Answer:
x = 19
<6 = 109
<7 = 109
Step-by-step explanation:
Angles 6 and 7 are vertical angles so they are equal
7x -24 = 5x+14
Subtract 5x from each side
7x-5x -24 = 5x-5x+14
2x-24 = 14
Add 24 to each side
2x-24 +24 = 14+24
2x = 38
Divide by 2
2x/2 = 38/2
x = 19
<6 = 7x -24 = 7*19 -24 = 109
<7 = 5(19)+14 = 109
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
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
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.
Factor the common factor out of each expression: 30+6k+18k^5
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
HELP! Which of the following statements would prove line l is parallel to line m?
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.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
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
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:
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
Which quadrilateral makes this statement true? Quadrilateral ABCD ≅ _____  A.   B.   C.   D. 
HELlLlLlPllLl is it
10
2
1
9
Answer:
2
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
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
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
the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length
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
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)
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
Help out please !!!!
Answer:
B maybe
Step-by-step explanation:
Solve for x Log2 x=-5
QUESTION 2
Simplify the following
a5×a7
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
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.
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
39.76÷7.94
use compatible numbers and estimate
Answer:
5
Step-by-step explanation:
As for estimation, you may round 39.76 to the whole number, resulting in 40.
7.94 to 8
40 / 8 = 5
5 is your answer for the result of estimation
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
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.
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
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