Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
64
96
144
208
Answer:
64
Step-by-step explanation:
6(12-3) + 4 + (3×2)
6(9) + 4 + 6
54 + 4 + 6
= 64
A woman can invest some money at 10% simple interest or at 8% compound interest. If
she invests $8000 for 3 years, find which is the more profitable investment and by how much.
Answer:
3/12 percent
Step-by-step explanation:
Describe the slope of the line. Then find the slope. What’s the slope?
Hello there!
We are given two points.
We use the following formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{0-(-1)}[/tex]
[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]
So the slope is -3. Hope it helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Answer:
[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]
[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]
[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=-3[/tex]
_________________________________
Calculate the residual based on the know information: Actual = 8.1 yds Predicted = 9.1 yds
Answer:
okkkkkkkkkkkkkkkkkkkk
Expand and simplify.
(x + 1)(2-6)
Ignore the numbers
Help me how do I do this question
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
Isosceles triangle has , and a circle with radius is tangent to line at and to line at . What is the area of the circle that passes through vertices , , and
The circle that passes through the vertices of triangle ΔABC (A, B, C) is the
circumscribing circle of triangle ΔABC.
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
Reasons:
The given parameters are;
Side length of isosceles triangle ΔABC; [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex] = 3·√6
Radius of circle tangent to [tex]\overline{AB}[/tex] at B and [tex]\overline{AC}[/tex] at C = 5·√2
Required:
Area of the circle that passes through vertices A, B, and C
Solution:
Angle ∠BAO is given as follows;
[tex]\angle BAO = arctan\left(\dfrac{5 \cdot \sqrt{2} }{3 \cdot \sqrt{6}} \right) = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BOA = 90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
[tex]\overline{BC} = 2 \times 5 \cdot \sqrt{2} \times sin\left(90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right) = 15\cdot \sqrt{\dfrac{6}{13} }[/tex]
∠ABO' = ∠BAO' (Base angles of isosceles triangle ΔABO')
[tex]\angle BAO' = \angle BAO = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BO'A = 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
From sine rule, we have;
[tex]\dfrac{\overline{AB}}{sin \left(\angle BO'A \right)} = \mathbf{\dfrac{\overline{BO'}}{sin \left(\angle BAO' \right) \right)}}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)}} = \dfrac{\overline{BO'}}{sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right)}[/tex]
Using a graphing calculator, we get;
[tex]\overline{BO'} = \dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)} \times sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right) = \sqrt{26}[/tex]
The radius of the circumscribing circle [tex]\overline{BO'}[/tex] = √(26)
Therefore, area of the circumscribing circle, [tex]A_{O'}[/tex] = π·(√(26))² = 26·π
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
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The possible question options obtained from a similar question online are;
(A) 24·π (B) 25·π (C) 26·π (D) 27·π (E) 28·π
Help help help please good luck be honest
Answer:
A'(-6,4) B'(2,2) C'(-2,-2)
Step-by-step explanation:
The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).
Simplify: 8√3 + 12√3
Answer:
20√3
Step-by-step explanation:
Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?
Answer:
3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.
right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u
Answer:
option c
Step-by-step explanation:
because 2x +1= 0
2x/2= -1
x= -1/2
What function is graphed below?
Fill in the blanks so the equation has NO SOLUTION.
4(x -3) + 7 = _____x + _____
Answer:
4x + 1
Step-by-step explanation:
evaluating the expression on the left
4(x -3) + 7
Distribute
4x - 12 + 7
4x - 5
Therefor if the constant is any number other than -5
there will be NO SOLUTION
Examples of equations with no solution
4(x -3) + 7 = 4x + 1
4(x -3) + 7 = 4x - 3
4(x -3) + 7 = 4x + 4
Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)
Answer:
Gogogigi
Step-by-step explanation:
In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.
ok so
y= 4/3x2
Y varies inversely with square of x means
y = k (1/x²) where k is the constant
plug in y =1/3 and x = - 2 in the above equation.
1/3=k (1/{-2}²)
1/3=k (1/4)
multiply with 4 to both sides.
4/3 =k
therefore,
y=4/3 (1/x²) = 4/3x²
Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!
Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.
The resulting mixture is 19% milkReasons:
The known quantities are;
The volume of milk Dita adds to an cup of coffee = 18 oz
The percentage of milk in the cup of coffee = 10%
Required:
The percentage milk in the resulting mixture.
Solution:
Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz
The total amount of milk in the resulting mixture = 2 oz + 1.8 oz = 3.8 oz
Volume of the resulting mixture = 2 oz + 18 oz = 20 oz
The percentage of milk in the resulting mixture is therefore;
[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]
The resulting mixture is 19% milk.
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https://brainly.com/question/22599498
What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?
Hai drink 11/24 gallons of water in all day
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Hai has 1 gallon jug of water.
Drinks 1/8 gallons of water before lunch
2/3 gallons of water after lunch.
We need to find how much water did Hai drink all day.
Now we have to add the water he drink.
1/8+2/3
LCM of 8 and 3
3+8/24
11/24
Hence, he drink 11/24 gallons of water in all day.
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00.5 divide 53.342 give solution right answer=brainliest=10 points
☢️⚠☢️nonsense report☢️⚠☢️
Answer:
Iᖴ 00.5÷53.342=0.009373476
Iᖴ 53.342÷00.5=106.684
Step-by-step explanation:
ᕼOᑭᗴ IT ᑕᗩᑎ ᕼᗴᒪᑭ YOᑌ ᒪOᐯᗴᒪOTՏ
Please help me ASAP please please
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
io
14 cm
Answer:
1330.5 cm³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . . for radius r and height h
The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...
V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³
The volume of the cylinder is about 1330.5 cm³.
Answer:
1330.5
Step-by-step explanation:
Radius is half of diameter (11), so 5.5 was the other number I plugged in.
passes through (2,-3) with a slope of -9/2
Answer:
y = — 9/2x + 6
Step-by-step explanation:
m= —9/2
y — y1 = m (x — x1)
y + 3 = —9/2 (x — 2)
y = — 9/2x + 6
What's the constant in 12n + 7 +13k⁴ + 4+ 39z
Answer:
7, 4 or 11
Step-by-step explanation:
No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
what is 2x-3 when x=1
10
Find the area of the shape.
Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
units
Show Calculator
Answer:
(4-x)(x-4)=16-x2 help me please
what set of angles can form a line
Answer:
Did u mean triangle? There are no angles on a line.
Or do you mean two angles of 90 degrees?
Step-by-step explanation:
Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)
Answer:
10
Step-by-step explanation:
The value of P(x<6) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.
So, P(x<6)
= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)
= 1/10 + 1/10+ 1/10 + 1/10 + 1/10
= 5/10
= 1/2
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the formula used to convert temperature from celsius to Fahrenheit is ___ find the formula that you can convert fahrenheit to celeries by solving C
Answer:
Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.
Step-by-step explanation:
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