Step-by-step explanation:
I think you made some mistakes in the problem definition.
I guess you mean
9 = (1/27)^(a+3)
let's think about how to create 9 out of 1/27 just by using exponents.
we note that 27 is 3³. and therefore the cubic root of 27 is 3.
so,
(1/27)^(1/3) = 1/3
because the exponent 1/3 means "cubic root". an exponent 1/2 means square root. and so on.
making the exponent negative means 1/...
so,
(1/27)^(-1/3) = 3
and now, with what exponent operation can we turn 3 into 9 ?
by squaring it.
so,
((1/27)^(-1/3))² = 9
putting an exponent on an exponent means to multiply the exponents during simplification.
therefore,
((1/27)^(-1/3))² = (1/27)^(-2/3) = 9
that means
a + 3 = -2/3
a = -2/3 - 3 = -2/3 - 9/3 = -11/3
so, the first answer option is correct.
Sofia used colorful glass beads to make a
bracelet. She repeated the same pattern
of colored beads six times. If the length of
one pattern measures three fourths of an
inch in length, what is the total length of
the bracelet Sofia made?
Answer:
11.424cm
Step-by-step explanation:
3/4 of an inch = length of one pattern.
3/4 = 0.75 ( 1.905cm)
1.905 x 6 = 11.424cm
The total length of the bracelet Sofia made is 11.424 centimetres.
Note: I am not sure if this is completely right and meant to be in cm but I tried to help :)
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the modePLEASE HELP!! I NEED HELP ON MY MATH
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
The sum of the squares of two positive numbers is 29 and the difference of the squares of the numbers is 21.
please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
Gavin has 300 pencils
15% of the pencils need to be sharpened
Work out how many pencils need to be sharpened
Answer:
45 pencils
Step-by-step explanation:
15%/100% ×300
15% ×3
=45 pencils that needed to be sharpened and it is at easy as that
15% of 300 =
10%= 30
5%= 15
30+15 = 45
45 pencils need to be sharpened
2 1/2 * 7 7/3 *- 5 3/7
Answer:
-126.66
Step-by-step explanation:
£££££££££££££₩₩₩¥₩₩
What’s the answer????
Answer:
5
Step-by-step explanation:
Which is more, 6 quarts or 26 cups?
Answer:
26 cups
Step-by-step explanation:
24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.
Therefore, 26 cups = 6.5
6.5>6
26 cups is larger than 6 quarts.
Answer the questions below based on the two quadratic functions.
Answer:
The vertex of Function 2 is at (2,7)
The function that has the smaller minimum value is Function 1
The smaller minimum value is 3
Step-by-step explanation:
hope this helps :)
nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces
Answer:
$41.60
Step-by-step explanation:
5.30 *4= 21.20
6*3.80=20.40
20.40+21.20=41.60
If ur good with fractions percentages and decimals this one is for you !!!!
Check pic
Thanks :] xx
Answer:
1 20%, 0.2
2 1/4, 0.25
3 50%, 0.5
4 6/9
Step-by-step explanation:
x^2-y^2=16
y^2=-x+4
I need help to solve the system of equations
im stuck please help
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
Need help
1000x+27x+5.5=9236
Answer:
x = 8.98782862707
Step-by-step explanation:
Base on the given we can infer that we are solving for x:
Given equation:
1000x+27x+5.5=9236
Combine similar terms
1027x + 5.5 = 9236
Subtract both side by 5.5
1027x + 5.5 = 9236
-5.5 -5.5
-------------------------------------
1027x = 9230.5
Now divide both sides by 1027x
9230.5 / 1027
x = 8.98782862707
[RevyBreeze]
Transversal Problems with Equations (Level 1)
Delta Math
Answer:
x = 15
Step-by-step explanation:
Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.
__
(6x +8)° = (7x -7)° . . . . the angles have the same measure
15 = x . . . . . . . . . . . . divide by °, add 7-6x
On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
In ΔPQR, ∠P and ∠Q are complementary angles.
.
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
hope this helps if not please let me now
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.
Answer:
True
Step-by-step explanation:
Definitely true. If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle. Otherwise it is not a right triangle.
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
paid $3 for each round. What was the greatest number of rounds Tina
could have played?
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
Learn more about Expression:
https://brainly.com/question/13947055
Complete the following statement.
The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.
Answer:
$33
Step-by-step explanation:
$3 = 2 Dinars
$x = 22 Dinars
3/2 = x/22
multiply 3 by 22 and divide by 2
multiply 2 by x and divide 2
which will give answer to $33.
Don't know if it makes sense
3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
Which table contains input-output values of the function y = 2x - 7?
Answer:
The input-ouput is B.
Step-by-step explanation:
By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get
[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]
Please answer number 11 thank you
What is the equation of this line in slope-intercept form
Slope=
m=5+3/-1-1m=8/-2m=-4Equation in point slope form
y+3=-4(x-1)y+3=-4x+4y=-4x+1Answer:
[tex]y=-4x+1[/tex]
Step-by-step explanation:
We have been given two points on the line, so:
[tex]\textsf{let}\:(x_1,y_1)=(-1,5)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(1,-3)[/tex]
Calculate the slope using the slope formula:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-5}{1-(-1)}=-4[/tex]
From inspection of the graph, it appears that the y-intercept (where the line crosses the y-axis) is at (0, 1). However, just to be sure, use the point-slope form of linear equation.
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies y-5=-4(x-(-1))[/tex]
[tex]\implies y-5=-4x-4[/tex]
[tex]\implies y=-4x+1[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=-4+1[/tex]
The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.
Answer:
The length does not change
Step-by-step explanation:
Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule
x,-y
-4, -8
4, 1
Fish weighs 135 pds the scale has error of up to 5%. What is the answer
Pls hurry and help me pls.