Answer:
y=2
Step-by-step explanation:
53y–16= 90
53y=90+16
53y=106
y=106/53
y=2
Answer:
y = 2
Step-by-step explanation:
If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.
Therefor
53y - 16 = 90
add 16 to both sides
53y = 106
Divide both sides by 53
y = 106/53
y = 2
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.
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
Simo scored 65 points in a game. Ella scored e points in the same game. If they scored a total of t points for the game, write an equation that expresses t in terms of e. You will not solve this equation, just write it.
Answer:
Step-by-step explanation:
Lucy=65
Eva= X points
Total:
Points = 65 + 65 = 130
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
Name the set(s) of numbers to which –5 belongs. a. whole numbers, natural numbers, integers b. rational numbers whole numbers, integers, rational numbers d. integers, rational numbers c.
5 belong to whole number. b I don't know
how do you do this?
Step-by-step explanation: 6 22 22 51
one orange box is 10 the other box looks like 15
the scale factor is 15/10 or 1.5
the smaller triangle blue box is a 4
multiply 4 by the scale factor 1.5
4 × 1.5 = 6
HELlLlLlPllLl is it
10
2
1
9
Answer:
2
Step-by-step explanation:
Can some help me solve this.
Answer:
The fourth (last) function is the correct one.
Step-by-step explanation:
Look at the parent function y = √x, Its graph goes through (0, 0). On the other hand, if y = √(x - h), the graph goes through (h, 0) if h is positive, and the graph is translated h units to the right from the graph of y = √x. If h is negative, the graph is translated h units to the left.
In the four possible answers given, the values of h are {-4, 9, 5, -9}, in that order. h = -9 results in the graph that is positioned 9 units to the left of the graph of y = √x. This graph is furthest to the left. Thus the fourth choice is the correct one.
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)
If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?
Answer:
x - y = 25
Step-by-step explanation:
3x - 4y = 15
-2x + 3y = 10
Add the two equations together
3x - 4y = 15
-2x + 3y = 10
----------------------
x - y = 25
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
>> 3x - 4y = 15
>> -2x + 3y = 10
Add the two equations together
>> 3x - 4y = 15
>> -2x + 3y = 10
----------------------
Hence, x - y = 25
Determine the vertex of the quadratic relation y= 4x2 + 32x – 11
Answer:
vertex = (- 4, - 75 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 4x² + 32x - 11 ← is in standard form
with a = 4, b = 32 , then
x = - [tex]\frac{32}{8}[/tex] = - 4
Substitute x = - 4 into the equation for corresponding y- coordinate
y = 4(- 4)² + 32(- 4) - 11
= 4(16) - 128 - 11
= 64 - 139
= - 75
vertex = (- 4, - 75 )
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.
Factor the common factor out of each expression: 30+6k+18k^5
Which quadrilateral makes this statement true? Quadrilateral ABCD ≅ _____  A.   B.   C.   D. 
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
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
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]
Solve for x Log2 x=-5
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
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
PLEASE HELP ASAP, THIS IS A TIMED MATH QUESTION!!!
I'LL MARK BRAINLIEST FOR CORRECT ANSWERS!
Can somebody pls help
Answer:
A, c, d
Step-by-step explanation:
Answer:
C & D
Step-by-step explanation:
In order to find the perimeter, we would need to add all the sides. w+L+w+L would be adding the lengths and the widths. Simplifying this, we would get 2w, because there are 2 sides that are the same width, and 2 sides that are 2 lengths.
w+L+w+L or w+w+L+L or 2w+2L
Hope this helps!
--Applepi101
Help out please !!!!
Answer:
B maybe
Step-by-step explanation:
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
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
I just want to make sure or is it b?
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
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
A.)
Step-by-step explanation:
A.)
Answer:
A :)
Step-by-step explanation:
how many tons is 9,000 lbs?
Answer:
9000 Pounds (lbs) = 4.017859 Tons (t)
1 lbs = 0.000446 t
1 t = 2,240 lbs
Step-by-step explanation:
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