Find y.
Round to the nearest tenth:
28°
х
350 ft
y
y = [? ]ft

Find Y.Round To The Nearest Tenth:28350 Ftyy = [? ]ft

Answers

Answer 1

Answer:

y = 658.3 ft

Step-by-step explanation:

Alternate angles are equal. Therefore,

Reference angle (θ) = 28°

Length of side Opposite to reference angle = 350 ft

Adjacent side = y

Apply TOA, which is:

Tan θ = Opp,/Adj

Substitute

Tan 28 = 350/y

y*tan 28 = 350

y = 350/tan 28

y = 658.3 ft (nearest tenth)


Related Questions

You put $600 in a savings account. The account earns 6% simple interest per year.

a. What is the interest earned after 10 years?
b. What is the balance after 10 years?

Answers

A I believe hope this helps

Find the explicit general solution to the following differential equation.

(8+x) dy/dx = 5y

The explicit general solution to the equation is y:_______

Answers

Answer:

y = (8+x)^5 + C

Step-by-step explanation:

Given the differential equation

(8+x) dy/dx = 5y

Using the variable separable method

(8+x) dy = 5ydx

dx/8+x = dy/5y

Integrate both sides

[tex]\int\limits^ {} \, \frac{dx}{8+x} = \int\limits^ {} \, \frac{dy}{5y} \\ln(8+x) = \frac{1}{5}lny\\5ln(8+x)= lny\\ln(8+x)^5 = lny\\ (8+x)^5 = y\\Swap\\y = (8+x)^5 + C[/tex]

This gives the required solution

The explicit general solution to the following differential equation[tex](8+x)\dfrac{dy}{dx} = 5y[/tex]  is [tex](8+x)^5 +C[/tex], where [tex]C[/tex] is a constant.

The relationship between the unknown function and its derivative is called the differential equation.

The differential equation in which variables are separated from each other is called the variable separable method.

Now, separate the variables using the variable separable method:

[tex](8+x){dy} = 5y \ dx[/tex]

[tex]\dfrac{dx}{8x} = \dfrac{dy}{5y}[/tex]

Integrating both sides,

[tex]\int \dfrac{dx}{x+8} = \int \dfrac{dy}{5y}\\log(x+8) = \dfrac{1}{5} log y\\ 5 log(x+8) = log y\\log(x+8)^{5} = log y \ \ \\y = ( x+8)^{5} +C[/tex]

Thus, the explicit general solution to the equation is [tex](8+x)^5 +C[/tex].

Learn more about differential equations here:

https://brainly.com/question/33814182

#SPJ6

Kaleigh wants to buy a car that costs $17360. She deposits $14,000 in a savings account that earns 8% simple interest. How long was Kaylee leave the money in the savings account to be able to buy the car?

Answers

Answer:

Kaylee must leave the money in the savings account for 3 years.

Step-by-step explanation:

Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:

14,000 + (14,000 x 0.08 x X) = 17360

1,120X = 17,360 - 14,000

X = 3,360 / 1,120

X = 3

Therefore, Kaylee must leave the money in the savings account for 3 years.

Differentiate the function. y = (3x - 1)^5(4-x^4)^5​

Answers

Answer:

[tex]\displaystyle y' = -5(3x-1)^4(4 - x^4)^4(15x^4 - 4x^3 - 12)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (3x - 1)⁵(4 - x⁴)⁵

Step 2: Differentiate

Product Rule:                                                                                                    [tex]\displaystyle y' = \frac{d}{dx}[(3x - 1)^5](4 - x^4)^5 + (3x - 1)^5\frac{d}{dx}[(4 - x^4)^5][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' =[5(3x - 1)^{5-1} \cdot \frac{d}{dx}[3x - 1]](4 - x^4)^5 + (3x - 1)^5[5(4 - x^4)^{5-1} \cdot \frac{d}{dx}[(4 - x^4)]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' =[5(3x - 1)^4 \cdot \frac{d}{dx}[3x - 1]](4 - x^4)^5 + (3x - 1)^5[5(4 - x^4)^4 \cdot \frac{d}{dx}[(4 - x^4)]][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' =[5(3x - 1)^4 \cdot 3x^{1 - 1}](4 - x^4)^5 + (3x - 1)^5[5(4 - x^4)^4 \cdot -4x^{4-1}][/tex]Simplify:                                                                                                             [tex]\displaystyle y' =[5(3x - 1)^4 \cdot 3](4 - x^4)^5 + (3x - 1)^5[5(4 - x^4)^4 \cdot -4x^3][/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 15(3x - 1)^4(4 - x^4)^5 - 20x^3(3x - 1)^5(4 - x^4)^4[/tex]Factor:                                                                                                               [tex]\displaystyle y' = 5(3x-1)^4(4 - x^4)^4\bigg[ 3(4 - x^4) - 4x^3(3x - 1) \bigg][/tex][Distributive Property] Distribute 3:                                                                 [tex]\displaystyle y' = 5(3x-1)^4(4 - x^4)^4\bigg[ 12 - 3x^4 - 4x^3(3x - 1) \bigg][/tex][Distributive Property] Distribute -4x³:                                                            [tex]\displaystyle y' = 5(3x-1)^4(4 - x^4)^4\bigg[ 12 - 3x^4 - 12x^4 + 4x^3 \bigg][/tex][Brackets] Combine like terms:                                                                       [tex]\displaystyle y' = 5(3x-1)^4(4 - x^4)^4(-15x^4 + 4x^3 + 12)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = -5(3x-1)^4(4 - x^4)^4(15x^4 - 4x^3 - 12)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Please help me I am confused and i will give you anything you want just help me. SOS

Answers

Answer:

hope it helps you..........

Can someone tell me if its A,B, or C? Thanks besties.

Answers

Answer:

... ..... C is the answer

A small town experienced explosive population increase. Originally the town had population 170. Within 3 years, the town's population increased by 400%. What's the town's current population

Answers

Answer:

850

Step-by-step explanation:

Given that :

Initial population = 170

Percentage rise in population within 3 years = 400%

Hence, the current population of the town will be ;

Current population = Initial population * (1 + rate)

Current population = 170(1 + 400%)

Current population = 170(1 + 4)

Current population = 170(5)

Current population = 850

Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct

Answers

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis

50 + x + 10 + 8x + 2x =650​
what is the value of x?

Answers

Answer:

x = 590/11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

50 + x + 10 + 8x + 2x = 650

Step 2: Solve for x

[Addition] Combine like terms:                                                                        11x + 60 = 650[Subtraction Property of Equality] Subtract 60 on both sides:                      11x = 590[Division Property of Equality] Divide both sides by 11:                                  x = 590/11

Answer:

x= 590/11

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

please help meeeee!!​

Answers

Step-by-step explanation:

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

What value of y makes the sentence true?
y + 3 = 30
Type your answer in the box below.
I
y =

Answers

y = 27
Subtract 3 from both sides to get y by itself.

Hey there!

y + 3 = 30

SUBTRACT 3 to BOTH SIDES

y + 3 - 3 = 30 - 3

CANCEL out: 3 - 3 because that gives you 0

KEEP: 30 - 3 because that gives you the value of y

y = 30 - 3

30 - 3 = y

y = 27

Answer: y = 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

I need a math genius please

!!WILL MARK BRAINLIEST!! PLEASE SOMEONE HELP!! IM TRYING TO PREPARE FOR MATH CAMP AND THEY GAVE US THIS PROBLEM AND I CANT FIND ANYTHING LIKE IT!!

Answers

Answer:

How long is the [shirt] in the air? 3 seconds

How many seconds after launching is the t-shirt at 17 feet? 0.25 seconds

Step-by-step explanation:

Formula to represent the shirt's flight path (given): [tex]h=-16t^2+vt+c[/tex], where [tex]h[/tex] is the height of the shirt, [tex]v[/tex] is the initial velocity of the shirt, [tex]c[/tex] is the shirt's starting height, and [tex]t[/tex] is elapsed time since launch.

The function forms a parabola concave down. Since the shirt is caught at 17 feet, we want to second x-coordinate of a point with a y-coordinate of 17 that the function passes through. This is because the shirt was caught going down, not up.

Therefore, let [tex]h=17[/tex]:

[tex]17=-16t^2+52t+5,\\\\-16t^2+52t-12=0,\\\\ y= \frac{-52\pm\sqrt{52^2-4(-16)(-12)}}{2(-16)},\\\\y=\frac{1}{4},\boxed{y=3}[/tex].

The second x-coordinate is the larger of the two and therefore the shirt was in the air for 3 seconds.

However, the first time the shirt reaches a height of 17 feet is on its way up, which occurs at 1/4 or 0.25 seconds (the first x-coordinate). Therefore, the t-shirt reached a height of 17 feet 0.25 seconds after launching.

Two angles are complementary. One angle measures 60 degrees. What is the measure of the other angle?
I'm not sure if its A.

Answers

Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

The perimeter of a rectangle is 12cm the area is 5cm square what is the length of the sides?

Answers

Answer:

l=5, w=1

Step-by-step explanation:

5*1=5 for area

5+1+5+1=12 for perimeter

3.42x16.5 show your work plz

Answers

Answer:

= 56.43

Step-by-step explanation:

= 3.42 × 16.5

multiply the numbers

= 56.43

3.42 • 16.5 = 56.43
Explanation:
There’s an imaga attached showing the steps through ling multiplication. My handwriting is bad and these steps came from the web. Either way it is still correct.
Hope this absolutely helps!

A professor has been teaching introductory statistics for many years and the final exam performance has been very consistent from class to class and the scores have been normally distributed. Overall, the whole data base (i.e. population) of final scores has a mean (μ) of 24 points (out of a maximum of 30 points) and a standard deviation (Ï) of 5 points. The professor would like to revise the course design to see if student performance on the final could be improved.

The new course design was implemented in the most recent academic year. There were 100 students and the average final exam score was 24.7. The professor would like to run a hypothesis test to see if this sample of students in the recent academic year performed significantly better than the past population. In other words, the hypothesis was a comparison between the population taking the course with the new design (represented by the sample of 100 students) with the population taking the course with the old design. The professor is predicting an increase of final score with the new design, so the hypotheses should be directional, and the test should be one-tailed. The significance level is set at α = .1.

Required:
a. Identify the dependent variable for this study.
b. State the null hypothesis and alternative hypothesis using both words and symbol notation

Answers

Answer:

a) Independent variable - Design of the course

Dependent variable - Final score of the students

b)  H0 - Final score >24.7

Alternate hypothesis - Final score is less than or equal to 24.7

Step-by-step explanation:

a) Independent variable - Design of the course

Dependent variable - Final score of the students

b) Null Hypothesis : Performance of student taking course with the new design is better as compared to the population of student taking the course with the old design.

H0 - Final score >24.7

Alternate hypothesis - Final score is less than or equal to 24.7

Alec bakes spherical rolls of bread. Each roll is about 8cm
wide. What is the approximate volume of each roll? Use
3.14 to approximate a.

Answers

Answer:

Step-by-step explanation:

2143.57

Solve the following system of equations and show all work. y = 2x2-3 y = 7x + 1 (10 points)​

Answers

Answer:

x = -1/2 , y = -5/2

x = 4, y = 29

Step-by-step explanation:

y = 2x² - 3

y = 7x + 1

------------------

set equal

2x² - 3 = 7x + 1

Subtract 7x + 1 from both sides

2x² - 7x - 4 = 0

Factor

(2x + 1)(x - 4) = 0

x = {-1/2, 4}

For x = -1/2

y = 7(-1/2) + 1

y = -5/2

(-1/2 , -5/2)

For x = 4

y = 7(4) + 1

y = 29

(4, 29)

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°

Answers

X + Y < 90

X + Y + Z = 180
Z > X + Y so Z > 90

Answer:

M < X + M < Y  < 90

Step-by-step explanation:

PLEASE HELP ASAP!!! What is the range of the function shown on the graph?
(The graph is below)

Answers

Answer:

-6 < y < ∞

Step-by-step explanation:

The range is the values that y can take

y goes from  almost -6 to infinity ( there is an asymptote at -6)

-6 < y < ∞

what type of data states that every value in the set is a number​

Answers

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Step-by-step explanation:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

HELP ASAP I WILL GIVE BRAINLIST

A = {1, 3, 4, 5, 7, 9}
B = {1, 2, 4, 6, 8, 10}

List the outcomes of A ∪ B? What does this represent?

List the outcomes of A ∪ B? What does this represent?

Answers

Answer:

A U B={1,2,3,4,5,6,7,8,9,10} represents A union B

(includes all the members of set Sand the members of set Bout together, do not repeat anyone that comes twice)

A n B={1,4} represents A interception B( this refers to the members that sets A and B have in common)

Answer:

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

Step-by-step explanation:

A = { 1 , 3 , 4 , 5 , 7 , 9 }

B = { 1 , 2 , 4 , 6 , 8 , 10 }

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

           It represents the whole numbers between 0 and 11

          [ A ∪ B is the elements of both A and B , without any repetition ]    

A ∩ B = { 1 , 4 }

            It represents the common numbers in both A and B

Q. A board that measures feet long is cut into 6 equal pieces. What is the length of each piece?
A. 1} inches
B. 3 inches
C. 3 inches
D. 9 inches

Answers

QUESTION :- . A board that measures feet long is cut into 6 equal pieces. What is the length of each piece?

A. 1 inches

B. 3 inches

C. 2 inches

D. 9 inches

ANSWER:- 1 FEET -->12 INCH

ATQ ->

1 FEET IS divided into 6 parts so

1 feet = 12 inches

[tex] \frac{1}{6} feet = \frac{12}{6} inches \\ \frac{1}{6} feet = 2 inches [/tex]

so each part will be equal to 2 inches

1 ft = 12 in

12 inch can be devided into 6 equal parts resulting in 2 inches each.

I guess you mistyped either B or C..

hope it helps

kind regards

Alex

brainliest answer po yung tama
nk tym for nega NEED HELP PK TALAG​

Answers

A

A

B

C

A

D

B

C

May choices po yan saamen

Step-by-step explanation:

Love you

Consider the given statements below.
• A central angle in a circle measures 70°.
An inscribed angle in the same circle also measures 70°.
Which statement best describes the relationship between the arcs
intersected by these angles?
.
1 of 4 QUESTIONS
The inscribed angle intersects an arc that is twice the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 70°,
and the central angle's arc measures 35º.
The inscribed angle intersects an arc that is half the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 35º,
and the central angle's arc measures 70°.
The inscribed angle intersects an arc that is half the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 70°
and the central angle's arc measures 140°.
The inscribed angle intersects an arc that is twice the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 140°,
and the central angle's arc measures 70°.

Answers

Answer:

1-90

2-80

3-033

Step-by-step explanation:

PLEASE HELP ASAP
Add the complex numbers: (4 + 8i) + (–2 – i)

Answers

Answer:

2 + 7i

Step-by-step explanation:

(4 + 8i) + (-2 - i)

open the brackets

4 + 8i - 2 - i

add or subtract like terms

2 + 7i

Answer:

2+7i

Step-by-step explanation:

Open the brackets.

4+8i-2-i

You will get…

2+7i

What is the system of equations represented by the tables?
O A. y=2x-1
y = -x + 3
B. y = x + 2
y = x-1
O c. y=-3x-1
y = 3x + 2
O D. y = 2x-3
y = -x + 2

Answers

Answer:

C.

y = -3x - 1

y = 3x + 2

Step-by-step explanation:

Find the slope (m) and y-intercept (b) of each table to write an equation for each.

✔️First table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, -1) and (1, -4),

Slope (m) = (-4 - (-1))/(1 - 0) = -3/1

m = -3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = -1 when x = 0. Therefore,

y-intercept (b) = -1

To write an equation for table 1, substitute m = -3 and b = -1 into y = mx + b

Equation for table 1:

y = -3x - 1

✔️ Second table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, 2) and (1, 5),

Slope (m) = (5 - 2)/(1 - 0) = 3/1

m = 3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = 2 when x = 0. Therefore,

y-intercept (b) = 2

To write an equation for table 1, substitute m = 3 and b = 2 into y = mx + b

Equation for table 1:

y = 3x + 2

If a franchise company wanted to determine why sales were higher at some locations rather than others, what statistical process would be most appropriate? Group of answer choices Regression with sales as an independent variable Regression with sales as the dependent variable Use a confidence interval with the posted speed as the mean Hypothesis testing with a null hypothesis that the sales are less than or equal to the highest sales Hypothesis testing with a null hypothesis that the sales are more than the highest sales

Answers

Answer: Regression with sales as the dependent variable

Step-by-step explanation:

Since the franchise company wanted to determine why sales were higher at some locations rather than others, the statistical process that would be most appropriate is regression with sales as the dependent variable.

Regression will be used in determining the strength of the relationship that exist between one dependent variable and the independent variables. In this case, the dependent variable is sales.

Find the value for the side marked below.
Round your answer to the nearest tenth.
50°
122
y
y = [?
Enter

Answers

Answer:

y = 189.8

Step-by-step explanation:

Apply trigonometric function to find y.

Reference angle (θ) = 50°

Adjacent side = 122

Hypotenuse = y

Apply CAH, since the Hypotenuse and the Adjacent are involved.

Thus:

Cos θ = Adj/Hypo

Plug in the values

Cos 50° = 122/y

y*Cos 50° = 122

y = 122/cos 50°

y = 189.8 (beater tenth)

Suppose that each student at a university has one of 4 expected graduation years and one of 21 majors. How many students must be enrolled to guarantee 2 graduations in the same year and major?

Answers

Answer:

The correct answer is "168 students".

Step-by-step explanation:

According to the question,

Graduation probability,

[tex]P_g=\frac{1}{4}[/tex]

Major probability,

[tex]P_m=\frac{1}{21}[/tex]

Now,

The probability of having both graduation as well as major will be:

= [tex]\frac{1}{4}\times \frac{1}{21}[/tex]

= [tex]\frac{1}{84}[/tex]

hence,

The number of students having guarantee two graduations throughout the same year and major will be:

⇒ [tex]\frac{x}{84}=2[/tex]

By applying cross-multiplication, we get

⇒ [tex]x = 84\times 2[/tex]

⇒    [tex]=168[/tex]

Other Questions
Please answer i will give brainliest Select the choice that follows the correct sequence of steps in solving this inequality. -1/2y - 1 < or equal to 3 The concept of overall _____ includes a person's emotions, social skills, and mental state as well as his physical well being. For this question I am sure the answer is 81% as you divide 45 and 55. However, it is stating my answer is incorrect even though I put 0.81% as well. Did I round wrong or is the answer wrong completely? Salado Inc. provides cleaning services through its Residential and Commercial divisions. Support services of the company are provided by Personnel and Administration areas. Costs of these two areas are allocated to the revenue producing departments. Personnel costs are allocated using number of employees; administration costs are allocated using direct department costs. The following 2013 budgeted information (presented in a benefits-provided ranking) is available: Personnel Administration Residential Commericial Direct costs $140,000 $180,000 $480,000 $800,000Number of employees 12 30 72 48Direct labor hours 60,000 90,000Square feet deaned 450,000 570,000Required:a. Using the direct method, allocate the costs of Personnel and Administration to the Residential and Commercial divisions.b. Using the step method, allocate the costs of Personnel and Administration to the Residential and Commercial divisions.c. Salado prices jobs by the direct labor hour for Residential services and by the square foot cleaned for Commercial services. Compute the full cost of providing one direct labor hour of service for Residential and for one square foot cleaned for Commercial using (1) the direct method and (2) the step method. (Round cost per hour and cost per square foot to nearest cent.) A college admissions officer takes a simple random sample of 90 entering freshman and computes their mean mathematics sat score to be 436. assume the population standard deviation is = 101. Based on a 99% confidence interval for the mean mathematics SAT score, is it likely that the mean mathematics SAT score for entering freshmen class is greater than 460? Balu blalla thoge achchita hal garranna Which value of x would satisfy the following equation 24x - 18 - 8x - 30 = 96? How would The Outsiders be different if the author had used third-person omniscient point of view? If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,what is the value of n for which X, + Xp = 55? Identify which of the following statements about the isotopes of an element is correct.A. They have the same electron configuration.B. They have the same mass number.C. They have the same numbers of protons and neutrons in the nucleus.D. They have more protons than neutrons. There are 38 Legs in a group of goat and hens. How many goats and hens are there?1) 13 Goats , 3 hens2) 11 goats ,3hens3) 7 goats,3 hens4) 8 goats,3 hens Select all the correct images.Select the atoms that belong to the same element.16 protons 16 neutrons16 electrons11 protons 10 neutrons 11 electron13 protons 14 neutrons 13 electrons ANSWER IS CWhich number line represents the solution to 2.5 1.2x < 6.5 3.2x?1.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.2.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.3.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.4.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right. Dr. Kang, a cognitive psychologist, conducts an experiment examining the effect of emotion on memory. He provides lists of 15 words to two groups of participants at his university. He puts the names of all the participants in a hat. The first 20 names he assigns to Group A and the last 20 he assigns to Group B. Group A is given a list of words that are very emotional in content (e.g., passion, murder). Group B is given a list of words that are neutral in content (e.g., houseplant, desk). He then measures how many words each group is able to remember after being distracted for 5 minutes by watching a video about the history of the university. He finds that Group A remembers 15% more words than Group B. Use the scenario to answer the following questions (A though C).A. What is the dependent variable? [1 pt]B. What is the independent variable? [1 pt]C. Can Dr. Kang make a causal claim that "emotion enhances memory"? Why or why not? answer choices:a. 122b. 102c. 138d. 85 Reaccin qumica de Ni+3 H-1 What is the answer can you explain it to me Republican losses at Oklahomas constitutional convention were felt during the first statewide elections, when __________ were elected to every statewide office.A.DemocratsB.independentsC.SocialistsD.soonershelp please A 50 kg go cart is located at the top of a 10 m tall hill.sitting motionless. It goes down the hill and rises to the top of the second hill while have a speed of 1 m/s. How tall is the second hill?