Answer:
yes
Step-by-step explanation:
Yes, y = 4² is an exponential function.
What is exponential function?
" An exponential function is a mathematical function which can be expressed as y = [tex]a^{x}[/tex] where 'a' is any constant value not equals to 0 and 'x' is a variable which belongs to any real number."
According to the question,
y = 4²
If we compare with general form y = [tex]a^{x}[/tex] of exponential function we have,
a = 4
x = 2
Hence, we conclude that y = 4² is an exponential function.
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Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is wrong.
Step-by-step explanation:
A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :
Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
10(4-7) What is the value of =(4-1) ?
-10
- 6
6
10
Andrea ordered a computer
on the Internet. The
computer cost $1,399 plus
6.5% sales tax. What was
the total amount Andrea paid
for her computer?
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4
Which of the symbol correctly relates The two numbers below 19?20
Answer:
<
Step-by-step explanation:
share $150 among John, mary and Sarah so that each of the two girls receives twice as much as John
Answer:
60 dollars to the two girls each, and 30 dollars to John.
Step-by-step explanation:
If the two girls have 60 dollars (each), then that is twice as much as 30.
60 + 60 = 120.
120 + 30 = 150.
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
19. books
Step-by-step explanation:
thats a lot
Answer:
19 books
Step-by-step explanation:
4b-5=71
Help me find the radius please
Answer:
You have to state the question or have an attachment on your question so we can answer it
The wages of 5 men and 6 boys amount to $114 per day. The wages of 7 men and 8 boys amount to $157 per day. Find the daily wages each man and each boy.
Answer:
let the wages of men and boys be x and y respectively
then
5x+6y = 114
7x + 8y = 157
multiplying equation first by 4 and second by three and subtracting equations
20x + 24y = 456
21x + 24y =471
-x = -15
x= 15 men wages
substituting value of x in equation
5x + 6y = 114
5*15 + 6y = 114
6y = 114 -75
6y = 39
y = 6.5 each boys wages
Step-by-step explanation:
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
math people i really need help
Step-by-step explanation:
explained in the photo
What is the volume of the rectangular prism below?
A
16 cubic units
B
20 cubic units
C
23 cubic units
D
32 cubic units
Answer:
D- 32 cubic units
Step-by-step explanation:
count each side and then multiple the numbers
Please help me!! I'll give brainliest
I wont be able to answer your question but i hope this helps you understand which one is which :)
A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
i hope i helped atleast a little :)
Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?
Answer:3,360.0
Step-by-step explanation:
Solve [tex]17(9-x)-50=52[/tex]17(9-x)-50=52
Answer:
17(9−x)−50=52
Step 1: Simplify both sides of the equation.
17(9−x)−50=52
(17)(9)+(17)(−x)+−50=52(Distribute)
153+−17x+−50=52
(−17x)+(153+−50)=52(Combine Like Terms)
−17x+103=52
−17x+103=52
Step 2: Subtract 103 from both sides.
−17x+103−103=52−103
−17x=−51
Step 3: Divide both sides by -17.
-17x ÷ -17
-51 ÷ -17
x = 3
Help ASAP!!!
Suppose you buy a stock for $2,100. It decreases in value by 15% and then rises
20%. What is the new stock value? Round to the nearest cent.
A) $2,142.00
$1,785.00
B) $2,205.00
D) $2,520.00
Answer:
B
Step-by-step explanation:
20-15= 5 so you do 5% of 2100 by doing 2100 times 0.05 which gives y9u 105. you then add 2100 and 105 together
Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
2700
Step-by-step explanation:
Length= 300m
width= 150 m
Area = Lx W = 300 x 150= 4500 sq m
rate per 100 sq meter= 6
so total cost = 4500/ 100 x 6
= 2700
hope it helps!
Find the slope of a line that goes through (-8, 1) and (-3, -4)
A. -11/3
B. -1
C. 5/5
D. 3/5
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (- 3, - 4)
m = [tex]\frac{-4-1}{-3+8}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → B
Answer:
B. -1
Step-by-step explanation:
Use the following equation:
slope [tex]m =[/tex] [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (-3 , -4)\\(x_2, y_2) = (-8 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables. Simplify:
[tex]m = \frac{(1) - (-4)}{-8 - (-3)} = \frac{1 + 4}{-8 + 3} = \frac{5}{-5} = -1[/tex]
Slope ([tex]m[/tex]) [tex]= -1[/tex], or (B).
~
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.
Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.
Step-by-step explanation:
The sum of two integers is negative, here both integers are negative.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that the sum of two integers is negative.
And both integers are negative
Let a < 0, b < 0
Using a model a + b < 0
Substitute the values a = -1, b = -2, and c = -3 in the inequality of model
⇒ (-1) + (-2) < 0
⇒ -1 - 2 < 0
⇒ -3 < 0
So, the sum of two integers is negative.
Hence, the sum of two integers is negative, here both integers are negative.
Learn more about inequalities here:
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I need help with this pls.....
Answer:
The measure of GJk is 95°
measure of angle HJG is 85
Step-by-step explanation:
45+50= 95
180-95= 85
I need help with this
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
what is 53.8 divided by 4? I will give Brainliest!!!!!!!!!!
Answer:
53.8/4 =13.45
Step-by-step explanation:
Step-by-step explanation:
13.45
I used a calulator
There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.
How many rows must they reserve?
During a snowstorm, the snow falls at a constant rate of 2 Inches per hour. Before the storm, there were 5 inches of snow on the ground from a previous storm. The total number of inches of snow, y. can be expressed in terms of the number of hours it snowed, ... Which equation represents this situation? y=2x+2 y=2x+5 y=5x+2 y=5x+5
Answer:
y = 2x + 5
Step-by-step explanation:
y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start
Answer:
y=2x+5
Step-by-step explanation:
This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.
czi-txdf-gmj Aao sabhi
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
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When you graph a system of equations what are the three possible outcomes?
Answer:
i think its a beaner
Step-by-step explanation:
Please help me
Find the value of x.
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
What is 60 + 9.000000000
Answer:
69
Step-by-step explanation:
Answer:
69.000000000
Step-by-step explanation:
add 60 plus 9.000000000 and you get 69.000000000