Answer:
b on edge, 16.3
Step-by-step explanation:
trust
The angle between the two given vectors is 16.26°
How to find the angle between two vectors?
Here we have the vectors u = (3, 4) and y = (4, 3).
We know that:
u*y = |u|*|y|*cos(θ)
Then:
u*y = 3*4 + 4*3 = 24
And:
|u| = √(3^2 + 4^2) = √25 = 5 = |y|
Then we have:
24 = 5*5*cos(θ)
24/25 = cos(θ)
To find theta, we apply the inverse cosine function in both sides:
Acos(24/25) = θ = 16.26°
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Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?
Answer: $1.4
Step-by-step explanation:
Given that:
Discounted price roses = $1
Amount saved = $4
Regular price - discounted price = amount saved
x - 10(1) = 4
x - 10 = 4
x = 4 + 10
x = $14
Regular price of 10 roses = $14
Regular price per rose = $14 / 10 = $1.4
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!
Answer:
Range - a is y<k
Range + a is y>k
Doman always all real numbers
Step-by-step explanation:
Answer:
domain- always all real numbers
and im not too certain about the last 2 but im pretty sure that
range-a is less than or equal to whereas range+a is more than or equal to.
Help is this correct !!!??
Answer:
Yes
Step-by-step explanation:
sin^2a-sin^2b=cos^2b-cos^2a
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
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A 6 foot tall man makes a shadow that is 31/2 feet long how tall is a building that makes a 147/8 foot shadow
Answer:
25.5
Step-by-step explanation:
Just did it
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .
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
8> -1; Subtract 8 from both sides.
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
562500 feet²
Step-by-step explanation:
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answer:
It’s either 2 or 3 but I’m say 2.
Explain how to and find the area of one triangular face
Answer:
Well its the same formula for the area of a triangle, nothing changes.
a=B*H/2
Step-by-step explanation:
Even if the shape changes, in order to find the area of one side of a triangle, locate the base and height and multiply those two together. After that, use that product and divide it by 2 to find the area of that triangle.
Does 6(3-5w)=5(4-2w)-20w have one solution, no solution, or infinitely many solutions?
Answer:
infinite
Step-by-step explanation:
trust me I would know im a smart man in college
Two or more expressions with an Equal sign is called as Equation.6(3-5w)=5(4-2w)-20w have no solution
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 6 times of three minus five w equal to five times of four minus two w minus twenty w.
6(3-5w)=5(4-2w)-20w
Apply distributive law on LHS side
6(3)-6(5w)=5(4)-5(2w)-20w
18-30w=20-10w-20w
Let us take all the variable w terms to one side
18-20=30w-10w-20w
-2=0
Hence based on the given equation , it has no solution.
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what is the equation of the line
Answer:
y=-x+3.
Step-by-step explanation:
The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.
Question:
The height of Peter’s baseball is given by the graph below (See attachment)
When will Peter’s baseball reach the highest height? What is the height? When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer.
Answer:
Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 secondsStep-by-step explanation:
The (a) & (b) will be answered by making reference to the attachment.
Solving (a): Time to reach maximum height
The height is plotted at the vertical axis while the time taken is at the horizontal axis.
From the attachment; the following details can be observed
The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5sUsing function notations, this can be represented as:
[tex]f(1.5) = 90[/tex]
And the interpretation is that:
Peter's baseball reached the maximum height at 1.5 seconds
Solving (b): Time to hit the ground
The interpretation of this question is to solve for the x intercept of the graph.
From the attachment; the following details can be observed
The ground is at 0 feetThe corresponding time at 0 feet is 4sUsing function notations, this can be represented as:
[tex]f(4) = 0[/tex]
And the interpretation is that:
Peter's baseball hit the ground at 4 seconds
Hello just need help with the last question!
Will mark brainliest :)
3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price
of one pretzel and one drink?
Answer:
7.125
and 5.1
Step-by-step explanation:
combine like terms:
Answer:
Step-by-step explanation:
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
a graph passes through the points (0,2),(1,3), and (2,4). Does this graph represent a linear function or a non linear function?
9514 1404 393
Answer:
linear
Step-by-step explanation:
The slope of the line between the first pair of points is ...
m = (y2 -y1)/(x2 -x1)
m = (3 -2)/(1 -0) = 1/1 = 1
The slope of the line between the second pair of points is ...
m = (4 -3)/(2 -1) = 1/1 = 1
The slopes are the same, so the points are on the same line. The graph is that of a linear function.
What is the equation of the given linear function?
Answer:
f(x) = 9x+8
Step-by-step explanation:
15 3/8 + 7 5/6 =
Helppp what’s the. Answer
Answer:
Exact Form:
557/24
Decimal Form:
23.208¯3
Mixed Number Form:
23 5/24
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Helpppp plzzzzzzzzz plzzzzzzzzz
-4,-9/4, 1/2,s.r. 5, 3.7
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.