The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
find the area of a trapezoid
Answer:
40 sqrt 3
Step-by-step explanation:
To find the other side of the triangle:
The triangle is a 30 60 90 right triangle
So...
The other side of the triangle is 4
Area of the trapezoid:
Area of the rectangle+ Area of the triangle:
6* 4root 3+ 4 root3* 4
Answer: 40 sqrt 3
Answer:
44.3
Step-by-step explanation:
1. try to find A
10-(4 radical 3 squared plus b squared equal 64)=A
The equation in parentheses is the pythagorean theorem to find "b" of the triangle
A is 2 radical 13
The base is 10
The height is 4 radical 3
Use the formula and you get the answer.
If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.
Answer:
1.6 tablespoons
Step-by-step explanation:
Let’s make a proportion
syrup/cupcakes=syrup/cupcakes
4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.
4/10=x/4
Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*4/10=x/4*4
The 4s on the right will cancel, so we are left with:
4/4*10=x
1.6=x
So, 1.6 tablespoons are needed for 4 cupcakes.
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
8 Over 20
12 Over 30
6 Over 10
14 Over 35
Answer:
8 over 20
Step-by-step explanation:
i guessed
Answer:
6 Over 10
Step-by-step explanation:
I did the math and got 100% on my Unit Test.
05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)
Question 1 options:
1)
negative five thirds
2)
negative three fifths
3)
three fifths
4)
five thirds
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )
- 3y = - 5x + 12 ( divide all terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
write an equation to represent the following:
five less than 1/3 a number, n. is 3
Four more than twice a number, x, is greater than the sum of three and negative seven.
Answer:
Five less than 1/3 a number n is 3.
[tex]\frac{1}{3}n-5=3[/tex]
Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)
2x+4>3+(-7)
2x+4>3-7
please help, 20 points
Answer:
25x
Step-by-step explanation:
Perimeter is all sides added up
Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
Amelia has a savings account that has an annual yield of 5.2%. Find the balance of the account after each of the first five years if
her initial balance is $2000.
Answer:
Balance of the account after 5 year = $2,577 (Approx)
Step-by-step explanation:
Given:
Initial deposit = $2000
Annual yield (r) = 5.2% = 5.2 / 100 = 0.052
Number of year (n) = 5 year
Find:
Balance of the account after 5 year = ?
Computation:
[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]
Balance of the account after 5 year = $2,577 (Approx)
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Please help question is in image
Answer:
The equation log x = 100 is another way of writing 10x = 100.
Step-by-step explanation:
This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.
Simplify the expression -1/2 (-5/6 + 1/3)
A. -5/12 + 1/3
B. 5/12 - 1/6
C. -5/12 + 1/6
D. 5/12 + 1/3
Answer:
5/12 - 1/6
Step-by-step explanation:
-1/2( -5/6+1/3)
Distribute
-1/2*-5/6 -1/2*1/3
5/12 - 1/6
Which category of two-dimensional shapes apply to all three of these shapes?
quadrilateral
square
rhombus
parallelogram
Answer:
quadrilateral
Step-by-step explanation:
bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answer:
The volume of the new tent will be 3/2 times the volume of the original
Step-by-step explanation:
The original tent is a triangular prism, which missing dimensions of the tent are:
base (b): 6 ftheight (h): 4 ftlength (l): 7 ftVolume of the original tent:
V = 1/2*b*h*l
The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.
Volume of the new tent:
V' = 1/2*b*h'*l
Dividing V' by V:
V'/V = (1/2*b*h'*l)/(1/2*b*h*l)
V'/V =h'/h
Replacing with data:
V'/V =6/4
V' = 3/2*V
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
Pleas choose correct answer
Answer:
b
Step-by-step explanation:
Which list shows the numbers in descending order?
A. -2.5, -2.25, 2.75
B. -2.25, -2.5, 2.75|
C. -2.5, 2.5, -2.75]
D. 2.75,-2.5), -2.25
Answer:
Step-by-step explanation:
help please math please
Answer:
25
Step-by-step explanation:
OUT OF 20 ATTEMPTS A BASKETBALL
PLAYER SCORED 8 TIMES. WHAT
PERCENT OF HIS CHANCES DID HE
SCORE2
C.32%
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156
B)204
C)238
D)282
Step-by-step explanation:
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156 this is most likely correct
B)204 This one may be correct
C)238 X
D)282 X
hope
Based on the calculations, the measure of angle CAD is equal to: C. 238°.
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. Thus, a right angle has a measure of 90 degrees.
How to calculate angle CAD?Angle DBC = 90 - Angle BDC
Angle DBC = 90 - 29
Angle DBC = 61°.
Angle DC = 2 × (Angle DBC)
Angle DC = 2 × 61
Angle DC = 122°.
Now, we can determine the measure of angle CAD:
Angle CAD = 360 - Angle DC
Angle CAD = 360 - 122
Angle CAD = 238°.
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Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly
Answer:
The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.
What is the length of the hypotenuse of a triangle with the points (0,k), (0,0) and (2k, 0)?
2. You deposit $1200 into a bank account. Every year that accounts increase by 15 %.
a) Identify whether this an Exponential Growth or Decay function and write the equation of the
function
Answer:
Exponential Growth, 1200(1.15)
Step-by-step explanation:
It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.
What is the probability of spinning blue on the image shown?
ITS ON THINK THRU MATH NEED HELP
Answer:
So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.
Step-by-step explanation:
Answer:
Where is the picture
Step-by-step explanation:
Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Attention for the conditions:
[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]
Step-by-step explanation:
we have
[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]
So the solutions are 5 because x>0
is (3, 2) a solution of -8x-2y<6?
Choose 1 answer:
Answer:
Yes
Step-by-step explanation:
-8x-2y<6 (I prefer to convert this into standard form y=mx+b)
-8x+8x-2y<8x+6
-2y/-2>8x+6/-2
y > -4x -3
2 > -4(3) - 3
2 > -12 - 3
2 > -15 True or Yes
Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
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Determine the ratio of the directed line segment AB when partitioned by point P.
Answer:
Step-by-step explanation:
2 divided by one over 3 the awnser is a fraction
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
additional 3.1 miles on Saturday. How many miles did she walk last week? *
Your answer
Send me a copy of my responses.
Submit
Answer:
1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked
