Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answer:
-8y = 6
Step-by-step explanation:
-6x+4y = -8
6x -12y = 14
Add the equations
-6x+4y = -8
6x -12y = 14
--------------------
0x -8y = 6
Answer:
Negative 8 y = 6
Step-by-step explanation:
6x + 4y = - 8.... (1)
6x -12y = 14....... (2)
Adding (1) & (2)
- 6x + 4y = - 8
6x - 12y = 14
--------------------
0x -8y = 6
= - 8y = 6
Hope this helps!
Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?
Answer:
170$
Step-by-step explanation:
Examine the following gizmo problem and choose the best answer
Answer:
C. The answer is correct
Step-by-step Explanation:
One of the rules that applies when simplifying radical expressions, is that, only like radicals can be added together or subtracted from each other. In other words, the radicand, which is the number inside the "√" must be the same for two or more radicals to be added together or subtracted from each other.
In the expression given in the question, step 1 and step 2 are correct, as well as the final answer.
The final answer is correct because only like radicals can be added as 3√19 and 8√38 are unlike radicals. Their radicands, √19 and √38, are not the same, hence, the radicals do not need to be added.
The answer "3√19 + 8√38" is correct.
if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).
Answer:
A = 57,600 feet
Step-by-step explanation:
Area = length x width
A = 360 x 160
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]m-6(n+2)=-8\\6n+m=16[/tex]
Rearrange the second equation and substitute it into the first equation.
[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]
Now we can use our value of n, and substitute it into the second equation to solve for m.
[tex]6(1)+m=16\\6+m=16\\m=10[/tex]
Now we can divide our values.
[tex]\frac{n}{m}=\frac{1}{10}[/tex]
Which is equivalent to 4V91/2
Answer:
B.
Step-by-step explanation:
= [tex]\sqrt[4]{9} ^{x/2}[/tex]
= Since [tex]\sqrt[4]{} = 1/4[/tex]
= So, [tex]9^{1/4*x/2}[/tex]
= [tex]9^{\frac{x}{8}[/tex]
Answer:
option B
Step-by-step explanation:
[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]
True or false: the set of whole numbers is equal to the set of natural numbers
Answer:
False
Step-by-step explanation:
This statement is false.
The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}
We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}
Answer:
false
brainliest to me!
Step-by-step explanation:
0 is a whole number but not a natural number so its false!
In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?
Answer:
100 : 20 : 60 Making the total number of cookies 180
Step-by-step explanation:
Looking at the basic information given we know:
If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.
So, we have equations like this:
[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]
So, if we plug in 60 for butter cookies we will have something like this:
[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60
Solving:
[tex](5/3b) : (1/3b) : b[/tex]
[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]
Then add the amounts of together to get 180.
I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
gbhujiklbvnhjkml dxfcgvhj
Answer:
C. 2 1/2
Step-by-step explanation:
Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.
-4 - 6 1/2 = -10 1/2
-4 + 6 1/2 = 2 1/2
Looking at the answer choices, 2 1/2 can represent point Q.
i would appreciate if you do a step by step work pls !!
Answer:
A. 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cos 60° = y / 4[tex]\sqrt{3}[/tex]
cos 60° = 1/2
y = 2[tex]\sqrt{3}[/tex]
the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
Answer:
(1,1)
This is the answer
Expand and simplify ( √2 + 3)to the power of 2
Answer:
Step-by-step explanation:
[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]
hope this helps
YEAR 9 MATHS- SEQUENCES
Here are the first five terms of a linear sequence.
9 15 21 27 33 ...
Work out the nth term
Answer:
see below
Step-by-step explanation:
This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:
aₙ = 9 + (n - 1) * 6
aₙ = 9 + 6n - 6
aₙ 6n + 3
Which point is between points c and e
Answer:
the answer is D
Step-by-step explanation:
PLZ HELP 15 PTS
If [tex]A=\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]and [tex]AB=\left[\begin{array}{ccc}24\\-46\\-2\end{array}\right][/tex], what is the value of matrix B?
Answer:
C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]
Step-by-step explanation:
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540
Answer:
So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -
r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.
Brainliest?
This answer took a long time to write, so I hope you appreciate it.
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
If the measure of angle 1 is (3x-4)º and the measure of angle 2 is (4x+10), what is the measure of angle 2 in degrees?
HELP !!!!!!!!!!!!!!!!!!!! Plz !!!!!!
Answer:
Angle 2 measures 58°
Step-by-step explanation:
Sum of all three angles formed = 180
Because the sum of angles on a straight line is always 180
Angle 1 =3x-4
Angle 2 = 4x+10
Angle 3= 90° (given)
So,
90+3x-4+4x+10=180
(4x+3x)+(90+10-4)= 180
7x+96=180
Bring 96 to the other side, making it negative,
7x = 180-96 = 84
x = 12
Therefore angle 2
= 4x+10
= (4)(12)+10
=48+10
=58°
what kind of growth model (pattern) is showen in the table x 1, 2, 3, 4, 5 y 5, 25, 125 ,635 ,3,125
Answer:
x= AP, y= GP
Step-by-step explanation:
x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP
y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP
Answer:
x= AP, y= GP
Step-by-step explanation:
A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?
Answer:
1.54 million
Step-by-step explanation:
If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!
Answer:
the answer for this question is 1.54×10^6
Step-by-step explanation:
45%- Male
100%-45%=55%
55/100×(2.8×10^6)=1540000
=1.54×10^6
During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?
Answer:
26miles
Step-by-step explanation:
Let Nina's husband's (Ed) mileage = x miles
Nina = (x + 6) miles
Combined mileage = 46
Nina's miles + Ed's miles = 46
x + (x+6) = 46
x+x+6 = 46
2x +6 = 46
2x = 46-6
2x = 40
x = 40/2 = 20miles
Nina's husband covered 20miles
Nina covered = x+6 = 20+6 = 26miles
Nina walked 26miles
If 2x + y = 32 and 3x + 4y =68 find the value of x/y
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
Need help with this question plz
Answer:
28.26 inches
Step-by-step explanation:
The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26
Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $13 per hour. If he earned a total of $459.75 from both jobs, how much did the café pay Raymond per hour?
Answer: the correct answers is $14.50
Step-by-step explanation:
The amount that the cafe pays per hour will be $14.50 per hour.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The rate of the library = $13 per hour.
For 12.5 hours.
Earning from library = 13 x 12.5 = $162.5
Cafe pay per hour = x
For 20.5 hours.
Earning from cafe = 20.5x
Total earning = 162.5 + 20.5x
20.5x = 459.75 - 162.5
x = 14.5
Hence "The amount that the cafe pays per hour will be $14.50 per hour".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?
Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes
[tex]42 = \frac{367 + y}{10}[/tex]
Multiply both sides by 10
[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]
[tex]420 = 367 + y[/tex]
Subtract 367 from both sides
[tex]420 - 367= 367 -367 + y[/tex]
[tex]53 = y[/tex]
[tex]y = 53[/tex]
Hence, the number of sweets in the 10th bag is 53
The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]
Step 4 - Simplify the above expression.
[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]
So, the total number of sweets in the 10th bag is 53.
For more information, refer to the link given below:
https://brainly.com/question/521501
Write the equation of the line that contains the
points (4, -7) and (1,5).
Answer:
y=-4x+9
Step-by-step explanation:
y=-4x+9
m=y2-y1/x2-x1
m= 5-(-7)/1-4
m=12/-3=-4
y=-7 m=-4 x=4 find b
y=mx+b
-7=4*4 +b
b=-7+16 = 9
7. A box of facial tissue is 22 cm by 10.5 cm by 8 cm.
How much cardboard is on the outside surface?
(Pls!! show work)
Answer:
632.2 cm^2
Step-by-step explanation:
for this, you have to find the surface area:
area of side x 2: 22x10.5x2 = 46.2cm^2
area of top and bottom: 22 x 8 x 2 = 418 cm^2
area of front + back = 8 x 10.5 x 2 = 168 cm^2
sum = surface area = 632.2 cm^2
Please mark brainiest