Answer:
Step-by-step explanation:
[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
In exponent division , if bases are same, then find the difference of the exponents
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
the answer to the question is d (8,85)
Answer: D since the equation would be y=10x
Step-by-step explanation:
.Divide the sum of 13/5 and -12/7 by the product of -31/7 and -(1/2)
Answer:
hello u so cool i admire you <3
Simplify -62 ÷ 12 - 2(-7).
Answer:
53/6 = 8.83
Step-by-step explanation:
2 x -7 = -14
-62 / 12 = -5.16667
-5.16667 - (-14) = 8.83333
Final answer: 8.83
I hope this helps you! :D
Answer:
use pamdas
Step-by-step explanation:
the answer I got using pemdas was 8.83
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
x= -1/8 ,y= -2/5 ,z= 10/12 find the answer if x*( y* z ) = ( x* y ) * z
Answer:
a. x × (y + z) = -13/240
c. x × (y × z) = 1/24
Step-by-step explanation:
The given values of the variables are;
[tex]x = \dfrac{-1}{8} , y = \dfrac{-2}{5} \ and \ z = \dfrac{10}{12}[/tex]
a. x × (y + z) = (x × y) + (x × z), by distributive property
Plugging in the values gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right)[/tex]
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \dfrac{-1}{8} \times \left (\dfrac{13}{30} \right) = \dfrac{-13}{240}[/tex]
[tex]\left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{1}{20} + \dfrac{-5}{48} = \dfrac{-13}{240}[/tex]
Therefore;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} + \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) + \left ( \dfrac{-1}{8} \times \dfrac{10}{12} \right) = \dfrac{-13}{240}[/tex]
c. x × (y × z) = (x × y) × z
Plugging in the values for 'x', 'y', and 'z' gives;
[tex]\dfrac{-1}{8} \times \left (\dfrac{-2}{5} \times \dfrac{10}{12} \right) = \left ( \dfrac{-1}{8} \times\dfrac{-2}{5} \right) \times \left ( \dfrac{10}{12} \right) = \dfrac{1}{24}[/tex]
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
9x4 + 24x3 - 27x2 + 12x
Answer:
3x(3x³ + 8x² – 9x + 4)
Step-by-step explanation:
9x4 + 24x3 - 27x2 + 12x =
9x⁴ + 24x³ – 27x² + 12x =
3(3x⁴ + 24x³ – 27x² + 12x) =
3x(3x³ + 24x² – 27x + 12).
3x³ + 24x² – 27x + 12 cannot be factored
[rational numbers].
What is the total area of the garden?
Which is an equation of a circle with center (2,7) and radius 4?
(x - 2)2 + (y - 7)2 = 4
Part
(x - 7)2 + (y - 2)2 = 16
5. Part
(x + 2)2 + (y + 7)2 = 4
d
(x - 2)2 + (y - 7)2 = 16
Answer:
16 = (x-2)² + (y-7)²Step-by-step explanation:
see image
Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
Answer:
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
. 5r283A
Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?
Answer:
$-6
Step-by-step explanation:
Spend
$36 on t-shirt
$20 hot dog
$50 shoes
Ramos money- $100
$36+$20+$50=$106
$100-$106=$-6
***Don't forget units***
Hope this was useful :)
The graph below shows four sections: A, B, C, and D.
Which section of the graph represents the solution set of the system of inequalities below?
PLEASE HELP ASAP
the graphs below have the same shape. what is the equation of the red graph?
Answer:
D
Step-by-step explanation:
I checked it on desmos and also the shift is 1 up that means subtracting from a larger number
Answer: d
Step-by-step explanation:
The relative frequency table below summarizes a survey about support for candidate X in an upcoming
national election. In this survey, 210 randomly selected Virginians opposed candidate X.
How many people in this survey were Californians who opposed candidate X?
Does the table show evidence of an association between being from Virginia and opposing candidate X?
Choose all answers that apply:
Answer:
D.
Step-by-step explanation:
a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.
c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.
The answer is D.
Step-by-step explanation:
Answer:
How many people in the survey were Californians?
- 250
Yes, because 50% of Californians support candidate X, but only 40% of all people support him.
Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.
passes through (-2, 1) and (2, -5)
Answer:
The equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So
Change in y: -5 - 1 = -6
Change in x: 2 - (-2) = 2 + 4 = 4
Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + b[/tex]
Passes through (-2, 1)
This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So
[tex]y = -\frac{3}{2}x + b[/tex]
[tex]1 = -\frac{3}{2}(-2) + b[/tex]
[tex]1 = 3 + b[/tex]
[tex]b = -2[/tex]
So, the equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.
Answer:
{-2, -1 , 3}
Step-by-step explanation:
When we have a set like:
{x₁, x₂, x₃}
The mode is the value that appears the most, so if there is no mode, then each value appears just one time.
The median is the middle value, here we know that the median is -1, then we can rewrite the set as:
{x₁, -1 , x₃}
The mean is computed as:
Mean = (x₁ + x₂ + x₃)/3
in this case we know that the mean is 0, then:
0 = (x₁ + x₂ + x₃)/3
then the numerator must be zero, so:
0 = (x₁ + x₂ + x₃)
replacing the value of x₂ = -1 we get:
0 = (x₁ - 1 + x₃)
where:
-5 < x₁ < -1 < x₃ ≤ 3
Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.
here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).
then:
0 = x₁ - 1 + 3
Now we can solve this for x₁
0 = x₁ + 2
-2 = x₁
Then the set is:
{-2, -1 , 3}
44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8
may I please have help from anyone thank you so much !
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
Identify the word form of this number: 316,758
Answer:
it is Three hundred and sixteen thousand,seven hundred and fifty eight.
Hey there!
316,758
3 is in the HUNDRED THOUSANDS place
1 is in the TEN THOUSANDS place
6 is in the THOUSANDS place
7 is in the HUNDREDS place
5 is in the TENS place
8 is in the ONES place
Expanded form
300,000 + 10,000 + 6,000 + 700 + 50 + 8
Answer:
Three hundred sixteen thousand seven hundred fifty-eight
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
624,612 rounded to the nearest hundred is
Answer:
624,600
Step-by-step explanation:
624,612
612 rounds to 600
624,600
Answer:
624,600
Step by step explanatiom:
cause math
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answer:
D = 3
Step-by-step explanation:
edge 2022
which sum or difference is modeled by the algebraic tiles?
Answer:
C
Step-by-step explanation:
Answer the question.
Answer:
$19.53
Step-by-step explanation:
$20 - 0.1(20) = 20 - 2 = 18
18 + 0.085(18) = 18 + 1.53 = 19.53
-2 1/3 - (-5) = []
A. 2 2/3
B. 3 1/3
C. 3 2/3
D. -7 1/3
Answer:
[tex]2 \ \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5)
\\ = \frac{8}{3} \\ =2 \ \frac{2}{3} [/tex]
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?
8 students out of 27
the total of students is 27 out of the 27 students 19 dont play and instrument and a sport
Find (-4) for f(x) = 9(3)^x
A. -108
B. 1/3
C. -729
D. 1/9
Answer:
D
Step-by-step explanation:
9(3)^-4
3^2 × (3^-4)
in algebraic expression a^n × a^m = a^n+m
3^2+(-4)
3^-2
but 3^-2 = 1/3²
1/3²= 1/9
The option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}[/tex]
Hence, the option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
PLZ HURRY will give BRAIN-LY-EST and 20 points if correct
Answer:
[tex]{ \boxed{ \tt{4x + 4x \: → \: 8x}}} \\ \\ { \boxed{ \tt{3x + 5x + 8 \:→ \: 8x + 8 }}} \\ \\ { \boxed{ \tt{ - 7x + 4 + 3x \: → \: - 4x + 4}}} \\ \\ { \boxed{ \tt{4x + 4x + 4x + 4x \: → \: 16x}}}[/tex]
Answer:
4x + 4x → 8x
3x + 5x + 8 → 8x + 8
-7x + 4 + 3x → -4x + 4
4x + 4x + 4x + 4x → 16x
Step-by-step explanation:
The left side consists of a series of expressions and the right side is the list of choices to match to. This is simple math if you already know how to combine like terms. Combining like terms is combining numbers that represent the same value. Take a look at 4x + 4x for example, 4x and 4x are two numbers with the same value. Not that they both have the number 4, but that they have the same special variable. If there are two or more numbers with the same variable like x for example, combine the two, meaning you add the numbers. Just don't add the variables because clearly, the variable is an unknown number so you can't add variables. Instead, you can apply the same variable to the sum of two or more numbers. So 4x + 4x equals 8x. Do the same process again to the other 3 expressions. Also, you can't add a number with a variable to a number alone. They don't represent the same value.
3x and 5x are the same value so combine them. Now you only have 8x + 8 left as the simplified version of the expression.
-7x and 3x are the same value so combine them. Don't forget that the 7 is negative. Use a calculator if needed. Now you only have -4x + 4 as the simplified version of the expression.
Similar to 4x + 4x in the first expression, just add all of the numbers up. There isn't a number alone in this expression. 16x should be your final answer.
I hope this helps! Let me know if I am wrong. :D
if U= {1,2,3,4,5,6}, A ={1,2,3,}
B={2,3,5},and C ={4,5,6}
find (AUB)'n c
======================================================
Explanation:
A = {1,2,3}
B = {2,3,5}
A u B = {1,2,3,5}
The set A u B consists of anything in either set A or set B. This is a set union.
The complement of this is the complete opposite. So we only consider the items 4 & 6
(A u B)' = {4,6}
Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'
The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets
Therefore, (A u B)' n C = {4, 6}
The n refers to the intersection symbol.
Please help i'm struggling with this!It's urgent!
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
