Answer:
24
Step-by-step explanation:
you need to get The 5 in 5:3 to equal 40, so you multiply both sides in 5:3 by 8 and you're left with 40:24.
if p=q^r q=r^p and r=p^q prove that pqr=1
Step-by-step explanation:
Let:-
[tex]p = {q}^{r}[/tex]be eqn.1
[tex]q = {r}^{p} [/tex]be eqn.2
[tex]r = {p}^{q} [/tex]be eqn.3
Susbstituting the value of p from eqn.1 to eqn.3 ,
[tex]r = {( {q}^{r} )}^{q} \: = {q}^{qr} [/tex]
Substituting the value of q from eqn.2 to eqn.3 ,
[tex]r = ( { {r}^{p} )}^{qr} = ( {r})^{pqr} [/tex]
[tex] = > {r}^{1} = {r}^{pqr} [/tex]
As bases are same in both the sides of this eqn.
[tex] = > pqr = 1[/tex]
We can easily prove the statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex] , then pqr=1.
What is exponent?We know that a number's exponent indicates how many times it should be multiplied.
How to solve it?Given that
[tex]p=q^{r}[/tex]
[tex]q = r^{p}[/tex]
Now, [tex]r=p^{q}[/tex]
i.e. [tex]r=(q^{r})^{q}[/tex]
i.e. [tex]r=(q^{qr})[/tex]
i.e. [tex]r=(r^{p})^{rq}[/tex]
i.e. [tex]r=(r^{pqr})[/tex]
i.e. [tex]\frac{r}{r^{pqr}} =1[/tex]
i.e. [tex]r^{1-pqr} =r^{0}[/tex] [Since [tex]a^{0} = 1[/tex], a is any number]
i.e. 1 - pqr = 0
i.e. pqr = 1
We proved our statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex], then pqr=1.
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Writing a Linear Function to Model a Scenario Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?
Answer: y= 25+2.5x
Step-by-step explanation:
Let a = base pay , b = additional amount per newspaper.
Given: Last week, Pedro delivered 5 newspapers and earned $37.50.
i.e. 37.50=a+5b (i)
This week, he delivered 20 newspapers and earned $75.
i.e. 75=a+20b (ii)
Eliminate (i) from (ii)
37.50=15b
[tex]\Rightarrow\ b=\dfrac{37.50}{15}\\\\\Rightarrow\ b=2.5[/tex], i.e. additional amount per newspaper= $2.5
Put b= 2.5 in (i)
[tex]37.50=a+5(2.5)\\\\\Rightarrow\ 37.50=a+12.5\\\\\Rightarrow\ a=37.50-12.5\\\\\Rightarrow\ a=25[/tex], i.e. base pay = $20
Let x= Number of newspapers Pedro delivers.
y= Earnings he receives in dollars.
y= 25+2.5x will be the required function.
By 2 2 1 S ut at , where S is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of the other variables?
Answer:
Step-by-step explanation:
Given the equation of motion;
S = ut + 1/2 at² where;
u is the initial velocity,
a is the acceleration, and;
t is the time.
We are to express a in terms of u, t and S
Making a the subject of the formula;
S = ut + 1/2 at²
S-ut = 1/2at²
2(S-ut) = at²
a = 2(S-ut)/t²
Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²
18+2(4-1) equation please help!
Answer:
18+2(4−1)
=18+(2)(3)
=18+6
=24
Evaluate: LWH if L = 0.5, W = 0.2, and H= 0.1
Answer:
0.01
Step-by-step explanation:
Replace the numbers with the variables
0.5*0.2*0.1
0.01
The evaluation of the given LWH is 0.01.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given the Parameters as;
L = 0.5, W = 0.2, and H= 0.1
Now to find the volume we are asked to calculate the LWH
Now Replace the numbers with the variables
LWH = 0.5 x 0.2 x 0.1
LWH = 0.01
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It takes Ronnie 4.5 minutes to bake 12 brownies. How long will it take to bake 20 brownies?
Answer:
7.5
Step-by-step explanation:
Answer:
7.2 minutes
Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.
42 ft - 36 ft- 54 ft
Answer:
-48
Step-by-step explanation:
Write an equation of a line that passes through the
point (-4, 5) and have a slope of 1/2
Answer:
y-5=1/2(x-(-4))
Step-by-step explanation:
equation of a st. line having slope m= ½ and passing through the point (x1,y1)
Ms.Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
Answer:
84
Step-by-step explanation:
20 x 4.2=84 also Ms.Yost is a savage
For every 3 girls in Mr Hegarty's class there are 2 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
3:2
Step-by-step explanation:
For every 3 girls : there is 2 boys, so it's 3:2
3:6 in simplest form=1:2
In his science class, Ethan is using a microscope that enlarges objects to 100 times their actual size. If the length of a mosquito is 3.5 millimeters, what is the size as seen under the microscope
Answer:
350 millimeters
Step-by-step explanation:
3.5 millimeters x 100 = 350 millimeters
Any tricks on trigonometry
Answer:
Step-by-step explanation: Tip 1) Always Start from the More Complex Side.
Example Q1) Prove the identity tan⁴x = sec²x (tan²x-1)+1.
Tip 2) Express everything into Sine and Cosine.
Tip 3) Combine Terms into a Single Fraction.
Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.
Tip 5) Know when to Apply Double Angle Formula (DAF)
Helppp please it’s quick
Answer:
ysh what do you need?
Step-by-step explanation:
Can you do fractions on this calculator??
Answer:
Yes, Yes you can, but it is extremely difficult.
Step-by-step explanation
Instead of saying (for example ) [tex]\frac{1}{2}[/tex]
You say 1 divided by 2
Then you get 0.5.
Hope this helps! Tell me if you need more explaination :)
~PumpkinSpice1
Answer:
yes
Step-by-step explanation:
yes
What is the exact value of sin(345°)? 30 PTS, WILL DO BRAINLIEST
A) (sqrt3 + sqrt2)/2
B) (sqrt6 + sqrt2)/4
C) (-sqrt3 + sqrt2)/2
D) (-sqrt6 + sqrt2)/4
-Edge 2020
The value of sin (345)= (-sqrt6 + sqrt2)/4= -0.2588
What is Trigonometry?Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (345)
Now, using Trigonometric identity
sin(a+ b)=sin a x cos b+ sin b x cos a
Now, expand 345= 300+ 45
sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300
sin(300 + 45)= -√3/2 x √2/2 + √2/2 x 1/2
= -√6/4 + √2/4
= -0.2588
Hence, sin (345)= -0.2588
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Plot-1.4 on the number line below
Ramon plays a game which his older sister he first gains 5 points then loses 8 points and finally gains 10 points what is his final score
Please help I will give you Brainlyest
Answer:
7 points
Step-by-step explanation:
started out w/ 5 points, then loses 8
5 - 8 = -3
gains 10 points
-3 + 10 = 7
Select three RATIOS that are equivalent to 5:2
The options are...
2:5
10:4
20:50
35:14
55:22 THANKS!
Answer:
10:4, 35:14, 55:22
Step-by-step explanation:
Please help me solve this. This stuff is brand new to me and I don’t understand it.
Please go step-by-step to explain it
please help w part b! right picture this time
Answer:
View the image below
Step-by-step explanation:
Math please help whoever is good at it ! Points 15
Answer:
3
Step-by-step explanation:
2x + 4 = 10
2x = 6
x = 6 ÷ 2
x = 3
What is the equation of the line shown in the graph?
Answer:
y=-3
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An Ice cream shoppe makes $15 for every 4 milkshakes they sell. If they made $71.25 in one hour on milkshakes, how many did they sell?
Answer:
19
Step-by-step explanation:
Guys pleeease help! I need help asap!
Answer:
10
Step-by-step explanation:
first time they spent 11
2nd time was 1 dollar less
since 1 burrito is 2 dollars 3 is 6
and the 4 tacost were 4 dollars
I might be wrong
Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington
Emma has 4 1/2 pounds of birdseed. She wants to divide it evenly among 3 bird feeders. How much birdseed should she put in each?
Answer:
100 each bird in store and more than 100 depends price
Hellppppp 20 points and brainliest!!!
Answer:
A, B, E
Step-by-step explanation:
(ames are out of order)
Each bell pepper is $1.25 (5÷4)
Carl: 5×1.25=$6.25 = $6.25
Evan: 6×1.25=$7.50 ≠ $9.00
Greg: 10×1.25=$12.50 = $12.50
Dean: 3×1.25=$3.75 = $3.75
Frances: 1×1.25=$1.25 ≠ 1.50
Driving down Bald Mountain in Wyoming, Bobba Dean finds that he descends 1600 feet in elevation by the time he is 2.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent rounded to two decimal places. (1 mile =5280 feet). Remember, he is descending so your answer should be a negative number. Express your answer as a decimal rounded to the nearest hundreth.
Answer:
The slope of the descent is 0.12 rounded to the nearest hundredth
Step-by-step explanation:
The given parameters are;
The vertical distance of descent of Bobba Dean = 1600 feet
The horizontal distance Bobba Dean has moved from the mountain high point = 2.5 miles
1 mile = 5,280 feet
∴ 2.5 miles = 2.5 × 5,280 feet = 13,200 feet
The slope of the descent = (The change in vertical elevation of Bobba Dean)/(The change in horizontal position from the high point of the mountain, by Bobba dean)
∴ The slope of the descent = (1600 feet descent)/(13,200 feet) = 4/33
The slope of the descent = 4/33 = 0.12 rounded to the nearest hundredth
which one is greater 2.2,0.1,4.5,or 4
Answer:
4.5
Step-by-step explanation:
Solve for t.
h=-1/2at^2+ 1
What is t equal to
Answer:
t = − √ 2 a ( − h + 1 )/ a
Step-by-step explanation:
The solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question following as:
h = - 1/2at² + 1
We have to determine the solution to the given equation for t as a subject.
As per the given question, we have
⇒ h = - 1/2at² + 1
Rearrange the terms in the above equation,
⇒ 1/2at² = - h + 1
Multiply by 2 both sides of the equation,
⇒ at² = -2(h + 1)
Divided by "a" both sides of the equation,
⇒ t² = -2(h + 1)/a
⇒ t = √-2(h + 1)/a
Thus, the solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.
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