Answer:
See below.
Step-by-step explanation:
You can graph by finding ordered pairs for each function.
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
Answer:
No. of sweets = 123
No. of children = 7
then
sweets per children =123/7 =17. 57
Answer: =17.57
Step-by-step explanation:
Divide the no. of sweets by the no. of children
=123/7
=17.57
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:
[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]
Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60
Answer:
A. 3.60+5/6x=4.35
Step-by-step explanation:
Total cost = milk + price per pound of oranges* number of pounds
We know the total cost = 4.35 and the cost of the milk = 3.60 and the number of pounds of oranges = 5/6
4.35 = 3.6 +5/6 * x
Answer:
a
Step-by-step explanation:
pls answer by step by step
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
find the value of x in the given right triangle 90 20. please help!
Answer:
X = 3.6
Step-by-step explanation:
tan x = O/A
tan 20° = x/10
x = tan 20°(10)
x = 3.6
Answer:
x = 3.6 cm
Step-by-step explanation:
Using trigonometric ratios :
[tex]sin \theta = \frac{ opposite} {hypotenuse} \\\\cos \theta = \frac{adjacent }{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}\\\\[/tex]
[tex]where \ \theta = 20, \ opposite = x \ , hypotenuse = y \ , \ adjacent = 10cm[/tex]
[tex]we \ will \ take \ tan \ 20 , \ because\ we \ have \ to \ find \ opposite \ and \ adjacent \ is\ given.\\\\tan 20 = \frac{x}{10}\\\\x = 10 \times tan 20\\\\x = 10 \times 0.36397\\\\x = 3.6397\\\\x = 3.6 \ cm[/tex]
Convert 10m in cm.
♡
Answer:
1000 cm
Step-by-step explanation:
Recall that 100 cm = 1 m.
This results in the conversion factor 100cm
-------------
1 m
Then 10 m times the conversion factor shown above yields 1000 cm
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2
What is the weight of one boxe of a 165 ounces
Answer:
10 pounds
Step-by-step explanation:
165 ounces = 10 pounds
Answer:
10 pounds, 5 ounces
Step-by-step explanation:
The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.
Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.
Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70
Answer:
The number which is more than 6 and less than 8 is 7.
Step-by-step explanation:
There are the natural numbers.
To find the number which is more than 6 but less than 8.
The numbers which are more than 6 are 7, 8, 9, 10, ....
The numbers which are less than 8 are ...,3, 4, 5, 6, 7
So, the number which is more than 6 and less than 8 is 7.
Perform the transformations
Simplify 3a²b³x 4a³b
Let f be a function of two variables that has continuous partial derivatives and consider the points
A(8, 9),
B(10, 9),
C(8, 10),
and
D(11, 13).
The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of
AC is 2. Find the directional derivative of f at A in the direction of the vector AD.
(Round your answer to two decimal places.)
Answer:
The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.
Step-by-step explanation:
Step 1:
Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],
[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].
Now the given points are
[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],
Step 2:
The vectors are given as
AB = (10-8, 9-9),the direction is
[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]
AC=(8-8,10-9), the direction is
[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]
AC=(11-8,13-9), the direction is
[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]
Step 3:
The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is
[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]
The directional derivative of f at A in the direction of [tex]\vec{u}_{AD}[/tex] is 7.
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
Equations of parallel lines
Answer: c
Step-by-step explanation:
In order to be parallel, the slope must be the same. This means slope is 2
Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11
meaning b is -11
so the equation should be y=2x-11
which table represents a nonlinear function?
Answer:
C
Step-by-step explanation:
The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.
Answer:
m = w - t
£108
Step-by-step explanation:
m = Money Billy has to spend per week :
m = wage, w - tax, t
Hence,
m = w - t
Given;
Wage = £150 ; tax = £42
m = £150 - £42
m = £108
Help me or i will kill Shrek!
Answer:
pls dont kill my dad.. i cant help but please. hes the only thing i have left man
Step-by-step explanation:
i would so help if i could but i just really dont want shrek dead
Question 2
What are the lengths of AD, DB, AE, and EC? Measure and record them.
is there a picture of a graph or chart or something?
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
Identify each expression with a sum of x2 + 3x +1.
Answer:
There are no like terms.
Step-by-step explanation:
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
Can somebody help I’ll give brainless plss
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Answer:
93.22
Step-by-step explanation:
Find the amount of the tip
79*18%
79 * .18
14.22
Add this to the amount of the bill
79+14.22
93.22
Please help ASAP thank you
3g - 4 = 17
show ur work
Answer:
g = 7
Step-by-step explanation:
3g - 4 = 17
+ 4 + 4
3g = 21
÷3 ÷3
g = 7
Answer:
g=7
Step-by-step explanation:
First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7
Hope this helps!
(x+1)^2 . (x^2+1) = 0
Answer:
[tex]x^4+2x^3+2x^2+2x+1[/tex]
Step-by-step explanation:
Given that,
[tex](x+1)^2 . (x^2+1) = 0[/tex]
We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]
So,
[tex](x+1)^2=x^2+1+2x[/tex]
So,
[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]
So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]