v * w = (3i - 2j) *(-i + 5j) = 3(-1) + (-2)(5) = -3 + -10 = -13
Hope that helps!
Answer:
v.w = -13
Step-by-step explanation:
v.w = (3i - 2j).(-i + 5j) = 3 × -1 × i.i + 3 × 5 × i.j + -2×-1 × j.i + -2×5 × j.j
i.i = j.j = 1 , i.j = j.i = 0
→
v.w = -3 - 10 = -13
What is the value of x in the triangle?
Use the properties of logarithms to expand the expression as a sum difference and or constant multiple of logarithms In z(z-1)^9,z>1
[tex]\begin{array}{llll} \textit{Logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \ln\left[ z(z-1)^9 \right]\implies \ln(z)~~ + ~~\ln[(z-1)^9]\implies \ln(z)~~ + ~~9\ln[(z-1)][/tex]
Narne:
Solve the inequality and graph
1.
X + 8 < -12
Solution
Graph: ------->
How do I solve one step inequality’s
Answer:
[tex]x < -20[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+8 < -12[/tex]
In order to solve one step inequalities, we solve how we would normally solve a one-step equation and then graph the answer on a number line.
[tex]x+8 < -12[/tex]
[tex]8-8=0[/tex]
[tex]-12-8=-20[/tex]
[tex]x < -20[/tex]
Now to graph the inequality on a number line, keep a few things in mind:
. x is less than -20 which means the line would go the opposite way of the negative 20.
. < is a greater than sign, not a greater than or equal sign (≤) so the number line will have a open point.
. The number line will have a point on -20.
Hope this helps.
Jessica has 12. 7 moles of a compound for an experiment. How many particles of the compound does she have? A. 2. 11 × 1023 B. 4. 74 × 1023 C. 7. 65 × 1023 D. 4. 74 × 1024 E. 7. 65 × 1024.
The number of particles the compound consists of is 7.65 × 10²⁴.
It is given that
Number of moles n = 12.7
As we know the formula for the number of particles:
N=n× Nₐ
Where Nₐ is Avogadro's Number, n is the number of moles.
What is Avogadro's Number?Avogadro's Number is the number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × 10²³.
So, the number of particles:
N= 12.7 × 6.02214076 × 10²³.
N=7.65 × 10²⁴
Therefore, the number of particles the compound consists of is 7.65 × 10²⁴.
To get more about the Avogadro's number refer to the link,
https://brainly.com/question/1581342
Find the value of x.
W
Z
35°
4x + 7°
Х
Y
Xavier needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4. 5 hours and charged him $155 for parts. The total was $357. 50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour. ?
Answer:
The cost is $45 per hour.
Step-by-step explanation:
(h = hours)
1. The equation is 4.5h + 155 = 357.5.
2. Subtract 155 from both sides of the equal sign. The equation is 4.5h = 202.5.
3. Divide both sides by 4.5. The answer is h = 45.
Select the correct answer from each drop-down menu.
Complete the sentences with the correct spelling of the missing words.
John found a stray cat in The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk the cat’s thirst. The cat seemed very after that
John found a stray cat in the alley. The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk quenched the cat’s thirst. The cat seemed very tranquil after that.
What is the meaning of alley, quenched and tranquil?Tranquil is an adjective that means that someone or something is peaceful or calm. Quenched is a verb which means to satisfy one's thirst by drinking something. It is the past tense of quench. Alley is a noun which means a long and narrow passageway.
To learn more about quench, please check: https://brainly.com/question/8365654
will mark brainlyest
Answer: Angles 4 and 5
Step-by-step explanation:
Supplementary angles are angles that add up to 180. The only angle pairs the add up to 180 (you can tell by seeing if two angles are the only two on a straight line) are angles 4 and 5, and angles 3 and 4. Angles 3 and 4 isn’t an option, so it’s 4 and 5.
Answer:
i believe that its angle 4 and 5 since they would sum up to 180 degrees
Step-by-step explanation:
Cody found the sum of the exterior angles to be 380°. Did Cody make an error? If so describe it. No, Cody did not make an error. The sum of the exterior angles of a triangle should be 380°. Yes, Cody made an error adding the three exterior angles together. Yes, Cody made an error drawing the exterior angles. The 145° angle is not an exterior angle. Yes, Cody made an error drawing the exterior angles. The 100° angle is not an exterior angle.
Answer:
the answer is C.
Step-by-step explanation:
Answer C.
classify polynomials by the degree x2+3x–10
Answer:
A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Step-by-step explanation:
How many more mins must he practice on the weekend to meet his goal??
Answer:
42 minutes
Step-by-step explanation:
70% x T = 98
7T/10 = 98
7T = 980
T = 140 mins
140 - 98
= 42 minutes
Answer: 42 mins
Step-by-step explanation: 70% / 7 x 3 = 98 / 7 x 3 = 14 x 3 = 42 minsDivide 70% by 7 to find 10%. Subtract 70 from 100 equals 30, so multiply 10 by 3 to find the remaining 30%.
Find the slope of the graph.
Answer:
[tex] \frac{9}{4} [/tex]
Step-by-step explanation:
slope = rise / run
slope = 9 / 4
Could anyone find the answer for this?
Answer:
63cm
3 x 21 = 63
Answer: 63 cm
Step-by-step explanation: For every one cm deep, there is a further scale of 21 cm more. If the pond is 3 cm deep, then the scale would be 21 * 3, which is equivalent to 63.
For each value of x, determine whether it is a solution to -20 > 3x+7.
Answer:
53
Step-by-step explanation:
3x+7
3 • (-20)+7
-60+7 = 53
You're welcome !
Which table represents a function?
Find 3 3/4+1 2/3 in the simplest form
Step-by-step explanation:
3¾+ 1⅔ = [ 3+1] +( ¾ +⅔)= 4+( 9/12 + 8/12)
= 4 ¹⁷/12 (θ‿θ)Find the values of the variables
In a triangle, the 3 angles add up to 180 degrees
=> Value of x = 180 - 62 - 15 = 103
y is supplementary to x (y + x = 180), so the value of y = 180 - 103 = 77
z = 180 - 60 - 77 = 43
Jadon has 4 feet of ribbon to decorate pockets. He needs 1/3 foot of ribbon to decorate each pocket. How many pockets will jadon be able to decorate?.
Answer:
4 feet of ribbon ÷ 1/3 foot riboon = 12 pockets
Factor
10x5 +5x2 -15
5 (225 + x2 – 3)
10 (225 + 5x2 – 15)
5 (2005 + 5x2 – 15)
5x2 (2x3 + x - 3)
Step-by-step explanation:
I hope this helps.........
3.) MULTIPLE CHOICE: In 1983 a locally-owned car company sold 2,673 cars. In 2006, the car sales
rose to 4,194. What was the average rate of change for the total number of cars sold?
B.) approximately 15 cars per year
A.)3,434 cars per year
D.) 1,521 cars per year
C.) approximately 66 cars per year
Answer:
C) approximately 66 cars per year
Step-by-step explanation:
From 1983 to 2006, that is 2006 - 1983 = 23 (years).
The car sales rose from 2673 to 4194, that is 4194 - 2673 = 1521 (cars)
So the average rate of change is : 1521 : 23 = approx. 66 cars per year
:D hope it helps
The rectangle pre-image has a length of 12 and width of 6. The rectangle image has a length of 6 and width of 3.
Find the scale factor of the dilation shown in the diagram.
1/2
1/3
2
3
Answer:
1/2 is the answer
Step-by-step explanation:
Answer:
1/2 is the anwser
Casey's mom pays her $5.50 per hour for doing chores around the house. The graph shows how much money she can earn by doing chores. How long will Casey have to work in order to earn $13.75?
Answer:
2.5 hours
Step-by-step explanation:
If u times 5.50 x 2.5 = 13.75
So 2.5 hours is basically 2h 30min
Questions 5)
Scientists estimate that a single atom is 10
-10
meters
across, while a proton is 10-15
meters across. Which
is larger and how much larger is it?
A) Atom
B) Proton
Answer:
the answer is for the question you are asking is A) Atom
If Abcd is a parallelogram find m
PLEASE!! SOLVE FOR X
Answer: x = 1.408
Step-by-step explanation:
We can first start by cross multiplying:
7.5x*5 = 4.8*11
We can now evaluate the decimals:
37.5x = 52.8
Now we can divide both sides by 37.5:
x = 1.408
Solve for zzz.
Assume the equation has a solution for zzz.
-p\cdot(d+z) = -2z+59−p⋅(d+z)=−2z+59
The solution to the given algebraic equation is [tex]\mathbf{z = \dfrac{59+pd}{(p+2)}}[/tex]
Solving algebraic equations:Algebraic equations are mathematical expressions with variables, coefficients, and arithmetic operations. To solve algebraic expressions with two or more variables, the required variable to be solved must be the subject of the formula:
From the given information, we have:
[tex]\mathbf{-p\cdot(d+z) = -2z+59}[/tex]
So, the first step in solving this algebraic is to open the bracket.-pd +pz = -2z + 59
Collect like termspz + 2z = 59 + pd
Factorize the left-hand side of the equationz(p+2) = 59 + pd
Make (z) the subject of the formula:[tex]\mathbf{z = \dfrac{59+pd}{(p+2)}}[/tex]
Learn more about solving algebraic equations here:
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Complete the equation that involves multiplication contains the variable x, and has a solution of 7.
x = 56
Enter another equation that has the same solution and includes the same variable and numbers but uses division.
Answer:
56 divided by 8
Step-by-step explanation:
7 times 8 equals 56
therefore 56 divided by 8 equals 7 ANSWER
and 56 divided by 7 is 8
Fact families
Please help me anwser these questions. No URLS
Answer:
$6400 at 13%, $3600 at 10.5%82 hot dogs and 91 hamburgersStep-by-step explanation:
These are variations of a "mixture problem." A reasonable approach to the solution is to choose a variable to represent the quantity of the item contributing most to the mix. Then the quantity of the other item is the difference from the total quantity and the variable value. The equation you write will add up the values of the different quantities to get the total value.
__
1.Let x represent the amount invested at 13%. Then 10000-x is the amount invested at 10.5%, and the total interest earned is ...
0.13x +0.105(10000 -x) = 1210
0.025x +1050 = 1210 . . . . . eliminate parentheses
0.025x = 160 . . . . . . . . . subtract the constant on the left
x = 6400 . . . . . . . . . . divide by the coefficient of the variable
10000 -x = 3600
Anthony invested $6400 at 13% and $3600 at 10.5%.
__
2.Let x represent the number of burgers sold. Then the number of hot dogs sold is 173-x, and the total revenue is ...
3x +2(173 -x) = 437
x +346 = 437 . . . . . . . . . eliminate parentheses
x = 91 . . . . . . . . . . . . subtract the constant on the left
173 -x = 82
82 hot dogs and 91 hamburgers were sold.
_____
Additional comment
You can solve these by writing two equations in two unknowns. You would let the variables represent the quantities of the two contributors. You would have one equation for the total quantity, and another equation for the total value.
These equations can be solved in any of the usual ways. If you solve by "substitution," where you substitute for the quantity of lower value, the equation you have as a result will match the equation described above.
The reason for keeping the variable representing the larger contributor is that its coefficient ends up positive as the solution progresses. That tends to make the arithmetic a little simpler and to reduce errors.
Need help finding the measure of the arc or angle indicated
Answer:
70 degrees
Step-by-step explanation:
I'm unsure on how to figure out what "X" is..?
X/2 = 6/3
