1 2) Simplify x^-6 * x^2
Answers
hello
to solve this question, we can simply use laws of indicies on it
\(a^m\times a^n=a^{m+n}\)so going by that, we can use this template to solve our problem
\(x^{-6}\times x^2=x^{-6+2}=x^{-4}=\frac{1}{x^4}\)from the calculation above, the answer to this question is 1 / x^4 and this corresponds to option D
Related Questions
if triangles have two corresponding angles and one corresponding side congruent but the side is not between the angles then the triangles are
right,scalene,congruent,obtuse,acute
Answers
Answer: congruent
Step-by-step explanation:
What is the measure, in degrees, of CAE in the diagram below?
Answers
Answer:
If I am right it is 98 as 52 plus 46 is 98
Step-by-step explanation:
If you could please check out our yoou tuube channel. Evimero Academy
thank you
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answers
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
To know more about critical value Visit:
https://brainly.com/question/32607910
#SPJ11
Christine purchased a prepaid phone card for $25 . Long distance calls cost 21 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $17.23 , how many minutes did her call last?
Answers
Answer : 37 minutes
Step-by-step explanation:
Subtract 25 and 17.23 then divide by 0.21
25-17.23=7.77 divide by 0.21 (21 divided by 100) =37
Find the function rule
X. Y
-2, -3
1, 3
3, 7
5, 11
Answers
Answer:
The function rule for this set of ordered pairs is y = 2x + 1.
This can be determined by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
The slope (m) can be calculated by using the formula:
m = (change in y) / (change in x)
For the ordered pair (1, 3) and (3, 7), we can see that change in x = 3 - 1 = 2 and change in y = 7 - 3 = 4, so m = 4/2 = 2.
Then, using any of the point we can find the b which is y-intercept. let's take the point (-2, -3) and substitute the values in the function y = 2x + b
-3 = 2(-2) + b
-3 = -4 + b
b = 1
So, the function rule is y = 2x + 1
(a) what is the population of interest? the 48 people that participated in the driving simulation drivers who are distracted by digital billboards all drivers in the u.s. inexperienced drivers in the u.s. people that drive along highways with digital billboards (b) what claim was tested? drivers are more likely to have an automobile accident when digital billboards are present. drivers are more distracted by digital billboards when the display changes. the time required to respond to road signs decreases when digital billboards are present. the time required to respond to road signs increases when digital billboards are present. drivers are less likely to have an automobile accident when digital billboards are present. (c) what additional information would help you decide if it is reasonable to generalize the conclusions of this study to the population of interest? (select all that apply.) the opinions of the researchers on digital billboards the names of the drivers if there was a control group that was not subjected to digital billboards if the drivers were randomly selected if the drivers were randomly assigned to experimental groups (d) assuming that the people who participated in the study are representative of the population of interest, do you think that the risk of an incorrect conclusion would have been lower, about the same, or higher if 100 people had participated instead of 48? lower about the same higher
Answers
(a) The population of interest is people that drive along highways with digital billboards.
(b) The claim tested is that the time required to respond to road signs increases when digital billboards are present.
(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes random assignment, the presence of a control group, and the researchers' opinions on digital billboards.
(d) Assuming the participants are representative, the risk of an incorrect conclusion would be lower with 100 participants instead of 48, as larger sample sizes generally lead to more accurate estimates.
(a) The population of interest in this study is people that drive along highways with digital billboards.
(b) The claim tested in this study is that the time required to respond to road signs increases when digital billboards are present.
(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes whether the drivers were randomly assigned to experimental groups, if there was a control group that was not subjected to digital billboards, and the opinions of the researchers on digital billboards. Random assignment and the presence of a control group help to establish causality, while the researchers' opinions can provide insight into potential biases.
(d) Assuming that the people who participated in the study are representative of the population of interest, the risk of an incorrect conclusion would be lower if 100 people had participated instead of 48. This is because larger sample sizes generally lead to more accurate estimates of population parameters and reduce the impact of random sampling variability.
Learn more about population of interest here
brainly.com/question/31061522
#SPJ4
The given question is incomplete, the complete question is:
The article "More Communities Banning 'Television on a Stick'"† describes an ongoing controversy over the distraction caused by digital billboards along highways. One study mentioned in the newspaper article is described in "Effects of Advertising Billboards During Simulated Driving."† In this study, 48 people made a 9 km drive in a driving simulator. Drivers were instructed to change lanes according to roadside lane change signs. Some of the lane changes occurred near digital billboards. What was displayed on the digital billboard changed once during the time that the billboard was visible by the driver to simulate the changing digital billboards that appear along highways. Data from this study supported the theory that the time required to respond to road signs was greater when digital billboards were present
(a) what is the population of interest? the 48 people that participated in the driving simulation drivers who are distracted by digital billboards all drivers in the u.s. inexperienced drivers in the u.s. people that drive along highways with digital billboards (b) what claim was tested? drivers are more likely to have an automobile accident when digital billboards are present. drivers are more distracted by digital billboards when the display changes. the time required to respond to road signs decreases when digital billboards are present. the time required to respond to road signs increases when digital billboards are present. drivers are less likely to have an automobile accident when digital billboards are present. (c) what additional information would help you decide if it is reasonable to generalize the conclusions of this study to the population of interest? (select all that apply.) the opinions of the researchers on digital billboards the names of the drivers if there was a control group that was not subjected to digital billboards if the drivers were randomly selected if the drivers were randomly assigned to experimental groups (d) assuming that the people who participated in the study are representative of the population of interest, do you think that the risk of an incorrect conclusion would have been lower, about the same, or higher if 100 people had participated instead of 48? lower about the same higher
Divide.
389.5÷104
Enter your answer as a decimal in the box.
Answers
Answer:
3.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2
Answers
y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1
The only function that fits that description is
y = 2x^2
Solve the inequality 5y2 – 17y < 40
Answers
Answer:
Y=5
Step-by-step explanation:
4. there are 10 balls in a bag, 4 red balls, 2 black balls, and 4 yellow balls. every time you can pick one ball without replacement. now you pick 2 times. (1) how likely you will have 2 black balls if you pick 2 times. (2) how likely you will have one red ball and one yellow ball if you pick 2 times. (3) how likely you will have at least one yellow balls
Answers
To calculate the probabilities, we'll use the concept of combinations. The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes.
Total number of balls = 10
Number of red balls = 4
Number of black balls = 2
Number of yellow balls = 4
(1) Probability of picking 2 black balls:
To calculate the probability of picking 2 black balls, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: There are 2 black balls, and we need to choose 2 black balls from them. This can be done in C(2, 2) = 1 way.
Total outcomes: We need to choose 2 balls from a total of 10 balls, which can be done in C(10, 2) = 45 ways.
Therefore, the probability of picking 2 black balls is 1/45.
(2) Probability of picking one red ball and one yellow ball:
To calculate the probability of picking one red ball and one yellow ball, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: There are 4 red balls and 4 yellow balls. We need to choose 1 red ball from the 4 red balls, which can be done in C(4, 1) = 4 ways. Similarly, we need to choose 1 yellow ball from the 4 yellow balls, which can be done in C(4, 1) = 4 ways. The total number of favorable outcomes is 4 * 4 = 16.
Total outcomes: We need to choose 2 balls from a total of 10 balls, which can be done in C(10, 2) = 45 ways.
Therefore, the probability of picking one red ball and one yellow ball is 16/45.
(3) Probability of having at least one yellow ball:
To calculate the probability of having at least one yellow ball, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes: There are 4 yellow balls, and we can choose either 1 yellow ball or 2 yellow balls. We need to consider both cases:
- Choosing 1 yellow ball: We have 4 yellow balls, and we need to choose 1 yellow ball from them, which can be done in C(4, 1) = 4 ways.
- Choosing 2 yellow balls: We have 4 yellow balls, and we need to choose 2 yellow balls from them, which can be done in C(4, 2) = 6 ways.
The total number of favorable outcomes is 4 + 6 = 10.
Total outcomes: We need to choose 2 balls from a total of 10 balls, which can be done in C(10, 2) = 45 ways.
Therefore, the probability of having at least one yellow ball is 10/45 or 2/9.
To learn more about probability refer below:
https://brainly.com/question/29351756
#SPJ11
Please help me, I’m timed rn , I’ll give brainliest and 70 points
Answers
Answer:
5
Step-by-step explanation:
trust me the answer is 5
Answer:
Hello answer: 5
Hope that helps.
elect all of the ordered pairs that make the inequality y > x2 + 3x – 4 true.
Answers
Answer: The question seems unclear on what answer is actually wanted however I'll try showing some steps which make the inequality true but in reversed manner.
y > x2 + 3x – 4
y+4 > x2 + 3x
y + 4 - 3x > x2
4 - 3x > x2 - y
- 3x > x2 - y - 4
x < (x2 - y - 4)/-3
The above ways are some inequalities which can show the inequality true
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
PLEASE HELP!!! I WILL GIVE BRIANLIST !!!
Answers
Answer:
A or the first one
Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative 4), point B is (negative 1, negative 2), point C is (1, 2), and point D is (2, 4). The rate of change between point A and point B is 2. What is the rate of change between point C and point D? –2 Negative one-half One-half 2 Mark this and return
Answers
Using it's concept, the rate of change between point C and point D is of 2.
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:
\(r = \frac{f(b) - f(a)}{b - a}\)
Considering the points of the given linear function, we have that:
Point C: f(1) = 2.Point D: f(2) = 4.Hence the rate of change between point C and point D is given by:
r = (4 - 2)/(2 - 1) = 2.
More can be learned about the average rate of change of a function at https://brainly.com/question/24313700
#SPJ1
Tell whether the ratios form a proportion.
8 : 4 and 12 : 8
The ratios _____ (do or do not) form a proportion. The cross products are _____ (state the cross product or state "not equal")
Response:
-----------------------------------
----------------------------------
Answers
The ratios do not form a proportion. The cross-products are not equal.
To find ratios 8 : 4 and 12 : 8 are proportional or not, we are using cross products.
First, we write an equation with the ratios given:
\(\frac{8}{4}\) = \(\frac{12}{8}\)
Next, we cross-multiply the equation to find the cross products:
8×8 = 12×4
Simplifying both sides we get:
64 ≠ 48
we get our cross products 64 and 48 which are not equal. Thus the ratios 8 : 4 and 12 : 8 are not in proportion.
Learn more about Ratios:
https://brainly.com/question/2328454
Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
Answers
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
\(h(t) = \frac{800}{30}t, 0 \leq t < 30\)
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
\(h(t) = 800, 30 \leq t < 35\)
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
\(h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55\)
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at https://brainly.com/question/13205719
which is not an equation of the line going through (6 7) and (2 -1)
Answers
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just did it
answer the question below or morgz will kidnap you
Answers
Answer:
Please no, not morgz
Step-by-step explanation:
Im begging you
Answer:
What's the question?
Step-by-step explanation:
Oh shi................
Welp Morgz is gonna kill us
Whoever answers to this post first will get brainliest!!!
Answers
Answer:
Hi
Step-by-step explanation:
the question is "13, 17, 21, 23, 29 one of the numbers is different from the rest, which one and why?"
step by step explanation
Answers
Answer:
21
Step-by-step explanation:
it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21
Use the distributive property to write an expression that is equivalent to 40x + 12.
Answers
Answer:
4(10x + 3)
Step-by-step explanation:
Since both 40 and 12 are divisible by 4, they can both be found when multipled by 4 and a different number
Answer:
2(20x + 6)
4(10x + 3)
Step-by-step explanation:
you select a marble without looking and then put it back if you do this 90 times what is the best predictions that you will pick an orange or a pink marble?
Answers
If you select a marble without looking and then put it back if you do this 90 times, the probability of selecting an orange or a pink marble on any given trial is 1/2 or 0.5.
If you select a marble without looking and then put it back, the probability of selecting any particular marble on any given trial is the same for all marbles. Assuming there are only two possible outcomes - selecting an orange marble or a pink marble - the probability of selecting an orange or a pink marble on any given trial is 1/2 or 0.5.
Since the probability of selecting an orange or a pink marble on each trial is the same, the best prediction for the number of times you will select an orange or a pink marble out of 90 trials is an equal number of times for each color. Therefore, the best prediction for the number of times you will select an orange or a pink marble is 45 times each.
This is only a prediction based on probability, and the actual number of times you select an orange or a pink marble may differ from the prediction due to chance. However, over a large number of trials, the actual outcomes should approach the predicted probabilities.
To learn more about predictions click on,
https://brainly.com/question/16801354
#SPJ1
A workbook is 56 pages long.If each chapter is 8 pages long, how many chapters are there?
Answers
Answer:
7
Step-by-step explanation:
Work book pages: 56
Each Chapter : 8
56/8=7
what is the solution set of these system5x-2y=17 and 4x-7=13?
Answers
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for x using the \(4x-7=13\) equation by isolating terms containing the variable:
\(4x-7=13\\4x=20\\\fbox{x=5}\)
Great! x is 5... let's find y.
Step 2:
Since we know the value of x, we can use what we know to find y using the other equation:
\(5x-2y=17\\\)
Given that x=5, we can replace x with 5.
\(5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}\)
I hope this helps! Let me know if you have any questions :)
How do you graph a quadratic form?
Answers
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
Learn more about quadratic function.
https://brainly.com/question/29775037
#SPJ4
Calculate the following: 0.1*6 \ 0.01*4
With step
Answers
Answer:
\( \frac{ {.1}^{6} }{ {.01}^{4} } = \frac{1}{ {10}^{6} } \div \frac{1}{ {100}^{4} } = \frac{ {100}^{4} }{ {10}^{6} } = \frac{ {( {10}^{2}) }^{4} }{ {10}^{6} } = \frac{ {10}^{8} }{ {10}^{6} } = {10}^{2} = 100\)
Una sustancia se encuentra en 15°c pero a partir de comienzo de un experimento su temperatura disminuye de manera uniforme a razón de 2°C por minuto. ¿Que temperatura alcanzo la sustancia 15 minutos después del comienzo?
¿Cuanto tiempo debe pasar par que alcance los 0°C?
Answers
Answer:
1= -15 °C
2= 7 minutos y medio
Step-by-step explanation:
1= colo la temperatura va bajando 2 grados cada minuto lo único que hay que hacer es restarle 30 °C a 15 y nos da -15 ° C
2= Solo divides 15 entre 2 y ya.
pythagorean theorem calc: find a, b=12, c=37
Answers
Answer:
a = 35
Step-by-step explanation:
\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)
Find the orthogonal complement S⊥.
S is the subspace of R5 consisting of all vectors whose third and fourth components are zero
Answers
The orthogonal complement S is the set of all vectors orthogonal to the subspace S in R5 whose third and fourth components are zero. To find S, we need to find vectors such that vu = 0 for all u in S using the dot product. The orthogonal complement S has dimension three and a basis for it is f1, f2, f3, where f1 = (1,-1,0,0,0) f2 = (0,0,1,0,0) f3 = (0,0,0,1,0).
Let's begin by defining the orthogonal complement S⊥, which is the set of all vectors orthogonal to the subspace S in question. The subspace S is defined as the set of all vectors in R5 whose third and fourth components are zero. Let's go through the steps to find S⊥.
Step 1: Determine the dimensions of S The dimension of the subspace S is two. This is because the subspace consists of vectors whose third and fourth components are zero. Therefore, only the first, second, fifth components are nonzero, making up a 3D subspace. Since S is a subspace of R5, the remaining two components can also take any value and thus the dimension of S is 2.
Step 2: Determine a basis for S To determine a basis for S, we can use the fact that the subspace is defined as all vectors whose third and fourth components are zero.
Therefore, a basis for S is given by {e1, e2}, where e1 = (1,0,0,0,0) and e2 = (0,1,0,0,0).
Step 3: Find the orthogonal complement S⊥ To find S⊥, we need to find all vectors orthogonal to S. This means we need to find vectors v such that v⋅u = 0 for all u in S. To do this, we can use the dot product: v⋅u = v1u1 + v2u2 + v3u3 + v4u4 + v5u5= v1u1 + v2u2 + v5u5We want this to be zero for all u in S. This implies:v1 + v2 = 0 andv5 = 0Therefore, S⊥ is given by the set of all vectors in R5 of the form (a,-a,b,c,0), where a, b, and c are arbitrary constants. The orthogonal complement S⊥ has dimension three, and a basis for it is {f1, f2, f3}, where:f1 = (1,-1,0,0,0)f2 = (0,0,1,0,0)f3 = (0,0,0,1,0)The above result gives us a complete characterization of S⊥.
To know more about orthogonal complement Visit:
https://brainly.com/question/32196772
#SPJ11
What’s the answer???
Answers
Answer:
Step-by-step explanation:
