Answer: $200.00
Step-by-step explanation:
$6.95+ $3.00= $19.90
$19.90 * 100= $1,990
$1,990 / $9.95 = $200.00
take the orginal cost 6.95 plus the $3 labor which equals 19.90 then you multiply by the number of bulbs 100 which equals 1990 then divide 1990 by the cost of bulbs 9.95 which equals 200!
PLZ SOMEONE HELP ME ON THIS
9x^2 - 8x - 1 = 0
What are the x intercepts?
the product of two rational numbers
Answer:
'The product of two rational numbers is rational'
Step-by-step explanation:
Statement 'The product of two rational numbers'.
We know that, 'The product of two rational numbers is rational'.
We can prove it,
Let [tex]\frac{a}{b}[/tex] and [tex]\frac{p}{q}[/tex] are two rational number.
Where, a,b,p,q are integers and [tex]b,q\neq 0[/tex]
Now, Product the two rational number
[tex]\frac{a}{b}\times \frac{p}{q}=\frac{ap}{bq}[/tex]
Since, ap and bq are integers and [tex]bq\neq 0[/tex]
Thus, [tex]\frac{ap}{bq}[/tex] is an fraction with integers in the numerator and denominator making it a rational number.
Therefore, 'The product of two rational numbers is rational' is true.
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
In geometry, a chord, radius, diameter, tangent, secant, and the point of tangency are all parts related to a circle. A radius can also be an axis, a minor arc is the smaller arc between two points on a circle, and a major arc is the larger one. These terms help in understanding the properties and relations of lines to a circle.
In the context of circles in geometry, various terms define specific parts or aspects of a circle. Here's what each term represents:
A chord is a straight line segment whose endpoints both lie on the circle.The radius is a straight line from the center of the circle to any point on the circle. In other cases, it can form an axis which bisects a chord (as per a geometry theorem).A diameter is a chord that passes through the center of the circle, and it is also twice the length of the radius. Two radii forming a straight line constitute a diameter.A tangent is a straight line that touches the circle at just one point, this point is known as the point of tangency. A tangent is perpendicular to the radius drawn to the point of tangency.A secant is a straight line that intersects the circle at two points.A minor arc is the shortest arc connecting two endpoints on a circle, and a major arc is the longer arc connecting the same two endpoints. The length of an arc is proportional to the size of its associated angle at the center of the circle.
When drawing or labeling the parts of a circle, it's important to note these definitions. For instance, if given a diagram with a point on the circle labeled 'A' and the center labeled 'O', the segment OA would be a radius. If there's a straight line that touches the circle at point A and doesn't cross through it, that would be your tangent, and point A is the point of tangency. Any straight line through A that crosses through another point on the circle, say, point B, would be a secant, and the line OAB (if extended through O) would be a diameter. The arc's size determines if it is a minor or major arc, depending on whether it is more or less than half the circle's circumference.
Sarah deposits $600 in a savings account that pays 2.5% per year. What is the minimum number of years it would take for the amount in her account to be more than $800, provided no more money is deposited in the account?
It will take at least 12 years for Sarah's $600 deposit at a 2.5% annual interest rate to grow to more than $800, assuming the interest is compounded annually.
To determine how long it will take for Sarah's $600 deposit at a 2.5% annual interest rate to grow to over $800, we can use the formula for compound interest: [tex]A = P(1 + r/n)^{(nt)[/tex], where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for in years.Since the problem doesn't specify the compounding frequency, let's assume it's compounded annually for simplicity:
[tex]A = 600(1 + 0.025)^t[/tex]. We need A to be greater than $800.
To find the minimum number of years (t), we solve for t:
[tex]800 < 600(1 + 0.025)^t[/tex]
Solving for t gives us: t > ln(800/600) / ln(1.025).
Using a calculator, we find that t > 11.89.
Therefore, it will take at least 12 years for the amount in Sarah's account to exceed $800.
HELP ASAP PLEASE!!!!
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below.
P(A) = 0.80 P(B | A) = 0.94 P(B | A' ) = 0.79
P(C | A ∩ B) = 0.76 P(C | A ∩ B' ) = 0.56
P(C | A' ∩ B) = 0.68 P(C | A' ∩ B' ) = 0.33
(c) Compute P(B ∩ C).,
Removing which point from the coordinate plane would make the graph a function of x?
(–4, 3)
(–2, 1)
(0, 4)
(1, 1)
PLEASE HELP ASAP
Find a solution of the linear inequality.
7>(or equal to)4x-5
(3, 4)
(1, 1)
(3, 0)
(2, 1)
The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?
In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector?
Answer:
Let's consider this right triangle described in the picture.
∠ABD = ∠CBD, since BD is a bisector.
Angles ∠ADB and ∠BDC are neighbor angles and their sum is equal to 180°.
∠BDC is an exterior angle and ∠BDC=∠ABD+∠ADB.
Similarly, ∠ADB is an exterior angle and ∠ADB=∠CBD+∠BCD
Step-by-step explanation:
So I tried to answer this the best that I can but I keep getting wrong answers can someone help me I will award brainliest .
WILL GIVE BRAINLIEST, 15 points-The daily number of patients visiting a dentist's office during one week are 8, 41, 35, 39, 36, and 42.
Which statement is true?
The mean, median, and mode are all appropriate measures of center.
Both the mean and median are appropriate measures of center.
The median is the only appropriate measure of center.
Both the median and mode are appropriate measures of center.
Answer: The median is the only appropriate measure of center.
Step-by-step explanation:
The statement is ''Both the median and mode are appropriate measures of center''. Actually, the three, that is, the mean, media and mode can be used to measure the central of tendency. But the MEAN has a problem, it can be Skewed by large values in the distribution/data. Assuming, the days of the week when patients visiting a dentist's office are;
Monday: 8, Tuesday: 41, Wednesday: 35, Thursday: 39, Friday: 36, and Saturday: 42.
And the mean of the distribution = 33.5. Most patients visit the dentist Tuesday to Saturday, where Saturday is the highest. The data is skewed. So, the MEDIAN will do the job perfectly.
For the mode; since we do not have; (1). two highest mode with the same value in the data provided and, (2). the highest value and the second to the highest values are not too far from each other. We can use the MODE here for measuring the central tendency.
===> CONCLUSION: (1). Assuming the data fails the two condition for mode, the most correct statement will be ''The median is the only appropriate measure of center".
===> (2). Also, for this data, the MEDIAN will be the only appropriate measure of center.
Find the volume of the composite space figure to the nearest whole number.
Answer:
The volume is 180 cube cm.
Step-by-step explanation:
By the given diagram,
The composite figure is made by the two cuboids,
First having dimensions, 2 cm × 5 cm × 6 cm,
And second having dimensions, 8 cm × 5 cm × 3 cm,
So, the volume of the given composite figure = the volume of first cuboid + the volume of second cuboid
= 2 × 5 × 6 + 8 × 5 × 3,
= 60 + 120
= 180 cube cm
The volume of the composite space figure to the nearest whole number is: 180 cube cm.
Here, we have,
from the given information, we get,
By the given diagram,
The composite figure is made by the two cuboids,
First having dimensions, 2 cm × 5 cm × 6 cm,
And second having dimensions, 8 cm × 5 cm × 3 cm,
So, the volume of the given composite figure
= the volume of first cuboid + the volume of second cuboid
= 2 × 5 × 6 + 8 × 5 × 3,
= 60 + 120
= 180 cube cm
Hence, the volume of the composite space figure to the nearest whole number is: 180 cube cm.
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Abe has a coupon for $3.50 off a pack of 24 water bottles. The regular price of this pack is $21.98. Is Abe uses his coupon what is the price per bottle.
What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
y=-3x-5
y=-3x+5
y=3x-5
y=3x+5,
The equation of line passes through the points (2, -1) and (5, -10) will be;
⇒ y = - 3x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, -1) and (5, -10)
Now,
Since, The equation of line passes through the points (2, -1) and (5, -10)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 10 - (-1)) / (5 - 2)
m = - 9 / 3
m = - 3
Thus, The equation of line with slope - 3 is,
⇒ y - (-1)= - 3 (x - 2)
⇒ y + 1 = - 3x + 6
⇒ y = - 3x + 6 - 1
⇒ y = - 3x + 5
Therefore, The equation of line passes through the points (2, -1) and
(5, -10) will be;
⇒ y = - 3x + 5
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What is the measure of R to the nearest degree?
R measures 42.8 degrees, which is around average.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
The sine rule states that for a triangle with sides a, b, and c opposite to angles A, B, and C respectively,
a/sinA = b/sinB = c/sinC
Using this rule, we can find the measure of angle R as follows:
a = ST = 30
b = RT = 35
c = RS
Let angle R be opposite to side b.
sinR/sinS = b/c
sinR/sin69 = 35/c
c = 35/sin69 x sinR
Now we can use the sine rule to find c:
a/sinA = b/sinB = c/sinC
30/sin69 = 35/sinR = c/sin42
c = 35/sinR x sin42
Equating the two expressions for c, we get:
35/sin69 x sinR = 35/sinR x sin42
Simplifying this equation, we get:
sinR/sin69 = sin42
sinR = sin69 x sin42
sinR = 0.672
Taking the inverse sine of both sides, we get:
R = sin^{-1}(0.672)
R ≈ 42.8 degrees
Therefore, the measure of angle R is approximately 42.8 degrees.
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find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3}
how do I do this?
1000p for an answer please
a 12-ft-long ladder is leaning against a wall and makes an 80 degree angle with the ground.how high up the wall does the ladder reach, and how far is the base of the ladder from the base of the wall? round to the nearest inch.,
Answer:
The ladder reaches 142 inches and the base of ladder is 25 inches far from the base of the wall.
Step-by-step explanation:
Let us draw a diagram for the given situation.
In the attached figure,
AB = the height of wall where the ladder reaches
AC = ladder
BC = distance of base of ladder from the base of the wall
In triangle ABC,
[tex]\sin C=\frac{AB}{AC}\\\\\sin80=\frac{AB}{12}\\\\AB=12\sin80\\\\AB=11.82[/tex]
And
[tex]\cos C=\frac{BC}{AC}\\\\\cos80=\frac{BC}{12}\\\\BC=12\cos80\\\\BC=2.08[/tex]
Now, 1 feet = 12 inches
Hence, 11.82 ft = 141.84 inches
and 2.08 feet = 24.96 inches
Therefore, in the nearest inches, we have
The ladder reaches 142 inches and the base of ladder is 25 inches far from the base of the wall.
helppppppppppppppppp
1.
(05.08 MC)
Given the equation 1 over x−1 + 2 over x =x over x−1
Part A: What values of x that would make the equation no solution? Why?
Part B: What is the solution of the equation. Show all of your steps.
Max and Maggie have to clean the house. It takes Max 10 hours to clean the house, while Maggie can complete the task in 6 hours. How long will it take for them to work together? Explain each step in solving this equation.
Answer:
a
Step-by-step explanation:
Identify the polynomial. x 3 y 3 monomial binomial trinomial
Answer:
x³y³ is monomial.
Step-by-step explanation:
Given :Polynomial x³y³ .
To find : Identify monomial binomial trinomial.
Solution : We have given that
Polynomial x³y³ .
Monomial : A polynomial with just one term.
Examples : 1) 3xy
2) 5y²x³ Both are monmial .
x³y³ is also a monomial because it has only one term.
Therefore, x³y³ is monomial.
Spray from a lawn sprinkler makes a circle 40 feet and radius what are the approximate diameter circumference and area of the circle of the lawn watered
The approximate diameter of the circle is 80 feet, the circumference is approximately 251.327 feet, and the area is approximately 5026.548 square feet.
To find the diameter, circumference, and area of the circle watered by the lawn sprinkler, we can use the formulas:
1. **Diameter [tex](\(d\)) = \(2 \times \text{radius}\)[/tex]
2. **Circumference [tex](\(C\)) = \(2 \times \pi \times \text{radius}\)[/tex]
3. **Area [tex](\(A\)) = \(\pi \times \text{radius}^2\)[/tex]
Given:
Radius[tex](\(r\)) = 40 feet[/tex]
1. Diameter:
[tex]\[d = 2 \times r\]\[d = 2 \times 40 \text{ feet}\]\[d = 80 \text{ feet}\][/tex]
2. Circumference:
[tex]\[C = 2 \times \pi \times r\]\[C = 2 \times \pi \times 40 \text{ feet}\]\[C \approx 2 \times 3.14159 \times 40 \text{ feet}\]\[C \approx 251.327 \text{ feet}\][/tex]
3. Area:
[tex]\[A = \pi \times r^2\]\[A = 3.14159 \times 40^2 \text{ square feet}\]\[A = 3.14159 \times 1600 \text{ square feet}\]\[A \approx 5026.548 \text{ square feet}\][/tex]
Answer:
The approximate diameter of the circle is 80 feet, the circumference is approximately 251.327 feet, and the area is approximately 5026.548 square feet.
It rained 2/8 inch in one hour. If rained 4/8 inch in the next hour.find the total amount of rain.wrote in simplest form
The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?
Midpoint formula is (x1 + x2)/2 , (y1 + y2)/2 but I keep getting a wrong answer.,
The points at which the quadratic equation intersects the x-axis are referred too
y = 2/3 x + 20
when x = 21 PLEASE EXPLAIN FUNCTION AND SOLUTION
In this problem, you are asked to compute for the value of y when x = 21. The function shows how the value of y changes with the given value of x.
Y = 2/3x + 20
Y = 2/3 (21) + 20
Y = 14 + 20
Y = 34
Answer:
5
Step-by-step explanation:
just trust me
Solve the system of linear equations by elimination. 3x−2y=4 3x−2y=4 6x−2y=−2
A group consists of five five men and eight eight women. seven seven people are selected to attend a conference.
a. in how many ways can seven seven people be selected from this group of thirteen thirteen?
b. in how many ways can seven seven women be selected from the eight eight women?
c. find the probability that the selected group will consist of all women.
a) 116 ways to select seven people.
b) ways to select 7 women.
c) The probability is 0.004662
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
a) Number of ways can seven people be selected from this group of thirteen
C( 13, 7)
= 13! /6! 7!
= 1716
b) Number of ways seven women selected from Eight women
C(8 ,7)
= 8!/ 7! 1!
= 8
c) The probability that the selected group will consist of all women
= 8 / 1716
= 0.004662
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