Answer:
C
Step-by-step explanation:
At a state park, the rangers' office knows the current population of deer in the park is 482 animals and predicts the population will increase by 5% per year for the foreseeable future. The park's acreage can currently sustain a population of 645 deer, and the rangers estimate that number will increase over the next t years by 20t - t2. Which system of equations can be solved to find the number of years from now, t, when the population of deer will exceed the number sustainable by the park's acreage?
Answer:
In six years the population will exceed 645 deers
!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION
Answer:
(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Step-by-step explanation:
A sum of cubes is factored in general as
a³ + b³ = (a + b)(a² - ab + b²) , thus
8[tex]x^{6}[/tex] + 27y³
= (2x²)³ + (3y)³ with a = 2x² and b = 3y
= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)
= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Answer: Edmentum/plato
Step-by-step explanation:
what is the point-slope form of a line with slope -3 that contains the point 10, -1
Answer:
C. [tex] y + 1 = -3(x - 10) [/tex]
Step-by-step explanation:
The point-slope equation of a line:
[tex] y - y_1 = m(x - x_1) [/tex]
where m = slope, and the point is (x1, y1).
In this case, the point is (10, -1), so x1 = 10 and y1 = -1.
The slope is -3, so m = -3.
[tex] y - (-1) = -3(x - 10) [/tex]
[tex] y + 1 = -3(x - 10) [/tex]
What is the equivalent trig ratio to sin 25?
Answer:
The answer is "[tex]\bold{\cos 65}[/tex]"
Step-by-step explanation:
Given:
[tex]\Rightarrow \bold{\sin 25}\\[/tex]
[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\frac{\sin 25}{1}[/tex]
[tex]\therefore \tan \theta = \frac{\sin \theta }{cos \theta}[/tex]
[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\cos (90-65)[/tex]
The answer is "[tex]\bold{\cos 65}[/tex]".
=
O RATIOS, PROPORTIONS, AND MEASUREMENT
Writing ratios for real-world situations
There are 8 new books and 9 used books on a shelf.
(a) What is the ratio of all books to new books?
(b) What is the ratio of all books to used books?
(a)
(b)
?
X
Answer:
(a) ratio of all books to new books is 17 : 8
or in quotient form: 17/8
(b) ratio of all books to used books is 17 : 9
or in quotient form: 17/9
Step-by-step explanation:
Number of new books = 8
Number of used books = 9
Total number of books = 17
Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:
a : b
which can also be translated to the quotient expression: a/b
Then the requested ratio of
(a) all books to new books is 17 : 8
or in quotient form: 17/8
(b) all books to used books is 17 : 9
or in quotient form: 17/9
What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)
Answer:
[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Step-by-step explanation:
To find the product :
[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]
[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]
[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Some identities used:
1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]
2. [tex]\sqrt9 =3[/tex]
3. [tex]\sqrt{25} =5[/tex]
4. [tex]\sqrt x \times \sqrt x=x[/tex]
5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]
So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Answer:it’s b
Step-by-step explanation:
On edge
To the nearest square unit, what is the area of the regular heptagon shown below?
Answer:1572
Step-by-step explanation:
Am god
To the nearest square unit, Area of heptagon = 1572 square unit
The correct option is B.
What is heptagon?A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.
Given,
Side length of heptagon = 20.8 unit
Radius of the incircle = 21.6 unit
Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit
Area of heptagon = (1/2)Perimeter × radius of incircle
= 0.5 × 145.6 × 21.6
= 72.8 × 21.6
= 1572.48 square units
Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.
Learn more about heptagon here:
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i’ve been stuck on this one
[tex]the \: right \: answer \: is \: of \: option \: a \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume
Answer:
V = 80√3 cm³
Step-by-step explanation:
V = Ab×h/3
Ab = l²√3/4 = 64√3/4 = 16√3 cm²
V = 16√3cm²×15cm/3
= 16√3cm²×5cm
= 80√3 cm³
Answer:
138.56cm2
Step-by-step explanation:
B.a×hx1/3
B.a=1/2×8×8sin60=27.71cm2
1/3×27.71×15=138.56cm2
PLEASE HELP ME FOR 5 POINTS
Answer:-7n-21-8-64n
-71n-29
Step-by-step explanation:
Answer: -71n - 29
Step-by-step explanation:
-7n - 21 -8 - 64n
Collect like terms:
-7n - 64n -21 - 8
I have been trying to find this for awhil: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
8.8
Step-by-step explanation:
4.5-0.2=4.3
The difference is 4.3 add 4.3 to 4.5=8.8
6+
Зу + 4 < 6
helppppppppp
Step-by-step explanation:
6 + 3y + 4 < 6
10 + 3y < 6
3y < -4
y < -4/3
Answer:
y < -4/3
Step-by-step explanation:
6+ Зу + 4 < 6
Combine like terms
10 +3y < 6
Subtract 10 from each side
10 +3y - 10 < 6-10
3y < -4
Divide each side by 3
3y/3 < -4/3
y < -4/3
What steps should be taken to complete the conversion? StartFraction 8 miles Over 1 EndFraction times StartFraction 1.61 kilometers Over 1 mile EndFraction times StartFraction 1000 meters Over 1 kilometer EndFraction = blank
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
Required
What steps should be taken to complete the conversion?
The first step is to cancel out equal units;
Kilometre(s) will cancel out Kilometre(s)
Mile(s) will cancel out Miles
And we'll be left with metres
This is shown below
[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]
[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]
[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]
The next step is to perform all multiplications
[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]
[tex]\frac{12,880\ metres}{1} =[/tex]
[tex]12,880\ metres[/tex]
Answer:
10 inches
Step-by-step explanation:
A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply. The sphere has a diameter of 8 in. The volume of the sphere is . The sphere has a diameter of 32 in. The radius’s length is one-half the length of the diameter. The volume of the sphere is . The diameter’s length is one-half the length of the radius.
Answer:
The sphere has a diameter of 32 in.
The radius’s length is one-half the length of the diameter.
Step-by-step explanation:
The diameter is the measurement of the line that starts at one end of a circle or a sphere and ends at the other end.
The radius is half the diameter. The radius goes from one end of the circle or sphere to the center.
So, if a sphere has a radius of 16 inches, it would have a diameter of 32 inches.
16 * 2 = 32
I cannot see the volume of the sphere.
[tex]V = \frac{4}{3}\pi r^3[/tex]
Using 3.14 for pi and 16 for 'r':
[tex]4/3 * 3.14 * 16^3\\\\4/3*3.14 *4096\\\\4.1866...*4096\\\\17148.3136[/tex]
The volume of the sphere is about 17148 cubic centimetres.
Answer:
c
Step-by-step explanation:
i did the test
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!
Answer:
6
Step-by-step explanation:
[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]
Hope this helps!
HELP PLEASE
solve for x : 2.1x - 3.6 = 8
1) 6.77
2)2.1
3)1.22
4)5.52
Answer:
Rounding x = 5.52
Step-by-step explanation:
2.1x - 3.6 = 8
Add 3.6 to each side
2.1x - 3.6+3.6 = 8+3.6
2.1x = 11.6
Divide each side by 2.1
2.1x/2.1 = 11.6/2.1
x =5.523809524
Rounding x = 5.52
What is the function of f(x)
Answer:
f(x) = 5/2x+7
Step-by-step explanation:
The y intercept is 7
We have 2 points (0,7) (2,12)
We can find the slope
m = (y2-y1)/(x2-x1)
= (12-7)/(2-0)
= 5/2
We can use slope intercept form
y = mx+b
y = 5/2x+7
f(x) = 5/2x+7
Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?
Answer:
hey so im guessing its 10 bananas and 10 apples
Step-by-step explanation:
1.2x 10=12
1.4x10= 14
12+14=26
What is -3 1/2 ÷ 4/9 = ???
Answer: -7.875
Step-by-step explanation:
what is called circle
Answer:
A round plane figure whose boundary (the circumference)consists of points equidistant from a fixed point (the center)
Answer:
A round plane figure
Step-by-step explanation:
melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Answer:
1.4 hours or 83 minutes
Step-by-step explanation:
90 mi / 65 mph = 1.4 hr
Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.
What is the speed?Speed is the rate of distance covered in a particular time.
It is equal to distance/time
How to calculate time?We know that speed=distance/time
so the time will be =90/65
which will be equal to1.44 hour
Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.
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which expression is equivalent to 4(5x+3y)
Answer:
20x + 12y
Step-by-step explanation:
4 times 5x = 20x
4 times 3y= 12y
Step-by-step explanation:
I am going to assume that the equivalent expression is fully simplified.
To simplify this expression, we use the distributive method.
Using this method we get:
4·(5x+3y) = 4·5x+4·3y
Now that we have the terms seperated, simplify each of them:
4·5x + 4·3y = 20x + 12y
Our expression is now fully simplified so our answer is:
20x + 12y
What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth
Answer:
=1/26
Step-by-step explanation:
In a 52 card deck there are 2 red 8's ( hearts and diamonds)
P(red 8) = number of red 8's / total
=2/52
=1/26
Find the surface area of the composite solid. PLZ HELP
Step-by-step explanation:
Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.
I attached a picture of some of the missing values. That should help a little with visualizing.
Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.
The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.
Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.
Now you can make your surface area equation:
[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]
The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.
[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]
If there's anything you need me to explain further, feel free to comment :)
Answer:
[tex]SA=613.5m^2[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
Please help with this
Answer:
D
Step-by-step explanation:
By the Pythagorean theorem:
[tex]18^2+24^2=x^2[/tex]
Therefore, answer choice D is correct. Hope this helps!
I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?
Please, need answer in 5 minutes
The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.
Answer:
2.49-1.99= 0.5
0.5 divided by2.49 times 100 is about 20% decrease
1.99-2.49+0.5 also so it is also a 25 percent increase
Step-by-step explanation:
Which relationships about the interior and exterior
angles are true? Check all that apply.
aº + bº + c = 180°
xº + a = 180°
aº = cº
aº + c = 90°
X+ a = bº + c
Answer:
only A and B are correct
Step-by-step explanation:
all angles in a triangle will always add up to 180
all adjacent angles on a straight line will always add up to 180
Answer:
A and B are correct.
Step-by-step explanation:
This is what I got on EDG
I hope this helps!!!!
Classify ∠COB in the image below as either Acute, Obtuse, Right, or Straight.
Answer:
obtuse
Step-by-step explanation:
The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.
Angle COB is 140 degrees, which is Obtuse
Obtuse means between 90 degrees and 180 degrees, exclusive.
What are the x-intercepts of y=4x^2-16
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:
[tex]4x^2-16=0[/tex]
Factor:
[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]
The x intercepts are at (-2,0) and (2,0). Hope this helps!
Answer:
The x intercepts are -2 and 2
Step-by-step explanation:
y=4x^2-16
Set equal to zero to find the x intercepts
0 =4x^2-16
Factor
0 = 4(x^2 -4)
Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)
0 = 4(x-2) (x+2)
Using the zero product property
0 = x-2 0 = x+2
x =2 x = -2
The x intercepts are -2 and 2