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]
Let x denote the average number of hours per week that a student at Happy High School spends doing homework. Suppose the frequency distribution of x is normal (i.E., symmetrical and bell-shaped) with a mean of 3.4 hrs. And a standard deviation of 2.6 hrs. What percentage of the students at Happy High spend an average of less than 6 hours per week doing homework?
Answer:
0.84134
Step-by-step explanation:
Given that:
Mean = 3.4 hours
Standard deviation (s) = 2.6 hours
Percentage of students that spend less than 6 hours doing homework
P(x < 6)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (6 - 3.4) / 2.6
Z = 2.6 / 2.6
Z = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
The percentage of the students at Happy High spends an average of less than 6 hours per week doing homework is 0.84134
What is the solution to the equation?
4(3 + 7) = 4·x+4.7
Ox-3
Ox=4
Ox=7
Ox- 10
Answer:
1
Step-by-step explanation:
1+1=2 :D
Answer:
4.10=4.x+28
4.x=40-28
4.x=12
x=12/4
x=3
Heres a graph of a linear function. Write the equation that describes that function.
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
An item has a listed price of $45. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
$42.75
Step-by-step explanation:
Given that (x-1) is the highest common factors of 12 and 30, therefore the value of x is
A. 5
B. 6
C. 7
D. 8
Answer:
C
Step-by-step explanation:
Steps in pic below
Mrs. Oakes drove for 2 hours and went 50 miles. She then drove 3 more hours an
went 60 miles. What was her average speed for the whole journey?
Options
-22 miles per hour
-37 miles per hour
-42 miles per hour
-75 miles per hour
Can someone help me please
9514 1404 393
Answer:
22 miles per hour
Step-by-step explanation:
Her average speed for the journey is found by dividing the total distance by the total time:
(50 mi + 60 mi)/(2 h + 3h) = (110 mi)/(5 h) = 22 mi/h
Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.
Answer:
20 2 3 6 10 998778889899999
Justin and Elena each launched a toy rocket into the air. The height of Justin's rocket is modeled by the equation h = –16t2 + 60t + 2. Elena launched his rocket from the same position, but with an initial velocity double that of Justin's. Which equation best models the height of Elena's rocket? h(t) = at2 + vt + h0
Answer:
b
Step-by-step explanation:
Which line has an equation of y = -5x + 4 in slope-intercept form?
a line passing through the points (1,9) and (3,19)
a line passing through the points (2,-14) and (4,-24)
a line passing through the points (1,1) and (3,11)
a line passing through the points (2,-6) and (4,-16)
Answer:
its the forth one i got it right
Step-by-step explanation:
59.5 is what percent of 17 ?
Answer:
350%
Step-by-step explanation:
59.5÷17=3.5
3.5•10=350
350%
7(a - 4) plsss help!!!
Answer:
7a - 28
Step-by-step explanation:
multiply a and -4 by 7
7a - 28
21a + 9......,.......
Answer:
What is the full question?
Step-by-step explanation:
Answer:
I think you have to factor 3 out of 21a+9 which is 3(7a+3). I hope this helps:)
Step-by-step explanation:
y -30 = 84
y-30+ ? = 95+ 30
y=?
Answer:
Step-by-step explanation:
y -30 plus 30 = 84 plus 30
y = 114
Your welcome BiThhhh
Answer:
y-114
Step-by-step explanation:
please... help idk what its asking.
Answer:
1.88, good luck for you
What’s 2/3 divided by 5
Answer:
10/3
3.3reaping
3 1/3
Step-by-step explanation:
Determine the type of triangle that has angle measurements of 45°, 45°, 90°.
equilateral triangle
obtuse triangle
right triangle
acute triangle
Answer:
Right triangle
Step-by-step explanation:
90 degrees means that it's a right angle
Answer:
Acute triangle
Step-by-step explanation:
Im confused on this:
Evaluate: 4+8÷2x (6-3)
Answer:
hello there
ok so the answer is 4 + [tex]\frac{4}{3x}[/tex]
Step-by-step explanation:
hope this helps!
Answer:
12x+4
Step-by-step explanation:
We can solve this by using PEMDAS (parentheses exponents multiplication division addition subtraction) to solve this in the correct order:
4+8÷2x (6-3)
So first we solve (6-3) since it’s in parentheses:
4+8÷2x (3)
Now we multiply 3 times 8/2x:
4+8/2x(3)
4+12x
(Put in order)
12x+4
And that^ is the answer because we cannot simplify any further!
Hope this helps :)
which mathematical property is shown here
8+-8=0
1 distributive property
2 inverse property
3 identity property of addition
which of these fractions is equivalent to 1/8?
Answer:
2/16, 3/24, 4/32, you just have to find a pattern
Step-by-step explanation:
Luis wants to buy a skateboard that usually sells for $80. All merchandise is discounted 20%.
What is the total cost of the skateboard if Luis has to pay a state sales take of 6%?
Answer: $68.80
Step-by-step explanation: the discount is 14% because it is subtracted from 20% and 0.14 x 80 is 68.80 hope this helps
please explain how to solve
why isn't anyone answering this?
A package of 3 pairs of insulated Gloves costs $26.67. What is the unit price of the pairs of gloves
Answer:
Step-by-step explanation:
if 3 pairs of gloves cost 26.67
one pair will cost
26.67/3=8.89
Answer:
$8.89
Step-by-step explanation:
$26.67 / 3 = $8.89
Find the solution of the systems of equations
Answer:
This is the answer...And can I get the Brainliest
Solve for h. V= 3.14r^2h
Answer:
v-42ryoggjihfjcfjbfj
Is a function or not a function?
Answer:
yes this is
Step-by-step explanation:
A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)
The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.
The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/2pi
Answer:
r = 8
Step-by-step explanation:
The circumference of a circle is given by :
[tex]C=2\pi r[/tex] ...(1)
We need to find the value of r when C = 16π
Solving equation (1)
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]
So, the value of r is 8. Hence, the correct option is (b).
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(2,3)
Step-by-step explanation:
it is the point in which they intersect
i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!
HELP ME PLEASE (WILL GIVE BRAIN)... "What is the equivalent of 13π/6 in degrees?
