Answer:
The answer is 54
Step-by-step explanation:
Let us evaluate the exponent first
(3/4)^3 = 27/64
so we have
27/64 divided by 1/128
= 27/64 * 128/1 = 27 * 128/64
= 27 * 2 = 54
Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determine whether the lines with the given slopes are parallel, perpendicular, or neither.
m1= 1/2 & m2= 0.5
Answer:
The given lines are parallel.
we already know that for parallel condition we apply;
m1=m2
1/2=0.5
0.5=0.5
Compute the difference when 16 ÷ 4 × 2 is subtracted from 16 × 4 ÷ 2.
Answer:
-14
explanation:
(16 ÷ 4 )x 2)-(16 x 4 )÷ 2)
so 16 ÷ 4 is 4.
4x2 is 8
16x4 is 32
32 ÷ 2 is 16
2-16
-14
so basically its 14
if i got it wrong it can be 24
Mallory records the number of hours she spends babysitting and the amounts of money she is paid. What is the constant rate of proportionality between the number of hours Mallory babysits and the amount of money she is paid, in dollars?
Please explain as well, I do not understand how I would find the answer.
Answer:
Mallory gets paid $20 for every 1 hour.
Step-by-step explanation:
You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20
ratio 1 hr./20 dollars
PLEASE SOLVE, IN A HURRY!!!
WILL NAME BRAINLIEST!!!!
Answer:
394 miles.
(its hard to explain but you need to spit 1356 and add 284 to one half)
Answer:
820
Step-by-step explanation:
Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:
x + x + 284 = 1356
2x + 284 = 1356
2x = 1072
x = 536
The we do 536 + 284 because the trip there was 284 miles longer, so that is 820
estimate 17320 nearest 10000
HELP PLEASE! WILL GIVE BRAINLESIT
Answer: Hypotheses ?
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v
plss help asapp!!!!! i need tou help im timed and please dont answer just for points!
AnswerB:
Step-by-step explanation:
it’s just B dude
Answer: Pretty sure its the third one, Brainliest is helpful
Step-by-step explanation:
PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?
Answer:
Step-by-step explanation:
jjjj
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answer:
Step-by-step explanation:
7
The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius in units where . What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units
Answer:
the height is 0.6367 so the surface area is 68.55
Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).
How to Find surface area of cylinder?You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.
Therefore,
The cylinder's surface area is 264 cm2 (approximately)
3 unit is the cylinder's radius.
The cylinder's height is 18 units
To locate:
Area of contact
Having said that,
Cylinder surface area = 2r(h + r)
replacing the necessary values,
Surface area is equal to
2 x 22 /7 x 3 × 3( Plus 4)
Surface area equals 264/7 (7)
Surface area equals 1848/7
264 cm2 is the surface area.
The cylinder's surface area is 264 cm2 (about).
To learn more about surface area, refer to:
https://brainly.com/question/27440983
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Which of the statements below translates the mathematical equation "4x + 5 = 21?
Step-by-step explanation:
4x + 5 = 21
4x+5-5=21-5
4x=16
Divide both side by 4 so that we can have the x
x=4
A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.
Answer: 12.5
Step-by-step explanation:1.50*5=7.5
7.5-70=62.5
62.5 divided by 5 = 12.5
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
A quarter of five less than a number is no more than a third of five more than the same number.
Which of the following inequalities fits the description above?
(1 point)
14(x−5)≤13(x+5)
14(5−x)≤13(5+x)
14×5−x≤13×5+x
x−14×5≤x+13×5
Answer:
I am pretty sure its a... im doing the same thing and i am kinda thinking its that.
Step-by-step explanation:
I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
Answer:
[tex]\frac{n^{2}}{2a}[/tex]
Step-by-step explanation:
Just split it up first [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}[/tex] Then 9 divided by 18 can be simplified into the fraction 1/2What can go into [tex]a[/tex] and [tex]a^2[/tex] ? a itself right, so if you divide a by a you get 1, if you divide [tex]a^2[/tex] by a you get aSame as the a fraction, if you divide [tex]n^3[/tex] by n you get [tex]n^2[/tex] [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}[/tex]Answer:
(n^2)/2a
Step-by-step explanation:
We'll take this in small steps. Don't worry and follow along if you wish :D
Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.
Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:
(1 + 3)/4
This equation has to be broken down like this:
1/4 + 3/4
And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:
(x + y)/x
Then, it would work the same way as the previous example:
x/x + y/x
And that would further simplify to (1 + y/x).
But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:
(3*4)/4
We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.
First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:
(9an^3)/(18a^2n)
We would be left with...
9/18
And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:
(1an^3)/(2a^2n)
Or (an^3)/(2a^2n)
If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!
Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!
(an^3)/(2a^2n)
You can cancel out the variable a^ in this equation. That would leave you with:
(n^3)/(2an)
Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D
We can also reduce using n. That will leave:
(n^2)/2a
And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.
Good luck and keep studying!
prove y=6x-24 and y=1/6x +4 are inverse functions
Answer:
Answered
Step-by-step explanation:
Answer:
well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6
Step-by-step explanation:
Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11
Answer:
B is the answer
Step-by-step explanation:
Mark me as the brainliest,thank you
#Carryonlearning
Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?
B(C)=2.69C+84.23
B(C)=1.99C+85.63
B(C)=1.79C+86.03
B(C)=1.07C+87.47
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 (÷3 on both sides)
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 (-3.58 on both sides)
G= 86.03 (simplify)
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
the answer is (C)=1.79C+86.03
Step-by-step explanation:
is there a different way we can do it?
NEED HELP ASAP PLS AND THANK YOU!!!!
Answer:
Step-by-step explanation:
Urgent urgent urgent urgent
You're urgent
What the equation of this graph in slope-intercept form?
Answer:
y= 3/5x + 3
Step-by-step explanation:
slope= 3/5
y intercept= 3
Answer: [tex]y=\frac{3}{5} x+3[/tex]
Step-by-step explanation:
To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).
[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]
Now that we know the slope, we can plug in any point to find the y-intercept.
[tex]3=\frac{3}{5} (0)+b[/tex] [multiply]
[tex]b=3[/tex]
Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].
What is the equation of the line?
How do you write 66% as a decimal?
Answer:
0.66
Hope this helps!
Answer:
0.66
Step-by-step explanation:
Move the decimal twice to the left whenever you try to convert a percent to a decimal
Simplify:
√5 ⋅ √12 ⋅ √50
O 10√30
O 10√10
O 7√30
O 7√10
Answer:
The answer is A 10squareroot of 30
Step-by-step explanation:
hope that helps you
4x-1-5-2x
Help!!!!!!!!!!
Answer:
4x-1-5-2x
2x-6
Step-by-step explanation:
Answer:
2x - 6
Step-by-step explanation: