10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answers

Answer 1

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:


Related Questions

7/4y=-(2x-7) slope intercept form

Answers

Answer:

y = -8/7x +4

Step-by-step explanation:

7/4y=-(2x-7)

Distribute the minus sign

7/4y=-2x+7

Multiply each side by 4/7

4/7*7/4y=4/7*-2x+7*4/7

y = -8/7x +4

Answer:

y = -8/7x + 4

Step-by-step explanation:

1) First remove the parentheses

7/4 y = -2x + 7

2) Then multiply by 4 to get rid of the denominator

7y = -8x +28

3) Now divide by 7 on both sides, this way you'll isolate the y variable on the left side

y = -8/7x +4

ask me questions if u have any

What’s the answer ??????

Answers

Answer:

The best estimate is 100 per month

Step-by-step explanation:

Take 618 and divide by 6 to get the exact amount

We want an estimate

Round 618 to 600

600/6 = 100

Answer:

A

Step-by-step explanation:

It is $100

What is the probability of getting three tales

Answers

Answer:

12.5%

Step-by-step explanation:

Answer:

[tex]\frac{1}{8}[/tex].

Step-by-step explanation:

To solve this, we will first need to think about the probability of getting "tails". A coin has two sides, meaning landing on "tails" would result in a probability of [tex]\frac{1}{2}[/tex] per toss.

In the question, a total of 3 tosses is given. This means we will need to multiply the probability 3 times:

[tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex] .

In the function y = 5x, what is the value of x?

Answers

The value of x in the given question is: x = y/5

How to change the subject of the formula?

We are given that the function for getting y is:

y = 5x

Now, to make x the subject of the formula, we will use division property of equality to divide both sides by 5 to get:

y/5 = 5x/5

x = y/5

Thus, the value of x in the given question is:

x = y/5

This is a really easy question Just need to make sure it is right. Is it B

Answers

Yea .........., the answer is B.
Your right the answers b

Using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by

Answers

Answer:subtracting 8 from both sides

Step-by-step explanation:

Answer:

The answer is C, subtracting 8 from both sides

Step-by-step explanation:

The second answer is A, -8

assuming youre on edg

A point is chosen at random in the larger circle. What percent of the time will the point be in the shaded region? Round to the nearest tenth of a percent. Please help me!!

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image for the step by step explanation of the answer to the question

A box contains some shapes, out of which 3 are triangles, 5 are squares and 2 circles. If a shape is selected randomly from the box, what is the probability of selecting a triangle or circle? Question 10 options: a) 1/2 b) 1/4 c) 7/10 d) 4/5

Answers

Answer:

a) 1/2

Step-by-step explanation:

All we have to do is simply find the probability of selecting a triangle, find the  probability of selecting a circle and then add them together.

There are a total of 10 shapes in the box.

There are 3 triangles, so, the probability of picking a triangle is:

3/10

There are 2 circles, so, the probability of selecting a circle is:

2/10

Adding them together yields:

3/10 + 2/10 = 5/10 = 1/2

The probability of selecting a triangle or circle is 1/2.

help me please will give brainlest​

Answers

Answer:

Data Set 2, seventh graders:

Center: The median value is 54. (Count to the middle: it's the tenth value.) The set is bimodal, with modes at 53 and 55. (The mode is the number that occurs most frequently.)

Shape: The set looks to be fairly symmetrical, though data lies closer to the right than the left.

Spread: The range is 60-50 = 10, so it's less spread out than the sixth graders.

2.3 + r = 7.1
solve for r

Answers

Answer:

2.3+r=7.1

move all terms to the left:

2.3+r-(7.1)=0

add all the numbers together, and all the variables

r-4.8=0

move all terms containing r to the left, all other terms to the right

r=4.8 is the answer

Answer:

r = 4.8

Step-by-step explanation:

2.3 + r = 7.1

r + 2.3 = 7.1

r = 7.1 - 2.3

r = 4.8

A random sample of 100 people from region A and a random sample of 100 people from region B were surveyed about their grocery-shopping habits. From the region A sample, 16 percent of the people indicated that they shop for groceries online. From the region B sample, 24 percent of the people indicated that they shop for groceries online. At the significance level of α=0.05, do the data provide convincing statistical evidence that there is a difference between the two regions for the population proportions of people who shop online for groceries? Complete the appropriate inference procedure to support your answer.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let a and b be the subscript for people from region A and region B. The population proportions would be pa and pb

pa - pb = difference in the proportion of people from region A and region B.

The null hypothesis is

H0 : pa = pb

pa - pb = 0

The alternative hypothesis is

H1 : pa ≠ pb

pa - pb ≠ 0

it is a two-tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For region A,

xa = 16

na = 100

pa = 16/100 = 0.16

For region B,

xb = 24

nb = 100

pb = 24/100 = 0.24

The pooled proportion, pc is

pc = (xa + xb)/(na + nb)

pc = (16 + 24)/(100 + 100) = 0.2

1 - pc = 1 - 0.2 = 0.8

z = (pa - pb)/√pc(1 - pc)(1/na + 1/nb)

z = (0.16 - 0.24)/√(0.2)(0.8)(1/100 + 1/100) = - 0.08/√0.0002891223

z = - 1.41

Since it is a 2 tailed test, we would find the p value by doubling the area to the left of the z score to include the area to right.

Area to the left from the normal distribution table is

0.07927

P value = 0.07927 × 2 = 0.16

Since 0.05 < 0.16, we would accept the null hypothesis

Therefore, the data does not provide convincing statistical evidence that there is a difference between the two regions for the population proportions of people who shop online for groceries.

Final answer:

To determine if the differences in grocery shopping habits between two regions are statistically significant, a two-proportion z-test is conducted. We first state the null and alternative hypotheses, calculate the test statistic, find the p-value, and make a decision based on the significance level of 0.05.

Explanation:

To evaluate if there is a significant difference between the population proportions of people who shop online for groceries in two regions, we need to conduct a two-proportion z-test. The steps are as follows:

State the null and alternative hypotheses. The null hypothesis (H₀) is that there is no difference in the proportions of people who shop online for groceries in the two regions (p₁ = p₂). The alternative hypothesis (Ha) is that there is a difference (p₁ ≠ p₂).Calculate the test statistic using the formula for the two-proportion z-test. To compute this, we first find the pooled proportion, which combines the successes and total sample sizes from both regions.The p-value is then determined based on the calculated z-score. This p-value represents the probability of observing a test statistic as extreme as, or more extreme than, the observed result, under the assumption that the null hypothesis is true.Decide to reject or not reject the null hypothesis by comparing the p-value to the significance level (α = 0.05). If the p-value is less than α, we reject the null hypothesis, indicating sufficient evidence to say there is a significant difference in the proportions.

In this scenario, with 16% of 100 people from Region A and 24% of 100 people from Region B indicating they shop for groceries online, a two-proportion z-test will reveal if the observed difference is statistically significant at the 0.05 level.

Solve the equation by completing the square. 0=x^2-14x+46

Answers

Answer:

x = 7+√(3), 7-√(3)

Step-by-step explanation:

x^2 - 14x + ___ = -46 + ___

x^2 - 14x + 49 = -46 + 49

(x-7)^2 = 3

√(3) = x-7

x = 7+√(3), 7-√(3)

The value of x is x = 7+√(3), 7-√(3)

What is completing the square method.?

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

Given:

x² - 14x ++46 = 0

x² - 14x ++46 + 7²- 7² = 0

x² - 14x + 7² +46 - 49 = 0

(x- 7)² - 3=0

(x- 7)² = 3

x = 7+√(3), 7-√(3)

Learn more about completing the square method here:

https://brainly.com/question/26107616

#SPJ2

Use the earnings statement below to calculate the total percentage of income for taxes. To the nearest one percent, the percentage of gross income going to taxes and FICA is: 44% 31% 69% 11%

Answers

Answer: 31%

Step-by-step explanation: We need to find the amount deducted from the check which is $101.15. Keep in mind that this is the amount DEDUCTED, so if we add it to the net pay we will get the full amount which is $330.

Now we can do some math.

101.5 x 100 / 300 = 30.6515152% or 31%

The percentage of gross income going to taxes and FICA will be 38.75%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

To the nearest one percent, the percentage of gross income going to taxes and FICA is: 44% 31% 69% 11%

P = [(0.44 + 0.31 + 0.69 + 0.11) / 4] x 100

P = (1.55 / 4) x 100

P = 0.3875 x 100

P = 38.75%

The percentage of gross income going to taxes and FICA will be 38.75%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Find the value of x. Round to the nearest degree.

Answers

Answer:

x = 42

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin x = 6/9

Take the inverse of each side

sin ^-1 sin x = sin ^-1 (6/9)

x =41.8103149

To the nearest degree

x = 42

Answer:

did u also u 3.14 as pie too help u cause that what u are going to have to do

MEC makes a big family tent in the shape of a symmetrical triangular prism. The floor of the tent is 5 m long and 2.5 m wide. The peak of the tent is 1.9 m off the ground. The diagonal sides of the tent are 2.3 m long.

a) Draw a picture of the tent with dimensions

b) Polyurethane is a sheet material that is fairly waterproof and lightweight. It is sold in sheets of any area you desire. How much polyurethane was needed to make the tent? (remember: The bottom of the tent needs material to keep your sleeping bag dry)

c) How much space is there inside the tent? Predict how many people that might fit!?
* SHOW how you would you calculate that

d) MEC also sells an extra-waterproof fly made of polyester (every time I’ve camped it has snowed or rained…). The fly only covers the top and ends of the tent. How much polyester material is needed to make the fly?

Answers

Answer:

15,236 sq in

Step-by-step explanation:

First, you have to split the net into three rectangles and two triangles

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

Hope this helps :)

Help. help and I gonna give prainliest

Answers

Answer: $585

Step-by-step explanation:

Find the area of the trapezoid (Area: 117 sq ft)

Multiply the area by 5 because each square feet is $5

And vola your answer!

When you send mail via the post office, you have an 80% chance that it is
delivered to the correct location. (Use this information to answer questions #3 &
#4 below.)
Your answer

Answers

1. On Monday, about 86 letters were delivered incorrectly out of 430.

2. On Tuesday, approximately 625 letters were delivered in total.

1. For Monday:

Given an 80% chance of delivering correctly, the expected number of letters delivered incorrectly is 20% of 430:

[tex]\[ 0.20 \times 430 = 86 \text{ letters} \][/tex]

2. For Tuesday:

If 500 letters were delivered correctly, it means 100% - 80% = 20% were delivered incorrectly. So, the total number of letters delivered is:

[tex]\[ \frac{100}{80} \times 500 = 625 \text{ letters} \][/tex]

Complete Question:

pleaseeee helppppp me I'm dumbbbb​

Answers

Answer:

-12

(someone check)

Answer: -12

Step-by-step explanation:

|-16|=16, (-2)^2=4, 4^2=16

So, (16÷4) -16 = -12

Triangle A B C is shown. Angle A B C is a right angle. The length of hypotenuse A C is 9, the length of B C is 2, and the length of A B is 8.77. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleC to the nearest whole degree? 70° 77° 80° 85°

Answers

Answer:

answer is B 77

Step-by-step explanation:

got it right on edg 2020-2021

The nearest whole degree is 77

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: ABC is a right angle triangle AC=9, BC=2 and AB=8.77

The formula for law of cosines is given by a²=b²+c²-2bcosA

                                                                      81=4+76.9129-2×2cos A

                                                                      0.0871=-4Cos A

                                                                        cos A=-0.21775

                                                                                A=77.43208

Hence, The nearest whole degree is 77

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ6

Please help me guys!!!!!!!!

Answers

Answer:

-64

Step-by-step explanation:

Answer:

[tex]-64=64cos(\pi )+64i/ sin(\pi )[/tex]

Step-by-step explanation:

For a complex number a + bi, polar form is given by [tex]r(cos(0)+ i sin(0))[/tex], where [tex]r = \sqrt{a^2+b^2}[/tex] and [tex]a = atan(\frac{b}{a} )[/tex]

In this case, we have [tex]a = -64[/tex] and [tex]b=0[/tex]

Therefore, [tex]r = \sqrt{(-64)^2+(0)^2} =64[/tex]

Also, [tex]0 = atan(\frac{0}{-64} )+\pi =\pi[/tex]

Which means that, [tex]-64=64cos(\pi )+64i/ sin(\pi )[/tex]!!!

I'm happy i finally got it!

Paul, who is standing 150 feet above the water on a balcony of a cruise ship,

sees two boats located due north. The angles of depression from Paul

to the boats are 33

and 22°

Find the distance between the two boats to the nearest tenth of a foot.

Answers

Answer:140.3

Step-by-step explanation:

Answer:

140.3

Step-by-step explanation:

Latoya made $306 for 17 hours of work.
At the same rate, how many hours would she have to work to make $ 162?
hours

Answers

Answer:

9 hours of work

Step-by-step explanation:

306/17 = 18 per hour

so 162/18 = 9

Answer:

9 hours

Step-by-step explanation:

We can make a proportion and solve

She makes $306 for 17 hours of work,and she makes $162 for x hours of work

306/17=162/x

Cross multiply

306*x=17*162

306x=2754

Now we need to solve for x, by getting x by itself. x is being multiplied by 306; to undo this, divide both sides by 306

306x/306=2754/306

x=9

So, she needs to work 9 hours to make $162

6. Frozen fruit bars cost $3.95 for 5 bars.
Find how many you can buy with $12. Show your work.

Answers

Final answer:

By dividing the total cost of 5 fruit bars by 5, we get the cost per bar, which is $0.79. Then, dividing $12 by $0.79 per bar, we find that you can buy 15 bars with $12.

Explanation:

To determine how many frozen fruit bars can be purchased with $12 when 5 bars cost $3.95, we first need to calculate the cost per bar. We do this by dividing the total cost of 5 bars ($3.95) by the number of bars (5), giving us:

Cost per bar = $3.95 ÷ 5 = $0.79 per bar.

Next, we divide the total amount of money available ($12) by the cost per bar to find out how many bars can be bought:

Number of bars = $12 ÷ $0.79 per bar

When we do the calculation, we get:

Number of bars = 15.19 bars

Since we can't buy a fraction of a bar, we round down to the nearest whole number:

Number of bars that can be bought = 15 bars

Therefore, with $12, you can buy 15 frozen fruit bars.

Divide 6.35 ÷ 1.57. Round the quotient to the nearest hundredth.

Answers

Answer:

4.45

Step-by-step explanation:

Answer:

4.04

Step-by-step explanation:

6.35/ 1.57= 4.044585987261146‬

round to nearest hundredth is where the 4 is located at so its 4.04

A gopher has dug holes in opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance between the gopher's holes is 10 meters. How wide is the yard?

Answers

The width of the yard is 6 meters, calculated using the Pythagorean theorem with one side as 8 meters and the other side as the unknown width.

We can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the two sides of the triangle represent the length and width of the yard, and the hypotenuse represents the distance between the gopher's holes.

Let's denote the width of the yard as (w). According to the problem:

Length of the yard (L) = 8 meters

Distance between the gopher's holes (h) = 10 meters

Width of the yard ((w)) = ?

We can set up the following equation using the Pythagorean theorem:

[tex]\[ w^2 + 8^2 = 10^2 \][/tex]

[tex]\[ w^2 + 64 = 100 \][/tex]

[tex]\[ w^2 = 100 - 64 \][/tex]

[tex]\[ w^2 = 36 \][/tex]

[tex]\[ w = \sqrt{36} \][/tex]

[tex]\[ w = 6 \, \text{meters} \][/tex]

Therefore, the width of the yard is 6 meters.

James goes to Walmart and spends, d, dollars. He has a coupon for 25% off. What is James total after the coupon is applied?

Answers

Answer:

c

Step-by-step explanation:

Point O is the center of this circle. What is m A.) 56
B.) 62
C.) 72
D.) 76

Answers

Answer: its b. i suck at explaining so sorry lol but its b

Simplify (−2x3+9)(8x2+6x+1)

Answers

Answer:

-16x^4 - 12x^3 + 70x² + 54x + 9

Step-by-step explanation:

(-2x² + 9)(8x² + 6x + 1)

-16x^4 - 12x^3 -2x² + 72x² + 54x + 9

-16x^4 - 12x^3 + 70x² + 54x + 9

I am pretty sure that this is the answer.

Tell me if I am wrong.

Can I get brainliest

Sorry, It wont let me put my answer.

there are 300 student and teachers at a sports event.Grade k to 2 is students: 137 Grade 3 to 5 students: 145 Teachers: ? what is the percentage of teachers at the sports event.

Answers

Answer:

6%

Percentage of teachers = 6%

Step-by-step explanation:

Given;

Number of grade k-2 students = 137

Number of grade 3-5 students = 145

Total = 300

Number of teachers = 300 - (137+145) = 18

Percentage of teachers = (number of teachers÷total)× 100%

%T = (18/300) × 100

%T = 6%

Which ratio is equivalent to 3:3?

Answers

Final answer:

The ratio 3:3 signifies equality between two quantities and an equivalent ratio can be found by scaling both parts by the same number. Dividing both parts by 3 gives us the simplest form, which is 1:1.

Explanation:

A ratio compares two quantities and can be written in various forms such as fractions, with a colon, or with the word "to". The ratio 3:3 is an expression comparing two equal quantities. To find an equivalent ratio, we can simplify or scale the ratio by multiplying or dividing the numerator and denominator (the two parts of the ratio) by the same number.

In this case, dividing both parts of the ratio 3:3 by 3 gives us an equivalent ratio of 1:1, which also represents equality between two quantities. Multiplying both parts by a common number will also produce an equivalent ratio. For example, multiplying 3:3 by 2 gives us 6:6, which is still equivalent. It's essential to maintain the equality of the two parts when finding an equivalent ratio.

Ratios can be applied to various situations, including unit conversions, scale factors, proportions, and comparisons in scientific experiments, such as the ratio of amplitudes in a double-slit experiment in Physics.

Other Questions
Which locations fell immediately after the attack on Pearl Harbor?the PhilippinesBurma and IndiaGuam and Wake IslandJava, Sumatra, and Borneo Complete the following table for residuals for the exponential function: f(x) = 49.3(1.47) Hours Retweets Predicted Value Residual1 / 65 /2/ 90 /3/ 162 /4/ 224 /5/ 337 /6/ 466 /7/ 780 /8/ 1087 / How did the last ice age affect North America?Check all that applyOA. The southwest was covered with sand dunes.B. Canada was covered with ice thousands of feet thickC. Florida received heavy rains.O D. Much of the northern United States was ice covered.SUBMIT Which groups of elements on the periodic table form metal ions that do not require roman numerals in their names? Inverse notation f^-1 used In a pure mathematics problem is not always used when finding inverses of applied problems. Rather, the Inverse of a function such as C= C(q) will be q= q(C). The following problem illustrates this idea. The ideal body weight W for men (in kilograms) as a function of height h (m inches) is given by the following function.W(h)= 49+2.2(h-60)Required:a. What is the ideal weight of a 6-foot male?b. Express the height h as a function of weight W. Verify your answer by checking that W(h(W)) = W and h(W(h))h. Enlarge the triangle by scale factor 0.5 using 3,1 as the centre of enlargement which best explains the inability for life to exist in Earth's early atmosphere? select two options. what are some examples and non examples of slope? In his writings in Republic, Aristotle rejected democracy as a system of government. Please select the best answer from the choices providedIn his writings in Republic, Aristotle rejected democracy as a system of government. Please select the best answer from the choices provided The picture shows the number of colored shirts sold this week at Joans Clothing Shop. Joan assumes this trend will continue. She is going to put in an order for 500 colored shirts. How many of these should she order in orange? The following items were selected from among the transactions completed by ODonnel Co. during the current year: Jan. 10. Purchased merchandise on account from Laine Co., $240,000, terms n/30. Feb. 9. Issued a 30-day, 4% note for $240,000 to Laine Co., on the account. Mar. 11. Paid Laine Co. the amount owed on the note of February 9. May 1. Borrowed $160,000 from Tabata Bank, issuing a 45-day, 5% note. June 1. Purchased tools by issuing a $180,000, 60-day note to Gibala Co., which discounted the note at the rate of 5%. 15. Paid Tabata Bank the interest due on the note of May 1 and renewed the loan by issuing a new 45-day, 7% note for $160,000. (Journalize both the debit and credit to the notes payable account.) July 30. Paid Tabata Bank the amount due on the note of June 15. 30. Paid Gibala Co. the amount due on the note of June 1. Dec. 1. Purchased office equipment from Warick Co. for $400,000, paying $100,000 and issuing a series of ten 5% notes for $30,000 each, coming due at 30-day intervals. 15. Settled a product liability lawsuit with a customer for $260,000, payable in January. ODonnel accrued the loss in a litigation claims payable account. 31. Paid the amount due to Warick Co. on the first note in the series issued on December 1 1. Journalize the transactions. Refer to the Chart of Accounts for the exact wording of account titles. Assume a 360-day year. 2. Journalize the adjusting entry for each of the following accrued expenses at the end of the current year (refer to the Chart of Accounts for exact wording of account titles): a. Product warranty cost, $23,000. b. Interest in the nine remaining notes owed to Warick Co. Assumes a 360-day year. Which points are located on this graph? Check all thatapply.A: (1,1)B: (2,4)C: (-3,0)D: (0,3)E: (3,5)F: (1,4) Question 8 of 202 PointsWhich sentence uses capitalization rules correctly?OA. I'm studying Spanish because I've always wanted to visit Spain,and because my spanish-speaking friends can help me.OB. I'm studying spanish because I've always wanted to visit Spain,and because my spanish-speaking friends can help me.OC. I'm studying Spanish because I've always wanted to visit Spain,and because my Spanish-speaking friends can help me.OD. I'm studying Spanish because I've always wanted to visit spain,and because my Spanish-speaking Friends can help me. Which of the following is an example of wheal skin eruption?ScabBlisterFreckleHive Find the sum of the first 200 terms of the arithmetic sequence:4,7,10,13,... how could the girls improve their communication skills work out 1572 divided by 0.3 show your working. to find 1/8 divided 3/5 we use reciprocal of Plot on the number line. Which inequalities aretrue? Check all that apply.0009 In a democracy, the will of the majority is considered first. Even so, governments still respect the rights of the minority. Think of three ways to solve the problem in the reference image. Write your solutions below and be prepared to discuss them. Steam Workshop Downloader