By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
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Two sides
Of the x that are multiplied together to get the top number of the x but added together to get the bottom number of the x like 24 too 25 on bottom
As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.
What is the definition of the square root?By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.
Here,
In this case, we're using the square to solve a quadratic equation.
Never forget to use both the negative and positive roots of the equation and to square the values of both sides.
We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.
As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.
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PQ is formed by endpoints P (3, -1) and Q (1, -6). Dilate PQ about the origin by the scale factor - }. What
are the points of the image P'Q'?
Pls help will mark brainlist
Explanation:
Multiply each coordinate, of each point, by the scale factor -1/3. That means for instance x = 3 becomes x = -1, when going from P to P'. Doing this will shrink the image, and there's also a reflection going on due to the negative scale factor.
Will give brainliest
Below, the two-way table is given for a
class of students.
Sophomore
Freshmen
Juniors
Seniors
Total
Male
4
6
2
2
Female
3
4
6
3
Total
If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%
Answer:
19%Step-by-step explanation:
Total Females = 3 + 4 + 6 + 3 = 16
Number of female seniors = 3
P ( Female | senior )
number of female seniors / total female = [tex]\frac{3}{16}[/tex]
In percent,
[tex]\frac{3}{16}[/tex] · 100 = 0.1875 · 100 = 18.75%
18.75% rounded to nearest whole percent is 19%
The required probability is 3/4= 75%, the probability the student is a senior given that it's female.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
here, we have,
We have to compute the probability,
P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.
Determine the total number of juniors. Juniors=2+6=8
Since the number of females who are junior is 6, determine the required probability.
P(Female|Junior)=6/8=3/4
Therefore, the required probability is 3/4 = 75%
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hey guys it’s my final! mind helping? 30 points! will mark the brainiest
Sketch the angle in standard position and draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle and closer to the given angle than any other coterminal angle. Give the quadrant of the angle, if applicable. -90°
The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.
Given that angle is - 90°.
For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.
Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.
One positive coterminal angle in the fourth quadrant would be 270°.
This angle is closer to -90° than any other coterminal angle in the fourth quadrant.
One negative coterminal angle in the fourth quadrant would be -450°.
This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.
So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.
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is x+3=-5y in standard form?
Answer:
Nope
Step-by-step explanation:
Standard form for a linear equation in two variables is [tex]Ax+By=C[/tex] with the terms containing x and y on the left side of the equation and a number on the right side.
[tex]x+3=-5y[/tex]
Subtract 3 from both sides.
[tex]x=-5y-3[/tex]
Add 5y.
[tex]x+5y=-3[/tex]
What is the simplest form of the radical expression?
4 - v2x+6 v2X
carmela translates f (x) = x2 to create p (x). If p 9 (x) = f (x+3) -10 sketch the graph
The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.
What are some rules of function transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over the x-axis, (x, -y).
Given, A function f(x) = x².
Now, p(x) = f(x + 3).
p(x) = (x + 3)² and it is a transformed function to the parent function f(x).
Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.
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Need Help With This
Step-by-step explanation:
a) x+20+x+90=180 [sum of 3 angel of triangle]
2x + 110 = 180
2x = 180- 110
2x = 70
x = 70÷2
x = 35
b) 2y + y + y = 180
4y = 180
y = 180÷4
y= 45
c) 4z-30 + 2z = 180
6z = 180 + 30
6z = 210
z = 35
Write complex number in standard form.
Answer:
it's B
[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]
Answer:
C
Step-by-step explanation:
please refer to the sketch
3 increased by a
number times 2
Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 4 units and to the right 6 units .
Please help !!!!
*NO LINKS*
Answer: [tex]g(x) = \frac{1}{x-6} - 4[/tex]
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
=============================================================
Explanation:
We'll start with the parent function [tex]f(x) = \frac{1}{x}[/tex]
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have [tex]h(x) = f(x) - 4 = \frac{1}{x} - 4[/tex] as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with [tex]g(x) = \frac{1}{x-6} - 4[/tex]
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.
A deck of cards ..something I don't get ..Please help
=======================================================
Explanation:
I'm assuming your teacher meant to say "same number or letter" instead of "same number of letter" at the very end of the problem.
The best case scenario is that the person selecting the cards is very lucky to select say a king of hearts and king of clubs. This shows that 2 cards is the lowest amount of cards to select here.
----------
Of course, such a scenario is not that likely. That person is likely to get some other card compared to the 1st selection.
Let's assume the person selecting the cards has the worst luck possible. This means they select each card 1,2,3,...,10,J,Q,K exactly once in any order. If this happens, then the person does not have any pairs just yet. The person has selected 13 cards so far with this worst case scenario.
The 14th card is guaranteed to pair up with some other card previously chosen. There simply aren't any other options left once you've exhausted all possibilities. See the pigeonhole principle for more information.
So this is why you would need to select 14 cards to guarantee having at least two pair up together (i.e. you would have 2 or more pairs).
A cyclist rides his bike at a rate of 30 kilometers per hour. What is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:4.8
Step-by-step explanation:
30/3 x 1.6
Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.
Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.
To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:
46 - 7 = 39
39 - 7 = 32
32 - 7 = 25
25 - 7 = 18
18 - 7 = 11
11 - 7 = 4
As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.
So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.
Step-by-step explanation:
Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of
On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
Here,
two triangles are there
triangle ABC and triangle A`B`C`
AB =A`B`
BC = B`C`
AC =A`C`
So, by sss property
both are congruent
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3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What was the area left unpainted?
A. 5.1 m²
B. 3.75 m²
C. 5.2 m²
D. 1.35 m²
4. A trapezoidal piece of land having 998.50 m2 area is to be sharedby the two brothers Alex and Ben. Alex in his desire wants to have a square lot having 18.6 m² side. How big is Ben's share?
A. 652.54 m²
B. 345.96 m²
C. 862.5 m²
D. 900.1 m²
5. Find the area of a circular pool whose radius is 2 meters.
A. 12.56 m²
B. 15. 65 m²
C. 18.9 m²
D. 22,45 m²
Answer:
#3
What was the area left unpainted?
3.4*1.5 - 3.75 = 1.35 m²Option D
#4
How big is Ben's share?
998.50 - 18.6² = 652.54 m²Option A
#5
The area of a circular pool whose radius is 2 m:
A = π² = 3.14*2² = 12.56 m²Option A
Solve for x
Pls help
Answer:
x=12
Step-by-step explanation:
As a straight line is equal to 180. Here, we have one angle given, which is 134. So,
w+134=180
w=46
And the sum of all the angles of a triangle is equal to 180.
By adding all the angles,
8x-10+5x-12+46=180
13x-22+46=180
13x+24=180
13x=180-24
13x=156
x=156/13
x=12
Step-by-step explanation:
➝8x-10+5x-12=134
➝8x+5x-10-12=134
➝13x-22=134
➝13x=134+22
➝13x=156
➝x=156/13
➝x=12
Discovery of Trigonometry: #28 What is the length of CA? *
Answer:
sqrt(3)
Step-by-step explanation:
Each side (donated by small letter ) is opposite to its angle for example :
Side c is opposite to angle C which is 90
side b is opposite to angle B which is 60
A certain type of fertilizer contains 8% nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn, how many kilograms of fertilizer are needed?
25 kilograms of fertilizer would be needed to fertilize the lawn.
what is the percentage?In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.
given, A certain type of fertilizer contains 8 percent of nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn.
Since fertilizer contain 8% nitrogen in it
thus for 80 grams of nitrogen = 1 kg of fertilizer
for 1 gram of nitrogen = 1/80 kg fertilizer
for 2000 gram of nitrogen = (1/80)* 2000 kg fertilizer
for 2 kilograms of nitrogen = 25 kg fertilizer
therefore, To fertilize the yard, 25 kg of fertilizer would be required.
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What is the common denominator of y + StartFraction y minus 3 Over 3 EndFraction in the complex fraction y + StartFraction y minus 3 Over 3 EndFraction divided by five-ninths + StartFraction 2 Over 3 y EndFraction?
The common denominator of the given expression is 5y+6.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
Given expression,
(y+(y-3)/3)/(5/9+2/3y)
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
=3y(4y-3)/5y+6
Hence the common denominator of the above expression is given by 5y+6
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Graph the inequality.
y> -3x²-30x-68
(Will mark brainliest)
Answer:
See below
Step-by-step explanation:
Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):
[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]
Hence, the side that contains (0,0) gets shaded. See the graph below.
Help pls :)....................
Answer:
(19,1/2)
Step-by-step explanation:
you can put any number in the x coordinate as long as y is the same .
One of the legs of a right triangle measures 5 cm and the other leg measures 6 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
Measure of Hypotenuse is 7.8 cm.
Step-by-step explanation:
Since the triangle is a right angle, the formula we would use is [tex]a^2 + b^2 = c^2[/tex].
We are looking for the hypotenuse that would be c.
[tex]a^2 + b^2 = c^2[/tex]
[tex]5^2 + 6^2 = c^2[/tex]
[tex]25 + 36 = c^2[/tex]
[tex]61 = c^2[/tex]
[tex]\sqrt{61} = \sqrt{c^2}[/tex]
7.8102 = c
c = 7.8 cm
Martin is paid an hourly rate of d dollars per hour for the first 40 he works per week. for each hour he works in excess of 40 per week Martin was paid 770 for working 50 hours in one week, which equation can be
Pls help with my math
This is the hard question for me
Thnx
Edgar accumulated $1,000 in credit card debt. If the interest is 10% per year and he does not make any payments for 4 years, how much will he owe on this debt in 4 years by compounding continuously?
Provide your answer below:
A= $ __
8. Find the cos(C).
.
5
13
1
C. 12.
5
b. 12.
0
26
13
d. 13
5
Answer:
A. 5/13
Step-by-step explanation:
Cos is the adjacent side/hypotenuse
Cos C = 10/26 = 5/13
Suki is trying to solve the equation 62.75 + x = 92.
Determine whether Suki could use each statement below to reason and solve the equation.
Choose Yes or No for each statement.
A) Suki can add 62.75 to both sides of the equation.
[ Select ]
B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]
C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]
D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]
E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]
Answer:
A) Technically he/she can, but they shouldn't really.
B) Yes
C) Yes
D) Yes he/she can but is not necessary to solve the equation
E) Yes
Easy Question: Correct = brainliest:
How many 2 digit numbers are multiples of 2 but not 4?
Answer:
23 I thinkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
ehhhhh
Answer:
46
Step-by-step explanation:
Since we are finding multiples of 2, but avoiding multiples of 4, we need to skip 4 from every 2 digit multiple starting from 10 (10, 14, 18, 22, so on...). BUT. I'm not finished yet. The answer is NOT 23. Why? Well, you forgot about the negative 2-digit multiples.
Do the same (Skip NEGATIVE 4 from every 2 digit multiple, but starting from -10, -10, -14, so on...)
Doing this, I found:
46 multiples of 2, but not 4
Multiples:
10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, -98, -94, -90, -86, -82, -78, -74, -70, -66, -62, -58, -54, -50, -46, -42, -38, -34, -30, -26, -22, -18, -14, -10