Find the volume of the composite figure.

The number of times that 9 go into 28 is 3 times with a remainder of 1.

Given the divisor and dividend in the question;

28 ÷ 9

Set up the division problem in a long division format

divisor Γdividend

9Γ28

Divide 28 by 9, place the digit in the quotient on top of the division symbol.

   3

9Γ28

Multiply the newest quotient digit (3 )by the divisor (9)
   3

9Γ28

   27

Subtract 27 from 28

   3

9Γ28

   27

----------

      1

Therefore, the result of the division is 3 with a remainder o 1.

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25% percent of Amanda's day was spent on either meals or homework.

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Answer:

which graph best represents y = -x2 + 6x - 1?

Step-by-step explanation:

hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( 3 , 8 )

Focus:  ( 3 , 31 /4 )

Axis of Symmetry:  x = 3

Directrix:  y = 33/4

x                      y

1                      4

2                     7

3                     8

4                     7

5                     4

Step-by-step explanation:

Below is a picture of the graph

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

(1) exponent, (2) base

Step-by-step explanation:

An exponent is a quantity that represents the power to which a given number is to be raised.

A base can be any whole number greater than 0.

The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.

The surface area of this rectangular prism = 2( lb + bh + hl)

  = 2( 26 x 10 + 10 x 8 + 26 x 8)

  = 2(260 + 80 + 208)

  = 2 x 548

  = 1096

Thus, The surface area of this rectangular prism is 1096 square inches.

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Step-by-step explanation:

circular permutations of n objects =(n-1)!

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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After four years, Arianna will have a total of $60 in her savings account.

What is Compound Interest ?

Compound interest is interest that is calculated not only on the initial principal amount, but also on the accumulated interest of previous periods. In other words, the interest earned is added to the principal amount and then the interest for the next period is calculated based on the new total amount, which includes both the principal and the previously earned interest.

For example, if you deposit $1,000 in a savings account with a 5% annual interest rate, and the interest is compounded annually, at the end of the first year, you would earn $50 in interest, and your balance would be $1,050. If you leave the money in the account and don't make any further deposits or withdrawals, in the second year, you would earn interest not only on the original $1,000, but also on the $50 in interest earned in the first year, which would be a total of $52.50 in interest. Your new balance at the end of the second year would be $1,102.50.

The power of compound interest lies in the fact that the interest earned in each period is added to the principal, so the amount of interest earned in each subsequent period increases, resulting in a larger and larger balance over time.

Since the interest is not compounded, the interest earned each year will be the same, and it can be calculated as:

Interest earned each year = Principal * Annual interest rate

So for Arianna, the interest earned each year will be:

Interest earned each year = $50 * 0.05 = $2.50

After one year, Arianna will have $50 + $2.50 = $52.50

After two years, she will have $52.50 + $2.50 = $55

After three years, she will have $55 + $2.50 = $57.50

After four years, she will have $57.50 + $2.50 = $60

Therefore, after four years, Arianna will have a total of $60 in her savings account.

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Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The probability of the event between two and five lines, inclusive, are in use is 0.85.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that,

x         0         1         2       3        4         5         6

p(x)   0.12    0.18   0.20  0.20  0.20   0.07   0.03

a) At most three lines are in use

Here we need to find the probability for x≤3.

P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)

= 0.12+0.18+0.20+0.20

= 0.70

b) Fewer than three lines are in use

Here we need to find the probability for x<3.

P(x<3)=P(x=0)+P(x=1)+P(x=2)

= 0.12+0.18+0.20

= 0.50

c) At least three lines are in use

Here we need to find the probability for x≥3.

P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)

= 0.20+0.20+0.07+0.03

= 0.50

d) Between two and five lines, inclusive, are in use

Here we need to find the probability for 2≤x≤5.

P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)

= 0.18+0.20+0.20+0.20+0.07

= 0.85

Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.

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Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out.

The range is the difference between the largest number and the smallest number in a dataset. The interquartile range is the difference between the first quartile and the third quartile of a dataset.

Range and interquartile range are used to measure the spread of a dataset. The higher range and interquartile range is, the greater the spread and variability of the dataset.

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Hey there! I happy to help!

Here's how to find the distance between any two points.

Find the difference between the x values.

-4-3=-7

Square it.

-7²=49

Find the difference of the y values.

6-(-7)=6+7=13

Square that.

13²=169

Add up the two numbers you got.

169+49=218

And square root it.

√218≈14.76.

Have a wonderful day! :D

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Answer:

Step-by-step explanation:

Answer:

\((x^{2} -10)(x^{2} +3)\)

Step-by-step explanation:

The angle ∠G will be 140° for the given curve.

An arc is a section of a circle's or curve's boundary in mathematics. It is additionally known as an open curve. The circumference also referred to as the perimeter, is the measurement around a circle that defines its edge.

Given that the angle ∠I is equal to 70°. The value of angle G will be calculated by the angle of the arc theorem.

One-half the size of the central angle is the size of an angle that is inscribed in a circle. Congruent inscribed angles are those that intersect the same arc.

∠I = ( 1 / 2 ) x ∠G

∠G = 2 x ∠I

∠G = 2 x 70

∠G = 140

Hence, the angle ∠G will be 140.

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The smallest number of students who go to one of these clubs is 21.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."

Therefore, the smallest number of students who go to one of these clubs is 21.

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The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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Answer:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks

Answer:

a) If interest rates go up, share prices go down : this will be assigned p→q

b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r)

c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q)

d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park.  P → (q∨r)

e) My sister wants a black and white cat. p∧q

Step-by-step explanation:

A statement  is said to be propositionally logical if the statement that can be assigned either true or false.

∧and

∨or

¬not

→implies

a) If interest rates go up, share prices go down : this will be assigned p→q implies because the occurrence of event (share prices go down) depends on the possibility of the other event happening.

b) If Smith has installed central heating, then he has sold his car or he has not paid his mortgage. P → (q∨￢r) : either of the two of the other events (i.e. he has sold his car or he has not paid his mortgage ) can only occur if the first event occur

c) Today it will rain or shine, but not both:(p∨q) ∨ ￢(p∧q) : either of the events can occur but not both i.e. they are mutually exclusive

d) If Sam met Jane yesterday, they had a cup of coffee together, or they took a walk in the park.  P → (q∨r) either of the two of the other events (i.e. they had a cup of coffee together or they took a walk in the park ) can only occur if the first event (Sam met Jane yesterday) occur

e) My sister wants a black and white cat. p∧q : both events can only occur together

Answer:

4x^2 +5x -21

Step-by-step explanation:

(x+3) * (4x-7)

FOIL

first : x*4x = 4x^2

outer: -7x

inner: 3*4x =12x

last: -7*3 = -21

Add them together : 4x^2 -7x+12x -21

Combine like terms : 4x^2 +5x -21

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

x = -2.25

Step-by-step explanation:

Answer:

x = -2.25

Step-by-step explanation:

Add 15 to both sides of the equation

-6x - 15 = -1.5

-6x-15+15=-1.5+15

Simplify

-6x = 13.5

Divide both sides of the equation by the same term

-6x/6 = 13.5/6

Simplify

x = -2.25

Answer:

2^2* 5^2.

Step-by-step explanation:

2)100

2)  50

5) 25

      5

100 = 2*2*5*5.

= 2^2* 5^2.

Answer:

15,659,568

Step-by-step explanation:

To calculate the expression 2308208 * 12 - 12038928, we can follow the order of operations (PEMDAS/BODMAS):

1. Multiply: 2308208 * 12 = 27698496

2. Subtract: 27698496 - 12038928 = 15659568

Therefore, 2308208 * 12 - 12038928 equals 15,659,568.