Irina has 6 tubs yogurt. She wants to scoop it all into bowls. Each bowls holds 1/4 tub of yogurt. Which division equation can be used to find b, number of bowls she needs.

Answer:

y=1/2x+7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-9)/(2-4)

m=-1/-2

m=1/2

y-y1=m(x-x1)

y-9=1/2(x-4)

y=1/2x-4/2+9

y=1/2x-2+9

y=1/2x+7

Answer:

cos(30)

Step-by-step explanation:

Answer:

sin(15)

Step-by-step explanation:

Answer: first blank: jen

second blank: mean

Step-by-step explanation:

N/A

Step-by-step explanation:

if you follow me I will give your answer

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

If the marbles of the same color are indistinguishable, the boy can arrange the marbles in a line in 66,660 different ways.

If the marbles of the same color are indistinguishable, we can treat them as identical objects. In this case, we can use combinations to calculate the number of ways the boy can arrange the marbles.

The total number of marbles is 2 red + 6 yellow + 4 green = 12 marbles.

To calculate the number of ways to arrange these marbles in a line, we can use the concept of permutations with repetition. The formula for permutations with repetition is:

P(n; r1, r2, ..., rk) = n! / (r1! * r2! * ... * rk!)

where n is the total number of objects and r1, r2, ..., rk represent the repetition factors for each object.

In this case, the number of ways to arrange the marbles would be:

P(12; 2, 6, 4) = 12! / (2! * 6! * 4!)

Calculating this expression:

P(12; 2, 6, 4) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (2 * 1 * 6 * 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1)

Simplifying:

P(12; 2, 6, 4) = 66,660

Therefore, if the marbles of the same color are indistinguishable, the boy can arrange the marbles in a line in 66,660 different ways.

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An indication that the normality condition has been met for a t-test for the slope of a regression model would be a residual plot with no apparent pattern in the residuals and a histogram of the residuals that is centered at 0, unimodal, and symmetric.

The correct option is I and II only.

I. A residual plot with no apparent pattern in the residuals: A residual plot that shows no discernible pattern in the residuals suggests that the errors are randomly distributed and do not follow a systematic pattern. This is consistent with the assumption of normality.

II. A histogram of the residuals that is centered at 0, unimodal, and symmetric: A histogram of the residuals that is centered around 0, has a single peak (unimodal), and is symmetric indicates that the residuals follow a normal distribution.

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The answer is (a) 22 +/- 2 cm.

To calculate the measured value with uncertainty using the center value with error method, we need to calculate the average and standard deviation:

The average of the five measurements is:

(21.4 cm + 23.8 cm + 19.3 cm + 19.4 cm + 23.9 cm) / 5 = 21.96 cm

To calculate the standard deviation, we first need to calculate the variance. The variance is the average of the squared differences between each measurement and the mean:

((21.4 - 21.96) ^2 + (23.8 - 21.96)^2 + (19.3 - 21.96) ^2 + (19.4 - 21.96)^2 + (23.9 - 21.96) ^2) / 5 = 4.3168

The standard deviation is the square root of the variance:

sqrt(4.3168) = 2.078

Therefore, the measured value with uncertainty using the center value with error method is:

21.96 +/- 2.078 cm

Rounding to one significant figure, we get:

22 +/- 2 cm.

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Answer:

Step-by-step explanation:

It will take 48 minutes to make 140 airplanes. 35 × 4 = 140 airplanes. So take 12 × 4 = 48 minutes.

To determine which sets of ingredients are in a proportional relationship with the given recipe, we need to compare the ratios of the ingredients to the given ratio of 12 parts oil, 3 parts vinegar, and 2 parts honey.

For example, if we take the first set of ingredients: 16 parts oil, 4 parts vinegar, and 2 parts honey, we can calculate the ratios:

Oil: 16 parts / 4 = 4 parts

Vinegar: 4 parts / 4 = 1 part

Honey: 2 parts / 4 = 0.5 parts

Comparing these ratios to the original recipe, we can see that they are proportional, as each ratio is a multiple of the original ratio:

Oil: 4 / 12 = 1/3

Vinegar: 1 / 3 = 1/3

Honey: 0.5 / 2 = 1/4

Therefore, the first set of ingredients is in a proportional relationship with the recipe. We can apply the same process to the other sets of ingredients to see if they are proportional as well.

Answer:

your answer would be the second option.

Step-by-step explanation:

How this is is because it is in simple y=mx+b formation

the b is +1 and you go down one and over to the  three which is decreasing so it would be -1/3

Answer:

Step-by-step explanation:

Wow! There are 2 things going on here, so let's go step by step.

The first thing to notice is that the numbers are going negative, positive, negative, positive. Odd-numbered terms are negative while even-numbered terms are positive. Since 9 is odd number, we know the answer must be negative.

Secondly, the 1, 4, 9, 16 sequence is called the square numbers. They are 1 x 1, 2 x 2, 3 x 3, 4 x 4, etc. The 9th term will be 9 x 9 ( ignoring the negative).

Adding the first point with the second, we get   (-81)  { negative eighty-one }

Hope this helps.

1, The vector sum of two forces acting on an object is called the "resultant" force.

2.

The unit vector i points in the positive x-direction, so its components are (1, 0). Let's assume that the vector v has components (x, y). Since the direction angle a is measured between v and i, we can express the vector v as:

v = ||v||(cos a, sin a)

Comparing this with the options, we can see that the correct expression is:

b. ||v||(cos ai + sin aj)

In this expression, the cosine term represents the x-component of v, and the sine term represents the y-component of v. This aligns with the definition of v as a vector with direction angle a between v and i.

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Answer:

Hola and Como estas

Step-by-step explanation:

Hola means hello and you can use it formally and informally when speaking to friends or respected family members.

Como estas is a informal way of saying how are you to friends.

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Answer:

\(\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}\)

\(\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}\)

Step-by-step explanation:

Volume of cylinder = π × ( radius ) ² × h

1.) Here, radius = 4.25 in and height = 14 in.

Volume of cylinder = π × ( radius ) ² × height

substitute the values

Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.

now, simplify

= 3.14 × 18.0625 in²× 14 in.

= 3.14 × 252.875 in³

multiplying the value

= 794.0275 in³

\( \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}\)

2.) Here, radius = 7 in. and height = 8.5 in.

Volume of cylinder Q = π × ( radius ) ² × height

substitute the values

Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.

Simplify

= 3.14 × 49 in² × 8.5 in.

multiply the values

= 3.14 × 416.5 in³

\( \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}\)

a^2 +b^2 =c^2

7.

4^2+17^2=c^2

16+289=c^2

305=c^2

To undo the square you have to square root so

Sqr rt of 305 =17.46

8. 24 sqrd =576

52 sqrd=2704

2704+576=3280

Sqr rt of 3280 =57.27

The range of possible lengths for the third side in the first and the second case will be greater than 21 cm and 76 feet, respectively.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The third side of the triangle must be greater than the sum of the other two sides.

A)  4 cm and 17 cm, then the third side (a) of the triangle is given as,

a > 17 + 4

a > 21 cm

The range of possible lengths for the third side will be greater than 21 cm.

B)  24 ft and 52 ft, then the third side (b) of the triangle is given as,

b > 24 + 52

b > 76 ft

The range of possible lengths for the third side will be greater than 76 ft.

The range of possible lengths for the third side in the first and the second case will be greater than 21 cm and 76 feet, respectively.

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Answer:

F

Step-by-step explanation:

x - x1/ x2-x1= y - y1/ y2 -y1

x - 3 / -2 -3= y -3/6-3

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

3(x-3)= -5(y-3)

3x-9= -5y +15

5y = -3x +24

y= -3x/5 +24/5

Answer: 20 days

Step-by-step explanation: 3 inches is equal to 0.25 feet. 40 feet - 35 feet = 5 feet. 5 / 0.25 = 20.

Answer: x = 12

Step-by-step explanation:

124 + (5x-4) = 180

A straight line is 180 degrees. To the left of (5x-4) on your picture, that angle would be 124.

All you need to do is solve the problem:

1.) 124 + 5x - 4 = 180
2.) 120 + 5x = 180
3.) 5x = 60
4.) x = 12

Your answer is x = 12

The two angles in this problem are supplementary angles.

What are supplementary angles?

Supplementary angles are angles whose sum add up to 180°

In order to find x, set up an equation where the 2 angles are added together and equal to 180:

124 + (5x-4) = 180

Now solve for x by isolating it on one side of the equation.

x= 12

Step-by-step explanation:

one triangle has total 180°. so, 180° - 45° - 30° = 105°

Answer : 105°

Answer:

C

Step-by-step explanation:

A - 1.57 + 0.23 = 1.80

B- 1.09 + 0.76 = 1.85

C- 0.98 + 0.89 = 1.87

D - 1.18 + 0.68 = 1.86

C has the greater sum

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

Step-by-step explanation:

=-6x+27+20x-8

=14x+19

110.25 kW. The minimum power rating of the motor can be calculated using the formula for power, P = Fv, where P is the power, F is the force, and v is the velocity.

First, we need to convert the mass from tons to kilograms:
1.5 ton = 1.5 x 1000 kg = 1500 kg
Next, we need to calculate the force required to lift the mass at a constant speed. Since the elevator is moving at a constant speed, the force required is equal to the weight of the mass:
F = mg
F = (1500 kg)(9.8 m/s^2)
F = 14700 N

Now, we can plug in the values for force and velocity into the formula for power:
P = Fv
P = (14700 N)(7.5 m/s)
P = 110250 W
Finally, we need to convert the power from watts to kilowatts:
P = 110250 W / 1000
P = 110.25 kW
Therefore, the minimum power rating of the motor should be 110.25 kW.

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A. ∫(e^x cos(x)) dx = (1/2) e^x (sin(x) - cos(x)) + C.

B. ∫2x² / 4 dx - ∫3 / 4 dx = (1/2) x² - (3/4) x + C, where C is the constant of integration.

a) To evaluate the integral of ∫(e^x cos(x)) dx, we can use integration by parts.

Let u = e^x, and dv = cos(x) dx. Then du/dx = e^x and v = sin(x). Using the integration by parts formula,

∫(e^x cos(x)) dx = e^x sin(x) - ∫(e^x sin(x)) dx.

Next, we can use integration by parts again. Let u = e^x and dv = sin(x) dx. Then du/dx = e^x and v = -cos(x). Using the integration by parts formula again,

∫(e^x cos(x)) dx = e^x sin(x) - e^x cos(x) - ∫(e^x cos(x)) dx.

Adding ∫(e^x cos(x)) dx to both sides, we get

2∫(e^x cos(x)) dx = e^x (sin(x) - cos(x)) + C,

where C is the constant of integration.

Therefore,

∫(e^x cos(x)) dx = (1/2) e^x (sin(x) - cos(x)) + C.

b) To evaluate the integral of ∫2x³-3x / 4x dx, we can simplify the integrand by factoring out x:

∫2x³-3x / 4x dx = ∫(2x²-3) / 4 dx

Now we can integrate each term separately:

∫2x² / 4 dx - ∫3 / 4 dx = (1/2) x² - (3/4) x + C,

where C is the constant of integration.

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