Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
need this asap
Answer:
t = 8 1/2wStep-by-step explanation:
The hummingbird drank 8 times its weight in water:
8wThe hummingbird ate half its weight in food
1/2wRequired equation:
t = 8w + 1/2w ⇒ t = 8 1/2wAnswer:
t= 8w + 1/2w
Step-by-step explanation:
Which of the following shows the correct solution steps and solution to
7x – 4 = –18?
A.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
2
2
7
x
7
=
−
2
2
7
x
=
−
2
2
7
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−22
=
7
−22
=
7
−22
B.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
−
7
=
−
1
4
−
7
x
=
2
7x−4
7x−4+4
7x
−7
7x
x
=−18
=−18+4
=−14
=
−7
−14
=2
C.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−14
=
7
−14
=−2
D.
7
x
−
4
=
−
1
8
7
x
−
4
−
4
=
−
1
8
−
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4−4
7x
7
7x
x
=−18
=−18−4
=−14
=
7
−14
=−2
Answer:
Simplify 7\times -47×−4 to -28−28.
-28=-18
−28=−18
2 Since -28=-18−28=−18 is false, there is no solution.
No Solution
find the roots of the following equation by factorisation. x+1/x-1- x-1/x+1=5/6: X doesn't equal to 1,-1
Answer:
x= -1/5
hope this helps you
Answer:
x = - [tex]\frac{1}{5}[/tex], x = 5
Step-by-step explanation:
Given
[tex]\frac{x+1}{x-1}[/tex] - [tex]\frac{x-1}{x+1}[/tex] = [tex]\frac{5}{6}[/tex]
Multiply through by 6(x - 1)(x + 1) [ the LCM of the denominators ]
6(x + 1)² - 6(x - 1)² = 5(x - 1)(x + 1) ← expand factors and simplify
6(x² + 2x + 1) - 6(x² - 2x + 1) = 5(x² - 1)
6x² + 12x + 6 - 6x² + 12x - 6 = 5x² - 5
24x = 5x² - 5 ( subtract 24x from both sides )
0 = 5x² - 24x - 5 ← in standard form
0 = (x - 5)(5x + 1) ← in factored form
Equate each factor to zero and solve for x
5x + 1 = 0 ⇒ 5x = - 1 ⇒ x = - [tex]\frac{1}{5}[/tex]
x - 5 = 0 ⇒ x = 5
A 5 foot tall student casts a shadow that is 8 feet long. A 12.5 foot flag pole close by casts a shadow with an unknown length, s. What is the length of the flag pole’s shadow, s?
Answer:
15.5
Step-by-step explanation:
You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t^2 +12t. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball ?
Step-by-step explanation:
The height that your feet are above the ground is given by the function :
[tex]h(t) = -16t^2 +12t[/tex] ...(1)
We need to find the maximum height your feet will be above the ground.
For maximum height, put dh(t)/dt = 0
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]
Now put t = 0.375 s in equation (1) as follows :
[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]
So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.
Help pls I am in 4th and my sister is at school so she can't help pls I was sick when we learned this I need like a couple more and then I can do the rest :(
Answer:
3/20
Step-by-step explanation:
you multiply 1/4 and 2/5 to get the answer
i need help asap please!
Must be CD becuase the readious is what goes across
finish the table and write the equation
Answer:
29
Step-by-step explanation:
Each number has 4 in difference
Answer:
29
Step-by-step explanation:
25+4=29
Find the slope of the line passing through the points
(-3. 7) and (2. -6).
Answer:
( 3 , 7 )
Step-by-step explanation:
maybe this will help you
Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
Transform the following formulas as indicated.
A = bh, solve for h
a=1/2h (a+b), solve for b
consider the following equation x+4/x-6+3/2x+5=7 What are the constraints on x? Select all that apply.
True or False. Horizontal translations move a graph up and down.
Answer:
false
Step-by-step explanation:
horizontal is left and right
can you help with this?
Answer: 10/3 or 3 1/3
Step-by-step explanation:
Answer:2/15
Step-by-step explanation:
These algebraic expressions are not equivalent. Explain
why they are not equivalent.
1
x2
2
+ 8.x-x2 - 6x
222 - 2x
Answer:
in the 1st row, one x^2 is positive while the other is negitive, making the total zero. also in the top row 8x+(-6x) = 2x, but in the 2nd row is says -2x, showing they are not the same. Also there is no -1/2 in the 2nd row like there is in the 1st row
Step-by-step explanation:
please help!!!
i've tried to search to understand but they all look so similar
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentThe figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Which ordered pair represents y as a function of x?
A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
B. {(0, 1), (1, 3), (2, 5), (3, 7)}
B. {(0, 1), (1, 3), (2, 5), (3, 7)}
C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}
C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}
D. {(9, 5), (9, −5), (11, 7), (11, −7)}
Answer:
B
Step-by-step explanation:
Here, we want to select an option that represents y as a function of x
We simply want to select an option which is a function
Now, the answer in this case is one in which there are no repeating values of x and y
What this means is that all x values and all y values exactly have a single relationship between each of them
No y values has two x values and no x values links to 2 y-values
With this in mind, the correct answer is ;
option B
Solve for x. while you solve it can you show work pls
Answer:
Step-by-step explanation:
sin24° = 8/x multiply both sides by x
x*sin24° = 8x/x divide both sides by sin24°
x= 8/sin 24°
x ≈ 19. 69
How many pages are in a small photo book that costs $57?
Answer:
38 pages
Step-by-step explanation:
The cost per page is $1.50. So a book costing $57 would have 57 ÷ 1.50 = 38 pages
Answer:
online it said 38 pages so........:)
Step-by-step explanation:
What is the equation of the line that passes through the point (-2,-2) and has a
slope of 4?
plz help me, thank you
A bacteria culture starts with 40 bacteria and the number doubles every 20 mins.
write an equation of an exponential function that models the described situation.
plz show me the working.
Answer:
[tex]P=40(1.03526)^{t}[/tex]
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^{t}[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
[tex]2P_o=P_o(1+r)^{20}[/tex]
Simplifying:
[tex](1+r)^{20}=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt[20]{2}[/tex]
[tex]1+r=1.03526[/tex]
The exponential function that models the situation is:
[tex]\mathbf{P=40(1.03526)^{t}}[/tex]
$15.50 is 30% of what amount of money?
Answer:
$51.67
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
What’s the answer ?? The triangle says 84 degrees
Answer:
x = 48°
Step-by-step explanation:
x + x + 84° = 180°
2x = 180° - 84°
2x = 96°
x = 96°/2
x = 48°
Answer:
84+2a=180
2a=180-84
= 96
2a=96/2
=48
So, each angles are 48 degrees.
If my answer is wrong, please inbox me! ≧ω≦
a. Harry started a new job where he earns the same amount every hour. Last week, he worked 9 hours and earned $108. Write the linear equation for this situation, where y represents the money earned, in dollars, and I represents the number of hours worked.
Answer:
I=12
Step-by-step explanation:
y=108
I=108/9
I=12
Answer:
y = 12lStep-by-step explanation:
This is the proportional relationship
Let the equation be:
y = rl, where y- money earned, l- number of hours, r- hourly rateWe have:
108 = 9rr = 108/9r = 12The required equation is:
y = 12lthe domain of y=log(9-x^2),xER, is
Step-by-step explanation:
log(z) is defined when z > 0.
For log(9 - x²) to be defined, we have 9 - x² > 0.
=> x² < 9, -3 < x < 3.
The domain of y = log(9 - x²) is (-3,3).
Help Please I need to finish my assignments still
Answer:
4.155
Step-by-step explanation:
4.53-0.375=4.155
Solve the equation.
y + 6 = –3y + 26
y = –8
y = –5
y = 5
y = 8
Answer:
y=5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
EDGE
5) A collection of nickels and dimes is retrieved from a soft drink
machine. There are five times as many nickels as dimes and the total
value of the coins is $27.75. Find the number of dimes and the number of
quarters.
What is 6 to the power of 7 divided by 6 to the power of 5, in index form?
Please help
What is the fraction in decimal form?
7/5
Enter your answer in the box.
Answer:
1.4
Step-by-step explanation:
Thanks plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss