of multiplication suggest that the way in which factors are arranged (grouped) when multiplying three (3) numbers does not change the product.
Mathematically, the associative property of multiplication can be represented by this expression:
(a × b) × c = a × (b × c) ≡ (8 × 5) × 6.75 = 8 × (5 × 6.75)
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