Answer:
The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.
To find the magnification, we can divide the size of the image by the size of the object:
Magnification = size of image / size of object
Plugging in the values, we have:
Magnification = 85mm / 23mm
Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.
Step-by-step explanation:
The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family that for the next 6 months, Lucky would grow at an average rate of 9 pounds per month. Currently, Lucky is 2 months old and weighs 3 pounds. Age, in months 2 3 4 5 6 7 8 Weight, in pounds 3 at 2 months old Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months. Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points. Part C: Create a linear model that represents the Lucky's current weight, in pounds, as a function of his age, in months. Part D: If Lucky continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Lucky weigh by the time he is one year old?
The table is given below.
The graph is given below.
The linear model that represents lucky's current weight in pounds as a function of his age in months is
f(x) = 9x - 15.
Lucky's weight in one year is 93 pounds.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Lucky current age and weight = 2 months and 3 pounds.
The growth rate of lucky per month = 9 pounds.
Table of age and weight of lucky.
Age (months) Weight (pounds)
2 3
3 12
4 21
5 30
6 39
7 48
8 57
Now,
The coordinates on the graph from the table are:
(2, 3), (3, 12), (4, 21), (5, 30), (6, 39), (7, 48), and (8, 57).
The graph of the table is given below.
Now,
The function for the weight of the lucky in x months.
f(x) = mx + c
m = 9
(2, 3) = (x, f(x))
So,
3 = 9 x 2 + c
c = 3 - 18
c = -15
So,
f(x) = 9x - 15
Where x is the number of months.
Now,
The weight of lucky in one year i.e 12 months.
This means,
x = 12 months
f(12) = 9 x 12 - 15 = 108 - 15 = 93
Thus,
The table is given above.
The graph is given below.
The function for lucky weight in x months is f(x) = 9x - 15.
The weight of lucky in one year is 93 pounds.
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50points!
True or False, (-1,5) is a solution for these systems of equations.
y = -x + 4
y = 0.2x
Answer:
am not sure but I think is true. I am hopeful
Answer:
FalseStep-by-step explanation:
Substitute to verify:
5 = - (-1) + 45 = 5True for the first equation5 = 0.2(-1)5 = -0.2False for the second equation, so the answer is false(please answer)When considering the cost of paying for college, which kind of aid MUST be repaid A) grants B) scholarships 0 student loans D work-study
Answer:
A. grant
that's the answer
The solid below is made of eight rectangular prisms, each with dimensions of 14 inches (in.) by 9 inches by 10 inches.
What is the volume, in cubic inches, of the object?
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest.
Answer:
D
Step-by-step explanation:
Volume of one prism
V = base x width x height = 14 x 9 x 10 = 1260 in^3
Volume of the solid
V = volume of one prims x 8 = 1260 x 8 = 10,080 in^3
explain step by step please thank you! Paco drives an average of 55 miles per hour. Their destination is 274 miles away. wants to arrive at 4:00 p.m. and allow an extra hour for stops. What time should he go out?
Answer:
11:01 am
Step-by-step explanation:
If paco drives 55 miles per hour you must divide 274 by 55 to find the amount of time it will take for him to reach his destination:
274÷55=4.981818...
Now we have 4 hours plus 0.981818.. hours which the latter we multiply by 60 to find out how many minutes are 0.981818 hours:
60×0.981818...=58.9090...
which I will round to 59 as clocks show an hour and a minute so rounding it so it's accurate to the second is unnecassary, this means it will take him 4 hours 59 minutes to reach his destination so we subtract this from 4:00 pm:
4:00 pm-4 hours 59 minutes= 11:01 am
So our answer is 11:01 am
If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
Answer:
RM = 12 cm
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Assuming 20 is the hypotenuse cus there is no picture:
[tex]a^{2} + 16^{2} = 20^{2}[/tex]
[tex]a^{2} +256 = 400[/tex]
[tex]a^{2} = 144[/tex]
[tex]a=144[/tex]
If It's not the hypotenuse:
[tex]16^{2}+ 20^{2} =c^{2}[/tex]
[tex]256+400 =c^{2}[/tex]
[tex]656=c^{2}[/tex]
[tex]c = 25.61249695[/tex]
But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.
Hope this helped. :0)
Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle
between these sides is 33°. Find the area of the parallelogram to the nearest square
foot
Answer:
215117 ft²Step-by-step explanation:
Assumed the base is the longer side.
The height of the parallelogram is:
h/500 = sin 33° h = 500 sin 33° h = 272.3 ftThe area is:
A = bh A = 790*272.3 = 215117 ft²Answer:
215132
Step-by-step explanation:
deltamath
a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass?
Answer: 624 Square meters
Step-by-step explanation:
PLEASE help test due tonight !!!Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
If you are happy with my answers, please give brainliest <3
Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?
Dalisay hits the target more.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Kendra hits the target 3 times every 5 misses.
And, Dalisay hits the target 5 times every 7 misses.
Since, Kendra hits the target 3 times every 5 misses.
Hence, In 1 misses Kendra hits the target = 3/5 times
= 0.6 times
And, Dalisay hits the target 5 times every 7 misses.
Hence, In 1 misses Dalisay hits the target = 5/7 times
= 0.74 times
Thus, Dalisay hits the target more.
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Find the inverse of the function.
y = x + 8
Write your answer in the form ax + b. Simplify any fractions.
y =
Answer:
X=y-8................
Let x^2+10x=6.
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x^2+10x+___=___
Answer:
x² + 10x + 25 = 31
Step-by-step explanation:
To complete the square use half the x coefficent (10/2 = 5)
and square it (5² = 25)
Then add it to both sides
x² + 10x + 25 = 6 + 25
x² + 10x + 25 = 31
Answer:
x^2 + 10x + 25 = 31
Step-by-step explanation:
x^2 + 10x + (10/2)^2 = 6 + 25
x^2 + 10x + 25 = 6 + 25
x^2 + 10x + 25 = 31
The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it
1/2 10 = 5
5 squared = 25
That number must be added to the right side to maintain equality.
Nina uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of cashews are there per cup of trail mix?
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1/2 ÷ 2 1/4
1/2 ÷ 9/4
1/2 x 4/9 = 4/18 = 2/9
Solve for m: m-5/8=-1/4
M-5/8 = -1/4
Add 5/8 to both sides:
M = -1/4 + 5/8
Rewrite the fractions to have a common denominator
-1/4 = -2/8
Now you have m = -2/8 + 5/8
M = 3/8
Answer:
The answer is 0.375 (3/8)
Step-by-step explanation:
Since the M is subtracted by 5/8, you add 5/8 to both sides of the equation to get the M by itself and -1/4+5/8 equals 0.375, or 3/8
8. Using the formula C= id, find the circumference of a circle with a
diameter of 9 cm.
A. 28.26 cm B. 28.26 m C. 29.26 cm D. 29.26 m
Answer:
Circumference of a circle, C
[tex]C=\pi d= \pi 9=28.26cm\\Option \ A[/tex]
multiply the sum by the difference of 19 and 57
Answer:2009#73
Step-by-step explanation:
3939+373
Ie,ek
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
Billy noticed that several of his carrots had been eaten by some mischievous rabbits. Billy wants to build a fence around his circular garden to keep the rabbits out. How much fence would Billy need? Explain how you determined your answer. Show all your work.
Billy decides that next year he will make his garden a raised-bed garden. He plans to make a short wall of paving bricks all the way around the garden, then fill the space inside with fresh soil. If he makes the wall 1 foot high, what volume of soil will he have to purchase in order to fill the circle to the top of the bricks?
Answer:
Step-by-step explanation:
area=πr^2
so we need to find the area then divide by 8
so
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
Show how u solved it
Answer:
The surface area of the figure is 412 cm2.
Step-by-step explanation:
To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:
Blue figure:
(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X
(24 + 4) x 10 + 2 x 24 = X
28 x 10 + 48 = X
280 + 48 = X
328 = X
Red figure:
3 x 8 = 24 x 2 = 48
3 x 6 = 18 x 2 = 36
328 + 48 + 36 = X
376 + 36 = X
412 = X
Therefore, the surface area of the figure is 412 cm2.
whats 2+2 pls i have a test tomorrow i need to pass it
Germany 3. Guam 24
Greenland -10
Which location is the warmest?
Answer: Guam
Step-by-step explanation:
Guam's location is the warmest because its a higher number than Greenland and Germany
Find the equation of the exponential function represented by the table below: 1 4 16 64
The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density of the material is 1533.3 grams per quarts.
What is density?Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.
The formula to find the density is Density=Mass/Volume
Density =6900/4.5
Density= 1533.3 grams per quarts
Therefore, the density of the material is 1533.3 grams per quarts.
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Angle sec0= -13/12 and cot<0. what are the exact values of tan0 and sin0.
Answer:
tan 0= -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
does anyone know what this is please help
Answer:
1)2 2)third 3)8
Step-by-step explanation:
So for the first one doubled just means times 2
for the second r³ means to the third power
for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)
would be amazing if you Marked this as brainliest
FIND C.
Give your answer in the simplest form
Answer:
3
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]
[tex]a = 7[/tex]
[tex] \tan(30) = \frac{7}{c} [/tex]
[tex]c = 7 \sqrt{ 3} [/tex]
therefore 3 is required in the green box
The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden
Answer:
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.
Step-by-step explanation:
A woman bought a number of items for $24. She realized that if she had bought 4 more items for
the same money, she would have pald $8 less per Item. How many Items did she buy?
Answer:
The woman bought 2 items at $12 each.
Step-by-step explanation:
Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:
X = 24
X + 4 = 24
24/2 = 12
24/6 = 4
12 - 4 = 8
Therefore, the woman bought 2 items.
39➗(2+1) - 2x (4+1)
5/7 - Exit Ticket
Answer:
13 - 10x
= -3x
hope it helps
6029-5817 is the correct answer 45
the answer is 212 .... not sure where 45 came from
NEED HELP LOL
if i have an 80% in a class for the first semester and a 90% in a class for the second semester, what is my grade for the year?