Answer:
[tex]x=-35[/tex]
Step-by-step explanation:
Given the following question:
[tex]59+x=24[/tex]
To find the answer we are going to use inverse of operations to isolate the variable, doing this we can then find the value of the variable.
[tex]59+x=24[/tex]
[tex]59-59=0[/tex]
[tex]24-59=-35[/tex]
[tex]x=-35[/tex]
Your answer is "x = -35."
Hope this helps.
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
5.7 cm
Step-by-step explanation:
4^2 + 4^2 = c^2
16 + 16 = c^2
c^2 = 32
√c^2 = √32
c ≈ 5.6568
c = 5.7
If the function f(x) = 4* is translated up 6 and left 2, write the new function
Answer:
f(x+2)+6 = 4^(x+2)+6
Step-by-step explanation:
(The power is to the x+2) Hope this helps!:)
Which transformation of AB will produce a line segment A'B' that is parallel to AB?
Options:
Rotation of 180° about point B
Rotation of 90° about point b
Reflection over the x-axis
Translation down 2 units
Answer:
Rotation of 180° about point B
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. [tex]B = (x,y)[/tex]
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (x,y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{y - 0}{x - 0}[/tex]
[tex]m = \frac{y}{x}[/tex]
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
[tex]B' = (-x,-y)[/tex]
Taking the slope of B'
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (-x,-y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-y - 0}{-x - 0}[/tex]
[tex]m = \frac{-y}{-x}[/tex]
[tex]m = \frac{y}{x}[/tex]
Notice that the slope of B and B' is the same;
[tex]m = \frac{y}{x}[/tex]
Hence:
Rotation of 180° about point B answers the question
There's no need to check for other options
please help??? i’m not sure the answers or how to do this. greatly appreciated
1)
I think you should start off by solving the function equal to the given growth.
[tex]f(m) = 5.98[/tex]
[tex]3(1.09) {}^{m} = 5.98[/tex]
[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]
[tex]1.09 {}^{m} = 1.9933[/tex]
[tex]m \times ln(1.09) = ln(1.9933) [/tex]
[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]
It is sufficient to plot the exponential growth over the domain m [0,8]
2)
The y-intercept in this case represents the growth achieved at the beginning when m=0.
Before the experiment started::
3)
I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,
[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]
Note that c is the average rate of change.
Find f(2) first by substituting 2 in f(m)
f(2)=3(1.09)²=3.5643
[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]
[tex]c = \frac{2.4157}{6} = 0.4026[/tex]
average growth=0.4026 cm/month
Tony has a narrow piece of wood that is 40 inches long. He wants to make a frame for a picture. He wants to top and bottom to be 12 inches in length. How wide will be?
Floria wants to buy a dress that costs $96. She has saved $60 for the dress. What percent of the price of the dress has she saved?
Answer:
she saved 37.5%
Step-by-step explanation:
96-60=36
96*x=36
divide both sides by 96
x=0.375
Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.
The balance in Dee's account is 34 the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.What is the balance in Zac's account?
Answer:
34%
Step-by-step explanation
34% (I believe)
Find the values of x and y that make the quadrilateral a parallelogram.
Answer:
Parallelogram means opposite sides equal and parallel to each other
So
x=16y=9Done!
the ratio of prizes to contestants if there are 3 prizes for every 10 contestants
Answer: (3,10)??? this question isn't specific sorry
Step-by-step explanation:
Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R3 connected in series. Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.
Answer:
Step-by-step explanation:
the resistors which connected in series
equivalent resistance = R1 +R2 + R
is the relationship between the resistors connected in series.
For parallel connection
R1 = 2ohm
R2 = 3ohm
R3 = 6ohm
for equivalent resistance (Rt)
1/Rt = 1/R1 + 1/R2 + 1/R3
1/Rt = 1/2 + 1/3 + 1/6
1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1
Rt = 1 ohm
equivalent resistance = 1 ohm
point b is between A and C. if AB =2x, BC =3x+1, and AC=21, find the length of BC
Step-by-step explanation:
We are here given that a point B is between A and C . Also ,
Value of AB = 2x Value of BC = 3x + 1 Value of AC = 21 .And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,
[tex]\rm:\implies AC = AB + BC [/tex]
Substitute the respective values,
[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]
Add like terms ,
[tex]\rm:\implies 21 = 5x +1 [/tex]
Subtract 1 on both sides,
[tex]\rm:\implies 21-1 = 5x [/tex]
Simplify,
[tex]\rm:\implies 20=5x [/tex]
Divide both sides by 5,
[tex]\rm:\implies \blue{ x = 4}[/tex]
Now consider ,
[tex]\rm:\implies BC = 3x+1 [/tex]
Plug in the value of x found above ,
[tex]\rm:\implies BC= 3(4)+1[/tex]
Simplify,
[tex]\rm:\implies BC = 12+1[/tex]
Add,
[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]
And we are done !
Answer:
+ BC = AC
x + 2x+1 = 22
3x +1 = 22
3x = 21
x = 7
AB = 7
BC = 2*7+1 = 14 + 1 = 15
15 - 2
13
Question
Sami's savings account earns 4% simple interest. If Sami starts with $500 in her account, how much money will she have in
her account after four years?
Answer:
$584.92928
Step-by-step explanation:
If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:
y=500(1.04)^x
y being dollars and x in years
if we replace x with 4, the answers come out to be 584.92928
Answer:
Step-by-step explanation:
First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is
r=4%=4100=0.04.
The principal P=500, so the future value is
A=P(1+rt)=500(1+(0.04)(4))=$580.
Find the circumference r=14m
Answer:
There!!
Step-by-step explanation:
mark me brainliest!!
Answer:
88 m
Step-by-step explanation:
Given,
Radius ( r ) = 14
Formula : -
Circumference of circle = 2π4
Circumference of circle
= 2 x 22 / 7 x 14
= ( 2 x 22 x 14 ) / 7
[ 14 = 2 x 7 ]
= ( 2 x 22 x 2 x 7 ] / 7
= 2 x 22 x 2
= 88 m
Note : -
The value of π = 22 / 7.
16
Select the correct answer.
A rotating sprinkler head sprays water as far as 20 feet. The head is set to cover a central angle of 80 degrees. What area of grass will be watered?
A. 200/9 pi ft^2
B. 800/9 pi ft^2
C. 80/9 pi ft^2
D. 760/9 pi ft^2
Using the area of a circle, it is found that the area of the grass that will be watered is given by:
B. 800/9 pi ft^2
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex].
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by:
[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]
Which means that option B is correct.
More can be learned about the area of a circle at https://brainly.com/question/17326298
Answer:
B. 800/9 pi ft^2
Step-by-step explanation:
what is the sign of 46.2 + 112.3.
is it a positive or negative?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]
[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]
[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find AC. Please help fast
Answer:
Step-by-step explanation:
AB/ED = AC/DF
15/18 = AC/20
5/6 = AC/20
Cross multipy
6AC = 5*20 = 100
so
AC = 100/6 = 16.7
what is the probability and odd for 7/16
Answer:
What is the probability and odd for 7/16
There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.
Solve for N
8/10 = 4/N
N=
Answer:
N= 5
Step-by-step explanation:
Solve for N by cross multiplying
How do I solve this? , (Find measurement of angles)
Answer:
105°
Step-by-step explanation:
FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)
FEG+35°=140°
FEG=140-35
FEG= 105
(3x+3)what is the measure
Answer:
I don't think you provided the whole question...
Step-by-step explanation:
please answer this question
What are the zeros of the graph shown? (SELECT ALL THAT APPLY.)
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis
Enter the coordinates of the point
on the unit circle at the given angle.
240°
EXPLANATION:
To convert degrees to radians, multiply by π / 180 °
since a full circle is 360° or 2π radians.
240°⋅π / 180° radians
Cancel the common factor of 60
4 × π / 3 radians
Combine 4 and π / 3.
4π / 3 radians
HOPE ITS HELPS !!!!!
The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
The formula for calculating Radians is:
[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]
Formula for calculating coordinates of point (x, y) on circle:x=rcosθ
y=rsinθ (where r is the radius of circle for unit circle r=1)
According to the question
we have
θ = 240 degrees and, r =1
so, 240 degrees = 240×[tex]\frac{\pi }{180}[/tex]
⇒240 degrees = [tex]\frac{4\pi }{3}[/tex] (in radians)
Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as
[tex]x=(1)cos\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]x=\frac{-1}{2}[/tex]
And,
[tex]y=(1)sin\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]y=\frac{-\sqrt{3} }{2}[/tex]
Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
Learn more about coordinates of the point on circle here:
https://brainly.in/question/48723898
#SPJ2
HELLLPPPP
Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months
Answer:
$ 42.625 is the correct answer .Step-by-step explanation:
principal ( p ) = $3100
Rate ( R ) = 5.5 %
Time ( T ) = 3 months
( convert months into year)
= 3/12 year
Simple Interest ( I ) = ??
By using formula ,
simple Interest ( I) = PTR / 100
=$3100 × 5.5 % × 3/12 ÷ 100
= 3100 × 5.5 × 3 ÷ 100 × 12
= 51150 ÷ 1200
= 42.625
= $ 42.625
Thank you ☺️☺️☺️
Carlos has 2 pieces of buttered toast. He cuts the toast and shares it equally between his 3 friends. What fraction of a piece of toast does each friend receive?
Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast
Hope this helps! c:
please help will mark BRAINLIEST
Answer:
A.)
-2, -1, 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
mark me brainliest!!
prove that (Cosx-Cos³x)/Sinx=SinxCosx
Answer:
(Cosx-Cos³x)/Sinx=SinxCosx
Step-by-step explanation:
sin3x−cos3x
=sinxsin2x−cosxcos2x
=sinx(1−cos2x)−cosx(1−sin2x)
=sinx−sinxcos2x−cosx+cosxsin2x
=sinx−cosx+(sinx−cosx)sinxcosx
=(sinx−cosx)(1+sinxcosx
Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9
Answer:
[tex]\frac{x+6}{x-1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator
= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator
= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
make a number line and mark all the points that represent the following value of x, x<2 or x>-1 Please answer quickly
Answer: See attached image
Step-by-step explanation:
[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]
[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]
See attached merged number line below:
The first number line is of x < 2
The second number line is of interval x > -1
The third number line is the merge of the overlapping intervals
Answer:
its just what the question says
Step-by-step explanation:
2 1/8 x 2 3/5 simplified
Answer:
5 21/40
Step-by-step explanation:
easy maths