2. Jenna has 168 cookies. If she wants to put an equal number of cookies on each of 6 plates, how many cookies will be on each plate?
3. Jaden has 72 trophies. If he wants to put an equal number of trophies in each of 4 boxes, how many trophies would be in each box?
HELP ASAP DUE TOMORROW!!​

The measure of angle x and z are 45.7° and 74° respectively.

Given that, straight line l and h are parallel.

Here, in the given figure,

(3x-31)°+z°=180° (Adjacent angles)

z°=180°-(3x-31)°

From the given figure,

z°=74° (Corresponding angles are equal)

180°-(3x-31)°=74°

180°-74°=(3x-31)°

(3x-31)°=106°

3x=106+31

3x=137

x=137/3

x=45.7°

Therefore, the measure of angle x and z are 45.7° and 74° respectively.

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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The volume of pyramid MABCD is (E) 870 cubic units

To find the volume of pyramid MABCD, we need to determine the dimensions of the pyramid.

Let's assume that the length of DM is 'n' units. Since MA, MC, and MB are consecutive odd positive integers, we can express them as follows:

MA = n + 2

MC = n + 4

MB = n + 6

Now, let's consider the dimensions of the rectangle ABCD. Since ABCD is a rectangle, AB and CD have the same length, and AD and BC have the same length.

Let the length of AB (and CD) be 'a' units, and the length of AD (and BC) be 'b' units.

Since DM is perpendicular to the plane of ABCD, it bisects the rectangle into two equal parts. Therefore, AD = b/2 and BC = b/2.

To find the volume of the pyramid, we can use the formula: Volume = (1/3) × base area × height.

The base area of the pyramid is given by the product of AB (a) and BC (b/2), so the base area is (a × b/2).

The height of the pyramid is given by DM (n).

Therefore, the volume of the pyramid is:

Volume = (1/3) × (a × b/2) × n

= (abn)/6

Now, let's substitute the values of MA, MC, and MB into the dimensions of the rectangle:

AB = MA + MB = (n + 2) + (n + 6) = 2n + 8

AD = MC = n + 4

Since AB = CD and AD = BC, we have:

AB = CD = 2n + 8

AD = BC = n + 4

Substituting these values into the volume formula, we have:

Volume = (abn)/6

= ((2n + 8) × (n + 4) × n)/6

Since we know that the length of DM is an integer, we need to find a value of n that makes the expression ((2n + 8) × (n + 4) × n) divisible by 6.

If we test the given answer choices, we find that the only value that satisfies this condition is 870.

Therefore, the volume of pyramid MABCD is 870 cubic units.

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The question is incomplete the complete question is :

Let ABCD be a rectangle, and let DM be a segment perpendicular to the plane of ABCD. Suppose that DM has integer length, and the lengths of MA, MC, and MB are consecutive odd positive integers (in this order). What is the volume of pyramid MABCD? (A) 2475 (B) 60 (C) 285 (D) 66 (E) 870

Answer:

Jeremy gets an pad hdudbesid e hi d USB d b

Answer:

He will pay $270

Step-by-step explanation:

because 250*0.08=20 and 250+20=270

i got 0.08 from converting 8 to a decimal

The probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

Probability may be defined as the possibility of occurrence of an event. Probability of an event can be 0 or 1 but it can never be negative. If probability is 0 then the event will not occur and if probability is 1 then the event will definitely occur. Probability is given by the formula.

Probability = Favorable outcomes/Total number of outcomes.

Here, total number of outcomes = 20.

Now in the first case we need to find probability of picking a girl so favorable outcome is 2.

Probability of picking a girl = 2/20

Probability of picking a girl = 1/10

In the second case we need to find probability of picking a left-handed girl, so the favorable outcomes are 2 + 9 = 11 as total number of girls are 2 and total number of left-handed people are 9.

Probability of picking left-handed girl = 9 + 2/20

Probability of picking left-handed girl = 11/20

Thus, probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

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Answer: -4x+10

Step-by-step explanation: .

Answer:

26,28

Step-by-step explanation:

We can make a system of equations based on the information given

first we can make one for the perimeter

and one for the area using herons formula

(x and y are the two unknown sides)

\(84=30+x+y\)

\(336=\sqrt{42(12)(42-x)(42-y)}\)

Now solve for x and y or you can find it by graphing

x and y = 26 and 28, the order does not matter since they are both unkown

so the two sides are 26 and 28

After solving the expression, the number is 5.

In the given question we have to answer twice the sum of five times a number increased by one is twelve.

We have to determine the number by solving the given statement.

To solve the question we have to read the statement carefully. Then write the expression according to the statement. Then solve the statement according the rules.

In the given statement given that five time a number.

Let the number be x. So the expression should be 5x.

Again says that five times a number increased by one. So the expression 5x+1.

Then says that twice the sum of five times a number increased by one. Now the expression should be 2(5x+1).

Then says that twice the sum of five times a number increased by one is twelve. Now the statement is 2(5x+1)=12

Now solving the expression.

Divide by 2 on both side, we get

5x+1=6

Subtract 1 on both side, we get

5x=5

Divide by 5 on both side, we get

x=1

Now the number is 5.

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Answer:

h=60/13

Step-by-step explanation:

Δ=1/2(13)(h)

30=13h/2

h=60/13

The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

We have,

1)

The volume of the box can be found by multiplying the length, width, and height together:

Volume = l × w × h

= 19 in × 18 in × 3 in

= 1,026 in³

2)

To find the volume of the prism, we need to multiply the area of the base (which is a square) by the height:

Volume = base area × height

Since the base of the prism is a square with a side length of 2 ft, the area of the base is:

base area = side² = (2 ft)² = 4 ft²

The volume of the prism is:

Volume = base area × height

= 4 ft² × 9 ft

= 36 ft³

Therefore,

The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

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Answer:

See below

Step-by-step explanation:

(a+c)^2 = t

(a+c) = sqrt t

c = sqrt(t) - a

Answer:

5x(-125x+1)

Step-by-step explanation:

im not completely sure but yee

The projected ending cash balance for theTmonth is -$260. Therefore, the correct option is OB. ($260).

Initial cash balance: $1,200

Projected revenue: $2,350

Gas: $100

Equipment maintenance fees: $290

Truck payment: $400

Payroll: $2,900

Insurance: $120

Total expenses: $100 + $290 + $400 + $2,900 + $120 = $3,810

Projected ending cash balance: Initial cash balance + Projected revenue - Total expenses

= $1,200 + $2,350 - $3,810

= $1,200 + $2,350 - $3,810

= $3,550 - $3,810

= -$260

Based on the calculations, the projected ending cash balance for the month is -$260. Therefore, the correct option is OB. ($260).

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y = 4(2) + 2

= 8 + 2 = 10

Answer : y = 10

Answer:

10

Step-by-step explanation:

Given

y = 4x + 2 ← substitute x = 2 into the equation

y = 4(2) + 2 = 8 + 2 = 10

Answer:

A. Amplitude: 1; midline: y = 1

Answer:

A. Amplitude: 1; midline: y = 1

Step-by-step explanation:

i took the test

\(\Large\underline{\rm Solution :- }\)

Tip : The Equation of the line can be found using the Slope Intercept Form when we have y intercept and slope of the line , which is \( y = mx + c \)

From the graph we can see that it cuts y axis at (0,1) . And x axis at (0.3,0) . ( approximately) . Hence the slope ,

\(\implies m = \dfrac{1}{0.33} \approx\boxed{ 3} \)

On using Slope Intercept Form :-

\(\implies y = mx + c \\\\\implies y = 3x + 1\\\\\implies \underline{\boxed{ f(x) = 3x + 1 }}\)

Option b is correct .

The dependent variable in this experiment is the level of anxiety as measured by a standardized measure of anxiety before and after the interventions or waitlist period.

The dependent variable in this experiment is the standardized measure of anxiety that was administered to participants before and after the interventions or waitlist period.

The dependent variable is what is being measured or observed to determine the effectiveness of the two interventions (cognitive-behavioral therapy and mindfulness-based stress reduction program) for anxiety.

Therefore,  The researchers are trying to find out how the interventions affect anxiety, so anxiety levels are the outcome or result of the intervention and therefore the dependent variable.

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The dimension of the open-top cylindrical can with a volume of 1000 cubic centimeters to have the minimum surface area is:

radius = height =6.83 cm

The formula for volume of open-top cylindrical can is the same as the formula for volume of the closed-top cylindrical can, which is:

V = πr²h

where

r = the circle radius

h = the height of the cylindris

Hence, based on the question, we could formulized the condition into such equation:

V = πr²h = 1000 cm³ ... (i)

h = 1000/πr² ... (ii)

The formula for surface area of the open-top cylindrical can is the sum of the area of the bottom cirlce and the area of the rolled-up rectangle. We could make the formula for the surface area such:

Sa = πr² + l×h ... (iii)

From the equation and the picture attached, we know that the length of the rolled-up rectangle is equal to the circumference, hence we could rewrite the equation (iii) into:

Sa = πr² + πd×h

Sa = πr² + π2r×h

Sa = πr² + 2πrh ...(iv)

We could subtitute the equation (ii) into equation  (iv) to eliminate element h in the equation:

Sa = πr² + 2πr(1000/πr²)

Sa = πr² + 2000/r ... (v)

Since, we want to know the dimensions of the open-top cylindrical can where its surface area is the minimum, we have to use the derivative rules to find the correct dimensions.

Because the dimension r (radius) is the element with multiple exponential, we will derived the equation (v) by r. The result of the derivative of the equation (v) by r, should be 0 (zero) for it to have the minimum surface area. Hence:

dSa = d(πr² + 2000/r) = 0

dr               dr

2πr - 2000/r² = 0

2πr = 2000/r²

2πr³ = 2000

r³ = 1000/π

r = 1000/∛π

r = 6.83 cm ... (vi)

After finding the radius of the cylinnder can, we will subtitute the equation (vi) into equation (ii) to find the height of the cylindrical can:

h = 1000/πr²

h = 1000/π(6.83)²

h = 6.83 cm ... (vii)

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The margin of error will be E = ± 4.04 %

The margin of error is defined as the error in the sample data of the statistics.

Given that:-

sample data = ( p ).

success p^ = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

E=z-critical \(\dfrac{\sqrt{P(P-1)}}{n}\)

The margin of error "E" for estimation of population proportion ( p ) is given by:

P ( Z < Z-critical ) = a/ 2

a = 1 - CI  

P ( Z < Z-critical ) = (1 - 0.98) / 2  

P ( Z < Z-critical ) = 0.01    

Z-critical = 2.33  

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

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rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Answer:

5. m<1 = 114 degrees

   m<2 = 66 degrees

6. 2x + 3x + 4x = 9x = 180, x = 20

7. 3

8. 1/3

Hope that helps!

-scsb

Step-by-step explanation:

Answer:

66

20

3

1/3

Step-by-step explanation: Can I get brainliest? Thanks!

5. m∠2 = 180-59-55 = 66

m∠1 = 180-66 = 114

6. 2x+3x+4x=180

x(2+3+4)=180

x(9)=180

x=180/9=20

Plug back in to check:

2(20)+3(20)+4(20)=40+60+80=180

7. (3,8) to (9,24)

(9,24)/(3,8) = (3,3) so scale factor = 3

8. (12,15) to (4,5)

(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

Answer:

10 months

Step-by-step explanation:

12 000 is 1000 away from 13000 so you must divide 1000 by 100 to find out the answer

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.

A two-sample t-test is used to determine whether or not genuine population means are equal.

The accompanying null hypothesis is usually used in a two-sample t-test:

\(H_0\): The two population averages are equivalent when 1 = 2.

The alternative hypothesis might have two tails, a left or right tail, or none at all:

Two-tailed \(H_1\): μ1 ≠ μ2 Neither of the two population means is equal.

(Left-tailed) \(H_1\): Population 1 mean is lower than population 2 mean by a factor of 1.

\(H_1\) (right-tailed): Populations 1 and 2 have mean values that are higher than each other.

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Answer:

(a+7) (b-3)

Step-by-step explanation:

Answer:

the answer is 445,784

Step-by-step explanation:

The population y after x years of growth with the growth rate r and the original population C can be found using the exponential growth​ formula, . Substitute the decimal equivalent for the percent growth rate per year for r.

Answer:

Down below

Step-by-step explanation:

inside of a triangle is 180 degrees. first we have to find what the inside of z and y are.

\(z=360-285\\z=75\\y=180-116\\y=64\\\)

then solve for x

\(180=75+64+x\\180=139+x\\180-139=139+x-139\\41=x\)

Answer:

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5\)