Answer:
c
Step-by-step explanation:
what is the value of the expression below? (8^5/3)^1/5
Answer:
8^1/3
Step-by-step explanation:
(8^5/3)^1/5
8^5/3×1/5
8^5/15
8^1/3
Answer:
Step-by-step explanation:
Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]
[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]
Determine wether the graph shows a positive correlation, negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in this situation.
Answer:
the answer is C.
Step-by-step explanation:
in this situation as time passes, the number of quarts picked decreases.
hope it helps!
Volume of this hemisphere give answer to one decimal place
Answer:
[tex] \implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3}\pi {r}^{3} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 8 \times 8 \times 8 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{2}{3} \times \dfrac{22}{7} \times 512 \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = \dfrac{22528}{21} \\ [/tex]
[tex]\implies \rm Volume_{(Hemisphere)} = 1072.8\: {cm}^{3} \\ [/tex]
The 555 points plotted below are on the graph of y=\log_b{x}y=log
b
xy, equals, log, start base, b, end base, x.
Based only on these 555 points, plot the 555 corresponding points that must be on the graph of y=b^{x}y=b
x
y, equals, b, start superscript, x, end superscript by clicking on the graph.
Answer:
See attachment for graph
Step-by-step explanation:
See comment for correct question
Given
[tex]y = \log_bx[/tex]
Required
The corresponding points on [tex]y =b^x[/tex]
On the graph, we have:
[tex](x_1,y_1) \to (1,0)[/tex]
[tex](x_2,y_2) \to (2,1)[/tex]
[tex](x_3,y_3) \to (4,2)[/tex]
[tex](x_4,y_4) \to (8,3)[/tex]
[tex](x_5,y_5) \to (16,4)[/tex]
First, we solve for b in [tex]y = \log_bx[/tex]
Using laws of logarithm, the equivalent of the above is:
[tex]x = b^y[/tex]
[tex](x_2,y_2) \to (2,1)[/tex] implies that:
[tex]2 = b^1[/tex]
[tex]2 = b[/tex]
Rewrite as:
[tex]b =2[/tex]
So, the equation [tex]y =b^x[/tex] becomes:
[tex]y = 2^x[/tex]
Using the same values of x, we have:
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
[tex](x_3,y_3) = (4,16)[/tex]
[tex](x_4,y_4) = (8,256)[/tex]
[tex](x_5,y_5) = (16,65536)[/tex]
See attachment for graph
The points (1,2), (2,4), and (4,16) are plotted on the graph attached below and this can be determined by using the given data.
Given :
Logarithmic Function -- [tex]\rm y = log_b(x)[/tex] --- (1)
The following steps can be used in order to determine the corresponding points that must be on the graph [tex]\rm x = b^y[/tex]:
Step 1 - Now, substitute the value of x and y that is (2,1) in the expression [tex]\rm x = b^y[/tex].
[tex]\rm 2 = b^1[/tex]
b = 2
Step 2 - Now, substitute the value of b in the equation [tex]\rm y=b^x[/tex].
[tex]\rm y = 2^x[/tex] --- (2)
Step 3 - At (x = 1) the above expression becomes:
y = 2
Step 4 - At (x = 2) the expression (2) becomes:
y = 4
Step 5 - At (x = 4) the expression (2) becomes:
y = 16
The graph of [tex]\rm y = 2^x[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/14375099
A vertical light pole on a hillside casts a
shadow of 55 m long down the hill. If the
angle of elevation of the sun is 48.3° and the
angle of inclination of the hill is 21.4. Find
the height of the pole.
Answer: [tex]37.4\ m[/tex]
Step-by-step explanation:
Given length of shadow [tex]l=55\ m[/tex]
Hill inclination [tex]21.4^{\circ}[/tex]
Angle of elevation for sun [tex]48.3^{\circ}[/tex]
Suppose the length of the pole is [tex]h[/tex]
from the figure, and using sine rule. It can written
[tex]\Rightarrow \dfrac{55}{\sin 41.7^{\circ}}=\dfrac{h}{\sin 26.9^{\circ}}\\\\\Rightarrow h=55\cdot\dfrac{\sin 26.9^{\circ}}{\sin 41.7^{\circ}}\\\\\Rightarrow h=55\cdot 0.68011\\\Rightarrow h=37.40\ m[/tex]
Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE⎯⎯⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯⎯⎯⎯AE¯≅EC¯ and BE⎯⎯⎯⎯⎯⎯⎯≅DE⎯⎯⎯⎯⎯⎯⎯⎯BE¯≅DE¯. Can you prove can you prove that the figure is a parallelogram? Explain.
Given:
In a quadrilateral ABCD, diagonals AC and BD intersect at point E.
[tex]AE\cong EC[/tex]
[tex]BE\cong DE[/tex]
To prove:
The figure is a parallelogram.
Solution:
We know that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
In a quadrilateral ABCD, diagonals AC and BD intersect at point E.
[tex]AE\cong EC[/tex]
[tex]BE\cong DE[/tex]
Since the diagonals AC and BD of a quadrilateral ABCD bisect each other, therefore the quadrilateral ABCD is a parallelogram.
Hence proved.
Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
Answer:
[tex]x + 2x + 34 + 20 = 180 [/tex]
Answer:
x=42
Step-by-step explanation:
Statement Reason
1. m∠AOB = 180° — Def. of straight ∠
2. m∠AOE + m∠EOF + m∠FOB = m∠
AOB —- Parts − whole Postulate
3. x + 2x+34° + 20° = 180° —- Substitution
4. x = 42°. —- Algebra
This is statement and reason! (no problem rsm people)
The table shows the change in yards for 3 plays in a football game. Use the information below to complete statements below.
Answer:
Step-by-step explanation:
Kay do you just not know about "football" ?? what was confusing you about this question??
question 1 ) play C
question 2) play A
question 3) 13 less yards ,
what is the value of x that makes PQ || RS
a. 42
b. 55
c. 51
d. 100
pls give a step to step explanation if you can
Answer:
x = 55
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
3x-65 = 2x-10
Subtract 2x from each side
3x-2x -65 = 2x-2x-10
x-65 = -10
Add 65 to each side
x-65+65 = -10+65
x = 55
Matt covers a distance of 300 miles in 10 hours. Given that he covers an equal distance every hour, find the distance covered by him in 4 hours.
hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?
SHOW YOUR WORK.
Answer:
Solution given:
in 1990
cost of orange[C.P]=$0.56
in 2003
cost of orange[S.P]=$0.86
now
increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3
Now
increased percent [profit%]=?
we have
profit%=profit/c.p*100%
=0.3/0.56*100=53.57℅
Therefore
the oranges appreciated by 53.57%
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per poundFind:-percentage of increasing Solution:-we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.
so,
C.P of 1990=0.56$c.p of 2003=0.86$[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]
we know that,
[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]
According to the question,
[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex] [tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex] [tex]\sf{percentage_{(profit)}=53.57\% }[/tex]What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..
Answer:
Area of label = 100 inch² (Approx.)
Step-by-step explanation:
Given:
Height of label = 8 inches
Diameter of label = 4 inches
Find:
Area of label
Computation:
Design of label = Rectangle
So,
Width of label = 2πr
Width of label = 2(3.14)(4/2)
Width of label = 2(3.14)(2)
Width of label = 12.56 inches
Area of label = Height of label x Width of label
Area of label = 12.56 x 8
Area of label = 100.48
Area of label = 100 inch² (Approx.)
Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)
Answer:
Step-by-step explanation:
The first one is in standard form;
the second one is in point-slope form;
the third one is in slope-intercept form;
the last one is in standard form
These are all lines, so as you can see, there are 3 different formats for writing the equation of a line.
What is the value of y? 72
Answer:
D. 54
Step-by-step explanation:
54 + 54 = 108, and 72 + 180 equals 180 degrees.
This is due to the fact all angles in a triangle add up to 180 degrees.
Last night, the temperature fell from 0°F to -13 1/5 in 4 2/5 hours What was the average temperature change per hour? the problem: -13 1/5 divided by 4 2/5
The temperature drop per hour can be represented by ___?
Answer:
What was the average temperature change per hour -3 degrees per hour
Step-by-step explanation:
Take the temperature drop and divide by the time
-13 1/5 ÷ 4 2/5
Change to improper fractions
-(13 *5+1)/5 ÷ (4*5+2)/5
-66/5 ÷22/5
Copy dot flip
-66/5 * 5/22
Rewrite
-66/22 * 5/5
-3 degrees per hour
Since we are looking for a drop
3 degrees per hour
Please help me with this question please and thank you ❤️
Answer:
x = -1
Step-by-step explanation:
3x - 1/9 (27) = 18
3x - 3
Divide both sides be 3
x = -1
Answer:
x = 7
Step-by-step explanation:
to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :
3x - 1/9(27) = 18
3x - 3 = 18
3x = 21
x= 7
What is the function rule for the line?
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
Consider the following 8 numbers, where one labelled
x
is unknown.
12, 46, 31,
x
, 49, 24, 41, 14
Given that the range of the numbers is 63,
work out 2 values of
x
.
Put the data set in order:
12, 14, 24, 31, 41, 46, 49
In order to find a value of x using the range, x has to be on either end of the data set. Meaning:
x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x
Since the range is the highest value minus the lower value, you can set two equations for x:
x - 12 = 63
x = 75
49 - x = 63
x = -14
Thus, x = 75, -14
Two values of x are -14 & 75
What is range of numbers ?The difference between highest and lowest numbers of the set of numbers is called the range of numbers.
What are the values of x ?The given values are 12, 46, 31, 49, 24, 41, 14
Arranging all the values in ascending order we get,
12, 14, 24, 31, 41, 46, 49
If x will be included, then x is in the 1st position or in the last position.
Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x
The range of the number is 63
So, we get two equations from it.
1 ) 49-x = 63
2 ) x-12 = 63
Solving eq. (1) we get, x = 49-63 = -14
Solving eq. (2) we get, x = 63+12 = 75
So the values of x are -14 & 75
Learn more about range of number here :
https://brainly.com/question/10081172
#SPJ2
Which expression is equivalent to 6(3n-4)?
1)9n-10
2)18n-24
3)18n-4
4) 3n-24
Answer:
[tex]18n - 24[/tex]
Step-by-step explanation:
[tex]6(3n - 4) = 18n - 24[/tex]
Answer:
18n-24
Step-by-step explanation:
6(3n-4)
Open the brackets .......
(6×3n)-(6×4)
=18n_24
What is the solution to the system of equations represented by these two lines?
Question 7 options:
(0, 4)
(2, 0)
(4, 2)
(2, 3)
The answer is: (2, 3) :)
Which table of ordered pairs represents a proportional relationship?
Answer:
fijate bien
Step-by-step explanation:
rewrite the expression by factoring out (y+4).
3y^2(y+4)-7(y+4)
Answer:
[tex]{ \tt{3 {y}^{2}(y + 4) - 7(y + 4) }} \\ = { \tt{(y + 4)( {3y}^{2} - 7) }}[/tex]
What is the area of this figure
Help please
Step-by-step explanation:
A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.
between the 8 in's, theres a gap. 5+4=9,
9+8+8=25. we have the length of the triangle.
9*25 divided by 2= 112.5. thats are area of the triangle.
for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.
Now we add:
112.5+180+16=308.5
hope this helps!
What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.
Given:
Dividing a number by 2 always results in a smaller number.
To find:
The counterexample to the given claim.
Solution:
If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then
[tex]\dfrac{0}{a}=0[/tex]
Let us consider the unknown number be 0. Then dividing a number by 2, we get
[tex]\dfrac{0}{2}=0[/tex]
Here, the result is not a smaller number because [tex]0=0[/tex].
Therefore, the counterexample to the given claim is "Dividing 0 by 2".
Answer:
-1
Step-by-step explanation:
The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
[tex]3x+4x+5x=48[/tex]
[tex]12x=48[/tex]
Divide both sides by 12.
[tex]x=\dfrac{48}{12}[/tex]
[tex]x=4[/tex]
Now, the measures of sides are:
[tex]3x=3(4)[/tex]
[tex]3x=12[/tex]
Similarly,
[tex]4x=4(4)[/tex]
[tex]4x=16[/tex]
And,
[tex]5x=5(4)[/tex]
[tex]5x=20[/tex]
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.
Answer:
The scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
Step-by-step explanation:
The ratio is 3 : 4 : 5 and the perimeter is 48 inches.
Let the scale is p.
The length of sides is 3 p , 4 p and 5 p.
So, the perimeter is
3 p + 4 p + 5 p = 48
12 p = 48
p = 4
So, the scale factor is 4.
Sides are 12 inches, 16 inches, 20 inches.
What is the measure of each interior angle of a regular pentagon?
O A. 108
O B. 180°
O C. 72°
D. 60°
[tex] \Huge \underline {\mathcal {{{\color{orange}{108 \degree}}}}} [/tex]
Option ( A ) is the correct answer.
Sum of all interior angle of a regular pentagon is 540°Number of edges in regular pentagon is 5.Number of vertices in regular pentagon is 5.Which graph represents the function f(x) = √x+3 – 1?
Answer:
look at the png below
Step-by-step explanation:
can yaweeeeeeeee hlp
Answer:
( 25 x 100 )
option 1 is the answer
Step-by-step explanation:
Remaining options are not correct since they don't have 100 as a factor.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 40.0°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WX}{VW}[/tex] = [tex]\frac{57}{68}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{57}{68}[/tex] ) ≈ 40.0° ( to the nearest tenth )
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = - 3
Step-by-step explanation:
The axis of symmetry passes through the vertex ( turning point ) of the graph and is a vertical line with equation
x = c ( c is the value of the x- coordinate of the vertex )
The vertex is (- 3, - 1 ) with x- coordinate - 3 , then
equation of axis of symmetry is x = - 3