Answer:
[tex]\bold{y=\dfrac{\sqrt[3]{\bold x}}x=\bold \big x^{-\frac23} }[/tex]
Step-by-step explanation:
[tex]\log_2x=\dfrac3{\log_{xy}2}\qquad\qquad\qquad\quad x>0\,,\ y>0\\\\\\\log_2x=3\cdot\dfrac1{\log_{xy}2}\\\\\\\log_2x=3\cdo\log_2(xy)\\\\\log_2x=\log_2(xy)^3\quad\iff\quad x=(xy)^3\\\\x=x^3y^3\\\\\dfrac{x}{x^3}=y^3\\\\y=\sqrt[\big3]{\dfrac{x}{x^3}}\\\\y=\dfrac{\sqrt[3]x}x[/tex]
{or: [tex]\dfrac{x}{x^3}=y^3\quad \implies\quad y=\left(\dfrac{x}{x^3}\right)^\frac13=\left(\big x^{-2}\right)^\frac13=\big x^{-\frac23}[/tex]}
Evaluating expressions - Matching Worksheet Match the expressions to their math sentence form. 1. Write the number form for the difference of 7 and n. a. 7-n b. 5 y 2. The expression for the sum of g and 34. C. 8 xt 3. The expression for the quotient of 5 and y. d. y+ 6 4. The expression for the product of 8 and t. e. 9 + 34 5. The expression for the sum of y and 6. 1 f. 9 + e 6. The expression for the difference of z and 5.
Answer:
a. 7-n
Step-by-step explanation:
1. Write the number form for the difference of 7 and n.
= 7 - n
a. 7-n
2. The expression for the sum of g and 34
= g + 34
3. The expression for the quotient of 5 and y.
= 5/y
b. 5 / y
4. The expression for the product of 8 and t.
= 8 × t
= 8t
C. 8 x t
5. The expression for the sum of y and 6
= y + 6
d. y+ 6
6. The expression for the difference of z and 5.
= z - 5
Зm + 4р
m=3 p= -3
will give the crown there are 16 questions left
Answer:
I would say 21 sorry if it was wrong
Step-by-step explanation:
3 x 3 is 9.
4 x 3 is 12.
9+12 is 21.
Drag each expression to show whether it is equivalent to 6(c+6), 6c+6, or neither.
Answer:
it is equivalent
Step-by-step explanation:
6(c+6)
6c+6
Can someone please explain how I do this problem?
Step-by-step explanation:
click on the number rates on the graph so basically you want to put the answer in the numbers where they said, so the y would go in the middle on 3 and 4 and the x would just go in the 3What is the slope of the line that contains these points?
Answer:
6
Step-by-step explanation:
slope = delta y / delta x = 26 - (-10) / 21 - 15
= 36 / 6 = 6
Answer:
6
Step-by-step explanation:
yw
If a train travels 270 mi. in 9 hr., what is its average speed?
Answer:
The average speed of the train = 30 miles per hour
Step-by-step explanation:
Given
Total Distance traveled = 270 miTotal Time taken = 9 hTo determine
what is its average speed?
The average speed of the train can be calculated using the formula
Average Speed = Total Distance / Total time
= 270 / 9
= 30 miles per hour
Therefore, the average speed of the train = 30 miles per hour
Please answer thank you
Answer:
0. If it's a horizontal line, then the slope if automatically 0. if the line went straight up the slope would be "no slope" or "unidentified" your problem has a horizontal line so the slope is 0
Anna has a total of 36 goldfish in her aquarium, some are orange and some are black. The number of orange goldfish is 7 more than twice the number of black goldfish. Which system of equations below can be used to describe the number of black and orange goldfish in Anna's aquarium?
Answer:
x + y = 36.....Equation 1
x = 7 + 2y...... Equation 2
Step-by-step explanation:
Let the number of:
Orange goldfish = x
Black gold fish = y
Anna has a total of 36 goldfish in her aquarium, some are orange and some are black.
x + y = 36.....Equation 1
The number of orange goldfish is 7 more than twice the number of black goldfish.
x = 7 + 2y...... Equation 2
We can rewrite this as:
x - 2y = 7..... Equation 2
The system of equations below that can be used to describe the number of black and orange goldfish in Anna's aquarium is :
x + y = 36.....Equation 1
x = 7 + 2y...... Equation 2
I think it’s
X + y= 36
X - 2y= 7
I hope this helps you have a good day
write the standard form point slope form and slope intercept form of a line that passes through (-4,3) and (0,4)
Answer: See explanation
Step-by-step explanation:
Slope = 4 - 3 / 0 - (-4) = 1/4
Slope = 1/4
Point slope form: y - y₁ = m (x - x₁)
y₁ = 3
x₁ = -4
y - 3 = 1/4 ( x - [-4])
y - 3 = 1/4 (x + 4)
y - 3 = 1/4x + 1
Add 3 to both sides
y = 1/4x + 4
Standard Form: Ax + By = C
Point slope form- y = 1/4x + 4
Standard form:
y = 1/4x + 4
Subtract 1/4x from both sides
-1/4x + y = 4 or 1/4x - y = -4
Slope intercept form: y = mx + b
m = 1/4
y-intercept = 4
y = 1/4x + 4
Hope this helped!
3x - 2y = -1 ; -x + 2y = -5
Answer: 1
−x+2y=−5;3x−2y=−1
Step: Solve−x+2y=−5for x:
−x+2y=−5
−x+2y+−2y=−5+−2y(Add -2y to both sides)
−x=−2y−5
−x
−1
=
−2y−5
−1
(Divide both sides by -1)
x=2y+5
Step: Substitute2y+5forxin3x−2y=−1:
3x−2y=−1
3(2y+5)−2y=−1
4y+15=−1(Simplify both sides of the equation)
4y+15+−15=−1+−15(Add -15 to both sides)
4y=−16
4y
4
=
−16
4
(Divide both sides by 4)
y=−4
Step: Substitute−4foryinx=2y+5:
x=2y+5
x=(2)(−4)+5
x=−3(Simplify both sides of the equation)
Answer:
x=−3 and y=−4
Step-by-step explanation:
At a rental car company, a customer’s daily rental charge D (in dollars) for m miles driven is determined by the function D = 35 + 0.4m. PART B: Select the correct meaning of the y-intercept of this function.
A. The y-intercept is the amount that a customer will pay before the charge for the miles driven is added.
B. The y-intercept is the amount that a customer will pay for the miles driven.
C. The y-intercept is the total amount of money that a customer will pay.
D. The y-intercept is the corresponding y-value when the x-value is 10.
if the scale factor of figure a to figure b is 4:5, find the value of x.
i’m not sure if it’s correct
Answer:
x=12Step-by-step explanation:
according to the question
the equation is
[tex] \frac{4}{5} = \frac{x}{15} [/tex]
[tex]5x = 60[/tex]
[tex]x = 12[/tex]
Prove the identity.
sin x(1 + cot^2x)=csc x
Please help me I really need help I really need help please help me please
Answer:
p = 11m + 12Step-by-step explanation:
Initial number = 12Monthly addition = 11Required relationship:
p = 11m + 122+2 the reason I get these hard probs is bc I am in 8th. Please help. I made it so if someone answers this very hard question you get 58 points
Answer:
hmm your answer would be 4
Step-by-step explanation:
2+2=4
Answer:
2 plus 2 is 4 because that is the answer so yeah
How do I do this problem (similar right triangles) please explain how you did it!!
ASAP!!!
Answer:
by phythagoras theorem
(c+b)^2=(8)^2+(6)^2
(b+c)^2=64+36
(b+c)^2=100
b+c=√100
b+c=10.
by phythagoras theorem
(8)^2=(a)^2+(b)^2
64-b^2=a^2. {1}
by phythagoras theorem
(6)^2=(a)^2+(c)^2
36-c^2=a^2. {2}
In equation 1 and 2,
64-b^2=36-c^2
64-36= -c^2+b^2
28= b^2-c^2
28=(b+c)(b-c)
28=10(b-c)
b-c=28/10
b-c=2.8.
b+c=10
b-c=2.8
subtract both equations
c=3.6
option A is correct.
What is the slope of a line that passes through the points (8,-3) and (-2,5)
Answer:
-4/5
Step-by-step explanation:
PLEASE HELP ME !!!
Please !!!!!!
Can someone please help ( I need to graph to )
Answer:
It would take him 4 days.
Step-by-step explanation:
For graphing get your paper. the line numbers you would go by ones on the x axis and ones on the y axis. Put a dot at (0,0) the go up 1, and to the right twice. do this over and over again until you can't see any more points. then make a line with the points
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
The height of the tree is 19.81 m
Step-by-step explanation:
Trigonometric Ratios
The ratios between the sides of a right triangle are called trigonometric ratios.
If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.
This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.
The trigonometric ratio that relates both legs is the tangent:
[tex]\displaystyle \tan 33^\circ=\frac{X}{30.5}[/tex]
Solving for X
[tex]X=30.5\cdot \tan 33^\circ[/tex]
Using a calculator:
X = 19.81 m
The height of the tree is 19.81 m
What is 2p + 3p + 5 -10 ?
Answer:
5p-5
Step-by-step explanation:
Using the information from the previous problem, what score would you expect someone to get if they spent 1
hour studying?
0 45
75
90
55
Graph the solutions of the linear inequality −2x + 2y ≥ −4.
Answer:
Step-by-step explanation: y= x -2 i hope this helps
If 80% of the 400 students at Washington Junior High School passed the ISTEP test, how many students did not pass the ISTEP test?
Answer:
80 students
Step-by-step explanation:
400/80%=320
400-320=80
Someone help I will give u 5 points
find the volume of the right triangle retangular prism
8x4x6
Answer choices:
A.80cm^3
B.96cm^3
C.192cm^3
D.768cm^3
You deposit $3,348 into a savings account that earns 5% simple interest each year. If you save the money for 6 years, how much interest will you have earned
What is the slope of the line?
Thanks if you help
Answer:
The slope of the line is 2.
Step-by-step explanation:
you can simply do this by using the method rise/run. You count how much it takes to get from one point to the other. Go Upwards twice and to the right once which gives you 2/1 which is 2.
two parallel lines are cut by a transversal as shown below. Suppose m<8=131. Find m<1 and m<3.
Answer:
m∠1 is 49° and m∠3 is 49°
Step-by-step explanation:
In the given figure
∵ There are 2 parallel lines
∵ A transversal cuts them
∴ ∠4 and ∠8 are corresponding angles
→ Corresponding angles are equal in measures
∴ m∠4 = m∠8
∵ m∠8 = 131°
∴ m∠4 = 131°
∵ ∠1 and ∠4 formed a pair of linear angle
∵ The sum of the measures of the linear angles is 180°
∴ m∠1 + m∠4 = 180°
→ Substitute ∠4 by 131°
∴ m∠1 + 131° = 180°
→ Subtract 131 from both sides
∵ m∠1 + 131 - 131 = 180 - 131
∴ m∠1 = 49°
∵ ∠1 and ∠3 are vertically opposite angles
∴ m∠1 = m∠3
∵ m∠1 = 49°
∴ m∠3 = 49°
help ill give branliest if right
Answer:
C the tree grew 6 inches in 2 months
hope it helps and have a wonderful day