Answer:
The coordinates of the points in the graph are;
(5, 2), (10, 3.5), (15, 5), 20, 5.5)
The data points are plotted using MS Excel
Given that the height of a person stops increasing beyond around 20 years of age, it is expected that the height will remain slightly the same at 5.5 feet beyond 20 as follows;
(25, 5.5), (30, 5.5), (35, 5.5), (40, 5.5)
Therefore, if the data were to extend beyond 20, the linearization will give a more horizontal line with a gentler slope
Please see attached graphs created with MS Excel
Step-by-step explanation:
11 red marbles, 9 blue marbles and 20 green marbles as a ratio in its simplest form
Answer:
11 red
9 blue
20 green
as a ration is
11:9:20
since 9 and 11 are even numbers and can't be simplified
400th answer
Hope This Helps!!!
Help Please
Find The Surface Area Of The Prism
Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
The hypotenuse of a right angle triangle is 50cm and the legs are bin the ratio of 7:24. Find the area of right angle triangle.
Answer:
84 cm^2
Step-by-step explanation:
area of right triangle formula= 1/2 (base*height)
In order to find the area, you need the base and the height
The question included that the legs ratio are 7 to 24.
If you do [tex]\sqrt{7^2+24^2}[/tex], you get 25 (Pythagorean theorem)
so the base and heights are 7 and 24
1/2 (7*24)= 84
For a given event, what is the result of dividing the number of successful
outcomes by the number of possible outcomes?
A. Outcomes
ОО
B. Probability
h
c. Sample space
D. Empirical data
Answer: B. Probability
For example, let's say you want to know the probability of flipping tails.
There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.
We define "success" as "getting tails".
The function f(x) = log4x is dilated to become g(x) = f (1/3x).
What is the effect on f(x)?
Given:
The functions are:
[tex]f(x)=\log_4x[/tex]
[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]
The function f(x) is dilated to become g(x).
To find:
The effect on f(x).
Solution:
Transformation is defined as:
[tex]g(x)=f(kx)[/tex] ...(i)
Where, k is the factor of horizontal stretch and compression.
If 0<k<1, then the graph of f(x) stretched horizontally by factor [tex]\dfrac{1}{k}[/tex].
If k>1, then the graph of f(x) compressed horizontally by factor [tex]\dfrac{1}{k}[/tex].
It is given that
[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=\dfrac{1}{3}[/tex]
Therefore, the graph of f(x) stretched horizontally by factor [tex]3[/tex].
Determine the equation of a vertical line that passes through the point (-5,-2).
Answer:
Step-by-step explanation:
A vertical line is an "x = " equation. To find out what this equation is, just plug in the value that satisfies the x value in the coordinate:
x = -5
If we were looking for the horizontal line that goes through that same point, we only need remember that a horizontal line is a "y = " line. To find out what this equation is, just plug in the value that satisfies the y value in the coordinate:
y = -2
Find the missing part.
Z=
Answer:
Step-by-step explanation:
To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio
[tex]cos60=\frac{x}{15}[/tex] and
x = 15cos60 which gives us that
x = [tex]\frac{15}{2}[/tex]
Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.
[tex](\frac{15}{2})^2+z^2=15^2[/tex] and
[tex](\frac{225}{4})+z^2=225[/tex] and
[tex]z^2=225-\frac{225}{4}[/tex] and getting a common denominator:
[tex]z^2=\frac{900}{4}-\frac{225}{4}[/tex] and
[tex]z^2=\frac{675}{4}[/tex] now we take the square root by simplifying the radical to get
[tex]z=\frac{15\sqrt{3} }{2}[/tex]
and that's what goes into the blanks there, one number per blank.
david study table is 20 inches long. if the diagonal measures 25 inches, find the width of david study table
Answer:
15 inches
Step-by-step explanation:
Since we know diagonal and a side of a right triangle, we can use the Pythagorean theorem to solve.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20 ^2 + b^2 = 25^2
400+b^2 =625
b^2 =625 -400
b^2 =225
Taking the square root of each side
sqrt(b^2) = sqrt(225)
b= 15
Answer:
15
Step-by-step explanation:
You can use Pythagorean theorem or if you draw it out and label the given information you may recognize that the triangle created is a 3 - 4 - 5 triangle.
[tex]25^{2}[/tex] = [tex]20^{2}[/tex] + [tex]x^{2}[/tex] [tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
625 = 400 + [tex]x^{2}[/tex]
225 = [tex]x^{2}[/tex] Square root both sides
15 = x
A special right triangle has a leg that measures 3, another leg that measures 4. and a hypotenuse that measures 5.
The given triangle in this problem has a leg that measures 20 and a hypotenuse that measures 25. If you divide each measure by 5, you will have a leg that is 4, and a hypotenuse that is 5. That means the last leg must be 15.
Why? Because 3 x 5 = 15. or 15/5 = 3
This comes up very often when working with triangles.
Find the IQR and the Spread to this graph
Answer:
1 - 4
Step-by-step explanation:
26/4 = 6.5
IQR is the 7 - 19 item
1 - 4
Identify the slope and y-intercept of each linear function's equation.
y = 3x - 1
slope = 3; y-intercept at -1
x-3=y
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1; y-interceptat -3
--x+ 3 = y
t
slope = -1; y-intercept at 3
Step-by-step explanation:
Concerning the peculiar interrogate, I will be providing correction(s) to the following answers inserted:
Y = 3x - 1
Slope = 3
Y-intercept = -1
X - 3 = y
Y = x - 3 <== Slope-Intercept Form.
Slope = 1
Y-intercept: -3
Y = 1 - 3x
Slope: -3
Y-intercept: 1
-x + 3 = y
Y = -x + 3 <== Slope-intercept Form.
Slope: -1
Y-intercept: 3
Thus, the following configurations have been defined or derived from the origin of the proposed interrogated.
*I hope this helps.
Shannon buys a table that was priced $700. There is a 8% sales tax in her state. Fortunately, it was 60% off! So she only paid
Answer:
Total paid: 302.40
Step-by-step explanation:
Price x percent off = amount off
700 x .60 (60%) = 420 amount off
price - amount off = sales price
700 - 420 = 280 sales price
sales price x sales tax rate = sales tax
280 x .08 (8%) = 22.40 sales tax
sales price + sales tax = total paid
280 + 22.40 = 302.40 total paid
FOR EASY BRAINLIEST:
ANSWER NUMBER: 14.
Answer:
Step-by-step explanation:
Answer:
y=-3/2x+4
Step-by-step explanation:
If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)?
Answer:
(f-g)(2) = 14
Step-by-step explanation:
f(x) =3x^2 +1 and g(x) = 1 -x
f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13
g(2) = 1-2 = -1
f(2) - g(2) = 13 - -1 = 13+1 =14
Answer:
14
Step-by-step explanation:
(f-g)(2) means f of x minus g of x when x equals 2.
To solve, first set up the equation
[tex](3x^2}+1)-(1-x)[/tex]
Change the signs in the second part. {because this is subtraction}
[tex]3x^2}+1-1+x[/tex]
Replace x with 2.
[tex]3(2^2})+1-1+2[/tex]
Solve.
[tex]3(4)+2[/tex]
[tex]12+2[/tex]
[tex]14[/tex]
Transversal Problems with Equations (Level 1)
Jol 19, 2:05:45 PM
Given m||n, find the value of x.
(8x-7)°
(x-28)
Answer:
Submit Answer
I need help
Answer:
x is 21°
Step-by-step explanation:
The angles formed between the transversal t and lines m and n are; (8·x - 7)°, and (9·x - 28)°
Based on the similar location the angles are formed by the transversal, t, and lines m and n, the angles are corresponding angles
Given that lines, m and n are parallel, we have the corresponding angles formed by the transversal, t, and the lines are equal, therefore;
(8·x - 7)° = (9·x - 28)°
Simplifying the above equation to make x the subject, we get
(28 - 7)° = 9·x - 8·x = x
∴ 21° = x
x = 21°.
Will mark most brainly
Answer:
19 and 157
Step-by-step explanation:
How do you write 9% as a decimal?
Answer:
0.09
Step-by-step explanation:
9% written as a decimal is 0.09
8%=0.08
7%=0.07
6%=0.06
5%=0.05
4%=0.04
3%=0.03
2%=0.02
1%=0.01
write and expression for the perimeter of a rectangle with length L and width 6
Answer:
P = 2(L + 6)
Step-by-step explanation:
The perimeter (P) of a rectangle is = 2(Length + Width)
Length = L
Width = 6
.: P = 2(L + 6)
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.
y = x^3/2,
y=8
x=0
Solution :
[tex]$y=x^{3/2}, \ \ y =8, \ \ x=0$[/tex]
[tex]$v=2 \pi \int_0^4 x (8-x^{3/2}) \ dx$[/tex]
[tex]$= 2\pi \left(\frac{8x^2}{2}-\frac{x^{7/2}}{7/2}\ \left|_0^4[/tex]
[tex]$=2\pi \left( 4x^2-\frac{2}{7}x^{7/2}\ |_0^4$[/tex]
[tex]$=2\pi \left( 64-\frac{2}{7} \times 32 \times 4 \right)$[/tex]
[tex]$=2\pi \left(1-\frac{4}{7} \right) 64$[/tex]
[tex]$=128 \pi \times \frac{3}{7}$[/tex]
[tex]$=\frac{384 \pi}{7}$[/tex]
6/9 as a decimal rounded to 3 decimal places
Answer: 0.667
Step-by-step explanation:
6/9 ⇔ Given
2/3 ⇔ Simplify fraction
0.666... (repeating) ⇔ Convert fraction to decimal
0.667 ⇔ Round to 3 decimal (Since 6 is more than 5, thus we need to
rounding up)
Hope this helps!! :)
Please let me know if you have any questions
David is going to an amusement park. The price of admission into the park is $20,
and once he is inside the park, he will have to pay $5 for every ride he rides on. How
much
money would David have to pay in total if he goes on 10 rides? How much
would he have to pay if he goes on r rides?
Answer:
$70.00
y=5r+20
Step-by-step explanation:
1. y=5(10)+20
y=70
The cost he will pay for 10 rides will be $70 and for r rides will be [tex]20+5r[/tex].
Given,
The price of admission into the park is $20.
The price for each ride is $5
David takes 10 rides,
So, the cost he will pay if he took 10 rides will be,
[tex]c_1=20+5 \times 10\\c_1=20+50\\c_1=70$[/tex]
If he had r rides,
So, the cost he will pay if he took r rides will be,
[tex]c_2=20+5 \times r\\c_2=20+5r[/tex]
Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be[tex]20+5r[/tex].
For more details about linear equation, refer to the link:
https://brainly.com/question/3997793
Find the volume of the composite figure. Round to the nearest tenth. (Hint: Volume of a cone is V= 1/3 pie^2 h)
Answer:
the answer is in the pic so like yea hope that helps
HELP!!! 15 points. picture below
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3} [/tex]
Answer:
cos theta =± 2/3
Step-by-step explanation:
sin theta = sqrt(5) /3
sin theta = opp side / hypotenuse
We know that
a^2 + b^2 = c^2 from the pythagorean theorem
opposite side ^2 + adjacent side ^2 = hypotenuse ^2
( sqrt(5)) ^2 + adjacent side ^2 = 3^2
5 + adjacent side ^2 = 9
Subtract 5 from each side
5-5 + adjacent side ^2 = 9-5
adjacent side ^2 = 4
Taking the square root of each side
adjacent side = ±2
We know that
cos theta = adj side / hyp
cos theta =± 2/3
True or false..?
In a parallelogram, consecutive angles are supplementary.
Answer:
True
Step-by-step explanation:
Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.
Answer:
true
Step-by-step explanation:
any 2 consecutive angles are supplamentary
A high school football team has raised $1000 to spend on team jackets. The cost is $50 per jacket. Which equation below can be used to solve for the number of jackets the team can buy? Explain.
A. 50 = 1000n
B. 50n = 1000
C. 1000n = 50n
I have 15.00 and I want to go to the movies tickets cost 12.35 how much will I get back plz help
Answer:
2.65
Step-by-step explanation:
15.00 - 12.35 = 2.65
...I don't really know how do explain it but yeah thats the answer.
Hope it helps c:
Polynomial x²-6y²-xy-5x-5y+6 was factored into (x+ay+b)(x+cy-2) for constants a, b and c. Find the value of a+bc
Answer:
We know that the polynomial:
x²- 6y²- xy - 5x - 5y + 6
is rewritten as:
(x+ay+b)(x+cy-2)
First, lets expand the above expression:
x^2 + x*(cy) + x*(-2) + (ay)*x + (ay)*(cy) + (ay)*(-2) + b*x + b*(cy) - 2*b
Now we can simplify this to get:
x² + c*(xy) - 2*x + a*(xy) + ac*y² - 2a*y + b*x + bc*y - 2b
now let's group together the terms with the same variables:
x² + (c + a)*(xy) + (b - 2)*x + (bc - 2a)*y + ac*y² - 2b
And that must be equal to:
x²- 6y²- xy - 5x - 5y + 6
notice that equations are equal if and only if all the correspondent factors are equal.
notice that in both cases, the factor that multiplies the x² term is 1.
for the y² term we will have:
a*c = -6
for the xy term we will have
c + a = -1
for the x term we will have
b - 2 = - 5
for the y term we will have
bc - 2a = -5
for the constant term, we will have:
-2b = 6
Then we have a lot of equations, rewriting these we have:
a*c = -6
c + a = -1
b - 2 = -5
bc - 2a = -5
-2b = 6
From the fourth equation, b - 2 = -5
we can get:
b = -5 + 2 = -3
b = -3
notice that for the last equation:
-2b = 6
b = 6/-2 = -3
we have the same solution
Then we can replace the value of b in the above equations to get:
a*c = -6
c + a = -1
-3*c - 2a = -5
Now, we need to isolate one of the variables in one of the equations.
For example, we can isolate c in the second one to get:
c = -1 - a
now we can replace that in other equation, for example the third one:
-3*(-1 - a) - 2a = -5
now we can solve that for a.
3 + 3a - 2a = -5
3 + (3 - 2)a = -5
3 + a = -5
a = -5 - 3 = -8
a = -8
now we can use the equation "c = -1 - a" to find the value of c:
c = -1 -(-8) = -1 + 8 = 7
c = 7
then we have:
b = -3
a = -8
c = 7
then:
a + b*c = -8 + (-3)*7 = -8 - 21 = -29
Tìm min: 4 căn x -5/ 3 căn x+2
Answer:
bgyuhjvy;uhclgcxfghvmdxultgjvffgxfbc hgv
Step-by-step explanation:
vgfdhvczczxcgfzdsdvcxfdghcbcd
(2.35 x 10^4) – (4.50 x 10^5)
Answer:
−426500
Step-by-step explanation:
the scale for a certain model freight train is 1: 48. if the model hopper car (usually used for carrying coal) will hold 90 in3 of coal, what is the capacity of the actual hopper car?
Answer:
Step-by-step explanation:
Scale measure is a one-to-one thing while volume is a cubed thing. If we want to find the volume that the actual car can hold, we have to find the volume that results from cubing the one-to-one measure.
[tex]\frac{m}{a}:\frac{1^3}{48^3}=\frac{1}{110592}[/tex] That last fraction is the ratio of the volumes. Remember, volume is a cubed measure (where distance is a linear measure and area is a squared measure. We find ratios of areas by squaring the one-to-one {distance} measures, and we find ratios of volumes by cubing the one-to-one measures). We have a given volume for the model (m in our ratio) and we are looking for the capacity that the actual car (a in our ratio) can hold. Set up the proportion as follows:
[tex]\frac{1}{110592}=\frac{90}{x}[/tex] and cross multiply
x = 9,953,280 inches cubed
Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?
Select all that apply.
pentagon
circle
square
hexagon
rectangle
triangle