The options that are true are (1), (3) and false ones are (2), (4).
What are arithmetic operations?The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.
The given options can be examined one by one as follows,
(1) The given number 20 may be expressed as a mathematical operation as follows:
20 = 10 × 2
Which implies it is two times that of 10.
Thus, it is true.
(2) The given number 10 may be expressed as a mathematical operation as follows:
10 = 20 ÷ 2
Which implies it is half of 20.
Thus, it is false.
(3) The given number 30 may be expressed as a mathematical operation as follows:
30 = 15 × 2
Which implies it is two times that of 15.
Thus, it is true.
(4) The given number 15 may be expressed as a mathematical operation as follows:
15 = 30 ÷ 2
Which implies it is half of 30.
Thus, it is false.
Hence, the true and false options are (1), (3) and (2), (4) respectively.
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Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
find m< 4 in degrees
Answer:
m < 4 = 120
Step-by-step explanation:
When two anlges are supplementary, their angle measures add up to 180, apply this knowledge here;
m<3 + m<4 = 180
60 + m<4 = 180
m<4 = 120
Answer:
120
Step-by-step explanation:
m<3 is 60 and 180-60=120
Graph h(x)=3cos(2x)−1.
Use 3.14 for π.
Step-by-step explanation:
the answer is in the attachment
Answer:
The right answer is in yellow.
Step-by-step explanation:
Took the quiz :)
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
seventeen degrees(17⁰)
Factor to write an equivalent expression for -9x+15y
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
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36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
What is 5/10 = x/100
Answer:
= 50
Step-by-step explanation:
Expression Name
Expression
E
–8 + 4∕7
F
7 – 0.5
G
9 + (–3)
H
3.8 – 6.7
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Answers
A)
H
B)
F
C)
E
D)
G
Answer:
G
Step-by-step explanation:
9+(-3) = 6
What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.
Answer:
The answer is 3.3652
Step-by-step explanation:
Find the number in the thousandth place
5
and look one place to the right for the rounding digit
2
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
3.365
who is right and wrong and why?
Answer:
BMX Ben is correct and Pizza Pete is wrong
Step-by-step explanation:
For Both equations, we must isolate the x, or move everything to one side. So you'd have to add 25 because you have a negative 25 and a negative number plus a positive version of itself equals 0
x-25=7
+25=25
__________
x=32
The second one is incorrect because you are subtracting negative 25 from a 25, which is -50
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.
which one is the answer
Answer:
Two
Step-by-step explanation:
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
I need help. What is an example of data where the Empirical Rule applies?
Answer:
Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.
Here is a diagram of a person standing next to a tree.
The diagram shows two centimeter rulers.
The tree and the person are drawn to the same scale.
The person is approximately 1.75 m tall.
Using the scale diagram, estimate the height of the tree in meters.
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The estimated height of the tree is approximately 5 meters.
To estimate the height of the tree using the scale diagram, we need to compare the height of the person on the diagram to the height of the tree.
Given that the person's height is approximately 1.75 meters, we can use the scale of the diagram to make the estimation.
Let's assume that the scale on the diagram is such that each centimeter on the ruler corresponds to 1.75 meters in real life.
By measuring the height of the person on the diagram using the ruler, let's say it corresponds to 2 centimeters.
Now, using the scale of 1.75 meters per centimeter, we can calculate the estimated height of the tree:
2 centimeters * 1.75 meters/centimeter = 5 meters
Therefore, based on the scale diagram, the estimated height of the tree is approximately 5 meters.
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Q3
Work out the volume of each of these items:
a) a bag of sugar of mass 1000 g and density 1.6 g/cm
b) a packet of margarine with density 2.8 g/cm and mass 250 g
Answer:
Step-by-step explanation:
1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³
:::::
250 g × (1 cm³)/(2.8 g) = 89.3 cm³
all vertical and horizontal cross-sections of any Cube are all the same size and shape what about vertical and horizontal cross-sections of a pyramid are they all the same size are they all the same shape discuss why or why not
Answer:
All the horizontal sections are the same shape like their base, but have different sizes.
All vertical sections through top are triangles, size are different.
The vertical sections not cut through top are 4 sided shapes, sizes are different.
Step-by-step explanation:
An iPhone costs £799 in London, €850 in Paris and $970 in New York.
Using £1 = €1.17 and £1 = $1.42, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
please answer for heart, comment, 5 star rating, and brainliest
Answer:
£683.10 in New York.
Step-by-step explanation:
Given the following data;
iPhone costs in London = £799
iPhone costs in Paris = €850
iPhone costs in New York = $970
£1 = €1.17 and £1 = $1.42
First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).
a. iPhone costs in London = £799
b. iPhone costs in Paris = €850
To find the price in Pounds (£);
£1 = €1.17
iPhone costs in Paris = €850/€1.17
iPhone costs in Paris = £726.50
c. iPhone costs in New York = $970
To find the price in Pounds (£);
£1 = $1.42
iPhone costs in New York = $970/$1.42
iPhone costs in New York = £683.10
Therefore, the lowest price for the iPhone is £683.10
Mrs. Hanley wants to put her 29 students into groups of 6 how many groups of 6 can she make if she puts any remaining students in the smaller group how many students will be in that group. Haley wants to put 29 students into groups of six how many of six can she make if she puts any remaining students in a smaller group how many students will be in
Answer: she can make 4 groups of 6 and there will be 5 left in the other group
Step-by-step explanation: because im right
The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.
What is the polar form of -3 + sq rt 3i?
Answer:
(√12,-π/6)
Step-by-step explanation:
r^2 = 9+3 = 12
tanθ = √3/-3 = -1/√3
Answer:
D
Step-by-step explanation:
Correct on edge
Which shows the simplified form of the expression below? 90y^4-120y-360y^3+30y^2
Show all steps you took to get the answer
Answer:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
Step-by-step explanation:
Given
[tex]90y^4-120y-360y^3+30y^2[/tex]
Required
Simplify
[tex]90y^4-120y-360y^3+30y^2[/tex]
Factor out 30y
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 4 - 12y^2 + y)[/tex]
Reorder the expression
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^3 - 12y^2 +y - 4 )[/tex]
Factorize
[tex]90y^4-120y-360y^3+30y^2 = 30y(3y^2(y - 4) +(y - 4) )[/tex]
Combine the factors
[tex]90y^4-120y-360y^3+30y^2 = 30y((3y^2+1)(y - 4))[/tex]
Rewrite as:
[tex]90y^4-120y-360y^3+30y^2 = 30y((y - 4)(3y^2+1))[/tex]
The measure of this angle is 151. What is the measure of its supplementary angle
Answer:
180-151 = 29 degrees
this is the right answer
Rachel jogged along the trail that was 1/4 of a mile long she jogged along the trail eight times how many miles did Richel jog
Answer:
Step-by-step explanation:
8 laps × (¼ mile)/lap = 2 miles
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answer:
2.56
Step-by-step explanation:
What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answer : -302.6
Step-by-step explanation:
Find all real square roots of -36
Answer:
The answer is ±6.
Step-by-step explanation:
The positive and negative square roots of 36 are 6. and −6. Both 6, and −6 are square roots of 36 since they both give 36 when squared:...
6^2=6×6=36
(−6)2=(−6)×(−6)=36
All positive real numbers have a positive and negative real square root which are additive inverses of one another.
The principal square root is the positive one and is the one meant when we use the √... symbol. So:...
√36=6
If we want to refer to the negative square root, then just put a minus sign in front:...
−√36=−6
The two square roots of -36 are 6i and -6i, where i is the imaginary unit.
What is Number system?A number system is defined as a system of writing to express numbers.
Since the square of any real number is always non-negative, there is no real number whose square is equal to a negative number.
Therefore, the expression √(-36) has no real square roots.
However, we can express the square root of -36 using imaginary numbers.
By definition, the imaginary unit "i" is equal to the square root of -1. Using this definition, we can rewrite √(-36) as:
√(-36) = √(36) × √(-1) = 6i
Therefore, the two square roots of -36 are 6i and -6i, where i is the imaginary unit.
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