Answer:
x=27
Step-by-step explanation:
To evaluate the expression: [tex][(3^{-5})(3^4)]^3[/tex]
Step 1: Innermost group, apply the product of powers ([tex]a^x \times a^y =a^{x+y}[/tex]
Therefore:
[tex](3^{-5})(3^4)=3^{-5+4}=3^{-1}[/tex]
We then have:
[tex]=[3^{-1}]^3[/tex]
Step 2: Apply the power of a power
[tex][3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}[/tex]
Step 3: Apply the negative exponent
[tex]3 ^{-3} =\dfrac{1}{3^3}[/tex]
Step 4: Simplify
[tex]\dfrac{1}{3^3}=\dfrac{1}{27}[/tex]
Therefore, the value of x in the simplified expression is 27.
Answer:
27
Step-by-step explanation:
:)
Who wants to help I really really need it ❤️
Answer:
4^8
Step-by-step explanation:
4^5 * 4^3
We know that a^b* a^c = a^(b+c)
4^(5+3)
4^8
SIMPLIFY (2a^2)^3/4a^4 please help
Answer: 2a^2
Step-by-step explanation:
2^3 = 8
8 / 4 = 2
————————
(a^2)^3 = a^6
a^6 / a^4 = a^2
solve 4x=20 is the question. i need to find x
Answer:
5
Step-by-step explanation:
20/4=5
Answer: x=5
Step-by-step explanation:
4x=20
divide by 4 on each side to cancel it out
x=5
How would I do this? solve for X -14 - 3x = -5x + 8
Answer:
11
Step-by-step explanation:
-14-3x=-5x+8
-14+2x=8
2x=22
x=11
Hope this helps!
Answer:
x=11
Step-by-step explanation:
-14-3x=-5x+8
-14+2x=8
2x=22
x=11
Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB?
Answer:
AB=6 Units
Step-by-step explanation:
Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively
A'B' = 15 UnitsB'C' = 9.5 UnitsBC = 3.8 unitsWe are to determine the length of AB. To do this, we first determine the dilation factor.
[tex]D$ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5[/tex]
Therefore:
[tex]\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\$Therefore, AB=6 Units[/tex]
Answer:
6 units
Step-by-step explanation:
edge 2022
Which of the equations below represents a line perpendicular to the y-axis?
O A.
y= 6x
B. y= -6
C.
x = 6
D.
y=x
Answer:
B. y = -6
Step-by-step explanation:
You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.
Answer:
i think that the answer is b. y=-6
The temperature on Tuesday was -5°C. The temperature on Wednesday was 5°C, write an inequality that correctly compares the temperatures .
Answer:
The temperature was higher on Wednesday than on Tuesday.
Step-by-step explanation:
-5<5
Please help! Please help me answer this question,
Answer:
A-4
B-5
C-1
D-3
E-2
Step-by-step explanation:
They all have the same explanation u have to find the point where the line coincides with the x and y axis
E.g on how to work out
Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate
C=2x+y=4
To get x 2x+0=4 x=2
Y 0+y=4 y=4
After doing so u locate the line that passes through (2,0),(0,4)
Hope it helps
Answer:
Can you send a screen shot of each graph because its hard to see the coordinate
Step-by-step explanation:
Help help help pleaseee❤️
6566
Step-by-step explanation:
The answer is 6566.
A rectangle is divided into 15 identical squares arranged in three rows. What is the perimeter of the rectangle, in centimeters, if the area of one little square is 9 cm2? (A) 24 (B) 48 (C) 60 (D) 75 (E) 105
Answer:
48 cm
Step-by-step explanation:
Here, we are concerned with finding the perimeter of the rectangle.
Now, since the square has an area of 9 cm^2, it means that the squares has a side of 3 cm each since the area of a square is s^2
So now, there are 5 squares in a row, meaning in a straight stretch , left to right or right to left, there are 15 squares. So the total length here is 5 * 3 = 15 cm
Now, moving column-wise, from top to bottom, since we have 3 rows, what this means is that per column of the rows, there are 3 squares. So the total length here becomes 3 * 3 = 9 cm
So we have a rectangle 9cm by 15cm
The perimeter is thus 2(L + B) = 2(15 + 9) = 2(24) = 48 cm
find the value of x. m<2= x + 52
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
A 2-pack of toy cars costs $0.22. What is the unit price?
Answer:
Unit price of toy car =0.22/2 = 0.11... hope it helps.....Answer:
$0.11
Step-by-step explanation:
2 packs of toy cars cost $0.22.
1 pack of toy cars will cost:
0.22/2=$0.11
0.11 dollars.
Lines a and b are perpendicular. The equation of line a is y= 1/3+ 3. What is the
equation of line b?
Answer: y= -3x -4
Step-by-step explanation: the lines are perpendicular, so
the slope of line b is the negative reciprocal of the slope of line a. So -3x
From the graph you see that the y-intercept is -4
In slope intercept form the equation is y= -3x -4
convert 101101 base 2 to base 10
Answer:
to convert 101101 in base 2to base 10 we have to multiply with(2 power n) with the each digit and then sum them
Step-by-step explanation:
1 x 32=32
0 x 16=0
1 x 8=8
1 x 4=4
0 x 2=0
1 x 1=1
32+8+4+1=45
so (101101 in base 2 is 45 in base 10.)
Answer:
[tex]101101_2\:\:\mathrm{converts\:to}\:\:45_{10}[/tex]
Step-by-step explanation:
[tex]1\times 2^5+0\times 2^4+1\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0\\\\=45[/tex]
Best Regards!
andy has 310$ in his account. each week,w, he withdraws 30$ for his expenses. which expression could be use if he wanted to find out how much money he had left after 8 weeks?
Answer:
The expression is (310-30)^8
Step-by-step explanation:
ezer lol lol.
Write a quadratic function that only has one root
Answer:
y= x squared.
Step-by-step explanation:
When graphed, the parabola only has an x-intercept at (0,0). Since a root is another word for an x-intercept, it only has one root.
I hope this helps, and I hope you have a good day.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 26, adjacent side A C is 24, opposite C B is 10. For the triangle above, find sin A. a. 36° c. 0.9323 b. 50° d. 0.385
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
ΔACB is a right triangle with AC = 24 units, BC = 10 units and AB = 26 units
For angle A,
Adjacent side = AC
Opposite side = BC
Hypotenuse = AB
SinA = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{10}{26}[/tex]
SinA = 0.3846
≈ 0.385
Therefore, Option (D) will be the answer.
Please help me……………………
Answer:
B
Step-by-step explanation:
5(x-2)(x+4)>0 can be simplified as (x-2)(x-4)>0, you just divide both sides by 5.
You can temporarily treat the inequality sign as an equals sign. So in a regular equation like (x-2)(x+4)=0, we can split this up into two different equations:
(x-2)=0 and (x+4)=0
This gets you x=2 and x=-4. However, since there is not actually an equals sign in this equation, you have to find another way to figure out which way the inequality sign goes for both x-values. But by this point you already know the x-values that will be employed in the inequality!
Now when you look at A, B, C, and D, you can eliminate options:
The only options that include an inequality with 2 and -4 are A and B. So it has to be one of the two.
Proceed by plugging in possibilities for each of the solutions given.
Try A: x>-4 and x<2
-3>-4 so I will use -3 as the x-value:
5(-3-2)(-3+4)>0
5(-5)(1)>0
-25>0
This is not true so A is not the answer.
Try B: x<-4 or x>2
-5<-4 so I will use -5 as the x-value:
5(-5-2)(-5+4)>0
5(-7)(-1)>0
35>0
This is true so B could be the answer. Now let's try the second x-value possibility, when x>2.
3>2 so I will use 3 as the x-value:
5(3-2)(3+4)>0
5(1)(7)>0
35>0
Also true, so B is correct.
The following scatter plot demonstrates the relationship between to two variables x and y. The scatter plot shows what. correlation between the variables
Answer:
Positive correlation
Step-by-step explanation:
From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.
In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.
This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.
The relationship between the variables on the scatter plot it a positive correlation
From the graph, we have the following highlights
As the x-values increase, the y-values also increase The points appear to be on a straight lineWhen the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.
Hence, the relationship between the variables on the scatter plot it a positive correlation
Read more about correlation at:
brainly.com/question/7289927
Consider this system of equations. Wich equation represents the first equation written in slope-intersept form? 5x-2y=10 y=1/4 x + 1
Answer:
y=1/4 x + 1
Step-by-step explanation:
y=mx+b
Rápido y fácil, trigonometría. Urgente porfavor
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ?
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Answer:
45b + 43 cents
Step-by-step explanation:
45b + 43 cents
If you can, please help answer this algebra question. Which terms are true about the given function?
Answer:
third option
Step-by-step explanation:
When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°
Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
48÷4=g
Step-by-step explanation:
Answer:
g=48 divided by 4
Step-by-step explanation:
consumer agency rates kitchen appliances on a 100-point scale. The ratings for electric stoves are shown on the line plot below.
A. Describe the distribution of the data in terms of the context and the overall pattern represented.
B. Find the range, mean, median, and mode of the data given in the line plot. Describe the meaning of each measure as it relates to the context, and show your work.
C. Explain whether or not the mean would be a good measure for accurately predicting a rating for an electric stove. Give specific information and calculations from the context to support your argument.
Step-by-step explanation:
There is no linear diagram showing the classification of electric stoves.
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
Use the data for each plant’s growth to determine and compare the rates of change. How fast does Plant A grow each week? How fast does Plant B grow each week? Which plant grows faster each week?
Answer:
1.8
1.4
plant A 0.4
Answer:
1.8
1.4
plant A 0.4
Step-by-step explanation:
What is the y-intercept of the graph below?
Answer:
C
Step-by-step explanation:
The y intercept is (0, 2) because that is the point where the line crosses the y-axis
22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
Answer:
100
Step-by-step explanation:
Let's convert both numbers into fraction form.
let x=8.33 bar
x=8.33 bar
10x=83.33 bar
9x=75
x=25/3
[tex]\sqrt{144}=12[/tex]
[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]
The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.
Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:
= 25/3 × √144
= 25/3 × 12/1
= 25 × 4
= 100
Therefore, the value is 100.
Read related link on:
https://brainly.com/question/16832837
