Answer:
∞
Step-by-step explanation:
1. Simplify the expression
[tex]0^-4[/tex]
2. Simplify exponents and square roots
[tex]0^-4[/tex]
[tex]_{ \infty}[/tex]
Why learn this:
Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!Terms and topics:
Order of operationsA diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?
GIVEN ↷
h(t) = -16t² + vt + swhere,
h⤿ Height ⤏0
t ⤿ time⤏?
v⤿initial velocity⤏8ft/s
s⤿initial height⤏24ft
TO FIND ↷
The maximum heightTime taken to reach the maximum heightSOLUTION ↷
we know that,
-16t² + vt + s = h(t)-16t² + 8t + 24 = 0To factorise the equation, we'll divide the both side by 8 and multiply by -1
we get,
2t² -t -3 = 02t² +2t -3t -3 = 02t(t+1) -3(t+1) = 0(2t-3)(t +1) = 0so,
2t - 3 = 0
2t = 3
t = 3/2
t = 1.5 seconds
hence, the diver will take 1.5 seconds to reach the maximum height
Now , to find the maximum height ,
we'll insert the value of time taken in the given equation which is ↷
h(t) = -16t² + vt + sh(1.5) = -16(1.5)² + 8 x 1.5 + 24h(1.5) = -16 x 2.25 + 12 +24h(1.5) = -36 +12 +24h(1.5) = -36 +36h(1.5) = 0h = 0/ 1.5h = 0Hence , the maximum height the diver will reach in 1.5 seconds = 0
HELP PLS.
A textbook store sold a combined total of 370 math and chemistry textbooks in a week. The number of chemistry textbooks sold was 52 less than the number of math textbooks sold. How many textbooks of each type were sold?
NUMBER OF MATH TEXTBOOKS SOLD:
NUMBER OF CHEMISTRY BOOKS SOLD:
Answer:
number of math textbooks sold: 211
number of chemistry textbooks sold: 159
Step-by-step explanation:
let [tex]x[/tex] be the number of math textbooks sold
let [tex]y[/tex] be the number of chemistry textbooks sold
[tex]y=x-52[/tex]
[tex]y+52=x[/tex]
[tex]x+y=370[/tex]
[tex]y+52+y=370[/tex]
[tex]2y=318[/tex]
[tex]y=159[/tex]
[tex]x=159+52[/tex]
[tex]x=211[/tex]
2) Draw a model that shows 2 items being divided equally for 5 people,
How much will each person have?
Answer:
0.4
Step-by-step explanation:
I can't draw a model, but I will give you an equation!
Two items are going to be divided amongst five people:
2/5=0.4
Each person will get 0.4 OR 4/10 of the two items.
Here's a math problem you could use:
Henry and his 4 friends want to eat some chocolate, but there's only two bars, Henry suggests that they just split it equally. If everyone get's an equal share, how much did each get? Everyone got 0.4 of the two chocolate bars.
Each person will get 0.4 OR 4/10 of the two items.
A number, p, varies directly as q and partly inversely as q[tex]{}^{2} [/tex]. Given that p = 11 and q = 7 and p = 25.16 when q = 5, calculate the value of p when q = 7
Since it varies directly as q and partly inversely as q^2 it is represented has this below
p = aq + b/q^2
The constants of proportionality here are a and b
11 = 2a + b/4 ----- i x 5
25.16 = 5a + b/25 ------ ii x 2
Multiply equation i by 5 and equation ii by 2
55 = 10a + 5b/4 ----- iii
50.32 = 10a + 2b/25 ----- iv
Subtract equation iv from equation iii
b = 4
Put the value of b in equation iv
50.32 = 10a + 8/25
Multiply through by 25
1258 = 250a + 8
a = 5
p =5q + 4/q^2
Therefore using this equation put into the equation the value of q which is 7
p = 5(7) + 4/(7)^2
p = 35 +4/49
p = 35.082
hope this helped.
Please answer!! Will mark BRAINLIEST
Answer:
KJL=80⁰NJM=25⁰MJL=75⁰Step-by-step explanation:
(3x+5)+75+x=180⁰
3x+5+75+x=180
4x=180-80=100
x=100/4=25⁰
if 3 cubic centimeters fill the botton layer of a box and the box fits 6 layers what is the volume of the box
Total layers=6
Total volume:-
6(3)18cm^3Find the volume of the sphere (will mark brainiest)
Answer:
(1/6)π = 0.524
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} *\pi *r^{3}[/tex]
Volume of Sphere = [tex]\frac{4}{3} *\pi *0.5^{3}=\frac{1}{6} \pi[/tex]
Answer:
V = (1/6)π
Step-by-step explanation:
Use the sphere volume formula:
V = (4/3)(π)(r^3)
V = (4/3)(π)(1/2)^3
V = (4/3)(π)(1/8)
V = (4/24)π
V = (1/6)π
Find the interquartile range of the following data set.
3, 9, 12, 4, 6, 40, 25, 14, 10
What is distance between point X and point Y?
O 11
O 22
O 61
O 72
(the answer is 61)
Answer:
61
Step-by-step explanation:
Joaquin makes $900 a week. A raise of $36 a week represents what percent of his salary?
Answer:
4%
Step-by-step explanation:
1% of 900: 9
9 * 4 = 36
Alexander uses cupric chloride to etch circuit boards. He recorded the room temperature, in ^\circ\text{C} ∘ Cdegrees, start text, C, end text, and the etching rate, in \dfrac{\mu\text{m}}{\text{min}} min μm start fraction, mu, start text, m, end text, divided by, start text, m, i, n, end text, end fraction, of the cupric chloride. After plotting his results, Alexander noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the etching rate from the room temperature: \hat y = 2 +\dfrac{1}{5} x y ^ =2+ 5 1 xy, with, hat, on top, equals, 2, plus, start fraction, 1, divided by, 5, end fraction, x What is the residual if the room temperature was 25^\circ\text{C}25 ∘ C25, degrees, start text, C, end text and the cupric chloride had an etching rate of 5\dfrac{\mu\text{m}}{\text{min}}5 min μm 5, start fraction, mu, start text, m, end text, divided by, start text, m, i, n, end text, end fraction ?
The residual is the difference between the observed etching rate and the predicted etching rate
The residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]
How to determine the residualThe least squares regression equation for predicting the etching rate from the room temperature is given as:
[tex]\hat y = 2 +\dfrac{1}{5} x[/tex]
When the room temperature is 25 degrees Celsius, the regression equation becomes
[tex]\hat y = 2 +\dfrac{1}{5} *25[/tex]
Evaluate the product
[tex]\hat y = 2 +5[/tex]
Evaluate the sum
[tex]\hat y = 7[/tex] --- this represents the predicted etching rate
The residual is calculated as:
Residual = Observed - Predicted
From the question, the observed etching rate is [tex]5\dfrac{\mu\text{m}}{\text{min}}[/tex]
So, the residual equation becomes
[tex]r = 5\dfrac{\mu\text{m}}{\text{min}} - 7\dfrac{\mu\text{m}}{\text{min}}[/tex]
Evaluate the difference
[tex]r = - 2\dfrac{\mu\text{m}}{\text{min}}[/tex]
Hence, the residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]
Read more about residuals at:
https://brainly.com/question/2732316
? Divided by 2/3 = 3/4
Answer:
The answer is 1/2
Step-by-step explanation:
to find the answer you can multiply the to given fractions.
Hope that helps!
This year, The Lexington Times had 12,698 subscribers. That is 40% more than they had last year before the paper was bought out. How many subscribers did the paper have last year?
Answer:
They had 7,618.8 subscribers last year.
Let me know if this helped :)
Step-by-step explanation:
We need to find 40% of 12,698
To do that, we need to multiply 12,698 by the decimal form of 40%.
12,698*0.40=5,079.2
Then, we need to subtract 5,079.2 from the amount of subscribers we had this year.
12,698-5,079.2= 7,618.8
Plss Help me on this!!
#1
[tex]\\ \rm\rightarrowtail x+1=9[/tex]
[tex]\\ \rm\rightarrowtail x=9-1[/tex]
[tex]\\ \rm\rightarrowtail x=8[/tex]
#2
Put x=8[tex]\\ \rm\rightarrowtail 8+1=9[/tex]
Hence verified
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
[tex]x = 8[/tex]
Show that your solution is correct through checking.Put x = 8[tex]8 + 1 = 9[/tex]
[tex]9 = 9[/tex]
Hence, Verified!
Describe the slope of the line
Find the slope
What is 4/5+2/7? Please help!
Answer:
24/35
Step-by-step explanation:
Solve for x. Can you please help me?
Answer:
6√3
Step-by-step explanation:
Let's take the vertical side in the middle as y and the side on the left as z.
We have:
from the right triangle on the right:
9²+y²=x²
from the right triangle over the big triangle:
z²+x²=(9+3)²=12²
from the right triangle on the left:
3²+y²=z²
We can use substitution in our three equations to get x.
9²+y²=x²
z²+x²=12²
3²+y²=z²
First, solve for y² in terms of x². We want everything in terms of x so we can solve for it.
9²+y²=x²
subtract 9² from both sides
x²-81 = y²
plug that into the third equation
3²+(x²-81)=z²
x²-72=z²
z²+x²=144 (the second equation)
plug x²-72 for z²
x²-72+x² = 144
add 72 to both sides
2x² =216
divide both sides by 2 to isolate x²
x²=108
square root both sides to get x
x = √108 = 6√3
Rectangle WXYZ is dilated with center (0, 0) and scale factor 2. What are the final coordinates?
Remember to find the coordinates of the original rectangle in the grid and then multiply by scale factor.
Answer:
B W(2,-4),X(6,-4)Y(6-10),Z(2,-10)
Step-by-step explanation:
i think dont get ur hopes ^
Derek mixed 150 milliliters of red dye with 175 milliliters of blue dye to make some purple dye. He used 85 milliliters of the purple dye to tie-dye a white T-shirt. How much purple dye did Derek have in the end?please I really need help
Answer:
= 240ml purple dye
Step-by-step explanation:
150ml red dye + 175ml blue dye = 325ml purple dye
325ml - 85ml = 240ml purple dye
= 240ml purple dye
If 385 of the people are students, what
percentage of the people at the school
carnival are students?
Answer:
Please tell me the total of students?
Step-by-step explanation:
Answer:
70% of the people at the carnival are students.
Step-by-step explanation:
Since the total is 550:
To find the percentage, we need to divide the amount of students by the total:
385/550=0.7
Then multiply the quotient by 100 and you have the percentage!
0.7*100=70
Please help math questions
put number with answers please
Answer:
See below for answers
Step-by-step explanation:
Problem 1
[tex]\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}[/tex]
Therefore, the second option is correct.
Problem 2
[tex]cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)[/tex]
[tex]0=sinx\\\\x=\pi n\\\\x=0,\pi[/tex]
[tex]0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}[/tex]
Therefore, the solution set is [tex]x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}[/tex], making the second option correct.
Problem 3
[tex]2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0[/tex]
[tex]cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ[/tex]
[tex]2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ[/tex]
Therefore, the solution set is [tex]x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}[/tex], making the fourth option correct
a text book store sold a combined total of 411 psychology and math textbooks in a week. the number of math textbooks sold was 63 less than the number of psychology textbooks sold. how many textbooks of each typer were sold
HELLLPPPP PLEEEAAASE
what will happen to the measures central tendacy is the outliner is removed 4,5,5,6,7,8,17
When the central tendency is the outliner is removed , the mean will increase.
How does outliers affect the central tendency?Outliers are often used to measure central tendency and dispersion. They can give wrong impressions of a data set when a the set has more than one or one outliers.
An outlier is known to be the value that is said to be greater than or say less than most of the other values found in a data set.
see options below
A.They will not change.
B.The mode will change.
C.The mean will decrease.
D.The mean will increase.
Learn more about central tendency from
https://brainly.com/question/1288901
For which value of x is the
relation not a function?
{(3, 1), (x, 0),(9,5),(12, 6)}
A) 1. B)3
C) 8. D)6
Answer:
B
Step-by-step explanation:
One input must have one output.
If x were to be 3, then there would be two inputs for 3, and there should only be one.
Therefore, the answer is B.
Oscar wants to fill a box with sand. Each bag of sand has a volume of 36 inches cubed. The base
area of the box is 54 inches squared. The height of the box is 13 inches. What is the volume of
the box? Does he have enough sand? If not, how many more bags does he need?
What is the area of the box?
B * H = A
54 in² * 13 in = A
702 in³ = A
The area of the box is 702 in³
Does he have enough sand?
If not, how many more bags does he need?
I am not sure how many bags he does have, so I cannot answer these two questions. I can, however, tell you how many bags he will need.
702 in³ / 36 in³ = 19.5 bags
He most likely will not have half a bag, so he will need 20 bags in total.
Which equation has a solution of n = 4?
A, 6 + n = 24
B, 5n = 54
C, 12 - n = 16
D, 7n = 28
Answer:
D. 7n = 28
Step-by-step explanation:
Let's substitute 4 for n in each equation to check if it the resulting equation is correct:
[tex]6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}[/tex]
[tex]5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}[/tex]
[tex]12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}[/tex]
[tex]7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}[/tex]
Therefore the answer is D
Step-by-step explanation:
7n=28divide both side by 7n=28\7n=4The Schrader family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget?
Answer:
$4000 Is the Schrader family monthly budget
Step-by-step explanation:
Take $600 and DIVIDE it by .15 to get $4000
A prism is completely filled with 80 cubes that have an edge length of 1/2cm
What is the volume of the prism?
Enter your answer in the box.
The volume of the prism that is completely filled by 80 cubes of edge length 1/2 cm is 10 cm³.
What is a prism?To calculate the volume of the prism, we use the formula below.
Formula:
V = 80l³............. Equation 1Where:
V = Volume of the prisml = length of the cubeFrom the question,
Given:
l = 1/2 cmSubstitute these values into equation 1
V = 80(1/2)³V = 80(1/8)V = 10 cm³Hence, The volume of the prism is 10 cm³.
Learn more about prism here: https://brainly.com/question/23963432
I need help on this question for math
Answer:
y = -12
Step-by-step explanation:
any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line
Answer:
[tex]\displaystyle y = -12[/tex]
Step-by-step explanation:
If any quantity is set equivalent to y, then it is a horisontal line. In other wourds, it is considered a zero rate of change [slope].
I am joyous to assist you at any time.