Answer:
3.75
Step-by-step explanation:
Answer: 3.34
REEEEEEEEEEEEEEEEEEEEEEEEE
Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.
Answer:
[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
-6x +7y= -62
Rewriting this equation into the slope-intercept form:
7y= 6x -62
[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]
The product of the slope of 2 perpendicular lines is -1.
Let the slope of the unknown line be m.
[tex]m( \frac{6}{7} ) = - 1[/tex]
[tex]m = - 1 \div \frac{6}{7} [/tex]
[tex]m = - \frac{7}{6} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{7}{6} x + c[/tex]
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= -3,
[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]
[tex] - 3 = - \frac{28}{3} + c[/tex]
[tex]c = \frac{28}{3} - 3[/tex]
[tex]c = \frac{19}{3} [/tex]
[tex]c = 6 \frac{1}{3} [/tex]
Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].
Add: 34.05 + 9.068
Thank you in advance
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Step-by-step explanation:
is it like this ? no diagrams ?
squared root of -100 = ____ + ____^i
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.
The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
To learn more on trigonometric relations, we kindly invite to check this verified question: https://brainly.com/question/6904750
First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.
The simple interest earned is $17,000.
The interest earned with annual compounding is $25,978.13.
The interest earned with quarterly compounding is $26,583.59.
The interest earned with monthly compounding is $26,722.72.
The formula that can be used to determine simple interest is: principal x time x interest rate
$20,000 x 20 x 0.0425 = $17,000
The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.
The formula that can be used to determine future value is:
FV = P (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Annual compounding = $20,000 x (1.0425)^20 = $45,978.13
Interest earned = $45,978.13 - $20,000 = $25,978.13
Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59
Interest earned = $46,583.59 - $20,000 = $26,583.59
Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72
Interest earned = $46,722.72 - $20,000 = $26,722.72
To learn more about future value, please check: https://brainly.com/question/18760477
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
The following system of linear equations is solved by graphing them on the coordinate plane.
y=3x−2y=−35x−1
Which ordered pair is the best approximation of the solution to the system?
(0,−1)
(−1,0)
(−1,−1)
(1,1)
Math lol
Answer:
(0, -1)
Step-by-step explanation:
Maybe you're graphing ...
y = 3x -2y = -3/5x -1These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).
In a class of 50 students, suppose 27 are right-handed, 9 are left-handed, and 14 are ambidextrous. All but 2 of the left-handed are also left-foot dominate. If one student is randomly selected from the class. find the probability of choosing a left-handed student who is right-foot dominate
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
Is the sum of 3/5 and v13 a rational or Irrational number
Answer:
The sum of 3/5 and Square root of 13 is irrational. Since square root of 13 is irrational. And when you add it gives u irrational.
The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.
Based on the information given the tax rate if the house was valued at $100,000 is 60%.
Let $600= x%
Let $100,000=100%
Let the tax rate=x
Proportion:
600/100,000=x/100
Hence,
x=600×100/100,000
x=60,000/100,000
x=60/100
x=0.6%×100
x=60%
Inconclusion the tax rate if the house was valued at $100,000 is 60%.
Learn more about tax rate here:https://brainly.com/question/9437038
The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
What is property tax?The property tax is the levy imposed on the assessed value of the property of an individual or corporation.
Property tax is usually levied as a percentage of the assessed value.
Data and Calculations:Property tax = $600
House value - $100,000
Tax rate = 0.6% ($600/$100,000 x 100)
Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
Learn more about property tax at https://brainly.com/question/5428406
what is the value of the 6 in 26,249?
Answer:
what is the value of the 6 in 26,249?
answer:321305
Step-by-step explanation:
Which shows two triangles that are congruent by AAS
Answer:
answer A is the correct option.
Step-by-step explanation:
The triangles ( A ) are congruent by AAS theorem
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔABD
Now , AB is the common side of both the triangles
And , measure of ∠ACB = measure of ∠ADB
And , the measure of ∠ABC = measure of ∠ABD = 90°
So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent
To learn more about congruent triangles click :
https://brainly.com/question/26131452
#SPJ5
Does (–1, 2) make the equation y = x + 9 true?
Answer:
(-1, 2) does not make the equation y=x+9 true.
Step-by-step explanation:
y=x+9
(-1, 2)=(x, y)
2=(-1)+9,
-1+9=8,
2 does not equal to 8.
Answer: No.
152 feet in 16 seconds
Answer:
I'm not sure what you're asking but that is 9.5 feet per second.
Step-by-step explanation:
152÷16=9.5
Answer:
if you are asking about the unit rate it is 9.5 feet per second
Step-by-step explanation:
You just have to do 152/16
hope this helps
HELPPPPP please its worth 50
[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]
Answer:
[tex]54 {m}^{19} {n}^{10} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Solution given:
[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]
distribute power
[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]
[tex]27m^{18}n^6.2mn⁴[/tex]
multiply like terms and add or subtract power in multiplication
[tex]27*2.m^{18+1}n^{6+4}[/tex]
[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer
Suppose you have 57 coins in a jar consisting entirely of dimes and quarters, worth a total of $10.65. How many dimes are in the jar?
Answer:
24
Step-by-step explanation:
Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...
10d +25(57 -d) = 1065
-15d +1425 = 1065 . . . . . . simplify
-15d = -360 . . . . . . . . . . subtract 1425
d = -360/-15 = 24 . . . divide by the coefficient of d
There are 24 dimes in the jar.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign
each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The
first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth
group has six hours of screen time,
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group
experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses random sampling
This study uses a control group.
ооо
This study uses blocking.
This study uses a repeated measures design.
The statements that are true about this study are:
This study uses random sampling. This study uses a control group. This study uses a repeated measures design. Random sampling occurs when each sample has an equal probability of being chosen in a study.
This is seen in the random selection of 100 children. The Control group was used with the first group that had no screen time.
The repeated measures design was also used when multiple measurements were taken during different weeks.
Learn more about experiments here:
https://brainly.com/question/17216882
Directions: Given the point and slope, write the equation of the line. 3. (1,-7); slope = -1
Answer:
y=-1x-6
Step-by-step explanation:
A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?
Answer:
Length = 24
Step-by-step explanation:
It says, " Both the length and width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.
lol Looks like someone has the same math assignment as me
PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]
Answer:
(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)
Step-by-step explanation:
William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?
Answer:
$198.72
Step-by-step explanation:
7 students have 8 books each. Which helps you find the total number of books?
7 × 8
7 + 8
7 ÷ 8
7 - 8
Answer:
7 × 8
Step-by-step explanation:
7 number of students × 8 books each student has 7 × 8 = 56
Josh drives 504 miles in 8 hours. At the same rate, how many miles would he drive in 5 hours?
Answer:
315 miles
Step-by-step explanation:
The unit rate is 63 miles per hour, and 63×5=315 miles.
[tex]\begin{array}{ccll} miles&hrs\\ \cline{1-2} 504&8\\ x&5 \end{array}\implies \cfrac{504}{x}=\cfrac{8}{5}\implies 2520=8x\implies \cfrac{2520}{8}=x\implies 315=x[/tex]
2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.
A. His puppy
Inches or Yards
B. A toy car
Yards or Centimeters
C. Width of his desk
Yards or Feet
D. His foot
Inches or Yards
(4x 2 − 2x + 10) + (−2x 2 + 4x − 2)
Answer:
2x²+2x+8
Step-by-step explanation:
4x²-2x+10-2x²+4x-2
=4x²-2x²-2x+4x+10-2
=2x²+2x+8
Helpp! Part B- What is the equation of the line representing the cost of regular yogurt?
Part C- Lucia’s purchases 32 ounces of the less expensive yogurt. How much does the yogurt cost?
Answer:
10 to 1
Step-by-step explanation:
if 0 went to up there 10 you'd have to
If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
