Answer:
x=4
Step-by-step explanation:
-8-x=x-4x
Combine like terms
-8 -x =-3x
Add x to each side
-8 -x+x = -3x+x
-8 = -2x
Divide each side by -2
-8/-2 = -2x/-2
4 = x
Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)
Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.
Explanation:
The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]
We need to find the point of intersection of the two lines.
Thus, let us solve the equation by substitution method.
From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.
Hence, we have, [tex]y=6x-4[/tex]
Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,
[tex]6x-4-2 x=8[/tex]
[tex]4x-4=8[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,
[tex]y-2 (3)=8[/tex]
[tex]y-6=8[/tex]
[tex]y=14[/tex]
Thus, the point of intersection of the two lines is [tex](3,14)[/tex]
Therefore, Option D is the correct answer.
Activity
In the earlier Lesson Activity, you found the sizes of mesoplankton and jellyfish. In this activity, you'll determine the most appropriate units for.
measuring the sizes of mesoplankton and jellyfish.
Part A
Earlier, you found the size of a mesoplankton to be 2 x 102 meter. Do you think that meters are the most appropriate unit to represent the size
of a mesoplankton? If not, what do you think would be the most appropriate unit? Write the size of a mesoplankton in the most appropriate unit.
Answer:
No.
The most appropriate unit to measure the mesoplankton is centimeter.
The size is 2 cm.
Step-by-step explanation:
Earlier, you found the size of a mesoplankton to be [tex]2 \times 10^{-2}[/tex] meter.
I think that meters are not the most appropriate unit to represent the size of a mesoplankton.
The most appropriate unit to measure the mesoplankton is centimeter.
Now, 1 meter is equivalent to 100 centimeters.
So, the size of the mesoplankton in centimeter units will be [tex]2 \times 10^{-2} \times 100 = 2[/tex] cm. (Answer)
Final answer:
Meters are not the most appropriate unit for the size of a mesoplankton; millimeters are more suitable considering the small size of these organisms. The size 2 x 10² meters seems to be a typo and should likely be a much smaller value, such as 2 millimeters.
Explanation:
No, meters are not the most appropriate unit to represent the size of a mesoplankton. Considering that a mesoplankton is quite small, much smaller than objects like a piece of paper or a human's wingspan, using meters would not provide a practical or convenient measurement scale.
Since mesoplankton are small, it is important to think about units that are suitable for measuring very small objects. Given the metric units millimeters and centimeters are the next best alternatives. In this case, centimeters, being smaller than meters are a better match for the size of mesoplankton, but even centimeters might be too large.
Therefore, the most appropriate unit of measurement for the size of a mesoplankton is likely to be in millimeters. Therefore, 2 x 10^2 meters (200 meters) appears to be a typo, as mesoplankton would typically measure less than 2 centimeters. Assuming the intended measurement was supposed to be much smaller, converting to millimeters would be the best approach. An actual mesoplankton might measure around 2 millimeters, though this is just an example since the original measurement given seems incorrect.
What is the value of X?
The two given angles are vertical angles and equal each other:
3x + 50 = 6x -10
Now solve for x:
Subtract 3x from both sides:
50 = 3x -10
Add 10 to both sides:
60 = 3x
Divide both sides by 3
X = 20
What is 183 for 4 as a unite rate
Answer:
45.75
Step-by-step explanation:
183/4=45.75.
Answer:
=45.75
Step-by-step explanation:
This is a fraction equal to
183 ÷ 4
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
182
÷ 4
4
÷ 4
=
45.75/1
=
45.75
= 45.75
a coast redwood tree is about 10 times as tall as an apple tree one of the tallest coast redwood even measured was 254 feet fall how tall would you expect an apple tree to be
Answer:
25.4 feet tall
Step-by-step explanation:
254 divided by 10 equals 25.4
The height of the apple tree that you expect an apple tree to be 25.4 feet.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A coast redwood tree is about 10 times as tall as an apple tree.
Let 'x' and 'y' be the height of redwood and apple trees. Then the equation is given as,
y = x / 10
One of the tallest coast redwoods even measured 254 feet tall. Then we have
y = 254 / 10
y = 25.4 feet
The height of the apple tree that you expect an apple tree to be 25.4 feet.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
od=21(13)
ed= }(13)
od=2(13)
d=13²
Please help me!
Answer:
od=2(13)
Step-by-step explanation:
Diameter of a circle is two times of its radius.
Answer: It wouldn’t be 13 to the second power you have to divide 13 by 2 then do that by the second power 13/2=6.5 than 6.5 to the second power so it would be 13x3.14=40.82
Step-by-step explanation:
simplify the numerical expression 5-2+12÷4
it is 3r.75 it totally right
Answer:
6
Step-by-step explanation:
Just remember the order of operations (PEMDAS)
5 - 2 + 12 / 4, first divide
5 - 2 + 3, then proceed from left to right
3 + 3 = 6
what is 10 times as much as 400
Your answer would be 4000.
The only step needed:
Multiply 400 by 10.
400 ---> 400×10 ---> 4000
Hope this helps, :)
Which is the rate of change for the interval between 2 and 6 on the x-axis?
–3
-one-third
one-third
3
Answer:
3
Step-by-step explanation:
I think you misses attaching the photo, so please have a look at my photo for your better understanding.
We know the formula for rate of change of the parabola line:
[tex]\frac{f(b)- f(a)}{b-a}[/tex]
Given here:
a= 2 => f(a) = 2
b=6 => f(b) = 2
Substitute all the values into the function, we have:
[tex]\frac{14-2}{6-2} = 3[/tex]
So the rate of change is 3
Answer:
D.) 3
Step-by-step explanation:
Got it right on the assignment
What must be subtracted from a3b+6a2b2 -7ab+4 to get -7a2b2+2a3b+6ab-1?
[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]
Step-by-step explanation:
Let x be the expression, we have to find must be subtracted from the given expression, to get the answer.
Now we have to combine the like terms, before that we have to move x from LHS to the RHS , so that we will get the required expression.
[tex]a^{2} b+6 a^{2} b^{2}-7 a b+4-x=-7 a^{2} b^{2}+2 a^{2} b+6 a b-1[/tex]
[tex]a^{3} b+6 a^{2} b^{2}-7 a b+4+7 a^{2} b^{2}-2 a^{3} b-6 a b+1=x[/tex]
Now arranging the like terms as,
[tex]\begin{array}{l}a^{3} b-2 a^{3} b+6 a^{2} b^{2}+7 a^{2} b^{2}-7 a b-6 a b+4+1=x \\-a^{3} b+13 a^{2} b^{2}-13 a b+5=x\end{array}[/tex]
So the expression is "[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]"
If x varies inversely as y, and x = 7 when
y=3, find y when x = 9.
Step-by-step explanation:
x=k/y------(1)
k=xy
k= 7×3
k=21
from equation 1
x=k/y
y=k/x
y=21/9
y = 2.33
Answer:
3.85714285714
Step-by-step explanation:
7 = 3
9 = y
9*3=27
27/7 = 3.85714285714
Solve for n
5n - 3 = 17
Answer: n=4
Step-by-step explanation:
1) add 3 to both sides: 5n=20
2) divide by five on both sides: 5n/5 and 20/5
3) answer n=4
Answer:
17+3=20
20/5 = 4
5(n)-3 + 17
5(4) - 3 = 17
20-3 = 17
n = 4
Step-by-step explanation:
If you wouldn’t mind helping me I would greatly appreciate it. I’ve been having trouble on problems like this, and I have no one around to help, so I would be extremely grateful if you took the time out of your day to help me.
Andrea makes and sells anklets. She will discount the regular selling price of the anklets 60% this weekend. Which value is equivalent to this percent?
A. 3/5
B. 3/10
C. 6/8
D. 6/100
how to find area of polygon please explain
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Solve the inequality for x 5(x-10) < 115
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<33
Interval Notation:
(−∞,33)
Determine the common ratio and find the next three terms of the geometric sequence.
i, -1, -i, ...
a.
i; 1, i, -1
c.
-i; -1,- i, 1
b.
i; -1, -i, 1
d.
-i; 1, i, -1
Please select the best answer from the choices provided
A
B
C
D
Answer:A
Step-by-step explanation:
Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and One-halfy = –4x – 3 y = –8x – 6 and y = 8x – 6 y = –8x – 6 and –y = 8x + 6
Answer:
y = –8x – 6 and y = 8x – 6
Step-by-step explanation:
-8x - 6 = 8x - 6
16x = 0
x = 0
y = 8(0) - 6 = -6
The only solution is (0,-6)
Answer:
C is the answer
Step-by-step explanation:
Algebra 1, Section 7.09
Answer:
b. 4
Step-by-step explanation:
Given f(x) = 4x - 4 and g(x) = x - 1, we can find (f/g)(x) by dividing f(x) by g(x):
(f/g)(x) = (4x - 4)/(x - 1)
Now, substituting x = -4 into the expression
(f/g)(-4) = (4*(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4
Therefore, the correct answer is b. 4.
Given the function g(x) = x - 1, let's solve (f/g)(-4) using the function f(x) = 4x - 4.
To find (f/g)(-4), we need to evaluate the expression (f(x)/g(x)) at x = -4.
First, let's find the value of f(x)/g(x) for any x:
(f/g)(x) = f(x)/g(x) = (4x - 4)/(x - 1)
Now, substituting x = -4 into the expression:
(f/g)(-4) = (4(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4
Therefore, the correct answer is b. 4.
What is the volume of the rectangular prism?
Answer:
144 ft cubed
Step-by-step explanation:
Multiply 576 by 1/4.
576 x 1/4 = 144
Answer:
[tex]9ft^{3} [/tex]
Step-by-step explanation:
If each cube has an edge length of 1/4;
[tex] \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} [/tex]
Each cube has a volume of 1/64 feet cubed. Now, multiply by 576.
[tex] \frac{1}{64} \times \frac{576}{1} = \frac{576}{64} [/tex]
[tex]576 \div 64 = 9[/tex]
The rectangular prism has a volume of 9 feet cubed.
what is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.
diameter is 12 cm.
The volume of the sphere is 900 cm³
Step-by-step explanation:
Step 1: Given the diameter of the ball = 12 cm. Find radius.Radius = diameter/2 = 12/2 = 6cm
Use the formula for volume of a sphere to find the volume.Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
two different fractions where the LCD (lowest common denominator) is 20.
Answer:
1/4 2/5 4x5=20
Step-by-step explanation:
Katie has 6500 in her savings account. If it earns 6% interest every month how much savings does she have in her account in over half a year
Step-by-step explanation:
First, you recognize the algorithm for the equation: A=P(1+r)^n. This is the algorithm for interest. P is the amount of initial money (in this case, 6500), r is the interest rate (6%, or 0.06), and n is the number of times it is being compounded. Since half a year is given to me, 6 months is what I will be using, or just 6.
Next, plug in the numbers. The equation is now: A=6500(1+0.06)^6.
Now time to solve. First add what's in the parenthesis, and put it to the power of 6, for 6 months. Then multiply that amount to the initial dollar amount; 6500. This will leave you with 9,220.37.
PLS HURRY IN A TEST!!!
Based on the graph, which of the following statements are true? Select all that apply.
A. When Jonah babysits one hour, he earns $7.50.
B. Jonah earns $20 to babysit 5 hours.
C. The equation e = 4h can be used to describe this situation.
D. The number of hours Jonah works depends on how much he earns.
B. Jonah earns $20 to babysit 5 hours.
D. The number of hours Jonah works depends on how much he earns.
Hope this helps you!
plz give me brainliest :(
I want to buy a combination of Dr.pepper and sprite. dr pepper cost 2.98 each and sprite is on sell for 1.99 each. I need at least 8 total and i can spend more than 20 dollars
High School
There are quite a few possible combinations that are minimum 8 sodas, and under $20.
1. 4 Dr. Peppers and 4 Sprites. $2.98 times 4 = $11.92. $1.99 times 4 = $7.96. $7.96 + $11.92 = $19.88.
2. 3 Dr. Peppers and 5 Sprites. $2.98 times 3 = $8.94. $1.99 times 5 = $9.95. $9.95 + $8.94 = $18.89.
3. 2 Dr. Peppers and 6 Sprites. $2.98 times 2 = $5.96. $1.99 times 6 = $11.94. $11.94 + $5.96 = $17.90.
4. 2 Dr. Peppers and 7 Sprites. $2.98 times 2 = $5.96. $1.99 times 7 = $13.93. $5.96 + $13.93 = $19.89.
5. 1 Dr. Pepper and 7 Sprites. $2.98 times 1 = $2.98. $1.99 times 7 = $13.93. $2.98 + $13.93 = $16.91.
6. 1 Dr. Pepper and 8 Sprites. $2.98 times 1 = $2.98. $1.99 times 8 = $15.92. $15.92 + $2.98 = $18.90.
I hope this helps!
A utility pole is supported by two wires, one on each side, going in the opposite direction. The two wires form a 75-degree angle at the utility pole. if the wires are 12 meters and 16 meters long and secured to the ground, find the distance between the wires on the ground.
(Cosines problem)
Answer:
The required distance is 17.34 meters.
Step-by-step explanation:
The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.
Now, we have to calculate the distance between the wires on the ground.
Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.
Applying the formula of properties of the triangle, if the length required is x, then
[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]
⇒ 99.38 = 144 + 256 - x²
⇒ x = 17.34 meters. (Answer)
Find the range f(x) =-2x-5 for the domain (-2,-1,1,2).
Answer:
{ - 9, - 7, - 3, - 1 }
Step-by-step explanation:
To obtain the range substitute the values of x from the domain into f(x)
f(- 2) = - 2(- 2) - 5 = 4 - 5 = - 1
f(- 1) = - 2(- 1) - 5 = 2 - 5 = - 3
f(1) = - 2(1) - 5 = - 2 - 5 = - 7
f(2) = - 2(2) - 5 = - 4 - 5 = - 9
range is { - 9, - 7, - 3, - 1 }
The remainder of 3x^3 + 4x+ 5 / x + 3 is
Answer:
Step-by-step explanation:
is -7
^^^!!! 25 pOinTs (seriously help)
Answer:
A) Θ = 2A/r²
Step-by-step explanation:
A = Θr²/2
(Multiple both sides by 2)
2A = Θr²
(Divide both sides by r²)
2A/r² = Θ
The circumference of a circle is 8π cm. What is the circle's area? 32 π cm 2 16 π cm 2 8 π cm 2 64 π cm 2
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
we know that the formula for finding area of circle is A=[tex]\pi[/tex]r^2. and circumference of circle can be calculated by c=2[tex]\pi[/tex]r.
first we need find radius from circumference formula and put in area formula to get the desired result.
for radius, r=c/2[tex]\pi[/tex] =8[tex]\pi[/tex]/2[tex]\pi[/tex] we get 4. now put in area formula as shown above.
we get , A=[tex]\pi[/tex]*(4)^2 =[tex]\pi[/tex]*4*4 =16[tex]\pi[/tex]
Answer:
The answer is B 16
Step-by-step
What are the x-intercept and vertex of this quadratic function?
g(x)=-5(x – 3)^2