Answer:
incorrect
Step-by-step explanation:
We are multiplying exponents
Since the bases are the same, add the exponents
a^2 * a^-6 * a^6
a^ ( 2+-6 +6)
a^ (2)
This does not equal a^5
Answer:
no
Step-by-step explanation:
An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)
Answer:
not quite sure what this is asking for but the average speed is 7800/11
Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Answer: The polynomial has 3 terms and a degree of 10.
Step-by-step explanation:
The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]
Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.
Combine like terms , we get
[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.
Degree of [tex]6st^9[/tex] is 1+9=10;
Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;
Degree of [tex]- 6t^7[/tex] is 7.
Since degree of the polynomial = highest degree i.e. 10
Hence, the polynomial has 3 terms and a degree of 10.
The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.
Discussion:
By counting the number of terms in the polynomial;
We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.Additionally, the degree of the polynomial is 10.
This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.
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If f(x)=5x-12, find a value for $x$ so that f^{-1}(x)=f(x+1).
Answer:
[tex]\boxed{\sf \ \ \ x=\dfrac{47}{24} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
f(x)=5x-12
we need to find x so that
[tex]f^{-1}(x)=f(x+1)[/tex]
so first of all we can write
[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=5f^{-1}(x)-12\\\\<=>5f^{-1}(x)=x+12\\\\<=>f^{-1}(x)=\dfrac{x+12}{5}[/tex]
and f(x+1) = 5(x+1) - 12 = 5x + 5 -12 = 5x - 7
then solving
[tex]f^{-1}(x)=f(x+1)[/tex]
is equivalent to
[tex]\dfrac{x+12}{5}=5x-7 \ multiply \ by \ 5 \\\\<=> x+12 = 5(5x-7)=25x-35\\<=> 25x-x=12+35\\\\<=>24x=47\\\\<=>x=\dfrac{47}{24}[/tex]
Hope this helps
Answer:
Step-by-step explanation:
let f(x)=y
y=5x-12
flip x and y
x=5y-12
5y=x+12
[tex]y=\frac{x+12}{5} \\or \\f^{-1}(x)=\frac{x+12}{5} \\f(x+1)=5(x+1)-12=5x-7\\\frac{x+12}{5} =5x-7\\x+12=25x-35\\25~x-x=12+35\\24 x=47\\x=\frac{47}{24}[/tex]
Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit formula can be used to model the same sequence?
Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
Pls help with this question thank u all
Answer:
4 cm (A)
Step-by-step explanation:
triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.
sorry if what i wrote is a little confusing
4-2b>(6-b) whats the answer this is algebra 1 solving inequalities with variables
Answer:
b<-2
Step-by-step explanation:
4-2b > (6-b)
4-2b > 6-b
-4 +b -4 +b
-b > 2
/-1 /-1
b < -2
Answer:
b<−2
Step-by-step explanation:
Brooke solved the equation below: 6r = 72 6r − 6 = 72 − 6 r = 66 Is Brooke’s solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Answer:
see below
Step-by-step explanation:
6r = 72
We need to divide each side by 6, not subtract 6 from each side
6r/6 = 72/6
r = 12
Answer:
Brooke's solution is incorrect
Divide both sides by 6
r=12
Step-by-step explanation:
The equation is:
6r=72
Brooke solved the equation like so:
6r-6=72-6
r=66
Brooke's solution is incorrect. She subtracted 6 from both sides of the equation.
Here is how the equation should be solved:
6r=72
We want to solve for r, so we have to get r by itself. 6 and r are being multiplied (6*r=6r). The inverse of multiplication is division, so we must divide both sides by 6 (not subtract 6 from both sides).
6r/6=72/6
r=72/6
r=12
Brooke's solution is incorrect. She subtracted 6 instead of dividing by 6. The correct solution is r=12.
What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth. Negative 5 x minus 12 y = negative 8. 5 x + 2 y = 48.
Answer:
5x+2y=48 or 5x-12y=-8
The value of x is 5 and y is 4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The Equations are:
5x - 12y= -8...................(1)
and, 5 x + 2 y = 48 ..................(2)
Solving the Equation (1) and (2) we get
-12y -2y = -8 - 48
-14y = -56
y= -56 /(-14)
y = 4
and, 5x +2y= 48
5x + 8 = 48
5x= 40
x= 5
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Determine the constant of proportionality in the situation below. Six bags of sunflower seeds cost $7.20
Answer:
1.20 for each bag of sunflower seeds
Step-by-step explanation:
Answer: $1.20 per bag
Step-by-step explanation:
[tex]\dfrac{\$7.20}{6\ bags}\div \dfrac{6}{6}\quad = \quad \dfrac{\$1.20}{1\ bag}[/tex]
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
What are functions?Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:
P(x) = −0.74x² + 22x + 75
−0.74x² + 22x + 75 ≥ 175
−0.74x² + 22x − 100 ≥ 0
0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)
Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:
0.74x² − 22x + 100 = 0
Solving this equation, we get x = 5.6 and x = 24.13.
So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.
Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
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Solve:
3x - 9 = 5(x-3)
Hi,
[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]
Have a good day.
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
what is the slope line through (0, 5) and (-2, -1)
Answer:
3 or 3/1
Step-by-step explanation:
Slope is also known as rise/run.
The formula used to find slope is y^2-y^1/x^2-x^1.
The work is below:
-1-5/0-2
-6/-2
3/1
m=3
When we calculate the slope using the formula, we find that the slope(m) equals to 3/1 or 3 which means that you rise up by 3 and run to the right 1.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same). A measure of steepness is a slope. When building roads, one must determine how steep the road will be. These are some examples of slopes in real life.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the line is passed through the following points,
(x₁,y₁)=(0, 5)
(x₂,y₂)=(-2, -1)
The slope of the line is found as,
m=(y₂-y₁) / (x₂-x₁)
Substitute the given values,
m=-(1-5)/(0-2)
m=(-6)/(-2)
m=3/1
The slope(m) equals 3/1, or 3 when we compute the slope using the formula, meaning that you rise up by 3 and move to the right by 1.
Thus, the slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.
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Which sign makes this number sentence true? |-101| __ -85 A. > B. < C. = D. x
Answer:
|-101| > -85
Step-by-step explanation:
|-101| __ -85
The absolute value is taking the positive value
101 __ -85
101 is greater than -85
|-101| > -85
Answer:
>
Step-by-step explanation:
A student wants to know whether the teachers in the entire school prefer watching television or playing outdoor games after school. The student draws a random sample from the following groups: all school teachers, all students on the football team, all boys in each grade, all students in each grade. Which of the following groups best represents the population from which the student should take a random sample to get the best results for her survey?
Answer:
Step-by-step explanation:
All School teachers
Answer:
All school teachers
Step-by-step explanation:
The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.
QUESTION 8
Simplify the expression
(5-4 (25)2
expressing the answer as a power of 5
Please help me answer my questions...
Answer:
80$
Step-by-step explanation:
total amount of needed=200
Total =Tef +Angelina+Jason
200=90+30+Angelina
Angelina=200-120
Angelina=80$
Estimate to the nearest hundredth: √48 A. 6.93 B. 7.12 C. 24.00 D. 6.55
Answer:
The answer is option A.
√48 = 6.93 to the nearest hundredth
Hope this helps you
Answer:
A
Step-by-step explanation:
FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.
Answer:
1/4
Step-by-step explanation:
Given:
Colors
Yellow 1
Red 1
Blue 2
Total 4
Required:
Times that the spinner landed on red=?
Formula:
Probability=Successful outcome ÷ Possible outcome.
Solution:
Probability=Successful outcome ÷ Possible outcome
Probability=1÷4
Probability=1/4
Hope this helps ;) ❤❤❤
Answer:
about 125 times
Step-by-step explanation:
HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation
portion of square empty = 256 - 153.86 = 102.14cm^2
I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.
Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
The three positive numbers will be 5, 5 and 14.
Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.In this case, we've been given 2 of the numbers to be 5.
Then, the last number will be:
x - 5 = 9
x = 9 + 5
x = 14
Therefore, the three positive numbers are 5, 5 and 14.
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Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
What is the surface area of the rectangular pyramid below? 13,13,13
Answer:
1,014
Step-by-step explanation:
Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be
13x13x6 (6 sides)
=1014
Answer:
507
Step-by-step explanation:
apeex
Please help will mark brainliest
the bearing from Canada to Atlanta is 040 degrees. Calculate the bearing from Atlanta to Canada
Answer:
The bearing from Atlanta to Canada is 220 degrees
Step-by-step explanation:
Given
Represent Canada with C and Atlanta with A
Bearing from C to A = 040
Required
Determine the bearing from A to C
This concept is referred to as Back Bearing and it's calculated as follows.
Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;
Hence,
[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]
Substitute 040 for C to A
[tex]A\ to\ C\ =\ 180\ + 040[/tex]
[tex]A\ to\ C\ =\ 220[/tex]
Hence, the bearing from Atlanta to Canada is 220 degrees
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answer:
Step-by-step explanation:
Refer the answer of https://brainly.com/question/17115212
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
:
help asap! <3 The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Answer:
histogram D
Step-by-step explanation:
From left to right, your frequencies (aka height of columns) should be 4, 8, 9, 8, and 3
Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
The equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
What is De Morgan's Law?The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.
Given is the following statement - It is not the case that a gun and a nose are both weapons.
Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -
A = gun
B = nose
~(p ∧ q) = Not(A ∧ B)
So, we can write it as -
~(p ∧ q) = Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.
where -
A gun is not a weapon → ~p
or → ∨
a nose is not a weapon → ~q
Therefore, the equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
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TIMED!!! Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
Step-by-step explanation:
why is the site not working i am clicking see answers and nothing pops up is this only happening to me?
Answer:same here
Step-by-step explanation:
Please help with the questions on the picture, it's very urgent......Thank you✨
Answer:
2. sinθ= cos 35°
sinθ= sin(90°-35)
θ= 55°
3. cos4θ= sin5θ
cos 4θ= cos (90-5θ)
4θ=90°-5θ
collect like terms
4θ+5θ=90°
9θ=90° (divide both sides by 9)
therefore θ=10°