we can rewrite:
(-1.5)²*(3.2)⁵ = 3.76⁵
The new base of the expression is 3.76
What is the new base of the expression?Here we have the expression:
(-1.5)²*(3.2)⁵
And we want to write this as a single expression with a power of 5.
First we can rewrite:
(-1.5)² = x⁵
x = (-1.5)^(2/5)
Then the new base of the expression will be:
x*3.2
(-1.5)^(2/5)*3.2 = 3.76
Then we can rewrite:
(-1.5)²*(3.2)⁵ = 3.76⁵
The new base of the expression is 3.76
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Parallel lines have the same....
A) Equation
B) y - intercept
C) X - intercept
D) slope
Davis completes five books in 2 days. How many books should he be able to complete in eight days?
Every Sunday, Chase and his friends get together to play their favorite board game, The Gems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building mines.
There is a proportional relationship between the number of mines Chase builds, x, and the number of gems he earns, y.
x (mines) y (gems)
1 4
4 16
8 32
9 36
What is the constant of proportionality? Write your answer as a whole number or decimal.
The constant of proportionality is 4, while the equation is given as y = 4x.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let x represent number of mines and y represent the number of gems. Since this is a proportional relationship, hence:
y = kx; where k is the constant of proportionality
From the table when y = 4, x = 1, hence:
4 = k(1)
k = 4
y = 4x
The constant of proportionality is 4, while the equation is given as y = 4x.
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Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased.
What equation models this function?
Enter your answer in the box.
f(x)=
Answer:
there you go took me a second but I got it
19/258 = 21/?
help pls
Answer:
285.15Step-by-step explanation:
Given the expression;
19/258 = 21/x
We are to find the unknown value x;
Cross multiply;
19 * x = 258 * 21
19x = 5418
Divide both sides by 19;
19x/19 = 5418/19
x = 285.15
Hence the unknown value is 285.15
Can anybody help on this (20 pts)
The value of sallys caravan decreased by x% in the third year. At the end of the third year the value of sallys caravan was £16,500. Work out the value of x
The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y
How to work out the value of x?The given parameters are
New value = £16,500
Rate of decrease = x%
Let the initial value of the Sally's caravan be represented by y
So, we have the following equation
Initial value * (1 - Rate of decrease) = New Value
This gives
y * (1 - x%) = 16,500
Divide both sides of the equation by y
So, we have
1 - x% = 16500/y
This gives
x% = 1 - 16500/y
Multiply through by 100
x = 100 - 1650000/y
Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y
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Kathy bought a pair of jeans on sale for 30% off of the regular price. If the jeans regularly cost $75.00, how much did she pay?
Answer:
$22.50
Step-by-step explanation:
Montraie drove 220 miles in 5 hours. If he continued at the same rate, how long would it take to travel 88 miles?
Answer:
2 hours
Step-by-step explanation:
220/5=44 miles an hour
88/44=2
2 hours
The solution is 2 hours
Total time it will take Montraie to travel a distance of 88 miles is 2 hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total time for Montraie to drive 88 miles be = A
The distance traveled by Montraie be D
The value of D = 220 miles
The time taken by Montraie to travel 220 miles is T = 5 hours
Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie
Substituting the values in the equation , we get
The speed of Montraie S = 220 / 5
The speed of Montraie S = 44 miles per hour
Now , the distance traveled by Montraie = 88 miles
So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S
Substituting the values in the equation , we get
The time taken by Montraie to travel 88 miles = 88 / 44
The time taken by Montraie to travel 88 miles A = 2 hours
Therefore , the value of A is 2 hours
Hence , The total time it will take Montraie to travel 88 miles is 2 hours
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PLEASE HELP MSRKING PEOPLE AS BRAINLIDT
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps!
find the slope from the table x -2, -1, 0, 1, 2 y -3, -1, 1, 3, 5
Answer:
slope = 2
Step-by-step explanation:
work is in the picture if you need it... please mark brainiest
Simplify the expression: 4(2x - 5)
Answer:
8x - 20
Step-by-step explanation:
P.S Can I have brainliest?
Step-by-step explanation:
=4(2x-5)
=8x-20
hope it helps.
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answer:
f(x)g(x) = 2x² - 6x
General Formulas and Concepts:
Algebra I
Expand by FOIL-ing (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
f(x) = 2x
g(x) = x - 3
Step 2: Find f(x)g(x)
Substitute: f(x)g(x) = 2x(x - 3)Distribute 2x: f(x)g(x) = 2x² - 6xI’m confused, is 1/52 and 52/1 the same?
Answer: No
Step-by-step explanation:
Because 52/1 is just plain 52
But 1/52 is one thing out of 52 of them.
So 52/1 is just the number 52 versus 1/52 is one of fifty-two.
Answer:
Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.
Step-by-step explanation:
Hope this helped and please tell me if I'm incorrect :)
6x + 5y = 3 solve for y
Answer:
-6/5x + 3/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.y
y= − 3+ 6 x
5 5
A salesman sells 2812 storybooks in November.
He sells 1845 more storybooks in December than in November.
How many more storybooks must he sell in order to reach a total
sale of 8500 storybooks in the 2 months?
Answer:
2812+1845
=4657
step 2
=8500-4657
=3843
he must sell 3843 books in the next 2 months
I need help PLEASE
Use the equation to predict how many glasses with 9
pieces of bling Bella can expect to sell. Do not round.
Input your answer. Then click done.
Answer:
Bella can sell 13.78 glasses with 9 pieces of bling.
Step-by-step explanation:
Given the function
y=1.36x+1.54
As pieces of the bling are represented on the x-axis, and the number of glasses is represented on the y-axis.Given that the number of pieces of bling = x = 9
Thus,
[tex]y = 1.36x+1.54[/tex]
[tex]= 1.36(9)+1.54[/tex]
[tex]=12.24+1.54[/tex]
[tex]=13.78[/tex]
Thus, Bella can sell 13.78 glasses with 9 pieces of bling.
What is the solution to the system of equations graphed below?
Answer:
Option C
Step-by-step explanation:
According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).
This means that the point would be the solution to the system of equations.
Hope this helps.
PLZ HELP ME WITH THIS I BEG OF YOU PLZ?!?!
Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]
Answer:
[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]
hope it helps:)
Find the value of a?
A) 3
B) 4
C) 6
D) 9
Answer:
3
Step-by-step explanation:
50 points i really need help
Answer:
first one i just don't find that sign of math in my computer but yeah
Step-by-step explanation:
HAPPY HOLIDAYS :)
On which interval(s) is the function f(x) = x3+3x^2−4x−12 increasing?
The intervals over which the function is increasing are -
x ∈ (- ∞, - 2.5) and x ∈ (0.5, ∞). We can write it as one single set (S) as -
S = (- ∞, - 2.5) ∪ (0.5, ∞).
What is increasing or decreasing interval of a function?The interval in which the y - coordinate of the points gets larger, or the graph gets higher as it moves from left to right over the interval is called increasing interval. Similarly, the interval in which the y - coordinate of the points gets smaller or the graph gets lower as it moves from left to right over the interval is called decreasing interval.
Given is the following function f(x) -
f(x) = x³ + 3x² - 4x - 12
First, we will plot the graph of this function. The graph is attached with the answer. On the graph, there are two black dots. From the definition of increasing functions, we know that the interval along which the y - coordinate gets larger is called increasing interval of the function. The first interval over which the function is increasing is- x ∈ (- ∞, - 2.5). The second interval over which the function is increasing is- x ∈ (0.5, ∞).
Therefore, the intervals over which the function is increasing are -
x ∈ (- ∞, - 2.5) and x ∈ (0.5, ∞). We can write it as one single set (S) as -
S = (- ∞, - 2.5) ∪ (0.5, ∞).
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Write an expression equal to 9^4
Answer:
9 x 9 x 9 x 9
Step-by-step explanation:
9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9
some two step equations can be written in the form ax+b=c where a b and c are constants and x is the varible A. write the equation ax+b=c in terms of x B use the formula to solve 3x+7=19 and 1/2x - =5
A. The equation for x is c - b/a
B. x = 4
x = 10
How to determine the equationGiven the equation;
ax + b = c
Let's make 'x' the subject of formula by expressing it in terms of other variables
We have;
ax = c - b
Divide both sides by the coefficient of 'x'
ax/a = c - b/ a
x = c - b/a
B. 3x + 7 = 19
Let's solve for x
3x = 19 - 7
3x = 12
Make 'x' the subject
x = 12/ 3
x = 4
1/2x = 5
cross multiply
x = 5 × 2
x = 10
Thus, the equation for x is c - b/a
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An airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by...
(a) What is the cost per passenger for quiescent (no wind) conditions?
The cost per passenger for quiescent (no wind) conditions is $252.33.
How to illustrate the information?It should be noted that based on the information given, the cost function that was illustrated in the question is:
C(x) = 175 + x/25 + 32000/x
In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.
Therefore, the cost per passenger for quiescent conditions will be:
C(x) = 175 + x/25 + 32000/x
where x = 600
C(x) = 175 + x/25 + 32000/x
C(x) = 175 + 600/25 + 32000/600
C(x) = 175 + 24 + 53.33
C = $252.33
Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33
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Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.9% interest,
compounded monthly, to meet their goal in 24 years?
$1,051.17
$2,102.34
$950.41
$4,446.41
Answer:
it would 4,446.41
Step-by-step explanation:
Math Focus
4. Calculate What is the
kinetic energy of a 0.50 kg
hammer that hits the floor at
a speed of 10 m/s?
The kinetic energy of hammer is 25 m/s.
How to find the kinetic energy?The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
given that
the mass of the hammer is 0.50 kg.
The velocity of the hammer is 10 m/s.
now find the kinetic energy of the hammer.
[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]
[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]
kinetic energy = 0.25 X 100
kinetic energy = 25 m/s.
Hence, the kinetic energy of hammer is 25 m/s.
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Ok ok ok ok ok ok ok ok ok ok ok
Answer:
ok
Step-by-step explanation:
Answer: huh
Step-by-step explanation: