Simplify the ratio.
49 to 77
Answer:
7/11 as a fraction if your talking about a fraction
Andre was trying to write 7⁴/7⁻³ with a single exponent and wrote 7⁴/7⁻³=7⁴⁻³. Explain to Andre what his mistake was.
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex], then
[tex]\frac{7^{4} }{7^{-3} }[/tex] = [tex]7^{4-(-3)}[/tex]
His mistake was in subtracting 3 rather than - 3
Andre's mistake was that he was not subtracting the power correctly.
The given expression is,
[tex]\frac{7^4}{7^{-3}}[/tex]
As we know according to the exponent law:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
Now, applying the above law into the given expression we get,
[tex]\frac{7^4}{7^{-3}}=7^{4-(-3)}\\ =7^{4+3}\\=7^7[/tex]
Hence, Andre's mistake was that he was not subtracting the power correctly.
Learn More about the topic Exponents:
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Absolute value equations
10 6v + 3 = 30
Pls answer question asap
Answer:
the answer is its either 1/15 or 5/3=1 2/3
Step-by-step explanation:
WILLING TO GIVE BRAINIEST PLS HELP
Answer:
the first one is 2.3
Step-by-step explanation:
How do I solve this?
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
find the distance between each pair of points. Round to the nearest tenth.
Answer:
The answer is
6.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
M ( 4 , 0) and L ( - 2 , - 3)
The distance between them is
[tex] |ML| = \sqrt{( {4 + 2})^{2} +( {0 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {3}^{2} } \\ = \sqrt{36 + 9} \: \: \\ = \sqrt{45 } \: \: \: \: \: \: \: \: \: \: \\ = 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 6.7082039[/tex]
We have the final answer as
6.7 units to the nearest tenthHope this helps you
Use the drop down menus to indetify the roots in these english words retainer inductive convivial typography
Answer:
tain, duc, viv, graph
Step-by-step explanation:
Answer:
tain, duc, viv, graph Also as 3, 3, 2, 3
Step-by-step explanation:
Biometric measures evaluate: Question 17 options: data about a person's heartbeat, perspiration levels, respiration, and body movements. data about a person's attitudinal changes. changes in sales after exposure to an emotional advertisement. increases in verbal responses to questions posed in focus groups.
Answer:
data about a person's heartbeat, perspiration levels, respiration, and body movements.
Step-by-step explanation:
the answer to the question is that
biometric measures are useful for evaluating data like that of heartbeat, perspiration levels, respiration, body movements of a person.
Biometrics is useful for the evaluation of the physical characteristics of a person. such a measure is for authentication and security identification. the system gives allowance for certain features of a person to be recognized using biometric data and also algorithm.
Find the slope of the line containing
the points (5,-4) and (-3,- 6).
PLEASEEE HELP
Answer:
Step-by-step explanation:
I need help too
is x=-4 an infinite solution?
Answer:
no, that is not an infinite solution
Step-by-step explanation:
an infinite solution is where a number equals a number and where x gets crossed out. the answer listed here is a solution :)
What is the value of the digit 0? 9.206
Answer:
There Is No Value For The Digit 0
Step-by-step explanation:
A total of 376 hats were sold for the school play. They were either big hats or small hats. The number of small hats was sold three times the number of big hats. How many big hats was sold?
Answer:
Hi there!
Your answer is;
There were 94 big hats and 282 small hats sold!
Step-by-step explanation:
Big hats= b
Small hats= 3b
3b+ b = 376
4b = 376
/4
b= 94
3(94) = 282
Double check!
94+282= 376
The length to nearest fourth inch
Answer:
3 1/2 inches
(-17) - (-1) =
I’m in 6 grade
Find the derivative r '(t) of the vector function r(t). t sin 6t , t2, t cos 7t Part 1 of 4 The derivative of a vector function is obtained by differentiating each of its components. Thus, if r(t) = f(t), g(t), h(t) , where f, g, and h are differentiable functions, then r'(t) = f '(t), g'(t), h'(t) . For r(t) = t sin 6t, t2, t cos 7t , we have f(t) = t sin 6t, which is a product. Using the Product Rule and the Chain Rule, we have
Answer:
[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]
Step-by-step explanation:
We need to find the derivative [tex]r'(t)[/tex] of the vector function :
[tex]r(t)=(tsin(6t),t^{2},tcos(7t))[/tex]
In order to find [tex]r'(t)[/tex], we are going to differentiate each of its components ⇒
We can write the following ⇒
[tex]r(t)=(f(t),g(t),h(t))=(tsin(6t),t^{2},tcos(7t))[/tex] ⇒
[tex]f(t)=tsin(6t)\\g(t)=t^{2}\\h(t)=tcos(7t)[/tex]
Let's differentiate each function to obtain [tex]r'(t)[/tex] :
[tex]f(t)=tsin(6t)[/tex] ⇒ [tex]f'(t)=1.sin(6t)+t.cos(6t).6=sin(6t)+6tcos(6t)[/tex] ⇒
[tex]f'(t)=sin(6t)+6tcos(6t)[/tex]
Now with [tex]g(t)[/tex] :
[tex]g(t)=t^{2}[/tex] ⇒
[tex]g'(t)=2t[/tex]
With [tex]h(t)[/tex] :
[tex]h(t)=tcos(7t)[/tex] ⇒ [tex]h'(t)=1.cos(7t)+t[-sin(7t)].7[/tex] ⇒
[tex]h'(t)=cos(7t)-7tsin(7t)[/tex]
Finally we need to complete [tex]r'(t)=(f'(t),g'(t),h'(t))[/tex] with its components :
[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]
2(3x+8)=4 I need to show work help quick please!
Answer:
x=-2
Step-by-step explanation:
First, Distribute the 2 into the parenthesis.
2(3x+8)=4
6x+16=4
Simplify
6x+16=4
-16 -16
6x/6= -12/6
x= -2
Hope this helps!
Which answer shows 9 times 10 Superscript negative 5 written in standard form? –0.000009 –0.00009 0.0009 0.00009
Answer:
0.00009 is the answer.
Step-by-step explanation:
The decimal would be 9. if 9 was a decimal, since -6 is your exponent you would move 6 places to the left with left being negative and right being positive, therefore you would get 0.00009.
The required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
The given expression,
9 times 10 Superscript negative 5 = 9 × 10⁻⁵
= 9 / 10⁵
= 9 / 100000
= 0.00009
Thus, the required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.
Learn more about the number system here:
https://brainly.com/question/22046046
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PLEASE CAN SONEONE HELP ME ON THIS I WILL GIVE YOU 20 POINTS!!!
Answer:
basicly each side equals 2.25 thats the only possible way i see it but im kinda dumb
Step-by-step explanation:
6xy-8x2 what is the answer to this question
Answer:
2x(3y-4x)
Step-by-step explanation:
Answer:
16X-6XY
Step-by-step explanation:
8X2=16X -6XY
Which of the following expressions is equivalent to (-7)(-7)(-7)?
Answer:
-343
Step-by-step explanation:
(-7)(-7)=49
(49)(-7)= -343
Steven buys 24 bags of flour. Each bag holds 25 pounds of flour. How much flour did Steven buy?
Answer:
c
Step-by-step explanation:
Avas credit card balance is $64 if she makes a $25 payment then charges $79 find the balance of the card.
Answer:
$-118
Step-by-step explanation:
She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.
Simplify the expression: 2(4 + 6j)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2(4 + 6j)}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}[/tex]
[tex] \longrightarrow{ \sf{8 + 12j}}[/tex]
Hope I helped!
Best regards! :D
A jug has a maximum capacity of 4 liters. It's filled to 85% of its capacity, and then poured out at a rate of 25 mL/s. Which of the following
expressions models the volume remaining in the jug, in liters, after X seconds?
O 3,5 – 0.0252
O 4-0.025z
O 3400 – 252
O 4000 - 252
Find the sum of the infinite series, if it exists a1= 26,r=1/2
Given :
An infinite series :
[tex]a_1=26[/tex]
[tex]r=\dfrac{1}{2}[/tex]
To Find :
The sum of the infinite series .
Solution :
The sum of infinite series of G.P is given by :
[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]
Therefore , the sum of the infinite series is 52 .
Hence , this is the required solution .
The planners in the local department of transportation want to build a
highway with two rest stops between the towns. The rest stops will divide
the highway into three equal parts.
Where, on the coordinate plane, should the rest stops should be built?
Answer:
(-0.75, -3.25) and (4.125, -2.125)
Step-by-step explanation:
Let the town, Thayer = point A(-4, -4)
Town Purdy = point D(9, -1).
Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.
Distance of point B from A to D = ⅓ of AD.
Point C = the midpoint of point B and D.
First, using the formula for internal division, let's find the coordinates of point B:
Internal division to find the coordinates of point B is given as:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-4, -4) = (x_1, y_1) [/tex]
[tex] D(9, -1) = (x_2, y_2) [/tex]
[tex] m = 1, n = 3 [/tex]
Plug in the necessary values into the formula stated above to solve for x and y of point B:
[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]
[tex] x = \frac{9 - 12}{4} [/tex]
[tex] x = \frac{-3}{4} [/tex]
[tex] x = -\frac{-3}{4} = 0.75 [/tex]
[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]
[tex] y = \frac{-1 - 12}{1 + 3} [/tex]
[tex] y = \frac{-13}{4} [/tex]
[tex] y = -3.25 [/tex]
The coordinates of point B = (-0.75, -3.25)
Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.
Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]
[tex] D(9, -1) = (x_2, y_2) [/tex]
Thus:
[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]
[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]
[tex] C(4.125, -2.125) [/tex]
The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.
Find the value of the following expression. [(17 − 9) × (3 × 2)] ÷ 2 help!
Answer:
16
Step-by-step explanation:
(17-9)x (3x2) /3
(17-9) = 8
(3x2) = 6
(8)(6)/3
(8x6) = 48
48/3 = 16
16 is your answer
I need help , I don’t understand
Answer:
Mean- 5
Median- 6
Mode- 6
Step-by-step explanation:
1. Place the numbers in order from smallest to biggest.
0,2,3,4,5,6,6,6,7,8,8
Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.
Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.
Finding the mode- This one is easy. It's simply the number that repeats itself the most. In this case it would be 6 because it repeats itself 3 times.
Given f(x)=10(3−x)+6, what is the value of f(−1)?
35
37
26
46
Answer:
46
Step-by-step explanation:
[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]