4. Write an equation that describes the verbal description. Then, explain your thinking.
Teddy opens a new bank account by depositing the $245 he has saved from mowing lawns. He chose
this account because it will accrue 2% monthly and he wants to save up $2,000 for a car within a
couple of years.
P
Answer:
245 +4.9m = 2000
Step-by-step explanation:
so 245 is what he has and he puts it where he gets 2 percent monthly so 4.9 is 2 percent of 245. 2000 is there because that's how much he wants to save.
How would i find the domain of this?
The domain of the graph is {x : x∈ R}
How to determine the domain?The domain of a function or graph is the set of input values the function can take.
This in other words represents the x values
From the graph, we can see that x values extend indefinitely on both axes.
This is indicated by the arrows at the ends of the curve
This means that the domain is the set of all real numbers
Hence, the domain of the graph is {x : x∈ R}
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is 9x=63,x=7 true or false
Answer:
True
9 * 7 = 63
Therefore when x=7 9x=63
The equation given is true since 7 is the solution.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign.
The two sides of an equation is usually called as left hand side and right hand side.
The given equation is 9x = 63.
There is only one variable here, x.
We have to solve this equation and find whether the solution is 7 or not.
Solution of the equation is the value of x.
9x = 63
Divide both sides of the equation by 9, then, we get,
9x / 9 = 63 / 9
9 gets cancelled in the left hand side and 63/9 = 7.
So we get,
x = 7
So the given statement is true that for 9x = 63, the solution is x = 7.
Hence the given equation is true.
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Solve for x......
[tex]4x + 10 = 2x + 26[/tex]
Answer:
x=8
Step-by-step explanation:
4x+10 = 2x+26
4x-2x+10=2x-2x+26 [Subtract 2x from both sides]
2x+10=26
2x + 10 - 10 = 26 - 10 [Subtract 10 from both sides]
2x = 1
2x/2 = 16/2 [Divide both sides by 2]
x = 8
CHECK:
Does 4x+10 = 2x+26 when x is 8?
4(8)+10 = 2*(8)+26 ?
32+10 = 16+26 ?
42 = 42 YES
Answer:
[tex]\large \boxed{\sf x =8}[/tex]
Explanation:
[tex]\sf \rightarrow 4x + 10 = 2x + 26[/tex]
collect like terms
[tex]\sf \rightarrow 4x -2x = 26-10[/tex]
subtract like terms
[tex]\sf \rightarrow 2x = 16[/tex]
divide both sides by 2
[tex]\sf \rightarrow x = 8[/tex]
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
A 45-45-90 right triangle with one of the legs labeled y, the other leg labeled 4 times the square root of 2, and the hypotenuse labeled x.
,
,
,
,
Answer:
missing side lengths are
leg 1 is 4√2
leg 2 is 4√2
hypotenuse is 8
Step-by-step explanation:
leg 1 is y
leg 2 is 4√2
45-45-90 right triangle means
legs are equal
the longest side is the hypotenuse which is
x
pythagorean theorem =
a² + b² = c²
a and b are the legs
c is hypotenuse
(4√2)² + (4√2)² = c²
4√2 = √16*2 = √32
(√32)² + (√32)² = c²
32 + 32 = c²
64 = c²
take the square root of both sides
√64 = √c²
8 = c
c = 8
CD is the perpendicular bisector of both XY and ST, and CY = 16. Find TY.
The value of TY is 14
Given that CD is the perpendicular bisector of XY and ST and CY = 16
We need to find the value of TY
Here M is the midpoint of ST and D is the midpoint of XY
As shown in the diagram we can say that
CT = CS =12
We can also say that ST║XY
So , ∠CST = ∠CSY
∠CTS = ∠CYX
ΔSCT = ΔXCY
SX = CS - CX
= CY - CX
We can say that MT = SM = 5
DY = DX = 7
TY = SX = 4
CY = CX = 16
ST = SM + MT
ST= 5+5
∴ ST= 10
XY = XD +DY
XY = 7+7
∴ XY = 14
Hence the value of XY is 14
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When is the best time to round a number in a multi-step problem?
Answer:
At the end of the multi step problem
A circle has a diameter with endpoints (-7, 1) and (-3, 7).
What is the equation of the circle?
r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2
Answer: (C) r² = (x+5)²+(y-4)²
Solution:-
The given endpoints are (-7,1) and (-3,7)
so the center will be at the mid point of the line connecting these two points.
hence, center ={ (-7+-3)/2, (1+7)/2 }
hence, C= (-5,4)
so, the equation of the circle is:-
⇒ (x-(-5))²+(y-4)²=r²
or, (x+5)²+(y-4)²=r²
8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water Scott drank yesterday? Ascend Learning 8. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water . What was the number of pints of water Scott drank yesterday ? Ascend Learning
Answer:
4.2 pints
Step-by-step explanation:
3.5 × 1.2 = 4.2
Answer: 4.2 pints
How many significant digits are there in the number 237.16?
Answer:
3
Step-by-step explanation:
What is the volume of figure
Answer:
the middle of the shape
Step-by-step explanation:
simplify the equation. 3(x+2)-9x+5
Distribute
3(x + 2) - 9x + 53x + 6 - 9x + 5Add the numbers
3x + 6 - 9x + 53x + 11 - 9xCombine like terms
3x + 11 -9x-6x + 11Distribute
3(x + 2) - 9x +5
3x + 6 - 9x + 5
Add the numbers
3x + 6 - 9x + 5
3x + 11 - 9x
Combine like terms
3x + 11 - 9x
6x + 11
Find a pattern for the sequence. Use the pattern to show the next two terms.
12, 24, 36, 48, . . .
A. Each term is twelve more than the preceding term; 60, 72
B. Each term is twice the preceding term; 72, 96
C. Each term is five times the preceding term; 60, 70
D. Each term is twelve times the preceding term; 60, 72
Answer:
about this question the sequence of the pattern is according to the table of 12.
Step-by-step explanation:
Table of twelve is.
12
24
36
48
then the answer will be 60
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: Interest rate is given as a monthly rate
Previous balance:$179.32
Payments/credits:$85.00
Unpaid balance:$
Monthly rate:1.25%
Finance charge:$
New purchases=$117.42
New balance=$
The Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
Finance charge
Unpaid balance:
Unpaid balance=Previous balance-Payments/credits
Unpaid balance=$179.32-$85.00
Unpaid balance= $94.32
Finance charge:
Finance charge =Finance charge×Monthly rate
Finance charge=$94.32×1.25%
Finance charge=$1.179
New balance:
New balance =Previous balance-(New purchases-Payments/credits)+Finance charges
New balance=$179.32-($117.42-$85.00)+$1.179
New balance=$179.32-$32.42+$1.179
New balance=$148.079
Therefore the Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
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Answer:
94.32
1.18
212.92
in order
Step-by-step explanation:
3. Find the value of √99225. Hence find the sum of √992.25 and √9.9225.
Step-by-step explanation:
The square root of √9.9225. is 315.
See the decimal places
therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.
Hence the sum, is (31.5+3.15)= 34.65.
Answer- Value- 315
Sum-34.65
If you can can i get a brain list i don't ever get them
Please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for x and z ~
[tex]\qquad \sf \dashrightarrow \: z + 68 = 180[/tex]
[ they form co - exterior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 68[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 112 \degree[/tex]
now, it's time for x :
First angle z is equal to its vertical opposite angle, and then that angle forms co - interior angle pair with (3x - 28)
[tex]\qquad \sf \dashrightarrow \: 3x - 28 + 112 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x + 84 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 180 - 84[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 96[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 96 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 32 \degree[/tex]
That's all... let me know if you have questions ~
Describe three ways to determine the measure of segment YZ.
Triangle X Y Z is shown. Angle X Y Z is a right angle and angle Z X Y is 30 degrees. The length of hypotenuse X Z is 50 meters.
Step-by-step explanation:
tan 30 degre = perpendicular /base
I wrote the rule than you can easily find hope this help you
Using 3 different methods, we can find that YZ = 25m
The complete image of a triangle is attached with the answer below.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations
sin(θ) = (opposite cathetus)/H
cos(θ) =(adjacent cathetus)/H
tan(θ) =(opposite cathetus)/(adjacent cathetus)
Now, in the given image we can see that:
θ = 30°
H = 50m
XY = adjacent cathetus
YZ = opposite cathetus.
We want to find YZ, so with the known things, we can use the first relation:
Sin 30 = YZ / 50
YZ = 50 x Sin30 = 25 meters
Now let's try another way.
We know that the sum of the internal angles of a triangle is always equal to 180°
In a triangle rectangle, we always have an angle equal to 90°.
Then the missing angle for our triangle can be computed from:
Z + 90° + 30° = 180°
Z = 180° - 90° - 30° = 60°
From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:
Cos 60 = YZ / 50
YZ = 50 x Cos 60 = 25 meters
Third way.
Whit the same angle we could find the side XY, the opposite cathetus, with:
Sin 60 = XY / 50
XY = 50Sin 60 = 43.3 meters
Now that we know one of the catheti, we can use the last trigonometric relation
tan 60 = XZ / YZ = 43.3 / YZ
YZ = 43.3 / tan 60 = 25 meters
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Ryan invested $5000 in an account that averaged 5% growth per year. Which equation would be used to best model the situation?
Answer:
f(x)=5000(1+0.05)^x
Step-by-step explanation:
Use the formula: f(x)=P(1+b)^x
P is principal or y-intercept. 5000 is principal.
b is the percentage in decimal form. 0.05 is b.
x is time, in this case years. Since there is not a certain number of years leave x as x.
f(x)=5000(1+0.05)^x
Hope this helps!
If not, I am sorry.
what is mean by Methods of describing a set please friends help me and which question can come?
Methods of describing a set involve using a roster or set-builder notation to outline it.
What are the methods of describing a setThe two methods of describing a set are:
roster methodset- builder notation methodRoster method describes a set by listing all its elements, separated them by commas and enclosed within brackets.
Set- builder notation method describes a set by describing its elements using mathematical statements
Therefore, methods of describing a set involve using a roster or set-builder notation to outline it.
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Sarah’s company sells bracelets and rings. Her first customer buys 3 bracelets and 10 rings, spending a total of $48. Her second customer buys 7 bracelets and 4 rings, spending a total of $54. How much does Sarah charge for one bracelet?
Please select the best answer from the choices provided
A. $3.00
B. $6.00
C. $12.00
D. not enough information
Sarah charges $6.00 for one bracelet.
We know that a collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.
Let Sarah charges $x and $y for one bracelet and one ring respectively.
Since her first customer spends $48 on 3 bracelets and 10 rings, we can write it as
3x + 10y = 48 ...(1)
Since her second customer spends $54 on 7 bracelets and 4 rings, we can write it as
7x + 4y = 54 ...(2)
Now, we have to solve this system of linear equations.
Multiplying (1) by 2, 6x + 20y = 96 ...(3)
Multiplying (2) by 5, 35x + 20y = 270 ...(4)
Subtracting (3) from (4), 35x + 20y - 6x - 20y = 270 - 96
i.e. 29x = 174
i.e. x = 174/29 = 6
Therefore we can conclude that Sarah charges $6 for one bracelet. Option B is correct.
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The density of copper is 8.94 g/cm^3. What is the mass of a rectangular sheet of copper: 10 cm wide, 45 cm long, and 0.2 cm thick?
Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D
A cylinder is a 3D shape having two circular faces.
The answer is Figure A
The slope of the line below is -4. Which of the following is the point-slope
form of the line?
(2,-8)
Answer:
y+2= -4(x-8)
Step-by-step explanation:
The standard form of an absolute value function is f(x)= alx-h+k. Which of the following represents the vertex?
O (-k,h)
O (-h,k)
O (k,h)
O (h,k)
Answer:
vertex = (h, k )
Step-by-step explanation:
the standard form of an absolute value function is
f(x) = a | x - h | + k
where (h, k ) are the coordinates of the vertex
Dan went on a drive. He modeled the relationship between the distance he drives D (in kilometers) and the remaining fuel in his tank C (in liters) as C=40-0.1D. He wanted to graph the relationship for the entire distance of his drive, which was 100 kilometers. What mistakes did Dan make when drawing the graph?
Answer:
B
Step-by-step explanation:
the entire distance was 100 km, but the other 200 km on the x axis is unnecessary
Answer:
A
Step-by-step explanation:
khan acadamy
When 3 times a number is subtracted from 45 the result is 5 plus the number. what is the number?
Answer:
n = 10
Step-by-step explanation:
let the number be n , then
45 - 3n = n + 5 ( subtract n from both sides )
45 - 4n = 5 ( subtract 45 from both sides )
- 4n = - 40 ( divide both sides by - 4 )
n = 10
good afternoon can someone please helppp :))))
Triangle XYZ is dilated by a scale factor of 1/4 to form triangle X'Y'Z'. Side YZ measures 18. What is the measure of side Y'Z'?
(Round your answer to the nearest tenth)
Brian ordered 3 large cheese pizzas and a salad. The salad cost $4.95. if he spent a totai of $47.60 including the $5 tip, how much did each pizza cost? (Assume there is no tax).
Each pizza cost $ 12.65
What is an Equation ?An Equation is used in determination of unknown variables in an expression .
It is given that
Brian ordered 3 large cheese pizzas and a salad.
The salad cost $4.95
Total amount spend = $47.60
Tip = $5
The amount spend in food is $ 47.60-5
= $42.60
Let the price of Pizza is x then the equation that can be formed to determine the price of pizza is
3x + salad = 42.60
3x + 4.95 = 42.60
3x = 37.65
x = $12.65
Therefore each pizza cost $ 12.65
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Answer:
12.55
Step-by-step explanation:
What’s the answer? How do I find the opposite
Answer:
I think the answer is 4
Step-by-step explanation:
y-2-√x-6
what is the domain of this function?
