Answer:
a.) 5¹⁰
b.) 6¹⁷
Step-by-step explanation:
a.) 5⁸ × 25
Write 25 in the exponential form with the base of 5.
5⁸ × 5²To calculate product use exponent rule
5⁸+²5¹⁰b.) 6¹⁵ × 36
Similarly, 6¹⁵ × 36
Write 25 in the exponential form with the base of 6.
6¹⁵ × 6²To calculate product use exponent rule.
6¹⁵ + ²6¹⁷Answer:
[tex] \displaystyle {5}^{10} [/tex]
[tex] \displaystyle {6}^{17} [/tex]
Step-by-step explanation:
Question-1:we want to rewrite the following expression as an exponent
[tex] \displaystyle {5}^{8} \times {25}[/tex]
remember that 25 is the square of 5 therefore
[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]
recall that,
[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
with that law we obtain:
[tex] \displaystyle {5}^{8 + 2} [/tex]
simplify addition:
[tex] \displaystyle {5}^{10} [/tex]
Question-2:likewise Question-1 36 is the square of 6 Thus,
[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]
similarly apply law of exponent:
[tex] \displaystyle {6}^{15 + 2} [/tex]
simplify addition:
[tex] \displaystyle {6}^{17} [/tex]
hence,
we have written the expression as an exponent
find the circumference of a circular swimming pool with a diameter of 18 feet use 3.4 as an approximation round your answer to the nearest foot
Answer:
57 feet
Step-by-step explanation:
A circular swimming pool has the shape of a circle
Therefore, find the circumference of a circle
Circumference of a circle = 2πr
Where,
Radius, r = diameter / 2
= 18 feet / 2
= 9 feet
π = 3.14
Circumference of a circle = 2πr
= 2 × 3.14 × 9 feet
= 56.52 feet
Approximately,
57 feet
What is the slope of the line? What is the y-intercept of the line? y = 2x + 5
Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.
Judging the given equation y = 2x + 5
Slope (m) of the line is 2,
y-intercept of the line,
y = 2x + 5
y = 2×0 + 5
y = 5
Answered by GAUTHMATH
Answer:
m = 2
y intercept = 5
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 2x +5[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 2 [/tex]
[tex]\implies y - intercept= 5[/tex]
which of the following functions is graphed below?
Answer:
d number on is the wright answer
hope it may help you
i'm kinda confused in this question, please help me.
Answer:
there you go
Step-by-step explanation:
angle DOB is 60 degree.
Answer:
see explanation
Step-by-step explanation:
Given ∠ DOC = 90° then
∠ DOB = 90 - p and
Since AOB is a straight angle , then
4p + 90 - p = 180
3p + 90 = 180 ( subtract 90 from both sides )
3p = 90 ( divide both sides by 3 )
p = 30
4p = 4 × 30 = 120
Then
∠ DOB = 180° - 4p = 180° - 120° = 60°
On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Monday?
hamburgers
х
?
Answer:
h = hamburgers sold
2h - 72 = 578
2h = 650
2 2
h = 325
There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72
325 - 72 = 253
253 = cheeseburgers
325 = hamburgers
253 + 325 = 578
Hamburgers = 325
Hope this helps :)
3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?
Answer:
33 and 6 yearsStep-by-step explanation:
Mother's age = mSon's age = s3 years later:
m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 93 years ago:
m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21Solve for s by substitution:
4s + 9 = 2s + 212s = 12s = 6Find the value of m:
m = 4*6 + 9 = 33Mother is 33 and son is 6
The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.
Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
In a group of 26 pupils, 3 play the flute only.
5 play the piano only.
7 play neither instrument.
How many pupils play both instruments?
Here is a Venn diagram:
a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)
Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36
Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40
Answer:
a = 6
b = 8
c = -7
Step-by-step explanation:
In standard form, we have ;
y = ax^2 + bx + c
Here, we have;
6x^2 + 8x - 7
a is the coefficient of x^2 which is 6 in this case
b is the coefficient of x which is 8
c is the last number which is -7
So we have;
a = 6
b = 8
c = -7
Solve the system of equations.
5x – 4y = -10
y = 2 x – 5
x =
y =
Answer:
6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2
Step-by-step explanation:
I just know.
Answer:
Step-by-step explanation:
5x – 4y = -10
y = 2 x – 5
Rearrage the equation:
5x – 4y = -10 (1)
-2 x +y = 5. (2)
pluging variable y equation2 in 1
5x - 4•(2x-5) = -10
-3x = -30
Solve equation [1] for the variable x
3x = 30
x = 10
x = 10
y = 2x-5
Use the x value to solve for y
y = 2(10)-5 = 15
x= 10
y= 15
What is the answer to this question
Answer:
26 m is the answer to the question
What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1
Answer:
option C : 1/2
Step-by-step explanation:
[tex]\frac{1}{3} \div \frac{2}{3} \\\\\frac{\frac{1}{3}}{\frac{2}{3}}\\\\\frac{1}{3} \times \frac{3}{2} \\\\\frac{1}{2}[/tex]
I need help with this, Im never good with these
Answer:
(a) basketball
(b) hat
(c) stuffed animal
explanation:
I'm not sure if got right but from what i see;
Chances from 1-23 you get a stuffed boi
Chances from 24-54 you get a hat (why)
Chances from 55-100 you get a basketball
Winner 5 got 90, which is between 55-100
Winner 6 got 35, which is between 24-54
winner 8 got a 7, which is between 1-23
Hope I didn't read it wrong
Find the constant of proportionality if y is
proportional to x.
A. 25
B. 21
C. 26
D. 28
HELPPP!!!!!!
please help so I can watch Coop and Cami ask the world
Step-by-step explanation:
Simple interest=principal x rate x time÷100
amount borrowed=$500
I=$500x7x6÷100
I=$210
therefore you will pay
amount borrowed+interest
$500+$210
$710
hope this is helpful
what is the value of x? (3x-14)°=180° [4(x-9)]°=180°
Answer:
3x-14=180
3x=194
x= 64 2/3
4(x-9)=180
4x-36=180
4x=216
x=54
Hope This Helps!!!
Step-by-step explanation:
(3x-14)°=180°
3x-14=180
3x=180+14
3x=194
x=64.6
[4(x-9)]°=180°
4x-36=180
4x=180+36
4x=216
x=54
Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit multiple of 4 that can be formed
Answer:
987436Step-by-step explanation:
The number is divisible by 4 if the number formed by the last two digits is divisible by 4.
Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.
The smallest 2-digit number that is divisible by 4 is 36
Then the largest number is:
987436Consider a binomial experiment. If the number of trials is increased, what happens to the expected value
Answer:
The expected value is an expression of the weighted average and can be taken as the (arithmetic) mean
As the number of trials is increased in a binomial experiment, the expected values obtained, in each of the set of trials continuously tend to the theoretical expected value
Step-by-step explanation:
A corporate team-building event cost $4, plus an additional $3 per attendee. If there are 39 attendees, how much will the corporate team-building cost?
Answer:
$121
Step-by-step explanation:
Find how much additional money it will cost from the attendees:
39(3)
= 117
Add the other $4:
117 + 4
= 121
So, it will cost $121
If f(x) = 2x2 + 1, what is f(x) when x = 3?
Answer:
18
Step-by-step explanation:
f(x)=2x(2+1)
f(3)=2(3)(2+1)
=6(2+1)
=12+6
=18
Find angle m
A. 69
B. 23
C. 46
D. 167
Answer:
a
Step-by-step explanation:
∠DAF - ∠CFA=∠DFC
118-49 =69
Can someone help me solve this problem please
Answer:
In picture
Step-by-step explanation:
Brianliest please~
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
Step-by-step explanation:
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
so it's that
Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP
Answer:
93600
Step-by-step explanation:
24=3*2*2*2
y=0,8
1) x3600, then x=9,6,3
2)x3608, then x=1,4,7
9 is the largest so the final answer is 93600
What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7
Answer:
Answer would be
D: 7
In the equation 17x2 = 12x, the value of c is:
O
0 12
O 17
Answer:
ok ok ok ok ok ok ok
Step-by-step explanation:
maths questions on coordinate geomery
Answer:
:
Example Question #1:
Step-by-step explanation:
Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?
Possible Answers:
4x – y = 0
(1/4)x + y = 0
4x + 8y = 0
4x = 8y
y – 4x = 22
Correct answer:
4x – y = 0
Explanation:
We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22
Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.
In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.
', .
