Answer:
The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)
if 2x +y=-7 and 3x=6+4y are simultaneous equation, what is the value of x-y
what is the domain of the function in the graph?
Answer:
6AJNSDJN
Step-by-step explanation:
The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this
Answer:
SR = 22 cm
Step-by-step explanation:
area = bh/2
(21 cm)(h)/2 = 231 cm^2
21h = 462 cm
h = 22 cm
SR = 22 cm
functions f and g are defined as
f(x) = 5x² - 10x + 7
where x > 1
g(x) = 7x - 6
Find fg(2)
An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling
Both? or just the westbound?
pls help me anyone! pls im so stuck here
Answer:
The third option, (-30,10)
Step-by-step explanation:
A proportional relationship is when you multiply one number in the coordinate/pair to get the other number, and that number that you multiply with is consistent. For example, in (60,-20) you multiply the x coordinate 60 by -1/3 to get 20. Next, you have to check if the other answer choices follow the same pattern. For (-30,10), you multiply -30 by -1/3 and get 10! So it works.
2.
Say True or False.
(i) The difference between the smallest number of seven digits and the largest
number of six digits is 10. False
(ii) The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only
once is 9086.
IS
:)
.
(iii) The total number of 4 digit numbers is 9000.
Answer:
i) false
ii) false
iii)false
Answer:
true ans is correct
Step-by-step explanation:
true
I need help plz help
We know
[tex]\boxed{\sf cos\Theta=\dfrac{b}{h}}[/tex]
[tex]\\ \sf\longmapsto cos22=\dfrac{x}{47}[/tex]
[tex]\\ \sf\longmapsto 0.9=\dfrac{x}{47}[/tex]
[tex]\\ \sf\longmapsto x=47(0.9)[/tex]
[tex]\\ \sf\longmapsto x=42.3[/tex]
AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Step-by-step explanation:
Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:
[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]
[tex]x = 45.9\,L[/tex]
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
A shop owner made a loss of 12% when he sold an item for $264. What was the cost price of the item?.
find the ratio in which the point P(5,3) divides the line joining the points A(2,3) and B(7,3)
Answer should come 3:2 please help
9514 1404 393
Answer:
3 : 2
Step-by-step explanation:
We notice that P is on the horizontal line segment AB, so we can find the ratio by looking at the x-coordinates only.
AP : PB = (P -A) : (B -P)
= (5 -2) : (7 -5) = 3 : 2
Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD
Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]
Step-by-step explanation:
1 USD is equivalent to 1.35 AUD
Therefore, 80 USD is equivalent to
[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]
please help. only need to do part b
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
PLzzZZHELPPPP
The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?
Answer:
220ft tall
Step-by-step explanation:
From the question we are given the following:
Adjacent side of the triangle = 80feet
Angle of elevation = 70°
Required
Height of the building (Opposite)
Using the SOH CAH TOA identity:
tan theta = opp/adj
tan 70 = H/80
H = 80tan70
H = 80(2.7474)
H = 219.79ft
Hence the building is 220ft tall
Find the solution to (-1)+5-(-6)-5=
Q) -1 + 5 - (-6) - 5 = ?
→ -1 + 5 + 6 - 5
→ {-1 + 5} + {6 - 5}
→ 4 + 1
→ 5 is the solution.
Find AC..................
Answer:
Does the answer help you?
2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]
Answer:
sub to the students notice the best of luck in life is good and u don't know what to do
2x(3x - 2) + (3x - 2)
let's writefollowing expression as product of their factor.
Answer:
6 x ^2 − x − 2
Step-by-step explanation:
Remove parentheses.
2 x ( 3 x − 2 ) + 3 x − 2
Simplify each term.
6 x ^2 − 4 x + 3 x − 2
Add − 4 x and 3 x .
6 x ^2 − x − 2
Answer:
(3x - 2)(2x + 1)
Step-by-step explanation:
Given
2x(3x - 2) + (3x - 2) ← factor out (3x - 2) from each term
= (3x - 2)(2x + 1) ← as a product of factors
Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gives as many treats she can. how many treats does Ava give each cat? how many treats are left?
Ava gives each cat ____ treats. _____ treats are left.
Answer:
Ava gives each cat __2__ treats. __3___ treats are left.
Step-by-step explanation:
Answer:
2 treats n 3 are left
Step-by-step explanation:
I neeeddddd helppppp!!!! It’s urgentttttt
Answer:
R theta 1 = 20 x
R theta 2 = 11 x - 6
R ( theta 1 + theta 2) = 31 x - 6 adding equations
R pi = 31 x - 6 since theta 1 + theta 2 = 180 deg
x = (R pi + 6) / 31
This equation depends only R
If one lets R be one then x = (pi + 6) / 31
This would give x = .29489 rad for the value of pi is deg
The numerical value of x appears to depend on the value of R
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they
Step-by-step explanation:
let debbie be x years
let felix be 6x years
in 12 years felix will be 2x older than debbie
do the calc
Please help me solve this short problem I’m really struggling
Answer:
Step-by-step explanation:
In the standard form of a quadratic,
[tex]h(x)=-x^2+v_0x+h_0[/tex],
that last term, the h0, is the initial height off the ground that the object is. That means that for the first question, the irrigation system is initially 9.5 feet off the ground.
In order to answer the next question, we need to find the vertex of the parabola, because this is where the max height will occur and at how many feet away from the system. The max height is the k of the vertex and the horizontal distance away is the h of the vertex: (h, k). Thankfully, we have simple formulas to find those:
[tex]h=-\frac{b}{2a}[/tex] and [tex]k=c-\frac{b^2}{4a}[/tex] where a, b, and c come from the coefficients in the equation. For us, a = -1, b = 10, and c = 9.5. Finding h first:
[tex]h=-\frac{10}{2(-1)}=\frac{-10}{-2}=5[/tex]
and now k:
[tex]k=9.5-(\frac{10^2}{4(-1)})=9.5-(\frac{100}{-4} )=9.5-(-25)=9.5+25=34.5[/tex]
Summing it up, the vertex is at (5, 34.5), The interpretation of that is that "The spray reaches a max height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head."
Next we are asked how far away from the sprinkler head the water hits the ground. To do this we factor the expression to find the zeros. The zeros tell us where the water will hit the ground after it reaches its max height and then falls back down to earth.
I used my calculator to factor this for me to get that the water will hit the ground 10.87 feet away from the sprinkler head.
Questions
Steve played a car race game. He gained some points, lost 27 points, and
finished with less than 400 points. Which of the following inequality
represents the given situation?
A.)X - 400 < 27
B.)x + 27 < 400
C.)X - 27 > 400
D.) X - 27 < 400
According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.
Which inequality does represent the given situation?Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.
After gaining some points, his total would be X + G, where G represents the gained points.After losing 27 points, his total would be X + G - 27.Since he finished with less than 400 points, we can express this as X + G - 27 < 400.
Simplifying the equation, we get X - 27 < 400.According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.
Learn more about inequality in: https://brainly.com/question/20383699
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The perimeter of a rectangular painting is 320 cm. If the length of the painting is 96 cm, what is its length
Answer: Width/length = 64 cm
Step-by-step explanation:
Concept:
Here, we need to know the concept of rectangle perimeter.
A perimeter is either a path that encompasses/surrounds/outlines a shape.
P = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
l = 96 cm
P = 320 cm
Given formula
P = 2 (w + l)
Substitute each value into the formula
320 = 2 (w + 96)
Divide both sides by 2
320 / 2 = 2 (w + 96) / 2
160 = w + 96
Subtract 96 on both sides
160 - 96 = w + 96 - 96
w = 64 cm
Hope this helps!! :)
Please let me know if you have any questions
What is the height h of the garage roof?
41
Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make
1,428 copies of the flyer to announce the opening of the shop an is having 14
distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure
each friend the same number of flyers
What is the total amount Ivan is paying each friend to
disor
Show your work
Answers
Answer:
41
Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make
1,428 copies of the flyer to announce the opening of the shop an is having 14
distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure
each friend the same number of flyers
What is the total amount Ivan is paying each friend to
disor
Show your work
Answers
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?
Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:
B. 57.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.
From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:
B. 57.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
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Please help me find the area of this figure! Thanks!!
Answer:
Step-by-step explanation:
Figure consists of three parts; one Triangle , one rectangle and a square.
Triangle:
Base = b = 13+9 = 22 cm
height = 16 cm
[tex]Area \ of \ triangle = \frac{1}{2}* b*h\\\\= \frac{1}{2}*22*16\\\\= 11 *16\\\\= 176 \ cm^{2}[/tex]
Rectangle 1:
length = 14 cm
Width = 4 cm
Area of R1 = length * width = 14 * 4 = 56 cm²
Area of Square R2:
side = 8 cm
Area of square = side * side = 8 * 8 = 64 cm²
Area of shaded region = 176 + 56 + 64 = 296 cm²
Can someone help me with this question pls
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 94 and d = a₂ - a₁ = - 112 - (- 94) = - 112 + 94 = - 18 , then
S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × - 94) + (9 × - 18) ]
= 5(- 188 - 162)
= 5 × - 350
= - 1750
