Plz help !!!!!!!!!!!!!

Plz Help !!!!!!!!!!!!!

Answers

Answer 1

Answer:   d) 4

Step-by-step explanation:

[tex]\bigg(-\dfrac{2}{5}x\bigg)(5y)(-2x)\\\\\\=\bigg(-\dfrac{2}{5}\bigg)(5)(-2)\cdot x^2y\\\\\\=(-2)(-2)\cdot x^2y\\\\=4\cdot x^2y[/tex]


Related Questions

the price p of a new house minus 20% down payment ​

Answers

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

Erin earned $25 last week for 5 hours of baby-sitting. This week she earned $40 for 8 hours of baby-sitting. What was her hourly rate in whole dollars?

Answers

Answer:

5 dollars

Step-by-step explanation:

25/5 = 5 (25 dollars for 5 hours. Divide 25 and 5 to get how many dollars she earned for one hour)40/8 = 5 (Each hour she earned $5 since 40/8=5 and 25/5=5

~Jax

what coordinates are 7 units away from (2,−7)

Answers

One coordinate that is 7 units away from (2,-7) is (2,0). (2,0) is 7 units to the right of (2,-7)

Another coordinate is (9,-7). This one also works.

Answer:

(-5,0) & (9-14)

Step-by-step explanation:

and or subtract seven from both and... BOOM you got your answer

Orlando bought some groceries that cost a total of $22.68. He used a $20 bill and a $10 bill to pay for the groceries. What are two different ways he could receive his change? What is his change?

Answers

Step-by-step explanation:  20+10=30

30-22.68 =7.22

1 way to receive his change: 1 five dollar bill, 2 one dollar bills, 6 dimes and 8 pennies.

1 different way to receive his change : 7 one dollar bills, 13 nickels and 3 pennies.

his change would be exactly $7.32. he could get all 1’s or a five and 2 ones

Which numbers are irrational?

Select each correct answer.


A. 6.25−−−−√

B. 3√

C. −1√

D. 32−−√

Answers

The first one I believe

Answer: A

Step-by-step explanation: rational numbers \can be turned into a fraction so yea.

In Spencer's garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is .

Answers

Answer:

1.5c-7=n

Step-by-step explanation:

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

use the graph of y=e^x to evaluate the expression e^-1.5

round to the nearest tenth if necessary.

Answers

Answer:

0.25

Step-by-step explanation:

Locate the x value -1.5 along the x-axis. It has a matching output or y value on the curve. Draw a vertical line at x = -1.5. Where the line and curve intersect it the output value. Here it estimates as 0.25.

Answer:

0.223 is the answer

Step-by-step explanation:

Here first we draw the graph of y =[tex]y =e^x[/tex]

and in order to find the value of [tex]e^{-1.5}[/tex]

we draw a line x =-1.5

and the point where this line x =-1.5 intersects with given

graph is the required value

which is y =0.223 at  x =-1.5

Below is the graph given

Identify the center and intercepts if the conic section. then find the domain and range. i’ll post the answers below

Answers

The conic section is Parabola. It intersects at point (0,5) on the y-axis. The domain of the parabola is all real numbers. The range of the parabola is [tex]y\ |y \ge 5[/tex].

The image appears to be a graph of a parabola. Here's the information:

Type of conic section: Parabola

Center: This parabola doesn't have a center, as parabolas are not symmetrical across both axes.

Intercepts: The parabola intersects the y-axis at the point [tex]$(0, 5)$[/tex]. It doesn't intersect the x-axis.

Domain: The domain of the parabola is all real numbers, as it extends infinitely in both directions to the left and right.

Range: The range of the parabola is all real numbers greater than or equal to 5, as it starts at the point [tex]$(0, 5)$[/tex] and extends infinitely upwards.

Final answer:

The center and intercepts of a conic section vary depending on the specific type. The domain and range also differ based on the nature of the conic section, with some having a limited set of x or y values, while others span all real numbers with exceptions.

Explanation:

To identify the center and intercepts of a conic section, we first need the specific equation of the conic section (circle, ellipse, parabola, or hyperbola). The intercepts are the points where the graph intersects the x-axis and y-axis. The center of a conic section (for circles and ellipses) is the point inside the conic section that is equidistant from all points on the curve. For parabolas, the center does not exist since they are open-ended curves, and for hyperbolas, the center is the midpoint between the vertices of the two branches of the curve.

The domain and range are the set of possible x-values and y-values respectively that the function (conic section) can take. For circles and ellipses, the domain and range are limited to the values within the bounds of those shapes. Parabolas have an infinite domain when the axis of symmetry is vertical and an infinite range when the axis of symmetry is horizontal, except if there is a horizontal directrix, which restricts the range. Hyperbolas have a domain and range all real numbers except for values that fall within the 'gap' created by the asymptotes.

The point-slope form of the equation of the line that passes through (-5,-1) and (10,-7) 157Wt is the ), What is the standard form of the equation for this line?

Answers

Answer:

[tex]y + 1 = -\frac{2}{5}(x+5)[/tex]

and

2x + 15y = -15

Step-by-step explanation:

To write the point slope form, a point and a slope is required. Find the slope using the two points given and the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{-1 --7}{-5-10}= \frac{6}{-15} = -\frac{2}{5}[/tex]

Substitute -2/5 and the point (-5,-1) into the form. Then convert to make the standard form of the equation.

[tex]y - y_1 = m(x-x_1)\\y --1=-\frac{2}{5}(x--5)\\y + 1 = -\frac{2}{5}(x+5)[/tex]

Now convert to standard form by applying the distributive property and moving terms.

[tex]y + 1 = -\frac{2}{5}(x+5)\\y + 1 = -\frac{2}{5}x - 2\\y + 3 = -\frac{2}{5}x\\\frac{2}{5}x + y +3=0\\2x + 5y + 15 = 0\\2x + 15y = -15[/tex]

A bag contains 10 marbles.four of them are red,three blue,two white and one yellow. A marble is drawn at ramdom. What is the probability that it is not a yellow?

Answers

Answer:

90% chance that it's not yellow

Step-by-step explanation:

Since there is 1 yellow that mean that 9/10 marbles are a different color

9/10 as a percentage is 90%

Hope this helps and have a blessed day!

A chef uses 4.5
cups of tomatoes to make each batch of pasta sauce. If
represents the number of cups of sauce, which equation models this situation?

A.=4.5, where is the number of batches

B.=4.5 where is 1 batch of sauce

C.=4.5 where is the number of batches

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answers

Answer:

D.=4.5 where is the number of cups of tomatoes in a batch of sauce

Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

x=batch(es) of pasta sauce

Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

x=2

So 4.5x2=9

Answer for the example is 9

What is the same value as 5/8 2?

Answers

The answer is (D) 5/8 x 1/2

*EASY* WILL MARK BRAINEST! Find the slope of the line in the image below!

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Slope = rise/run

rise=2

run=1

Final answer:

2/1 or 2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

The slope of the line is 4/2, or 2/1, or 2 because if you find the rise over run, you will get either 4/2 or 2/1.

gurindas previous checking account balance was $532.14. since then she has written a check for $46.19 and one for 138.32. she also made a $200 deposit into her account. assuming her monthly service charge is $6, how much is her new balance ?

Answers

Answer:

$541.63

Step-by-step explanation:

To find the balance of Gurindas, we need to break down our values.

Checking Balance = $532.14

Checks = $-46.19 + $-138.32 = $-184.51

Deposit =  $200

Service Charge = $-6

Now to find her new balance, we simply add them all together.

New Balance = 532.14 + -184.51 + 200 + -6

New Balance = $541.63

A point has zero dimension and a line has one

Answers

A point has zero dimensions. There's no length, height, width, or volume. Its only property is its location.

One Dimension: Once you connect two points, you get a one-dimensional object — a line segment.

A square painted has a side length of 18 inches what is the area of the painting

Answers

To find the area of a square, you multiply the side length by itself. So, multiply 18 feet by 18 feet to get 324 square feet.
Since it is a square, all side lengths will be equal. Thus, we can assume that since the equation to find area is wl or width*length, we can simply multiply 18 by 18.
18*18=324
The area of the painting is 324 inches.
Hope this helps!

Given the line of best fit for a data set of data points with the equation y=5x-2.5,what is the residual for the point (4,13)

Answers

Final answer:

The residual for the data point (4,13) given the line of best fit y=5x-2.5 is -4.5, indicating the line overestimates the value of y by 4.5 units.

Explanation:

The student is asking about finding the residual for a data point (4,13) given the line of best fit with the equation y=5x-2.5. To find the residual, you calculate the difference between the actual y value of the data point and the predicted y value from the line of best fit. For the given point, the predicted y value is calculated by substituting x=4 into the line equation, yielding y = 5(4) - 2.5 = 17.5. The residual is the actual y value minus the predicted y value: 13 - 17.5 = -4.5. Therefore, the residual for the point (4,13) is -4.5, indicating that the line of best fit overestimates the actual data value for y by 4.5 units.

Identify four solutions of the equation y = 2^x

Answers

Answer:

(0,0) (1,2) (2,4) (3,6)

(0,0) (1,2) (2,4) (3,6)

Identify the domain of the function

Answers

The answer is C. is right

Answer:

C) (-4, 4]

Step-by-step explanation:

We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.

Where given choices are :

A) [-4, 4)

B) [-4, 4]

C) (-4, 4]

D) (-4, 4)

Remember that we use ( or ) for open circle. and [ or ] for close circle.

Hence correct domain is

C) (-4, 4]

Arrange the numbers in decreasing order of their values.

Answers

Answer:

The numbers in decreasing order of their values are:

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is [tex]\sqrt{37}[/tex], we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

[tex]\sqrt{37}=6.0828[/tex]

The second number is a fraction, in decimal form will be:

[tex]\cfrac{19}{3}= 6.3333[/tex]

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

[tex]6.3333... > 6.0828...>6.08171...>6.012[/tex]

Lastly we can write the decreasing order using the numbers on their original form.

[tex]\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012[/tex]

Write the equation of a circle givin by (x-3)^2+(y+7)^2=4

Answers

Answer:8

Step-by-step explanation:(

x

+

4

)

2

+

(

y

7

)

2

=

64

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

8

h

=

4

k

=

7

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

,

7

)

These values represent the important values for graphing and analyzing a circle.

Center:  

(

4

,

7

)

Radius:

8

-8x+4=36 What is the solution to this equation

Answers

Answer:

X= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

-8x+4=36

-8x=36-4

-8x=32

x=32/(-8)

x=-4

Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation above? A. y = - x + 30 B. y = 3x + 6 C. y = - x + 6 D. y = x + 30

Answers

Answer:

[tex]y=-\frac{3}{5} x+6[/tex]

Step-by-step explanation:

Lets solve the equation [tex]3x+5y=30[/tex] for [tex]y[/tex] step-by-step:

Step 1. Subtract [tex]3x[/tex] from both sides of the equation

[tex]3x+5y=30[/tex]

[tex]3x-3x+5y=-3x+30[/tex]

[tex]5y=-3x+30[/tex]

Step 2. Divide both sides of the equation by 5

[tex]\frac{5y}{5} =\frac{-3x+30}{5}[/tex]

[tex]y=\frac{-3x+30}{5}[/tex]

[tex]y=-\frac{3}{5}x+\frac{30}{5}[/tex]

[tex]y=-\frac{3}{5} x+6[/tex]

We can conclude that the equation that can be used for solve for [tex]y[/tex] is [tex]y=-\frac{3}{5} x+6[/tex]

Answer:

y = -3x/5 + 6

Step-by-step explanation:

Given the equation 3x+5y = 30, to find the equation that can be used to solve for y, we will have to make y the subject of the formula from the given linear equation to have;

3x + 5y = 30

First we will subtract 3x from both sides of the equation to have;

3x+5y-3x = 30-3x

5y = 30-3x

Dividing both sides of the equation by the coefficient of y which is 5 we will have;

5y/5 = 30/5-3x/5

y = 6-(3x/5)

y = -3x/5 + 6

How do I solve system of equations by substitution
3x-7y=41
x=-2y-21

Answers

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

The solution is

The value of x = -5

The value of y = -8

What is an 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.

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 data ,

Let the equation be represented as A

Now , the equation A is

3x - 7y = 41   be equation (1)

x = -2y - 21   be equation (2)

Now , substitute the value of equation (2) in equation (1) , we get

3x - 7y = 41

3 ( -2y - 21 ) - 7y = 41

On simplifying the equation , we get

-6y - 63 - 7y = 41

Adding 63 on both sides of the equation , we get

-13y = 104

Divide by -13 on both sides of the equation , we get

y = -8

So , the value of y = -8

Substitute the value of y in equation (2) , we get

x = -2y - 21

x = - 2 ( -8 ) - 21

x = 16 - 21

x = -5

So , the value of x = -5

Therefore , the value of x is -5 and y is -8

Hence ,

The value of x = -5

The value of y = -8

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

A bakery gave out coupons to celebrate its grand opening. Each coupon was worth either $1, $3, or $5. Twice as many $1 coupons were given out as $3 coupons, and 3 times as many $3 coupons were given as $5 coupons. The total value of all the coupons given out was $360. How many $3 coupons were given out? ​

Answers

Answer:

54

$3 dollar coupons were given

Step-by-step explanation:

We can represent this question as a system of equations

Let

x = number of $1 dollar coupons

y = number of $3 dollar coupons

z = number of $5 dollar coupons

Twice as many $1 coupons were given out as $3 coupons,

x = 2*y

3 times as many $3 coupons were given as $5 coupons.

y = 3*z

The total value of all the coupons given out was $360

x*$1 + y*$3 + z*$5 = $ 360

The system results

x   -   2y   +  0    =  0         (1)

0   +  y     -  3z    = 0         (2)

x    + 3*y      +5*z =   $ 360    (3)

We substitute  equation (2) and (1) into (3)

(2y)   + 3*y    + 5*(y/3) =   $ 360

20*y/3  = 360

y = 54

To determine the number of $3 coupons given out by the bakery, we solved the equation 5x + 3(3x) + 1(2(3x)) = $360, where x represents the number of $5 coupons. We found that x = 18, and since there are three times as many $3 coupons as $5 coupons, the bakery gave out 54 $3 coupons.

The question involves solving a system of linear equations to determine how many $3 coupons were given out by the bakery. Let's define the variables first:

x = number of $5 coupons3x = number of $3 coupons2(3x) = number of $1 coupons

Based on the given information, we can set up the following equations:

5x + 3(3x) + 1(2(3x)) = $360

Now let's solve the equation:

5x + 9x + 6x = $36020x = $360x = 18

Once we have x, we know that the number of $3 coupons is 3 times x, so:

3x = 3(18) = 54

Therefore, 54 $3 coupons were given out by the bakery.

Find the value of y.

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

[tex]\sqrt{3^2-1^2}\\2\sqrt{2}[/tex]

Help me solve this please

Answers

[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]

1.19

R is a 90 degree angle you can see that by looking for a square where the two live meet and s=42 add 90 to 42 to get your answer

Hope this helped! :)

Which of the following is not equivalent to 15!/10!5!

P(15, 10)

C(15, 10)

C(15, 5)

Answers

Answer:

P(15, 10)

Step-by-step explanation:

By definition;

[tex]nC_r=\binom{n}{r}=\frac{n!}{(n-r)!r!}[/tex]

and

[tex]nP_r=\binom{n}{r}=\frac{n!}{(n-r)!}[/tex]

This implies that;

[tex]15P_{10}=\binom{15}{10}=\frac{15!}{(15-10)!}=\frac{15!}{5!}[/tex]

[tex]15C_{10}=\binom{15}{10}=\frac{15!}{(15-10)!10!}=\frac{15!}{5!10!}[/tex]

[tex]15C_{5}=\binom{15}{5}=\frac{15!}{(15-5)!5!}=\frac{15!}{5!10!}[/tex]

PLZ HELP ASAP NEED HELP
What are the zeros of the function f, where f (x) = 6 x2 – 9 x – 6?

Answers

Answer: [tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]6x^2-9x-6=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=6\\b=-9\\c=-6[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-(-9)\±\sqrt{(-9)^2-4(6)(-6)}}{2(6)}[/tex]

[tex]x_1=2\\\\x_2=-\frac{1}{2}[/tex]

The equation of a circle is x^2 + y^2 -4x + 2y - 11 = 0. What are the center and the radius of the circle? Show your work.

Answers

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Answer:

Center at (-2, -1) and radius = 4

Step-by-step explanation:

We are given the following equation of a circle which we want to convert into the standard form:

[tex]x^2+y^2-4x+2y-11=0[/tex]

Note that

(x + a)² = x² + 2ax + a²

so that

x² + 2ax = (x + a)² - a²

So [tex]x^2+y^2-4x+2y-11=0[/tex]

[tex]x^2-4x+y^2+2y=11[/tex]

[tex](x-2)^2-2^2+(y+1)^2+1^2=11[/tex]

[tex](x-2)^2+(y+1)^2-5=11[/tex]

[tex](x-2)^2+(y+1)^2=16[/tex]

Therefore, this equation represents a circle with center at (-2, -1) and radius √16 = 4, as shown below.

Other Questions
A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red? Differentiate between primary and secondary sources, understanding the potential and limitations of each Which statement above is true about the value of x What is the distance between -13 and 13 on a number line NEED HELP!!! When did French Baroque architecture reach its peak? a. during the rule of Louis XVI b. during the rule of Marie Antoinette c. during the rule of Henry XV d. during the rule of Versailles XV What is the "State of Nature"?A. US territorial governmentB. A situation in which people do whatever they are strong enough to get away withC. A foreign countryD. A place with many plants and animals What is the slope of the line show below? Under the Constitution, the principle of "federalism" is the reason that power and responsibility are shared by state and national governments divided into three branches of government limited to what is listed in the amendments granted to the states through amendments how do you locate fraction 4/1 on a number line Solve for X: |3x + 12| =18 K12/ Which statement BEST identifies the central idea of Leave Grant Alone? Question 1 options: Ronald Reagan is an excellent candidate for replacing Grant on the $50 bill, and Congress should pass a bill that legislates the replacement. Reagan's lasting effect on the country is yet to be determined, so he should not replace Grant on U.S. currency. Since currency puts citizens in touch with our nations greatness, we need to regularly update it to keep up with current events. Reagan fans are putting continual pressure on Congress to remove Grant from the $50 bill. Question 2 (5 points) Saved In paragraph 5 of Time to Change the $50 bill, what argumentative strategy does the author use? Question 2 options: He brings in research from a documented source. He acknowledges a counter claim from the opposition and argues against it. He builds the argument through the use of rhetorical questioning. He uses emotional appeal by creating an anecdote that touches the reader's heart. Question 3 (5 points) Which statement from Time to Change the $50 Bill BEST supports the authors central idea? Question 3 options: Opponents of the change cite the relatively short time since Reagans presidency, saying that the historical verdict has not yet had time to shape itself. On February 25, 2010, Representative Patrick McHenry (R-NC) filed bill HR 4705 in the House of Representatives. They polled scholars both left and tight-leaning, and the result put Reagan in sixth place and President Ulysses S Grant (currently on the $50 Bill) in twenty-ninth place among the 40 presidents. Some or most of it flows down and enriches those at lower economic levels. Question 4 (5 points) Saved Which of the following is NOT a feature of the Revolutionary Literary Period? Question 4 options: people arrive at truth through reason God created the universe, but is now hands-off patriotic ideas focus on serving the King What geologic processes caused gold ore to form? What is the dominant religion in South Africa? Hint: Use the map in the lesson to help you answer this question. what name was given to u.s. strategies to prevent the expansion of Communism after World War II may somebody help me please and thank you. Which of the following explains why nutrition labels have totals for both a 2,000 and 2,500 calorie diet?A) Some people burn calories faster and require more each day.B) People trying to lose weight should follow the 2,000-calorie recommendations.C) The FDA wants to illustrate that cholesterol and sodium recommendations are the same. According to Smith, what happens when more people want a product than there is a supply of that product? What do you think happens to the price of the product if the desire for the product is extremely powerful? wat tactic did the united states use to prevent huge shipping losees in the Atlantic Jackson buys a new Shirt. The shirt is 25% off the original price. Jackson pays a total of $11.34 for the shirt, which includes a sales tax of 8%. What is the original price, in dollars, of the shirt? What was one of the positive effects of stephensons invention of the steam powered train? Steam Workshop Downloader