Answer:
[tex]=\left(\frac{15}{2},\:\frac{5}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\[/tex]
In 25 years, a bond that paid 4.75% simple interest earned $4,750 interest. What was the principal of the bond in dollars?
Answer:
$ 4000Step-by-step explanation:
Given,
Rate ( R ) = 4.75 %
Time ( T ) = 25 years
Simple Interest ( I ) = $ 4,750
Principal ( P ) = ?
Finding the principal
We know that,
[tex] \boxed{ \sf{principal = \frac{interest \: \times 100}{ \: time \: \times \: rate} }}[/tex]
plug the values
⇒[tex] \sf{ \frac{4750 \times 100}{4.75 \times 25} }[/tex]
Calculate
⇒[tex] \sf{\frac{475000}{118.75} }[/tex]
⇒$ [tex] \sf{4000}[/tex]
Hope I helped!
Best regards!!
Answer:
2000
Step-by-step explanation:
set up a skeletal profit and loss statement in boss dollars and percentage if your year-end profit is 7800, the profit percentage is 3.9%, and the yearly cost of your goods sold is 120000
ne s o
Step-by-step explanation:
Write an equation in slope-intercept form for the line described. Slope 4, passes through (6,9)
Answer:
y= 4x -15
Step-by-step explanation:
Please see attached picture for full solution.
How do I find the exact angle for b?
Answer:
107° 30'
Step-by-step explanation:
As in part (a), the hour hand moves 30° per hour, so at 1:25, it has moved ...
(1 25/60)(30°) = 42.5°
from the vertical at noon.
Similarly, the minute hand moves 6° per minute, so at 1:25, it has moved ...
(25)(6°) = 150° from the vertical at 1 o'clock.
The exact angle difference is ...
150° -42.5° = 107.5° = 107° 30'
Seven less than the product of 8 and a number is equal to 5.
Answer:
8n - 7 = 5
Step-by-step explanation:
number - n
product of 8 and a number - 8n
Seven less than the product of 8 and a number - 8n - 7.
Seven less than the product of 8 and a number is equal to 5.
8n - 7 = 5
Answer:
8n-7=5
you can do this
i cand do explaination
Type the correct answer in the box. The motion of a clock pendulum is modeled by this graph. The function describing this graph is a transformation of the parent cosine function, y = cos x . Find the range, period, and maximum of the transformed function, D(t).
Answer:
The range of the function is -10, 10.
The period of the function is 1.2 seconds.
The maximum of the function is 10 centimeters.
Step-by-step explanation:
The range of a cosine function is the set of output values. In this situation, the range is the distance the pendulum covers, which is represented on the D(t) axis. The graph shows that the range of the function D(t) is [-10, 10].
The period is the length of a cycle. The graph shows that the cycle repeats every 1.2 seconds.
The maximum is the y-value of the highest point on the graph. The graph shows the maximum of the function is 10 centimeters.
(-9,-13) , [7 1/2, 3 1/2], (5,1), (4,0), (0,__)
what is the next number?
Answer:
56
Step-by-step explanation:
Use the diagram to find the angle measures of the triangle. Recall that the sum of the angle measures of a triangle is 180°
x°=
(x+5)°=
5X°=
Answer:
[tex] \boxed{ \bold{ \sf{x = 25°}}}[/tex]
[tex] \boxed{ \bold{ \sf{(x + 5) = 30°}}}[/tex]
[tex] \boxed{ \bold{ \sf{5x = 125°}}}[/tex]
Step-by-step explanation:
We know that sum of angle of triangle adds up to 180°
Finding the value of x
[tex] \sf{5x + x + x + 5 = 180°}[/tex]
Collect like terms
⇒[tex] \sf{7x + 5 = 180}[/tex]
Move 5 to right hand side and change its sign
⇒[tex] \sf{7x = 180 - 5}[/tex]
Subtract 5 from 180
⇒[tex] \sf{7x = 175}[/tex]
Divide both sides of the equation by 7
⇒[tex] \sf{ \frac{7x}{7} = \frac{175}{7} }[/tex]
Calculate
⇒[tex] \sf{x = 25°}[/tex]
Finding the value of ( x + 5 )°
[tex] \sf{x + 5}[/tex]
plug the value of x
⇒[tex] \sf{25 + 5}[/tex]
Add the numbers
⇒[tex] \sf{30°}[/tex]
Finding the value of 5x
[tex] \sf{5 \times 25}[/tex]
Multiply the numbers
⇒[tex] \sf{125°}[/tex]
Hope I helped!
Best regards!!
Answer:
x° = 25°
(x + 5)° = 30°
5x° = 125°
Step-by-step explanation:
total angle inside the triangle = 180 = x + (x+5) + 5x
180 = x + x + 5 + 5x
group like terms
7x + 5 = 180
subtract 5 each sides
7x = 175
x = 175/7
x = 25°
solve for : (x + 5)°
(x + 5)° = 25 + 5
(x + 5)° = 30°
solve for 5x°
5x° = 5 * 25
5x° = 125
check
180 = x + (x+5) + 5x
180 = 25 + (25+5) + (5*25)
180 = 25 + 30 + 125
180 = 180
If m∠NLO = 41° and m∠NLM = 88°, what is m∠OLM? 47° 44° 129° 23°
Answer:
∠ OLM = 47°
Step-by-step explanation:
Given:
∠ NLO = 41°
∠ NLM = 88°
Find:
∠ OLM
Computation:
⇒ ∠ NLM = ∠ NLO + ∠ OLM
⇒ 88° = 41° + ∠ OLM
⇒ ∠ OLM = 88° - 41°
⇒ ∠ OLM = 47°
Answer:
47
Step-by-step explanation:
Mr. Hobbs has 10 blue markers, 6 black markers, and 8 red markers
on his desk. What fraction of black markers can be found on Mr.
Hobbs' desk? thats the question if you could answer that that'd be great.
Answer: 1/4
Step-by-step explanation:
If there are 6 black markers and they are a total combination of 24 difference colored markers.
The the fraction will be 6/24 which reduces to 1/4
solve for x
pleaseee answer and explain <333
Hello! :)
Answer:
[tex]\huge\boxed{x = (\frac{b}{a})(P+c)}[/tex]
[tex]\frac{a}{b}x - c = P[/tex]
Solve for x:
Begin isolating the variable by adding "c" to both sides:
[tex]\frac{a}{b}x - c + c= P + c[/tex]
[tex]\frac{a}{b}x = P+ c[/tex]
Divide both sides by a/b, or multiply by the reciprocal (b/a)
[tex](\frac{b}{a}) \frac{a}{b}x = (\frac{b}{a})(P + c)[/tex]
Therefore:
[tex]x = (\frac{b}{a})(P + c)[/tex]
3 to the power of negative 2 is equivalent to what 1/9 1/6 -6 -9
Answer:
1/9
Step-by-step explanation:
You have 3 to the power of -2.You must take that and turn it into 1/3 to the power of 2, so now the exponent is no longer negative and therefore can be solved.After solving the exponent, you are left with 1/9 as your answer.Round to the nearest eurocent per kilo
Answer:
2 eurocent per kilo
Step-by-step explanation:
Since we are already given the conversion units, we only simply need to divide/multiply and cancel out units.
Dollars and dollars cancel out.
We are left with eurocent.
Pounds and pounds cancel out.
We are left with kilograms.
We do want eurocent over kilograms.
0.89(0.93) = 0.8277/0.4536 = 1.82474
Since we want to round it to the nearest cent, we round up because 8 ≥ 5:
1.82474 ≈ 2
Solve for m.
5m + 3m - 8 = 64
a m = 9
b m = 2
c m = -2
d m = 5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}[/tex]
Option A is the correct option
Step-by-step explanation:
[tex] \sf{5m + 3m - 8 = 64}[/tex]
Collect like terms
⇒[tex] \sf{8m - 8 = 64}[/tex]
Move 8 to right hand side and change it's sign
⇒[tex] \sf{8m = 64 + 8}[/tex]
Add the numbers
⇒[tex] \sf{8m = 72}[/tex]
Divide both sides of the equation by 8
⇒[tex] \sf{ \frac{8m}{8} = \frac{72}{8} }[/tex]
Calculate
⇒[tex] \sf{m = 9}[/tex]
Hope I helped!
Best regards!!
Answer:
[tex]\Huge \boxed{m=9}[/tex]
Step-by-step explanation:
[tex]5m + 3m - 8 = 64[/tex]
Combining like terms.
[tex]8m - 8 = 64[/tex]
Adding 8 to both sides.
[tex]8m=72[/tex]
Dividing both sides by 8.
[tex]m=9[/tex]
Which number line can you use to simplify 2 + (–8)?
Answer:
D
Step-by-step explanation:
The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,
Answer:
[tex]\Huge \boxed{\mathrm{D}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2 + ( -8 )
2 is on the number line.
When -8 is added to 2, the value decreases, and it moves 8 units to the left side.
The result is -6.
[tex]\rule[225]{225}{2}[/tex]
Pls help me with this!!!
Answer:
30.39in^2 (^2 means squared)
Step-by-step explanation:
3 x 3 = 9in^2
3.1 x 6.9 =21.39in^2
9 + 21.39 = 30.39in^2
six times a number x squared
Answer:
6x^2
Step-by-step explanation:
Because we are multiplying 6 and a number x squared, we know that x will have an exponent of 2. Then, multiplying that by 6 and using conventional algebraic techniques, we can combine the two terms together.
6 * x^2
6x^2
Answer:
[tex]\displaystyle \rm \longmapsto 6 \times x {}^{2} [/tex]
[tex]\displaystyle \rm \longmapsto {6x}^{2} [/tex]
If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x+15), and m cdf= 43, find each measure.
Answer:
GDE = 63
EDH = 63
GDH = 126
FDG = 74
FDH = 200
FDE = 137
Step-by-step explanation:
It is stated that DE bisects <GDH. Since bisecting means halving into equal parts, <GDE = <EDH
from the question,
<GDE = (8x-1)
<EDH = (6x+15)
Since <GDE = <EDH,
(8x-1) = (6x+15), if we collect like terms
8x - 6x = 15 + 1
2x = 16
x = 8°
Again, from the diagram, we see that
<GDH = <GDE + <EDH, thus
<GDH = (8x-1) + (6x+15)
<GDH = 8x -1 + 6x + 15
<GDH = 14x + 14, substitute for x
<GDH = 14*7 + 14
<GDH = 112 + 14
<GDH = 126°
<FDG = 180 - <CDF - <GDE
<FDG = 180 - 43 - 63
<FDG = 74°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDH = 74 + 126
<FDH = 200°
<FDE = <FDG + <GDE
<FDE = 74 + 63
<FDE = 137°
The measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.
The straight angle ∠CDE, DE bisects GDH, m∠GDE=(8x-1)°, m∠EDH=(6x+15)° and m∠CDF=43°.
Here, m∠GDE+m∠EDH+m∠CDF = 180°
So, (8x-1)°+(6x+15)°+43°=180°
14x+57°=180°
14x=180°-57°
14x=123
x=123/14
x=8.8°
m∠GDE=8x-1
= 71.4°
m∠EDH= 65.6°
Hence, the measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.
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Find the value of x. Round your answer to the nearest tenth.
x
10
Blank 1:
Answer:
12.2
Step-by-step explanation:
By Pythagoras theorem:
[tex] {x}^{2} = {10}^{2} + {7}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149} \\ x = 12.2065556 \\ x \approx \: 12.2[/tex]
In the equation A = bh,
СС
what does each of the
variables stand for?
Answer:
A= Area
B= Base of the figure
H= Height of the figure
B and H are multiplied together to find the area
Step-by-step explanation:
Suppose that a factory worker turns 62 years old and retires from her job. Which statistic is not affected
Answer:
The question is not complete, below is the complete question:
Suppose that a factory worker turns 62 years old and retires from her job. Which statistic is not affected? A. number of unemployed B. unemployment rate C. labor force D. labor-force participation rate
Answer:
The correct andwer is:
number of unemployed (A.)
Step-by-step explanation:
The terms highlighted in the options of the question refer to terms associated with the labour force of an economy. Let us take a look at each of them and justify why we chose the option A
1. Number of unemployed: The number of unemployed in an economy refers to the number of people who are without employement, while actively searching for employment, willing to work and have actively sought for employment in the past four weeks. In this example, a factory worker retiring at 62 is not actively looking for work anymore, hence this transition does not affect the number of unemployed individuals in an economy
2. unemployment rate: The unemployment rate refers to the percentage of labor force that is jobless. Mathematically, it is represented as:
[tex]Unemployment\ rate\ =\ \frac{umemployed}{Labour\ force} \times\ 100[/tex]
In this example, a factory worker retiring at 62, reduces the labor force (number fit to work) in a population, and since the unemployment rate is in turn affected by the labour force (inversely), the unemployment rte is affected by the retiring of the factory worker
3. Labor force: The labor force in an economy are all the individuals who are fit and able to work. It inclues all those who are actively employed and those who are unemployed. A retired factory worker is not part of the labor force, because retirement age disqualifies him/her from being fit to work, hence the retirement reduces the labor force.
4. Labor-force participation rate: This is the coolective numbere of civilians or non-institutional people 16 years or older, who are working or actively looking for work. Retirement reduces the labor-force participation rate
The tallest man in medical history was Robert Wadlow. He was 12 4/5times as tall as he appears in a Book of Reords photograph. He is 7 1/2 inches tall in the photograph. How tall was Robert Wadlow?
please help// geometry question pt.3
Answer:
Last one - CD with a line over it with arrowheads.
Step-by-step explanation:
Last one - CD with a line over it with arrowheads.
Two brown and 8 red birds are flying. What is the probability that two brown sit together?
The probability that two brown sit together is 0.2.
What is the meaning of arrangements?
the act of putting things in order
Here, it is given that ;
there are Two brown and 8 red birds.
Total number of ways 10 distinct birds can sit = 10!
Now,
When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :
¹⁰C₂ = 10!/ (2! x 8!)
¹⁰C₂ = 45 ways
Now, consider two brown birds as one bird then the number of arrangement will be :
⁹C₁ = 9!/1! = 9
The probability that two brown sit together will be :
9/45 = 0.2
Therefore, the probability that two brown sit together is 0.2.
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In a behavioral field study, my colleagues and I found that teams of three
students exercised more than everyone else in the study.
True
False
Answer:
False
Step-by-step explanation:
The given statement is false because behavioral field study deals with the cognitive processes during field study or task.
In the given statement only the physical strength of the students is measured while behavioral field study measures or explores human behavior and how or what techniques are students using to perform the field task.
Hence, the correct option is "False".
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→1 3x x − 1 − 3 ln(x)
Answer:
3/2Step-by-step explanation:
Given the limit of a function expressed as [tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})[/tex], we are to evaluate it. To evaluate it, we will simply substitute x = 1 into the function since the variable x tends to 1.
[tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= (\dfrac{3(1)}{1-1} - \dfrac{3}{ln1})\\\\= \dfrac{3}{0} - \dfrac{3}{0}\\\\= \infty - \infty (ind)[/tex]
Since we got an indeterminate function, we will find the LCM of the function and solve again.
[tex]= \lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= \lim_{x \to 1} \dfrac{3xlnx-3(x-1)}{(x-1)lnx}\\\\\\= \dfrac{3(1)ln(1)-3(1-1)}{(1-1)ln1}\\\\= \frac{3(0)-3(0)}{0(0)} \\\\= \frac{0}{0} (ind)[/tex]
Applying L'hospital rule;
[tex]\frac{x}{y} = \lim_{x \to 1} \dfrac{d/dx(3xlnx-3(x-1))}{d/dx((x-1)lnx)}\\\\= \lim_{x \to 1} \dfrac{3x(\frac{1}{x})+ 3lnx-3)}{(x-1)\frac{1}{x} +lnx}\\\\= \lim_{x \to 1} \dfrac{3 + 3lnx-3}{(x-1)\frac{1}{x} +lnx}\\\\= \frac{3ln1}{(1-1)\frac{1}{1} +ln1}\\\\= \frac{0}{0} (ind)[/tex]
Applying L'hospital rule again;
[tex]= \lim_{x \to 1} \dfrac{\frac{d}{dx} (3lnx)}{\frac{d}{dx} ((x-1)\frac{1}{x} +lnx)}\\\\= \lim_{x \to 1} \dfrac{\frac{3}{x} }{(x-1)\frac{-1}{x^2} + \frac{1}{x} +\frac{1}{x} }\\\\= \dfrac{\frac{3}{1} }{(1-1)\frac{-1}{1^2} + \frac{1}{1} +\frac{1}{1} }\\\\= \frac{3}{0(-1)+2}\\ \\= \frac{3}{2-0}\\ \\= 3/2[/tex]
Hence the limit of the function is 3/2.
-5, 4, -26, -48, 12 least to greatest
Answer:
hey!
Your answer is ...
-48 , -26 , -5 , 4 , `12
Step-by-step explanation:
HOPE THIS HELPED!
:)
please help me. Brainiest to the first answer person
Answer:
0.3 or 30%
Step-by-step explanation:
Blue = 1/10
Red = 2 white
**************
White + red = 1 - 1/10
White +2white= 9/10
White = 3/10
Red = 6/10
So probability of white ball is 3/10 or 30%
HELP HURRY!!!! Simplify. 15÷(2+3) Enter your answer in the box.
Answer:
It's equal =3
Prove the following using a direct proof:
The sum of the squares of 4 consecutive integers is an even integer.
It is proven that "the sum of the squares of four consecutive integers is an even integer" is the solution part.
To prove that the sum of the squares of four consecutive integers is an even integer, we need to show that it can be expressed as twice another integer.
Let's assume the four consecutive integers are n, n+1, n+2, and n+3.
The sum of their squares can be expressed as:
[tex]n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2[/tex]
Expanding the squares, we have:
[tex]n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9)[/tex]
Combining like terms, we simplify this expression to:
[tex]4n^2 + 12n + 14[/tex]
Now, let's consider this expression [tex]4n^2 + 12n + 14[/tex].
We can factor out 2 from each term, resulting in:
[tex]2(2n^2 + 6n + 7)[/tex]
Since [tex]2n^2 + 6n + 7[/tex] is an integer, let's denote it as k, where k is an integer.
Therefore, the expression becomes:
2k.
We have successfully expressed the sum of the squares of four consecutive integers as twice another integer (2k), which proves that it is an even integer.
Hence, the sum of the squares of four consecutive integers is an even integer.
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