The dot product of vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is calculated by multiplying the corresponding components of the vectors and summing the results, giving a final dot product of 42.
Explanation:The dot product of two vectors a and b is calculated by multiplying the corresponding components of the vectors and summing the results. So, given the vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^, the dot product can be found as follows:
a⃗ ⋅b⃗ = (a_x * b_x) + (a_y * b_y)
Therefore, substituting the known values: a⃗ ⋅b⃗ = (3 * -2) + (-8 * -6) = -6 + 48 = 42
So, the dot product a⃗ ⋅b⃗ for vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is equal to 42.
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How many times dose 63 go into 272? THANK YOU SO MUCH FOR ANSWERING,IF YOU DID!!!!!!!
Have an average weight of 16 ounces and a standard deviation of 0.2 ounces. the weights of the sugar bags are normally distributed. what is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?
How many standard deviations tend to fall on either side of the mean in a distribution?
Anisa is cooling water in her fridge.The waters temperature starts at 85 degrees and she cools it 3.5 degrees every minute for 12 minutes.Create a number sentence to model this scenario.
what is an estimate of :78% of 112
At a dog park there are 12 golden retriever and 20 poodles what is the ratio of golden retriever to poodles
what is -(-2)??????
When performing today's experiment, your lab partner decides to add all the reagents into one beaker instead of two separate beakers. after adding everything together and waiting a significant amount of time, you see no reaction occur. what was the problem?
The problem can be an incorrect sequence of reagents added, requirement of heat or proportion of relative reactants when all the reagents simultaneously added into the beaker.
Further explanation:
The reaction sometimes occurs in a series of elementary reaction which can be described in the reaction mechanism of that particular reaction. So when we added the incorrect sequence of reagents then the reaction may not happen as the way we want.
Some factors which can affect the reaction are as follows:
1. The ratio amount of given reagent may not be correct.
2. Some of the reactions have very slow rate of reactions and thus they required heat to increase the rate of reaction.
3. Sometimes the reagent which is important for the first step can undergo a side reaction with the reagent which should not be there otherwise.
4. That mechanism of reaction may be required light since chemoluminescence reactions depend on excitation of atoms.
5. Sometimes reactants should be mix in dark which can lose their activity in the light.
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Keys to study chemistry
Keywords: Performing experiment, lab partner, add all the reagents into one beaker, two separate beakers, and no reaction occur.
Shelly sells 5 bone shaped treats for $3.50 how much should she charge to a pack of 12 treats which proportion is needed to solve the problem
Answer
5/3.5and 12/x or d
Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?
Final answer:
After converting their distances to decimals, Karen rides farther than Harry with a distance of 25.4 miles compared to Harry's 25.375 miles.
Explanation:
The question is regarding who rides farther, Harry or Karen, given their distances in different fractional forms. Harry rides his bike 25 3/8 miles, and Karen rides 25 two-fifths miles. To compare, we must convert their distances to similar fractional forms or decimals. Converting three-eighths to a decimal gives us 0.375, and converting two-fifths to a decimal yields 0.4. Therefore, Harry rides 25.375 miles, and Karen rides 25.4 miles.
Through comparison, it is clear that Karen rides farther than Harry. Karen's total distance of 25.4 miles exceeds Harry's total distance of 25.375 miles, albeit by a slight margin.
Which expression makes the equation true? X^8 = ( )^2
Two pounds of bananas cost $1.16 what would be the cost of 5pounds s of bananas
Use addition to simplify the expression 6/x+6/3x . show all the steps necessary to write the expression with a common denominator and to simplify the expression
Avery collect cans for recycling when he has 1,000 cans the recycling Center will pick them up from the house Avery has 80 bags with about 40 cans in each bag should he call the recycling center to arrange to pick up explain how you know
evaluate -5g- 6 for g = -2
Write a number in which the value of the 9 is 1/100 the value of the 9 in the number 392,065.018
Plot the x- and y-intercepts to graph the equation. y=−12x−3
Keywords
x-intercept, y-intercept, linear equation, graphing tool
we know that
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
In this problem we have
[tex]y=-12x-3[/tex]
Step 1
Find the x-intercept
For [tex]y=0[/tex]
find the value of x
[tex]0=-12x-3[/tex]
[tex]12x=-3[/tex]
[tex]x=-0.25[/tex]
The x-intercept is the point [tex](-0.25,0)[/tex]
Step 2
Find the y-intercept
For [tex]x=0[/tex]
find the value of y
[tex]y=-12*0-3[/tex]
[tex]y=-3[/tex]
The y-intercept is the point [tex](0,-3)[/tex]
Step 3
With the point [tex](-0.25,0)[/tex] and the point [tex](0,-3)[/tex]
Plot the linear equation
Using a graphing tool
see the attached figure
therefore
the answer in the attached figure
what's the closest number to 27.8 * 9.8
There are 62 rows of 9 chairs about how many chairs are there???
There are 558 chairs in total.
Explanation:To find the total number of chairs, you need to multiply the number of rows by the number of chairs in each row. In this case, there are 62 rows and 9 chairs in each row. So, the total number of chairs would be 62 x 9 = 558.
What property of addition is shown in the following number sentence? Explain 7+(3+5)=(7+3)+5
The required property is associative property.
Given that,
To determine a property of addition is shown in the following number sentence 7+(3+5)=(7+3)+5.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
7 + (3 + 5) = (7 + 3) + 5
Here, accoding to the PEMDAS rule, in mathematical string solution of the parenthesis is on priority. But we can see here on the left we add first 3 and 5 then the product adds to 7 and on the right, we add first 7 and 3 then the product adds to 5 gives the same result, this property of addition of number is called associative property.
As
7 + (3 + 5) = (7 + 3) + 5
7 + 8 = 10 + 5
15 = 15
Thus, the required property is associative property.
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In this henrik's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
Integers contain the whole numbers.true or false
State the slope and the y-intercept of each given graph plz help i really dont know how to do this
In a football game, the home team gained 8 yards in a running play. After that, the quarterback was sacked for a loss of 8 yards. On the next play, the quarterback threw a 25-yard pass for a touchdown. What was the final yardage gain on the play? Justify your answer.
Please solve-y(2+4y)
Car 6 truck 10 suv 14 minivan 15 at this rate how many trucks would pass Luann if 90 vehicles passed her?
A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?
Your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.
Explanation:To find out how much farther your friend walks, we need to compare the distance along the bridge to the distance halfway around the pond. The bridge is a straight line across the pond, which is the same as the diameter of the pond. The diameter is 0.25 miles long. Your friend walks halfway around the pond, which is equivalent to walking half the circumference of the pond. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since the bridge is the diameter, it is equal to 2 times the radius, or 2r. So the distance your friend walks is half the circumference or (1/2)(2πr) = πr. Since the diameter is 0.25 miles, the radius is half of that, or 0.125 miles. Plugging this into the formula, we find that your friend walks π(0.125) miles. To find a numerical approximation, we can use the fact that π is approximately 3.14, so your friend walks 3.14(0.125) miles. This simplifies to approximately 0.3925 miles. Therefore, your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.
Here again is the information about the prescription drug: there is a 10% chance of experiencing a sore throat (s) and a 30% chance of experiencing a fever (f). the information also states that there is a 6% chance of experiencing both side effects. what is the probability of experiencing neither of the side effects?
the ratio to strawberry to banana batter is 2:3. We need 30 cups of batter total. How much banana batter do we need to make?
The volume of
100
drops of a liquid is
0.1
fluid ounce.
What is the volume of
10,000
drops?