The values of the given summation of units are;
90 mm57.068 g45.034 L78.033 km23.67 g34.089 km80.8 cm121.042L158.8 cg56.333 kg113 km 1/2 m65 m 331 m 1/2 cm141 L 17/12 m/L90 km 34/45 mm94 kg 7/12 g33 kL 4/3 mL110 kg 1261 mg105 L 1/2 cL122 kg 8/15 g110 m 572 2/7 mmWhat are the values of the unit of measurement expressions?The values of the given expressions are;
1. 40 mm + 50 mm = 90 mm
2. 68 mg + 57 g is found as follows;
1000 mg = 1 g
68 mg = 0.068 g
Therefore;
68 mg + 57 g = 0.068 g + 57 g = 57.068 g
3. 45 L + 34 mL is found as follows;
1,000 mL = 1 L
Therefore;
34 mL = 0.034 L
45 L + 34 mL = 45 L + 0.034 L = 45.034 L
4. 78 km + 33 m is found as follows;
1000 m = 1 km
Therefore;
33 m = 0.033 km
78 km + 33 m = 78 km + 0.033 km = 78.033 km
5. 67 cg + 23 g is found as follows;
100 cg = 1g
Therefore;
67 cg = 0.67 g
67 cg + 23 g = 0.67 g + 23 g = 23.67 g
6. 34 km + 89 m
34 km + 89 m = 34 km + 0.089 km = 34.089 km
7. 72 cm + 88 mm
10 mm = 1 cm
88 mm = 8.8 cm
72 cm + 88 mm = 72 cm + 8.8 cm = 80.8 cm
8. 121 L + 42 cL
100 cL = 1 L
Therefore;
121 L + 42 cL = 121 L + 0.042 L = 121.042L
9. 156 cg + 38 mg
10 mg = 1 cg
156 cg + 38 mg = 156 cg + 3.8 cg = 158.8 cg
10. 56 kg + 333 mg
56 kg + 333 mg = 56 kg + 0.333 kg = 56.333 kg
11. 31 km 1/3 m + 82 km 1/6 m = 113 km 1/2 m
12. 48 m 50 cm + 17 m 281 1/2 cm = 65 m 331 m 1/2 cm
13. 97 L 3/4 m/L + 44 L 2/3 m/L = 141 L 17/12 m/L
14. 26 km 5/9 mm + 64 km 1/5 mm = 90 km 34/45 mm
15. 27 kg 1/4 g + 67 kg 1/3 g = 94 kg 7/12 g
16. 30 kL 1/3 mL + 3 kL 1 mL = 33 kL 4/3 mL
17. 87 kg 1024 mg + 23 kg 237 mg = 110 kg 1261 mg
18. 83 L 1/3 cL + 22 L 1/6 cL = 105 L 1/2 cL
19. 93 kg 1/5 g + 29 kg 1/3 g = 122 kg 8/15 g
20. 32 m 572 mm + 78 m 2/7 mm = 110 m 572 2/7 mm
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A = [- 8, 3] and B = (-6, 2)
A U B=
Answer:
Step-by-step explanation:NIDIHNG S,AST3RE TIRWACRE
I THINK THAT UR
Jane travels 3 times as fast as Jill. Traveling in opposite directions, they are 256 miles apart after 8 hours. Find their rates of travel.
Jane is traveling at 26.66 mph
Jill is traveling at 5.33 mph .
let the speed of jane and jill are
Jill = x mph
Jane = 5x mph
where mph= Miles per hour
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
we also write as -
Distance = rate x time
8x + 8(5x) = 256
8x + 40 x = 256
48x = 256
x = 256/48
x = 5.33 mph
jill is traveling at 5.33 miles per hour. We can find jane speed by put the value of x
5 x = 5×5.33
5x = 26.66 mph
So Jane is traveling at 26.66 mph
Jill is traveling at 5.33 mph
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ill give points and brainly
Answer:
400, 440, or 480
Step-by-step explanation:
Without both dots, 400
With one dot, 440
with both dots, 480
Please correct me if I am wrong.
NO LINKS!! Please help me with these graphs. Part 4
Answer:
1. 17.5 units²
2. 16 units²
Step-by-step explanation:
Question 1Given vertices of ΔABC:
A = (-3, 2)B = (4, 2)C = (4, -3)Plot the vertices on the given graph paper and join with line segments to create the triangle.
As point B and C share the same x-coordinate, and points A and B share the same y-coordinate, ΔABC is a right triangle with base AB and height BC.
[tex]\begin{aligned}\textsf{Area of a triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \textsf{Area of $\triangle$ ABC} & = \sf \dfrac{1}{2} \times AB \times BC\\& = \sf \dfrac{1}{2} \times 7 \times 5\\& = \sf \dfrac{35}{2}\\& = \sf 17.5 \:\:units^2\end{aligned}[/tex]
Question 2Given vertices of rectangle WXYZ:
W = (0, 0)X = (2, 2)Y = (6, -2)Z = (4, -4)Plot the vertices on the given graph paper and join with line segments to create the rectangle.
The area of a rectangle is found by multiplying the length by the width. To find the area of rectangle WXYZ, find the length (WZ or XY) and the width (WX or ZY) using the distance formula, then multiply them.
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]
[tex]\begin{aligned}WZ & =\sqrt{(x_Z-x_W)^2+(y_Z-y_W)^2}\\& =\sqrt{(4-0)^2+(-4-0)^2}\\& =\sqrt{(4)^2+(-4)^2}\\& =\sqrt{16+16}\\& =\sqrt{32}\sf \:\:units\\\end{aligned}[/tex]
[tex]\begin{aligned}WX & =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\& =\sqrt{(x_X-x_W)^2+(y_X-y_W)^2}\\& =\sqrt{(2-0)^2+(2-0)^2}\\& =\sqrt{(2)^2+(2)^2}\\& =\sqrt{4+4}\\& =\sqrt{8}\sf \:\:units\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area $WXYZ$} & = WZ \times WX\\& = \sqrt{32} \times \sqrt{8}\\& = \sqrt{32 \cdot 8}\\& = \sqrt{256}\\& = 16\sf \:\:units^2\end{aligned}[/tex]
Find the distance between the points (-4.4 , 9.8 ) and ( -4.4, -6.5).
Step-by-step explanation:
[tex] = \sqrt{ {x2 - x1)}^{2} + (y2 - y1) } \\ = \sqrt{ {( - 4.4 - ( - 4.4))}^{2} + ( { - 6.5 - 9.8)}^{2} } \\ = \sqrt{ {0}^{2} + 265.69 } \\ = 16.3units[/tex]
HOPE THIS HELPS
Amy was scheduled 17 intervals this week.she picked up 4 more intervals during this week
The commitment adherence percentage for the week will be 53%.
How to compute the percentage?
It was stated that Amy was scheduled to service 17 intervals this week. She picked up 4 more intervals during the week.
The following can be deduced based on the information that are given:
Total intervals = 17
Taken intervals = 4+ 3 + 2 = 9
Therefore, the commitment adherence percentage for the week will be:
= 9/17 × 100
= 53%
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Complete question :
Amy was scheduled to service 17 intervals this week. She picked up 4 more intervals during the week. On Friday, she put 3 intervals up for swap. One of them was picked up by someone else. The other two were not so she released them both during the lockdown period. Amy also had technical issues but never did get a waiver, which resulted in her missing an additional 2 intervals. What was her Commitment Adherence percentage for the week? Enter whole numbers (no decimals)
kayla buys a new pair of shoes for $39.99 the sales tax is 6%. what is the total with tax ?
Answer:
$42.38
Step-by-step explanation:
$39.99 x 0.06= 2.39
39.99 + 2.39= $42.38 (total with tax)
Answer:
Step-by-step explanation:
39.99 * 0.06 = 2.4
The total tax equals = 2.4
6% in decimal form is 0.06 multiplied by the total cost of shoes to get the total tax. 2.4
add that to the total to get the total cost with tax = $42.39
Solve the given differential equation's particular solution when the curve passes through the point (a = 1, b = 1).
(b^2+7ab+16a^2)da+a^2db=0
The solution of the given differential equation is;
-1/(b/a + 4) = -㏑|a| - 1/5.
What is defined as the differential equation?A differential equation is a mathematical expression that contains one or even more functions and their derivatives. The function's derivatives characterize the rate of change in a function at a given point.The given differential equation is-
(b² + 7ab + 16a²)da + a²db = 0
Take da common from both;
b² + 7ab + 16a² + a²db/da = 0
The curve passes through the point (a = 1, b = 1).
As, the given differential eq is the homogeneous eq; we can use it as;
Put, b = va
Differentiate above applying product rule.
db/da = (dv/da)a + v
Substitute the value in the main equation;
(va)² + 7a(va) + 16a² + a²( (dv/da)a + v ) = 0
Dividing whole equation by a².
v² + 7v + 16 + (dv/da)a + v = 0
Further simplifying;
(dv/da)a = -(v² + 8v + 16)
(dv/da)a = -(v + 4)²
Bring similar variable together;
dv/(v + 4)² = -da/a
Integrating the equation;
-1/(v + 4) = -㏑|a| + C ; c is the integration constant.
Substitute again the values of v;
-1/(b/a + 4) = -㏑|a| + C ........equation 1
Now use the given points; a = 1; b = 1.
-1/(1/1 + 4) = -㏑|1| + C [㏑|1| = 0]
-1/5 = C
Put the value of C in equation 1.
-1/(b/a + 4) = -㏑|a| - 1/5; is the required differential equation.
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Use the formula kilowatt-hour (kWh) = watts x hours used per day / wattage.
To estimate the maximum kilowatt-hour that each appliance uses per day, per month, and per year. write your answers in scientific notation with a single-digit multipler. Assume 30 days per month and 365 days per year.
2. which appliance uses the least amount of energy per day?
3. which appliance uses the most amount of energy per year? Show your work.
Television - Wattage: 300 Hours per day: 6
Clothes dryer - Wattage: 2,790 Hours per day 4
Refrigerator - Wattage: 225 Hours per day: 24
Find the kWh per day, kWh per month, and kWh per year.
Write all of them in scientific notation.
The clothes dryer uses the maximum energy at 1.018 × 10⁶ kilowatt-hour
Kilowatt-hours are primarily used to sell electrical energy to customers. A device's power consumption in kilowatts, operating time in hours, and price per kilowatt-hour are multiplied to get the cost of running it. Utility companies' charges for power may vary based on the customer's consumption patterns over time. Prices vary widely depending on the location. Prices in the US can differ by a factor of three between states.
A composite energy unit called a kilowatt-hour is defined as one kW sustained for (and multiplied by) one hour. It is equivalent to 3600 kilojoules, or 3.6 MJ, when expressed in the joule (symbol J), the SI's base unit of energy.
So from the given conditions the television uses the least amount of energy per day at 300 kilowatt-hour.
The amount of energy per year:
Television = 300 × 365 = 1.095 × 10⁵ kilowatt-hour
Dryer = 2790 × 365 = 1.018 × 10⁶ kilowatt-hour
Refrigerator = 225 × 365 = 8.213 × 10⁴ kilowatt-hour
Hence the maximum energy is used by the Dryer.
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Does the square of a binomial always include only positive terms?
No, the square of a binomial does not include only positive terms.
How is a binomial expression defined?A mathematical expression with two terms known as a binomial expression cannot be merged unless a variable-eliminating input is provided. Positive integer exponents must be unique for each of the binomial terms. Any exponents must not be negative, zero, or a fraction.
Simplify and combine any "like" terms to add binomials. Different exponents or variables cannot be used in "like" phrases. Add, for instance, the binomials (12x + 3) and (3x - 1).
The square of a binomial may contain negative terms.
For example, (a - b)² = a² + b² - 2ab
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What is the formula to find the height of a triangle when you are just given coordinates, like in the picture.
Im guessing it is Base x Height ÷ 2? My answer is 12, i aplogise if i am incorrect.
Step-by-step explanation:
Just subtract the y coordinate of B with the y coordinate of A (or C).
so since B has a y of 9 and A has a y of 5 the height is
9 - 5 =
4
I need help with the following
I don't really know how to multiply decimals and i'm really confused on it and need some help on 2.4 x 2.5. Help ASAP!!
Answer:
you could use a calculator but if you don't you can follow these steps
Step 1 : to avoid confusion it is easier to remove the decimal points then multiply them (i.e. 24 × 25)
Step 2: After you've gotten the answer (600), count how many decimal places both numbers are (i.e. 2.4 is one decimal place and 2.5 is also one decimal place.. making it two decimal places)
Step 3: Move your answer to 2 decimal places (i.e 600 → 6.00 or 6)
Answer is 6
Calculations
2.4 × 2.5
= 24 × 25
= 600 to 2 decimal places
= 6
+Hope this helps
If h(x) = 5, what is h(2)?
I can't tell if the entire question is here or not, it appears to be missing something.
If you did put all of the information here, h(2) = 5 because there is no x input.
Olivia and ray walk to school olivia walks 1/4 of a mile to school her walk is 2/3 of the distance that ray walk to school what is the total distance in miles that ray walks to school
Based on the distance that Olivia has to walk to school, the total distance that Ray walks to school in miles is 3 / 8 miles
How to find the number of miles walked?Olivia walks 1/4 of a mile to school which means that the number of miles she walks to school is:
= 1/4 x 1
= 1/4 miles
= 0.25 miles
This 0.25 miles represents 2/3 of the distance that Ray walks to school. The total distance that Ray walks to school is therefore:
= Number of miles Olivier walks to school / Proportion of distance to Ray
= 0.25 ÷ 2/3
= 0.375
= 3 / 8 miles
In conclusion, Ray walks 3/8 miles to school.
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Answer:
Ray walks to school in miles is 3 / 8 miles.
Which of the following are expressions with numbers only.
Select all options that apply
1) x - 3
2) 6
3) (8 x 20) d
4) (14÷2) x 2
5) (a + 6) 4
Previous Problem Problem List Next Problem
(1 point) Let f(z) be the function 10z²-9z+3. Then the quotient
f(4+h)-f(4)
can be simplified to ah + b for:
h. What is the value of a and b
The value obtained from the given function f(z) = 10z²-9z+3 are-
a = 10h.b = 71h.What defined as the quotient function?A quotient function is a function that consists of two functions isolated by a division sign.The domain of the quotient between two functions, f(x) and g(x), is A ∩ B ("A intersected with B" implies the set among all points that Both A and B have in common), excluding where g(x) = 0.In mathematics, a quotient is the result of dividing one number by another.For the given function;
f(z) = 10z²-9z+3.
The quotient is given as;
Quotient = f(4+h)-f(4)
Put the values (4 + h) and 4 at the place of z in the function.
f(4+h)-f(4) = 10(4 + h)² - 9(4 + h) + 3 -[10(4)² - 9(4) + 3)]
f(4+h)-f(4) = 10h² + 160 -9h + 80h + 3 - 160 + 36 - 3
Cancel the values;
f(4+h)-f(4) = 10h² + 80h - 9h
f(4+h)-f(4) = 10h² + 71h.
Thus, comparing the obtained equation by give form of (ah + b)
a = 10h and b = 71h.
Therefore, the obtained values for the given function f(z) is;
a = 10h and b = 71h.
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someone help me two qestions 20 points
11) is 1/2 and 45% and 0.6 and finally 1
12) is 0 then 50% then 0.8 then 4
Find the line of best fit for this graph
Write the equation of the line of best fit using the slope-intercept formula y=mx+b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Answer:
Look, I can't solve these for you: but for now Y = x + 3
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to Y=mx+b
where
m is the slope
b is the y-intercept
step 1
Find the slope
Take two points from the graph
see the attached figure
about (37,40) and (47,50)
The formula to calculate the slope between two points is equal to
m=y2-y1
Find the y-intercept
we have
substitute in the linear equation
solve for b
therefore
The linear equation is y=x+3
Determine whether
the graph below is that of a function by
using the vertical-line test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts, if any.
(c) any symmetry with respect to the x-axis, y-axis, or the
origin.
Answer:
• is the graph that of a function? yes
• the domain is [-π, π] and the range is [-1, 1]
• the intercepts are (π/2, 0), (-π/2, 0), (0, 1)
• determine if the graph is symmetrical: it is symmetrical with respect to the y-axis.
Yes, the graph shows a function.
The domain is [-π, π] and the range is [-1, 1]
The intercepts are (π/2, 0), (-π/2, 0), (0, 1)
It is symmetrical with respect to the y-axis.
We have to given that,
The graph of function is shown in image.
Since, A relation between a set of inputs having one output each is called a function. And, The set of all inputs of the function is called Domain of set.
Hence, By given graph,
It satisfy the vertical line test,
Hence, It shows function.
And, The domain is [-π, π] and the range is [-1, 1]
Here, Graph cut at points (π/2, 0), (-π/2, 0), (0, 1).
Hence, The intercepts are (π/2, 0), (-π/2, 0), (0, 1)
Now, From the graph,
It is symmetrical with respect to the y-axis.
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Pls Help!
Find the Greatest Common Factor of 18 and 27, show all your work!
Answer:
9
Step-by-step explanation:
Factor for 18 are:
1,2,3,6,9,18
Factors for 27 are:
1,3,9,27
Hope I helped <3
How had the New Deal given the government an advantage in preparing for war?
A. The New Deal focused on creating jobs in the weapons industry.
B. Farmers had been encouraged to plant more crops, making more food
C. The government owned a lot of the peoples' debt, and could ask for favors.
D. The government had become closely involved in social and economic affairs
Step1: Submit Your Initial Post On the previous page, we learned about Project Implicit and their Implicit Association Tests (IATs). Here we'll discuss whether an IAT (Implicit Association Test) is an observational study or an experiment. To submit your initial post, reply to this discussion and answer the question-to-be-investigated (see below). Be sure to briefly explain your answer.
Question to be investigated: Is an IAT an experiment or an observational study? Explain.
It should be noted that an IAT is an experiment.
What is an experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
An experiment is The Implicit Association Tests (IAT). By taking measures, IAT assesses how strongly concepts are associated with one another. According to Carpenter et al. (2019), the IAT, which is an experiment, obtains its findings by meticulously associating things with related answer keys, such as athletic and clumsy.
Therefore, it should be noted that an IAT is an experiment.
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Simene wants to babysit this weekend to make some extra money. She charges a flat fee then charoes per hout (or part thereof) that she babysits. Saturday afternoon she will babysit for 5 hours. Vanables: f = flat fee m= money Constant: hours =6, Expression: f+6m She has to choose between two families to babysit for.The first family offers her $40 plus $ per hour. The second family offers her $20 and $10 per hour. Which offer will make her more money and how much more will she make?
She should take the offer from the second family as she will make $5 more.
How to calculate the value?First family offers her $40 plus $5 per hour. Therefore, the amount that she can make for 5 hours will be:
= $40 + 5($5)
= $40 + $25
= $65
The second family offers $20 plus $10 per hour. Therefore, the amount that will be made will be:
= $20 + $10(5)
= $70
Therefore, she should take the offer from the second family as she will make $5 more. This was calculated as $70 - $65 = $5.
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Choose the symbol that makes the statement true
A. <
B. =
C. >
PLEASE HELP THANK YOU :)))
Answer: A. <
Step-by-step explanation:
-2.2 if less than -4
> is the symbol that makes the statement true. Therefore, the correct option is option A.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.
The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable as well as two variables will all be covered in this article along with examples. > is the symbol that makes the statement true.
Therefore, the correct option is option A.
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If g(x) = -f(x), across which axis is f(x) reflected to obtain g(x)?
To reflect a graph, f(x) over the x-axis, you take -f(x). So if f(x)=x^2, then -f(x) is -x^2. Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.
Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.
An output variable and one or more input variables are the minimum number of variables in a function. An equation can have any number of variables and declares that two expressions are equal (none, one, or more).
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2/3 of a number plus 1/6 of the same number is equal to 25. What is the number?
The number is 30.
Step-by-step explanation:
n=number.
2/3n+1/6n=25
Make a common denominator for 2/3 and 1/6 and then combine like terms.
4/6n+1/6n=25
5/6n=25
divide 5/6 on both sides to isolate n.
n=25/(5/6)
oreja.
n=25/1/5/6
nu(25×6)/(5×1)
n=150/5
n=30
OR
multiply the reciprocal instead of dividing.
n=25×(6/5)
n=150/5
n=30
Mrs. Lindeman goes to Dillard's to purchase a new shirt. The price of the shirt is $26
and the sales tax is 8%. What is the total cost of her shirt?
show how to solve problem PLEASE
Based on the price of the shirt and the sales tax, the total cost of Mrs. Lindeman's shirt is $28.08
How to find the total cost?When given the sales tax and the price of an item, then you are to add the sales tax of that item to the price of the item to find the total cost of the item.
The sales tax on the shirt that Mrs. Lindeman bought is:
= Price of shirt x sales tax rate
= 26 x 8%
= $2.08
The total cost of the shirt to Mrs. Lindeman is:
= 26 + 2.08
= $28.08
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Solve the compound inequality.
The solution to the compound inequality is (-5, infinity) U (-8, infinity)
How to solve the compound inequality?The compound inequality is given as
3x + 2 > 2x - 3 > x - 11
Add 3 to all sides of the inequality
So, we have
3x + 5 > 2x > x - 8
Split the inequality
So, we have
3x + 5 > 2x and 2x > x - 8
Evaluate the like terms
x + 5 > 0 and x > - 8
This gives
x > -5 and x > - 8
As an interval notation, we have
(-5, infinity) U (-8, infinity)
Hence, the solution to the compound inequality is (-5, infinity) U (-8, infinity)
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find the solution for variables x, y, and z
The solution for variables x, y, and z are -
x = 100y = 3z = -3What is defined as the elimination method?The elimination method is the procedure of eliminating one of the variables in a system of linear equations by using addition or subtraction methodologies in conjunction with variable coefficient multiplication or division. Because it allows us to eliminate or remove one of the variables, allowing us to solve a much more simplified equation.The given linear equation are-
x - 6y - 2z = -8 .......equation 1.
-x + 5y + 3z = 2 ......equation 2.
3x - 3y - 4z = 15 .......equation 3.
Add equation 1 and 2; gives
-y + z = -6 .....equation 4
multiply equation 2 and subtract it with equation 3;
12y + 5z = 21 ......equation 5
multiply equation 4 with 5 and subtract it from equation 5.
17 y = 51
y = 3.
Put y = 3 in equation 4 and find z.
z = -6 + 3
z = -3
Put the value of y and z in equation 1 and find x.
x = -8 + 18 + 6
x = 100
Therefore, the solution for variables x, y, and z are -
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