Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
much profit present does he make on selling all the pencil boxes?
5%
7%
10%
12%
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
Help me please!
Consider the function f(x) = V2x – 4. Iff-'(x) is the inverse function of f(x), find
f-16)
Answer:
[tex]f^{-1}(6) = 50[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt{2x} - 4[/tex]
Required
Find [tex]f^{-1}(6)[/tex]
First, we calculate the inverse function
[tex]f(x) = \sqrt{2x} - 4[/tex]
Express f(x) as y
[tex]y = \sqrt{2x} - 4[/tex]
Swap the positions of x and y
[tex]x = \sqrt{2y} - 4[/tex]
Solve for y: Add 4 to both sides
[tex]4 + x = \sqrt{2y} - 4+4[/tex]
[tex]4 + x = \sqrt{2y}[/tex]
Square both sides
[tex](4 + x)^2 = 2y[/tex]
Divide both sides by 2
[tex]y = \frac{(4 + x)^2}{2}[/tex]
Express y as an inverse function
[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]
Next, solve for: [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{100}{2}[/tex]
[tex]f^{-1}(6) = 50[/tex]
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
78% of all laboratory mice can make it through a maze. If 600 randomly selected mice attempt the maze. Write out the formula to calculate the confidence interval
translate the point (5,2)—> 3 units to the left
Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then
[tex](x,y)\to (x-3,y)[/tex]
Using this rule of translation, we get
[tex](5,-2)\to (5-3,-2)[/tex]
[tex](5,-2)\to (2,-2)[/tex]
Therefore, the new location of the point is (2,-2). Hence, the correct option is C.
What is the domain? Is it (-4,3)
Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.
Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reece needs to add a liquid treatment to the water. The instructions tell him to add 5 ml of treatment for every 0.18 m3. How many treatment does Reece need to add?
Answer:
15 ml
Step-by-step explanation:
Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3
For every 0.18m^3,5ml of treatment is added,what of 0.54m^3
(0.54m^3*5ml)/(0 18m^3)=15ml
Pls help i'll give brainlest
Answer: B. 183 cm^3
V = pi r^2 h/3
V = pi (5^2) (7/3)
V = pi (25) (2.33)
V = 183
Answer:
B.183 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume of cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
where h=7 and r=5 (because r=d/2, where d=10)
V=[tex]5^{2}\frac{7}{3}\pi[/tex]
V=25·[tex]\frac{7}{3} \pi[/tex]
V=175/3[tex]\pi[/tex]
V=183.2595715 or 183 [tex]cm^{3}[/tex]
A pizza delivery chain advertises that it will deliver your pizza in 30 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 30 minutes. For the simple random sample of 9 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 35.4 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal.
Required:
a. Perform a hypothesis test using a 0.05 level of significance.
b. State the null and alternative hypotheses for the test.
Answer: B
Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.
Why Was A Book In The Frying Pan On The Stove?
Pls answer. I will mark brainliest.
Answer:
true
false
true
false
true
false
Step-by-step explanation:
You deposited 750 in an account that pays 5% interest compounded quarterly. How many years do you have two wait until it becomes at least ten times as much? Round answer to the nearest whole year.
A. 47
B. 46
C. 45
D. 48
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
2,3,4, and 5
Step-by-step explanation:
#1
In Q1 x>0,y>0So all are positive
#2
In Q3
x<0y<0Hence all are negative
#4
Yes anything left to or bottom to zero us negative
#6
Yes on Both Q3 and Q4 y<0option A,B,D,F are correct
Question 4 of 10
When the input is x = 3 for the parent function f(x) = x, what is the output?
O A. f(x) = 3
O B. f(x) = -3
O C. f(x) = 0
O D. f(x) = 1
Answer:
A
Step-by-step explanation:
f(x) = x
x = 3
->
f(3) = 3
A
Are all proportional relationships functions?
The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.
Helppppppp pls
Your grocery store bill was $34.97. You paid with a $50 bill. How much money do you have left?
Answer:
$15.03
Step-by-step explanation:
50.00
- 34.97
_______
15.03
Answer:
The answer is $15.03.
Step-by-step explanation:
Just subtract.
While riding her bike to the ocean and back home 6 times, Melissa timed herself at 42min, 46min, 52min, 57min, 59min, and 55min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her seventh ride to attain her goal?
Answer:
She needs a time of 61 min on her 8th ride
in order to average 51 min for the 8 rides
Step-by-step explanation:
+%28+46+%2B+48+%2B+50+%2B+43+%2B+54+%2B+54+%2B+52+%2B+t+%29+%2F+8+=+51+
+347+%2B+t+%29+%2F+8+=+51+
+347+%2B+t+=+408+
+t+=+61+
combination
in a lottery, a player chooses 6 different numbers from 1-40 and if they match the winning numbers the player wins the top prize
what is the probability of winning the top prize?
Answer:
I would maybe say 34% im in sixth grade and this hard for me atleast i tried
Step-by-step explanation:
Answer:
1 out of 27,636,336,000
Step-by-step explanation:
40 · 39 · 38 · 37 · 36 · 35 = 27,636,336,000
Hans is performing an experiment examining how salt affects the speed at which water freezes. He fills four equally sized containers with the same amounts of water. Then, in three of the containers, he stirs in varying amounts of salt. The fourth container remains plain water.
Hans places all four of the containers in the same freezer and checks the containers every five minutes, recording when the water in each container freezes solid.
In this situation, what do Hans’s time measurements represent?
A.
the response variable
B.
the control group
C.
the response group
D.
the explanatory variable
Answer:
Answer B.
Because we know He's checking the experiment every 5 minutes.
Miguel is 4 years older than 2/3 of Harper's age. The sum of their ages is 34. His harper 16?
Answer:
Harper's age = 18
Miguel age = 16
Step-by-step explanation:
Given:
Miguel age = [2/3][Harper's age] + 4
Sum of their age = 34
Computation:
Assume;
Harper's age = a
So,
Miguel age = [2/3][a] + 4
Sum of their age = 34
So,
Miguel age + Harper's age = 34
[2/3][a] + 4 + a = 34
[2a / 3] + a = 34 - 4
[2a + 3a] / 3 = 30
5a / 3 = 30
5a = 90
a = 18
So,
Harper's age = 18
Miguel age = [2/3][a] + 4
Miguel age = 16
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places
Answer:
Step-by-step explanation:
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places
H0 : P1 - P2 = 0
H1 : P1 - P2 ≠ 0
P1 = 0.8636
P2 = 0.6
q1 = 1 - P1 = 0.1364
q2 = 1 - P2 = 0.4
Tstatistic = (p1 - p2) ÷ √(p1q1)/n1 + (p2q2)/n2]
Tstatistic = (0.8636-0.6) ÷ √0.01735432]
Tstatistic = 0.2636 ÷ 0.1317357
Test statistic = 2.0009761
Test statistic = 2
The Pvalue from t statistics :
Tscore = 2 ; df = 20 + 22 - 2 = 40
Ssomeone help me in this one now please
At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus?
Answer:
450 students
Step-by-step explanation:
Jemima has twice as much money
as Matthew. Jemima has four times
as much money as Sally, Sally has
$3 more than Andrew. If Matthew
has $14, how much money do
Andrew, Sally and Jemima have?
i have to finish this today HELPPPP!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply
Bert, Camille, and Etsuko.
Answer:
Bert, Camille, and Etsuko has the solution as x = 4.
Step-by-step explanation:
Bert:
2x - 9 = -1
Camille:
-2x + 12 = 4
Etsuko
[tex]2(x - 10) = - 12[/tex]
Find the missing length indicated
A) 25
B) 5
C) 8
D) 3
Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get
[tex]\dfrac{6}{8-6}=\dfrac{12-x}{x}[/tex]
[tex]\dfrac{6}{2}=\dfrac{12-x}{x}[/tex]
[tex]3=\dfrac{12-x}{x}[/tex]
[tex]3x=12-x[/tex]
Adding x on both sides, we get
[tex]3x+x=12[/tex]
[tex]4x=12[/tex]
[tex]x=\dfrac{12}{4}[/tex]
[tex]x=3[/tex]
The missing length is 3 Therefore, the correct option is D.
(PLSSSS HELP) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Answer:
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
Step-by-step explanation:
Given
[tex]x + 3y = 22[/tex]
Solving (a): The possible coordinates
We have:
[tex](x,y) = (-2,8)[/tex]
This gives:
[tex]x + 3y = 22 \to -2 + 3 * 8[/tex]
[tex]x + 3y = 22 \to -2 + 24[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(-2,8) is a point on the grid
[tex](x,y) = (7,5)[/tex]
This gives:
[tex]x + 3y = 22 \to 7 + 3 * 5[/tex]
[tex]x + 3y = 22 \to 7 + 15[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(7,5) is a point on the grid
[tex](x,y) = (-5,5)[/tex]
This gives:
[tex]x + 3y = 22 \to -5 + 3 * 5[/tex]
[tex]x + 3y = 22 \to -5 + 15[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(-5,5) is a not point on the grid
[tex](x,y) = (1,3)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 3[/tex]
[tex]x + 3y = 22 \to 1 + 9[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(1,3) is a not point on the grid
[tex](x,y) = (1,7)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 7[/tex]
[tex]x + 3y = 22 \to 1 + 21[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(1,7) is a point on the grid
So, we plot the following on the grid
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
See attachment
Why is c speed of light in albert einseins eqation e=mc squared
Answer:
[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
The speed of light (c) is considered a fundamental constant of nature. In the famous relativity equation, E = mc², the speed of light (c) serves as a constant of proportionality, linking the formerly disparate concepts of mass (m) and energy (E).