Step-by-step explanation:
12 trees produce 72 apples
1 tree pruduces 72/12 apples
or 6 apples per tree
estimated => 7 apples per tree
A small orchard is made up of 12 trees that all together produce 72 apples. Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
____________________Solution :-Given Information :-Number of trees ➢ 12Apples produced by all 12 trees ➢ 72To Find :-Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
Calculation :-Here, We will simply divide the number of apples produced by 12 trees by the number of trees and then we will round it off to it's nearest 'ones' place.
⇒ Total number of apples each tree produces = [tex] \sf \frac{total \: number \: of \: apples}{total \: number \: of \: trees} [/tex]
Substituting the values given, We get,
⇒ Total number of apples each tree produce = [tex] \sf \frac{72}{12} [/tex]
⇒ Total number of apples each tree produces = 6
Now, when we round it off to it's nearest 'ones' place, We get,
⇒ Round off 6 = 7
Since, We can see that, 4th option from the list of option given, is 7. Therefore 7 is the answer.
____________________Final Answer :-4th option :- 7 apples per tree is the correct answer.____________________You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
ΔCDE is reflected over the y-axis. What are the vertices of ΔC'D'E' ?
Answer:
The y coordinates will remain the same. Meanwhile, the x coordinates will be the opposite.
Step-by-step explanation:
Here's an example, because no picture was included. If point C was located at (3, 5), point C' would be at (-3, 5).
Hope this helps!! :)
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator. -135^{\circ}−135
Answer:
Step-by-step explanation:
Let's take a look at the given angle 135°
The sketch of the angle which corresponds to [tex]-\dfrac{3\pi}{4}[/tex] unit circle and can be seen in the attached image below;
The trigonometric ratios are as follows for an angle θ on the unit circle:
Trigonometric ratio related ratio on coordinate axes
sin θ [tex]\dfrac{y}{1}[/tex]
cos θ [tex]\dfrac{x}{1}[/tex]
tan θ [tex]\dfrac{y}{x}[/tex]
csc θ [tex]\dfrac{1}{y}[/tex]
sec θ [tex]\dfrac{1}{x}[/tex]
cot θ [tex]\dfrac{x}{y}[/tex]
From the sketch of the image attached below;
The six trigonometric ratio for 135° can be expressed as follows:
[tex]sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}[/tex]
[tex]sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= 1[/tex]
[tex]csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}[/tex]
[tex]sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\ sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}} \\ \\ sec = - \sqrt{2}[/tex]
[tex]cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\ cot(-\dfrac{3 \pi}{4})= -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\ cot (-\dfrac{3 \pi}{4}) = 1[/tex]
Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
https://brainly.com/question/1214333
6. Given h(x) =12+x2 find h(-5)
Calculate the magnitude and angle of the vector.
B = −2x+2y
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
Brainliest☻
Which relation symbol makes this number sentence true?
4/5 ___ 9/12
=
≠
Answer:
≠
Step-by-step explanation:
4/5 ≠ 9/12
≠ is the answer.
Answer:
≠
Step-by-step explanation:
First, find a common denominator
Let's use 60
Convert each fraction to a fraction with a denominator of 60
4/5 = 48/60
9/12 = 45/60
48/60 ≠ 45/60 so 4/5 ≠ 9/12
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
A standard american eskimo dog has a mean weight of 30 lbs with a standard deviation of 2 pounds. What is the range of weights would 99.7% of the dogs have?
Answer:
A and B ( page 12 and page 20 )
Step-by-step explanation:
1/4 of an hour he read 9 pages ( 15 mins ) ( 60 / 1 hour divided by 4 = 15 ) In other words 9 pages in 15 mins. To get to an hour u gotta multiply by 4. 15x4=60 9x4=36 ( 1 hour of reading is 36 pages read )
60 divided by 3 = 20
36 divided by 3 = 12 for sure it’s A and B
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
Plz help me What is the x-coordinate of the point (6, 8)?
Answer:
6
Step-by-step explanation:
(X,Y)
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male longtailed finches. Here are the data:
Weight Tail Length
20.5 82.5
19.1 82.5
15.9 67
16.7 70.5
15.7 73.5
The value of the linear correlation coefficient between weight and tail feather length is approximately : _________
Answer:
Step-by-step explanation:
it's about 18, as per the graph
Need help ASAP it’s due tonight and I don’t understand
Answer:
13 of August,
Step-by-step explanation:
All of them worked together at day number zero (August 1).
We know that Elvis works every 3rd day
So he will work at:
day 3, day 6, day 9, etc.
We know that Izzy works every 4th day, then she will work at:
day 4, day 8, day 12, etc.
We know that Janaisa works every 6th day, so she will work at:
day 6, day 12, etc.
We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.
To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:
3)
3*1 = 3
3*2 = 6
3*3 = 9
3*4 = 12
3*5 = 15
...
4)
4*1 = 4
4*2 = 8
4*3 = 12
4*4 = 16
...
6)
6*1 = 6
6*2 = 12
So we can see that 12 is a common multiple of the 3 numbers.
Then they will work together 12 days after August 1th.
That would be the 13 of August,
4. Two cylinders have dimensions in the ratio of 2:3. The smaller cylinder has a surface area of 16 cm.
What is the surface area of the larger cylinder?
Answer:
(cross multiply)
2:3
16:X
2X=16×3
2x=48
x=48÷2
x=24
Please help me with the two questions!
Answer:
[tex]3)\ x = 8[/tex]
[tex]4)\ x = 12[/tex]
Step-by-step explanation:
Given
The similar triangles
Required
Solve for x
TUV to TLM implies that, the corresponding sides are:
[tex]TU \to TL[/tex]
[tex]TV \to TM[/tex]
[tex]UV \to LM[/tex]
To solve for x, we use the following equivalent ratios
[tex]TV : TM =TU:TL[/tex]
This gives:
[tex]24 : x + 8=36 : 24[/tex]
Express as fraction
[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]
Cross Multiply
[tex]36(x + 8) =576[/tex]
Divide both sides by 36
[tex]x + 8 =16[/tex]
Subtract 8 from both sides
[tex]x = 8[/tex]
FGH to WVU implies that, the corresponding sides are:
[tex]FG \to WV[/tex]
[tex]FH \to WU[/tex]
[tex]GH \to VU[/tex]
To solve for x, we use the following equivalent ratios
[tex]FH : WU =FG:WV[/tex]
This gives:
[tex]x + 3 : 5 = 27 : 9[/tex]
Express as fraction
[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]
[tex]\frac{x + 3 }{ 5 }= 3[/tex]
Cross Multiply
[tex]x + 3 = 3 * 5[/tex]
[tex]x + 3 = 15[/tex]
Subtract 3 from both sides
[tex]x = 12[/tex]
multiply 8(-p+8) plz
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
Katie bought 2 blocks of cheese and 3 loaves of bread for $12.00. Jenny bought 4 blocks of cheese and 2 loaves of bread for $ 16.00. How much does each block of cheese cost? How much does each loaf of bread cost?
Answer:
cheese = $3 load of bread = $2
Step-by-step explanation:
to check:
2c + 3b = 12
2(3) + 3(3) = 12
6+6=12
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
A rectangular parking lot has a perimeter of 88 meters. The length of the parking lot is three times the width. Find the length and the width.
Answer:
Length = 33 m
Width = 11 m
Step-by-step explanation:
l = 3w
2l + 2w = 88
l + w =44
Subsitiute for l
3w + w = 44
4w = 44
w = 11
l = 3(11)
l = 33
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
What is the value of (−2)3 ?
Group of answer choices
-5
-6
-8
8
9514 1404 393
Answer:
-6 or -8, depending on what you mean
Step-by-step explanation:
(-2)3 = -(2)(3) = -6
__
(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:it’s abc
Please answer correctly this is 50% of my grade.....
Answer:
4y - 12
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
4y - 12
(to answer, type a 4 in the first box and a 12 in the other)
Step-by-step explanation:
Multiply 4 to the values inside of the parentheses:
4 * y - 4 * 3 =
4y - 12
Which statement describes the solution(s) to the system of equations -6x -3y =12 and -12x -6y= -24?
A. The system has a solution of (-2, -1)
B. The system has a solution of (3, -2)
C. The system has no solution.
D. The system has infinitely many solutions.
Answer:
C
Step-by-step explanation:
i had the same question on my test lol