[tex] {7}^{2( \frac{1}{2}) } \\ [/tex]
Cancel the common factor of 2.
[tex] {7}^{1} [/tex]
Evaluate the exponent[tex] \:= 7[/tex]
Volume of the pedestal box
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Answer:
its 112
Step-by-step explanation:
first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/1506955
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?
Answer:
√(4 - ( - 3))^2 + (2 - 1)^2
√(4 + 3)^2 + (2 - 1)^2
√49 + 1
√50
7.07 = 7.1 units
Which sentence is punctuated correctly? Finally Juno, and her satellite were able to return home to her family. Finally Juno and her satellite were able to return home to her family. Finally Juno and her satellite, were able to return home to her family. Finally, Juno and her satellite were able to return home to her family.
Answer:
Finally, Juno and her satellite were able to return home to her family.
Step-by-step explanation:
Answer:
Finally, Juno and her satellite were able to return home to her family
Step-by-step explanation:
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5
evaluate g(-2)+f(3)
Answer:
...
Step-by-step explanation:
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
In Manhattan, there are 15 CoffeeStops per 100,000 people Manhattan has approximately 1,602,000 people How many Coffee Stops are there?
Answer:
Given that 15coffee stops=100,000people
then: x= 1,602,000
100,000×x= 15×1,602,000
100,000x= 24,030,000
100,000x÷100,000= 24,030,000÷100,000
x= 240.3
so therefore there are 240.3 coffee stops if there are 1,602,000
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In Manhattan, there are 15 CoffeeStops per 100,000 people.
Then the number of coffee shops per person will be
⇒ 15 / 100,000
⇒ 1.5 × 10⁻⁴ coffee shops per person
Manhattan has approximately 1,602,000 people.
Then the number of coffee shops will be
⇒ 1,602,000 × 1.5 × 10⁻⁴
⇒240.3 or 241 coffee shops
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x
Answer:
X = 2.75 or 2 3/4 in fraction form
Step-by-step explanation:
We know that the variable X has to make both equations equal.
It is really just crossing out the options.
2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.
So the answer is 2.75
Hope this helps! :)
૮ ・ﻌ・ა
Pleaseeeeeeeeeee help me
Answer:
[tex]\huge\boxed{6x-7y=21}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept (0, b)
We have:
[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]
From answers:
[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]
[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]
[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]
[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]
Answer:
6x-7y=21
Step-by-step explanation: :)
What term best describes the graph of y=-15
Step-by-step explanation:
x,y = 0,-15
for another you have to draw Cartesian plane
Answer:
The answer is:- Zero slope
Step-by-step explanation:
Hope it helps you ✌️
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL
HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
[tex](x-6)^2=8[/tex]
Step-by-step explanation:
[tex]x^2-12x+32=4[/tex]
[tex]x^2-12x+32+4=4+4[/tex]
[tex]x^2-12x+36=8[/tex]
[tex](x-6)^2=8[/tex]
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
Which decimal is less than 0.12 and greater than 0.008?
Answer:
Too many examples.
You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.
Here are some examples between 0.12 and 0.008:
0.10.0650.580.07830.119PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE
Answer:
Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)
[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex] is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)
[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]
so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]
Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)
[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).
[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]
so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]
Simplify the expression
3+4·10 – 8
Answer:
35
Step-by-step explanation:
one word: PEMDAS. technically they are all a bunch of words but whatever...
P: parentheses
e: exponents
m: multiply
d: divide
a: add
s: subtract
first we multiply 4*10 since that's first on the list
4*10=40
we have
3+40-8
then we add
3+40
which is 43
then we subtract 8 from it as we have 43-8
which is in the end:
35
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval
Answer:
I would say B
Step-by-step explanation:
I'm sorry, I don't have an explanation
The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.
What is Standard score?It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.
It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.
Given that Mean = μ = 64.4 inches
Standard Deviation = σ = 2.3 inches
We have to find the standard score for players height;
So, Let x = 75% = 0.75
Therefore the formula for z-score is:
x - mean / S.D
0.75 = x - 71.5/2.3
x = 76.10
Rounding off to nearest hundredth
z-score = 76.1
Hence, The middle 75% of all NFL players have heights between in
(A) 68.9 inches to 76.1 inches.
Learn more about z-score at:
brainly.com/question/10940255
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what is the value of the 6 in 26,249?
Answer:
what is the value of the 6 in 26,249?
answer:321305
Step-by-step explanation:
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
work out the surface area of this solid prism
Answer:
5220
Step-by-step explanation:
1- 20x36/2 is 360
(360 x 2 is 720)
2. 25x50 is 1250
3. 29x50 is 1450
4. 36x50 is 1800
720+1250+1450+1800 is 5220
solve the equation 5-x=8
Answer:
x = -3
Step-by-step explanation:
1. 5 - x = 8
2. +x +x
3. 5 = x + 8
4. -8 -8
5. x = -3
find the mean of 90 100 100
Answer: 100
Step-by-step explanation:
[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]
plot (-7,0) on a graph
Answer:
To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point
Step-by-step explanation:
[tex] \: \: \: \: [/tex]
To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.hope it helpsFind the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.
Answer:
21
Step-by-step explanation:
The answer is 21 because for finding the area you have to multiply, 7 and 3.
Multiply 7 and 3 you get 21.
Hope this helps :)
Answer:
21
area is equal to length X height. 7 X 3 = 21
True or false is 6x10^5 is 20 times as much as 3x10^4
answer
TRUE
HOPE IT WILL HELP YOU
can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)
When will Road to a killcam 100 come out?
Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.
Step-by-step explanation:
Answer:
The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.
However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.
A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.