Answer:
[tex]\boxed{ \sf Option \ 4}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
There are no restrictions on x. The domain is all real numbers.
The range are all possible values of F(x) or y.
[tex]F(x)=5^{3(3)}= 1953125[/tex]
[tex]F(x)=5^{3(0)}= 1[/tex]
[tex]F(x)=5^{3(-2)}= 0.000064[/tex]
When the value of x increases, the value of F(x) increases until infinity. When the value of x decreases, the value of F(x) gets closer to 0 but does not equal to 0.
The range is [tex]y>0[/tex]
The coefficient of 3 does not affect the domain and range, as there are no real restrictions.
How to do this question plz answer me step by step plzz plz
Answer:
4 cm
Step-by-step explanation:
Volume of milk
LBH
L= 8, B= 5 and H =12
5×8×12=480
After rotation
L= 8, B=15 and H=x
V=LBH
480=8×15×x
480=120x
x=4cm
Answer:
The depth of the milk is 4cm when turned
Step-by-step explanation:
First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)
5x8x12=480 cm^3
The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same
When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.
8x15xh=480
120h=480
h=4
The depth of the milk is 4cm when turned
9. You run a business making birdhouses. You spend $600 to start your business, and it costs you $5.00
to make each birdhouse.
# of birdhouses
1
2
3
4
5
6
7
Total cost to build
Answer:
$635
Step-by-step explanation:
$5x7 birdhouses=$35want
So, $35+$600=$635 total!
I hope this helps you!
Multiplication is the process of multiplying. The cost of building 7 birdhouses will be $635.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of the birdhouse is the sum of the fixed cost, which is the setup cost of the business of $600, and the variable cost is the cost that is needed to make a single house, therefore, $5.
Now, the total cost of making n number of houses will be,
Cost of making n house = Fixed cost + variable cost
= $600 + $5(n)
Further, the table can be filled using the above formula by substituting the value of n for the number of houses. Therefore,
Number of bird houses Total cost to build
1 $600+$5(1) = $605
2 $600+$5(2) = $610
3 $600+$5(3) = $615
4 $600+$5(4) = $620
5 $600+$5(5) = $625
6 $600+$5(6) = $630
7 $600+$5(7) = $635
Hence, the cost of building 7 birdhouses will be $635.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m
Answer:
b) 2.00 + 0.25m
Step-by-step explanation:
2.00per trip and $0.25 per mile = 2.00 + 0.25m
Answer:
see below
Step-by-step explanation:
a) 0.25m
This is the cost of the mileage alone
The cost is 25 cents per mile times m miles
b) 2.00 + 0.25m
This is the total cost of the trip
There is a 2 dollar flat rate fee plus the cost of the miles
2 dollars plus m miles at 25 cents per mile
Briefly explain your knowledge of sine, cosine, and tangent.
Answer:
Sine, Cosine and Tangent are main functions used in Trigonometry .
They are based on a Right-Angled Triangle.
It helps to give a name to each side of a right triangle:
"Opposite" ; side opposite to the angle θ
"Adjacent"; side adjacent (next to) to the angle θ,
"Hypotenuse" ; the longest side
Step-by-step explanation:
Sine, Cosine and Tangent (are often shortened as sin, cos and tan)
They are used in calculation by;
[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]
To remember how to apply them , we use
SOHCAHTOA
soh
Sin = Opposite / Hypotenusecah
Cosine = Adjacent / Hypotenusetoa
Tangent = Opposite / AdjacentI hope it helps :)Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2). 9x3 − 2x − 3 3x3 + 2x + 3 3x3 − 2x − 3 9x3 + 14x + 3
Answer:
9x3 - 2x - 3.
Step-by-step explanation:
(6x3 − 8x − 5) + (3x3 + 6x +2)
= 6x3 − 8x − 5 + 3x3 + 6x + 2
= 6x3 + 3x3 - 8x + 6x - 5 + 2
= 9x3 - 2x - 3.
Answer:
9x-2x-3
Step-by-step explanation:
I took the test
4. Given the following pattern of shapes, choose the mathematical expression showing th
changes for each iteration if b is the number of boxes in the previous iteration
a) b + 1
b) b + 2
c) 6-1
d) 6-2
Answer:
b)b+2
Step-by-step explanation:
3+2=5
5+2=7
so for the next iteration 2is added.
Bruno is designing his next skateboard. The skateboard store has 3 types of grip tape, 13 types of decks, 7 types of trucks, 4 types of bearings, and 2 types of wheels. How many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.
Answer:
2184 different combinations
Step-by-step explanation:
To find how many different combinations are possible, multiply all of the values:
3 * 13 * 7 * 4 * 2 = 2184 different combinations
Answer:
2,184 different skateboards.
Step-by-step explanation:
You would have to multiply
3 x 13 x 7 x 4 x 2 = 2184
If it helps you then please mark it as brainliest!
Two numbers are in ratio 3 by 2 and their difference is 5 find numbers
Answer:
The first number is 15, the second number is 10Step-by-step explanation:
a:b = 3:2 ⇒ a = 3x and b = 2x
a - b = 5
3x - 2x = 5
x = 5
a = 3•5 = 15
b = 2•5 = 10
Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)
Answer:
[tex]D=-5y^2[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle -15y^4=D(3y^2)[/tex]
And we want to find D such that the equation is true.
So, we can divide both sides by 3y². This will yield:
[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]
We can split this into:
[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]
Simplify. Hence:
[tex]D=-5y^2[/tex]
Find the value of v in the equation below(in picture)
Answer:
v =3Step-by-step explanation:
[tex]v=\log _7\left(343\right)\\\\\mathrm{Rewrite\:}343\mathrm{\:in\:power-base\:form:}\quad 343=7^3\\\\\log _7\left(7^3\right)=3\log _7\left(7\right)\\\\v=3\log _7\left(7\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\\\log _7\left(7\right)=1\\\\v=3\times \:1\\\\=3[/tex]
explain how 6/12 and 4/8 are equal fractions
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line
Answer:
y+5 = 5/2( x -4)
Step-by-step explanation:
Point slope form of a line is
( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line
y --5 = 5/2( x -4)
y+5 = 5/2( x -4)
Answer:
y + 5 = 5/2(x - 4)
Step-by-step explanation:
Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.
Plug in the values:
y + 5 = 5/2(x - 4)
So, the equation is y + 5 = 5/2(x - 4)
4.257 inches rounded to the nearest tenth is
[tex]4.257\approx4.3[/tex]
[tex]\text{Round to the nearest tenths place}\\\\4.257\\\\\text{"2" would be the number in the tenth place}\\\\\text{We would need to round up if the number to the right of the number is}\\\text{5 or greater}\\\\\text{In this case, the next number "5", so we would round up}\\\\\text{Therefore, your answer should be:}\\\\\boxed{4.3\,\, in}[/tex]
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, ...
Answer:
2n+7
Step-by-step explanation:
First lets find the common difference which is 2, now we can use this formula to find the nth term.
an = a1 + (n - 1 ) d
an= 9+(n-1)2
=9+2n-2
=2n+7
To check let's insert n=5, 2(5)=10+7=17.
15+2=17!
HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope of the line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
26.
What is the solution to. y - 9 > 4 + 2y?
HELP. answer if you can!
Answer:
y<−13
y−9>4+2y
Simplify both sides of the inequality
y−9>2y+4
Subtract 2y from both sides
y−9−2y>2y+4−2y
−y−9>4
Add 9 to both sides.
−y−9+9>4+9
−y>13
The divide both sides by -1
Answer:
[tex]\boxed{y < -13}[/tex]
Step-by-step explanation:
Hey there!
To solve for y we‘ll combine like terms and use the communicative property.
y - 9 > 4 + 2y
+9 to both sides
y > 13 + 2y
-2y to both sides
-y > 13
Divide -1 by both sides
y < -13
Hope this helps :)
Factorise : x^2-9x-70 Step by Step
Answer:
Step-by-step explanation:
x^2 - 9x - 70
we need to find two numbers whose sum is -9 and product id -17
The numbers are -14 and 5
By splitting the middle term,
x^2 - 14x + 5x - 70
= x ( x - 14 ) + 5 ( x - 14 )
( x + 5 ) ( x - 14 )
Hope this helps
Plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Sum = -9
Product = -70
Factors = -14 , 5
x² - 9x - 70 = x² + 5x - 14x + (-14) * 5
=x(x + 5) - 14(x + 5)
= (x + 5)(x - 14)
plz help asap i have limited time i will give brainliest
Answer:
358
Step-by-step explanation:
In 1995, the boys were 50 %
Take the number of people at the convention in 1995 ( 716)
and multiply by 50%
716 * 50%
716 * .50
358
Answer:
b. 358
Step-by-step explanation:
First, find what percentage of attendees were boys in 1995:
By reading the graph, we can see 50% were boys.
In the table, we can see that there were 716 attendees in 1995.
To find how many boys attended in 1995, find 50% of 716.
716(0.5) = 358
What is the LCD of 1/2 and 3/5
Answer:
10
Step-by-step explanation:
How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.
Example of multiplying two denominators together to get an LCD:
1/3 and 1/13 LCD is 39 because you multiply 3 and 13.
1/5 and 1/4 LCD is 20 because you multiply 5 and 4.
sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove
Answer:
Step-by-step explanation:
I'll use x instead of theta.
So we have:
sin x / ( 1 + cos x) + (1 +cos x) / sinx
The LCM is sin x(1 + cos x) so we have
sin^2 x + (1 + cos x)^2 / sin x(1 + cos x)
= sin^2 x + cos^2x + 2 cos x + 1 / sin x(1 + cos x)
Now sin^2x + cos^2x = 1 so:
= 2 + 2 cos x / sin x(1 + cos x)
= 2(1+ cos x) / sin x(1 + cos x)
The 1 + cos x is common so we have:
2 / sin x
= 2 cosec x.
Solve the equation for all values of x in simplest form: (x-9)^2 = 15
[tex](x-9)^2=15\\x-9=\sqrt{15} \vee x-9=-\sqrt{15}\\x=9+\sqrt{15} \vee x=9-\sqrt{15}[/tex]
Find the midpoints of the points (-3,-2) and (1,-4)
Answer: (-1,-3)
Step-by-step explanation:
midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]
[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]
[tex](\frac{-2}{2},\frac{-6}{2})[/tex]
-2/2=-1
-6/2=-3
So the midpoint is (-1,-3)
Please mark brainliest
Is 3+(-4) the same as -4+3 ? Explain
Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)
Answer:
C. X-Y X-Y
Step-by-step explanation:
The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)
Answer ASAP, Will give brainliest.
Answer:
[tex]\huge\boxed{10.4\ units\²}[/tex]
Step-by-step explanation:
Area of circle:
=> [tex]\pi r^2[/tex]
Where r = 2.8
=> [tex](3.14)(2.8)^2[/tex]
=> (3.14)(7.84)
=> 24.6 units²
Area of Triangle:
=> 1/2 (Base)(Height)
=> 1/2 (10)(7)
=> 5 * 7
=> 35 units²
Area of the shaded region:
=> 35 - 24.6
=> 10.4 units²
whats a negative times a positive times a negative?
Answer:
Positive
Step-by-step explanation:
negative times negative is postive positive times negative is negative
Answer:
A positive.
Step-by-step explanation:
Let's replace these with numbers.
-1 · 2 · (-3)
A negative times a positive will always equal a negative. So, we have:
-2 · (-3)
Any numbers with the same sign (positive or negative) multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.
6
Hope this helps!! <3 :)
Given that (-9,-8) is on graph of f(x), find the corresponding point for the function f(x)+2
Answer:
(-9, -6)Step-by-step explanation:
The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).
It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).
-8 + 2 = -6
What is the smallest number than can be subtracted from 438 to make it
exactly divisible by 5? Give a reason for your answer.
Answer:
3
Step-by-step explanation:
basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3
Answer:
Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.
Find the value of f(2).
y = f(x)
Answer:
2
Step-by-step explanation:
Looking at the graph, it is 2.
What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me
Answer:
-1
Step-by-step explanation:
2(3х – 1) > 4х – 6
Distribute
6x -2 > 4x-6
Subtract 4x from each side
6x-2-4x > 4x-6-4x
2x-2 > -6
Add 2 to each side
2x-2+2> -6+2
2x> -4
Divide by 2
2x/2 > -4/2
x > -2
The number is greater than -2
The only number that is greater than -2 is -1