between which two numbers would you place √40 on a number line
Answers
Answer:
between 6 and 7
Step-by-step explanation:
The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.
Related Questions
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
Answers
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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(1-\sqrt{x})/1+\sqrt{x}
Answers
Answer:
\( \frac{1 - 2 \sqrt{x} + x }{1 - x} \)
Step-by-step explanation:
\( \frac{1 - \sqrt{x} }{1 + \sqrt{x} } \)
Rationalize the denominator by multiplying by it conjugate.
\( \frac{1 - \sqrt{x} }{1 + \sqrt{x} } \times \frac{1 - \sqrt{x} }{1 - \sqrt{x} } = \frac{1 - 2 \sqrt{x} + x}{1 - x} \)
There is something that, although it belongs to you, people always use it more than you. What is it?
Answers
Answer:
Your name is the answer to the riddle.
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
Answers
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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Immediate assistance needed, please
Answers
The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft
The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft
The reasonable domain for the function h is
0 ≤ t ≤ 10
The reasonable range for the function h is
0 ≤ h ≤ 1800
How to find the time of free fallThe duration of free fall is calculated using the given function
h = -16t² + 1800
the parachute is opens at 1000 ft
h = -16t² + 1800
1000 = -16t² + 1800
16t² = 1800 - 1000
16t² = 800
t² = 800 / 16
t² = 50
t = √50
t = 7.07 s
the time at this situation is 7.07s
the parachute is opens at 950 ft
h = -16t² + 1800
950 = -16t² + 1800
16t² = 1800 - 950
16t² = 850
t² = 850 / 16
t² = 53.125
t = √53.125
t = 7.2887 s
the time at this situation is 7.29s
reasonable domain
minimum t = 0
for maximum t, h = -16t² + 1800 = 0
16t² = 1800
t = 10.61
0 ≤ t ≤ 10
the reasonable domain is 0 ≤ t ≤ 10
reasonable range
h = -16t² + 1800
at t = 0, h = 1800
at t = 10.606, h = 0
0 ≤ h ≤ 1800
the reasonable range is 0 ≤ h ≤ 1800
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Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
Answers
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°
Answers
A)78°
135°+a° =180°
a°=45°
57°+x°+a°=180°
57°+x°+45°=180°
102°+x°=180°
x°=180°-102°
x°=78°
Problem Solving Method
Problem to solve
Alexis had 98 trading cards last Saturday.
(o
She gave a dozen to her little brother but her big brother gave her a pair.
Alexis traded 9 more cards for 4 new ones that were more valuable.
She then traded another half dozen for 1 that she had been hoping to find.
Alexis wants to get a card album for her birthday so she can organize all her cards.
Yesterday she was running home with all of her cards in her bag. She dropped two of her
cards along the way because the bag was not zipped.
How many cards did she have when she got home?
What is the first thing that you would do to solve this problem?
Caluina Stan
Answers
Answer:
76 cards
Step-by-step explanation:
First you would take 96-12 to get 84. Then, take 84+ 2-9 to get 79. Then take 79 +4-6 to get 77.then take 77+1-2 to get 76 cards.
what is the volume of the rectangular prism ?
Answers
Answer:
180 \(cm^2\)
Step-by-step explanation:
L x W x H
6 x 5 x 6
180
Answer: 180 cubic centimeters
Step-by-step explanation:
Each little blue cube measures 1 cm in each direction - width, height, and depth.
The volume of the whole figure is just the volume of all the little cubes, added up.
The block of cubes is 5 cubes wide and has a depth of 6 cubes. So each horizontal layer is 5 * 6 = 30 cubes, total.
The block of cubes is 6 layers deep, so we have 6 layers of 30 cubes each = 6 * (30 cubes) = 180 cubes in all.
Each cube is 1 cubic centimeter (abbreviated 1 cc), so 180 of them have a combined volume of 180 cc.
A shorter way to say all this is to say that V = width * depth * height =
= 5 cm * 6 cm * 6 cm = (5)(6)(6) cm³ = 180 cubic centimeters
Original price
of a car: $21, 950
Comission: 5%
What’s the commission?
Answers
Answer:
1097.50
Step-by-step explanation:
5 percent of 21,950 = 1097.50
pls mark me brainliests if this helped :)
The entries in Table I are the probabilities that a random variable having the standard normal distribution will take on a value between 0 andz. They are given by the area of the gray region under the curve in the figure. TABLET NORMAL-CURVE AREAS 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.2257 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4648 0.4719 0.4778 0.6 0.7 0.8 0.9 1.0 0.2580 0.2881 0.3159 0.3413 0.2324 0.2642 0.2939 0.3212 0.3461 0.2422 0.2734 0.3023 0.3289 0.3531 0.2454 0.2764 0.3051 0.3315 0.3554 0.2517 0.2823 0.3106 0.3365 0.3599 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 1.1 1.2 1.3 1.4 1.5 0.3749 0.3944 0.4113 0.4265 0.4394 0.3770 0.3962 0.4131 0.4279 0.4406 0.3810 0.3997 0.4162 0.4306 0.4429 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4725 0.4783 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 1.6 1.7 1.8 1.9 2.0 0.450S 0.4599 0.4678 0.4744 0.4798 0.4515 0.4608 0.4685 0.4750 0.4803 0.4525 0.4616 0.4692 0.4756 0.4808 0.4535 0.4625 0.4699 0.4761 0.4812 2.1 2.2 2.3 2.4 2.5 0.4826 0.4864 0.4896 0.4920 0.4940 0.4830 0.4868 0.4898 0.4922 0.4941 0.4834 0.4871 0.4901 0.4925 0.4943 0.4850 0.4884 0.4911 0.4932 0.4949 0.4854 0.4887 0.4913 0.4934 0.4951 0.4857 0.4890 0.4916 0.4936 0.4952 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.4842 0.4846 0.4878 0.4881 0.4906 0.4909 0.4929 0.4931 0.4946 0.4948 0.4960 0.4961 0.4970 0.4971 0.4978 0.4979 0.4984 0.4985 0.4989 0.4989 2.6 2.7 2.8 2.9 3.0 0.4955 0.4966 0.4975 0.4982 0.4987 0.4956 0.4967 0.4976 0.4982 0.4987 0.4957 0.4968 0.4977 0.4983 0.4988 0.4962 0.4972 0.4979 0.4985 0.4989 0.4963 0.4973 0.4980 0.4986 0.4990 0.4964 0.4974 0.4981 0.4986 0.4990 Also, for 3 - 4.0, 5.0 and 6.0, the areas are 0.49997, 0.4999997, and 0.499999999. ^ The entries in Table II are values for which the area to their right under the 1 distribution with given degrees of freedom (the gray area in the figure) is equal toa. TABLE II VALUE OF d.f. Fo.050 os 0.005 d.. 63.657 9.925 1 2 3 4 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 0.010 31.821 6.965 4.541 3.747 3.365 1 2 3 4 5.841 4.604 4.032 S S 6 7 6 7 8 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 9 9 10 10 11 12 1.796 1.782 1.771 1.761 1.753 13 14 15 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 11 12 13 15 16 16 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 17 18 19 2.539 2.528 20 21 22 23 24 25 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 21 22 23 24 25 2.492 2.485 2.056 2.052 26 27 28 29 Inf. 1.706 1.703 1.701 1.699 1.645 2.479 2.473 2.467 2.462 2.326 2.779 2.771 2.763 2.048 26 27 28 29 Inf. 2.045 2.756 2.576 1.960 Question 2 (20 marks) A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 7 5 15 8 10 3 9 A report presented by this tutorial school 5 years ago indi that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part (a) is constructed at 99% instead of 95%, would the interval be (1) wider, (II) narrower, or (III) no change in width? (State your answer, no explanation is needed in part (C).)
Answers
From the table, the area between 0 and 2 under the standard normal distribution curve is 0.4772. Therefore, the probability that a random variable having the standard normal distribution will take on a value between 0 and 2 is 0.4772.
ratios: how do you thin you can calculate the total distance traveled if you were running at a constant speed
Answers
The total distance one traveled when running at a constant speed can be calculated by using the formula, Distance = Speed × Time
From the question, we are to determine how we can calculate the total distance traveled if one is running at a constant speed.
NOTE: When speed is constant, the distance traveled is directly proportional to the time taken
That is,
d ∝ t
d = st
Where d is the total distance traveled
s is the constant speed
and t is the total time taken
Hence, the total distance one traveled when running at a constant speed can be calculated by using the formula, Distance = Speed × Time
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A committee of 4
is being formed randomly from the employees at a school: 4
administrators, 30
teachers, and 4
staff. What is the probability that all 4
members are teachers? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answers
The probability that all 4 are teachers is 0.0000135.
How to solve for the probabilityThe total number is =
4 + 30 + 4
= 38
The committee of 4 from 38 =
38C4 = 73815
The committee of 4 from 4 teachers =
4C4 = 1 way
The total favorable cases = 1 way
Probability = favorability/ total cases
= 1/73815
= 0.0000135
Hence the probability that all 4 are teachers is 0.0000135.
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For how many games Is the total cost of bowling equal for the two bowling establishments? Family Bowling- Game $4 Shoes $1 Knight Owl Bowling- Game $3.75 Shoes $2. Give the Equation step by step please
Answers
Step-by-step explanation:
Answer: If you play 4 games, the price will be the same in the two establishments.
Step-by-step explanation:
Ok, in Family Bowling we have:
$4 per game, plus $1 per shoes (the shoes are paid only one time).
Then, the price for X games, is:
Pa(X) = $4*X + $1.
In Knight Owl Bowling we have:
$3.75 per game and $2 for the shoes, the price for X games will be:
Pb(X) = $3.75*X + $2.
Now, if we want to pay the same in both establishments, we have:
Pa(X) = Pb(x)
$4*X + $1 = $3.75*X + $2
Now we should solve this for X.
$4*X - $3.75*X = $2 - $1 = $1
($4 - $3.75)*X = $1
$0.25*X = $1
X = $1/$0.25 = 4.
If you play 4 games, the price will be the same in the two establishments.
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New questions in Mathematics
78° L Find the measure of angle M. m/M = M 36° N
In the figure below, m∠2=106°Findm/1m/3, andm/4.
Is 15 rational ?????????
If m need an answer ASAP please provide a step by step if possible.
Write an algebraic expression that models the situation. Jenny had $182, but she is spending $12 per week.
Draw a model to represent the problem. 1/2 divided by 1/4
A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis balls weigh? Please write an EQUATION involving a variable
Find the measure of x help asap
Answers
Answer:
M<XQL=118°
Step-by-step explanation:
209-13b=146-4b
209-146=-4b+13b
63=9b
b=7
<XQL=209-13b=
209-13(7)=
209-91=
118
the gcf of 32,16 please im giving points
Answers
two equations in standard for equivalent to x+y=-10
Answers
What are the values of x and y that simultaneously satisfy the two linear equations graphed below? HELP PLEASE
Answers
Answer:
D
Step-by-step explanation:
x=9 and y=4 is given in the graph, this makes the answer between B and D
Since y=-⅔x+10 and y=x-5, 4=-⅔(9)+10 and 4=9-5
So the answer is D
CAN SOMEONE PLEASE HELP ME WITH MY MATH !!!
Answers
Step-by-step explanation:
We can calculate the value of y by using the Euclidean theorem
y^2 = 20 × 4
y^2 = 80
y = 4√5
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
Answers
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
Answers
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
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Answer:
the correct option is D
Step-by-step explanation:
Ginny's account after withdrawal?
Answers
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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Write the name for the decimal value of point M on the number line.
Answers
Using division operation, The value of M in the number line is 5.05 units
Data;
Starting = 5.6Ending = 5.7m = ?The Value of MThe value of m is the midpoint of the line between the starting and ending.
To find the value of m, let's find the difference between the starting and finishing and then take half of the value.
\(5.7 - 5.6 = 0.1\)
Let's take have the value of 0.1
\(\frac{0.1}{2} =0.05\)
The value of m will be
\(5 + 0.05 = 5.05\)
The value of M is 5.05 units
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3.
(02.02)
Angle XYZ is formed by segments XY and YZ on the coordinate grid:
A coordinate plane is shown. Angle XYZ has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees.
Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X′Y′Z′. Which statement shows the measure of angle X′Y′Z′?
Answers
Answer:
the answer will be
m∠X′Y′Z′ = m∠XYZ
Step-by-step explanation:
i took the test XDStep-by-step explanation:
the answer will be
m∠X′Y′Z′ = m∠XYZ
Step-by-step explanation:
i took the test XD
What is 1/2 divided by 1/3
Answers
Answer:
0.166666667
Step-by-step explanation:
You want to have $150,000 in your retirement account when you retire in 30 years. Your retirement account earns 7%
interest. How much do you need to deposit each month to meet your retirement goal?
Round your answer to the nearest cent.
Do NOT include the dollar sign.
Answers
Answer: 123.05
Use annuity formula
Answer:
Step-by-step explanation:
Since we're talking about making a deposit of a certain amount every month rather than just one big deposit, we are talking about an annuity. The formula for the value of an annuity is A(t)=d[(1+rn)nt−1](rn) where A(t) is the value of the annuity, d is the amount of each deposit, n is the number of deposits per year, t is the number of years, and r is the rate of interest. In this case we know we want the value of the annuity to be A(t)=$150,000, we want to make deposits every month, or 12 times a year, so n=12, we want to reach our desired value in 30 years, so t=30, and our account earns 7% interest, so r=0.07. We can plug in all of these values and solve for d to find the amount we need to deposit each month:
A(t)150,000150,000150,000d=d[(1+rn)nt−1](rn)=d[(1+0.0712)12⋅30−1]0.0712≈d[(1.00583)360−1]0.00583≈1,219.97d≈122.95
The amount you need to deposit each month is approximately $122.95.
which graph represents y=^3√x
Answers
The graph attached is the graph representing the cube root function y = ∛x.
The opposite of the cubic function is the cube root function. We are aware that the parent cubic function is growing, one-one, and onto, and that its form is f(x) = x³. It is a bijection as a result. As a result, its inverse function, the cube root function, is also a bijection and has the form f(x) = ∛x. The parent cubic function and parent cube root functions have the same graphs because we know that a function and its inverse function are symmetric about the line y = x.
In the question, we are asked to show the graph of y = ∛x.
Taking the function of the cube root function as y, we get f(x) = y = ∛x.
Thus, we can show the graph of the cube root function in the attached image.
Learn more about the cube root function at
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Each container must hold exactly 1 litre of water Each container must have a minimum surface area
Answers
The containers must be spheres of radius = 6.2cm
How to minimize the surface area for the containers?
We know that the shape that minimizes the area for a fixed volume is the sphere.
Here, we want to get spheres of a volume of 1 liter. Where:
1 L = 1000 cm³
And remember that the volume of a sphere of radius R is:
\(V = \frac{4}{3}*3.14*R^3\)
Then we must solve:
\(V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{ (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm\)
The containers must be spheres of radius = 6.2cm
If you want to learn more about volume:
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Use the distributive property to remove the parentheses.
-7(v– 3y-6)
Answers
Answer:
-7v+21y+42
Step-by-step explanation:
6th grade math I mark as brainliest
Answers
Answer:
1/9
Step-by-step explanation:
Multiply the numerators and multiply the denominators
1 x 1 = 1
3 x 3 = 9