Answer:
[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]
Step-by-step explanation:
Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Put the above points in the formula.
[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]
Simplify 4/16 to the lowest terms and find equivalent fraction that has denominator of 32
The lowest fraction for the given fraction [tex]\frac{4}{16}[/tex] is [tex]\frac{1}{4}[/tex].
Also the equivalent fraction with a denominator of [tex]32[/tex] is [tex]\frac{8}{32}[/tex].
Divide the numerator and denominator by their Greatest Common Factor in order to reduce a fraction to its lowest terms. This is often referred to as fractional simplification.
Here, the GCF of [tex](4,16)=4[/tex]. Therefore divide the numerator and denominator of the fraction by [tex]4[/tex].
[tex]\frac{4/4}{16/4} = \frac{1}{4}[/tex]
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.
Here, [tex]16[/tex] times [tex]2[/tex] give [tex]32[/tex]. Now, multiply the fraction with 2 on both the numerator and denominator.
[tex]\frac{4*4}{16*4} = \frac{16}{32}[/tex]
Therefore, the lowest fraction for the specified fraction is [tex]\frac{1}{4}[/tex]. Furthermore, the equivalent fraction with the denominator [tex]32[/tex] is [tex]\frac{16}{32}[/tex].
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The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.
P= $3000, A = $3499.20
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Step-by-step explanation:
The amount A in an account after 2 years when a principal of P dollars is invested at annual interest rate r (in decimal form) compounded annually is given by A = P(1 + r). Find r.
P= $3000, A = $3499.20. Explain
r = (3499.20 - 3000) / 3000 = 0.1664
Therefore, the annual interest rate r (in decimal form) is 0.1664.
At the city park, 32% of the trees are oaks. If there are 400 trees in the park, how many trees are not oaks?
Answer:
272 trees are not oak.
Step-by-step explanation:
First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:
0.32 x 400 = 128
Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:
400 - 128 = 272 trees.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 4 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint? If not, how much more does he need?
If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
What is word problem?A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.
Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:
3/8 gallons of white paint = 6 gallons of light green
We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as
9/16 gallons of white paint = x
Divide both expressions
3/8 x 16/9 = 6/x
2/3 = 6/x
By cross multiplying
2x = 3 x 6
2x = 18
x = 18/2
x = 9
This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
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18 Tony wants to give his server a tip of 20%. He calculates that the tip is $8.50. What is the cost of Tony's meal excluding the tip?
Answer:
42
Step-by-step explanation:
8.50 x 20 and then divide by 100
I hope this helps good luck!
Find the focus of the parabola: f(x) = 1/4 (x – 3)^2 + 1
Please Help!!
The coordinates of the focus of the parabola are (3, 2)
What is the general equation of a parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -
y = a(x - h)² + k
We have the following equation of a parabola as -
f(x) = (1/4)(x - 3)² + 1
We can calculate the coordinates of the focus using the formula -
Focus : (h, k+ (1/4a))
[h] = 3
[k + (1/4a)] = 1 + (1/(4x 1/4) = 2
Therefore, the coordinates of the focus of the parabola are (3, 2)
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HELP PLEASE NEED IT THANKS
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
[tex]\frac{4(5)}{4}[/tex][tex]2(5)-3[/tex]2) Work out the sides
[tex]\frac{4(5)}{4} =5[/tex][tex]2(5)-3=7[/tex]3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
Solve this multiplication promblem.Show your work! 72x139
Answer:
10008
Step-by-step explanation:
2^3 x 3^2 x 139 = 10008
Identify the inverse g(x) of the given relation f(x) f(x)=(8,1),(4,3),(0,-1),(-4,-3)
Answer:
Step-by-step explanation:
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
When dad pulled out
the lights to hang on
the tree, he tested
them. Out of the 284
lights on the string, 6
of them were out.
What percentage of
the lights were out?
Oleaching with a Mountain View
Answer:
2.113%
Step-by-step explanation:
%out=out/total×100
6/284×100
=~2.113%
[tex]27x^{3} - 125[/tex]
I've been having trouble with this question. It's sum or differences of cubes. if you can, please send a picture or explain the steps.
Answer:im not sure
Step-by-step explanation:
a?
Answer:
Well, in order to dissect this obstreperous equation, you would require this expertly-crafted formula: Goo gle + IQ of over 70 = success.
Step-by-step explanation:
PLEEEEEASE HEEEEEELPPPP
Answer:
x≤20
Step-by-step explanation:
x+5≤25
-5. -5
x≤20
Hopes this helps please mark brainliest
Answer:
The answer is B
Step-by-step explanation:
20+5=25 and x can be greater than or equal to 25
Quick easy story and answer one easy question! help wanted 20 points! please i beg of u to help it would mean alot
QUESTION 3
Only TWO descriptions are used, one for theme 1. and one for theme 2. Match ONE description to each theme to show how the theme is developed in the story.
THEMES:
1. Friends know just what we need.
2. Sometimes life changes whether we want it to or not.
A. ::through the shared interests of the boys
B. ::through the father's promotion
C. ::through the father's advice to his son
D. ::through the gifts that the boys give each other
Question 2 (1 poing
This table shows the total shipping costs for objects of
different weights.
Shipping Costs
$6.00
$3.00
$1.50
O $1.25
Weight of Object
(in pounds)
4
8
12
16
Total Shipping Cost
(in dollars)
5
11
17
23
Based on the information in the table, by how many dollars
does the total shipping cost increase if the weight of an
object increases by 1 pound?
The total shipping cost increase by $1.50 if the weight of an
object increases by 1 pound
By how many dollars does the total shipping cost increase if the weight increases by 1 pound?
A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.
rate of change = change in total shipping cost / change in weight
Using the information in the table:
rate of change = 11-5 / 8-4 = 6/4 = 1.5
Therefore, the total shipping cost increase by $1.50 if the weight of an
object increases by 1 pound. Option c. is the answer
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Which of these is the most reasonable estimate for how many more hours Mina spent playing the piano last week than Ling? O between 1 and 2 hours O between 2 and 2 hours O between 2 and 3 hours O between 3 and 3 hours
Answer: between 2 and 3 hours
Step-by-step explanation:
Easiest method is to convert mixed fractions to decimals:
1-2/3 = 1.67
4-3/10 = 4.3
Ming hrs - Ling hrs = 4.3 - 1.67 = 2.63 hrs
2 < 2.63 < 3
Maleka charges $8 per hour for babysitting. The amount of money she makes varies directly with the number of hours she babysits. Write a direct variation equation for the amount Maleka earns for babysitting hours. Then graph.
Answer:
[tex]y = 8x[/tex], where y = the total cost and x = amount of hours.
During her most recent check-up, Estefania’s doctor told her that she is 150.2 centimeters tall. Her doctor also told her that has grown 8.7 centimeters taller since her previous visit. How tall, in centimeters, was Estefania during her previous visit?
the answer is 21
according to my calculations 9+10= 21
15 points Find the unknown side length. Round to the nearest tenth. Enter your answer in the box
Answer: 24.5
Step-by-step explanation:
(-4, 2) and (12, 6)?
16. Which TWO equations represent the line that passes through the points
Answer:
Step-by-step explanation:
is 31.43 a integer ?
pla hrlp with this question
Answer: A
Step-by-step explanation:
4 1/2 is the same thing as 4.5
2 3/4 is the same thing as 2.75
4.5 - 2.75 = 1.75 = 1 3/4
Answer:
1 3/4
Step-by-step explanation:
Algebra (Comparing Two Linear Functions)
The equation that represent each situation, in terms of x, is
A = 19 + 0.50xB = 13 + 1.50xThe number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.
How to write and solve equation?Let
Monthly cost of plan A = AMonthly cost of plan B = BNumber of monthly movies watched = xPlan A:
A = 19 + 0.50x
Plan B:
B = 13 + 1.50x
Equate A and B
19 + 0.50x = 13 + 1.50x
collect like terms
19 - 13 = 1.50x - 0.50x
6 = x
Hence,
x = 6 movies
In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.
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c. Mr. Wilkins is laying bricks to make a
rectangular patio. The
area he is covering with bricks is 15 1/2 feet by 9 3/4 feet. What
is the area of the patio?
Answer:
151 1/8
Step-by-step explanation:
15 1/2: 31/2 9 3/4: 39/4
31/2 X 39/4= 1209/8
1209/8= 151 1/8
Find the x-intercept of the line 7x+7y= – 1.
Answer:
(-1/7 ; 0)
Step-by-step explanation:
the line intercepts the x axis when y = 0
7x + 0 = -1
7x = - 1
7/7 x = -1/7
x = -1/7
Answer:
The x intercept is -1/7
( -1/7 , 0)
Step-by-step explanation:
To find the x intercept, set y =0 and solve for x
7x+7y = -1
y =0
7x+7(0) = -1
7x +0 = -1
7x = -1
Divide by 7
7x/7 = -1/7
x = -1/7
The x intercept is -1/7
( -1/7 , 0)
Fast Please
Jack studies 3 and a half hours each night. If Jack wants to calculate how many total hours he studies, what equation should he use for the proportional relationship?
The equation of the total number of hours that Jack could use is t = 3.5n
How to determine the equation of the total number of hours?From the question, we have the following parameters that can be used in our computation:
Number of hours of study each night = 3 and a half hours
To start with, we need to represent the given parameter using numbers (fractions or decimal)
Using decimals, we have the following representation
Number of hours of study each night = 3.5 hours
Represent the number of nights as follows
Number of nights = n
Represent the total number of hours as follows
Total number of hours = t
So, we have the following equation
Total number of hours = Number of nights * Number of hours of study each night
Substitute the known values in the above equation, so, we have the following representation
t = 3.5 * n
Evaluate
t = 3.5n
Hence, the equation is t = 3.5n
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Answer: y=3.5x
Step-by-step explanation:
what is the value of 8.4n-3.2p when n=2 and p=4
Answer:
your answer is 4
Step-by-step explanation:
8.4(2)-3.2(4)=4
Answer: 4
Step-by-step explanation:
Equation: 8.4n - 3.2p
1. Substitute the variables with the given numbers
8.4(2) - 3.2(4)
2. Solve 8.4 × 2
16.8 - 3.2(4)
3. Solve 3.2 × 4
16.8 - 12.8
4. Solve
16.8 - 12.8 = 4
If cos of Ф = 2/5, find sin Ф/2 and cos Ф/2. Assume the angles are in the 1st quartile
The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.
What are the exact values of two trigonometric functions?
Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:
cos 0.5Ф > 0, sin 0.5Ф > 0
sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]
cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]
First, replace the values of the cosine of the half angle:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
cos 0.5Ф = √[(1 + 2 / 5) / 2]
Second, simplify the resulting expression:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
sin 0.5Ф = √[(3 / 5) / 2]
sin 0.5Ф = √(3 / 10)
cos 0.5Ф = √[(1 + 2 / 5) / 2]
cos 0.5Ф = √[(7 / 5) / 2]
cos 0.5Ф = √(7 / 10)
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Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1
The area of the shaded region is ——?
Round to four decimal places as needed
The required area of the shaded region is 0.8339 in the given shown graph.
The area of the shaded region in a standard normal distribution represents the probability of a certain range of values occurring.
As per the question, the shaded region represents the area to the left of the value z = -0.97.
To find the area of the shaded region, we can use the standard normal distribution table, which gives the probability of a value occurring within a certain range of the mean.
In this case, we would look up the probability of a value less than or equal to -0.97 occurring.
According to the standard normal distribution table, the area to the left of z=-0.97 is 0.8339. This means that the shaded region has an area of 0.8339.
Therefore, the area of the shaded region would be 0.8339.
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Each cement block is 4 centimeters thick and each clay block is 6 centimeters thick. Mike
made a stack of 17 blocks that was 82 centimeters thick. How many of each type of block did
Mike use?
Answer:
Step-by-step explanation:
heheh
A house on the market was valued at $402,000. After several years, the value increased by 17%. By how much did the house’s value increase in dollars? What is the current value of the house?
The market value of house increased by $68,340 and the current value of the house is $470,340.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The market value of house before several years =$402,000
Also, the value of house increased by 17%.
The rise in value of house = 402,000 x 17/100
= 68340
The value of house increased by $68,340.
The current value of house = 402,000 + 68340 = 470340
The current value of house is $470,340.
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