Answer:
x = 1/2
Step by step explanation:
Two numbers a and b are each greater than zero.
i.e a > 0 and b > 0
And;
[tex] \sqrt{a} \: = \: \sqrt[3]{b} [/tex]
Since the square root of a is equal to cube root of b then,
a = b = 1
[tex] {a}^{2x \: - \: 1} \: = \: b[/tex]
[tex] {1}^{2x \: - \: 1} = {1}^{0} [/tex]
2x - 1 = 0
x = 1/2
Two numbers are 'a' and 'b'.
And a > 0, b > 0
[tex]\sqrt{a}=\sqrt[3]{b}[/tex]
[tex]a^{\frac{1}{2} }=b^{\frac{1}{3}}[/tex]
[tex]a=(b)^{\frac{2}{3} }[/tex]
We have to find the value of [tex]x[/tex] if [tex]a^{2x-1}=b[/tex],
By substituting the value of [tex]a[/tex] in the given expression,
[tex](b^{\frac{2}{3}})^{2x-1}=b[/tex]
Now use the laws of exponents,
[tex]b^{\frac{2}{3}(2x-1)}=b[/tex] [Since, [tex](a^m)^n= a^{mn}[/tex]]
By comparing the exponents on both the sides,
[tex]\frac{2}{3}(2x-1)=1[/tex]
[tex]2(2x-1)=3[/tex]
[tex]4x-2=3[/tex]
[tex]4x=5[/tex]
[tex]x=\frac{5}{4}[/tex]
[tex]x=1.25[/tex]
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5
The day's high temperature in Phoenix, Arizona was recorded as 104°F. Use the formula C= 5F- -32) to write 104°F as degrees Celsius.
The day's high temperature written as degrees Celsius is lºc.
(Answer quickly)
Answer:
40°C
Step-by-step explanation:
Plug in 104° for F. This makes the equation [tex]\frac{5}{9}(104-32)=C[/tex].
Now, simplify.
[tex]104-32=72\\\frac{5}{9} (72)=40\\C=40[/tex]
Hope this helps!
plz help been stuck for awhile
A golfer observed that 2 out of every 3 balls she hit landed near the hole. If she hits 72 shots, approximately how many times will her ball land near the hole?
9514 1404 393
Answer:
48
Step-by-step explanation:
About 2/3 of her 72 shots will land near the hole.
2/3 × 72 = 48
Her ball will land near the hole approximately 48 times.
I’ll make you as brainliest do these to problems show ya work !
Answer:
1. 7
2. 13
Step-by-step explanation:
1. x = 2 and y = 3
y^2 - x
= 3^2 - 2
= 9 - 2
= 7
2. x = 5 and z = 4
z + x + z
= 4 + 5 + 4
= 9 + 4
= 13
Answer:
7 for the first question and 13 for the second one
The annual profits for a company are given in the following table, where x represents
the number of years since 1997, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest tenth. Using this equation, find the projected profit (in
thousands of dollars) for 2008, rounded to the nearest thousand dollars.
Profits (y)
Years since 1997 (1) Gin thotsands of dollars)
0
66
1
108
2.
89
3
157
4
178
5
199
Help me with this please :'-)
hiii how are you feeling today
Stephanie is painting her room wich is 14' long by 9' wide and each wall is 10' tall. How many square feet of paint will she use? help.
Answer:
460 sq ft
Step-by-step explanation:
Assuming the room is a perfect rectangle and not accounting for doors and windows:
14 ft x 10 ft = 140 sq ft X 2 = 280 sq ft
9 ft x 10 ft = 90 sq ft x 2 = 180 sq ft
280 sq ft + 180 sq ft = 460 sq ft
Nick and Monica are paid $41.25 for their work. Nick worked 2.5 hours, and Monica worked 3 hours. They split the money according to the amount of time each of them worked.
Nick and Monica are paid $(Blank) for each hour worked. Nick's share of the money is $(Blank)
Answer:
BRIANLIEST PLZ
N = 18.75
M = 22.5
Step-by-step explanation:
Need the ratio of money paid to each. We know how the ratio of time is divided so we can use this ratio to find the amount paid.
T = t1 + t2 = 2.5 + 3 = 5.5
r1 =2.5/5.5
r2 = 3/5.5
Nick = r1 * 41.25 = 18.75
Monica = r2 * 41.25 = 22.5
Which of the following best describes the algebraic expression 5(x + 2) - 3 ?
A. Five times a number plus two minus three.
B. Three less than five times a number plus two.
C. Three less than five times the quantity of a number plus two.
D. Five times the quantity of a number plus two less than three.
Answer:
A
Step-by-step explanation:
brackets first according to bodmas
Answer:
C
Step-by-step explanation:
It is not A, that implies that there is no parenthesis needed. Same goes for D.
It is not B, (5x +2)-3
"Three less than" implies that 3 will be subtracted in the end of the equation.
B and C may get mixed up: C includes the phrase "the quantity" which implies the number (x) and two are added before being multiplied by 5.
find the mean of 31.6, 34.5, 29.8, 12,1
Answer:
27
Step-by-step explanation:
To figure out the mean of a group of numbers, one must add the numbers together and divide by the number of terms.
31.6 + 34.5 + 29.8 + 12.1 = 108
There are four terms in the group of numbers.
108 / 4 = 27
Therefore, the mean is 27.
the area of a rectangle hall is the same as the area of a square field of side 56 m. if the lenght of hall is 112m. find its breadth
Step-by-step explanation:
please subscribe to my mom channel please
What is the range of (0,1),(1,-1),(2,-1)
Answer:
(1,-1)
Step-by-step explanation:
Carmen owns 8 shares of stock. The total value of her shares went down by $32. What was the change in value?
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Answer:
-$32
Step-by-step explanation:
The value went down by $32.
Expressed as a signed integer, the value in dollars changed by -32.
A number to be a rational number that is not an integer but a while number
Answer:
So coming back to the question; No, there is no rational number that is not an integer but is a whole number. The number is called as a rational number if it can be expressed as p/q where p & q are integers & q is not 0. All negative integers are rational numbers but those are not whole numbers.Jan 1, 2020
Step-by-step explanation:
Which numbers are factors of 42? Check all that apply.
0 1
2.
O 3
4
06
8
Answer:
1, 2, 3, 6 are all factors of 42
which expressions have a sum of -12 right answer only!!
a. -13+(-1 )
b. 2+ (-14 )
c. -5+17
d. -4+(- 8
Answer:
B and D
Step-by-step explanation:
2+-14 = -12
-4+(- 8) = -12
because its a negative number it wont go up it will go down
Answer:
[tex]a) - 13 + - 1 = = - 13 - 1 = - 14 \\ b)2 + - 1 4 = 2 - 14 = - 12 \\ c) - 5 + 17 = 12 \\ d) - 4 + - 8 = - 12 \\ b \: and \: d \: represent \: - 12as \: answer \\ thankyou[/tex]
23 to the power of seven in expanded form?
Answer:
3404825447
Step-by-step explanation:
3000000000
+400000000
+0
+4000000
+800000
+20000
+5000
+400
+40
+7
Two quantities x and y are connected by the formula y=7-9x.
a. Find the value of y when x=0.
b. Find the value of x when y=0.
We just have to substitute the values and get the answer.
If I have 500 and have a 6% annual interest how long will it take to get 2000
Answer:
23.8 years
Step-by-step explanation:
Assuming this is compound interest, we'll use the compound interest formula
A = P(1 + r)ⁿ
A = Final amount (2000)
P = Initial amount (500)
r = Annual interest rate (.06)
n = ?
Our equation will look like this
2000 = 500(1.06)ⁿ
First, divide both sides by 500
2000/500 = (500(1.06)ⁿ)/500
(1.06)ⁿ = 4
Then we have to take the log₁.₀₆ out of both sides
n = log₁.₀₆(4)
n = 23.79132
find the slope between (1,16) and (9,9)
Answer:
[tex]slope = \frac{y2 - y1}{x2- x1} \\ = \frac{9 - 16}{9 - 1} \\ = \frac{ - 7}{8} \\ slope = \frac{ - 7}{8} \\ thank \: you[/tex]
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]
Solve for b
-3(6b + 4) = 2(-5b+10)
b=
Answer:
b = -4
Step-by-step explanation:
-3(6b + 4) = 2(-5b + 10)
-18b - 12 = -10b + 20
(-18b + 10b) - 12 = (-10b + 10b) + 20
-8b - 12 = 20
-8b (- 12 + 12) = 20 + 12
-8b = 32
-8b/-8 = 32/-8
b = -4
Answer:
x
Step-by-step explanation:
Find the value of x if PQ = QR.
Answer:
11
Step-by-step explanation:
if pq = qr, x+1 = 11+1=12
thus x = 1
Multiply.
-0.5•(-0.4)
...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. -0.5•(-0.4)
B. The expression is undefined
(Someone please answer)
Answer:
-0.2 I think .......................
What is the correct expansion for (x+8)^2
Answer:
Answer: x² + 16x + 64
Step-by-step explanation:
[tex] {(x + 8)}^{2} [/tex]
double the brackets, to remove the power:
[tex] = (x + 8)(x + 8)[/tex]
open the brackets:
Generally:
[tex]{ \boxed{(a + b)(a + b) = {a}^{2} + 2ab + {b}^{2} }}[/tex]
from our equation given;
a » x
b » 8
substitute in the equation in the box:
[tex](x + 8)(x + 8) = {x}^{2} + \{ 2(x)(8) \} + {(8 )}^{2} \\ \\ = {x}^{2} + 16x + 64[/tex]
Answer:
x² + 16x + 64
Step-by-step explanation:
that is the answer I think
70 POINTS!!! SOLVE TO EARN!!!
Answer:
37, 60, 30Step-by-step explanation:
Ann - a, Josh - j, Claire - c
a = j + 7j = 2ca + j + c = 157Substitute a and j into last equation and solve for c:
(j + 7) + 2c + c = 1572c + 7 + 3c = 1575c = 150c = 30Find a and j:
a = 30 + 7 = 37j = *30 = 60A and B are complementary and B and C are supplementary.
9. If mA 48", then mB= ? and mC = ?.
10. If mB 83, then mA = ? and mC = 2.
11. If mC 127, then m28= ? and mA = ?.
12. If mA = 25. than mB= ? and mC = ?.
9. if mA = 48° , then
mB = 90° - 48° = 42°mC = 180° - 42° = 138°10. if mB = 83°, then
mA = 90° - 83° = 7°mC = 180° - 83° = 97°11. if mC = 127°, then
mB = 180° - 127° = 53°mA = 90° - 53° = 37°12. if mA = 25°, then
mB = 90° - 25° = 65°mC = 180° - 65° = 115°Confuse with this problem
Answer:
[tex]6 \frac{2}{3} [/tex] (second option)
Step-by-step explanation:
attached
Find the discriminate, number of roots and solve the quadratic equation using the quadratic formula -my answers are pribably wrong
Answers:
discriminant = dnumber of roots = esolutions = g=================================================
Explanation:
Let's compute the discriminant. Here we have a = 1, b = 1, c = -2
d = b^2 - 4ac
d = 1^2 - 4(1)(-2)
d = 9
The fact that d > 0 tells us we have two different real number solutions.
------------------------
We can use the quadratic formula to solve, or we can factor. I'll use the factor method.
x^2 + x - 2 = 0
(x - 1)(x + 2) = 0
x-1 = 0 or x+2 = 0
x = 1 or x = -2
The two solutions are -2 and 1
Find the linear function for f(1) = 3 and f(4) = 0
Answer:
Step-by-step explanation:
