The expressions that are equal to 7⁸ x 7 are:
B. For (7¹⁸)/7⁹
C. For (7³)³
E. For 7⁴ x 7⁵
What are the fundamentals of exponential functions?Exponential functions now have formula f(x) = bx, where b > 0 and b 1. As in any exponential expression, b serves termed the base and x is called its exponent. The proliferation of bacteria is an example of such an exponential function.
According to the given data:A. For 7³ x 7³
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7³ ⁺ ³
Calculate the sum or difference: 7⁶
Calculate power : 117649
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁸ ⁺ ¹
Calculate the sum or difference: 7⁹
Calculate power : 40353607
Check equivalency: False
Solution: False
B. For (7¹⁸)/7⁹
Reduce the fraction: 7⁹
Calculate power : 40353607
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁸ ⁺ ¹
Calculate the sum or difference: 7⁹
Calculate power : 40353607
Check equivalency: True
Solution: True
C. For (7³)³
simplify using exponent power rule : 7⁹
Calculate power : 40353607
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁸ ⁺ ¹
Calculate the sum or difference: 7⁹
Calculate power : 40353607
Check equivalency: True
Solution: True
D. For 7⁴ + 7⁵:
Calculate the power: 2401 + 16807
Calculate the sum or difference: 19208
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁸ ⁺ ¹
Calculate the sum or difference: 7⁹
Calculate power : 40353607
Check equivalency: False
Solution: False
E. For 7⁴ x 7⁵:
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁴ ⁺ ⁵
Calculate the sum or difference: 7⁶
Calculate power : 40353607
simplify using exponent rule with the same base: aⁿ x aˣ
= aⁿ ⁺ ˣ
= 7⁸ ⁺ ¹
Calculate the sum or difference: 7⁹
Calculate power : 40353607
Check equivalency: True
Solution: True
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I understand that the question you are looking for is:
Select all the expressions that are equivalent to 7⁸ x 7.
A. For 7³ x 7³
B. For (7¹⁸)/7⁹
C. For (7³)³
D. For 7⁴ + 7⁵:
E. For 7⁴ x 7⁵
Answer:
none
Step-by-step explanation:
point steeler
Modern Managed Hospitals (MMH) is a national for-profit chain of hospitals. Management wants to survey patients discharged this past year to obtain patient satisfaction profiles. It wishes to use a sample of such patients. Several sampling techniques are described below. Categorize each technique as simple random sample, stratified sample, systematic sample, cluster sample, or convenience sample.
(a)
Obtain a list of patients discharged from all MMH facilities. Divide the patients according to length of hospital stay (2 days or less, 3–7 days, 8–14 days, more than 14 days). Draw simple random samples from each group.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(b)
Obtain lists of patients discharged from all MMH facilities. Number these patients, and then use a random-number table to obtain the sample.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(c)
Randomly select some MMH facilities from each of five geographic regions, and then include all the patients on the discharge lists of the selected hospitals.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(d)
At the beginning of the year, instruct each MMH facility to survey every 500th patient discharged.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
(e)
Instruct each MMH facility to survey 10 discharged patients this week and send in the results.
simple random sample
stratified sample
systematic sample
cluster sample
convenience sample
The sampling techniques are given as follows:
a) stratified sample.
b) simple random sample.
c) cluster sample.
d) systematic sample.
e) convenience sample.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.Then:
In item a, patient are divided into groups, and samples from each group are taken, hence stratified sampling is used.In item b, all patients are listed, and a random number table is used to select them, hence it is a simple random sample.In item c, the patients are divided into groups according to regions, and all elements of each group are sampled, hence cluster sampling was used.In item d, one every kth patient was sampled, with k = 500, hence it is a systematic sample.In item e, any of the discharged patients can be sampled, hence they are sampled according to convenience.More can be learned about sampling techniques at https://brainly.com/question/25122507
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Which fraction is greater than -2/3 and less than -1/2?? Please help!! Thank you!!
first of all let's recall that on the negative side of the number line, the closer to 0, the greater, so -1 is much greater than -1,000,000.
well, let's simply try to convert both fractions to the same denominator by multiplying top and bottom by 1 or namely the same value, hmmm let's multiply -2/3 by 2/2 = 1, and -1/2 by 3/3 = 1
[tex]-\cfrac{2}{3}\cdot \cfrac{2}{2}\implies -\cfrac{4}{6}\hspace{5em}-\cfrac{1}{2}\cdot \cfrac{3}{3}\implies -\cfrac{3}{6}[/tex]
well, rats, no much wiggling room there, well, let's simply multiply them again by 1, in this case hmmmm 2/2 for both
[tex]-\cfrac{4}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{8}{12}}\hspace{5em}-\cfrac{3}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{6}{12}} \\\\\\ \underset{-\cfrac{2}{3}}{\boxed{-\cfrac{8}{12}}}\hspace{5em} < \qquad -\cfrac{7}{12}\qquad < \hspace{5em} \underset{-\cfrac{1}{2}}{\boxed{-\cfrac{6}{12}}}[/tex]
.......................
Answer:
Step-by-step explanation:
6.92
What’s the y and c intercept
Answer:
x - intercept; (80, 0)
y - intercept; (0, ∞)
Step-by-step explanation:
Let Week be w and Amount be A;
We see an inverse proportionality;
[tex]{ \rm{w \: \alpha \: \frac{1}{A } }} \\ \\ { \rm{w = \frac{m}{A} }}[/tex]
m is a constant of proportionality;
When w is 1, A = 68
[tex]{ \rm{ 1 = \frac{m}{68} }} \\ \\ { \rm{m = 68}}[/tex]
Therefore;
[tex]{ \tt{w = \frac{68}{A} + c }} \\ [/tex]
c is a constant;
When w is 0, A is 80
[tex]{ \rm{0 = \frac{68}{80} + c}} \\ \\ { \rm{c = - \frac{17}{20} }}[/tex]
Overall equation:
[tex]{ \rm{y = \frac{68}{x} + \frac{17}{20} }} \\ [/tex]
For x-intercept, y = 0
[tex]{ \rm{ \frac{17}{20} = \frac{68}{x} }} \\ \\ { \rm{x = 80}}[/tex]
For y-intercept, x = 0
y = ∞
Solve the inequality below for
Answer:
[tex]p ≤6[/tex]
Step-by-step explanation:
Inequality: [tex] - 4p +36 ≥2p[/tex]
Collect like terms
→ [tex] - 4p - 2p≥ - 36[/tex]
→ [tex] - 6p≥ - 36[/tex]
Divide both sides by -6
→ [tex] \frac{ - 6p}{ - 6}≤\frac{ - 36}{ - 6} [/tex]
Therefore: [tex]p ≤6[/tex]
I hope this helpsQuestion 1 of 10
What can you say about the y-values of the two functions f(x) = -5* +2 and
g(x)=-5x² +2?
A. f(x) and g(x) have equivalent maximum y-values.
B. The maximum y-value of f(x) approaches 2.
C. g(x) has the largest possible y-value.
D. f(x) has the largest possible y-value.
SUBMIT
In the given function, the Statement B and C are correct.
According to the statement
We have to find that the y-values of the two functions.
So, For this purpose, we know that the
Function is an expression, rule, or law that defines a relationship between one variable and another variable
From the given information:
The given functions are:
f(x) = -5* +2 and g(x)=-5x² +2
In these functions, we see that the when we solve these functions
Then
The maximum y-value of f(x) approaches 2.
And when we solve the function g(x) then g(x) has the largest possible y-value.
Then the statements in the two functions are the Statement B and C correct.
So, In the given function, the Statement B and C are correct.
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Divide.
76 divded by 17
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
4.47 OR,. 4 whole 8/17
4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76
Step-by-step explanation:
[tex] \frac{76}{17} [/tex]
By dividing;
=4.47
I need help with these questions ! Please anyone ?
Answer:
Just plug-in the variable associated with the question.
Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6
4) w(x) = 3x - 1 --> replace the x with -8
6) k(n) = 3n² - 1 --> replace the n with 4
8) g(a) = -2a² + 5 --> replace the a with 9
For example, for number 8, the answer would be -157 if you plug in the value.
g(9) = -2(9)² + 5
= -2(81) +5
= -165 + 5
= -157
19
+
20
18 17
+ +
20
- 2010)
16
20
+
+
4
20
+
3
20
+
2
20
+
20
the length of the rectangle is 12 cm more than the width of the perimeter is 68cm find the length and width of this rectangle
The length and width of the rectangle is 23 and 11 cm.
Given, perimeter = 68 cm
A rectangle's perimeter P is determined by the equation P=2l+2w, where l is the rectangle's length and w is its width. In the formula A=lw, where l is the length and w is the width, the area A of a rectangle is determined.
let the width of the rectangle be x.
and length of the rectangle be 12 ₊ x
Formula of the perimeter = 2l ₊ 2w
68 = 2(12 ₊ x) ₊ 2x
68 = 2x ₊ 24 ₊ 2x
68 ₋ 24 = 4x
44 = 4x
x = 44/4
x = 11
Hence the width of the rectangle is 11 cm and length:
12 ₊ x
= 12 ₊ 11
= 23 cm
Hence we get the length and width of the rectangle as 23 and 11 cm.
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oml i need help with this
Answer:
[tex]2x^{4} - 3x^{2} + 7x[/tex]
Step-by-step explanation:
Simplify the polynomial expression. (1/2x +2)(1/2-2x)+(1/4x+7/2)
Simplifying the given polynomial expression is; -(1/4)x³ - (7/2)x² + (214/16)x + (7/2)
How to Simplify Polynomial Expressions?We want to simplify the polynomial expression;
((1/2)x + 2)((1/2) - 2x) + ((1/4)x + (7/2))
Let us expand the first bracket to get;
((1/2)x * (1/2) + (2 * (1/2)) - ((1/2)x * 2x) - (2 * 2x))
⇒ (1/4)x + 1 - x² - 4x
⇒ 1 + (15/4)x - x²
Thus, our expression is now;
(1 + (15/4)x - x²)((1/4)x + (7/2))
This can be multiplied out to give;
(1/4)x + (15/16)x - (1/4)x³ + (7/2) + (105/8)x - (7/2)x²
= -(1/4)x³ - (7/2)x² + (107/8)x + (15/16)x + (7/2)
= -(1/4)x³ - (7/2)x² + (214/16)x + (7/2)
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what is the diameter of a circle? use 3.14 for pi and enter your answer as decimal
The diameter of the circle whose circumference is 47.1cm comes out to be 15cm
Let us assume the diameter of circle whose circumference be x
The formula for circumference of the circle is 2 r
As we are already been provided with the circumference of the circle in the question as 47.1 cm
The radius of circle is half of the diameter of the circle
So, the radius of the circle is x/2
2 r = 47.1
We will use the value of as 3.14 as provided in the question
2 3.14 x/2 = 47.1
3.14x= 47.1
X=47.1/3.14
X= 15cm
So, the diameter of the circle whose circumference is 47.1cm comes out to be 15cm
The correct question is What is the diameter of a circle whose circumference is 47.1 cm? use 3.14 for pi and enter your answer as decimal
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how do i simplify (-9)
Answer:
(-9) Simplify is just 9
Step-by-step explanation:
Carol Heinrich has lateral filing cabinets that need to be placed along the wall of a storage closet. The filing are each 1 1/2 feet wide and the wall is. 6 feet long. Decide how many cabinets can be placed along the wall
The number of cabinets that can be placed along the wall is 15.
How to calculate the value?It should be noted that in this scenario, we simply have to calculate the perimeter.
This will be:
= 2(length + width)
= 2(1 1/2 + 6)
= 2(7 1/2)
= 15
Therefore, the number of cabinets that can be placed along the wall is 15.
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Answer if you know your right, bur dont answer just for the points
Answer:
c
Step-by-step explanation:
166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.
7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.
Answer:
C.
Step-by-step explanation:
7/3 = 2.3 > 1 2/3
Daniel read several pages of a book on Saturday. He only reads 12 pages on sunday which was 25% less than what she read on Saturday. How many pages did Daniel read on Saturday.
Solve for x
5x – 7 = 18
Answer:
x = 5
Step-by-step explanation:
5 x 5 = 25
25 - 7 = 18
Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times
What is the total number of points for those hits
The value of the given equation is 19 x 75 + 238 x 33 = 9279.
fundamental arithmetic operations:Addition, subtraction, multiplication, as well as division, are the four fundamental arithmetic operations. The division represents one of the most fundamental procedures in our daily work. A large group is divided into equal smaller groups. For instance, divide 25 by 5. The division fact, in this case, in this case, will be 25/5 = 5.
According to the given data:She hits the bullseye = 19 times.
she hits the 33 point circle 238 times.
Total number of points:
19 x 75 + 238 x 33 = 9279
19 x 75 = 1425
238 x 33 = 7854
So,
The value of the given equation is 19 x 75 + 238 x 33 = 9279.
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I understand that the question you are looking for is:
Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times. What is the total number of points for those hits Complete the equation to model the situation_. Enter the correct numbers in the boxes. _ x 75 + _ x 33 =
Work out (19-4)² ÷ (34 − 5²)
Answer:
25
______________________________________________________
[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
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The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
Here,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
We have to find the value of given expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
To solve, we get;
⇒ ( 19 - 4 )² ÷ (34 − 5²)
⇒ ( 15 )² ÷ (34 − 25)
⇒ 225 ÷ 9
By divide,
⇒ 25
Hence, The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
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how do you get the 40-4=36units, can you explain
here are the points on the graph that im finding slope to 3 , 135 and 5 ,225 and 7, 315
EDIT I FOUND THE ANSWER
The slope of the line having points (3,135), (5,225), and (7,315) is 45
Slope:
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
The formula of slope for a line(m)=[tex]\frac{y2-y1}{x2-x1}[/tex]
Given the points (3,135) , (5,225) and (7,315)
Consider any two points, Let's say (3,135) and (5,225).
Slope=[tex]\frac{225-135}{5-3}[/tex]
Slope=45
Therefore, The slope of the line having points (3,135), (5,225), and (7,315) is 45
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Which expression is equivalent to -6 -(-4)
Answer:
B, -6+4
Step-by-step explanation:
By using the distributive property on -(-4) you multiply the negative by -4, which makes it a positive, aka +4
- a negative x a negative = positive
- negative x positive = negative
- positive x positive = positive
Therefore, you get -6+4.
(Solving Linear equations)
I’m doing solving linear equations and I need help do I have to do it this way or can I flip the equation and the answer will be the same? 53=8x+5 .
The equation:[tex]53 = 8x + 5[/tex]
Get 5 to cross over the = sign so it meets its kind which is 53 and then changes to minus(-) due to the equality sign.
[tex]53 - 5 = 8x⟹ 48 = 8x[/tex]
Now divide both sides of the equation by 8 to find the value of x
[tex] \frac{48 }{8} = \frac{8x}{8} [/tex]
[tex]6 = x[/tex]
Therefore:
[tex]x = 6[/tex]
Evan is thinking of a number that contains the digit 2. The digit 2 in Evan's number has 10 times the value of the digit 2 in the number 328,907.
Which number could be the number that Evan is thinking of?
Answer:
Evan could be thinking of 200,000.
Step-by-step explanation:
The digit 2 in 328,907 has values 20,000 so in Evan's number it has the values 200,000.
a sculptor is making scale models of famous stone landmarks. If his model is to be 112 scale and the original landmark weighs 86 tons, solve the equation 12x=86 to determine how many tons his completed sculpture will be.
Based on the fact that the model has a scale of 1/12, solving the equation of 12x = 86 to determine the tons of the completed sculpture gives 7 tons.
How to find the tons that the completed sculpture weighs?The model is said to have a scale of 1/12 of the original stone landmark which means that if the original famous landmark weighs 86 tons, the tons of the model can be found by the formula:
12x = 86
When solving for x which is the tons of the completed sculpture, the weight would be:
12x = 86
x = 86 / 12
x = 7 tons
In conclusion, the completed sculpture would weigh 7 tons.
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what is the value of x?
Enter your answer in box.
Answer:
Step-by-step explanation:
white cops
Define overlapping.
Answer:
to extend over or past and cover a part of The roof shingles overlap each other. 2 : to have something in common with Baseball season overlaps the football season in September. 1 : to occupy the same area in part The two towns overlap.
Step-by-step explanation:
Hi, id like help with answering D I'm confused on it in general. and can (a, (b and (c be checked i feel like doing most of it is wrong. A response before 11:50 would be GREATLY appreciated. non-calc math with physics
Using it's concept, the average rate of change of the function on the interval [0,2] is of -1.5.
Before going into the average rate of change, the other items are correct.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For the interval [0,2], we have that:
f(0) = 3.f(2) = 0.Hence the rate is:
r = (0 - 3)/(2 - 0) = -1.5.
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An open rectangular box (no top) with volume 9 cubic meters has a square base. Express the surface area S of the box as a function of the length x of one of the sides.
In linear equation, S = x2 + 36/x the surface area S of the box as a function of the length x of one of the sides.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let x = length of the sides of the base, and h = the height. The volume is given as 9 m3
Volume = area of base * height
9 = x2*h
So 9/x2 = h
The surface area, S, of the box is:
S = (Area of Base) + 4*(Area of a Vertical Side)
S = x2 + 4 * (xh)
Substitute 5/x2 in place of h:
S = x2 + 4 * x * (9/x2)
S = x2 + 36/x
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