Given :
The combined height of one for tree and one Pine tree is 21 m.
The height of four for a tree stacked on top of each other is 24 m taller than one Pine tree.
To Find :
How tall are the types of trees that Logan genetically engineered.
Solution :
Let, height of tree and pine tree is x and y.
So, x + y = 21 ...1)
4x - y = 24 ...2)
Putting value of y from equation 1 to equation 2, we get :
4x - ( 21 - x ) = 24
5x = 45
x = 9 m
y = 21 - x = 21 - 9 = 12
y = 12 m
Therefore, length of tree and pine tree is 9 m and 12 m.
Anamara has 3 cats. She wanst to feed them an equal amount of food. One bag of cat food has 9 grams of food. How many grams will each cats get?
Answer: 3 grams
Step-by-step explanation: Each distribution of food must be equal so divide food by amount of cats which is 3 to get 3
Mathmatically 9/3 = 3 grams
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%
PLZZZZZZ BRAINLIESTTTTT
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
9th grade math help me please and thank you sosomuch
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solutionIn the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
what is 1.117468769rounded two decimal places
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
Write the equation in slope- intercept form
4x+2y=12
Thanks!
Answer:
y=-2x+6
Step-by-step explanation:
Help please I’ll give you brainlyst
-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?
Answer:
Geometric sequence
.Step-by-step explanation:
Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.
Answer: Neither
Step-by-step explanation:
Solve the following
equation for X.
3x - 15 = -30
Answer:
X = -5
Step-by-step explanation:
3x - 15 = -30 You want to isolate tha variable
3x= -30+15 Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30
3x= -15
x= -15÷3 Divide x by 3 in order to get rid of the 3. Do it to the other side
x=-5
A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the size of the ant in the photo?
Answer:
92.7?????
Step-by-step explanation:
What is the distance between points A and B? O1/3 O1/2 O 1 1/3 O1 1/2
What is the value of 72-2[3+2(5-1)]
Answer:
50
Step-by-step explanation:
Already done this
Answer:
50
Step-by-step explanation:
i just simplified the expression
What is the image of (2,-3) after a reflection over the y-axis?
A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
Answer down below Branliest Please
Step-by-step explanation:
Marla invested $78,170 in a simple interest account. After 9 years and no additional deposits or withdrawals, the account balance was $150,606.59. Find the interest rate for the account.
Answer:
10% interest
Step-by-step explanation:
150,606.59 - 78,170 = 72,436.59
72,436.59 / 9 = 8,048.51
8,048.51 / 78,170 = 0.1029... = 10%
What is y-intercept for the line y=8x+21
Change Y to 0.
y=8x+21
0=8x+21
-8x=21
[tex]x=\frac{21}{-8\\}[/tex]
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
Find the value of x*
Answer:
8502
Step-by-step explanation:
45930+34729+835029=347230
What is the image point of (-4,2) after a translation left 5 units and down 3
units?
Answer: (-9,-1)
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST
What percentage of the block is shaded in?
Answer:
7/10ths
Step-by-step explanation:
There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.
Answer:
The percentage is 70%.
Step-by-step explanation:
There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.
0.7 as a percentage is 70%.
So 70% of the block is shaded in.
f(x) = 2x² + x – 4
Find f(-10)
NEED IT FAST
Answer:
[tex]f(-10)=186[/tex]
Step-by-step explanation:
We can use substitution to find the value of [tex]f(-10)[/tex].
[tex]f(x) = 2x^2+x-4[/tex]
[tex]f(-10) = 2(-10)^2-10-4[/tex]
[tex]=200-10-4[/tex]
[tex]=186[/tex]
∴ [tex]f(-10) =186[/tex]
Hope this helps :)
Answer:
The value of f(-10) is equal to 186.
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 + x - 4[/tex]
We are told to find the value of:
[tex]f(-10)[/tex]
If we pay close attention, we can see a transition between:
[tex]f(x) \rightarrow f(-10)[/tex]
We have turned x into -10, making x = -10.
Therefore, we can change the value of x in the entire function to -10.
[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]
Therefore, f(-10) = 186.
(12x³+x²)-(18x³-3²+6)
Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.
Answer:
1.) slope = 2
2.) slope = [tex]-2\frac{2}{3}[/tex]
3.) slope = [tex]\frac{2}{3}[/tex]
4.) slope = [tex]\frac{1}{4}[/tex]
5.) slope = [tex]1\frac{8}{9}[/tex]
6.) slope = -2
7.) slope = -3
Step-by-step explanation:
In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.
Now as I said before we know this......
Let "m" be the slope, then....
[tex]m = \frac{y}{x}[/tex]
So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.
1.)
[tex]m = \frac{y}{x}[/tex]
[tex]m= \frac{4}{2}[/tex]
[tex]m = 2[/tex]
2.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{4}{-1.5}[/tex]
[tex]m = -2\frac{2}{3}[/tex]
3.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{3}[/tex]
4.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{1}{4}[/tex]
5.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{8.5}{4.5}[/tex]
[tex]m = 1\frac{8}{9}[/tex]
6.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m= -2[/tex]
7.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]m = -3[/tex]
Is this correct? I need help
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation: