Answer: ZR and ZS form a right angle
Step-by-step explanation:
Complementary angles are angles whose sum = 90ᴼ
If R and S are complementary, then their angle measures add to equal 90ᴼ
A right angle = 90ᴼ
ZR and ZS form a right angle.
What is complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
What is right angle?When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.
According to the given question.
Angles R and S are complementary angles.
Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.
Therefore,
The ZR and ZS form a right angle.
Hence, option second is correct.
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If b=5, then 4^1•4^b is equal to?
[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]
hope it helps...
Good luck on your assignment
Answer:
[tex] = 4096[/tex]
Step-by-step explanation:
Given that,
[tex]b = 5[/tex]
Let's solve now.
[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]
Which expression is equivalent to 81^1/3?
33/3
3133
9313
273/3
Answer: 3 3√3
Step-by-step explanation:
81^1/3
=3√81
= 3 3√3
Find the upper bonds for the following lengths : a) 40cm measured to the nearest cm
B)82.8cm measured to the nearest tenth of a cm
Answer: a= 40.5 b= 82.85
Step-by-step explanation:
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
Please mark BRAINLIEST!
URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
not a function
Step-by-step explanation:
you can test it out by sliding your pencil thru the graph and making sure
the function doesn't cross thru the pencil twice
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Answer: (4 , 3 ) and (-3 , -4)
Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant
Which graph shows a negative correlation?
Answer:
Option D
Step-by-step explanation:
because the data wasn't place on a table...
if 60% of a number is 90, what is 4/5 of the number
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At that rate, how many of the 2540 students at the local high school plan to go to college?
Answer:
1960
Step-by-step explanation:
8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.
Answer:2032
Step-by-step explanation:
8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023
I need help pleas help me it’s worth 38 pointsss I need help asap
Answer:
C
Step-by-step explanation:
The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!
Simultaneous equation
Answer:
x = 5, y = 9.
Step-by-step explanation:
8^x / 2^y = 64
3^4x * (1/9)^(y -1) = 81
From the first equation
2^3x / 2^y = 2^6
2^(3x-y) = 2^6
So 3x - y = 6 ..........(1)
From the second equation:
3^4x * 9^(-(y-1)) = 3^4
3^4x * 3^2(-(y-1)) = 3^4
3^(4x+ 2(1 - y)) = 3^4
So 4x + 2(1 - y) = 4
4x - 2y = 2
2x - y = 1 .............(2)
Subtract: (1) - (2):
x = 5.
and 2(5) - y = 1
so y = 9.
Solving the simultaneous equations we get x is 5 and y is 9 .
Simultaneous equations in algebra are those that concurrently involve two or more variables, such as x and y. Even though they are solved simultaneously, the equations are known as simultaneous equations. Just these equations alone have innumerable answers.
A system of equations, often known as an equation system, is a collection of finite equations for which common solutions are sought.
The two given equations can be simplified as:
[tex]8^x \div 2^y = 64\\\\or,\frac{2^{3x}}{2^y} =2^6\\\\or, 2^{3x-y}=2^6\\\\or, 3x-y = 6[/tex]
And :
[tex]3^{4x} \times (\frac{1}{9})^{y-1}=81\\\\or, 3^{4x} \times 3^{-2(y-1)}=3^4\\\\or, 3^{4x+2-2y}=3^4\\\\or, 4x-2y = 2\\\\or,2x-y=1[/tex]
Now we can solve the two simultaneous equations :
3x - y = 6 and 2x - y = 1
Subtracting the equations we get:
x = 5
and
y = 9
Solving the simultaneous equations we get the value of x as 5 and the value of y as 9 .
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Complete the following: 2197 is the CUBE root of ______
72= 27+ 9s solve the equation
Answer:
s=5
Step-by-step explanation:
72=27+9s
Subtract 27 from both sides.
72-27=9s+27-27
45=9s
Divide 9 from both sides.
5=s
Which of the following is a quadratic function?
in photo..
Answer:
[tex]f(x)=-3x^2[/tex]
Step-by-step explanation:
A quadratic function is a function in which its degree (Highest power of the variable) is 2.
[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.
5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?
Answer:
60km
Step-by-step explanation:
75/10=x/8
Solve For X
75*8=600, 600/10=60
THEREFORE
75/10=60/8
You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage
Answer:
60km
Step-by-step explanation:
Let x represent the required distance.
Since the quantity of petrol is directly proportional to the distance:
x : 75 = 8 : 10
i.e. [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]
x = [tex]\frac{75 * 8}{10}[/tex]
x = 60
∴ The distance is 60 km.
Hope this helps!!!
PLEASE HELP ASAP!!!
How is solving addition and subtraction equations similar to and different from solving multiplication and division equations?
Answer:
Here is what I think:
Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.
The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The perimeter of the triangle is 61cm. Find the length of each side.
Take sides as [tex] a, \: ar, \: ar^2[/tex]
9) A grandmother is nine times older than her grandson. If she is also 56 years older than
him, what is the age of her grandson after 6 years?
a) 7 years
b) 9 years
c) 11 years
d) 13 years
Answer= 13 years
Solution,
Let the age of grandmother be y
Let the age of grandson be X
according to question,
9x=y ( equation I)
X+56=y( equation ii)
Substituting,
9x=x+56
or,9x-x=56
or,8x=56
or,X=56/8
X=7
Again,
Age of grandson after 6 years
=7 years+6 years
=13 years
Hope it helps
Good luck on your assignment
The age of her grandson after 6 years is 13 years.
What is the algebraic equation?A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.
How to solve this problem?Let the age of the grandmother be x and the age of her grandson be y.
Since the grandmother is 9 times older than her grandson, we can write
x = 9y ...(1)
Since the grandmother is 56 years older than her grandson, we can also write
x = y + 56 ...(2)
We have to solve these two algebraic equations.
Equating the L.H.S. of (1) and (2),
9y = y + 56
i.e. 9y - y = 56
i.e. 8y = 56
i.e. y = 56/8 = 7
So, now the age of her grandson is 7 years.
Therefore the age of her grandson after 6 years is 6+7= 13 years.
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f(n) = 4(n-1) + 7
fine the first three(3) terms in the sequence show all work
Answer:
f(n) = 4(n-1) + 7
First term
f(1) = 4(1-1) +7 = 0 + 7 = 7
Second term
f(2) = 4(2-1) + 7
= 4(1) + 7 = 4 + 7 =11
Third term
f(3) = 4(3-1) + 7
= 4(2) + 7
= 8 + 7 = 15
Therefore the first three terms of the sequence are 7, 11 and 15.
Hope this helps
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?
Answer:
[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define significance level
In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:
Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]
=> [tex]z[/tex] = [tex]-1.645[/tex]
Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])
[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083
[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083
Step 3: Apply the formula to check test statistic:
[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]
with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.
The null hypothesis will be rejected if [tex]K < z[/tex]
Step 4: Calculate the value of K and compare with [tex]z[/tex]
[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]
We have [tex]-2.46 < -1.645[/tex]
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As [tex]H_{1}[/tex] states)
Hope this helps!
:)
Which bar diagram represents the equation 5x + 7.5 = 15?
5X
7.5
15
7.5
5X
15
15
5x
7.5
LO
7.5x
15
Mark this and return
Save and Exit
Next
Answer:
it would be C i took the test
Step-by-step explanation:
Answer:
The answer would be C because i just took the test and got it right hope this helps.
Step-by-step explanation:
Write down the solution for 5x - 12 = x - 8. Write down your answer in the form x =
Answer:
x= 1
Step-by-step explanation:
5x - 12 = x - 8
Subtract x from each side
5x -12 -x = x-8-x
4x -12 = -8
Add 12 to each side
4x-12+12 = -8+12
4x = 4
Divide each side by 4
4x/4 = 4/4
x = 1
i need help pls i would really appreciate it !!
So 59 rounded to the nearest ten is
Answer:
60
This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.
Answer:
60.. hope it helps
Step-by-step explanation:
Check the number in the ones place
It's is 9, which is greater than 5 so we will add 1, to the tens place,
It becomes 60
Another method..
The closest tens multiples to the given number are 50 and 60.
Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
Solve 1 over 25 = 5x + 4. (1 point)
Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.
A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.
Let's see if we can recreate the histogram from the description.
Time count
0.5 0
1 0
1.5 2
2 1
2.5 3
3 1
3.5 2
4 1
4.5 0
5 0
The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.
For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.
Answer: B the mean will decrease
Answer:
B
Step-by-step explanation:
This is because the mean will decrease
PLEASE HELP!! The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been made to the account, which statement describes the accounts growth.
The table and answers are attached.
Answer:
C
Step-by-step explanation:
The answer is c because 10.5 also equals up to 1,32300
The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.
What is an example of a cash account?
Cash accounts
A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.
What type of account is ideal for investment?A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.
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What is a equivalent expression to $3.79 x 2 = $7.58
Answer: $7.58/2=$3.79
Step-by-step explanation:
Factorise 20x+25
thankful for the help
Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)