Answer:
d. Carrying a notebook and immediately recording all of her transactions in it.
Step-by-step explanation:
The correct answer is option D.
What is bank statement?A bank statement is a document that is typically sent by the bank to the account holder every month, summarizing all the transactions of an account during the month.
Bank statements contain bank account information, such as account number and a detailed list of deposits and withdrawals.
Cassandra's best option would probably be carrying a notebook and immediately recording all of her transactions in it.
Since she does not like to do a lot of heavy thinking when she gets home, and tends to lose pieces of paper, this method is ideal because it would allow her to consolidate all her purchase records in one notebook, eliminating the need to carry receipts, and recording them immediately will make it so she can relax when she gets home.
Perhaps once a month, she can compile all of her notebook activity into a computer program and reconcile it to her bank statements.
Hence, the correct option is D.
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If f(x) = ∣(x2 − 8)∣, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?
First let us find the slope of the straight line formed when x1 = 0 to x2 = 2.5.
y = x^2 – 8
y1 = 0^2 – 8 = - 8
y2 = 2.5^2 – 8 = -1.75
The formula for finding the slope is:
m = (y2 – y1) / (x2 – x1)
m = (-1.75- (- 8)) / (2.5 – 0)
m = 2.5
The mean value theorem states that the slope must be 2.5 at least once between x1 = 0 to x2 = 2.5.
Taking the 1st derivative (slope) of the equation:
dy / dx = 2x
Since dy / dx = m = 2.5
2x = 2.5
x = 1.25
Therefore the answer is: One number at x = 1.25
Chelsea made 15 of the 28 recipes she downloaded from the Internet. What percent of the recipes did she make?
Final answer:
Chelsea made 15 out of 28 recipes she downloaded from the Internet, which translates to approximately 54% of the recipes when calculated using the percentage formula: (Part/Total) × 100.
Explanation:
To find out what percent of the recipes Chelsea made, we will use the formula for calculating the percentage:
Percentage = (Part/Total) × 100
Here, the part is the number of recipes she made, and the total is the number of recipes she downloaded. Chelsea made 15 recipes out of 28. So we set it up like this:
Percentage = (15/28) × 100
Solution:
Percentage = (15/28) × 100
Percentage = 0.5357... x 100
Percentage = 53.57...
When you round to the nearest whole number, Chelsea made approximately 54% of the recipes.
Chelsea made approximately 53.57% of the recipes from the Internet, totaling 15 out of 28 recipes.
To find the percentage of recipes Chelsea made, follow these steps:
Step 1: Calculate the fraction of recipes she made.
Fraction made = (Number of recipes made) / (Total number of recipes)
= 15 / 28
Step 2: Convert the fraction to a percentage.
Percentage = Fraction * 100
= (15 / 28) * 100
Step 3: Perform the calculation.
Percentage = (15 / 28) * 100
≈ 53.57%
So, Chelsea made approximately 53.57% of the recipes.
Find the area of the quadrilateral in the figure
In the given figure the area of quadrilateral is 19.64 square units.
Option (C) is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180.
In the given figure,
A quadrilateral is shown.
The quadrilateral can be seen as two triangles,
One triangle whose sides are 6, 6 and 5
And second triangle whose sides are 3, 4, and 5.
In first triangle, use Heron's formula to find the area,
The area of triangle = √ S.(S- a).(S -b).(S-c)
The semi perimeter of triangle = 6 + 6 +5 / 2 = 17 / 2 = 8.5
Area = √ 8.5 x (8.5 - 6) x (8.5 - 6) x (8.5 - 5)
= √8.5 x 2.5 x 2.5 x 3.5
= 13.635
The second triangle whose side are 3, 4 and 5, makes a right angle.
The area of second triangle = 1/2 x base x height = 1/2 x 4 x 3 = 6
Total area = 13.635 6 + 6 = 19.635
The required area of quadrilateral is 19.635 square units.
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a rectangle has an area of 12m and a width of 400cm. what is the length?
9.1 ÷ 3576 long division
Answer: the answer is 0.00254474272
goooood luck
What is the surface area of a cone with a diameter of 28 cm. and height 22 cm in terms of Ï.
196Ï cm2
365Ï cm2
561.1Ï cm2
2202.8Ï cm2
To find the surface area of a cone, use this formula.
pi (r) (r + [square root of h^2 plus r^2] ) substitute
h = height = 22 r = radius = 28/2 = 14 [ ] = sq. root
pi (14) (14 + [ 22^2 + 14^2 ]) solve exponents
pi (14) (14 + [484 + 196]) add
pi (14) (14 + [680]) solve square root
pi (14) (14 + 2[170]) add
pi (14) (40.0768) multiply
pi (561.075) is about 561.1 rounded to nearest tenth
So the answer is C. 561.1pi cm^2
What is the area of the rectangle shown on the coordinate plane?
Every day, about 140,000,000 plastic water bottles are bought in the United States. Each bottle is about 0.25 meters long, and the equator of the Earth is about 40,000,000 meters around.
How many times can the Earth's equator be circled by a line of plastic bottles used in the United States every day?
Answer:
0.875 times Earth's equator is circled by plastic bottles every day.
Step-by-step explanation:
Given: No of plastic water bottles every day = 140,000,000
Length of a bottle = 0.25 m
length of equator of earth = 40,000,000 m
To find: no times Earth's equator is circled by line of bottles every day
No of plastic water bottles every day = 140,000,000
Length of 1 plastic water bottle = 0.25m
⇒ Length of 140,000,000 plastic bottles = 0.25 × 140000000
= 35000000 m
No. of times Earth's Equator is circled by bottles = [tex]\frac{35000000}{400000000}[/tex]
= 0.875
Therefore, 0.875 times Earth's equator is circled by plastic bottles every day.
Answer:
0.875
Step-by-step explanation:
A positive integer is 47 more than 9 times another. their product is 18601860. find the two integers.
In an isosceles triangle the base angles are congruent. True False
Cylindrical coordinates? Hi,
I am having problems with a homework question,
I am asked to sketch the solid by the given inequalities.
0 <= theta <= pi/2 and r <= z <= 2
How do I find r?
If possible please guide me to the answer instead of giving it to me. I need to know this stuff.
Thanks in advance for any help.
The sum of a certain number and 3 times the number is 40. what is the number?
The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The sum of a certain number and 3 times the number is 40
Let the number is x
From the question, we can frame a linear equation in one variable
3x + x = 40
Adding like terms:
4x = 40
Divide by 4 into both sides
x = 40/4
x = 10
Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
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Name all sets of numbers to which each real number belongs
Wendy wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below:
In favor Opposed Undecided
Grade 9 4 7 7
Grade 10 9 11 5
Grade 11 12 13 5
Grade 12 10 5 12
If the principal randomly selects a student in grade 12 from this survey, what is the probability that the student is in favor of extending the school day?
Answers:
0.37
0.27
0.49
0.52
Answer:
0.37
Step-by-step explanation:
AB=diameter of the circle O. OC=radius. Arc AXB is an arc of the circle with centre C. Prove areas of the shaded region are =
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.
A = P(1-r)^t
A = 3900(1-0.08)^10
A = 3900(0.92)^10
A = 3900(0.434388454)
A = 1694.11
1694 square km
Find the sum of the solutions of this equation 20x^2-39x-80=0
Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
Take a look at the table of possible outcomes when a pair of fair dice is rolled. What is the probability that the sum of the numbers rolled is either even or a multiple of 5?
Answer:
He is correct
Step-by-step explanation:
Select the postulate or theorem that you can use to conclude that triangles are similar.
Answer:
AA similarity postulate.
Step-by-step explanation:
Two triangles which are of same shape are called similar triangles.
In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.
In the given figure:
m∠P==m∠L=90°
m∠J=m∠M.
Two angles are equal .
The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .
Answer :AA similarity postulate.
Answer:
AA
Step-by-step explanation:
Best explained and correct answer gets brainliest.
value = 45 x (1+0.015)^15
45 x 1.015^15=
45 * 1.25 = 56.26
answer is B $56.26
Round to the nearest hundredth.
Factor k 2 + 13k + 12.
Answer:
The factors of the given polynomial are : (k + 1)(k + 12)
Step-by-step explanation:
The quadratic equation which is needed to be factorized is given as :
k² + 13k + 12
In order to factorize this, arrange 13k in such a way that the product of its factors equals to 12k² ⇒ 13k = 12k + k
⇒ k² + 13k + 12
⇒ k² + k + 12k + 12
⇒ k(k + 1) + 12(k + 1)
⇒ (k + 1)(k + 12)
Hence, The factors of the given polynomial are : (k + 1)(k + 12)
Which equation represents the vertical asymptote of the graph?
In this question, with the help of the graph we have to find the vertical asymptote .
First let's check out what is vertical asymptote .
Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.
And in the graph, the function approaches to 12 but never touches it .
So the vertical asymptote is x=12 .
The equation which represents the vertical asymptote of the graph given is; x =12.
The Vertical Asymptote of a graphThe vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.
By observation, the line x=12 separates the curves and both curves do not touch the line.
Ultimately, the line x=12 is the vertical asymptote of the given graph.Read more on vertical asymptote;
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if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.
Final answer:
To find the length of the longer side of the parallelogram, you can use the law of cosines.
Explanation:
To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.
In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.
Letting 'a' be the length of the longer side, we can set up the equation:
a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304
a=17.43
The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).
h=B3Vh=B3V
h=V3Bh=V3B
h=3VBh=3VB
h=3BV
To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.
The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.
Starting with V = 1/3Bh, we want to isolate h:
Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.
Next, divide both sides by B to solve for h: h = 3V/B.
The correct formula to solve for height is h = 3V/B.
Choose one of the factors of x3 + 343
Find the circumference of a pizza if the diameter is 10 inches.
0.314 in.
3.14 in.
3.04 in.
31.4 in.
Answer: 31.4 in.
Step-by-step explanation:
We know that the circumference of the circle is given by :-
[tex]C=\pi d[/tex], where d is the diameter of the circle.
Given : The diameter of the pizza = 10 inches
Then the circumference of the pizza will be :-
[tex]C=\pi (10)[/tex]
We put the value of [tex]\pi =3.14[/tex], we get
[tex]C=3.14 (10)=31.4[/tex]
Hence, the circumference of a pizza is 31.4 in.