To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:
1. Reflect A over the y-axis to get A': (-2, 2)
2. Reflect A' over the x-axis to get A'': (-2, -2)
Therefore, the new point A'' is (-2, -2).
This is the equation of a horizontal hyperbola. True or false
Answer:
Step-by-step explanation:
True
2. Marshall wants to save at least $175
for a new video game system and
some games. So far, he has saved
$68.50.
Part A
Write an inequality to represent the
amount of money, a, that Marshall still
needs to save.
Let's assume that the video game system and games cost a total of $x. Marshall has saved $68.50 so far. To represent the amount of money, a, that Marshall still needs to save, we can write the following inequality:
a ≥ x - 68.50
This inequality states that the amount Marshall still needs to save (a) must be greater than or equal to the cost of the video game system and games (x) minus the amount he has already saved ($68.50).
Find the indicated measure.
Radius of OM M 89° L K A = 12.36 m²
The radius of circle M is equal to 3.99 cm.
How to calculate the area of a sector?In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:
Area of sector = θπr²/360
Where:
r represents the radius of a circle.θ represents the central angle.By substituting the given parameters into the area of a sector formula, we have the following;
Area of sector = θπr²/360
12.36 = 89(3.142/360) × r²
12.36 = 0.7768r²
Radius, r = √15.9114
Radius, r = 3.99 cm.
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The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.
A(t)=647(1/2)^1/30
Find the amount of the sample remaining after 10 years and after 80 years.
Round your answers to the nearest gram as necessary.
Amount after 10 years: ? grams
Amount after 80 years: ? grams
The amount of the sample remaining after 10 years is approximately 514 grams.
The amount of the sample remaining after 80 years is approximately 102 grams.
How to find the numbers remakingUsing the exponential function given by in the problem as
A(t) = 647 (1/2) ^ (1/30 x t) the numbers remaining are calculated
For 10 years
substitute t = 10
A(10) = 647 * (1/2)^(1/30 * 10)
A(10) = 647 * (1/2)^(1/3)
A(10) ≈ 647 * 0.7937
A(10) ≈ 513.52 grams
A(10) ≈ 514 grams to the nearest gram
For 80 years
substitute t = 80
A(80) = 647 * (1/2)^(1/30 * 80)
A(80) = 647 * (1/2)^(8/3)
A(80) ≈ 647 * 0.1575
A(80) ≈ 101.9025 grams
A(80) ≈ 102 grams to the nearest gram
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75% of Brannan's class attended her twelfth birthday party. If there are 24 students in her class, how many came to the party?
If 75% of Brannan's class attended her twelfth birthday party, we can find the number of students who came to the party by multiplying the total number of students in the class by the percentage that attended.
First, we need to convert 75% to a decimal by dividing by 100:
75% = 75/100 = 0.75
Next, we can multiply the total number of students in the class by the decimal that represents the percentage who attended:
Number of students who came to the party = 0.75 * 24
Number of students who came to the party = 18
Therefore, 18 students came to Brannan's twelfth birthday party.
A diagram of a spaceship ozone shield is shown below. Find the volume of the figure. Figure not drawn to scale. Use π= 7 /22 and round your answer to the nearest tenth.
The volume of the given composite figure is: 1,283.33 ft³
How to find the Volume of the Composite figure?The given composite figure is made up of a cone and a cylinder.
The formula for the volume of a cone is:
V = ¹/₃πr²h
Where:
r is radius
h is height
The formula for volume of a cylinder is:
V = πr²h
Where:
r is radius
h is height
Thus:
Total volume of composite figure is:
V = (¹/₃* (22/7) * 7² * 7) + ((22/7) * 7² * 6)
V = 359.33 + 924
V = 1,283.33 ft³
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HELP ASAP ASAP PLS PLS ALSO BRAINLIEST
A family recipe calls for sauce and oregano. The table below shows the parts of sauce to oregano used to make the recipe.
Servings Sauce (cups) Oregano (tsp)
4 8 one half
6
At this rate, how much sauce and oregano will be needed to make 6 servings?
The recipe will need 12 cups of sauce and three fourths teaspoons of oregano for 8 servings.
The recipe will need 12 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and three fourths teaspoons of oregano for 8 servings.
The amounts needed to make 6 servings are given as follows:
Sauce: 12 servings.
Oregano: 3/4 teaspoons.
Here, we have,
The needed amounts to make 6 servings of the recipe are obtained applying the proportions in the context of the problem.
From the first line of the table, we get the amounts of sauce and oregano per serving are follows:
Sauce: 8/4 = 2 cups.
Oregano: 0.5/4 = 1/8 teaspoons per serving.
Hence the amounts for six servings are given as follows:
Sauce: 6 x 2 = 12 servings.
Oregano: 6 x 1/8 = 6/8 = 3/4 teaspoons.
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Order the numbers from greatest to least based on their absolute value.
|−25
|, |0.5|, |−34
|, |0.35|
Responses
A |0.5| > |0.35| > |−25
| > |−34
||0.5| > |0.35| > |− 2 5 | > |− 3 4 |
B |0.5| > |−25
| > |−34
| > |0.35|,|0.5| > |− 2 5 | > |− 3 4 | > |0.35|,
C |−34
| > |−25
| > |0.35| > |0.5||− 3 4 | > |− 2 5 | > |0.35| > |0.5|
D |−34
| > |0.5| > |−25
| > |0.35||− 3 4 | > |0.5| > |− 2 5 | > |0.35|
The numbers arranged from greatest to least based on their absolute value is; |-34|, |-25|, |0.5|, |0.35|
What are absolute values?The absolute value of a number is the expression or value of the distance of the number from 0 on the number line.
The numbers are; |-25|, |0.5|, |-34|, |0.35|
The absolute value of a number is positive, which indicates;
|-25| = 25
|0.5| = 0.5
|-34| = 34
|0.35| = 0.35
The above numbers arranged from greatest to least is therefore;
34 > 25 > 0.5 > 0.35
The numbers arranged from greatest to least based on their absolute value is therefore;
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Given that f(x) = x²+2x-8 and g(x) =x-2, find (f+g)(x) and express the
Answer: (f+g)(x) = x² + 3x - 10
Step-by-step explanation:
What is required in order to determine whether or not an object moves?
O a reference point
O distance
O displacement
O standard units
ہے
Answer: The correct answer is option A. a reference point.
Step-by-step explanation:
An reference point is required to determine whether or not an object moves.
I need to know the slop and how to do it pls!!!
Answer:
The slope is [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
the slope is the number before the x.
Helping in the name of Jesus.
10 points!
Please explain how you reached your answer!!
(Question 3)
Answer: c
Step-by-step explanation: I’m smart
In the figure below, m <2=49
The measure of angles ∠1, ∠3, and ∠4 will be 131°, 131°, and 49°, respectively.
Given that:
∠2 = 49°
The measure of angle ∠1 is calculated as,
∠1 + ∠2 = 180°
∠1 + 49° = 180°
∠1 = 131°
The measure of the angles ∠3 and ∠4 is calculated as,
∠3 = ∠1
∠3 = 131°
∠4 = ∠2
∠4 = 49°
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What is the surface area of the
triangular prism shown?
14 m
10 m
A. 558 m²
B. 976 m²
25 m
24 m
25 m
C. 1,680 m²
D. 1,750 m²
10
The calculated surface area of the triangular prism is 976 square meters
Calculating the surface area of the triangular prism?From the question, we have the following parameters that can be used in our computation:
The dimensions of the triangular prism
The surface area of the triangular prism is the sum of the individual shapes
So, we have the following formula
Surface area = Area of rectangle + Area of the 2 triangles + Area of the 2 rectangles
Using the dimensions, we have
Surface area = 10 * 14 + 2 * 1/2 * 24 * 14 + 2 * 25 * 10
Evaluate
Surface area = 976
Hence, the surface area is 976
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may i have the different proofs for this thank you
The proof for AB ≅ CD is:
Step Statement Reason
1 ∠B ≅ ∠D, BC || AD Given
2 ∠BCA ≅ ∠CAD Alternate Interior angles
3 AC ≅ AC common side
4 ΔABC ≅ ΔADC Angle-Angle-Side rule of congruency
5 AB ≅ CD Corresponding sides of congruent triangle
Consider triangle ABC and triangle ADC.
Here, side BC is parallel to side AD.
From the attached figure we can observe that AC is a transversal.
so, ∠BCA and ∠CAD would be alternate angles formed by two parallel lines and transversal.
By property of Alternate Interior angles,
∠BCA ≅ ∠CAD
Also, we can observe that side AC is common side to ΔABC and ΔADC.
We rewrite this proof as,
Step Statement Reason
1 ∠B ≅ ∠D, BC || AD Given
2 ∠BCA ≅ ∠CAD Alternate Interior angles
3 AC ≅ AC common side
4 ΔABC ≅ ΔADC Angle-Angle-Side rule of congruency
5 AB ≅ CD Corresponding sides of congruent triangle
This is the required proof.
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If 5, x, y, and 40 are in geometric progression find x and y respectively
The missing terms in the geometric progression given are:
x = 10 y = 20
What is a Geometric Progression?The nth term of a Geometric progression is expressed by the formula:
an = ar^(n - 1)
Where we have:
an = nth term
a = first term of the geometric progression
n = number of terms
r = common ratio
We are given the geometric progression 5, x, y, and 40, where:
a1 = 5
a4 = 40
Therefore, we have:
40 = 5 * r^(4 - 1)
40 = 5 * r³
40/5 = r³
8 = r³
r = ∛8
r = 2
Since we know a and r, find the 2nd and 3rd which are represented by x and y respectively, by applying an = ar^(n - 1):
a2 = 5 * 2^(2 - 1)
a2 = 5 * 2^1
a2 = 10
x = 10
a3 = 5 * 2^(3 - 1)
a3 = 5 * 2²
a3 = 20
y = 20
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given a function,how can the domain be determined
The domain of a function can be determined by getting the set of input values of the function it can take
How can the domain of a function be determinedFrom the question, we have the following parameters that can be used in our computation:
The definition of a function
As a general rule
The domain of a function is the set of input values of the function
Take for instance, the domain of y = x + 2 is all real number
This is so because it can accept all real numbers as its input
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Please help!! Will reward brainliest
The set that could not represent the side of a right triangle are {27, 36, 46}.
How to find the sides of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.
Therefore, using Pythagoras's theorem,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore, the hypotenuse is the longest side of the right angle triangle.
27² + 36² ≠ 46²
729 + 1296 ≠ 2116
2025 ≠ 2116
Hence, the sides that can't form a right triangle is {27, 36, 46}
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Given the polynomial f(x)=3x3-4x2-3x-1, what is the smallest positive integer a such that the intermediate value theorem guarantees a zero exist between zero and a
The smallest positive integer a that satisfies the conditions of the problem is a = 2.
The Intermediate Value Theorem states that if a function f(x) is continuous on the interval [a, b] and takes on values f(a) and f(b) at the endpoints a and b, respectively, then for any value c between f(a) and f(b), there exists at least one value x in the interval [a, b] such that f(x) = c.
In this problem, we are asked to find the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a for the polynomial f(x) = 3x³ - 4x² - 3x - 1.
To find this value of a, we need to evaluate f(0) and f(a) and look for a value of a such that f(0) and f(a) have opposite signs. This will guarantee the existence of a root of f(x) between 0 and a.
Evaluating f(0), we get:
f(0) = 3(0)³ - 4(0)² - 3(0) - 1 = -1
To find f(a), we need to solve for a using the equation f(a) = 0. We can use a numerical method, such as the Newton-Raphson method or the bisection method, to find the root of f(x) = 0. Using a calculator or a computer program, we find that f(a) = 0 for a ≈ 1.353.
Since f(0) = -1 and f(a) = 0 have opposite signs, the Intermediate Value Theorem guarantees the existence of at least one zero of f(x) between 0 and a = 1.353. Therefore, the smallest positive integer a that satisfies the conditions of the problem is a = 2.
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7. Jada makes sparkling juice by mixing 3 cups of sparkling water
with every 5 cups of apple juice.
a)how much sparkling water does Jada need if she uses 20 cups of Apple juice?
b)how much apple juice does Jada need if she uses 9 cups of sparkling water?
c)Plot the pairs of measurements as points on the graph
The 3 : 5 ratio of the number of cups of sparkling water to the number of cups of apple juice indicates;
7. a) 12 cups of sparkling water
b) 15 cups of apple juice
c) Please find attached the required graph of the pairs of measurements, which are plotted as points using MS Excel
What is a ratio?A ratio expresses the quantitative relationship between two quantities, and it is obtained by dividing the quantity of one by the other.
7. The ratio of the number of cups of sparkling water to the number of cups of apple juice = 3 to 5
a) Where the number of cups of apple juice = 20, we get;
20 = 4 × 5
Therefore, the number of cups of apple juice in the current mixture is 4 times the amount that is mixed with 3 cups of sparkling water
The amount of sparkling water Jada needs = 4 × 3 cups = 12 cupsb) 9 cups of sparkling water is 3 times the amount required per 5 cups of apple juice
The amount of apple juice Jada needs = 3 × 5 cups = 15 cupsc) The plot of the points can be presented as follows;
(3, 5), (9, 15), (12, 20)
Please find attached the graph showing the pairs of measurements, plotted as points, created with MS Excel
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The recommended dosage of oxacillin is 35 mg/kg/day to be administered q6hr. The child weighs 10 kg. The total daily dose would be:
The amount for one dose of IV vancomycin for this child is 350 mg.
The recommended dosage of IV vancomycin is 40 mg/kg/day divided q6h.
The child weighs 35 kg.
To calculate the amount for one dose, we need to first calculate the total daily dose and then divide it by the number of doses per day.
Total daily dose = 40 mg/kg/day x 35 kg = 1400 mg/day
Since the medication is divided q6h (every 6 hours), there are 4 doses per day.
Amount for one dose = Total daily dose / Number of doses per day
= 1400 mg/day / 4 doses per day
= 350 mg/dose
Therefore, the amount for one dose of IV vancomycin for this child is 350 mg.
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3. Use the relationship between 21 and 25 to decide whether the top and middle
shelves are parallel. (2 points)
Answer:
The top and middle shelves are parallel.
Step-by-step explanation:
<1 and <5 are corresponding angles.
When two lines are cut by a transversal such that corresponding angles are congruent, the lines are parallel.
If angles 1 and 5 are congruent, the shelves are parallel.
We are given m<5 = 60°.
Also, m<2 = 120°.
Angles 1 and 2 are a linear pair and are supplementary.
The measures of angles 1 and 2 add to 180°.
m<1 + m<2 = 180°
m<1 + 120° = 180°
Subtract 120° from both sides.
m<1 = 60°
m<1 = m<5 = 60°
Since angles 1 and 2 have the same measure, 60°, angles 1 and 2 are congruent.
Answer: The top and middle shelves are parallel.
maths tree diagrams, use picture to see question
Answer:
17/50
Step-by-step explanation:
When the bus is on time 4/5 of the time, it is late 1/5 of the time.
Mason arrives at 9 am when the bus is on time 3/4 of the time, so he doesn't arrive at 9 am 1/4 of the time.
Mason arrives at 9 am when the bus is late 3/10 of the time, so he doesn't arrive at 9 am 7/10 of the time.
The probability for Mason not to arrive at 9 am when the bus is on time is:
4/5 × 1/4 = 1/5
The probability for Mason not to arrive at 9 am when the bus is late is:
1/5 × 7/10 = 7/50
The probability for Mason not to arrive at work by 9 am is:
1/5 + 7/50 = 17/50.
I need this fast pls
The measures of the angles are ∠1 = 35 and ∠2 = 30
Calculating the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The figure
Using the sum of opposite internal angles in a triangle, we have
∠1 + 80 = 115
Subtract 80 from both sides
So, we have
∠1 = 35
Using the same theorem of sum of opposite internal angles in a triangle, we have
∠2 + 85 = 115
Subtract 85 from both sides
So, we have
∠2 = 30
Hence, the angles are ∠1 = 35 and ∠2 = 30
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3a. What is the perimeter of this figure?
3b. What is the area of this figure?
The perimeter of the parallelogram is 90 ft while it's area is calculated to be 900 square feet.
How to evaluate for the perimeter and area of the parallelogramThe sum of the boundary length of the parallelogram is it's perimeter so;
perimeter of the parallelogram = 15ft + 15ft + 30ft + 30ft
perimeter of the parallelogram = 90 ft
In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.
height of the parallelogram = 30ft × tan 45°
height of the parallelogram = 30ft {recall tan 45° = 1}
area of the parallelogram = 30ft × 30ft
area of the parallelogram = 900 ft²
Therefore, the perimeter of the parallelogram is 90 ft while it's area is calculated to be 900 square feet.
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what is the ratio of apple oranges and bananas when 48 are in the basket all together
not each
The ratio of apple oranges and bananas cannot be calculated with the given information
Calculating the ratio of apple oranges and bananasFrom the question, we have the following parameters that can be used in our computation:
Fruits = Orange, Bananas and Apple
Total number of fruits = 48
The available parameters is not enough to determine the ratio
Assuming that we have
Banana = 10
Orange = 20
Apple = 18
Then the ratio would be:
Apple : oranges : bananas = 18 : 20 : 10
Simplify
Apple : oranges : bananas = 9 : 10 : 5
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Divide using polynomial long division.
(5x4−2x3−7x2−39)÷(x2+2x−4)=
The polynomial long division of (5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4) gives a quotient of 5x^2 - 12x + 37
Dividing using polynomial long divisionFrom the question, we have the following parameters that can be used in our computation:
(5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4)
Using the polynomial long division setup, we have
x^2 + 2x − 4 | 5x^4 − 2x^3 − 7x^2 − 39
Evaluating the division, we have
5x^2 - 12x + 37
x^2 + 2x − 4 | 5x^4 − 2x^3 − 7x^2 − 39
5x^4 + 10x^3 - 20x^2
---------------------------------------
-12x^3 + 13x^2 - 39
-12x^3 - 24x^2 - 48
---------------------------------------
37x^2 + 9
37x^2 + 74x - 148
---------------------------------------
-74x + 157
Hence, the quotient is 5x^2 - 12x + 37
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Point: (3, 4)
Slope: -1
In standard form
Answer:
x+y-7=0
Step-by-step explanation:
y=-(x-3)+4
y=-x+3+4
y=-x+7
x+y-7=0
Suppose John Farmer is at fault in an accident. In this accident, Bob Brownlee and his wife and daughter are injured. Bob's medical expenses come to $12,000.00. Mrs. Brownlee's medical expenses total $8,000.00. The daughter, less seriously injured, has a medical bill of $3,000.00. John had insurance in the amount of 10/20.
How much will the insurance pay toward Bob's expenses? $
How much will the insurance pay toward the wife and daughter's expenses? $
How much will John be responsible for paying? $
The insurance will pay toward Bob's expenses: $10,000.00.
The insurance will pay toward the wife and daughter's expenses: $11,000.00.
John will be responsible for paying the remaining amount, which is $3,000.00.
The insurance coverage of 10/20 means that the insurance company will pay up to $10,000.00 per person and up to a total of $20,000.00 for the entire accident.
The insurance will pay toward Bob's expenses: $10,000.00 (maximum coverage for one person).
The insurance will pay toward the wife and daughter's expenses: $11,000.00 ($8,000.00 for Mrs. Brownlee and $3,000.00 for the daughter).
John will be responsible for paying the remaining amount, which is $3,000.00 ($12,000.00 + $8,000.00 + $3,000.00 - $20,000.00 insurance coverage).
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Answer:
The insurance will pay toward Bob's expenses: $10,000.00.
The insurance will pay toward the wife and daughter's expenses: $11,000.00.
John will be responsible for paying the remaining amount, which is $3,000.00.
Step-by-step explanation:
Find the value of and round to the nearest hundredth.
8 cm
13 cm
8°
Answer:
37.98°
Step-by-step explanation:
You want the value of θ in a right triangle with a hypotenuse of 13 cm and a side opposite the angle of 8 cm.
SineThe sine relation is ...
Sin = Opposite/Hypotenuse
In this figure, that means ...
sin(θ°) = (8 cm)/(13 cm)
The value of θ is found using the arcsin function:
θ° = arcsin(8/13) ≈ 37.98°
__
Additional comment
You will note the calculator mode is set to DEGrees.
The inverse function of the sine function is called the "arcsine" function. It is represented on most calculator keypads using a -1 exponent. (-1 is usually used with a function name to signify the inverse function. Here, the inverse sine function gives "the angle whose sine is ...".)
Typical units used for angles are degrees, radians, and gradians. The number that is the argument of the inverse sine function is a "pure number" with no units. If you find your calculation causes it to have units, then you need to check your work. (Here the units of cm in numerator and denominator cancel, leaving the unitless value 8/13.)