Answer:
the circumference is C = 34π units.
Step-by-step explanation:
The circumference of a circle of diameter d is C = πd.
Here the diameter is 34 units. Thus, the circumference is C = 34π units.
Simplify 10( to the power of 9) divided by 10( to the power of 7)
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
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If the suspect is found guilty, then he will go to prison.
Which of the following is a logically equivalent statement to the conditional statement above?
If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.
Answer:
If the suspect goes to prison, then he was found guilty.
Step-by-step explanation:
Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.
The function p(x) represents the number of bacteria in culture after x days. What does p(6) represent
Answer: p(6) represents how the number of bacteria after 6 days.
Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.
Which values are solutions to the inequality below? Check all that apply
sqrt(x) < 13
A. 26
b. 251
C. 28561
d.170
e. 1
F. 15
Answer:
A, E, F
Step-by-step explanation:
With this question, it's mostly just trial and error.
[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.
[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.
[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.
[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.
[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.
[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.
Therefore, A, E and F are true.
**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
What is an equation of the line that passes through the points (6,-6) and (-2,-2)
Answer:
[tex]y=-\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (6,-6) and (-2,-2)
[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{1}{2}x+b[/tex]
Plug in one of the given points and solve for b
[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]
Add 3 to both sides
[tex]-6+3=-3+b+3\\-3=b[/tex]
Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:
[tex]y=-\frac{1}{2}x-3[/tex]
I hope this helps!
Line u has a slope of
-2/5 is parallel to line u. What is the slope of line v?
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
Please help me with 4 I’d really appreciate it
Step-by-step explanation:
4a) The pressure of a basketball can have a large tolerance.
b) Writing an exam has a very low tolerance in terms of time allotment.
c) The amount of milk in a carton has a low tolerance.
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
Solve for X
PLEASEEEEE HELPPPP
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations.
Answer:
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Step-by-step explanation:
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
A.
Let
x = number of packets of strawberry wafers
y = number of packets of chocolate wafers
x + y = 22
3x + y = 30
B. Solve the equation in A using elimination method
x + y = 22 (1)
3x + y = 30 (2)
subtract (1) from (2) to eliminate y
3x - x = 30 - 22
2x = 8
x = 8/2
x = 4
Substitute x = 4 into (1) to solve for y
x + y = 22 (1)
4 + y = 22
y = 22 - 4
y = 18
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Let p: x < -3 let q: x > 3 What is represented by p v q
The dimensions of Mr. Tai’s living room are 10 feet by 18 feet by 8 feet and the dimensions of his family room are 14 feet x by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Answer:
3,680 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is:
length x width x height
Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.
The volume of Mr. Tai’s living room is:
10 x 18 x 8 = 1,440 cubic feet
The volume of his family room is:
14 x 20 x 8 = 2,240 cubic feet
Add the volumes of both figures:
1,440 + 2,240 = 3,680
Hope this helps!
PLEASE HELP ME SO I CAN MOVE ON FROM THIS TOPIC
Answer:
3rd option
Step-by-step explanation:
([tex]\frac{f}{g}[/tex] )(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator
= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator
= [tex]\frac{x-3}{x+2}[/tex]
The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
Answer:
the sum of the remaining exterior angles is 174⁰
Step-by-step explanation:
Given;
the measure of two exterior angles of a decagon = 97° and 89°
The total sum of exterior angles of a polygon is 360⁰
let the sum of the remaining exterior angles = x
sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰
x + 186⁰ = 360⁰
x = 360⁰ - 186⁰
x = 174⁰
Therefore, the sum of the remaining exterior angles is 174⁰
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
5 2/3 divided by 3 1/9?
Answer:
1.82142857143 or 1 23/28
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
51/28 or 1 23/28
Step-by-step explanation:
The LCD here is 9. Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.
Then divide 51/9 by 28/9: Equivalently, invert the divisor (28/9) and multiply:
(51/9)(9/28) = 51/28 or 1 23/28
5 2/3 divided by 3 1/9 is 1 23/28.
If 70 increased to 100 by what percent did it increase?
Answer:
I'm pretty sure it's 30 but I'm not 100% sure.
Answer:
30%
Step-by-step explanation:
70+30=100!
The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6% compounded annually. They were hoping that the money would double twice by the time she was 18 years old. Using the rule of 72, t = StartFraction 72 Over r EndFraction will their hopes come true?
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Answer:
a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.
Can someone actually help me please?
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (4 points)
Answer:
I think point D is the answer.
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
If 3^(2x1)=3^(x+5), what is the value of x?
Answer:
its -3
Step-by-step explanation:
since the bases are equal then the powers are equal
[tex] {3}^{2} = {3}^{x + 5} \\ \\ 2 = x + 5 \\ x = - 3[/tex]
What is the number of possible outcomes in the sample space formed by rolling a dice and flipping 2 coins?
Answer:
24
Step-by-step explanation:
6 sides on die
2 sides on each coin
6 x 2 x 2 = 24
Tori bought 6 pounds of sugar. She wants to divide the
sugar in bags that weigh 1/5 pound each. How many bags
of sugar will Tori make?
PLEASE ANSWER
Answer:
Pretty sure its 30
Step-by-step explanation:
Hope this helps!
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
Oliver wants to buy a new TV. The price was $985. When he goes to the store a
second time, he found that price was marked down by 35%. What is the new
price of the TV?
Answer:
$640.25
Step-by-step explanation:
Answer:
$640.25
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The sum of 6 and c
Answer:
6+c
Step-by-step explanation:
sum means to add
6+c
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m – 2m4 –2m4 – 6m2 + 4m + 9
Answer:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Step-by-step explanation:
Given
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Required
Express in standard form
To do this, we simply reorder the terms of the polynomial in descending order of power.
So, we have:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Answer:
D
Step-by-step explanation:
