Ms. Jamie invested $4000 in a bond at a yearly rate of 3.5%. She earned


$350 in interest. How many years was the money invested?

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

Step-by-step explanation:

h = −16(x − 2)² + 72

 =  −16((x − 2)(x − 2)) + 72                   expand the square  (x - 2)² =  (x - 2)(x - x)

 =  -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

  = -16 (x² + (-2x) + (-2x) + (4) ) + 72

  = -16 (x² + (-4x)  + (4) ) + 72

  = -16 (x² - 4x  + 4 ) + 72

  = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

  =   -16x²  + 64x  - 64 + 72

  =   -16x²  + 64x  + 8              My guess is D   ; 72 ???

I have no clue what the  ; 72 means after the given answer.  It must be a standard form thing I never learned.

The equation in standard form  -16x²  + 64x  + 8 and the maximum height of the ball is 72 feet.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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.

We have,

The height h, in feet, of the ball after x seconds is given by the function

h = −16(x − 2)² + 72

Now, simplifying the above expression is

h =  −16((x − 2)(x − 2)) + 72            

h = -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

h = -16 (x² + (-2x) + (-2x) + (4) ) + 72

h = -16 (x² + (-4x)  + (4) ) + 72

h = -16 (x² - 4x  + 4 ) + 72

h = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

h = -16x²  + 64x  - 64 + 72

h = -16x²  + 64x  + 8            

and, the maximum height is 72 feet.

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The truth value of the conditional statement is false

How to determine the truth value of the conditional statement?

The conditional statement is given as

“If a number is greater than -500, then the number is greater than 500.”

The above conditional statement is false

This is because not all numbers greater than -500 are greater than 500

for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.

Hence, the truth value of the conditional statement is false

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Answer:

7e+10 + 9e+8 + 6.7e+4 + 8.99 × 10 to the power of 2 + 1/3.

Step-by-step explanation:

False.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.

So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

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Answer:

6500

Step-by-step explanation:

y = 6500(0.875)^x

When bought x = 0

y = 6500(0.875)^0

A number raise to 0 equals 1

y = 6500 * 1

y = 6500

2 is the correct answer.

The probability that a set of all bulbs work is 0.88.

The total probability rule (also known as the Law of Total Probability) divides probability calculations into discrete steps.

Now, as per the question;

The total number of bulbs be 120 and each bulb is working as independent event.

The reliability of each bulb is 99.9% = 0.999

Let 'p' the probability the bulb will work.

The probability that all will work = p¹²⁰

The probability that all will work = (0.999)¹²⁰ = 0.886

Thus, the probability that all bulb will work is 88.6%.

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Answer:

See the explanation below

Step-by-step explanation:

The independent variable is the time of the visit

The dependent variable is the total service charge, this depends on the amount of time spent working in the house

Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.

Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

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Answer:

y= -3/5x+5

Step-by-step explanation:

im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa

Answer:divideing by the whole number

Step-by-step explanation:

The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

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Answer:

Step-by-step explanation:

the answer would be 10

Answer:

15

Step-by-step explanation:

that's what gogle said

Answer:

15

Step-by-step explanation:

3÷1/5=3×5=15

when you want to divide by a fraction (n/d), flip the numbers and make multiply sign, but make sure always flip the second number (the number after the divide sign) and not the first and change the divide to multiply

Answer:

18, -16, 22, 24

Step-by-step explanation:

(4,-1)

4p - 2q  Substitute 4 for p and 1 for q

4(4) - 2(-1)

16 - (-2)

16+ 2

18

(-3,2)

4p - 2q

4(-3) - 2(2)

-12 - 4

-16

(7,3)

4(7) -2(3)

28 - 6

22

(5,-2)

4(5) - 2(-2)

20 - (-4)

20 + 4

24

The study is investigating the relationship between the exposure to the suspected drug during pregnancy and the risk

of delivering a malformed infant. This study design is a case-control study design.

The resultant data are: forty mothers have taken the suspected drug during their pregnancies. Of these mothers, 35

have delivered malformed infants. In addition, 10 other infants are born with malfunctions," then the answer would be

as follows:

The type of study design that is described in this scenario is a case-control study design.

A case-control study design is a type of observational study design that compares people with a particular condition

(cases) to people without that condition (controls) to determine whether there is a relationship between the exposure

to a suspected risk factor and the development of the condition.

In this scenario, the cases are the 35 mothers who delivered malformed infants, and the controls are the 5 mothers

who did not deliver malformed infants. The study is investigating the relationship between the exposure to the

suspected drug during pregnancy and the risk of delivering a malformed infant. Therefore, this study design is a case

control study design.

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The volume of the cylinder in the diagram is  226.08 m²

The volume of a cylinder of diameter D and height H is:

V = pi*(D/2)²*H

wher pi = 3.14

In the diagram we can see that the cylinder has a diameter of 6 meters and a height of 8 meters, replacing that in the formula above, we can get:

V = 3.14*(6m/2)²*8m

V = 226.08 m²

That is the volume of the cylinder.

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Answer:

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 66π m² (exact)

SA = 207.34 m² (approximate)

Step-by-step explanation:

Since you don't specify what you are looking for, here are the volume and surface area.

Volume:

V = πr²h

Total Surface Area

SA = 2πr² + 2πrh

r = d/2 = 6 m / 2 = 3 m

V = πr²h
V = π × (3 m)² × 8 m

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 2πr² + 2πrh

SA = 2 × π × (3 m)² + 2 × π × 3 m × 8 m

SA = (18π + 48 π) m²

SA = 66π m² (exact)

SA = 207.34 m² (approximate)

To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

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Answer:

True

Step-by-step explanation:hi

The abbreviation used for pounds is "lbs" and for ounces is "oz".

When a baby is born, their weight is measured in pounds and ounces. The weight of a newborn can vary greatly, with an average weight ranging from 5.5 to 10 pounds. Newborns who weigh less than 5.5 pounds are considered small, while those who weigh more than 10 pounds are considered large.
The abbreviation used for pounds is "lbs" and for ounces is "oz". So, for example, a newborn who weighs 7 pounds and 2 ounces would be abbreviated as 7lbs 2oz. This is a common way of expressing a baby's weight, especially in medical settings such as the delivery room or the neonatal intensive care unit.
It is important to keep in mind that a baby's weight can change rapidly during the first few weeks of life. It is not uncommon for a newborn to lose some weight in the first few days after birth as they adjust to feeding. Typically, a baby will regain this weight within a week or two.
Overall, the weight of a newborn is an important factor in determining their health and development. Pediatricians and healthcare providers will monitor a baby's weight closely during their first few weeks of life to ensure that they are growing and developing properly.

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Answer:

a is to the right of b. On a number line the orientation has 0 as the starting number and counts on each whole number integer on to the eight. Therefore if a is greater than b, be will be toward the left and a will be toward the right.

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

The quadratic polynomial 6x² – 7x + 2 has factors (3x – 2) and (2x – 1). Then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic polynomial is 6x² – 7x + 2.

On factorization, we have

6x² – 7x + 2

6x² – (4 + 3)x + 2

6x² – 4x – 3x + 2

2x(3x – 2) –1(3x – 2)

(3x – 2)(2x – 1)

The factor is (3x – 2).

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Answer:

its the first one

Step-by-step explanation:

Answer:

Its 70º

Step-by-step explanation:

Answer:

1,

Step-by-step explanation:

now z also a dk4k ak4 smka 4ml 4 LL

Answer:

Step-by-step explanation:

Answer:

 y = 2x-5

Step-by-step explanation:

Lets look for an equation in the standard form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

A reference line is given:  y=2x+3.  It has a slope of 2.  Parallel lines have the same slope, so the line we are looking for will also have a slope of 3.  We can therefore wrtite what we know sio far.  The new line will be:

                 y = 2x+b

Any vale of b will produce a line that is parallel to the referenc elien.  But we need a line that goes through a given point of (3,1).  By choosingf the correct value of b, we can force the line therough this point.  The easiest way to find b is to use the known point in the equiation we have thuis far, and solve for b:

y = 2x+b

1 = 2*(3)+b  for (3,1)

b = -5

The equation of a line parallel to y=2x+3 and going through point (3,1) is:

   y = 2x-5

See attached graph.