Answer:
the formula for finding interest is I=p×r×t÷100
so the answer will be l=4000×3×4÷100which is equal to480.Therefore the interest is $480
A pair of jeans costs x dollars and is subject to 7% sales tax.
Select an expression that repersents the amount of tax that must be paid.
1. 7ₓ
2. 0.07
3. 0.07ₓ
4.7
A teacher instructed her students to draw an isosceles triangle that has at least one angle that
measures 75° and exactly one side that measures 12 centimeters.
Using the teacher's instructions, how many different triangles can be drawn that have the same
angle and side measures? Enter your answer in the box.
The number of different triangles that can be drawn that have the same angle and side measures will be 2.
What is an isosceles triangle?It should be noted that an isosceles triangle simply means a triangle that has two sides that are of equal length.
In this case, the number of different triangles that can be drawn that have the same angle and side measures will be 2. The angle is 75° and side length is 12cm.
Learn more about triangles on:
https://brainly.com/question/1475130
Find any points of discontinuity for the rational function. y = (x - 1)/(x ^ 2 - 2x - 8)
Answer:
Asymptotic discontinuities at [tex]x = (-2)[/tex] and [tex]x = 4[/tex].
Step-by-step explanation:
A linear function has an asymptotic discontinuity at [tex]x = a[/tex] if [tex](x - a)[/tex] is a factor of the denominator after simplification.
The numerator of this function, [tex](x - 1)[/tex], is linear in [tex]x[/tex].
The denominator of this function, [tex](x^{2} - 2\, x - 8)[/tex], is quadratic in [tex]x[/tex]. Using the quadratic formula or otherwise, factor the denominator into binominals:
[tex]\begin{aligned}y &= \frac{(x - 1)}{x^{2} - 2\, x - 8} \\ &= \frac{(x - 1)}{(x - 4)\, (x + 2)}\end{aligned}[/tex].
Simplify the function by liminating binomials that are in both the numerator and the denominator.
Notice that in the simplified expression, binomial factors of the denominator are [tex](x - 4)[/tex] and [tex](x + 2)[/tex] (which is equivalent to [tex](x - (-2))[/tex].) Therefore, the points of discontinuity of this function would be [tex]x = 4[/tex] and [tex]x = (-2)[/tex].
find the measure of angle R
please help!
Answer:
68
Step-by-step explanation:
The shape is 5 sides polygon.
Sum of interior angles of a 5 sided polygon = 540,
7x + 4 + 8x + 3 + 4x + 8 + 10x - 4 + 6x + 4 = 540
7x + 8x + 4x + 10x + 6x + 4 + 3 + 8 + 4 - 4 = 540
35x + 4 + 3 + 8 = 540
35x + 15 = 540
35x = 540 - 15
35x = 525
Divide 35 on both sides,
x = 525 / 35
x = 15
Angle R = 4x + 18
Substitute the value of x,
Angle R = 4 ( 15 ) + 8
= 60 + 8
Angle R = 68
The ratio of hydrogen to oxygen in a plant sample is 18:12. The sample has 42 units of oxygen.
How much hydrogen does the sample have?
2828
3030
4848
6363
Answer:63
Step-by-step explanation: H:0=18:12=1.5:1
1.5:1=63:42
Select the correct answer. what is the simplified form of ? a. b. c. d.
The correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
Simplification of the fractionThe given fraction is written as follows;
[tex]3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)[/tex]
[tex]=3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)\\\\= \frac{21}{5} x + 12 - 3 + \frac{5x}{2} \\\\= \frac{21}{5} x +9 + \frac{5x}{2}\\\\= \frac{42x + 90+ 25x}{10} \\\\= \frac{67x}{10} + 9[/tex]
Thus, the correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].
Learn more about mixed fractions here: https://brainly.com/question/1746829
Determine if √2 is rational or irrational and give a reason for your answer.
Answer:
√2 is irrational
Step-by-step explanation:
√2 is irrational because you cannot write it as a fraction of rational numbers. Some good approximations of √2, however, are 99/70, 577/408, and 665857/470832.
Solve the system of equations. If you answer all today I'll award the brainiest.
Step-by-step explanation:
The answer for C is:
(x,y) = (-166, 34)
I think your teacher wants you to write it as x=-166, x-=34 ? I'm not sure.
And for D it's:
(x,y) =
[tex](x,y) = ( \frac{16}{3}, - \frac{1}{9} )[/tex]
Which would be x= 16/3, x= -1/9
Which proportion satisfies the geometric mean (altitude) theorem for the triangle? startfraction 2 over h endfraction = startfraction 3 over m endfraction startfraction 2 over n endfraction = startfraction 3 over h endfraction startfraction 2 over h endfraction = startfraction h over n endfraction startfraction 2 over h endfraction = startfraction h over 3 endfraction
The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
Triangular altitutude theoremAccording to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.
Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN
Substitute the measure of the sides
2/h = h/3
Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3
Learn more on mean altitude theorem here; https://brainly.com/question/10216660
Answer:
its D, 2/h = h/3
Step-by-step explanation:
7. Find the perimeter of the rectangle with length 33 yards and width 59 yards.
A.92 yd
B.1,947 yd
C.125 yd
D.184 yd
Answer:184yards
Step-by-step explanation:
First of all, the formulae for finding the perimiter is 2xlength + 2xwidth
which can also be written as 2l + 2w
solution:
=2l + 2w
=2x33 + 2x59
=66 + 118
= 184
Therefore the perimeter of the rectangle is 184yards.
is the following a statistical question? how many quarts are in a gallon
Answer:
No
Step-by-step explanation:
A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.
Help please I need it
Answer:
$7,350.00
Step-by-step explanation:
To find out the total amount of money, you need to know the total amount of tickets sold.
So, find out what 20% of 350 is for the second hour and add it to the 350 from the first hour
350 x 0.20 = 70
350 + 70 = 420 total tickets
now you multiply 420 by the amount of money per ticket in order to know the price for all the tickets in both hours
420 x 17.50 = 7,350 dollars total
A rectangular prism is 10 millimeters long and 19 millimeters wide. Its volume is 1,919.0 cubic millimeters. What is the height of the rectangular prism?
Answer:
Height of the rectangular prism is 10.1 millimeters
Step-by-step explanation:
Rectangular Prism Formula = Length * Width * Height
1,919mm^3 = 10 mm * 19mm * height
height = 10.1 millimeters
what's the constant rate on this?
Answer:
Constant Rate = -2
Step-by-step explanation:
To find the constant rate or slope, you can use Change in Y-Value/Change in X-Value using two points. (Rise/Run). You can use any two points.
From that you should be able to get -2.
Find the equation of the line shown
Answer:
y = 2x
Step-by-step explanation:
Use y = mx + b to write an equation. The y-intercept is zero. This is where the line crosses the y -axis, kind of the "starting point" So in the equation the b is a zero.
You can grab a couple points from the line to do a calculation for slope. BUT, you can actually SEE the slope on this line and save yourself the calculation. Starting from zero, see that you go UP 2 and OVER 1 to get to the next point. UP2OVER1 gets you to the next point and the next point. UP2OVER1 is the slope 2/1, which is 2, which is the m in the equation.
y = 2/1 x + 0
y = 2x + 0
y = 2x
**in case you have to show a calc for slope. Grab two points and do y-y, put that on top and then x-x and put that on the bottom.**
The volume of the cube below is 250.047 cm^3. The side lengths could be between which sets of numbers below
A. 4cm and 5cm
B. 5cm and 6 cm
C. 6cm and 7 cm
D. 7cm and 8cm
Answer:
C. 6cm and 7 cm
Step-by-step explanation:
The volume of a cube is calculated by finding the third power of a side length which is basically multiplying the value by itself three times (a^3 = a*a*a)
Let a represent the side length
a^3 = 250.047 cm^3 (approximately 250) we can try each option one by one to find the nearest result:
A)
the third power of 4 is 64 and the third power of 5 is 125 so this is not the answer we are looking for
B)
The third power of 5 is 125 and the third power of 6 is 216 so this is also not the answer we are looking for
C)
the third power of 6 is = 216 and the third power of 7 is 343
now 250 is between these values so this is the answer we are lookign for
PLEASE ANSWER ASAP
Events A and B are independent. The probability of event A occurring is 0.64. The probability of events A and B occurring together is 0.24.
What is the probability of event B?
Answer:
Approximately 0.51
Step-by-step explanation:
Answer: 0.375
Step-by-step explanation:
Solve for x, please show work
Here is how you solve for x:
9x - 43/ 3x + 29
1: First, you add like terms. In this case, it is 9x and 3x. 9x + 3x= 12x
2: Then, you have -43 and 29 left. -43 + 29= -14 because you do 43 - 29 and keep the sign of the larger number.
3: Lastly, we have a one-step equation left to solve: 12x-14. So, now we do this:
- divide both sides by 12.
- -14/12= 1.67
x= -1.67
Have a nice day <3
Please help!!!! 2 questions 50 points!!!!
Answer:
See below ~
Step-by-step explanation:
Question 1
The missing angles
Both the unknown angles have the same value as the other two angles in the triangles are the same∠(missing) = 180 - (72 x 2)∠(missing) = 180 - 144∠(missing) = 36°⇒ The sides are equal
⇒ Angles are not 90°
⇒ It is a rhombus
Question 2
The diagonals of the shape bisect other (Statement 1)NY = NW (given)XN = NZ (given)∠XNY = ∠WXZ (vertically opposite angles)ΔXNY ≅ ΔWXZ (SAS)They form two congruent triangles (Statement 2)From these two statements, it is evident the figure is a parallelogramBrandon knows that 2,724 x 19 = 51.756
Use this understanding to help Brandon solve 272.4 x 1.9.
Choose 1 answer.
A. 5.1756
B. 51.756
C. 517.56
D. 5,175.6
Answer:
B po sure po ako
Step-by-step explanation:
keep. learning po
x= c +42
5c + 3x= 574
what is the value of x and c
Answer:
x is 46 and c is 17
Step-by-step explanation:
1. How do you write 10.02 in fraction form?
2. How do you write 4.21 in a fraction form?
3. How do you write 0.73 in fraction form?
Thank you!!
The volume of a cuboid is 225cm³.
The length is 5cm and the width is 9cm.
Work out the height of the cuboid.
Answer:
5 cm height
Step-by-step explanation:
V = L * W * H
V / (L* W) = H = 5cm height
how many white shirts are on the shelves if there are 40 total shirts (purple and white) on the shelves
The cost of 1 purse and 1 watch is £27.
The cost of 2 purses and 1 watch is £41.
a) How much does 1 purse cost?
b) How much does 1 watch cost?
The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of 1 purse and 1 watch is £27.
The cost of 2 purses and 1 watch is £41.
Now,
Let the cost of 1 purse = x
And, The cost of watch = y
So, We can formulate;
⇒ x + y = £27 ......(i)
And, The cost of 2 purses and 1 watch is £41.
So, We can formulate;
⇒ 2x + y = £41 ..........(ii)
Subtract (i) from (ii), we get;
⇒ 2x + y - x - y = 41 - 27
⇒ x = £14
And, From equation (i), we get;
⇒ x + y = £27
⇒ £14 + y = £27
⇒ y = £27 - £14
⇒ y = £13
Thus, The cost of 1 purse will be £14.
And, The cost of 1 watch will be £13.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Please help out its only one question
Answer:
(2x + 1) (4x + 1)
Step-by-step explanation:
8x^2 + 6x + 1
2x 1
4x 1
(2x + 1) (4x + 1)
Answer:
(2x+1)(4x+1)
Step-by-step explanation:
[tex] {8x}^{2} + 6x + 1[/tex]
Step 1) Rewrite 6x as a sum:
[tex] {8x}^{2} + (4x + 2x) + 1[/tex]
Step 2) Factor out 4x:
[tex]4x(2x + 1) +( 2x + 1)[/tex]
Step 3) Factor out (2x +1):
[tex](2x + 1)(4x + 1)[/tex]
Tan^-1(-1) in radians in term of pi
Answer:
Step-by-step explanation:
Tan = - 1 occurs at 3pi/4 and 5pi/4 R
Mr. Beber feeds his dog 1/5 of a cup of dog food each day. How long will 9 cups of dog food last?
Answer:
45 days
Step-by-step explanation:
Step 1: Determine how long it will last
(9 cups) * (5 days / cup)
45 days
Answer: 45 days
52% of 1000 registered voters intend to vote for Steven Collins for mayor. Based on a 95% confidence interval, can we assume that Steven Collins will win the election if all votes are cast for either him or his opponent, Eric Camden?
A. Cannot be determined as samples cannot reliably be used to estimate population parameters
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes
C. Yes, 52% is a majority of the votes
D. No, sampling variation causes all confidence interval conclusions to be questionable.
Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
In this problem, the parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence, the bounds are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
The lower bound is below 0.5, hence option B is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
Lucia rode her bike for 1 3/8 miles on Wednesday. On Thursday she biked 7 3/8 times as far as on Wednesday. How many miles did Lucia bike on Thursday
Answer:
10 9/64
Step-by-step explanation:
To answer this, multiply '1 3/8 miles' by '7 3/8.'
The improper fraction form of '1 3/8' is 11/8, and that of 7 3/8 is 59/8.
Multiplying 11/8 by 59/8, we get 649/64, or (as a mixed number) 10 9/64