Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]
[tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]
[tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]
[tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]
[tex]=6\sqrt{5}[/tex]
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]
[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]
Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
Please help! Evaluate y = (x + 3)(x – 2) at x = r1 and then at x = r2. Show your work below.
The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively
How to evaluate the function?The function is given as:
y = (x +3)(x - 2)
When x = 1, we have:
y = (1 +3)(1 - 2)
y = -4
When x = 2, we have:
y = (2 +3)(2 - 2)
y = 0
Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively
Read more about quadratic functions at:
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What is the value of x?
Answer:
a) 20
Step-by-step explanation:
90 - 46 = 44
44 - 4 = 40
40/2 = 20
Part B
Morgan said that the difference between the heaviest loaf of bread and the lightest loaf of bread is 1 1/2 ounces. Do you agree with Morgan? Explain
also this is worth 35 points pls help!!
Answer:
Morgan is incorrect because 24 1/2- 22 3/4=1 3/4
Step-by-step explanation:
24 ¹/²- 22 ³/⁴=1 ³/⁴
The scale factor of a model car to the actual car is 300. If the model car is 2in tall, how tall is the actual car?
Answer:
600 inches or 50 feet
Step-by-step explanation:
Scale factor = model car : actual car = 1 : 300
We have a 2 inch model car.
2 in. : actual = 1 : 300actual = 2 × 300actual = 600 inches or 600/12 = 50 feetFind the surface area of a cylinder with a base radius of 5 cm and a height of 8 cm.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit.
Answer:
408.40704
Step-by-step explanation:
How many integers from 1 to 100 have a factor of 3?
Answer: 33 integers
Step-by-step explanation:
The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.
I hope this helps!
Out of 270 students in 6th grade, only 60% are going on the field trip. How many students are NOT going on the field trip
Step-by-step explanation: answer: 108
270
[tex]270 \times \frac{60}{100} [/tex]
[tex]27 \times 6 = 162[/tex]
270=60%
60% =162
40% = not going
270 students - 60% 162= 108
→108 students are not going
Answer:
270 students - 60% 162= 108
Step-by-step explanation:
what is 4,649 divided by 39
Answer:
[tex]4649 \div 39 = 119.205128295[/tex]
Step-by-step explanation:
I hope it's help u
Answer:
119 R 8
Step-by-step explanation:
convert 4649 to tens place, write 1
46 - 39 = 7
drop the 4 in the tens place, write 1
74 - 39 = 35
drop the 9 in the ones place, write 9
359 - 351 = 8
• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.
• We got the remainder by the general subtraction.
Solve for -5v+6 = -12v+62 Simplify your answer as much as possible.
Hey there!
Answer :[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]
[tex] \\ [/tex]
Explanation:-5v + 6 = -12v + 62
[tex] \\ [/tex]
▪️Subtract 6 from both sides :
-5v + 6 - 6 = -12v + 62 - 6
-5v = -12v + 56
▪️Add 12v to each side :
-5v + 12v = -12v + 56 + 12v
7v = 56
▪️ Divide both sides by 7 :
7v / 7 = 56 / 7
v = 8
[tex] \\ [/tex]
Therefore, our answer is v = 8.
[tex] \\ [/tex]
▪️ Learn more about solving equations:
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↣https://brainly.com/question/27597890
Answer:
v = 8
Step-by-step explanation:
Hello!
We can solve the equation by moving all terms of V to one side, and all integer values to the other.
Solve-5v + 6 = -12v + 62-5v + 6 + 12v = -12v + 62 + 12v7v + 6 = 627v + 6 - 6 = 62 - 67v = 56v = 56/7v = 8The value of v is 8.
We can plug back 8 into the original to check our answer:
-5(8) + 6 = -12(8) + 62-40 + 6 = -96 + 62-34 = -34Since both sides match, the solution of v = 8 is correct.
Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)
Answer:
the slope is [tex]\frac{10}{21}[/tex]
Step-by-step explanation:
slope formula for linear equations:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex] [tex]= \frac{10}{21}[/tex]
last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].
Hey there!
x^2 – y
= 4^2 – 2
= 4 * 4 - 2
= 16 - 2
= 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
This is had can you help me
Answer:
#9 is 6 #10 is 1 #11 is 7 #12 is 6
Step-by-step explanation:
In which data set does the range have the greatest spread?
A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23
Answer:
D (8, 11, 13, 13,17,20,23)
Step-by-step explanation:
I did this and got it correct.
4. For v = -2i – 7j, find the unit vector in the direction of y, and write your answer as a linear combination of the standard unit vectors i and j
5. Find u•v if u = i + 2j and v = -i + 5j.
4. If v = -2i - 7j, then its magnitude is
||v|| = √((-2)² + (-7)²) = √53
and the unit vector in the direction of v is
[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]
5. Given u = i + 2j and v = -i + 5j, we have
u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)
Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to
u • v = -1 - 0 + 0 + 10 = 9
A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%, how many dollars is the sale price of the car
If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.
The cost after 15% off will be
→ 0.85 × $8,900
→ $ 7,565
Then the final cost after the sale tax of 8.25% will be
Cost = $ 7,565 × 1.0825
Cost = $ 8,189.11
More about the percentage link is given below.
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A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.
Answer:
313°
Step-by-step explanation:
The reference angle (α) can be found using the tangent relation:
Tan = Opposite/Adjacent
__
In this problem, that means ...
tan(α) = 78/83
α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis
The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.
bearing = 270° +43° = 313°
A carton of half & half costs $.98 for 4 cups. What is the cost per cup?
Answer:
$00.245
Step-by-step explanation:
.98/4=00.245
please mark brainliest
need help on my aleks chapter 5 lesson 3
Answer:
65º
Step-by-step explanation:
Angles in a triangle add to 180º so:
180- 44 - 71 = 180 - 115 = 65º
find the value of 7x+2y when x=2 and y=-9
Answer:
32
Step-by-step explanation:
7×18+2×18=32
x=14
y=18
Have a great day!
The sun came out and the temperature quickly rose 18 degrees. The a thunderstorm hits and the temperature drops 6 degrees. The sun comes back out the temperature raises 12 degrees. The temperature is now 94 degrees. What was the starting temperature?
Answer:
70
Step-by-step explanation:
Just do it backwards.
94 - 12 = 82.
82 + 6 = 88.
88 - 18 = 70.
On a map, Luis's house is located at (-7, 6)
and Melvin's house is at (4,-5). What are the
coordinates for Raquel's home if she lives exactly
halfway between Luis and Melvin?
Step-by-step explanation:
There is no diagram how can we answer
A triangle has a base length of 6ac² and a height 3 centimeters more than the base length. Find the
area of the triangle if a = 2 and c=3.
Hey there!
EQUATION:
6ac^2
ASSUMING:
= 6(2)(3)^2
SOLVING:
= 6(2)(3^2)
= 12(3^2)
= 12(3 * 3)
= 12(9)
= 108
Therefore, the answer should be: 108
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
help me plssssssssssssssssssssss
A fabric store is having a sale. The price of every item in the store has been reduced by 30%. Which equation shows the
proportional relationship between the regular price, r, of an item and its sale price, s?
Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.
What is sale price?A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.
Let the regular price be r and sale price be 's'
Since price of every item reduced by 30%.
So, sale price will be
[tex]s= r- 30% of r[/tex]% of r
[tex]s= r- \frac{30}{100} *r[/tex]
s= r - 0.3 r
s= 0.7 r
s-0.7r=0
or, 10s -7r=0
Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0
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Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293
Answer:
D. 293
Step-by-step explanation:
He delivers 38 papers each day of the week except sunday, so six days a week
38 x 6 = 228
228 + the 65 he delivers on sunday = 293 papers a week
A teacher bought 8 books at (p - 1500) each book and 2 pens at (p + 1000) each pen. If the teacher spent 53,000 altogether, how much money did he spend on the books?
Answer:
38400/=
Step-by-step explanation:
8(p-1500)=8p-12000
2(p+1000)= 2p+2000
8p-12000+2p+2000=53000
10p-10000=53000
10p=53000+10000
10p=63000
p=6300/=
8 books=8(6300-1500)
=38400/=
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
3x + 2 = 14
Which number makes the equation true?
1
2
2
4
6
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]
Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.
Answer:
.0022
Step-by-step explanation: