Answer:
x=3
Step-by-step explanation:
3.2x-1.7x+5.5=10
1.5x+5.5=10
-5.5 -5.5
------------------------
1.5x=4.5
x=3
What is g (f (4))? HELP ME PLEASEEEEEEEE
Answer:
10
Step-by-step explanation:
So lets take it step by step....
Let's solve for the inner function first f(4). Look at the chart where x is = 4.
f(4) = 6.
Now, f(4), which is 6, will be used to determine the value of g(f(4)) which is basically g(6).
g(6) = 10
(a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b)
determine the perimeter of the triangle, and (c) determine the area of the triangle. The figure is
not drawn to scale
Q
20 yd
15 yd
a. The length of the unknown side is
(Type a whole number)
b. The perimeter of the triangle is
(Type a whole number.)
c. The area of the triangle is
(Type a whole number)
Enter your answer in each of the answer boxes
Answer:
Step-by-step explanation:
Using the pythagorean theorem, we can solve to find C.
a^2 + b^2 = c^2
So it will be 15^2 + 20^2 = c^2
Simplify:
225 + 400 = c^2
625 = c^2
Square root both sides of the equation and you will get:
25 = c
c = 25
(a) The length of the unknown side is 25 yd
For perimeter, just add 20 + 15 + 25
(b) So the perimeter is 60 yd
The formula for area of a triangle is:
Area = (Base x Height) / 2
Now, we can plug in the numbers.
Base = 15
Height = 20
(15 x 20) / 2
300 / 2
= 150
(c) The area of the triangle is 150yd^2
Rewrite the translation left 15 units and up 24 units?
Answer:
24 over 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Suppose our starting point is (a, b), If (a, b) is translated left by 15 units and up by 24 units, then the new coordinates are (a + 15, b + 24).
In ΔIJK, ∠K \cong≅∠J, IJ = 9 and JK = 10. Find the length of KI.
Answer:
KI = 9
Step-by-step explanation:
Given that triangle IJK has two equal base angles, angle J and angle K, this meets the definition of an isosceles triangle.
An isosceles triangle has two equal angles. Therefore, the side lengths opposite each of the equal base angles of ∆IJK would be of equal lengths.
Given that IJ which corresponds to angle K = 9, and JK, which corresponds to the other 3 angle, therefore, the length of KI which corresponds to angle J would be the same length as the length of IJ = 9.
<k is congruent to <J
IJ = 9, therefore, IJ = KI
KI = 9.
A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A desk contributes $400 to profit, and a chair contributes $250. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. There are 2000 units of wood available.
1. High level model is setup for you to plug in and solve.
2. If you want to practice creating the model, you don't need to use the model setup in the second tab.
3. Use Solver to maximize the company’s profit. Make sure to name the cells properly to get full credit.
4. Use $ format for cells like cost, profit etc. Fill the information for objective function & constraints.
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
How can you tell, without using the Law of Sines, that a triangle cannot be formed by using the measurements A= 89, B = 104, a= 28? Explain.
Answer:
Example 94. Solve the triangle shown with A=36º, B=88º and c=29 feet. Example 95 (no solution). Solve triangle ABC is A = ...
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
We are given two angles
A= 89, B = 104
Add the two angles 89+104 = 193
The sum of the angles of a triangle is 180
The two angles are greater than the sum of the three angles so it cannot be a triangle
I don’t understand this question please help
Answer:
29
Step-by-step explanation:
angle HGJ - angle HGI = angle IGJ
65 - 36 = 29
1 1/7 · 2 4/5
1ST ANSWER THAT IS CORRECT GETS BRAINLIEST!!!
Answer:
4.4 is da answer :)
Step-by-step explanation:
Abby's score in a
video game was change by -75 points because she missed some targets. She received -15 points for each missed target. How many targets did she miss ?
Answer: She missed 5 targets
Step-by-step explanation:
-75/ -15
5 targets missed
THIS IS URGENT PLEASE HELP IF YOU CAN. The t-shirt shop makes t-shirts for a $30 design fee
plus a $10 charge per shirt printed. This situation
can be modeled buy the function f(x) = 10x + 30.
How much would the cost be for 11 shirts?
Answer:
The answer to your question would be $140
Step-by-step explanation:
$10 x $11 = $110 + $30 = $140
Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45 dozen White Chocolate Blizzards. The restaurant must also make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of White Chocolate Blizzards takes 5 ounces, of flour, while each dozen of Mint Breezes requires 9 ounces of flour. The restaurant only has 315 ounces of flour available. If a dozen White Chocolate Blizzards generate $2.92 in income, and a dozen Mint Breezes generate $2.11, how many dozens of the desserts should Kelly have the restaurant make to maximize income? Express your answer as an ordered pair in the form (c,m) where c represents dozens of White Chocolate Blizzards and m represents dozens of Mint Breezes.
Answer:
(c, m) = (45, 10)
Step-by-step explanation:
A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.
Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.
The remaining flour is ...
315 oz -225 oz = 90 oz
This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.
Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).
__
In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)
when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented by the equation 8x+2y=17
The complete question is;
when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?
A) They are parallel because their slopes are the same
B) They are not parallel because their slopes are the same
C) They are parallel because their slopes are opposite reciprocals
D) They are not parallel because their slopes are opposite reciprocals
Answer:
Option D: They are not parallel because their slopes are opposite reciprocals
Step-by-step explanation:
Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.
Now, the general formula for slope intercept is;. y = mx + c.
Where m is the slope and c is the y - intercept.
This means the slope of bamby is - 4 while that of Primrose is 8.
The slopes are not the same and so options A and B are not correct.
Now, -4 is an opposite reciprocal of 8/-2.
But an opposite reciprocal means that both lines on the graph are perpendicular to each other.
Thus, option C is wrong because they are not parallel.
So correct option is D.
True or False? Please Help
In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x. The inverse function of f is also denoted as
i dont want to give you the complete answer but i do want to help this is what an inverse function is.
Answer:
false brainily plz?:)
Step-by-step explanation:
This table shows the ratio of apples to oranges. Find the missing value in the table of equivalent ratios. Apples Oranges 6 10 9 15 12. ?
Answer:
20
Step-by-step explanation:
they all have to be equivalent. hope this helped
Answer:
the answer is 20
Step-by-step explanation:
they all have to be equal to each other
Write an expression for “four less than six times a number m”
Answer:
6m-4
Step-by-step explanation:
A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
Step-by-step explanation:
$55,000 - $10,000 = $45,000
$55 - $15 = $40
$45,000 : $40 = 1,125 race entries needed
Suppose there are three brands of laundry detergent: A, B, and C. Let Xn be the brand chosen on the nth purchase, where the states are 0 (brand A), 1 (brand B), and 2 (brand C). Customers who try these brands are satisfied and chose the same thing again on the next purchase with probabilities 0.5, 0.7, and 0.3, respectively. The probability a customer will change brands on their next purchase to one of the other two brands is equally likely. Write the one-step transition probability matrix.
A new car worth 24000 is depreciating in value by 3000 per year after how many years will the car be 12000
Answer:
4 years
Step-by-step explanation:
need to see how many times 3000 can go in 24000 and count how many years tell u get 12000
hopes I helped
Answer:
4 years
Step-by-step explanation:
subtract 3000 from 24000 then 3000 from the sum of each answer till you get to 12,000
after year 1: $21,000
24,000 - 3,000 = 21,000
after year 2: $18,000
21,000 - 3,000 = 18,000
after year 3: $15,000
18,000 - 3,000 = 15,000
after year 4: $12,000
15,000 - 3,000 = 12,000
what is an equation of the line that passes through the points (0,-7) and (-6,-2)
Answer:
y=(-5/6)x-7
Step-by-step explanation:
Let the line graph y=ax+b,
b=-7 as (0,-7) is y-intercept
To get a (slope), slope a = (y2-y1)/(x2-x1) = (-2-(-7))/(-6-0)=-5/6
Thus, y=(-5/6)x-7
Help pls the first questions option is
25,40,75
And the next option is
40,75,140
Answer:
C is 40 and D is 75
Step-by-step explanation:
look at the angle
what is the sin5π/6 given in reduced radicals and rationalized fractions
Answer:
1/2
Step-by-step explanation:
5pi / 6
On the Unit Circle that lands on [tex](-\frac{\sqrt{3}}{2}, \frac{1}{2} )[/tex]
Which means the sine is 1/2
find all the points (-105,y) that are 17 units from the point P (-97,2)
Answer:
The points that are 17 units from P(-97,2) are:
(-105,-13) and (-105,17)
Step-by-step explanation:
Distance between two points
The distance between points A(x,y) B(w,z) can be calculated with the formula:
[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]
One point is (-105,y) and the other is (-97,2). Computing the distance between them:
[tex]d=\sqrt{(-97-(-105))^2+(2-y)^2}=\sqrt{8^2+(2-y)^2}=\sqrt{64+(2-y)^2}[/tex]
This distance is 17, thus:
[tex]\sqrt{64+(2-y)^2}=17[/tex]
Squaring on both sides:
[tex]64+(2-y)^2=289[/tex]
Operating:
[tex](2-y)^2=289-64=225[/tex]
Taking the square root:
[tex](2-y)=\pm 15[/tex]
There are two possible solutions:
[tex]2-y=15\Rightarrow y=-13[/tex]
[tex]2-y=-15\Rightarrow y=17[/tex]
The points that are 17 units from P(-97,2) are:
(-105,-13) and (-105,17)
-2y+2=-2(3y+11) how to figure this out
Answer:
y = -6
Step-by-step explanation:
-2y+2 = -2(3y+11)
-2y+2 = -6y - 22
4y +2 = -22
4y = -24
y = -6
is this what you needed??????
Multiply.
(d+7)(d-7)
Simplify your answer.
Answer:
[tex]\huge\boxed{(d+7)(d-7)=d^2-49}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\(d+7)(d-7)\qquad|\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=d^2-7^2=d^2-49\\\\\bold{METHOD\ 2:}\\\\(d+7)(d-7)\qquad|\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(d)(d)+(d)(-7)+(7)(d)+(7)(-7)\\\\=d^2-7d+7d-49\qquad|\text{combine like terms}\\\\=d^2+(-7d+7d)-49\\\\=d^2-49[/tex]
Write the rule for the nth term (3,9,15,21,27)
Answer:
Step-by-step explanation:
nth term = 3*(2n - 1 )
n =1 ; first term = 3*( 2*1 - 1) = 3* (2-1) = 3*1 = 3
n = 2 ; second term = 3*( 2*2 - 1) = 3* (4-1) = 3*3 = 9
n = 3 ; third term = 3*( 2*3 - 1) = 3* (6-1) = 3*5 = 15
What is the multiplication property of 45×6=6×45
Answer:
The multiplication property is Identity property, because both of the multiplication numbers are equal to each other
Step-by-step explanation:
Find the value of x in the figure to the right
Answer:
rad17 or 4.12
Step-by-step explanation:
use pythagreom thereom
1^2+4^2=c^2
1+16=c^2
17=c^2
rad17 if your teacher wants you to simply all the way its
4.12
Find the quotient.
7 divided by 8001
Answer:
.00087489063 or 1143
Step-by-step explanation:
7 divided by 8001 = .00087489063
8001 divided by 7 = 1143
the graph of a system of equations will intersect at more then one point
If ABC type question, then sometimes. If its extended, then only when the lines coincide with each other or if one of the lines aren't linear.
4 over 5 ÷ 1 over 10
Answer:
8
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors!
Hope this helped!! <3
