Simplify to an equivalent exponential expression. Use 2 as the base.
24.25
24 • 25 =
(Type your answer using exponential notation. Simplify your answer.)
HELP ASAP PLEASE
Answers
Answer:
The equivalent exponential expression using 2 as
a base will be:
[tex]2^4\cdot \:\:2^5=2^9[/tex]Step-by-step explanation:
Given the expression
[tex]2^4\cdot \:2^5[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
so the expression becomes
[tex]2^4\cdot \:2^5=2^{4+5}[/tex]
[tex]=2^9[/tex]
Therefore, the equivalent exponential expression using 2 as
a base will be:
[tex]2^4\cdot \:\:2^5=2^9[/tex]Related Questions
What is the slope of y=x+5?
Answers
Answer:
1
Step-by-step explanation:
since the formula is
y=x+5 and x is the slope
1 is the slope
Answer:
the slope is 1 and the y intercept is 5
What is the measure of angle A'B'C?
Answers
All Angles Added: 180
Measures of Idiviudual Angles
A=70 C=70 B=40
-------------------------------------------------------------------------------
Step-by-step explanation:
All angles of a triangle when combined must equal 180 degrees.
Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.
Find the value of:
a) x2 when x = 6
b) y2 when y= -9
c) z2 when z = 0.7
Answers
Step-by-step explanation:
(a)= 6×2= 12
(b)= -9×2=-18
(c)= 0.7×2=1.4
Before beginning voice lessons, Aubrey already knew how to sing 357 pieces, and she expects to learn 2 new pieces during each week of lessons. After 78 weeks of voice lessons, how many pieces will Aubrey be able to sing, in total? Write and solve an equation to find the answer. pieces
Answers
If 3 < 1 - x, what is value for x
Answers
Answer:
x < -2
Step-by-step explanation:
Sandra has $60 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
Answers
Answer:
$3 or 300 cents.
Step-by-step explanation:
She has 60 dollars in the savings account, and the interest rate is 5%, so you do 60*1.05 and get 63.
Can someone help with this question?
What is the solution to the equation 3/5(y-5) = - (y+3) +2
Answers
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given expression:
[tex]\frac{3}{5}[/tex](y - 5) = - (y + 3) + 2
To solve this problem, multiply both sides by 5;
5 x [tex]\frac{3}{5}[/tex](y - 5) = 5[-(y + 3) + 2}
3(y - 5) = 5(-y - 3 + 2)
expand,
3y - 15 = 5(-y -1)
3y -15 = -5y - 5
Collect like terms;
3y + 5y = -5 + 15
8y = 10
y = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
Please a need the answer and the solution please
Answers
Answer:
Step-by-step explanation:
To find the first table y = 4x + 2, to find each y value we have to substitute each x value into the equation.
4(-2) + 2 = -6 so -2 is going to have the y as -6
4(-1) + 2 = -2 so -1 is going to have the y as -2
4(0) + 2 = 2 so 0 is going to have the y as 2
4(1) + 2 = 6 so 1 is going to have the y as 6
4(2) + 2 = 10 so 2 is going to have the y as 10
So these are the points you would graph (-2, -6), (-1, -2), (0, 2), (1,6), and (2, 10)
For the next talbe y = 3x + 1 we do the same thing
3(-2) + 1 = -5 so -2 is going to have the y as -5
3(-1) + 1 = -2 so -1 is going to have the y as -2
3(0) + 1 = 1 so 0 is going to have the y as 1
3(1) + 1 = 4 so 1 is going to have the y as 4
3(2) + 1 = 7 so 2 is going to have the y as 7
The ooints to graph are (-2, -5), (-1, -2),(0,1), (1, 4) and (2,7)
For the next table y = 6x - 5
6(-2) - 5 = -17 so -2 is going to have the y as -17
6(-1) - 5 = -11 so -1 is going to have the y as -11
6(0) - 5 = -5 so 0 is going to have the y as -5
6(1) - 5 = 1 so 1 is going to have the y as 1
6(2) - 5 = 7 so 2 is going to have the y as 7
The points to graph (-2, -17), (-1, -11), (0, -5), (1, 1) and (2, 7)
For the next table y = 5 + 2x
5 + 2(-4) = -3 so -4 is going to have the y as -3
5 + 2(-2) = 1 so -2 is going to have the y as 1
5 + 2(0) = 5 so 0 is going to have the y as 5
5 + 2(3) = 11 so 3 is going to have the y as 11
5 + 2(5) = 15 so 5 is going to have the y as 15
(-4, -3), (-2, 1), (0, 5), (3, 11) and (5, 15)
For the next table y = 8x - 10
8(-4) - 10 = -42 so -4 is going to have the y as -42
8(-2) - 10 = -26 so -2 is going to have the y as -26
8(0) - 10 = -10 so 0 is going to have the y as -10
8(2) - 10 = 6 so 2 is going to have the y as 6
8(4) - 10 = 22 so 4 is going to have the y as 22
(-4, -42), (-2, -26), (0, -10), (2, 6) and (4, 22)
For the last table
2(-2) = -4 so -2 is going to have the y as -4
2(-1) = -2 so -1 is going to have the y as -2
2(0) = 0 so 0 is going to have the y as 0
2(-1) = -2 so -1 is going to have the y as -2
2(-2) = -4 so -2 is going to have the y as -4
(-2, -4), (-1, -2), (0, 0), (-1, -2) and (-2, -4)
Question is in image answer question 1
Answers
you can check by plugging in a point
4 = -6(-2) -8
4 = 12-8
4 = 4
Answer:
y = -6x -8
Step-by-step explanation:
4 = -6(-2) -8
4 = 12-8
4 = 4
The explaination above shows how to verify your answer.
Hope this helps u!
-3(x + 5) = 6 - 3(2x + 4) solve for x and show work
Answers
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
Answer:
-3
Step-by-step explanation:
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 3(2x + 4)
-3x - 15 = 6x + 12
+3x +3x
-15 = 9x + 12
-12 -12
-27 = 9x
-------------
9
x = -3
At the museum, there were 4,050 students in attendance from a total
of 15 different school districts. What was the average attendance from
each school district?
Answers
First to Answer:
270
Step by step
4050/15 = 270
Im not certain its 270 So i'd wait for another answer to confirm! Let me know if its correct or not!
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a ratio of 6:5 complete the chart, graph the data, and write the equation that models this proportional relationship
Answers
Answer:
just graph it 6 women to 5 men so put that on a graph?
Step-by-step explanation:
alabama power came by my house that i just bought and installed a new wire support for one of the telephone poles on the property the electrical code says that the support must hit the ground at a 55 degree angle. if the telephone pole is 25 feet tall how long is the wire support that alabama power just installed
Answers
Answer:
30 feets
Step-by-step explanation:
subtrqct 55-25 = 30
Can someone help me?
Answers
Answer: 17=2/9 and 16=3.6
Step-by-step explanation:
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
C. f(x) = 0.5x + 1
D. f(x) = x + 18
Answers
Answer:
A: f(x)=10x+8
Evaluate the expression when c= -6.
c^2+ 7c+8
Answers
Answer:
2
Step-by-step explanation:
1. Substitute c with -6... so the equation would be -6^2 + 7(-6) + 8
2. Simplify... so -6^2 is 36 because when you square something you times it by itself and two negatives multiplied together equals a positive so -6*-6=36 then 7*-6 is -42 because a positive multiplied by a negative is always a negative
3. So now you have 36 + -42 + 8 or 36 - 42 +8 because an when adding a negative it’s basically just like subtracting because they cancel out
4. So when you simplify it’s simply it’s simply 2 because 36-42 is -6 added by 8 is 2
Sorry if this was confusing I’m really bad at explain gm but hope this helps :)
Hey there!
c^2 + 7c + 8
= -6^2 + 7(-6) + 8
= -36 - 42 + 8
= -78 + 8
= -70
Therefore, your answer is: -70
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE ANSWER QUICK A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $25 and each pair of sweatpants costs $21. Write an algebraic expression to represent the total cost if x players want sweatshirts and y players want sweatpants.
Answers
Answer:
25x+ 21y
You multiply x by sweatshirts and y by sweatpants
Step-by-step explanation:
I don't know what sport your talking about or how many people are on the team so im not really sure but hete
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being very satisfactory" This number represented 45% of the total number of customers who took
the survey
What was the total number of customers who took the survey?
A 189
B 65
C 99
D 320
Answers
Answer:
D
Step-by-step explanation:
what is k in 1/4k = 3 (-1/4k + 3)?
Answers
Answer:
k = 9
Step-by-step explanation:
1/4k = 3(-1/4k + 3) distribute
1/4k = -3/4k + 9
+3/4k +3/4k Add
k = 9 Answer
a. When x= -1, what is the value of y?
b. When y= 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
Answers
Answer:
When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5
Step-by-step explanation:
The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.
Dan noticed that each of the four times he ate a hamburger and shake at a fast food emporium, he got a poor grade on a Spanish test that day. He conjectures that he should eat only Mexican food on the day of a Spanish test.
Poor or good inductive reasoning explain why?
Answers
Answer:
That is poor reasoning
Step-by-step explanation:
There is no evidence that because he ate a burger that he will get a good grade. He just sucks at Spanish. He should study more.
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 260, what is his approximate cholesterol level now?
Answers
8%/100= 0.08
then you want to multiply it by 260:
260*0.08=20.8
then subtract that from 260 to get your answer:
260-20.8=239.2
his approx. cholesterol level is 239 :)
find x if 2^(3x-1)=128√5
Answers
Answer:
i think its x=6
Step-by-step explanation:
Write an equation in standard form with an x-intercept of 4 and a y-intercept of 5
Answers
4x+5 = y intercept
rise/run
Jenny is having a party. She has one
large container of soda with 179
ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?
Answers
if a polygon is translated, which of the following characteristics of the polygon are the same?
A side length
B area
C the coordinates of the vertices.
Answers
the following characteristic of the polygon that are the same are A SIDE LENGTH AND B AREA
Translation is a rigid transformation.
The characteristics that will remain the same are: (a) side length and (b) area
When a polygon is translated, the polygon undergoes a rigid transformation.
A rigid transformation does not change the side length and angle of a shape.
The side lengths of the polygon would remain unchanged.Since the side lengths are not altered, then the area of the polygon will also remain unchanged.However, the coordinates would change; because the polygon would change its position after translation.
Hence, the correct options are:
(a) and (b)
Read more about translations at:
https://brainly.com/question/12463306
Jakob is asking to simplify the expression -3a + 4b + 5a + (-7b).
He writes: -3a + 4b + 5a + (7b) = -3a + 5a + 4b + (7b).
Which property allows him to do this?
A. the associative property
B. the commutative property
C. the distributive property
D. the additive identity property
Answers
Answer:
B. Commutative
Step-by-step explanation:
He can do that because it's a sum
Answer:B
Step-by-step explanation:
PLZ HELP, ILL GIVE BRAINLIEST
Solve for x: one over eight (8x + 15) = 24
9
49
one hundred seventy-seven over eight
two hundred seven over eight
Answers
Answer: 177/8
Step-by-step explanation: Step 1: Simplify both sides of the equation.
1
8
(8x+15)=24
(
1
8
)(8x)+(
1
8
)(15)=24(Distribute)
x+
15
8
=24
Step 2: Subtract 15/8 from both sides.
x+
15
8
−
15
8
=24−
15
8
x=
177
8
Answer:
The person above is correct i got it right on my quiz. :)
Step-by-step explanation:
On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answers
Answer:
$2070.6Step-by-step explanation:
Step one:
given data
principal p= $2000
Rate r= 1.75% = 0.0175
time t= 18-16= 2years
Required
The final amount of the compounded principal
The compound interest formula is
A=P(1+r)^t
A=2000(1+0.0175)^2
A=2000(1.0175)^2
A=2000*1.0353
A=2070.6
The account when she turns 18 will be $2070.6
my head is HURTINGG and I cannot do this
put these decimals in order
3.5
14.2
4.37
10.4
17.86
8.93
Answers
Answer:
I think you didn't specify what order this decimals you want to be so:
If you want these to be in ascending order (lowest to highest), then:3.5, 4.37, 8.93, 10.4, 14.2 and 17.86.If you want these to be in descending order (highest to lowest), then:17.86, 14.2, 10.4, 8.93, 4.37 and 3.5.Hope this helps and if you could mark me as brainliest. Thanks!