Answer:
b = 3√37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Define
a = b
b = 14
c = 23
Step 2: Find b
Substitute [PT]: b² + 14² = 23²Isolate b term: b² = 23² - 14²Exponents: b² = 529 - 196Subtract: b² = 333Isolate b: b = 3√37Answer:
b=3root37
Step-by-step explanation:
Work out 5/7
of 100.
Give your answer correct to the nearest whole number.
Answer: 71
Step-by-step explanation: 100x (5\7) = 71.4
Answer:
71.5
Step-by-step explanation:
5/7 of 100=(5×100)÷7=500÷7=71.5
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.
if i run 160 meters 20 times in 2 hours how fast am i going
Answer:
1700 meters / hour
Step-by-step explanation:
160x20 = 3200
3200/ 2 = 1700
Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only
Answer:
Rick sells each guitar for 90$
Given the equation in point slope form y-5=1/2(x+1)
Answer:
The slope of this equation is 11/2. The point is (1/2, 0)
Step-by-step explanation:
I hope this is the right answer, good luck!
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answer: B.12 years
Step-by-step explanation:
please help asap!!!!!
Answer:
angle RQS
Step-by-step explanation:
From the figure and statement provided, select the proper TO PROVE Statement.
If two parallel planes are cut by a third plane, the lines of intersection are parallel.
MN= 1AB
AB- BC= AC
M is parallel to
AB= BC
a is parallel to B
Answer: a is equal to b
Step-by-step explanation:
Answer:
a is parallel to b
Step-by-step explanation:
X= What does ×= 88, 89 or 90
Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}
Answer:
0
6
Step-by-step explanation:
<3
The ranges are:
f(x): {y | y ≤ infinity}
g(x): {y | y ≤ infinity}
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.
Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.
Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.
The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:
f(x): {y | y ≤ infinity}
For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.
The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.
Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:
g(x): {y | y ≤ infinity}
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-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
Please help me with this question
Answer:
11/4
29/6
32/5
Step-by-step explanation:
Answer: 11/4, 29/6, 32/5
Step-by-step explanation:
This is going to help trust me
What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2?
Answer:
Step-by-step explanation:
use the point-slope formula [y-y1 =m(x-x1) ] with the given info
for the point P=(x1,y1) =(2,-2) and the slople m = -1/2
plug those into the formula
y-(-2)= -1/2(x-2)
y+2= -1/2x + 1
y= -1/2x+1 - 2
y = -1/2x - 1
:) got it?
these are hard untill you get the idea of the two formulas
point-slope: y-y1 = m(x-x1) and
slope-intercept: y= mx+b
memorizing those will help a lot
What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?
Answer:
20,since each kilo of rice fills two bags so he i'll have 40 bags.
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
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3x3z−6z for z=5 solve pllllsslssss
I don’t know this someone help
Answer:
yes what that guy said is right
PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?
Answer:
3 divided 5
Step-by-step explanation:
Edgar will get 3/5 or 0.6 part of pumpkin bread.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Total numbers of people in Edgar's family = 5
Total number of pumpkin bread = 3
Since, 3 bread are divided equally among 5 people,
implies that, bread will divide in the same ratio,
5 people = 3 bread
1 people= 3/5 bread
1 people= 0.6 part of bread
So Edgar will get 3/5 or 0.6 part of bread.
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Rita is hiking along a trail that is 14.8 miles long. So far she has hiked along one-tenth of the trail.
How far has Rita hiked?
Answer:
1.48 miles
Step-by-step explanation:
If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.
14.8 * 1/10 = 1.48 miles.
Answer:
1.48
Step-by-step explanation:
I know the answer is correct
a line has slope -3 and the y intercept is 7. what is the slope intercept form of the line?
Answer:
y = -3x + 7
Step-by-step explanation:
[tex]y = mx + b[/tex]
m = slope
b = y intercept
eq:
[tex]y = - 3x + 7[/tex]
SOMEONE PLEASE PLEASE HELP ME ON THIS!!
X=22
14 plus 8 gives you x
[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:
35
Step-by-step explanation:
Given the coordinates, determine whether PQR & XYZ are congruent
P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)
PQ=
XY=
QR=
YZ=
PR=
XZ=
Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.
Answer:
you're scale is 1.6666667
Step-by-step explanation:
because if you do 30 decided by 18 it gives u 1.6666667
Simplify:1/5 + (-2/3)?
Answer:
SOOOOOO
Step-by-step explanation:
YOU MAKE IT 1/5 + -2/3
INTOOO
3/15+-10/15
THENNNN
YOU ADD THEMMM
AND UU GETTTT
-7/15
SOOO THAT UR ANSWER ITSS A THE FIRST ONE
-7/15
How can you rewrite -8 -− 10 as an addition problem?
A:-8- -10
B -8+10
C-8+18
D-8+ -18
Answer:
B. -8+10
Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .
Hope it helps :)
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answer:
4, 7 ,2
Step-by-step explanation: