Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. when buying groceries one day with a

budget of $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have 150

calories each. the bananas cost $0. 35 each and the granola bars cost $2. 50 each.

The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;

From a similar question, we have;

Side length of the hexagon = 8.1 m

Perpendicular distance from the center to a side of the hexagon = 7 m.

Therefore;

Cross sectional area of the hexagon, A is found as follows;

A = 6 × 0.5 × 7 × 8.1 = 170.1

Length of the tunnel, D = 3572.1 ÷ 170.1 = 21

D = 21 meters

Length of two cars and a connector, L = 8 + 8 + 3 = 19

The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.

Therefore;

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Answer:

[tex] \sf \: Proved \: \angle \: OAD \: = \angle \: OCD[/tex]

Step-by-step explanation:

Given:

Mn is diameter of circle having centre O

and BD = OD,

To prove that:

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

Solution:

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

[tex]\angle \: OBD \: = \angle \: OCD[/tex]

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

[tex]\angle \: OBD \: = \angle \: OAB \\ \angle \: OAB \: = \angle \: OAD (same \: angles) \\ \angle \: OBD \: = \angle \: OAD[/tex]

Consider above prove as statement B

From Statement A & B we can say that

[tex]\angle \: OAD \: = \angle \: OCD[/tex]

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Answer:

true because the center of the triangle is in the middle

The circle has a center at the origin (0, 0) and have a radius of 4 units.

A circle is the locus of a point such that its distance from a fixed point (center) is constant.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

The circle given by the equation:

x² + y² = 16

Hence the center is (0, 0) and the radius is 4 units.

The circle has a center at the origin (0, 0) and have a radius of 4 units.

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The center is (0, 0) and the radius is 4 units.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The base of a solid is s is the region bounded by the circle is;

[tex]\rm x^2+ y^2=16[/tex]

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

On comparing with the standard equation of a circle;

h = 0 , k = 0 and r =4

Hence. the center is (0, 0) and the radius is 4 units.

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Answer:

268

Step-by-step explanation:

Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.

Triangle area=18*(15+6+1) * 1/2, or 189

Rectangle 1= 4*11= 44

Rectangle 2= 7*5= 35

Add all up, get 268

Answer:

{4,-8}

Step-by-step explanation:

x^2 -2x -28 = -6x +4

x^2+4x-32=0

(x-4)(x+8) =0

x=4 or -8

Answer:

The first one

"Only Lillie is correct" that's the right answer.

Step-by-step explanation:

64^2/3 = 16

Answer:

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

Step-by-step explanation:

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.

Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

The formula for calculating the confidence interval for proportion is expressed as:

[tex]p \pm z\sqrt{p(1-p)/n[/tex]

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]

Substitute the values

[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]

Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]

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Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

The percentage of cupcakes sold that day were mocha flavoured will be 57%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

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Answer:

370×1850= 6,84,500

and then

56,950+6,84,500=7,41,450

the population will be 7,41,450

The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.

Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.

Given:

The population of bacteria, P = 56950,

If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,

So, the no doubles 5 times in 1850 hrs,

Now if it doubles 1 time it will be 56950 × 2, and

for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2

P = 1822400

Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.

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Answer:

I'm pretty sure that it's exponential but I'm still going over this topic in class.

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Pls give brainliest ily<3

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

Step-by-step explanation:

The first one is 8

The second one is 4

Answer:

I'm wonde what it is because I like this stuff

The required value of angle x in the given triangle using the sine formula is 61.31

The triangle is shown in the figure, we have to determine the value of angle x in degrees.

To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6

Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°

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Answer:   yes  

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

Given:

The question:

Rate formatted in miles per hour.

Which would be:-

5 miles per 3 hours

= 5/3

Answer: 3:9, 1:3, 12:36

Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.

I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

Answer:

4.5 inches

Step-by-step explanation:

1/15 of 67.5

This is if you are looking for the proportional height. That's all I can solve with given this info.

Answer:

Simplifying th exprsssion brings it down to zero

Hope this helps

Answer:

347 and 865

Step-by-step explanation:

Let the two number be x and y

Therefore, from the given information:

x + y = 1212

x - y = 518

Rewrite both equations to make x the subject:

x = 1212 - y

x = 518 + y

Equate equations and solve for y:

1212 - y = 518 + y

     694 = 2y

         y = 347

Substitute found value of y into one of the equations and solve for x:

x = 518 + 347

x = 865

Therefore, the two numbers are 347 and 865

Answer:

1.  54 and 9/20 km

2. 80 mm

3. 1.142 mi

4.0.83333 cm

Step-by-step explanation:

Do them all  by the butterfly method.

Answer:

19.308

Step-by-step explanation:

The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We assume that the probability of throwing a sum of 10 in a pair of fair dice is

[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]

= 3/36

= 0.083

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Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

Answer:

Five feet

Step-by-step explanation:

H = A ÷ L

H = 65 ÷ 13

H = 5 ft