Answer:
6
Step-by-step explanation:
We can rewrite the expression as
(6^4) ^ (1/4)
We know that a^ b^c = a^ ( b*c)
6^4 ^ (1/4)
6 ^ ( 4*1/4)
6
Answer:
6
Step-by-step explanation:
[tex] \sqrt[4]{ {6}^{4} } [/tex]
The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer
[tex]6[/tex]
write an equation in slope intercept form for a line that has a slope of 3 and goes through (-2,4)
Answer:
y=3x+10
Step-by-step explanation:
if it passes (-2, 4) the next point will be (-1, 7) so (0, 10) will be y intercept.
40 points!!!!! for the question
What is the solution to the equation 3(x - 4) = 2(x - 6?
A. x=0
B. x= 1
C. there are infinitely many solutions.
D. There is no solution.
Brian chose D as the correct answer. How did he get that answer?
Answer:
X=0
Step-by-step explanation:
3x-12=2x-12
3x-2x= -12+12
x=0
Answer:
Brian thought that x 5 0 means that there is no solution
to the equation.
Step-by-step explanation:
Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00
Interest from first account is :
[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]
Interest form second account is :
[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]
So, total interest is :
[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]
Therefore, total interest is $77.877 .
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
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Please answer!! Screenshot attached
Answer:
there is a website where you can make triangles and that would get it 4 u
Step-by-step explanation:
A, O and B lie on a straight line segment where
A=24,B=40 C=31
i)AOB=
ii)ZOB=
iii)XOY=
iv)AOY=
v)YOZ=
Answer:
Step-by-step explanation:
AOB=180°
ZOB =c=31°
XOY=b= 40°
AOY= a+b =24+40 = 64°
YOZ =180-a-b -c=180-24-40-31=85°
Hope this helpsxx
which expression represents five times the sum of a number n and 12
Answer:
5n + 60
Step-by-step explanation:
5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60
HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?
Answer:
1/2
Step-by-step explanation:
4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2
Calcula la longitud en YARDAS de
un trayecto A que mide 100 metros
y la longitud en
YARDAS de un trayecto B que mide 18.50
Answer:
Las longitudes solicitadas en yardas son:
Trayecto A = 109.361 yardas.Trayecto B = 20.231785 yardas.Step-by-step explanation:
Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:
1 metro = 1.09361 yardasCon ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:
Si:
1 metro = 1.09361 yardas100 metros = XEntonces:
[tex]x=\frac{100m *1.09361yardas}{1m}[/tex]Cancelamos metros y obtenemos:
x = 100 * 1.09361 yardasx = 109.361 yardasEn este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:
Si:
1 metro = 1.09361 yardas18.50 metros = XEntonces:
[tex]x = \frac{18.50m*1.09361yardas}{1m}[/tex]Cuando se cancelan los metros se obtiene:
x = 18.50 * 1.09361 yardasx = 20.231785 yardasAsí, el trayecto B en yardas corresponde a 20.231785 yardas.
4 cm
5 cm
5 cm
5 cm
5 cm
What is the total surface area
Answer:
24 cm
Step-by-step explanation:
Missing numbers on the number line
The blue dot is at what value on the number line?
+
+
7
+
7
9
Delatedcantant
Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3
Step-by-step explanation:
someone help. find the value of a and b
whoever solves this with explanation gets brainliest
dont scam
The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.
Answer:
"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)
Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.
There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.
Step-by-step explanation:
32) Convert this fraction to a decimal number: 4/10
Answer:
40%
Step-by-step explanation:
I need help please. Only answer if you know
Answer:
57
Step-by-step explanation:
first do what is in the brackets then the parentheses, then multiply the 3
Answer:57
Step-by-step explanation:
Make x the subject of the formula 4 a + x = 3 b
Answer:
x = 3b - 4a
Step-by-step explanation:
Given
4a + x = 3b ( isolate x on the left side by subtracting 4a from both sides )
x = 3b - 4a
Which table represents a direct variation function?
Answer:
(A) First table
___________
Input: 6, 9, 12
Output: 8, 12, 16
Step-by-step explanation:
To determine whether or not a function is a direct variation, x and y must divide evenly and have a constant factor or factor that stays the same.
B and C don't divide evenly so those are already wrong, and D is wrong because x and y do not divide by the same factor every time.
What is Thuy’s error?
Thuy should have written the ratio as StartFraction 30 inches over 3 inches EndFraction.
Thuy should have written the ratio as StartFraction 30 inches over 39 inches EndFraction.
Thuy should have divided both numbers by 6.
Thuy should have divided both numbers by 13.
Answer:
number b
Step-by-step explanation:
thuy should have written the ratio as 30/39
Helppp me faststttttt plzzzzz
what percent of 12 is 40?
A. 0.25%
B. 4%
C. 25%
D. 40%
E. 400%
Answer:
25%
Step-by-step explanation:
If you would like to know what percent of 48 is 12, you can calculate this using the following steps:
x% of 48 is 12
x% * 48 = 12
x/100 * 48 = 12 /*100/48
x = 12 * 100 / 48
x = 25%
The correct result would be C. 25%.
I need help with this. If you answer it i will give you points!
Find EF and FD on number line
D = -6.1, E = 9, F = 17.7
SHOW YOUR WORK PLEASE!
Answer:
EF: on the same side of origin 17.7 - 9 = 8.7
FD: on the opposite of 0 17.7 + 6.1 = 23.7
Step-by-step explanation:
D = -6.1, E = 9, F = 17.7
EF: on the same side of origin 17.7 - 9 = 8.7
FD: on the opposite of 0 17.7 + 6.1 = 23.7
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
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a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...
Given the position function s(t), you can get the acceleration function by differentiating s twice:
velocity = s'(t) = -5 sin(t ) + 3 cos(3t )
acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )
Then when t = π, the particle's acceleration is
s''(π) = -5 cos(π) - 9 sin(3π)
… = -5 • (-1) - 9 • 0 = 5
Combine like terms: 34z-7+15z
Answer:
49z - 7
Step-by-step explanation:
like term are having same variable and power.
By these explanation 34z+15z are added and -7 is keep as it is
Help! please I'm not sure what it is please i really need help for my final
Answer:A= 1,2 B=1,2 C=-9,10
Step-by-step explanation:
For A=
To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)
For B=
translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)
For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)
(3 -1) y=1/3x-3 write an equation of the line that passes through the given point and is parallel to the given line
Answer:
[tex]y = 1/3x-2[/tex]
Step-by-step explanation:
General line equation:
[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
Or
[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]
where a is the slope and b is vertical displacement.
For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.
By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,
[tex]y = 1/3x - 2[/tex]
WILL GIVE BRAINLEST and points PLZ ANSWER ASAP
On a coordinate grid, point P is at (5, 2) and point R is at (−3, −4). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (5 points) a Q(−5, 2), S(3, −4) b Q(−5, −2), S(3, 4) c Q(5, −2), S(−3, 4) d Q(−5, 2), S(−3, 4)
Answer:
The correct option is;
c. Q(5, -2), S(-3, 4)
Step-by-step explanation:
In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign
Therefore, we have
The coordinate of the preimage before the reflection across the x-axis = (x, y)
The coordinate of the image after the reflection across the x-axis = (x, -y)
Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)
Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).
The correct option is therefore, Q(5, -2), S(-3, 4).
−(−2 − n) please help
Answer:2+n
Step-by-step explanation:
1. distribute parentheses
=-(-2)-(-n)
2.apply minus-plus rules
=2+n
Last year there were m members in a photography club. This year the number of
members has increased by 10%. The expression m + 0.1m represents the number of
members in the club this year. What is this expression written in simplest form?
Answer:
m + 10/100(m)
Step-by-step explanation:
Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.So m represents the number of members in the club last year.
A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m
Hence the number of members in the club this year = m + 0.1m
Factor each polynomial: 9x-6
Answer:
3(3x−2)
Step-by-step explanation: