Answer:
1/10 or 0.1
Step-by-step explanation:
10^x-3
10^2-3
10^-1
1/10 or 0.1
2x-5y=9
3x+4y=2
solve the simultaneous questions
Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)
Step-by-step explanation:
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
Read more on volume of prism here: brainly.com/question/3867601
Answer: 54 m³
Step-by-step explanation: proof with more answers
Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3
Answer:
The answer should be C. 250 in^3
Answer:
C. 250 in^3
Step-by-step explanation:
can you help me pls? i need it
Answer:
$168.75
Step-by-step explanation:
In the morning you'll have a time of about 4 hours.
In the afternoon you'll have 8.5 hours.
You take these and add them together 4 + 8.5 = 12.5
Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75
Which set of numbers could represent the lengths of the sides of a right triangle?
13, 21, 34
8, 14, 21
15, 18, 26
12, 16, 20
Answer:
9*9+40*40=41*41
Step-by-step explanation:
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no.is the correct answer.
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=
What is the value of x in the figure at the right?
Answer:
x=11
Step-by-step explanation:
It seems that the two angles are supplementary. Soo they add up to 180
Thus,
15+15x=180
Solve for x...
15x=165
x=11
Hope this helps!!!
You want to purchase a Christmas tree, normally priced at $364. 0. It is on sale for $72. 80. What percent of a discount are you getting? List your answer as a whole number
Answer:
20% off
Step-by-step explanation:
Divide:
72.8/364
Answer:
.20
Convert:
.20=20%
The shopkeeper giving 80% discount on the Christmas tree during the sale.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
What is discount percent formula?[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]
According to the given question.
The marked price of the Christmas tree i.e. original price = $364.
The price of the Christmas tree on sale i.e. final price = $72.80
So,
The discount given on the Christmas tree
= Original price - final price
= $364 - $72.80
= 291.2
Therefore,
Discount percent = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]
Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.
Find out more information about discount and discount percent here:
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#5
What is the value of x ? Round to one decimal place if
necessary. If your answer is correct you will see ar
image appear on your screen.
F
Submit
40°
50°
T
✓
D
X
E
Answer:
6
Step-by-step explanation:
because 5 is greater than 4
simplify (3a^2-6a+3)/(a^2-1) if a is not 1
[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.
The equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
What is a Leading Coefficient?A leading coefficient is the term that has the highest degree in a polynomial expression.
What is a Constant?A constant is a term that has only numbers and contains no variable.
We are given the following equations:
0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.
Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
Learn more about leading coefficient on:
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Write y – 3 = (x – 6) in standard form.
Answer:
x-y=3
Step-by-step explanation:
Answer:
[tex]x - y = 3[/tex]
is
[tex]y - 3 = (x - 6)[/tex]
in standard form
Henry found some pants on sale for 60% off. If the pants were originally $100, how much are they now?
Answer:
$40
Step-by-step explanation:
Old Sale Price = $100
It was given 60% discount
60% of 100 = 0.6 x 100 = 60
we remove the discount from the original price( 100 -60 ) = 40.
So the new sale price for the pants are now $40
If sin(0)=24/26 what are the other two trigonomic ratios
Answer:
[tex]\begin{aligned}{&\cos \theta=\frac{10}{26} \\\bf{&\tan \theta=\frac{24}{10}}\end{aligned}[/tex]
Step-by-step explanation:
Since the angle is in the first quadrant, the values of all trigonometric functions are positive. Also. the formulas for the trigonometric functions we need to find from the problem are shown below:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\\tan \theta &=\frac{y}{x}\end{aligned}[/tex]
Based on the formulas listed, the value of y and r are y = 24 and r = 26 respectively. This means that in order to determine the value of the other functions, we need In compute for the value of x using the Pythagorean Theorem:
[tex]\begin{aligned}r^{2} &=x^{2}+y^{2} \\r^{2}-y^{2} &=x^{2}+y^{2}-y^{2} \quad\left[\text { \text{Subtracting \ both \ sides \ of \ the \ equation\ by} } y^{2}\right] \\r^{2}-y^{2} &=x^{2} \\\sqrt{r^{2}-y^{2}} &=\sqrt{x^{2}} \\\sqrt{r^{2}-y^{2}} &=x \\\sqrt{26^{2}-24^{2}} &=x \\10 &=x\end{aligned}[/tex]Then, substituting this to the formula to determine the answers yields:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\&=\frac{10}{26} \\\tan \theta &=\frac{y}{x} \\&=\frac{24}{10}\end{aligned}[/tex]
Therefore, the answers are:
[tex]\begin{aligned}&\cos \theta=\frac{10}{26} \\&\tan \theta=\frac{24}{10}\end{aligned}[/tex]
Answer:
See below
Step-by-step explanation:
We are here given that ,
[tex]\longrightarrow \sin\theta =\dfrac{24}{26}[/tex]
And we would like to find out other trigonometric ratios ( since it is not mentioned about which two I will find out all 6 ) . As we know that ,
[tex]\longrightarrow \sin\theta =\dfrac{perpendicular}{hypotenuse} =\dfrac{p}{h}[/tex]
So that ,
[tex]\longrightarrow \dfrac{p}{h} =\dfrac{24}{26}[/tex]
Let us assume the given ratio to be 24x : 26x .
So we can say that ,
hypotenuse = 26xperpendicular = 24xNow let's find out the value of base , so that we can find out the other ratios .
By Pythagoras Theorem ,
[tex]\longrightarrow (perpendicular) ^2+(base)^2=(hypotenuse) ^2[/tex]
Substitute the respective values ,
[tex]\longrightarrow (26x)^2=(24x)^2+b^2\\[/tex]
[tex]\longrightarrow 676x^2 = 576x^2+b^2\\ [/tex]
[tex]\longrightarrow b^2=100x^2\\[/tex]
[tex]\longrightarrow b =\sqrt{100x^2}\\[/tex]
[tex]\longrightarrow \boldsymbol{ b = 10x } [/tex]
Now we may find the other ratios as ,
[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{10x}{26x}=\boxed{\boldsymbol{\dfrac{5}{13}}}\\[/tex]
[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}=\dfrac{24x}{10x}=\boxed{\boldsymbol{\dfrac{12}{5}}}\\[/tex]
[tex]\longrightarrow \cosec\theta =\dfrac{hypotenuse}{perpendicular}=\dfrac{26x}{24x}=\boxed{\boldsymbol{\dfrac{13}{12}}}\\ [/tex]
[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{26x}{10x}=\boxed{\boldsymbol{\dfrac{13}{5}}} \\[/tex]
[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{10x}{24x}=\boxed{\boldsymbol{\dfrac{5}{12}}} [/tex]
And we are done !
please help me answer the question in the image
Answer:
2x/x+2
Step-by-step explanation:
Factor out 2x in the numerator
Then you get: 2x(x+4)
Factor the denominator
Two numbers that multiply to 8 and add to 6(2 and 4)
So you get: (x+2)(x+4)
Now you have: (2x(x+4))/(x+2)(x+4)
Simplify by cancelling the x+4
2x/x+2
Hey there!
Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]
Solving steps:-
[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]
~Done~
what is 5x+10 in its simplifiyed form?
srry for my spelling, in a rush- lol
Answer:
5(x+2)
Step-by-step explanation:
omly
Purple
Green
Blue
in
Number
6
9
5
of trials
Based on the data, how many times
would you expect Anya to pick a
purple marble if she ran 90 trials?
Can someone please help me out with this question?
Use the slope formula and pick any two points to find the slope.
m= Y2- Y1/x2-x1
I picked the points (1,8) (3,14).
14-8/3-1= 6/2= 3
Hope this helps .
Please help .!!!!!!!!!!!!!!!
This being a piecewise function, trying to solve f(2), we must find which two equations we can use.
We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2
--> f(2) = 3(2) + 1 = 7
Hope that helps!
is 56/72 and 7/9 proportional
Answer:
Yes. They are proportional.
Step-by-step explanation:
[tex]\frac{56}{72} =\frac{7}{9}[/tex]
[tex]0.777=0.777[/tex]
The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn.
since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]
Consider the quadratic function.
f(x)=x^(2)+2x-15
If the line of symmetry of the function is located at x=N, what is the value of N?
HELP ASAP
Answer:
N = -1
explanation:
x = N
solving steps:
[tex]\sf f(x)=x^2+2x-15[/tex]
To find symmetry of a quadratic function.
vertex formula : [tex]\sf x=\dfrac{-b}{2a}[/tex]
[tex]a=1,\:b=2[/tex]
[tex]\sf x=\dfrac{-2}{2\cdot \:1}[/tex]
[tex]\sf x = -1[/tex]
Then,
N = -1
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
pls help i will give 5 starts and brainliest question is down below 9:22
4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
Mr. Sanko downloaded 34 more songs than Mrs. Sanko downloaded. Together they downloaded 220 songs. How many songs did each download?
Let X=Mr. Sanko and Y=Mrs. Sanko
a. Mr. Sanko downloaded 127 songs.
Mrs. Sanko downloaded 93 songs.
b. Mr. Sanko downloaded 93 songs.
Mrs. Sanko downloaded 127 songs.
c. They downloaded the same amount of songs.
Part b: Type the two equations for this situation:
pls help with this brain boggling work
:)
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
PLEASE HELP ME! AFCVGBHNJMK
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Answer:
9 and 18
Step-by-step explanation:
let the numbers be x and 2x
so that x+2x=27
3x=27
x=9
so the numbers are 9 and 18.
I hope this will help
Answer:
9 and 18[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.
[tex] \\ [/tex]
Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .
[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]
Adding like terms we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]
Dividing both sides by 3 we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]
So,
One of the number is 9.[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]
Therefore,
The two numbers are 9 and 18.