Step-by-step explanation:
please check the attachment
g(x) = 3x -1. Find x such that g(x)= 20.
g(x)= 3x+1. Find x such that g(x)= 22.
g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0
Please solve this quickly. I need it right now. No silly answer will not be allowed.
Step-by-step explanation:
i. 3x-1=20
or, 3x= 21
x= 7
ii. 3x+1= 22
3x= 21
x= 7
iii. 2x-5=99
2x= 104
x=52
iv. g(3)= 3+5/2= 11/2
g(0)= 0+ 5/2=5/2
g(-3)= -3+5/2 = -1/2
x+5/2= 0
so, x= -5/2
what is the length is centimeters of line segment AD?
=========================================================
Explanation:
Focus solely on triangle ABD.
Let x be the length of AD. This is the unknown horizontal leg of the triangle. The vertical leg is known, so we'll say b = 16.
The hypotenuse is 20, so c = 20.
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 16^2 = 20^2
x^2 + 256 = 400
x^2 = 400 - 256
x^2 = 144
x = sqrt(144)
x = 12
Segment AD is 12 cm long.
I just want to make sure or is it b?
the value of each square root
Answer:
root 324=18
root 441=21
root 529=23
Step-by-step explanation:
root 324 = 18
root 441 = 21
root 524 = 23
PLEASE HELP ASAP, THIS IS A TIMED MATH QUESTION!!!
I'LL MARK BRAINLIEST FOR CORRECT ANSWERS!
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex]\displaystyle \sec A=\frac{65}{63}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \csc A=\frac{65}{16}[/tex]
Where A is in QI.
And we want to find sec(A).
Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:
[tex]a=\sqrt{65^2-16^2}=\sqrt{3969}=63[/tex]
So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.
Since A is in QI, all of our trigonometric ratios will be positive.
Secant is the ratio of the hypotenuse to the adjacent. Hence:
[tex]\displaystyle \sec A=\frac{65}{63}[/tex]
Answer:
Step-by-step explanation:
cosec A =60/16
hypotenuse/opposite = 60/16 =15/4 (in simplest form)
therefore hypotenuse = 15 , opposite = 4
then adjacent =? (let be x)
using pythagoras theorem to find adjacent
opposite^2 + adjacent^2 = hypotenuse^2
4^2 + x^2 = 15^2
16 + x^2 = 225
x^2 = 225 - 16
x^2 = 209
[tex]x=\sqrt{209}[/tex]
sec A =hypotenuse/adjacent
[tex]=\frac{15}{\sqrt{209} }[/tex]
[tex]=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }[/tex]
=[tex]\frac{15\sqrt{209} }{209}[/tex]
Which quadrilateral makes this statement true? Quadrilateral ABCD ≅ _____  A.   B.   C.   D. 
Assume that a cell is a sphere with a radius of 10-³ or 0.001 centimeters and that a cell’s density is 1.1 grams per cubic centimeter.
Koalas weigh 6 kilograms on average. How many cells are in the average koala?
Answer:
[tex]n=1.3\times 10^{12}[/tex]
Step-by-step explanation:
Given that,
The radius of a cell, r = 10⁻³ cm
The density of the cell, d = 1.1 g/cm³
The weight of the Koala, m = 6 kg = 6000 grams
The density of an object is given by:
[tex]d=\dfrac{m}{V}[/tex]
For n cells,
[tex]nd=\dfrac{m}{V}\\\\n=\dfrac{m}{dV}[/tex]
Put all the values,
[tex]n=\frac{6000}{\frac{4}{3}\cdot\pi\cdot\left(10^{-3}\right)^{3}\cdot1.1}\\\\n=1.3\times 10^{12}[/tex]
So, there are [tex]1.3\times 10^{12}[/tex]cells in the average koala.
expand and simplify
2(3x - 5) + 3(x + 3)
can someone do this ASAP pls with no links :)
Answer:
9x-7
Step-by-step explanation:
2(3x-5) = 6x - 10
3(x+3) = 3x + 3
= 9x-7
Answer:
Step-by-step explanation:
2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3
= 6x - 10 + 3x + 9
= 6x + 3x - 10 + 9 {Combine like terms}
= 9x - 1
Help out please !!!!
Answer:
B maybe
Step-by-step explanation:
Is each statement true for OA? Drag “true” or “false” below each statement
Answer:
true. true. false.
Step-by-step explanation: i’m in love with the shape of u. we push and pull like magnet whatever
6 yd
4 yd
7 yd
4 yd
Perimeter:
Area:
Help me find the area and the permiter
Step-by-step explanation:
Assuming figure to be trapezoid,
Perimeter=6+4+7+4yd
=21 yd
Area of trapezoid=((6+7)/2) x ((4)^2-(0.5)^2)
=(13/2)x(16-0.25)
=6.5 x 15.75
=102.375 Sq yards
Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
What is the quotient? StartFraction 3 y + 2 Over 3 y EndFraction divided by StartFraction 6 y squared + 4 y Over 3 y + 2 EndFraction
Answer:
[tex]\frac{3y+2}{6y^2}\\[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{3y+2}{3y}/\frac{6y^2+4y}{3y+2} \\= \frac{3y+2}{3y} * \frac{3y+2}{6y^2+4y}\\= \frac{3y+2}{3y} * \frac{3y+2}{2y(3y+2)}\\= \frac{3y+2}{3y} * \frac{1}{2y}\\= \frac{3y+2}{6y^2}\\[/tex]
A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years. Round to the nearest whole number.
Answer:
6500
Step-by-step explanation:
(3)1% of 5000 = (3)50= 150
150x 10= 1500
1500+5000=6500
HELlLlLlPllLl is it
10
2
1
9
Answer:
2
Step-by-step explanation:
Someone PLEASE HELP!!!!! it’s urgent please help ASAP
The line the puck traveled is the hypotenuse of a right triangle.
Using the Pythagorean theorem:
Travel = sqrt( 4^2 + 30^2)
Travel = sqrt( 16 + 900)
Travel = sqrt(916)
Travel = 30.265 feet ( round the answer as needed)
Suppose the population of a small town is 567 in 2011. The population DECREASES at a
rate of 5% every year. What will be the population of the town in 2021? Round your answer
to the nearest whole number.
Answer:
2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer
Answer:
339
Step-by-step explanation:
a = 567 (.95)¹⁰
a = 339.4838445482
Rounded
339
2 to the power of 4 - 3+2x5
Answer:
121
Step-by-step explanation:
(4 - 3+2·5)²
Multiply
(4-3+10)²
Now add and subtract
(1+10)²
11²
121
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-3
Step-by-step explanation:
The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
P O R N G I R L S O N L Y
xni-jwtm-twb
Solve for x Log2 x=-5
Can anyone help me out with this I would truly appreciate it
Answer:
8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6t - 20 - 32u
t = 6
u = 1/4
Step 2: Evaluate
Substitute in variables: 6(6) - 20 - 32(1/4)Multiply: 36 - 20 - 8Subtract: 8Answer:
8
Step-by-step explanation:
Given
6t - 20 - 32u ( substitute the given values into the expression )
= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )
= 36 - 20 - 8
= 16 - 8
= 8
What would the equation be if the points were 6,18 and -12,3
Answer:
[tex]y=\frac{15}{18} x+13[/tex]
Step-by-step explanation:
Use a graphing calculator,
hope it helps
Please help me. The answer in the booklet says it’s R=3, but I need working out because I don’t get it.
Answer:
3.
Step-by-step explanation:
R = √[(2)^2 + (√5)^2]
= √(4 + 5)
= √9
= 3.
Answer:
3
Step-by-step explanation:
[tex]R =\sqrt{a^{2}+b^{2}}\\\\= \sqrt{2^{2}+(\sqrt{5})^{2}}\\\\= \sqrt{4+5}\\\\=\sqrt{9}\\\\= \sqrt{3*3}\\\\= 3[/tex]
Hint: (√5)² = [tex]\sqrt{5}*\sqrt{5} = \sqrt{5*5}=5[/tex]
Find the range of the graphed function.
10
10
M
-101
O A. O sys 10
O B. yis all real numbers.
O C. y20
OD. -9 sys5
Answer:
-9≤y≤5
Step-by-step explanation:
The range is the values that the output can take
The smallest value that the output takes is -9 and the largest value is 5
-9≤y≤5
I’ll give someone brainliest!!! Help!!!
Which of the following is the equation of a line perpendicular to the line y = - 1/3 * x + 1 passing through the point (2, 7) ?
A. 3x - y = 1
B. - 3x - y = 1
C. 3x - y = - 1
D. - 3x + y = - 1
Answer:
Option C is the correct one
Step-by-step explanation:
given equation of a line is y=-1/3x+1
comparing the given equation with y=mx+c
therefore,slope(m)=-1/3
then,
slope of line perpendicular to the line having slope -1/3 is (m2)=3
Equation of line having slope (m2)=3 and passing through point (2,7) is
y-y1=m2*(x-x1)
or,y-7=3(x-2)
or,y-7=3x-6
or,3x-y-6+7=0
or,3x-y+1=0
or,3x-y=-1 is the req.equation.
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
x > -2.5
Step-by-step explanation:
1) 5.1 (3 + 2.2x) > -14.25 - 6 (1.7x + 4)
2) 15.3 + 11.22x > -14.25 - 10.2x - 24
3) 15.3 + 11.22x > -38.25 - 10.2x
4) 11.22x + 10.2x > -38.25 - 15.3
5) 21.42x > -53.55
6) x > -2.5
Alternate forms
x > -5/2x or x > -2 1/2
Please help i'm struggling with this!
Answer:
second option is correct (for question no 20)
Step-by-step explanation:
coordinate points are:
(3,1) = (x1,y1)
(5,9) = (x2,y2)
slope (m) = y2-y1/x2-x1
=9-1/5-3
=8/2
=4
Now using slope intercept form
y=mx + b
y=4x + b
since the line passes through the point (3,1) it satisfies the equation
y=4x + b
1=4*3 + b
1-12 = b
-11 = b
substituting the value of b in equation
y=4x + b
y=4x +(-11)
y=4x - 11
PLEASE I HAVE BRAINLY PLUS AND IT NOT WORKING SEND HELLP
Step-by-step explanation:
the answer is in the above image
but I do not get the meaning of Dy