Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
what is the area square feet？
Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.
Answer:
2,3,4 are correett
Step-by-step explanation:
1,5,6 are wroongg
Answer: 2 3 4 are your answers
The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x
2 onto the graph of
y = x
2 − 8x + 25.
Answer:
(x + 4), (y + 9)
Step-by-step explanation:
y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.
The turning point of y = x^2 is at the origin (0, 0).
So the transformation is 4 units to the right and 9 units upwards:
(x + 4), y+ 9).
What is the slope of 7,-2 and -3,3
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
3-(-2)/ -3-7
5/-10
= -1/2
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
Step-by-step explanation:
Please help me with this .
Answer:
x=4
Step-by-step explanation:
It's a parallel line so the equation is
100+19x+4=180
19x=180-100-4
19x=76
x=76/19
x=4
Answer: x = 4
Step-by-step explanation: The 2 angles are same-side interior angles, which are supplementary, and supplementary angles add up to 180, so we know that 19x + 4 = 80.
- 4. -4
19x = 76
/19. /19
X = 4
y+1= 6/11(x+4) convert to standard form please WILL GIVE BRAINLIEST
your answer is:
6x - 11y = -13
~☆
Pls help. I need the explanations too.
Answer:
a- about 3$
b-about 8$
c-about .04
Step-by-step explanation:
a-100.8/35=2.88
2.88 is around 3
b-49.2/6=8.2
8.2 is close to 8
c-.78/20=.039
.039 is the nearest to .04
what is 25% more than 6 feet
Answer:
7.5 I guess?
Step-by-step explanation:
??
Step-by-step explanation:
l dont understand this can you explain
13) How do you know when to use the mean or median as the best measure of center?
Answer:
The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.
Step-by-step explanation:
hope this helps
If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
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Find the value of x
Answer: x= 108
Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?
Answer:
2,160 Hours
Step-by-step explanation:
Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong
Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,
The unit rate for the work of Phillip is given, $11.25 per hour.
Therefore, his earning for h hours = $11.25h
For (8+h) hours = $11.25(h+8)
Since, he earned $540 for both weeks,
Therefore,
11.25(h+8) + 11.25h = 540
11.25h + 90 + 11.25h = 540
22.5h = 450
h = 20
h+8 = 28
Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
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Help please due in an 1 hour!!
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.
1×10−1 N
1×10−2 N
1×10−5 N
1×10−6 N
Answer:
B
Step-by-step explanation:
If it’s right can you mark me brainliest ty
The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the metric unit of force,
10 kg⋅cm/s²
Since,
1 meter = 100 cm ⇒ 1 centimeter = 0.01meter
So,
10 kg⋅cm/s² = 10 kg (0.01)m/s²
10 kg⋅cm/s² = 10 × 0.01 kg m/s²
10 kg⋅cm/s² = 1×10−1 kg m/s²
Since,
kg m/s² = Newton (N)
So,
10 kg⋅cm/s² = 1×10−1 N
Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".
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What is the least amount of additional money Sofia can spend to get the sushi they need?
Answer:
$
Step-by-step explanation:
Write a recursive formula for the
sequence
12,27,42,57.....
HELP ME PLEASE I DO ANYTHING I BEEN STUCK FOR 30mins now
Answer: Adding 15 each time
I need help!! ASAP!!
Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
which expression is equal to -3(4x - 2) - 2x?
Answer:
-14x + 6
Step-by-step explanation:
-12x + 6 - 2x
-14x + 6
Please I needddd helppp is it correct or do I need to change something
is this set of ordered pairs of a function?
(1,1) (2,3) (3,4) (4,2) (5,1)
What is the value of x?
Enter your answer in the box
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
Can someone please help!!
Answer:
Step-by-step explanation:
the last one
Which is the value of the expression when x=-2 and y =-3
Answer:
-720
Step-by-step explanation:
10x^3y^2 If x = -2 and y = -3
10 * (-2^3) * (-3^2)
10 * (-8) * (9) = -720
Answer:
A.) -720
Step-by-step explanation:
10x^3y^2
10 times x^3 times y^2
x = -2
y = -3
10 times (-2)^3 times (-3)^2
-2^3 = -2 x -2 x -2 = -8
-3^2 = -3 x -3 = 9
-8 x 9 = -72
10 x -72 = -720
ten subtracted from a number if the difference is 30 what was the orginal number
what is the lowest term of 27/45
Answer:
3/5
Step-by-step explanation:
[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]
Which equations are correct?
Select each correct answer.
[tex]4c^4(3c^2)=12c^8[/tex]
[tex]3b^3(−2b^4)=−6b^12[/tex]
[tex]5y^4(2y^5)=10y^9[/tex]
[tex]5x^3(6x^4)=30x^7[/tex]
9514 1404 393
Answer:
C, D
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
__
The correct equations are the last two.
For the first two, the appropriate products are ...
[tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]