Answer:
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
Step-by-step explanation:
The dot product of vectors.
Given two vectors a and b in their rectangular form:
[tex]\mathbf{a}= a_x\mathbf{i}+a_y\mathbf{j}[/tex]
[tex]\mathbf{b}= b_x\mathbf{i}+b_y\mathbf{j}[/tex]
The dot product of the vectors is a scalar with value:
[tex]\mathbf{a}\cdot \mathbf{b}=a_x.a_y+b_x.b_y[/tex]
The given vectors are:
[tex]\mathbf{u}= -5\mathbf{i}+3\mathbf{j}[/tex]
[tex]\mathbf{v}= 3\mathbf{i}+4\mathbf{j}[/tex]
Calculating the dot product:
[tex]\mathbf{a}\cdot \mathbf{b}=(-5)(3)+(3)(4)=-15+12=-3[/tex]
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
solve it
Step-by-step explanation:
The midpoint of AB is M(-6,-4). If the coordinates of A are (-4,-3), what are
the coordinates of B?
Answer:
(-8,-5)
Step-by-step explanation:
Well, if we divide the square root of M by the hypotenuse due to the activation of the square root of A, then we can achieve the absolute equilibrium between both statements as we bring the oven to about 220 degrees Farenheit, the brownies will look great.
NEED ASAPPPP
The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?
Answer:
(-3,4)
Step-by-step explanation:
to solve for x, make y=0
to solve for y, make x=0
Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)
Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?
Answer:
15 friends
Step-by-step explanation:
37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.
The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of the two towns?
Answer:
The difference in elevation of the two towns is 3182 feet.
Step-by-step explanation:
Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.
Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.
Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.
Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.
Therefore, the difference in elevation of the two towns is 3182 feet.
Hope this helped!
what is the expression for "the difference of 3 and 5times a number"?
answering
3 - 5n
(3 - 5)n
5 - 3n
Answer:
3-5n is the correct answer
1/5 x 3/4 in simplest form
we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20
The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
Given that,
The one fraction is [tex]\frac{1}{5}[/tex].And, the other fraction is [tex]\frac{3}{4}[/tex].We need to multiply both the fractions and then write in the simplest form.Based on the above information, the calculation is as follows:
[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]
Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].
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Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether
The number of minutes that Abby spend working on her science project altogether is 56 minutes.
How to calculate the value?From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.
Therefore, the time used altogether will be the addition of the time used for both occasions
= 22 minutes + 34 minutes
= 56 minutes
This illustrates addition.
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Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
ABCD is a rectangle. Find the mCED
Answer:8.5...
Step-by-step explanation:
Solve 20/420 and remember to add the partial quotients to find the actual quotient.
Answer:
0.0476
Step-by-step explanation:
To solve 20/420,
We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :
In the fraction 20/420, we cancel out the zeros =2/42
In the fraction 2/42, 2 will divide numerator and denominator so =1/21
To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,
Therefore 1/21= 0.0476 to 4 decimal places
Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4
Minnie is making tea. She knows that her tea tastes best if she lets her tea bag sit in the hot water for exactly fifteen minutes. However, depending how hot the water is, she may have to leave her tea bag in the water for 2 minutes more or less than usual. Write and solve an absolute value equation to describe this situation
Answer:
|x - 2| = 15 ; |x + 2| = 15
Step-by-step explanation:
Given that:
Wait time = 15 minutes
Variation in wait time depending on level of hotness = 2 minutes
X ± 2 = 15
x + 2 = 15 or x - 2 = 15
x = 15 - 2 = 13 or x = 15 + 2 = 17
Hence, to express the above as an absolute value equation :
|x - variation| = mean time
|x - 2| = 15 ; |x + 2| = 15
tan22° + tan23° tan22°. tan23° = 1 prove that
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved
The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.
Answer:
15 and 8
Step-by-step explanation:
PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8
Guys plz help plz on both plzzzzz
Answer:
The first one is 9/50 and the second one is 1/2
Step-by-step explanation:
you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
What is w²+2xy if x= - 3, w= - 2, and y=1?
Answer:
-10
Step-by-step explanation:
w2 is -2x-2
2xy is getting times together -3x1
-Which plan charges a higher monthly rate? Justify your answer.
-The plan that charges the higher monthly rate charges__as much as the other plan.
a. 1.2
b. 0.78
c. 1.28
d. 0.83
-What is the one-time fee of fitness plan B?
Answer:
D
Step-by-step explanation:
D is 13. What is the length of the line.
Answer:
D
Step-by-step explanation:
You have to use pythagorean theorem to solve this.
Answer:
D
Step-by-step explanation:
use pytherogream theory
sides, 5 and 12
pytherogream triple 5, 12, 13
While touring the city, Bernie
buys lunch for his family from a
food truck. He purchases one
taco for $2.75 and four
cheeseburgers. If he spent a
total of $23.75, how much was
each cheeseburger?
Answer:
$5.25
Step-by-step explanation:
23.75-2.75= is the price of four cheeseburgers, which is 21. 21/4 is the price of one. So its 5.25
Please help ASAP 15 points
Answer:
B
Step-by-step explanation:
The answer is B because it tells you the letter atound triangle.
Answer:
b
Step-by-step explanation:
Plz help with math plzlzlzlzl
7. 3, 19 25..
Find the formula for the nth term of the following sequence
Answer:
a+(n-1)d is the formula to calculate
Classify the triangle. Check all that apply
Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above
Answer:
The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.
Step-by-step explanation:
I hope this helps!
A plumber charges his customers $25.70 per hour, h, plus a $54.50
service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's
sink.
Mrs. Goodwill also hires an electrician to repair several damaged
outlets in her home. The electrician charges $35.22 for each individual
outlet repair, r, plus a $62 service fee.
If the electrician charges Mrs. Goodwill a total of $167.66, which
equation shows how to determine the number of individual outlet
repairs correctly?
A. 35.22-62r = 167.66
B. 35.22r -62 = 167.66
C. 35.22 +62r = 167.66
D. 35.22r + 62 = 167.66
Answer:
D
Step-by-step explanation:
multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee
helpppppppppppppppppp
The 1st option is correct.
Answer:
m/15=-3
Step-by-step explanation:
When you see quotient it means to divide
is means equal
I hope this helps
If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?
Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.
Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.
Answer:
c is the correct answer i took the test
Step-by-step explanation:
The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
How to find the interquartile range?For the males, the interquartile range will be:
= Third quartile - First quartile
= 17 - 9
= 8
For the females, the interquartile range will be:
= Third quartile - First quartile
= 15 - 3
= 12
Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
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