Answers
Answer:
31
Step-by-step explanation:
PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction
This is just the order you do the operations.
First, Parentheses.
Second, Exponents,
Third, Multiplication or Division
Last, Addition or Subtraction
So we have,
[6(20) + 3(15)] ÷ 5
We first look at Parentheses.
The first case is 6(20)
6(20) = 120
We have [120 + 3(15)]÷ 5
We solve 3(15) as its the next parentheses
3(15) = 45
We have [120 + 45] ÷ 5
Then we solve for [120 + 45] as it's in brackets.
[165] ÷ 5 = 31
The answer is 31.
Related Questions
What is the rule for the transformation above?
A.
f(x , y) = (-x , y)
B.
f(x , y) = (-x , -y)
C.
f(x , y) = (y , x)
D.
f(x , y) = (x , -y)
Answers
The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
What is the transformation of figure?Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.
The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,
Reflection about x-axis [tex](x,y)-- > (x,-y)[/tex]Reflection about y-axis [tex](x,y)-- > (-x,y)[/tex]The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,
[tex]f(x , y) = (-x , y)[/tex]
Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
Learn more about the transformation of the figure here;
https://brainly.com/question/2689696
#SPJ1
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.
StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The coefficient of the solution is 6.4, the difference of the original coefficients.
The exponent of the solution is –12, the difference of the original exponents.
The coefficient of the solution must be greater than or equal to one but less than 10.
The quotient is 3.0 × 10-12
The solution is a very large number.
Answers
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
The answer is B, C, D :)
Thanks to the person above me have a good day
Correct on edge 2022 :).
Find the volume of the composite figure please help me I don’t understand it thankyou
Answers
Answer:
i dont eather i need to know the ?
Step-by-step explanation:
What percent of 175 is 122
Answers
Answer:
69.71%
Hope this helps!
Answer: 69.7142857%
Step-by-step explanation:
Find the value of tan(A+B)
Answers
Answer:
[tex]\tan (A+B) =-\frac{680}{111}[/tex]
Step-by-step explanation:
[tex]\tan A=\frac{12}{5}[/tex]
[tex]\cos B=\frac{45}{53}\implies \sec B=\frac{53}{45}[/tex]
Now, by trigonometric identity:
[tex]\tan^2 B =\sec^2B-1[/tex]
[tex]\implies \tan^2 B =\bigg(\frac{53}{45}\bigg)^2-1[/tex]
[tex]\implies \tan^2 B =\frac{(53)^2-(45)^2}{(45)^2}[/tex]
[tex]\implies \tan^2 B =\frac{(28)^2}{(45)^2}[/tex]
[tex]\implies \tan B =\pm\sqrt{\frac{(28)^2}{(45)^2}}[/tex]
[tex]\implies \tan B =\pm\frac{28}{45}[/tex]
It is given that: Angles A and B are in quadrant I.
---------------------> Angles A and B would be positive.
[tex]\implies \tan B =\frac{28}{45}[/tex]
Next,
[tex]\tan (A+B) =\frac{\tan A +\tan B}{1-\tan A \tan B}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{12}{5} +\frac{28}{45}}{1-\bigg(\frac{12}{5}\bigg) \bigg(\frac{28}{45}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{108}{45} +\frac{28}{45}}{1-\bigg(\frac{336}{225}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\bigg(\frac{225-336}{225}\bigg)}[/tex]
[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\frac{-111}{225}}[/tex]
[tex]\implies \tan (A+B) =-\frac{680}{111}[/tex]
In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds
Answers
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
Learn more about use of addition rule for two subsets here:
https://brainly.com/question/13763175
#SPJ1
Grade 12 Math:
Find the slope of the normal to the curve x = a cos³ θ, y = a sin³ θ at θ = π/4.
Don't give spam answers & don't post plagiarised answers either. I know the answer, I don't get the method though. It'll be helpful if someone solves it for me. Thanks.
Answers
Given x = acos³θ , y = asin³θ
Diffrentiating w.r.t. θ
dx/dθ = -3acos²θsinθ ____(1)
dy/dθ = 3asin²θcosθ ______(2)
diving (2) by (1)
dy/dθ ×dθ/dx = -( 3asin²θ cosθ /3acos²θsinθ )
dy/dx = - tanθ
dy/dx = slope of tangent = -tanθ
putting θ = π/4
∴ dy/dx =- tanπ/4 = -1
but , slope of normal = - 1/slope of tangent
∵ slope of normal = -1/-1 = 1
∴ slope of normal = 1 Answer
Answer:
Slope of normal = 1
Step-by-step explanation:
[tex]\sf x =aCos^3 \ \theta\\\\\dfrac{dy}{d \theta} = a*3Cos^2 \ \theta (-Sin \ \theta)\\[/tex]
[tex]\sf = -3aCos^2 \ \theta *Sin \ \theta[/tex]
[tex]\sf y =aSin^3 \ \theta\\\\\dfrac{dy}{d\theta}=a*3Sin^2 \ \theta*(Cos \ \theta)\\\dfrac{dy}{d\theta}=3aSin^2 \ \theta*Cos \ \theta[/tex]
[tex]\sf Slope \ of \ Tangent = \dfrac{dy}{dx} =\dfrac{dy}{d\theta} \div \dfrac{dx}{d\theta}[/tex]
[tex]\sf = \dfrac{3aSin^2 \ \theta \ Cos \ \theta}{-3aCos^2 \ \theta \ Sin \ \theta}\\\\ = \dfrac{-Sin \ \theta}{Cos \ \theta}\\\\= -tan \ \theta[/tex]
[tex]\theta = \dfrac{\pi }{4}\\\\-tan\ \theta = -tan \ \dfrac{\pi }{4} \\\boxed{tan \ \dfrac{\pi }{4}=-1}[/tex]
Slope of tangent * slope of normal = -1
[tex]\boxed{\text{Slope of normal =$\dfrac{-1}{Slope \ of \ tangent}$}}[/tex]
[tex]\sf \text{Slope of normal=\dfrac{-1}{-1}}[/tex][tex]\sf Slope \ of \ normal =\dfrac{-1}{-1}[/tex]
= 1
whats 4 x 4 x 4 divided by 2
Answers
Answer:
32
Step-by-step explanation:
4×4×4=64 then you divide 2 will be 32
Answer:
32
Step-by-step explanation:
4x4=16
16x4=64
64/2=32
[tex]Hence,TheAnswerTo...\\\frac{4^{3} }{2} =32[/tex]
Solve u^2= -25, where u is a real number.
Simplify your answer as much as possible.
If there is more than one colution
Answers
the answer is ±5i :)
write the 3 properties of logarithm used to combine logarithms
Answers
Answer:
here!
Step-by-step explanation:
Properties/Rules Exponents Logarithms
Product Rule xp.xq = xp+q loga(mn) = logam + logan
Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan
Power Rule (xp)q = xpq logamn = n logam
The rectangle below represents the base of a rectangular prism. Use the ruler provided to measure the dimensions of the rectangle to the nearest centimeter. S The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism? A 32 cm³ B 20 cm³ C 360 cm³ D 240 cm³
Answers
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the rectangular prism = length * width * height = 5 cm * 6 cm * 12 cm = 360 cm³
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
there r 12 fish tanks
each fish tank has 20 quarts
every 10 gallons eqal 1 teaspoon
how many teaspoons for the fish tanks
Answers
Answer:
six teaspoons
Step-by-step explanation:
12 fish tanks, each 20 quarts
12x20=240 quarts in 12 tanks
we need to convert quarts to gallons
4 quarts equal one gallon, so
240/4=60 gallons in 12 tanks
60 gallons divided by every 10 gallons equal six teaspoons.
pls fast.
..
...........
Answers
Answer:
8 1/6
Step-by-step explanation:
4 1/2 + 3 2/3
convert to improper fractions
9/2 + 11/3
find lcm
27+22/6
49/6
convert back to mixed
8 1/6
Answer:
step by step
Step-by-step explanation:
12+12__12john
Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM withdrawals cost $2. At the beginning of the month, Patty’s checking account balance is $700. She deposited $300 from her job and withdrew $20 in cash from a nonbank ATM. She wrote a check for $100 to a local charity. What is her checking account balance at the end of the month?
A) $958
B) $868
C) $728
D) $658
Answers
Answer:
B) 868
Step-by-step explanation:
1. You add 700+300 which is 1000
2. You subtract the amount wasted or withdrawn which will get you 880
3. You subtract the fees which will then get you 868 as your answer
solve using the square root method
Answers
Answer:
x = ±6
Step-by-step explanation:
→ Add 12 to both sides
1/3 x² = 12
→ Multiply both sides by 3
x² = 36
→ Square root both sides
x = ±6
[tex]\sf\fbox\red{។question។:-} [/tex]
Anastasia got 93% in her exam out of marks is 600 find out the obtained marks
options: a) 560 b)540 c)470 d)490
Answers
Answer:
A. 560
Step-by-step explanation:
multiply 600 by 0.93 in order to find out what 93% of 600 is.
600 x 0.93 = 558
since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%
a) 560/ 600 = 0.93333 = 93.3%
there's your answer.
but to compare it with the rest of the answer choices:
b) 540 / 600 = 0.9 = 90%
c) 470 / 600 = 0.78333 = 78.3%
d) 490 / 600 = 0.81667 = 81.6%
none of these are in the range of 93, so they're incorrect
joseph biked 1/4 mile in 90 seconds. Of he continued at this rate, how far did joseph bike in one hour?
Answers
Answer:
10 miles
Step-by-step explanation:
3600 ÷ 90 is 40 then 40÷4 is 10
Answer: 1/6mile
Step-by-step explanation:
¼mile in 1½hr
In 1½hr He biked ¼mile
in 1hr He biked ¼ ÷ 1½
¼ ÷ 1½
¼ ÷ 3/2
¼ × ⅔ = 2/12 = ⅙mile
Suppose y varies directly with x, and y = 68 when x = 17. What is the value of x when y = 16 ?
Answers
Answer:
x=4
Step-by-step explanation:
y=68 and x=17
68/17=4
y=16 and x=?
16/4=4
x=4
please help !!! im so lost with this
Answers
Answer:
hj means has a job
nj means no job
Step-by-step explanation:
Provide an example of a treatment and a control group.
Answers
Answer:
let's say you wanted to know if Gatorade increased athletic performance. Your experimental group would be given the Gatorade and your control group would be given regular water. or an experiment in which the researcher tests whether or not a new fertilizer has an effect on plant growth.
Step-by-step explanation:
Answer:an example of a treatment and a control group a human experimental group could receive a new medication, a different form of counseling, or some vitamin supplements. A plant treatment group could receive a new plant fertilizer, more sunlight, or distilled water. The group that does not receive the treatment is called the control group
Step-by-step explanation:
Which of the following inequalities is graphed on the number line below?
Answers
Since the arrow is going to the left side that means x must be LESS than 2, so the sign must be <.
Therefore, answer is A.
The sum of the areas of two circles is 80 square meters.find the length of a radius of each circle is one of them is twice as long as the other
Answers
Answer:
4 For Small
8 For big
Step-by-step explanation:
80 Square Inches in terms of pie, since one of the radius points are 2 times the other we can setup a equation
(Leaving out pi for simplicity)
R^2 + 2R^2= 80
Now since R is doubled in spot we can plug in points until we get the answer
1:2 (Too small)
2:4 (Too Small)
3:6 (Too small)
4:8 (Fits)
If we plug 4 for R it satisfies the equation for our criteria.
2x2x3x4x442x24ex5x7677x6748
Answers
Answer:
5.436564x^14905
What is the value of the given expression when a=3 and b=5?
12a+12b
Answers
…please if I’m right do mark Brainly-est
Answer:
see explanation
Step-by-step explanation:
12(3)+12(5)=use a calculator.
Type it in a calculator.
I need help with this please I will mark brainliest if possible
Answers
Step-by-step explanation:
[tex] - \sqrt{2 } \div 2[/tex]
Use the unit circle to help you!
A circle has a radius 6 inches. If a sector of the circle has an area of 10.8Tt square inches, then what
percent of the circle's area does the sector represent?
Answers
A = pi • 6 • 6
A = 113.097335529 square inches
To get the percent of the section, divide the section by the whole, and multiply by 100.
10.8/113.097335529 = 9.54929658553%
Find the area using the given image.
Answers
Answer:
4.
Step-by-step explanation:
Area = 1/2 * base + height
= 1/2 * 2 * 4
= 4 unit^2.
Evaluate the expression x^3+ x^2 X equals 4
Answers
Answer:
x=-2 you just put the equation on the computer
What is an equation of the line that passes through the points (-3, -4) and (-4,-6)?
Answers
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
[tex]euation \: of \: a \: line \: has \: the \: forula \\ y - y1 = m(x - x1) \\ where \: m = slope \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 6 - - 4}{ - 4 - - 3} \\ = \frac{ - 6 + 4}{ - 4 + 3} = \frac{ - 2}{ - 1} = 2 \\ now \: putting \: m = 2 \: into \: the \: equation \\ y - - 4 = 2(x - - 3) \\ y + 4 = 2(x + 3) \\ y + 4 = 2x + 6 \\ y = 2x + 6 - 4 \\ y = 2x + 2[/tex]
PLEASE RATE AND MARK BRIANLIEST
Please help it’s do tomorrow
Answers
Answer:
3
Step-by-step explanation:
You divide 45 and 60 then you mutliple the number by 4 then find your anser after you done sovled this is how you solve it divided by 60=0.75 mutiply by 4=3 3 or 4/3