Diving means it is moving down so it would be a negative value.
You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.
The dolphin started at 10 feet below sea level which would be written as -10.
To find the elevation you would need to add both parts together, which would give you:
y = -9x -10
The answer is B.
Answer:
the answer is b :)
Step-by-step explanation:
Charlie's eraser has a mass of 9 grams. How many milligrams is the eraser?
Answer:
9000 milligrams
Step-by-step explanation:
One gram is the equivalent of 1000 milligrams.
So, 9 grams is 9*1000 milligrams, which is 9000 milligrams.
Answer:
9000 milligrams
Step-by-step explanation:
There are 1000 milligrams in one gram, So 9 grams is 9000 milligrams.
ABCD is a parallelogram. If m angle d=72 then what is m angle a
[tex]m\angle A=180° - m\angle D=108°-72°=108° [/tex]
The measure of angle A is 108 degrees.
We have given that,
ABCD is a parallelogram. If m angle d=72
we have to determine the m angle a
What is the angle?an angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.
[tex]m\angle A=180-m\angle D\\=180-72\\=108[/tex]
The measure of angle A is 108 degrees.
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55^2 = 50^2 + 35^2 − 2(50)(35)cos(A)
Answer:
A = 78.46
Step-by-step explanation:
55^2 = 50^2 + 35^2 − 2(50)(35)cos(A)
3025 = 2500 + 1225 - 3500 cos A
- 3500 Cos A = -3725 + 3025
-3500 cos A = -700
cos A = -700/-3500
= 0.2
A = cos^-1 0.2
A = 78.46
Answer:
A=78.46° (to 4sf)
Step-by-step explanation:
The only way to approach this problem is to solve the equation.
55²=50²+35²-2(50)(35)cos(A)
3025=2500+1225-3500cosA
3025=3725-3500cosA
Now collecting like terms together:
3025-3725=-3500cosA
-700=-3500cosA
CosA=0.2
A=78.46° (to 4sf)
Alyssa and Elijah are classmates who received the same homework assignment. Alyssa spent 45 minutes on the assignment, and Elijah spent 2 hours.what is the ratio in simplest form of the amount of time on the assignment to the amount of time Elijah spent?
Answer:
3 : 8
Step-by-step explanation:
Two hours = 120 minutes
Alyssa:Elijah
45 : 120
3 : 8
What is the measure of 1
76
92
118
88
Answer:
[tex]m<1=92\°[/tex]
Step-by-step explanation:
we know that
The sum of the interior angles in a quadrilateral must be equal to 360 degrees
so
[tex]62\°+92\°+114\°+m<1\°=360\°[/tex]
solve for the measure of angle 1
[tex]268\°+m<1\°=360\°[/tex]
[tex]m<1=360\°-268\°=92\°[/tex]
Answer:
The answer is
B. 92 degrees.
Step-by-step explanation:
34) Apply the distributive property to simplify the expression. 5(3x − 7) A) 15x + 35 B) 15x − 35 C) −15x + 35 D) −15x − 35
Answer:
Answer:
B.
Explanation:
If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.
Step-by-step explanation:
Answer:
B. [tex]15x-35[/tex]
Step-by-step explanation:
We are asked to simplify the expression [tex]5(3x-7)[/tex] using distributive property.
Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
Using distributive property, we will multiply 5 by [tex]3x[/tex] and [tex]-7[/tex] as:
[tex]5\cdot 3x-5\cdot 7[/tex]
[tex]15x-35[/tex]
Therefore, the simplified form of the given expression would be [tex]15x-35[/tex] and option B is the correct choice.
if the point (7,3) is on the graph of an equation, which statement must be true
i need help asap
a delivery company charges an extra fee for a package that weighs more than 100 pounds write an inequality that shows the weight w, in pounds, of a package that sonia can ship without having to pay the extra fee
Answer:
[tex]w\leq 100\ pounds[/tex]
Step-by-step explanation:
Let
w------> the weight in pounds
we know that
A delivery company charges an extra fee for a package that weighs more than 100 pounds
so
For
[tex]w> 100\ pounds[/tex] -----> the company charges an extra fee
therefore
For
[tex]w\leq 100\ pounds[/tex] ----> the company not charge an extra fee
The inequality w ≤ 100 expresses the weight limit for Sonia's package. Jesse should use kilograms to weigh the box in the mailroom.
The inequality is: w ≤ 100
Since Sonia can ship packages without paying the extra fee for weights up to 100 pounds. Therefore, any package weighing 100 pounds or less would not incur the additional charge.
Jesse should use kilograms to weigh the box of books in the mailroom because it's a more appropriate metric unit considering the size and weight of the objects in the box.
In the number 1,435,967 in what place value is the 5
Answer:
Step-by-step explanation:
Thousands. You can check this by seeing how many places away from the furthest right digit a digit is. if it is 3 places away, it is in the thousands. If it something like 6 places away, it is in the millions.
The digit 5 in 1,435,967 represents 50,000 in the tens of thousands place value, highlighting the importance of understanding place values in large numbers.
In the number 1,435,967, the digit 5 is in the tens of thousands place value. To understand this, let's break down the place values in the number:
Millions: The digit 1 is in the millions place value.
Hundred Thousand: The digit 4 is in the hundred thousand place value.
Ten Thousand: The digit 3 is in the ten thousand place value.
Thousands: The digit 5 is not in the thousands place; it's in the tens of thousands place value.
Hundreds: The digit 9 is in the hundreds place value.
Tens: The digit 6 is in the tens place value.
Ones: The digit 7 is in the one's place value.
So, the digit 5 in the number 1,435,967 represents 50,000. In other words, it contributes to a value of 50,000 within the overall number. Place value is a crucial concept in understanding the numerical representation of large numbers, as it helps determine the significance of each digit within the number.
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You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon
Answer:
27m
Step-by-step explanation:
The diagram is shown in the attachment.
The height of the hot air balloon is calculated using the tangent ratio.
The tangent ratio involves the side length that is opposite(h) to the given angle (28) and the side length adjacent to the angle.
[tex]\tan 28\degree=\frac{h}{50}[/tex]
This implies that;
[tex]h=\50tan 28\degree[/tex]
[tex]h=26.585m[/tex]
The height is 27m to the nearest meters.
Using the tangent of the angle of elevation, the height of the hot air balloon is calculated to be approximately 26.585 meters.
Explanation:To find the height of the hot air balloon, we can use trigonometric principles, specifically the tangent function, which relates the angle of elevation to the opposite side (the height of the balloon in this case) and the adjacent side (the distance from you to the balloon).
The angle of elevation to the top of the balloon is given as 28 degrees and the distance from the observer to the balloon is 50 meters. Using the formula for tangent:
tan(angle) = opposite/adjacent
In this case:
tan(28 degrees) = height/50 meters
Therefore, to find the height:
height = 50 meters * tan(28 degrees)
Calculating this using a calculator:
height ≈ 50 * 0.5317
height ≈ 26.585 meters
So, the height of the balloon is approximately 26.585 meters.
PLEASE HELP WILL MARK BRAINIEST! I really need help and dont get this problem please help (explaining will also be greatly appreciated and right answers)
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
x = −2.4, 1.4, 3.9
x = −2.4, 0.25, 1.4
x = −2, 2, 3
x = −2, 1, 3
The possible values of x are -2.4,1.4,3.9
Step-by-step explanation:
F(x)=3x - 1
G(x)=x³-3x²-4x
when we will plot we are given two functions f(x) and g(x) as:
the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .
F(x)=G(x)
the points of the intersection of this equation is x= -2.4,1.4,3.9
Hence the solutions are x= -2.4,1.4,3.9.
Solve for x.
x = ___
Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
[tex]\frac{little}{big} =\frac{little}{big}[/tex].
[tex]\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2[/tex]
Which algebraic expression represents the difference of 54 and s number
[tex]\huge\boxed{54-x}[/tex]
I'm assuming you meant "the difference between 54 and a number". We'll use [tex]x[/tex] to represent the number.
The word "difference" means that we will use subtraction, making the answer...
[tex]\boxed{54-x}[/tex]
the other guy is correct
What is the total amount of sap the trees produced that day
Answer:
wrong its 5gallons
Step-by-step explanation:
How many students participated in the survey ?
Solve the system graphically:
b
x−y=0
2x+3y=−5
x=
y=
Answer:
(-1,-1)
Step-by-step explanation:
x=y
2x+3x=-5
x=-1
y=-1
For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?
So what they are trying to say is that they both have the same y-intercept. Easy!
Make y the subject:
5x - 2y = 3
2y = 5x - 3
y = 2.5x - 1.5
The y-intercept is -1.5.
Make y the subject:
x + y = a
y = -x + a
Therefore, a must be -1.5 !
The system of linear equations has a solution on the y-axis only when a = -3/2
When the system has one solution?
We have the system of linear equations:
5x - 2y = 3
x + y = a
Now let's write both in slope-intercept form:
y = (-3/2) + (5/2)x
y = a - x
If we want the lines to intersect at the y-axis, then we will have x = 0, replacing that we get:
y = -3/2
y = a
So, for the system to be consistent, we must have a = -3/2.
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An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?
Answer:
Yes, it does.
Step-by-step explanation:
Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.
To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »
So, a square has rotational symmetry, but not a rectangle.
A equilateral triangle has rotational symmetry, but not any other type of triangle.
The Ferris wheel shaped like a regular octagon would have rotational symmetry.
What is rotational symmetry?The rotational symmetry of a shape makes it possible for an object when rotated on its own axis, the shape of the object looks the same.
For a regular polygon with n sides, there would be n number of rotational symmetry,
The Ferris wheel shaped like a regular octagon would have rotational symmetry.
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You’ve saved $90 towards the cost of a gaming console. you plan to save an additional 10.50 per week. if the console coasts $300 how many weeks will you have to have to save $10.50 before you have enough money to buy the console?
You subtract 90 from the 300 dollar goal and you’re left with $210. If you then divide that by 10.50 the answer will be 20. So the answer is 20 weeks.
Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.
Answer:
[tex]\large\boxed{f(x)+(x-3)^2-7}[/tex]
Step-by-step explanation:
[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7[/tex]
What are the zeros of f(x)=2x^3+3x^2-9x?
ANSWER
[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]
EXPLANATION
The given polynomial function is
[tex]f(x) =2{x}^{3} + 3 {x}^{2} - 9x[/tex]
To find the zeros, we equate the function to zero.
[tex]2{x}^{3} + 3 {x}^{2} - 9x = 0[/tex]
Factor x,
[tex]x(2 {x}^{2} + 3x - 9) = 0[/tex]
Split the middle term,
[tex]x(2 {x}^{2} + 6x - 3x - 9) = 0[/tex]
[tex]x(2x(x + 3) - 3(x + 3) = 0[/tex]
[tex]x(2x - 3)(x + 3) = 0[/tex]
[tex]x=0,2x-3=0,x+3=0[/tex]
[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
Two plus two equals?
Two plus two is equal to four
Answer:
2+2=4
Step-by-step explanation:
1+1=2
1+1=2
^=4
HOPE THIS HELPEDS!!!!! XD
Can I have brain? please
what is the answer to this??
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
may somebody help me please
Answer:
The answer would be D because both ordered pair that was substituted in the equation didn't equal to each other.
Explanation:
All you do is substitute the x and y numbers. (x,y)
A:
Substitute the x and y number
7(2) - 5 = 4(4) - 6
Multiply the number in the parentheses by the outside number on both sides.
14 - 5 = 16 - 6
Subtract both sides to get your solution.
9 = 10
Doesn't equal so that means it's not the solution.
B:
Substitute
7(3) - 5 = 4(6) - 6
Multiply the number in the parentheses by the outside number on both sides.
21 - 5 = 24 - 6
Subtract both sides to get your solution.
16 = 18
It also doesn't equal so that means that it's not the solution either.
C:
Both ordered pair didn't equal to each other so this is not the answer.
Hope this helps!
Part 2
TOO PART 1 Please help me
Answer:
Part A) The volume of the ice cream scoop is [tex]36\pi\ in^{3}[/tex]
Part B) The melted ice cream won't fill the cup
Part C) The melted ice cream exceeds the volume of Anna's cup
Part D) The height of the smallest cylindrical cup is [tex]h=8\ in[/tex]
Step-by-step explanation:
Part A) Find the volume of the ice cream scoop
we know that
The volume of the sphere (ice cream scoop) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=3\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (3)^{3}=36\pi\ in^{3}[/tex]
Part B) Find the volume of Anna's cylindrical cup
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=3\ in[/tex]
[tex]h=6\ in[/tex]
substitute
[tex]V=\pi (3)^{2}(6)=54\pi\ in^{3}[/tex]
[tex]54\pi\ in^{3}> 36\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is greater than the volume of melted ice cream scoop
therefore
The melted ice cream won't fill the cup.
Part C) Will two scoop of melted ice cream fit in Anna's cup?
Multiply the volume of ice cream scoop by 2 and compare with the volume of Anna's cup
so
[tex](2)36\pi\ in^{3}=72\pi\ in^{3}[/tex]
[tex]72\pi\ in^{3}> 54\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is less than the volume of two melted ice cream scoop
therefore
The melted ice cream exceeds the volume of Anna's cup
Part D) Find the smallest cylindrical cup that will hold two scoops of melted ice cream
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]V=72\pi\ in^{3}[/tex] ------> volume of two scoops of melted ice cream
[tex]r=3\ in[/tex]
substitute in the formula and solve for h
[tex]72\pi=\pi (3)^{2}h[/tex]
simplify
[tex]72=(9)h[/tex]
[tex]h=8\ in[/tex]
HELP ME
Which of the following can Cindy use to purchase
an item if she wants to pay for her purchase at a
later time?
A debit card
B check
C money transfer
D credit card
Answer:
credit card
Step-by-step explanation:
a credit card you pay every month not when you use it in the store
Multiply. Write your answer in simplest form. −2/3 x(2 1/2 )x(−3)=
Answer:
The correct answer is 5
Step-by-step explanation:
To find this, start by multiplying them in any order. For ease, we'll multiply the first and last.
-2/3 * -3 = 2
Now we take that and multiply it by the remaining term.
2 * 2 1/2 = 5
Final answer:
Multiplying −2/3 by 2 1/2 and then by −3 results in the answer 5 after converting the mixed number to an improper fraction, considering the signs during multiplication, and simplifying the result.
Explanation:
To multiply the given numbers and write the answer in simplest form, let's break down the math step by step.
Firstly, convert the mixed number 2 1/2 into an improper fraction. To do this, multiply the whole number by the denominator of the fraction and add the numerator. This gives us 2 x 2 + 1 = 5, so 2 1/2 becomes 5/2.
Now, let's look at the multiplication operation:
−2/3 × (5/2) × (−3) = ( −2 × 5 × −3 ) / ( 3 × 2 )
When multiplying, we multiply the numerators together and the denominators together, which results in:
(−2 × 5 × −3) / (3 × 2) = (+2 × 5 × 3) / 6 = 30 / 6
When considering the signs, remember that when two numbers with the same sign multiply, the result is positive (e.g., −2 × −3 = +6), and when two numbers with opposite signs multiply, the answer is negative (e.g., −3 × 2 = −6).
The final step is to simplify the fraction 30/6, which simplifies to 5, since 30 divided by 6 equals 5.
Therefore, the answer is 5.
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answer:
10oz:1lb
Step-by-step explanation:
divide by two
Determine the unknown side of the similar triangle. A) 2 B) 3 C) 4 D) 5
Step-by-step explanation:
You didn't provide any context so I can't answer this. BUT!!
If you're looking at two triangles, look for the side corresponding to the unknown side. If it's an equilateral (all sides same length) triangle no need to worry. It's probably a scalene, all different lengths, because math is hard. So you'll have 3 different lengthy sides, and you can probably see which ones correspond with which based on length and position. You can use angles to help you.
Now use the sides you have the value of to determine scale factor.
Divide the length of one of the sides on one triangle by the corresponding side on the other. That's your scale factor. Now multiply it by the side that corresponds to the unknown side, and that is supposed to be your length.
Sorry couldn't help any more
Answer:
thwe answer is c
Step-by-step explanation:
The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)
Answer:
Option D. [tex]y=3(x+2)^{2}+5[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
If a> 0 then the parabola open up and the vertex is a minimum
If a< 0 then the parabola open down and the vertex is a maximum
In this problem the vertex is the point (-2,5)
so
the equation must be equal to
[tex]y=a(x+2)^{2}+5[/tex] and the value of a is positive
therefore
the answer is the option D
Answer:
y=3(x+2)^2+5
Step-by-step explanation:
y = 3(x+2)^2 + 5 Is the correct answer