Answers
x = 6
6 + 5 = 11 or B
Related Questions
Mattie,Joel,and Oscar each ate 325 calories at lunch each day for 18 days.About how many calories did they eat in all
Answers
[tex]325 \times 3[/tex]
which equals 975
Next, you multiply that by 18
[tex]975 \times 18[/tex]
The answer is 17559
[tex]17559[/tex]
A bowl contains 10 quarters, 20 dimes, 15 nickels, and 5 pennies. a coin is selected at random and kept and then a second coin is selected at random. which combination would have a probability of 6/49?
Answers
In this case, the coin is taken twice, that means the denominator should be 50*49. But in this question, the probablity value is 6/49, so you need to convert it into 50*49 by multiplying the numerator with 50. The value should be:
6/49 *50/50= 300/49*50
The number 300 is multiplication of 20 and 15, that mean the answer should be: 1 dimes and 1 nickles
On each coordinate plane,the parent function f(x)=|x| is represented by a dash line translation is represented by a solid line. Which graph represents the The translation g(x)=|x+2| as a solid line?
Answers
Answer:
Refer the attached graph.
Step-by-step explanation:
Given : On each coordinate plane,the parent function [tex]f(x)=|x|[/tex] is represented by a dash line translation is represented by a solid line.
To find : Which graph represents the the translation [tex]g(x)=|x+2|[/tex] as a solid line?
Solution :
The parent function [tex]f(x)=|x|[/tex]
with the vertex (0,0)
And the graph of [tex]g(x)=|x+2|[/tex]
with the vertex (-2,0)
The graph of g(x) is the translation of f(x)
The parent function is translated towards left.
Transformation to the left,
f(x)→f(x+b) , the graph of f(x) is shifted towards left by b unit.
Same as the graph f(x) is shifted towards left by 2 unit and form graph of g(x).
We plot the graph of both the equations in which translation is shown.
Refer the attached graph below.
The function y = -0.017x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. How far did the frog jump? How high did it go? Round your answer to the nearest hundredth. Be sure to show work / explain your reasoning.
Answers
The frog jumped approximately 16.18 feet horizontally. The maximum height it jumped was approximately 4.65 feet.
Explanation:The function y = -0.017x^2 + 0.55x models the frog's jump, it represents a parabola where the highest point, the vertex, means the highest point the frog reached, and where it hits the x-axis indicates the horizontal distance the frog jumped. We can find the distance of the frog's jump by setting y to 0 and solving the equation for x, whereas, the maximum height of the frog's jump will be determined by the vertex of the parabola.
For a function in the form y = ax^2 + bx + c, the x-value of the vertex, which is the maximum height in this context, can be found by using the formula -b/2a.
Substituting the given values from the equation, -b/2a = -0.55/(-2*-0.017) = 16.18 feet approximately.
Substitute x = 16.18 feet into the given function to find the maximum height the frog jumped: y = -0.017*(16.18)^2 + 0.55*16.18 = 4.65 feet approximately.
So, the frog jumped approximately 16.18 feet horizontally and the maximum height it jumped was approximately 4.65 feet.
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The frog jumped approximately 32.35 feet in distance and reached a maximum height of about 4.71 feet. We found this by setting the quadratic function to zero and solving for the horizontal distance, and by calculating the vertex of the parabola for the maximum height of the jump.
The function y = -0.017x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. To determine how far the frog jumped, we look for the value of x when y equals zero, which represents when the frog lands back on the ground. To find this, we set the equation equal to zero and solve for x:
0 = -0.017x^2 + 0.55x
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = -0.017, b = 0.55, and c = 0. We can solve this by factoring or using the quadratic formula. The solutions to this equation represent the starting point (x=0) and the landing point of the jump. Ignoring the x=0 solution, we find that the frog lands at approximately x = 32.35 feet (after rounding to the nearest hundredth).
To determine how high the frog went, we need to find the vertex of the parabola because this represents the highest point of the jump. The x-coordinate of the vertex is given by -b/(2a), so we calculate:
x = -0.55 / (2 * -0.017) = 16.18 (rounded to the nearest hundredth)
We plug this value into the original equation to find the height:
y = -0.017(16.18)^2 + 0.55(16.18) = approximately 4.71 feet (after rounding to the nearest hundredth)
Therefore, the frog jumped approximately 32.35 feet in distance and reached a maximum height of about 4.71 feet.
Which conjunction or disjunction is equivalent to the this inequality?
5-3 |p+4| <= -10
p + 4 ≤ 5 AND p + 4 ≥ -5
p + 4 ≤ 5 OR p + 4 ≥ -5
p + 4 ≥ 5 OR p + 4 ≤ -5
p + 4 ≥ 5 AND p + 4 ≤ -5
Answers
=> (2) |p + 4| ≤ - 10
=> | p -4 | ≤ 10 / 2
=> | p - 4 | ≤ 5
=> (p + 4) ≤ - 5 and -(p+4) ≤ - 5
- (p + 4) ≤ - 5 is equivalent to p + 4 ≥ 5
So, the answer is p + 4 ≤ - 5 and p + 4 ≥ 5. That is the fourth option
p + 4 ≥ 5 AND p + 4 ≤ -5.
Which professionals most directly use geometry in their work?
a.accountants
b.astronomers
c.judges
d.pharmacists
e.politicians
Answers
b.astronomers
Answer:
The answer to the question: Which professionals most directly use geometry in their work?
b. Astronomers
Step-by-step explanation:
The astronomers are the professionals most directly use geometry in their work in this list options, some examples of the geometric in this profession are:
Orbits of planets around stars or orbits of satellites around planets behave like ellipses or hyperbolas; geometry is also used to find coordinates of celestial objects
which function represents g(x) , a reflection of f(x)= 2/5 (10) x across the x-axis ?
Answers
Answer: The correct option is A.
Explanation:
The given function is,
[tex]f(x)=\frac{2}{5}(10)^x[/tex]
If a function is reflect across the x-axis, then the x-coordinate remains the same but the sign of y coordinate change.
[tex](x,y)\rightarrow(x,-y)[/tex]
[tex]g(x)=-f(x)[/tex]
[tex]g(x)=-\frac{2}{5}(10)^x[/tex]
The graph of f(x) and g(x) in shown in below figure.
Therefore option A is correct.
The solution to 2 x - 2 + 5 = 13 is___.
Answers
A rectangular sandbox has a width of 5 feet. The sandbox is 5 times as long as it is wide. what is the perimeter of the sandbox?
Answers
25+25+5+5=60
Perimeter= 60ft
Hope this helps you out! Have an AWESOME rest of your day!
The function f(x)= 70x^3/4 power can be used to estimate the BMR (Basic Metabolic Rate) of mammals. In this function, x is the mass of the animal in kilograms, and f(x) is its BMR in kilocalories (kcal) per day. Note that one kcal is equal to one food calorie. The howler monkeys at a zoo are fed a diet that contains 3.35 kcal per gram. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat to obtain x kilocalories of energy. Please help!
Answers
5 with a negative exponent of 4 over 5 with a exponent of 3 simplified
A.) 5 with an exponent of 7
B.) 5 with a negative exponent of 1
C.) 1 over 5 (fraction)
D.) 1 over 5 with an exponent of 7
Answers
Regardless, apply the exponent rule x^a/x^b = 1/x^b - a
5^-5/5^3 = 1/5^3 - (-5) = 1/5^8
Therefore the final answer is.
[tex] \frac{1}{5^8} [/tex]
why does the sum of -4 and 3 complain more than the sum of -3 and 5
Answers
Final answer:
The sum of -4 and 3 is -1 because we subtract the smaller number from the larger and keep the sign of the larger absolute value number. The sum of -3 and 5 is positive 2 for the same reason.
Explanation:
The question seems to be asking about the rules for adding numbers with different signs. When adding -4 and 3, which have opposite signs, you subtract the smaller number from the larger number, and the sign of the answer is the same as the sign of the larger absolute value number.
So the sum is -1, because 4 is larger than 3, and the sign is negative. In contrast, when adding -3 and 5, you also subtract the smaller number from the larger, but since 5 is greater than 3, the sum is 2, and it has a positive sign because 5 has a positive sign.
Examples demonstrate the rules of addition:
When two positive numbers are added, like 3 + 2, the result is a positive 5.If two negative numbers are added, for example, -4 + (-2), the result is a negative -6.Mixing a negative and a positive number, such as -5 + 3, the result is -2, mirroring the sign of the larger absolute value number.These basic rules ensure clarity in arithmetic operations and provide a foundation for more complex math problems. The 'complaints' likely refer to the unexpected results when dealing with negative numbers, which can seem counterintuitive but follow consistent mathematical rules.
Identify each sequence below as geometric, arithmetic, or neither.
(a) 1, 3, 5, 7, 9, 11, 13, 15
(b) 21, 16, 12, 9, 7, 6
(c) .3, .03. .003, .0003, .00003
(d) -4, -12, -36, -108, -324
Answers
Sequence (a) is an arithmetic sequence because the common difference is constant. Sequence (d) is a geometric sequence because the common ratio is constant. Sequences (b) and (c) do not follow the patterns of arithmetic or geometric sequences and are neither.
Explanation:The question asks to identify each sequence as arithmetic, geometric, or neither.
Arithmetic sequence: In an arithmetic sequence, the difference between successive terms is constant. This difference is also called the common difference. For example, the sequence (a) 1, 3, 5, 7, 9, 11, 13, 15 is an arithmetic sequence because the common difference between the terms is 2.Geometric sequence: In a geometric sequence, the ratio of any two successive terms is constant. This ratio is also called the common ratio. For example, the sequence (d) -4, -12, -36, -108, -324 is a geometric sequence because the common ratio between the terms is 3.Neither: If a sequence is not arithmetic or geometric, it is classified as neither. For example, the sequence (b) 21, 16, 12, 9, 7, 6 and (c) .3, .03, .003, .0003, .00003 do not follow the patterns of arithmetic or geometric sequences and therefore are classified as neither.Learn more about Sequence Identification here:https://brainly.com/question/30531377
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3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y
Answers
3(x+y)=y
y is not equal to zero
*Solution
1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,
3(x+y) = y
3x + 3y = y
Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give
3x = -2y
Dividing both sides of the equation by 3,
x = (-2/3)y
Dividing both sides of the equation by y,
x/y = -2/3
Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.
The ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
What is the Solution of an Equation?Solution of an equation is the value of a variable or two variables that makes an equation true.
Given:
3(x+y)=y
We are required to find the ratio, x/y if y ≠ 0.
Thus:
3(x+y)=y
Open bracket
3x + 3y = y
Subtract 3y from both sides
3x = y - 3y
3x = -2y
Divide both sides by 3
x = -2y/3
Divide both sides by y
x/y = -2/3
Therefore, the ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
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When seven times a number is decreased by 66 the result is 50. what is the number?
Answers
Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.
Answers
have a nice day sir/maam
Michaela climbed up a mountain at an Average speed of 3 mi/h. She climbed down at an average speed of 5 mi/h. What is Michaela's average speed for the entire trip? Round to the nearest tenth
Answers
= 3.75 mi/hr
To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken. The average speed can be calculated as (2D) / (D/3 + D/5), which is approximately 3.53 mi/h.
Explanation:To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken.
Let's assume the distance she climbed up the mountain is D. The distance she climbed down is also D since she retraced her steps. The average speed for climbing up is 3 mi/h and the average speed for climbing down is 5 mi/h.
The total distance is 2D and the total time is D/3 + D/5. Therefore, the average speed can be calculated as (2D) / (D/3 + D/5).
Simplifying this expression gives us the average speed as 3.53 mi/h (rounded to the nearest tenth).
Numbers mr. wahl is thinking of two numbers. the sum of the numbers is 27. the product of the numbers is 180. what two numbers is mr. wahl thinking of?
Answers
I need help with #22
Answers
Answer:
[tex]4 = y \\ 4 = x[/tex]
Step-by-step explanation:
The isosceles triangle containing the side of y + 12 is congruent to 3x² - 32 [base angles are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle adjacent to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
[tex]5y - 4 = y + 12[/tex]
-5y - 5y
___________________
-4 = -4y + 12
-12 - 12
____________
-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set 3x² - 32 equal to 16:
[tex]16 = 3{x}^{2} - 32[/tex]
+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for x will not give us identical answers.]
I am joyous to assist you anytime.
Find height of triangle given hypotenuse and angle
Answers
then Sin(A) = h/H
so h = HSin(A)
Is 770 x 6 = 77 x 6 x 100 true or false?
Answers
because 770 x 6 = 4620
and 77 x 6 x 100 = 46200
The equation 770 x 6 = 77 x 6 x 100 is false.
To determine if the equation 770 x 6 = 77 x 6 x 100 is true or false, let's evaluate both sides of the equation.
On the left side:
770 x 6 = 4,620
On the right side:
77 x 6 x 100 = 46,200
Since 4,620 is not equal to 46,200, the equation 770 x 6 = 77 x 6 x 100 is false.
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Graph the system of constraints and find the value of x and y that maximize the objective function.
Answers
We want to maximize C, which is C= 7x - 3y. Let's explore our intuition regarding how this will look. We know that both y and x are greater than or equal to zero, which means -3y will be a negative number (or 0) and x is a positive number (or 0). We want to get x as big as possible, given the constraints, we want y to be zero, if possible
We see that, based on the constraints, y is greater than or equal to zero,
but it has no other minimum value established. We only know that y and x add up
to 5, and that y is less than or equal to (1/5)x + 2. That means y could be
0 and still satisfy the constraints.
In order to maximize C, we want to be 5 as possible
and y to be zero:
C = 7 (5) - 3(0)
C=35
Answer: Solving Systems Using Matrices Quiz Part 1
1. c) (5,0)
2. a) 20 of type A; 20 of type B
3. d) no solution
4. a) -5
5. d) 11 -12 7 5 12 -7
6. a) (-6,8)
Is this right? Domain and range of a function
Answers
Nice work on getting the correct answer.
How to find the variance of a sample with only mean standard deviation size?
Answers
so if the variance is 100, then the standard deviation is sqrt 100 = 10
or, if u have the standard deviation of 10....then to find the variance, u square it....so the variance is 10^2 = 100
20! / 16! = a 24 b 11,628 c 116,280 d A number too big to compute
Answers
20! / 16! =
20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
divided by
16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
equals C. 116,280
What is the slope of the line through (-1,8) and (3,-4)?
Answers
[tex] \frac{change\ in\ y}{change\ in\ x} [/tex]
Answer:
-3
Step-by-step explanation:
The slope of a line is the ratio of the vertical distance and horizontal distance between two points on a line.
Note that zero is tangible if the line is horizontal, and undefined if it is vertical.
Slope = ∆y / ∆x
Coordinates given: (-1,8) and (3,-4)?
Slope = -4 - 8 / 3 - (-1)
Slope = -12 / 4
= - 3
How do I prove the corresponding angles theorem?
Answers
Final answer:
The corresponding angles theorem states angles in matching corners are equal when two parallel lines are intersected by a transversal. To prove this, use properties of parallel lines and transversals, and various established theorems. Euclidean postulates are employed, rather than the Pythagorean theorem or trigonometry.
Explanation:
To prove the corresponding angles theorem, one must understand that when two parallel lines are intersected by a transversal, the angles in matching corners are equal. These are called corresponding angles. For instance, suppose you have two parallel lines L1 and L2, and a transversal T that intersects them at points A and B respectively. The angle ∠PAB on line L1 would correspond to angle ∠QBA on line L2, and they would be equal.
To provide a mathematical proof, one would typically use properties of parallel lines and transversals, or other established theorems such as the alternate interior angles theorem or the exterior angle theorem. By proving all these other angles are equal due to their relationships with each other (alternate interior, consecutive interior, alternate exterior angles, etc.), one can by default establish that corresponding angles must also be equal.
Proof of this theorem often involves constructing supplementary and congruent angles and using the postulates of Euclidean geometry. The Pythagorean theorem and trigonometry need not be involved in this proof unless one is working with right triangles formed by the transversal and the parallel lines, or if dealing with more complex geometric problems.
The Statement of Theorem should be in what form?
if-then
then-if
maybe-conclusion
does not matter
Answers
Answer: If/then.
Step-by-step explanation: A theorem is a statement that has been proven on the basis of other statements, for example other theorems, which are known to be true.
We use the pattern "If A...., then B..." when we known that "A" is a statement that is true and we want to declare that since A is true, B should also be true.
The number of males per 100 females in a country's population is called what?
Answers
The correct answer to your question would be: The sex ratio.
I really hope my answer benefited you! :)
A retailer has some skirts that cost $18 each. She wants to sell them at a profit of 40% of the selling price. What price should she charge for the skirts?
Answers
18=.6x
30=x
the answer is $30
The selling price is $25.2.
Profit and lossIf the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit.
If the selling price is less than the cost price, then the difference between the selling price and cost price is called loss.
Given
The cost of the skirt is $18
Profit is 40%
To findThe selling price of the skirt.
How to calculate the selling price?The selling price is given by
selling price = cost price + profit
Profit is given by
[tex]\begin{aligned} \rm Profit\ percent\ &= \rm \dfrac{Profit}{cost\ price} *100\\40 &= \rm \dfrac{Profit}{18} *100\\\rm profit &= 7.2 \end{aligned}[/tex]
Then the selling price = 18 + 7.2 = $25.2.
Thus, the selling price is $25.2.
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