Answer:
Step-by-step explanation:
The zeros are the values of x for which f(x) = 0.
f(x) = (x-3)(2x-8) = 0
x = 3, 4
Help plz !!!!!!!!!!!!!!
PLEASE HELP
Vectors u and v are graphed. Explain in detail each step necessary to find the angle between the two vectors and find the angle in degrees.
Answer:
Angle between vectors u and v: 26.56 degrees
Step-by-step explanation:
I just recently did this question, so here's my response and hopefully that helps you:
Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.
The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.
Steps for determining the angle:Since
vector v is from (0,0) to ( -2,-1)
So,
[tex]\bar{v}=-2i-j[/tex]
Here, vector u is from (0,0) to (-3,-4)
So,
[tex]\bar{u}=-3i-j4[/tex]
Now here we used dot product concept
Now
[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]
Learn more about graph here: https://brainly.com/question/2111181
Determine if the two triangles are similar. If they are similar, then which Triangle Similarity Theorem proves they are similar? *
1 point
Captionless Image
Answer:
Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.
Step-by-step explanation:
The given cylindrical
to fill the rectangular prism fish tank with water.
8 inches
24 inches
6 inches
12 inches
24 inches
What is the least number of full cylindrical containers needed to completely fill the fish tank?
Enter your answer in the box.
containers
Answer:
30.54
Step-by-step explanation:
Here is the complete question used in answering this question
he given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?
Number of cylinders needed = volume of prism / volume of cylinder
volume of prism = width x height x length = 24 x 24 x 12 = 6912
volume of a cylinder = nr^2h
n = 22/7
r = radius
(22/7) x (3^2) x 8 = 226.29
6912 / 226.29= 30.54
Shayanne bought a bag of chips and a burger for $4. Griff bought 2 bags of chips and 3 burgers for $10.50. How much does a bag of chips cost?
Answer:
Cost of each bag of chip = $1.5
Step-by-step explanation:
Given:
1 bag chips and 1 burger cost = $4
2 bag chips and 3 burger cost = $10.50
Find:
Cost of each bag of chips
Computation:
Cost of each bag of chip = c
Cost of each bag of burger = b
So,
c + b = 4 ...... eq1
2c + 3b = 10.50 ..... eq2
Eq1 x 2
2c + 2b = 8 ....... eq3
From eq2 - eq3
b = 2.5
From eq1
c + b = 4
c + 2.5 = 4
c = 1.5
Cost of each bag of chip = $1.5
Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
If Emily has 46 coins, how many nickels and dimes does she have?
Answer:
The answer
Step-by-step explanation:
16 nickels and 30 dimes
HELPPPPPPPPPPPPPP!!!!!!!!!
Answer:
The top right and the middle one.
Step-by-step explanation:
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed rounded to the nearest whole percent.
Answer: 28.8%
Step-by-step explanation:
First find out what her speed is:
Speed = Distance / Time
= 50 / 45
= 1.11 meters/second
Now her speed is:
= 50 / 35
= 1.43 meters/ second
The percentage increase in her speed is:
= (New speed - Old speed) / Old speed
= (1.43 - 1.11) / 1.11
= 0.288
= 28.8%
What is:
Square
s = 8.3 in.
Answer:
the square of 8.3 is 68.89
Step-by-step explanation:
I NEED HELP I FORGOT HOW TO DO THIS AND I NEED HELP
-3x + 2<8
Answer:
x > -2
Step-by-step explanation:
-3x + 2 < 8
our goal is to isolate the x
subtract two from both sides
-3x < 8 - 2
- 3x < 6
divide both sides by -3
flip the sign because we divided by a negative number
x > -2
I really need help with this, it's my last question. Please help!
Answer:
The measure of Angle M = 74.8°
Step-by-step explanation:
Cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos(x) = [tex]\frac{26}{99}[/tex]
x = Cos⁻¹([tex]\frac{26}{99}[/tex])
x = 74.8°
So the measure of Angle M = 74.8°
Hope this helps!
Answer:
Trigonometry
since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse
cos x = A
H
cos x = 26
99
x = cos -1 (26 ÷ 99)
x = 74.77404748
x= 74.8
Dixie cookie company randomly selected 11 people for a taste test of its cookies and 4 of its competitors cookies the graph shows how many people prefer each of the 5 cookies based on the results Dixie cookie company claims that most people prefer to cookies to competitors cookies which to statements identify the flaw in the company's claim
a.the sample size was too small
b. the sample population was not a representative sample
c. there were too many competitor cookies in the taste test
d. most of the sample population did not choose the Dixie cookie
Answer:
B and C i think
Step-by-step explanation:
Suzanne is baking cupcakes. Her cupcake recipe calls for 314 cups of flour. Suzanne has already added 235 cups of flour. How much more flour does Suzanne need to add in order to reach the amount called for in the recipe? Enter your answer as a fraction.
Answer:
179
Step-by-step explanation: First you would wanna add 70, to get to 100.
Then, add 9 to get to 314. add 70+9, that is your final answer.
TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.
How many boards 6in. Long can be cut from a board 2ft long
Find the measure of angle x in the figure below.
165363>×÷?2×<678if x is ಠ_ಠ
The ratio of the numbers of apples to bananas in a market bag is 6:11. There are 144 apples. How many bananas are there?
Answer:
264 bananas
Step-by-step explanation:
11/6 = x/144
cross multiplicaion
6x = 11x144
6x = 1584
x = 265
It males sense since 11 is almost double than 6
264 is almost double than 144
PLEASE HELP 40 POINTS
Find the value of x in the triangle shown below.
Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?
==========================================================
Explanation:
Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.
term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.
Note how:
10-8 = 22-8 = -6-6-8 = -14-14-8 = -22Find the value of x in the triangle shown below
Find the diameter of Oo. A line that appears to be tangent is tangent. If your answer is not a whole
number, round to the nearest tenth.
Answer:
Diameter = 9
Step-by-step explanation:
Let the diameter be represented as x.
Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
(16 + x)(16) = 20²
256 + 16x = 400
Subtract 256 from each side
16x = 400 - 256
16x = 144
Divide both sides by 16
x = 144/16
x = 9
Diameter = 9
complete out the table for the function f(x) = |x-2|
Answer:
3, 2, 1, 0
Step-by-step explanation:
f(-1) = |-1 - 2| = 3
f(0) = |0 - (-2)| = 2
f(1) = |1 - 2| = 1
f(2) = |2 - 2| = 0
Graph the piecewise function.
Answer:
Y=32
Step-by-step explanation:
A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block
Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
A pound of ground beef costs $5. At this rate, what is the cost of:
3 pounds
Answer:
$15
Step-by-step explanation:
If one pound of beef costs 5 dollars then three would be 3 x 5 which is 15.
The perimeter of a square is 20 ft. if you increase the length of the square by two feet what is the area, in square feet, of the new figure?
a. 35
b. 28
c. 22
d. 40
i need help with both plz help
Answer:
6a + (6 x 3) = 60
or
6a + 18 = 60
Step-by-step explanation:
You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.
Therefore, the equation is:
6x + 18 = 60
Then just solve
6x + 18 = 60
- 18 -18
6x = 42
x = 7
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
8/5 oz
Step-by-step explanation:
The problem is saying that there are 8 ounces of cheese and 5 bowls of spaghetti you need to divide the cheese over. As you need an equal amount of cheese in each bowl, you have to divide 8 ounces by the number of bowls, which is 5. Thus, you would do 8 divided by 5, which we just say is 8/5. Therefore, your answer is 8/5 ounces of cheese (or simplified to 1 3/5).
help pleaseeeeeeeeeeeew!!!!
solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = 3x + 5 → (2)
Substitute y = 3x + 5 into (1)
3x + 5 = 2x + 3 ( subtract 2x from both sides )
x + 5 = 3 ( subtract 5 from both sides )
x = - 2
Substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 2(- 2) + 3 = - 4 + 3 = - 1
solution is (- 2, - 1 )