Answer:
m(x) is a dilation of scale factor K = 1/5 of f(x).
Step-by-step explanation:
The transformation is a horizontal dilation
The general transformation is defined as:
For a given function f(x), a dilation of scale factor K is written as:
g(x) = f(x/K)
If K > 1, then we have a dilation (the graph contracts)
if 0 < K < 1, then we have a contraction (the graph stretches)
Here we have m(x) = f(5*x)
Then we have a scale factor:
K = 1/5
So this is a contraction.
Then the transformation is:
m(x) is a dilation of scale factor K = 1/5 of f(x).
When the suns rays are at an angle of 39° the distance from the top of Dakotas head to the tip of the shadow is 77 inches, about how tall is Dakota?
Answer:
48.45in
Step-by-step explanation:
To get the height of Dakota, we will use the SOH CAH TOA
Given the following
angle of elevation = 39degrees
distance from the top of Dakotas head to the tip of the shadow = 77in (Hyp)
Required
Height of Dakota (Opp)
Sin 39 = opposite/hyp
Sin39 = H/77
H = 77sin39
H = 77(0.6293)
H = 48.45in
Hence the Dakota is 48.45in
PLEASE HELP ASAP!!! I don’t know how to do this problem or where to start! How do I solve this?
Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
if the smaller side of a rectangle was increased by 7 cm, it would be exactly 55% of the 110 cm longer side. Find the area of the rectangle
Answer:
5886 cm
Step-by-step explanation:
start by finding 55% of 110 which is 60.5. then subtract by 7 and then you get 53.5
then multiply 53.5 by 110 = 5885 cm
What is the product?
(ay3)2 + 3y - 5)
PLEASE HELP!!!! Choose the best graph that represents the linear equation: 4x + y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 4). Graph B On a coordinate plane, a line goes through (0, 0) and (1, negative 4). Graph C On a coordinate plane, a line goes through (0, 0) and (4, negative 1). Graph D On a coordinate plane, a line goes through (0, 0) and (4, 1). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided A B C D
Answer:
see graph...
B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).
Step-by-step explanation:
Answer:
Step-by-step explanation:
To determine the graph that represents the linear equation 4x + y = 0, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Starting with the given equation:
4x + y = 0
Subtracting 4x from both sides:
y = -4x
Now we have the equation in the form y = mx + b, where m = -4 (the coefficient of x) and b = 0.
Looking at the given graphs:
Graph A: The line goes through (0, 0) and (1, 4). This graph does not represent the equation y = -4x, as the slope is 4, not -4.
Graph B: The line goes through (0, 0) and (1, -4). This graph does represent the equation y = -4x, as it has a slope of -4 and passes through the origin.
Graph C: The line goes through (0, 0) and (4, -1). This graph does not represent the equation y = -4x, as it does not have the correct slope.
Graph D: The line goes through (0, 0) and (4, 1). This graph does not represent the equation y = -4x, as it does not have the correct slope.
Therefore, the best graph that represents the linear equation 4x + y = 0 is:
b. Graph B
For the inequality 4x2>y−3, where is the graph shaded and is the curve solid or dotted?
Answer:
Dotted Curve
Shaded Area includes the Origin.
Step-by-step explanation:
I am assuming that you mean 4x² > y-3.
Since the inequality sign is greater than, the line would be dotted. The curve would be solid if the inequality was an 'X or equal to' sign.
----------------------------------
4(0)² > 0 - 3
0 > -3
Since the given statement is true, the origin is a solution and we would shade below the curve.
----------------------------------
See the graph attached.
Hope this helps.
Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 1 + sin(t), y = 3 + 2 cos(t), π/2 ≤ t ≤ 2π
Answer:
The motion of the particle describes an ellipse.
Step-by-step explanation:
The characteristics of the motion of the particle is derived by eliminating [tex]t[/tex] in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{y-3}{2}[/tex] (2)
[tex]\sin t = x - 1[/tex] (3)
By (2) and (3) in (1):
[tex]\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1[/tex]
[tex]\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1[/tex] (4)
The motion of the particle describes an ellipse.
I NEED HELP ILL MARK!!!
Answer:
c) tan
Step-by-step explanation:
For the 63-deg angle, YZ is the opposite leg. The unknown side, AY, is the adjacent leg. The trigonometric ratio that relates the opposite and adjacent legs is the tangent.
Answer: c) tan
How many different simple random samples of size 4 from a population size 46
This is one single number. The number is slightly larger than 163 thousand.
====================================================
Explanation:
Consider four slots labeled A,B,C,D
We have....
46 choices for slot A45 choices for slot B44 choices for slot C43 choices for slot DThere's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.
If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.
However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185
This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.
class 7th chapter: Simple Equation
The solution of the equation p-1 =20 is -------- *
a) 19
b) 20
c) 21
Answer:
C
Step-by-step explanation:
p=20+1
54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability
that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c)
less than four.
(a) P(5) =
(Round to three decimal places as needed.)
(b) P(x26) =
(Round to three decimal places as needed.)
(c) P(x<4) =
(Round to three decimal places as needed.)
Part B is not clear and the clear one is;
P(X ≥ 6)
Answer:
A) 0.238
B) 0.478
C) 0.114
Step-by-step explanation:
To solve this, we will make use of binomial probability formula;
P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)
A) 54% of U.S. adults have very little confidence in newspapers. Thus;
p = 0.54
10 random adults are selected. Thus;
P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)
P(X = 5) = 0.238
B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
From online binomial probability calculator, we have;
P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478
C) P(x<4) = P(3) + P(2) + P(1) + P(0)
Again with online binomial probability calculations, we have;
P(x<4) = 0.1141 ≈ 0.114
one number is seven less than the second number. five times the first is 9 more than 6 times the second. find the numbers
Step-by-step explanation:
2nd number = x
1st number = x - 7
5 (x - 7) = 6x + 9
5x - 35 = 6x + 9
- x = 44
x = - 44
1st number = -51
2nd number = -44
Proof: 5 (-51) = 6(-44) + 9
-255 = -264 + 9
-255 = -255
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Suppose y varies inversely with x, and y = 18 when x = 12. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON'T KNOW?
a. 24
b. 9
c. 12
d. 18
Answer:
B. 9
Step-by-step explanation:
We are given that y varies inversely with x. Recall that inverse variation has the form:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
We are given that y = 18 when x = 12. Hence:
[tex]\displaystyle (18)=\frac{k}{(12)}[/tex]
Solve for k. Multiply both sides by 12:
[tex]k=12(18)=216[/tex]
Thus, our equation is:
[tex]\displaystyle y=\frac{216}{x}[/tex]
We want to find x when y = 24. Substitute:
[tex]\displaystyle \frac{24}{1}=\frac{216}{x}[/tex]
Cross-multiply:
[tex]24x=216[/tex]
Divide both sides by 24. Hence:
[tex]x=9[/tex]
Our answer is B.
Answer:
B
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 18 when x = 12 , then
18 = [tex]\frac{k}{12}[/tex] ( multiply both sides by 12 )
216 = k
y = [tex]\frac{216}{x}[/tex] ← equation of variation
When y = 24 , then
24 = [tex]\frac{216}{x}[/tex] ( multiply both sides by x )
24x = 216 ( divide both sides by 24 )
x = 9
Write the ratio 4 3/5 to 1 1/5 as a fraction in lowest terms
Answer:
23/6
Step-by-step explanation:
Given fractions
4 3/5 to 1 1/5
Write 4 3/5 as improper fraction= 23/5
Write 1 1/5 as improper fraction= 6/5
Then find the ratio
23/5 : 6/5
Ratio is finding division of two terms
(23/5) / (6/5)
= 23/5 × 5/6
5 at the denominator cancel out 5 at numerator then we have
= 23/6
Hence, fraction in lowest terms here is
23/6
help? haha
solve the equation below:)
3x - 5 = 10 + 2x
Step-by-step explanation:
3x-2x=5+10 [taking variables on one side and constant on other]
x=15
soln:
3x-5= 2x+10
3x -5+5=2x+10+5 [ adding 5 on both side]
3x=2x+15
3x-2x=2x+15-2x [subtracting 2x on both side]
x=15
Ans=15
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
[tex]3x - 5 = 10 + 2x[/tex]
[tex]3x - 2x = 10 + 5[/tex]
[tex]1x = 15[/tex]
[tex]x = 15[/tex]
Hope it is helpful.....Can someone help me with this question an my other work?
Geometry Oddsseseyware
The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the 2-digit number? List all options
the answer will be 44 I think I hoped I helped if not sorry.
A 17 feet ladder is placed against a building. The bottom of the ladder is 15 feet away from the building. How many feet high is the top of the ladder?
7 feet
12 feet
8 feet
15 feet
Answer:
[tex]8 \ feet[/tex]
Step-by-step explanation:
In this situation, one is given the following information. A ladder is leaning against a wall and has a measure of (17) feet. The bottom of the ladder is (15) feet away from the wall. One can infer that the wall forms a right angle with the ground. Thus, the triangle formed between the ground, ladder, and wall is a right triangle. Therefore, one can use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle. The parameter (c) represents the hypotenuse or the side opposite the right angle. In this case, the legs are the ground and wall, and the hypotenuse is the ladder. Substitute this into the formula a solve for the height of the wall.
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex](ground)^2+(wall)^2=(ladder)^2\\\\(15)^2+(wall)^2=(17)^2\\[/tex]
Simplify,
[tex](15)^2+(wall)^2=(17)^2\\\\225+(wall)^2=289[/tex]
Inverse operations,
[tex]225+(wall)^2=289\\\\(wall)^2=64\\\\wall=8[/tex]
Find the mean of 2,2,2,2 and 2
Answer:
2
Step-by-step explanation:
mean = sum of data / no of data
=2+2+2+2+2/5
=10/5
=2
The number of measles cases increased 26.3% to 321 cases this year. What was the number of cases prior to the increase? Express your answer rounded correctly to the nearest whole number.
Answer:
The right answer is "[tex]x\simeq 254[/tex]".
Step-by-step explanation:
Let the number of earlier case will be "x".
Now,
⇒ [tex]x+x\times \frac{26.3}{100}=321[/tex]
or,
⇒ [tex]x+x\times 0.263=321[/tex]
By taking "x" common, we get
⇒ [tex]x(1+0.263)=321[/tex]
⇒ [tex]x=\frac{321}{1.263}[/tex]
⇒ [tex]=254.15[/tex]
or,
⇒ [tex]x\simeq 254[/tex]
determine lcm and HCF of 24 and 26 using prime factors
Answer:
WHAT IS THE FACTOR?
Step-by-step explanation:
How many students rank themselves as introverts? Demonstrate your work!!
Answer:
36 (maybe...)
Step-by-step explanation:
Technically there is no way to answer this question, it says that 120 ADULTS were surveyed and then asks how many STUDENTS rank themselves as introverts. But if we a supposed to assume that all adults are students:
The ratio of 3:7 means that for every 3 introverts, there are 7 extroverts.
In other words for every 10 people (total introvert+extrovert) there are 3 introverts.
So to find the number of introverts in the group of 120, just multiply by 3/10 or 0.3
The answer would be 36
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the dollar amount of discount of the set of chairs?
Answer:
$42.50
Step-by-step explanation:
All you have to do is simply multiply
170 x 0.25=$42.50
write the volume formula beside the solid figure
Answer:
cube(v=l×l×l)
cylinder (v= πr^2h)
cone(v=1/3πr^2h)
rectangular prism (v= area of base×lenght)
pyramid (v=1/3×area of base×h)
Step-by-step explanation:
Cube:-a^3
Cuboid:-lbh
Cylinder :-pi r^2h
Cone:-1/3pi r^2h
Mathematics puzzle from my calculus text book.
Answer:
[tex]{ \tt{g(x) = a {x}^{2} + bx + c = 0 }} \\ { \tt{f(x) = {a'x}^{2} + b 'x + c' = 0}} \\ { \boxed{ \bf{f(g(x)) = g(f(x))}}} : \\ { \tt{ =( \frac{a}{a'})x {}^{2} + ( \frac{b}{b'}) x} + \frac{c}{c'} } = 0[/tex]
Find the Greatest common factor of 120? Show your work!
Answer:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60
Step-by-step explanation:
1x120, 2x60, 3x40, 4x30, 5x24, 6x20, 8x15, 10x12, 12x10,15x8, 20x6, 24x5, 30x4, 40x3, 60x2
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound. The dried banana chips costs $4 per pound, the roasted almonds cost $8 per pound, and the chocolate chips cost $6 per pound. The amount of roasted almonds used is three times the amount of chocolate chips used. If they plan to make 100 pounds of this trail mix, how many pounds of each ingredient should be used
Answer:
[tex]x = 28[/tex] ----- Banana
[tex]y = 54[/tex] ----- Almonds
[tex]z = 18[/tex] ---- Chocolate
Step-by-step explanation:
Let
[tex]x \to[/tex] banana
[tex]y \to[/tex] almonds
[tex]z \to[/tex] chocolate
So, we have:
[tex]x + y + z = 100[/tex] --- total used
[tex]4x + 8y + 6z = 652[/tex] -- i.e. 6.52 * 100 --- total sales from 100 pounds
[tex]y = 3z[/tex]
Required
The number of pounds of each (i.e. x, y and z)
Substitute [tex]y = 3z[/tex] in [tex]x + y + z = 100[/tex]
[tex]x + 3z + z = 100[/tex]
[tex]x + 4z = 100[/tex]
Make x the subject
[tex]x = 100 - 4z[/tex]
Substitute [tex]y = 3z[/tex] in [tex]4x + 8y + 6z = 652[/tex]
[tex]4x + 8 * 3z + 6z = 652[/tex]
[tex]4x + 24z + 6z = 652[/tex]
[tex]4x + 30z = 652[/tex]
Substitute [tex]x = 100 - 4z[/tex]
[tex]4(100 - 4z) + 30z = 652[/tex]
[tex]400 - 16z + 30z = 652[/tex]
Collect like terms
[tex]- 16z + 30z = 652-400[/tex]
[tex]14z = 252[/tex]
Divide by 14
[tex]z = 18[/tex]
Substitute [tex]z = 18[/tex] in [tex]x = 100 - 4z[/tex]
[tex]x = 100 - 4 * 18[/tex]
[tex]x = 100 - 72[/tex]
[tex]x = 28[/tex]
To calculate y, we have:
[tex]y = 3z[/tex]
[tex]y = 3 * 18[/tex]
[tex]y = 54[/tex]
Answer my question you heathens
Each month your cell phone company charges you $ 40 for your plan plus 2 cents for each text you send. You have $ 120 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send __________ _______________ texts this month in order to stay within your budget.
Answer:
50 text messages would have to be sent or received in order for the plans to cost the same each month.
Step-by-step explanation:
x = number of text messages sent
0.2x+40=50
0.2x = 10
5(0.2x) = 5(10)
x = 50
Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x dollars.
Answer:
shall I have to answer for x pls tell
Answer:
D, B, C, A
Step-by-step explanation: