Answer:
=53
Step-by-step explanation:
a=5-b &. a=9+b
combine
5-b=9+b
-4=2b
b= -2
thus, a=7
(-2)^2 + (7)^2
4+49
=53
simplify 5x-26y+7x+32y
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
Nine hundred sixty pack of reliefs goods are to be distributed to 10 Barangays. How
many packs will each Barangay receive?
Answer:
96
Step-by-step explanation:
960 ÷ 10 = 96
please mark as brainliest answer
Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)
Answer:
Let's see each case.
a) 2
We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}
In our case, we have 240,720
We can see that it ends with a zero, so it is divisible by 2.
b) 3
A number is divisible by 3 only if the sum of its digits is a multiple of 3.
For our number, the sum of the digits gives:
2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15
15 is a multiple of 3, then 15 is divisible by 3.
then 240,720 is divisible by 3.
c) 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
In this case, the last two digits are 2 and 0, so they form the number 20
and we know that 20 = 4*5 is a multiple of 4.
then 20 is divisible by 40
then 240,720 is divisible by 4
d) 5
A number is divisible by 5 if it ends in 0 or 5.
Our number ends in a 0, so it is divisible by 5.
e) 6
A number is divisible by 6 if it is divisible by 2 and 3.
We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.
f) 8
A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.
in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.
In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.
The last two digits form the number 20
if we add 4, we get:
20 + 4 = 24
And 24 is a multiple if 8: 8*3 = 24
Then 24 is divisible by 8, then 240,720 is divisible by 8.
g) 9
Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.
We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9
h) 10
A number is divisible by 10 if the last digit is a zero.
In this case the last digit is a zero, so 240,720 is divisible by 10.
i) 11
A number is divisible by 11 if:
starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.
Then for 240,720 we have:
2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7
-7 is not divisible by 11, so our number is not divisible by 11
Nutz and Boltz, Inc., employs one hundred people; eighty are lawyers and twenty are engineers. Albert, a lawyer at the company, is quiet, likes puzzles, and carries a calculator. Most people, when asked whether Albert is a lawyer or an engineer, will guess that he is an engineer. These people are using __________ to make this faulty guess. A correct guess would have been made if they had used __________.
Answer:
These people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
Step-by-step explanation:
Representativeness heuristic occurs when the similarity of items or events causes individuals to be perplexed about the likelihood of a given result. People usually make the error of guessing that two comparable things or occurrences are more closely related than they are. Therefore, the similarity of an engineer and a calculator confuse the people to guess that Albert is an engineer.
Base rate information refers to the information provided by base rates which are a type of statistic that is used to describe the percentage of a population that exhibits a certain feature. Base rates suggest the likelihood of something based on the lack of other facts. Using the information in the question as an example, if 20% of the employees were engineers and 80% were lawyers, the base rate of lawyers is simply 80%. This implies that Albert is a lawyer, but we won't know for sure until we look at the total number of workers that the base rate information reveals that he is a lawyer.
Therefore, these people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
An object is experiencing an acceleration of 30 m/s2 while traveling in a
circle at a velocity of 3.7 m/s. What is the RADIUS of its motion?
Answer:
[tex]{ \tt{formular :}} \\ { \boxed{ \bf{centripental \: acceleration = \frac{ {v}^{2} }{r} }}} \\ \\ { \tt{30= \frac{ {3.7}^{2} }{r} }} \\ \\ { \tt{r = \frac{ {3.7}^{2} }{30} }} \\ \\ { \tt{radius = 0.456 \: meters}}[/tex]
y = 4x + 5 ; y = x - 4
Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the remening are pennies 1} suppose there are initially p pennies and n nickels in the pigy bank write an equation using the fact that 2/7 of the coins initially in the
Answer:
There are 105 pennies in the piggy bank.
There are 42 nickels in the piggy bank.
Step-by-step explanation:
there are:
p pennies in the piggy bank
n nickels in the piggy bank
Then we can define T, the total number of coins, as:
T = p + n
We know that 2/7 of the total number of coins are nickels.
This can be written as:
n = (2/7)*T = (2/7)*(n + p)
And if we remove 84 pennies, 1/3 of the remaining coins are pennies.
This can be written as:
p - 84 = (1/3)*(n + p - 84)
Then we have a system of two equations:
n = (2/7)*(n + p)
p - 84 = (1/3)*(n + p - 84)
Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.
We can isolate n in the first one, to get:
n = (2/7)*(n + p) = (2/7)*n + (2/7)*p
n - (2/7)*n = (2/7)*p
n*(5/7) = (2/7)*p
n = (7/5)*(2/7)*p = (2/5)*p
n = (2/5)*p
Now we can replace this in the other equation:
p - 84 = (1/3)*(n + p - 84)
p - 84 = (1/3)*( (2/5)*p + p - 84)
Let's solve this for p
p - 84 = (1/3)*( (7/5)*p - 84)
3*(p - 84) = (7/5)*p - 84
3p - 252 = (7/5)*p - 84
3*p - (7/5)*p = 252 - 84
(15/5)*p - (7/5)*p = 168
(8/5)*p = 168
p = (5/8)*168 = 105
There are 105 pennies in the piggy bank.
And we know that:
n = (2/5)*p = (2/5)*105 = 42
There are 42 nickels in the piggy bank.
Divide. (7t^5 + 14t^4 − 28t^3 + 35t^2) ÷ (7t^2) step by step pls
a. t^3 + 2t^2 − 4t + 5
b. t^3 − 2t^2 − 4t + 5
c. t^7 + 2t^2 − 4t + 5
d. t^3 + 2t^2 − 4t − 5
Answer:
choice: A
Step-by-step explanation:
If f(1) = 2 and f(n) = f(n − 1)^2 + 3 then find the value of f(3).
===========================================================
Explanation:
Let's use the recursive rule to find f(2)
We'll plug n = 2 into the second equation to find that...
f(n) = ( f(n-1) )^2 + 3
f(2) = ( f(2-1) )^2 + 3
f(2) = ( f(1) )^2 + 3
f(2) = ( 2 )^2 + 3
f(2) = 4 + 3
f(2) = 7
Notice in the jump from lines 3 to 4, we go from f(1) to 2. So f(2) is dependent on what f(1) is.
In other words, the second term is dependent on the first term.
--------------------
Likewise, f(3) is dependent on f(2)
Plug n = 3 into the recursive definition to find the following
f(n) = ( f(n-1) )^2 + 3
f(3) = ( f(3-1) )^2 + 3
f(3) = ( f(2) )^2 + 3
f(3) = ( 7 )^2 + 3
f(3) = 49 + 3
f(3) = 52
The third term of this recursive sequence is 52.
i don’t understand at all
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of [tex]\frac{1}{4}[/tex], so that is what we are multiplying.
g(x) = [tex]\frac{1}{4}[/tex]|x - 2| - 1
^That is your transformed function.
#teamtrees #PAW (Plant And Water)
for the rectangle, what is the length of side AB
A=(-4,10) B=(2,10) C=(2,2) D=(-4,2)
Answer:
6 units
Step-by-step explanation:
the answer is the image above
Answer:
I've attached the Answer
Can i get some help pls!
Answer:
Graph the system on linear equations.
Step-by-step explanation:
(-4, 4) & (-4, -6)
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Answer:
Length = 6cm
Step-by-step explanation:
You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters
Hope it helps :D
6 cm po tama to mag quandary pi akyu
what is true of the compassion
Answer:
compassion is compassion, that is true
Step-by-step explanation:
An equation having p = -3 as its solution, then the equation is .................
Answer:
2p + 9 = 3
2p = 3 - 9
2p = -6
p = -6/2
p = -3
The product of sinA x cotA is
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
Step-by-step explanation:
120 : 30
ivans get £90 more
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
(FIRST CORRECT FOR BRAINIEST) Given that triangle GHJ = triangle XYZ, what is m
Answer:
∠ J = 71°
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, so
∠ H = ∠ Y = 38°
Since GH = JH then Δ GHJ is isosceles and the 2 base angles are congruent
∠ J = [tex]\frac{180-38}{2}[/tex]= [tex]\frac{142}{2}[/tex] = 71°
Estimate the measure of the following angles
Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)
b. around 230
Step-by-step explanation:
I need the volume of e and f
Answer:
e-154
f-648
Step-by-step explanation:
rttyyuuguguvuhuhihihuhuhuhihihih7
Answer:
for e
[tex] v = \frac{1}{ 2} \times 8 \times 7 \times 5.5 = 154[/tex]
for f
v=6×9×12=648
Help please if you don’t mind Thankyouu!
Answer:
(3V) / b = h
Step-by-step explanation:
V = (1/3)bh multiply both sides by 3
3V = bh divide both sides by b
(3V) / b = h
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent In process
Answer:
(672-640)/640 x 100 = 5%
Four test scores are given. The first three test scores are 20% of the final grade and the last test score is 40% of the final grade. Find the weighted mean of the test scores. Round to the nearest tenth.90 88 95; 92
How can we do this math problem?
Answer:
b) 92
Step-by-step explanation:
1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.
2. it is possible to substitute the value 60 (F=60) into the given equation:
[tex]60=(\frac{Z}{2}+14);[/tex]
3. if to solve the equation above, then Z=92
I WILL MARK BRAINLIEST !!!!!
15.
Use the replacement set {4, 6, 12} to find which values will make the equation 2x + 4 = 16 − x true.
a. None of the values are a solution.
b. The equation has a solution for x = 6.
c. The equation has a solution for x = 12.
d. The equation has a solution for x = 4.
s
Answer:
C
Step-by-step explanation:
2x+4=16-x
2x-x=16-4
x=12
So C
please I need this question fast
We have a linear function [tex]\displaystyle\bf y=\underbrace{k}_{gradient}x+b[/tex] and we know that [tex]\displaystyle\bf \left \{ {{-2\cdot-3+b=2} \atop {-4\cdot -2+b=k}} \right. => \left \{ {{b=-4} \atop {b+8=k} \right. => k=8-4=4 \\\\Answer: \boxed{B) \quad k=4}[/tex]
In ΔGHI, HI = 13, IG = 8, and GH = 16. Which list has the angles of ΔGHI in order from largest to smallest?
Answer:
m<I, m<G, m<H
Step-by-step explanation:
The angle that sees the longest side length has the biggest measurement
so
if we were to list the angles from largest to smallest
m<I, m<G, m<H
Surface area of a cube please HELP HELP HELP
Answer:
The surface area of the cube is 294 m^2
Step-by-step explanation:
The formula for the surface area of a cube is:
(a^2) 6
Explanation behind formula:
a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.
(Surface area- the area of each face of a figure)
Use formula with the given:
(7^2) 6 = 294
Surface area is measured in square meters.
(meters in this situation)
Therefore, the surface area of the cube is
294 m^2
Hope this helps!
Answer:
294
Step-by-step explanation:
formula is = 6(side length)^2
6x(7)^2
=294