Answer:
central angle is COA
inscribed angle is CBA
angle COA=100 degrees
angle ABC=50 degrees
arc AC=100 degrees
Step-by-step explanation:
Write an exponential function in the form y=ab^x that goes through points (0, 18)and (3, 6174)
Answer:
[tex]y = 18 \times {7}^{x} [/tex]
Step-by-step explanation:
Using the formula for exponential function,
[tex]y = ab {}^{x} [/tex]
Let plug in 0,18.
[tex]18 = ab {}^{0} [/tex]
Using the zero power rule,
[tex]b {}^{0} = 1[/tex]
[tex]18 = a \times 1[/tex]
[tex]a = 18[/tex]
Since a equal 18 let plug in what we know so far
[tex]y = {18b}^{x} [/tex]
Now let find b.
Let use the other point, 3,6174
[tex]6174 = {18b}^{3} [/tex]
Divide 18 by both sides and we get
[tex]343 = b {}^{3} [/tex]
Take the 3rd root of 343
[tex] \sqrt[3]{343} = b = 7[/tex]
b=7
The equation is
[tex]y = 18 \times 7 {}^{x} [/tex]
5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.
Answer:
x=1 and y= 5[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=[tex]\frac{-5}{4}[/tex]+4
or
y=-1[tex]\frac{1}{4}[/tex]+4
or
y= 5[tex]\frac{1}{4}[/tex]
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4([tex]\frac{-5}{4}[/tex]+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5[tex]\frac{1}{4}[/tex]
Two friends, Emma and Alice, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Emma's hair is already 10 centimeters long and grows at a constant rate of 2 centimeters per month. Alice's hair is 30 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be?
Answer:
50 cm
Step-by-step explanation:
Let
x = number of months
Emma = 10 + 2x
Alice = 30 + x
Equate the equation of both girls
10 + 2x = 30 + x
10 - 30 = x - 2x
-20 = - x
x = 20
How long will their hair be?
Emma = 10 + 2x
= 10 + 2(20)
= 10 + 40
= 50cm
Alice = 30 + x
= 30 + 20
= 50 cm
Micah is 6 years younger than Raul.
Write an expression to show how to find Micah’s age when Raul is 14.
Answer:
8
Step-by-step explanation:
All you have to do is 14 - 6 = ?
Answer:
x+6=14
Step-by-step explanation:
Let x stand for Micahs age
14 is rauls age
subtract 6 from 14 to get micahs age
I’m begging you please help I will even do another one and add more points to your account
Based on the cone shown, which statements are correct?
A)
B)
If the volume is 47 cm”, then the height of the cone is approximately 5 cm.
If the height is 10 cm, then the volume of the cone is approximately 74
cm?
If the height is 20 cm, then the volume of the cone is approximately 289
cm?
The equation v = {1x3)?h can be used to find the volume of the cone.
C)
D)
E)
The equation -
3V
7(3)
can be used to find the height of the cone.
Answer:
A,c,d
Step-by-step explanation:
The solution is Option A.
If the volume is 47 cm³ , then the height of the cone is approximately 5 cm and volume of cone is given by ( 1/3 ) πr²h
What is a Cone?
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the radius of the cone be = r
Now , the value of r = 3 cm
So , the equation will be
The volume of the cone is given by the formula ,
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
a)
If the volume is 47 cm³, then the height of the cone is approximately 5 cm
So , substitute the values in the equation , we get
Volume of Cone = 47 cm³
So ,
( 1/3 ) πr²h = 47 cm³
Radius of cone r = 3 cm
Height of cone h = 5 cm
( 1/3 ) πr²h = 47 cm³
( 1/3 ) x 3.14 x 3 x 3 x 5 = 47
3.14 x 15 = 47
47 = 47
Therefore , the solution is true
Hence , If the volume is 47 cm³, then the height of the cone is approximately 5 cm and the volume of cone is given by ( 1/3 ) πr²h
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Please help will give Brain!!
Answer:
Step-by-step explanation:
You are correct. It's 8/5
Answer:
your answer is correct
Step-by-step explanation:
Hey store buys a jacket for $20 then sells it to customers for 80% more than what is the selling price of the jacket
Given:
Cost of a jacket = $20
Then sells it to customers for 80% more than.
To find:
The selling price of the jacket
Solution:
We have,
Cost of a jacket = $20
Selling price = cost + 80% of cost
= [tex]20+\dfrac{80}{100}\times 20[/tex]
= [tex]20+\dfrac{8}{1}\times 2[/tex]
= [tex]20+16[/tex]
= [tex]36[/tex]
Therefore, the selling price of the jacket is $20.
A town park has two biking trails. Marsh Trail is 5 and 3/10 miles long. Woodland Trail is 2 and 4/5 miles long. How much longer is Marsh Trail than Woodland Trail?
1. 3 and 5/10
2: 2 and 5/10
3: 8 and 1/10
4: 3 and 1/5
I need a answer quick!
Answer:
2. 2 and 5/10
Step-by-step explanation:
5 and 3/10 - 2 and 4/5 —> 4 and 13/10 - 2 and 8/10 = 2 and 5/10
Florence makes y cards in 3 minutes. how many cards does she make in 1 minute
Answer:
y:3
y/3:1
She can make y/3 cards in one minute
Step-by-step explanation:
Answer:
Florence would have made 1/3y card in 1 minute
Step-by-step explanation:
the the total amount is y and y is also 3 then 3 is 3 times more than 1
sorry if it doesn't make sense.
x + 7<8
PLLLLSSS its due in 30 mins
Answer:
[tex]x<1[/tex]
Step-by-step explanation:
subtract [tex]7[/tex] from both sides
plz mark me brainliest. :)
Answer:
x+7<8 = x= -15
Step-by-step explanation:
you welcome :)
A farmhouse shelters 7 animals. Some are horses and some are ducks. Altogether there are 20 legs. How many of each animal are there?
Answer:
3 horses and 4 ducks
Step-by-step explanation:
let h be the no. of horses and d be the no. of ducks
h+d=7
d=7-h
Since horses have 4 legs and ducks have 2 legs,
4h+2d=20
4h+2(7-h)=20
4h+14-2h=20
2h=6
h=3
d=4
Complete this sentence:
12x+24 is equivalent to 4(3x+6) so...
For points
What is 100-47=
Answer:
53
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
one hundred take away forty seven is fifty three :)
Kevin has a checking account. This month he deposits three paychecks. Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125. What is Kevin's new account balance?
Kelvin's new account balance is, $402.25
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Kevin has a checking account. This month he deposits three paychecks.
Here, Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125.
Hence, Kevin's new account balance is,
⇒ 3 × $225.75 - 2 × $75 - $125
⇒ $677.25 - $150 - $125
⇒ $402.25
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Express the decimal 0.43 as a fraction in its simplest form.
Answer:
Step-by-step explanation:
43/100 or 43%
HELP DUE IN 10 MINS!
Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.
If they are not congruent or there is not enough information, then write not possible in each blank.
Postulate:
Congruence Statement: ΔRED ≅ Δ:
Answer:
Yes, they are congruent.
Step-by-step explanation:
Reflected triangles can be congruent
To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.
Answer:
YesStep-by-step explanation:
Two sides and the included angle are congruent:
RD≅SX∠RDE≅∠SXOED≅OXPostulate: SAS
Congruence Statement: ΔRED ≅ ΔSOX
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
Who can help me on my math I’m failing can y’all please help me on some questions.
It’s solving systems of equations
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.
Answer:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *
In Antarctica, the warmest month averages a temperature of -14F, which is 57 degrees warmer than its coldest month. What is the average temperature for the coldest month?
Answer:
its 43
Step-by-step explanation:
n^2 + 7n + 10 factor
Answer:
the answer is (n+2) (n+5)
Step-by-step explanation:
Factor n^2 + 7n + 10 using the AC method.
pls help will give brainliest if it lets me
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Please help I’m being timed
Answer: D: x ∈ [0, 4)
Step-by-step explanation:
For a function:
y = f(x)
The range is the set of the outputs, the possible "y" values
The domain is the set of the inputs, the possible "x" values.
Now, we want to see the domain in which the function increases.
First, we can see that the whole domain of the graph is the interval:
[0, 9]
And a function is increasing if, reading from left to righ, the graph goes upwards.
In the image, we can see that the graph increases in the segment:
[0, 4)
Where we have an open segment because in the point x = 4 the graph stops increasing.
Then the domain where the function increases is:
D: x ∈ [0, 4)
what 2 numbers multiply to -63 and add to-2
Two numbers are 7 and -9, so their product is -63 and sum is -2.
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Let two numbers are x and y
Given,
The multiplication of 2 numbers is -63
[tex]x\times y =-63[/tex]
The addition of 2 numbers is -2
[tex]x+y =-2[/tex]
[tex]x=-2-y[/tex]
On substituting x in [tex]x\times y =-63[/tex]
[tex](-2-y)y=-63[/tex]
[tex]-2y-y^2=-63[/tex]
[tex]y^{2} +2y-63=0[/tex]
[tex](y-7)(y+9)=0[/tex]
[tex]y=7\\y=-9[/tex]
[tex]x=-2-y\\[/tex]
At y=7
x=-9
At x=-9
y=7
Thus, two numbers are 7 and -9
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You go to the store and buy 6 pieces of candy for $7.80.
a) Determine the constant of proportionality and use it to write an equation to find the cost 'y for buying any
number of candies, "X'.
b) What operation did you use to find or determine the unit price?
c) Explain whether you believe this process will work for all scenarios regarding the unit rate?
d) What is the relationship between the constant of proportionality and the Unit Rate?
Students, draw anywhere on this slide!
I needdd helpppp I’ll give u brainlest
Answer:
1
Step-by-step explanation:
Write an equation of the line that passes through the given points
6) (0, 2), (2, 5) 7) (0, -3), (2, -3)
1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the equation below a= b= and c=
Answer:
a=4 b = -16 c=9
Step-by-step explanation:
4(x-2)^2 -7
We need to FOIL out the (x-2) ^2
( x-2)^2 = (x-2) (x-2) = x^2 -2x -2x+4 = x^2 -4x+4
Replace this in the equation
4( x^2 -4x+4) -7
Distribute
4x^2 -16x +16 -7
Combine like terms
4x^2 -16x +9
a=4 b = -16 c=9
Answer: a= 4 b=-16 c=9
Step-by-step explanation:
My teacher told me the answer
Which image shows a rotation?
Answer:
there is no pic
Step-by-step explanation:
edit your question with a pic
What is 3x+8 if x=8
Answer:
y=32
Step-by-step explanation:
y=3(8)+8
y=24+8
24+8=32
y=32
Answer:
32
Step-by-step explanation:
you sub in 8 for x and solve
3(8) + 8
24+8= 32