What is the area of the triangle shown? A triangle has a base labeled four meters and a height labeled seven meters.

The window on the train will be 48 times wider than a window on the model .

In the question ,

it is given that ,

the length of the model train is = 18 inches   and

the length of the exact train is = 72 feet ,

on comparison , we need to convert it into inches .

we know that 1 feet is = 12 inches ,

So , 72 feet is = 72×12 inches = 864 inches

So , the length of the original train is = 864/18 = 48 times the model train .

the ratio will remain same for the width of the window .

So , the window on the train is 48 times wider than a window on the model .

Therefore , the window of the train is 48 times wider.

The given question is incomplete , the complete question is

Your model train is 18 inches long. It is an exact model of a train that is 72 feet long. A window on the train is how many time wider than a window on the model ?

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The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.

The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.

We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,

we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).

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The measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

If the sums of two angles equal 180 degrees, they are said to be supplementary.

However, two angles do not need to be near one another in order to be complementary.

If two angles' measures sum up to 180 degrees, they are said to be supplementary.

A triangle's outside angle complements the neighboring inner angle.

The adjacent internal angle will therefore likewise be 90 degrees if the exterior angle is.

Therefore, the measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

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Correct question:
Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle? Explain in 2-3 sentences.

Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

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1. the z* values based on a standard normal distribution (a) z* = 1.28, (b) z* = 1.39, and (c) z* = 1.75. 2. the z* values based on a standard normal distribution (a) z* = 1.44, (b) z* = 1.64, (c) z* = 2.05

1. (a) For an 80% confidence interval for a proportion, we need to find the z* value that cuts off 10% in each tail. Using a standard normal table or calculator, we find that z* = 1.28.
  (b) For an 82% confidence interval for a slope, we need to find the z* value that cuts off 9% in each tail. Using a standard normal table or calculator, we find that z* = 1.39.
  (c) For a 92% confidence interval for a standard deviation, we need to find the z* value that cuts off 4% in each tail. Using a standard normal table or calculator, we find that z* = 1.75.
2. (a) For an 86% confidence interval for a correlation, we need to find the z* value that cuts off 7% in each tail. Using a standard normal table or calculator, we find that z* = 1.44.
   (b) For a 90% confidence interval for a difference in proportions, we need to find the z* value that cuts off 5% in each tail. Using a standard normal table or calculator, we find that z* = 1.64.
   (c) For a 96% confidence interval for a proportion, we need to find the z* value that cuts off 2% in each tail. Using a standard normal table or calculator, we find that z* = 2.05.

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The value of the missing length is 48

Using the Pythagorean theorem, we have that;

a² = b² + c²

Given that the parameters are;

Substitute the values, we get;

80² = 64² + c²

Find the squares

6400 - 4096 = c²

substract the values

c² = 2304

find the square root

c = 48

Hence, the value is 48

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If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.

In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.

First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.

Finally, you can use the Pythagorean Theorem to find the missing measures.

The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Using this theorem, you can find the length of the hypotenuse of the rectangle.

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Complete Question:

if each quadrilateral is given, then define the steps to find the missing measures a rectangle.

Answer:

I don't please marks me

a) The z-score for a shoe size of 7.5 is approximately -0.4.

b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.

c) The z-score for a shoe size of 9 is approximately 0.8.

d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.

e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.

a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.

b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.

c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.

d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.

e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.

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Answer:

32y^3/9z

Step-by-step explanation:

Answer:

32y/ 9y squared z

Step-by-step explanation:

Hope this helps. I recommend the website wolfram alpha.

The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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Answer:

it would be 20%

Step-by-step explanation:

..........................

The second option is the correct representation of the given context.

A number line is a one-dimensional horizontal line where we can represent any real number.

The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Look at the model, it starts at 125 and drops to 90.

If she has $125 and spends $35 on gas, the remaining balance is reduced by that amount.

125 - 35 = 90.

Q. Holly has $125 she spends $35 on gas for her car which model represents how much money holly has left?

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A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

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Answer:

-6

Step-by-step explanation:

-8p - 34 =6p +50

-8p - 6p =50 +34

-14p =84

p=-84 :14

p=-6

Answer: you are correct for every choice

Answer:

544 miles

Step-by-step explanation:

this problem is a multiplication problem, if one inch is 32 mile, and  San Antonio to El Paso is 17 inches you have to multiply 17 and 32 to get 544 miles

Answer:

544 miles

Step-by-step explanation:

Since 1 inch equals 32 miles, \(17inches\cdot 32miles=544miles\)

No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

2.5 miles per hour

Step-by-step explanation:

\(\frac{1}{4}\times \frac{5}{8}\)

Step 1: Apply the fraction rule: \(\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(\frac{1}{4}\times \frac{5}{8}=\frac{1\times \:5}{4\times \:8}\)

Step 2: Set up the fraction

\(\frac{5\times \:4}{8}\)

Therefore, Oscar's speed is 2.5 miles per hour.

Answer:

A. 4.44years

B. 1.5years

C. Yes

Step-by-step explanation:

a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts

First step is to determine the Annual discount for dead-bolts using this formula

Annual discount for dead-bolts=Discount percent × Annual premium

Let plug in the formula

Annual discount for dead-bolts=0.05 × $450

Annual discount for dead-bolts=$22.50

Now let determine the Recovery period using this formula

Recovery period=Cost of dead-bolts / Annual discount for dead-bolts

Let plug in the formula

Recovery period= (2 × $50)/ $22.50

Recovery period=$100/$22.50

Recovery period= 4.44years

Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years

b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors

First step is to calculate the Annual discount for smoke alarms using this formula

Annual discount for smoke alarms=Discount percent × Annual premium

Let plug in the formula

Annual discount for smoke alarms=0.02 × $450

Annual discount for smoke alarms=$9.00

Now let determine the Recovery period using this formula

Recovery period=Cost of smoke alarms / Annual discount for smoke alarms

Let plug in the formula

Recovery period=(2 × $7) / $9.00

Recovery period=$14/$9.00

Recovery period= 1.5 years

Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years

C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.

The number of people who must be included in the survey, that is, the sample size should be 340.

We assume the sample size to be n.

The confidence interval required is 99%.

The Z-score corresponding to the 99% confidence interval is (Z) 2.58.

The true proportion (p) of the sample is not given, so we assume it to be 50% or 0.5.

The margin of error for the sample (E) is given to be 7% or 0.07.

By the formula of margin of error, we know that:

E = Z√[{p(1 - p)}/n].

Putting in the values, we have, we get:

0.07 = 2.58√[{0.5*0.5}/n],

or, (0.07/2.58)² = 0.25/n,

or, n = 0.25/{(0.07/2.58)²} = 339.6122449 ≈ 340.

Thus, the number of people who must be included in the survey, that is, the sample size should be 340.

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Answer:

$3378.3

Step-by-step explanation:

P= 1500

R= 75

T= 12 years

A= P(1+R/100)^T

A= 1500(1+7/100)^12

A=1500(1.07)^12

A= $3378.3

The polynomial of degree 3 which has 2 + 3i, 2 - 3i and 4 as its zeros is f(x) = (x2 - 4x - 5)(x - 4).

Given that 2 + 3i, 2 - 3i and 4 are the zeros of a polynomial of degree 3. We know that the zeros occur in conjugate pairs because the polynomial has real coefficients. Therefore, the zeros are {2 + 3i, 2 - 3i, 4}.

Multiplying the factors will give the polynomial, which is;f(x) = (x - 2 - 3i)(x - 2 + 3i)(x - 4)f(x) = [(x - 2) - 3i][(x - 2) + 3i](x - 4)f(x) = [(x - 2)2 - (3i)2](x - 4)f(x) = [(x - 2)2 - 9](x - 4)f(x) = (x2 - 4x + 4 - 9)(x - 4)f(x) = (x2 - 4x - 5)(x - 4)

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Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

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Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

(-4,0)

-4 is in the y axis and 0 is in the x axis

Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = \(\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}\)

 =  \(\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}\)

 = \(\frac{-38.2 +- \sqrt{1714.04} }{-19.6}\)

 = \(\frac{-38.2 +- 41.4}{-19.6}\)

 = \(\frac{-79.6}{-19.6}\)

 = 4.1

The rocket will hit the ground at 0.2 seconds

The function is given as:

\(h=-9.8t^2+38.2t+6.5\)

When the missile hits the ground, the value of height is 0

This means that:

\(h = 0\)

So, we have:

\(-9.8t^2+38.2t+6.5 = 0\)

Next, we plot the graph of \(-9.8t^2+38.2t+6.5 = 0\)

See attachment for the graph of \(-9.8t^2+38.2t+6.5 = 0\)

From the attached graph, we have:

\(t = (0.163, -4.061)\)

Approximate

\(t = (0.2, -4.1)\)

Time cannot be negative.

So, we have:

\(t = 0.2\)

Hence, the rocket will hit the ground at 0.2 seconds

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a rhombus is a parallelogram with a pair of opposite equal acute angles, a pair of opposite equal obtuse angles, and four equal sides.

in other words, it is a parallelogram with 4 equal sides, including a square as a special case.

the diagonal intersection point is the midpoint of both diagonals.

the diagonals intersect each other at a right angle (90°).

and they split each vertex angle in half.

so, they split the whole rhombus into 4 equal right-angled triangles.

and remember, the sum of all angles in a triangle is always 180°.

an "obtuse" angle means an angle larger than 90°.

an "acute" angle means an angle smaller than 90°.

because of all that, in the triangle PKE the angle K must be greater than 45° (90/2 = 45), so that the rhombus angle K can be "obtuse", as it must be twice the triangle angle K.

the triangle angle E is 90°.

so, the 16° must be triangle angle P.

and the triangle angle K is then

triangle angle K = 180 - 90 - 16 = 74°.

so, rhombus angle K = rhombus angle N = 2×74 = 148°

and triangle PMN angle N = 74°.

triangle PMN angle M = triangle PMN angle P = 16°.

The midpoints of the given coordinates and the distance between coordinates are calculated below.

1a) Coordinates of midpoint of (-4, 2), (3, 3) is;

Midpoint Coordinate = (-4 + 3)/2, (2 + 3)/2 = (-1/2, 5/2)

1b) Coordinates of midpoint of (-1, 0), (-3, -4) is;

Midpoint Coordinate = (-1 - 3)/2, (-4 + 0)/2 = (-2, -2)

2) One endpoint = (-5, 4)

Midpoint = (-10, -6)

Thus;

Coordinate of other endpoint is;

(-5 + x)/2, (4 + y)/2 = (-10, -6)

-5 + x = -20

x = -15

4 + y = -12

y = -16

(x, y) = (-15, -16)

3) Distance between the two coordinates (-3, 6) and (2, 1) is;

d = √[(2 + 3)² + (1 - 6)²]

d = √100

3b) Distance between the two coordinates (7, 6) and (0, 2) is;

d = √[(0 - 7)² + (2 - 6)²]

d = √64

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Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

Answer:

a

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

then the discriminant

Δ = b² - 4ac

• if b² - 4ac > 0 then 2 real solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

given

\(\frac{3}{4}\) x² - 3x = - 4 ( add 4 to both sides )

\(\frac{3}{4}\) x² - 3x + 4 = 0 ← in standard form

with a = \(\frac{3}{4}\) b = - 3 , c = 4

then

b² - 4ac = (- 3)² - ( 4 × \(\frac{3}{4}\) × 4) = 9 - 12 = - 3

since b² - 4ac < 0 then equation has no real solutions

Answer:

a.  -3; no real solutions.

Step-by-step explanation:

Discriminant

\(\boxed{b^2-4ac }\quad\textsf{when}\:ax^2+bx+c=0\)

\(\textsf{When }\:b^2-4ac > 0 \implies \textsf{two real solutions}.\)

\(\textsf{When }\:b^2-4ac=0 \implies \textsf{one real solution}.\)

\(\textsf{When }\:b^2-4ac < 0 \implies \textsf{no real solutions}.\)

Given equation:

\(\dfrac{3}{4}x^2-3x=-4\)

Add 4 to both sides of the equation so that it is in standard form:

\(\implies \dfrac{3}{4}x^2-3x+4=-4+4\)

\(\implies \dfrac{3}{4}x^2-3x+4=0\)

Therefore, the variables are:

\(a=\dfrac{3}{4}, \quad b=-3, \quad c=4\)

Substitute these values into the discriminant formula to find the value of the discriminant:

\(\begin{aligned}\implies b^2-4ac&=(-3)^2-4\left(\dfrac{3}{4}\right)(4)\\&=9-(3)(4)\\&=9-12\\&=-3\\\end{aligned}\)

Therefore, as -3 < 0, the discriminant is less than zero.

This means there are no real solutions.