Answer:
=1
Step-by-step explanation:
simplify 4^(3)*4^(5)
A. 16^8
B. 4^8
C. 4^15
D. 16 * 15
Answer:
B. 4^8
Step-by-step explanation:
The indices of the base 4 can be added while multiplying i.e. 3+5=8 but the base remains the same.
Answer:
B
Step-by-step explanation:
Because in powers we just add so it will be 4^3+5
=4^8
3^x+3^x =54 what's the value of x ?
Answer:
x = 3
Step-by-step explanation:
if you need an explanation let me know
Answer:
x = 3
Step-by-step explanation:
Given:
[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]
To Find:
Value of xSolution:
We could re-write 3^x+3^x as:
[We factored here][tex] \implies \: 2(3 {}^{x} ) = 54[/tex]
Divide both sides by 2
[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]
[tex] \implies \: 3 {}^{x} = 27[/tex]
Take logarithm on both sides
[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]
[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]
[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]
[tex] \implies \boxed{x = 3}[/tex]
Hence, x = 3 .
The center circle on a playing field has a radius of 7.5m find its circumference
The circumference of the circular playing field.
Solution:[tex]\huge\boxed{Formula:C= 2\pi{r}}[/tex]
We'll have to multiply 2, π and radius.
Substitute the values according to the formula.
[tex]C= 2× \pi ×7.5[/tex]
[tex]C= 47.12389 [/tex]
[tex]\large\boxed{C= 47.12 \: m}[/tex]
Therefore, the circumference of the circular playing field is 47.12 feets.
given m
m FS =
pls help me this is due tomorrow
Answer:
arc FS = 84°
Step-by-step explanation:
the inscribed angle QRF is half the measure of its intercepted arc QF , then
arc QF = 2 × 48° = 96°
the sum of the arcs on a semicircle = 180° , that is
QF + FS = 180°
96° + FS = 180° ( subtract 96° from both sides )
FS = 84°
help me, please i need your help
The answer to each question in the image is given below:
y - 0.32y = 0.68yy + 0.32y = 1.32yy + [tex]\frac{2}{5}[/tex]y = [tex]\frac{7}{5}y[/tex]y - [tex]\frac{2}{5}y[/tex] = [tex]\frac{3}{5}y[/tex] Meaning of equivalent equations.An equivalent equation can be defined as an equation that has the same meaning and also has the same answer with another equation or with an equation it is said to be equivalent with.
The above equation are equivalent to each other meaning they can be used to derive each other.
In conclusion, the list above is the right pairs of equivalent equations.
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What is the force, in N, when a pressure of 22 N/m² is exerted on an area of 750 cm²?
Answer:
1.65 N
Step-by-step explanation:
Step 1: convert cm^2 to m^2
1 cm^2 = 0.0001 m^2
750 cm^2 = 0.075 m^2
Step 2: multiply pressure by area
F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N
y=x^2+5x-8 to factored form
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation:
Which organisms reproduce through a...se...xu...al reproduction? (Select all that apply.)
starfish
yeast
fungi
bacteria
PICK MORE THAN ONE and no links please 1+1
Answer:
bacteria and fungi
Step-by-step explanation:
Single organism makes an exact copy of itself
Bacteria, some plants and fungi, few animals (sponges)
Offspring are identical to parent
What’s the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2)
Answer:
times and divide
they are both diffrent equations
If investments double every 9 years and you start with a $600 investment, how much money would you have after 27 years? First, complete the equation: Future Amount = 600 (1 + [?]) ↑ ↑ initial amount growth rate Hint: Doubling means a 100% growth rate. time periods Enter
Answer:
600(1+1)^3 with future amount being 4800
Step-by-step explanation:
The amount of the money after 27 years will be $4800.
What is the amount?The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-
Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?
We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3
Future amount = 600(1+1)³
Future amount = 600 ( 2 )³
Future amount = 600 ( 8 ) = $4800
Therefore the amount of the money after 27 years will be $4800.
To know more about the amount follow
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A material has a density of 4.5 g/ml and a mass of 2.6 grams, what is the volume?
Answer:
The volume is 11.7
Step-by-step explanation:
[tex]\frac{m}{v}[/tex] = d
[tex]\frac{2.6}{v}[/tex] = 4.5
4.5 × 2.6 = 11.7
v = 11.7
what is the value of the digit 5in the number 734.95?
Answer:
0.05
explanation
value means total value
so it's 5*0.01
=0.05
A basket contains six apples, three oranges, ten corn, four pears and six peaches, You randomly select a fruit. What is the conditional probability of selecting a fruit that it is a orange?
Select one:
a.
15.8%
b.
15%
c.
17.5%
d.
10.3%
Answer:
b. 15%
Step-by-step explanation:
because it is 3 oranges and 3 is equal to 15%
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
The surface area of the cone is 40π
What is a cone?A cone is a solid shape with a circular base and a tapered side.
Analysis:
surface area of a cone = πrl + π[tex]r^{2}[/tex] = π( 6x4) + π(4 x 4) = 40π
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help pls im being timed i cant do mathhh
A restaurant bill is £132
A 10% service charge is included in the bill.
How much is the service charge?
Answer:
1.1x= 132
Step-by-step explanation:
Andre took 6 kicks and made 4 goals: 4/6
Tom wants to take more than 20 kicks and make an equivalent fraction to Andre.
what are two possible fractions of goals Tom can make
HELP ME PLEASE I WILL MARK BRAINLIEST
Answer:
A) -4, -2
Step-by-step explanation:
The translation vector is the distance
point A: (3, 1)
point A': (-7, -3)
3 + (-7) = -4
1 + (-3) = -2
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Answer:
Step-by-step explanation:
Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?
Answer:
B.
Step-by-step explanation:
First convert the equation to slope-intercept form:
2x - 5y = 7
-5y = -2x + 7
y = 2/5 x - 7/5
So the slope of the given line is 2/5.
So the slope of a perpendicular line will be -1/ 2/5 = -5/2.
Take B:
5x + 2y = 3
2y = -5x + 3
y = -5/2.
So its B.
Combine the like terms to create an equivalent expression:−3z−z
Answer:
-4z
Step-by-step explanation:
Hi student! Let me help you out.
_____________________
Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us [tex]\mathrm{-4z}[/tex].
[tex]\mathrm{-3z-z=-4z}[/tex]. -4z is our final answer.
Hope that this helped you! have a good day ahead.
Best Wishes!
[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star[/tex]
◈◈-Greetings!-◆◆
___________________
Answer:
-4z
Step-by-step explanation:
-3z-z
On combining like terms,
= -4z
Here,the terms are -3z and -z, where - and - combines and + is the result,so we need to add the expression.Determine the period, amplitude, and phase shift of[tex]f(x)=3cos2\left \{ x-\frac{\pi }{4}]+1[/tex]
b) List the five critical points for the first cycle. (3 marks)
Use this information to sketch the graph off(x) for two
complete cycles. Determine [tex]\frac{1}{4}[/tex] wave and starting point.
Clearly label the scale on both axes. (3 marks)
->period = [tex]\frac{2\pi }{2} =\pi[/tex]
->a=3, shift [tex]\frac{\pi }{4}[/tex]
->right 1 unit up
Rest are shown in graph
can i have help with this
Answer:
x^32
Step-by-step explanation:
A fraction bar is a division symbol. When you are dividing, you can subtract the exponents.
x^56 / x^24
= x ^ (56-24)
= x^32
Answer:
x^32
Step-by-step explanation:
a^m/a^n = a^(m-n)
so, x^56/x^24 = x^(56-24) = x^32
Lindsay sketches a right triangle with lengths f, g, and h as shown. She uses the Pythagorean Theorem to write the equation f2 + g2 = h2 to represent the triangle. How can Lindsay correct her error? Explain your reasoning.
Answer:
hope you can understand
If a rectangle’s perimeter is 86 units and the width is 15 units, what is the length in units?
Answer:
I think the answer would be 28
To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?
Answer:
how many hours a week the employees are working?
Step-by-step explanation:
I could be wrong but that's my fault if it's wrong sorry
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
A father is 30 years older than his son.Three years ago he was 3 times as old as his son.How old are both of them
Answer:


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Question

A father is 30years older than his son. In 12years, the man will be three times as old as his son. Find their present ages.
Medium
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Solution

Verified by Toppr
Let the present age of the son be x years
Then father's age will be (x+30) years
Given after 12 years father will be three times as old as his son
Therefore,
(x+12)3=x+30+12
3x+36=x+42
3x−x=42−36
2x=6
x=3
x+30=3+30=33
So, the present age of son is 3 years and present age of the father is 33 years
some one please help me slove this I can't figure it out I will give Brainliest answer to who ever answer frist...
keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.
Dan has a list of the scores of all his
math tests and quizzes during the
year. What are the mode and median
of the data set?
88, 79, 71, 75, 53, 88
a. mode = 88, median = 88
b. mode = 88, median = 77
C. mode = 77, median = 77
d. mode = 77, median = 88
Answer:
b. mode = 88, median = 77
Step-by-step explanation:
First, arrange all the numbers least to greatest.
53, 71, 75, 79, 88, 88
The mode is the number that occurs the most.
mode = 88
The median is the middle number. Since there is an even number of numbers, look at the two middle numbers 75 and 79. Add them together and divide by two (finding the average or mean of the numbers).
75 + 79 = 154
154/2 = 77
median = 77