Answer:
option 2. -1 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1/4x
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-5) = 1/4(-5)Multiply: f(-5) = -5/4Simplify: f(-5) = -1 1/41) A couple is expecting the birth of a baby boy. They will name the child by choosing a first name
and middle name from this list of their favorite boys' names: Jacob, Jonah, Joshua, Jeremy,
James, Joseph. The first name will be different from the middle name.
How many different two-part names are possible? (Example: Joseph Jeremy, Jeremy Joseph,
and Joshua James are three different, valid two-part names; Jacob Jacob is not a valid
possibility.)
a) 36
b) 12
c) 30
d) 11
Answer:
C. 30
Step-by-step explanation:
We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
n = total number of objects
r = number of objects selected
In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.
[tex]_6P_2=\frac{6!}{(6-2)!}=30[/tex]
Therefore, there are 30 possible two-part names.
Which of the following is equivalent to (16^3/2)^1/2
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know a^b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Rewriting 16 as 2^4
2^4^3/4
2^(4*3/4)
2^3
8
Algebra!! In the triangle to the below, the measure of ∠A equals the measure of ∠B. Find the value of x.
Answer:
x=21
Step-by-step explanation:
45=2x+3
Subtract 3 from both sides of the equation.
42=2x
Divide 2 from both sides of the equation.
21=x
Hope this helps!
Answer:
x=21°
Step-by-step explanation:
Angle A = Angle B
Angle A = 45°
2x+3 =45°
To work out what x is, you would have to do inverse operations.
45-3=42°
2x=42°
42÷2=21° (We divide by 2 because, in algebra, whenever a number is next to a letter, it means times, so then we have to do the opposite and divide).
So, x=21°
Hope this helps :)
Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs
Answer:
Mr Mohapi is selling cheaper chairs
Step-by-step explanation:
Find the cost per chair from both prices by dividing the total price by the number of chairs:
22500/500
= 45
9600/200
= 48
So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.
Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.
Mr Mohapi is selling cheaper chairs.
10-7+12 dived (2^3-6) hope you can answer
Answer:
The answer is 7.5
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make?
Answer:
Step-by-step explanation:
Someone please helppp
Answer:
Option B is the right answer.
Step-by-step explanation:
x ^2 -7x+12 = (x-4)(x-3)
so, if we put x=3 or 4 than it will be undefined. hope u understand.
can anyone please help me out?? 3rd time posting this question and I really need help!!!!
Please help y'all I'd greatllyyy appreciate itt!!!!!!!!!!! (no links)
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
A fair six-sided die is rolled 66 times. Theoretically, about how many times should a roll of "6 occur?
Answer:
11
Step-by-step explanation:
On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.
Since the die is being rolled 66 times, we have the following proportion:
[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.
Multiply both sides by 66:
[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]
Help me pls
Find the missing segment in the image below
Answer:
The answer is 12
Step-by-step explanation:
You see its because.
Answer:
?=12
Step-by-step explanation:
Using the Thalès's theorem:
[tex]\dfrac{6}{6+4}=\dfrac{?}{20} \\\\?*10=6*20\ (cross\ products)\\\\?=\dfrac{6*20}{10} \ dividing\ by\ 10\\\\?=12[/tex]
I AM GIVING BRAINLISEST AND 20 POINTS! Write the equation of the circle in standard form.
Answer:
[tex](x-4)^2+(y)^2=9[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-n)^2+(y-m)^2=a[/tex]
This circle will have a radius of ([tex]\sqrt{a}[/tex]), moreover, this circle will have its center at point [tex](n,m)[/tex]. Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.
The circle in the given problem has its center at (4, 0). Therefore the following can be stated,
[tex]n=4\\\\m =0[/tex]
Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
Simplify,
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
[tex]D=\sqrt{(0)^2+(3)^2}[/tex]
[tex]D=\sqrt{0+9}[/tex]
[tex]D=\sqrt{9}[/tex]
[tex]D=3[/tex]
The parameter (a) is equal to ([tex]D^2[/tex]) are per the format of the equation, thus one must do the following to find the value of (a):
[tex]a = D^2[/tex]
[tex]a=3^3[/tex]
[tex]a = 9[/tex]
Substitute all of the information into the general formula for the equation of a circle, then simplify,
[tex](x-n)^2+(y-m)^2=a[/tex]
[tex](x-4)^2+(y-0)^2=9[/tex]
[tex](x-4)^2+(y)^2=9[/tex]
How do I solve this problem? The trouble that I have is evaluating if 2^∞ or ∞³ is larger?
For large enough x, exponential functions like 2ˣ will always dominate a polynomial of any degree. This is to say the denominator will always be larger than the numerator (again, for sufficiently large x). So the limit in this case would be 0. (I'll leave a link in comments to a variety of answers regarding this detail.)
But if you've been introduced to L'Hopital's rule: we have
[tex]\displaystyle \lim_{x\to\infty}\frac{5x^3+10}{6\times2^x-1} = \lim_{x\to\infty}\frac{15x^2}{6\ln(2)\times2^x} = \lim_{x\to\infty}\frac{30x}{6\ln^2(2)\times2^x} = \lim_{x\to\infty}\frac{30}{6\ln^3(2)\times2^x} = \frac1\infty = 0[/tex]
(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)
Answer:
Part A: A = 8
B = 20
C = 28
D = 35
E = 37
F = 72
G = 43
H = 57
I = 200
Part B: 18.5%
Part C:
D = People who do not like Orange Juice
B = People who do not like Apple Juice
I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.
D = 35
B = 20
So there is a greater dislike for Orange Juice.
Step-by-step explanation:
Nicholas wants to order a pizza. He has a total of $13 to pay the delivery person. This pizza cost $7.50 Plus $1.25 per topic. If he plans to tip 15% of the total cost of the pizza, how many toppings can he order
Answer:
Nicholas can order up to 3 toppings.
Step-by-step explanation:
Solve for the tip:
15% of the total cost = 15% × $7.50
Convert percentage into a decimal:
0.15 × 7.50 = 1.125
Variable x = number of toppings
Set up an equation:
7.50 + 1.125 + 1.25x = 13
Combine like terms:
8.625 + 1.25x = 13
1.25x = 4.375
x = 3.5
Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.
Which is a y-intercept of the graphed function
Well, a y-intercept is a the point on a graph where the x value equals 0, because the point sits exactly on the y-axis. In this case, the y-intercept would be (0, -9).
Answer:
(0,-9)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The y intercept is
-9
(0,-9)
3% of what number is 1.86
Answer:
62
Step-by-step explanation:
Of means multiply and is means equals
.03 * n = 1.86
Divide each side by .03
.03n/.03 = 1.86/.03
n =62
Write each decimal as a fraction or mixed number in simplest form -0.4
Answer:
-2/5
Step-by-step explanation:
Delta math need help
Answer:
2.6
Step-by-step explanation:
We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:
h^2 = a^2 + b^2
4^2 = 3^2 +b^2
16= 9 +b^2
16-9= b^2
7= b^2
(take square root in both sides)
b= 2.65
round to nearest 10th = 2.6
answer by Gauthmath
Answer:
Missing side is 2.6
3^2 + x^2 = 4^2
9 + x^2 = 16
-9 -9
x^2 = 7
([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]
x = 7
Find the approximation o the square root of 7 in fractions then carry out the long division.
Or
Approx. is 2 3/5 which equals 2 6/10 which equals 2.6
How is karl Pearson coefficient of skewness is differ from bowley's coefficient?
Answer:
where is the rest of the question??
Step-by-step explanation:
Solve the following literal equation for b.
cb + db = a
Step-by-step explanation:
[tex]cd + db = a \\ b(c + d) = a \\ \frac{b(c + a)}{a + b} \\ b = \frac{a}{c + d} [/tex]
Answer:
The other answer is correct
Step-by-step explanation:
I need help finding the measures
Answer:
a = 50
b = 50
c = 80
d = 50
e = 130
Step-by-step explanation:
e = 180 - (25 + 25) {Angle sum property & It is an isosceles triangle}
= 180 - 50 = 130
a +e = 180 {Linear pair}
a + 130 = 180
a = 180 - 130
a = 50
d =a {Vertically opposite angles}
d = 50
c = 180 -(50+ 50 ) {Angle sum property & It is an isosceles triangle}
c = 180 -100
c = 80
a+b + c = 180 {Straight angles}
50 + b + 80 = 180
b + 130 = 180
b = 180 - 130
b = 50
A motorboat travels 81 miles in 3 hours going upstream. It travels 135 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answer:
27, 18
Step-by-step explanation:
Here's why
Simplify : -2a(a-d)+2a(2a-3D) pls help.
-2a(a - d) + 2a(2a - 3d)
(-2a * a) + (-d * -2a) + (2a * 2a) + (2a * -3d)
-2a^2 + 2ad + 4a^2 - 6ad
(4a^2 - 2a^2) + (2ad - 6ad)
2a^2 - 4ad
---The above expression is simplified, though not fully. The below expression is fully simplified.
2a(a - 2d)
Hope this helps!
Cassie has 28 days to complete a packet. The packet has 150 questions in it.
How many questions a day would she need to answer to get it completed in the time frame?
Answer:
6 questions
Step-by-step explanation:
Take the total number of questions and divide by the number of days
150/28
5.357142858
You would need to round up to make sure that the packet is completed in time
6 questions
what is 15 out of 24 as a percent?
Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
9514 1404 393
Answer:
7.56 cm
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3b²h . . . . where b is the base edge length, and h is the height.
Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...
144 cm³ = 1/3h³
432 cm³ = h³
h = ∛432 cm ≈ 7.55953 cm
The height of the pyramid is about 7.56 cm.
Answer:
[tex]7.56cm[/tex]
Step-by-step explanation:
Given that,
base length = Height
so,
[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]
We can also write this as( according to this question)
[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]
let's solve
[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]
[tex]base = height = 7.55cm \\ [/tex]
= 7.56cm
The baseball team has a double-header on Saturday. The probability that they will win both games is 34%. The probability that they will win the first game is 75%, What is the probability that the team will win the second game given that they have already won the first game?
A. 45%
B. 74%
C. 90%
D. 26%
Answer:
A. 45%
Step-by-step explanation:
34/75=45 = 45%
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900