Answer: 35
Step-by-step explanation:
The formula is there
a=(41+29)/2= 35
Erick, Mia, and Isabelle golfed 9 holes. Erick scored 10 more than Mia, and Isabelle scored 16 less than twice Mia's score. Use the drop-down menus to complete the statements about the expression that represents the scenario.
What does the expression x + x + 10 + 2x – 16 represent from the given scenario?
What does the variable in the expression represent?
What is the expression in simplified form?
What is the constant in the simplified expression?
The expression represents the sum of the holes.
The variable in the expression is Mia's age.
The simplified expression is 4x - 6
The constant in the simplified expression is -6.
What is the simplified expression?An expression in mathematics is a sentence that is made up of at least of two numbers or variables and has at least one mathematical operation in it. An expression does not have an equal to sign (=). An example of an expression is 2 + x .
A constant is a value in an expression that never changes in value. For example, in the expression 2x + 5x, 2 is the constant.
Mia's holes = x
Isabelle's holes = 2x - 16
Erick's holes = 10 + x
Sum of holes = x + 2x - 16 + 10 + x
To simplify, add similar terms together : 4x - 6
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If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.
A=6 × + 10=88555%__/455
Graph the function.
f(x)=−sin(x)
Plot Points: (0,0) (1.57,-1)
A boat leaves the marina and sails 13 miles northeast, then 12 miles east. In what direction must the boat sail to head directly back to the marina?
a. 66.55° W of S
b. 23.45° W of S
c. 45.00° E of N
d. 66.55° E of N
Answer: c
Step-by-step explanation: this answer is Unknown
The direction of the boat sail to head directly back to the marina which leaves the marina and sails 13 miles northeast, then 12 miles east is 23.45° W of S.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
\(c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B\)
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A boat leaves the marina and sails 13 miles northeast, then 12 miles east. The image of the problem is attached below.
Thus, the value of the third side is,
\(c=\sqrt{12^2+13^2-(2\times12\times13\times \cos 135)}\\c=23.01\)
The measure of the angle x is,
\(\angle x=\cos^{-1}\dfrac{23.1^2+13^2-12^2}{2\times23.1\times13}\\\angle x=23^o26'57"\\\angle x=23.449^o\)
Thus, the direction of the boat sail to head directly back to the marina which leaves the marina and sails 13 miles northeast, then 12 miles east is 23.45° W of S.
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Given the equation, proof it
Answer:
Step-by-step explanation:
I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)
S.
1.Given
2. AE = EC
3. <AEB = <CED
4. <CDE = <ABE
5. triangles congruent
R.
1. Given
2. Segment bisector theorem
3. Vertical angles theorem
4. PAI Theorem
Hope this helps!
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!
Answer:
answers steps below and attached for the 5 points
Step-by-step explanation:
y = x² + 10x + 24
x² + 10x + 24 = 0
(x+4) (x+6) = 0
x = -4 or x = -6 .... Roots: (-4 , 0) and (-6 , 0)
y = (x² + 10x + 25) - 1 = (x+5)² - 1 ... y = (x-h)² + k (h,k) is vertex
vertex: (-5,-1)
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
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Someone help me Taylor is trying to explain to a friend how -8 - -10 is 2. The friend thinks that -8 - -10 is 18.Who is correct, the friend, or Taylor?
Taylor's claim
\(-8-(-10)=2\)Taylor's friend claim
\(-8-(-10)=18\)The right solution
\(\begin{gathered} -8-(-10) \\ -\times-\Rightarrow+ \\ -8+10 \\ 10-8=2 \end{gathered}\)Hence, Taylor is correct and his friend is wrong
1. One of the acute angles of a right triangle is 28°, the other acute angle is?
Answer:
no idea
Step-by-step explanation:
cuz I don't
I need help with this question
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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What fraction is represented in the picture below?
Answer: 6/10
Step-by-step explanation: Six parts are shaded and even though the shaded parts are not touching each other, they will still count as shaded. 4 parts are not shaded and there is a total of 10 parts so the answer would be 6/10.
Hoped This Helped!
Answer:
If it is asking for the fraction of shaded parts the answer is A
If it is asking for the fraction of non-shaded parts the answer is B
Step-by-step explanation:
I would most likely go with A, because I have very rarely gotten a question asking for the non-shaded parts.
Describe how the graph of the function is related to the graph of its parent function.
y=-2X+1
O A Reflected across the y-axis and shifted up 1 unit
shirjeno
OB. Reflected across the x-axis and shifted up 1 unit
O C. Reflected across the y-axis and shifted to the right 1 unit
O D. Reflected across the x-axis and shifted to the right 1 unit
Answer:
B
Step-by-step explanation:
The -2 reflects across the x -axis
The + 1 shifts it up one unit
The measure of dispersion that measures how much the data differ from the mean is called the.
The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.
What is standard deviation?Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.
The standard deviation is a measure of how spread out data values are around the mean.
It is defined as the square root of the variance and represented with the Greek letter σ.
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A broth used to manufacture a pharmaceutical product has its sugar content, in mg/mL, measured several times on each of three successive days.
Day 1: 5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0
Day 2: 5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7
Day 3: 6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6
Can you conclude that the variability of the process is greater on the third day than on the second day?
Answer:
Yes
Step-by-step explanation:
To compare the variability of the measured sugar content for each day, we can estimate the standard deviation using the Range rule.
Standard Deviation =\(\dfrac{\text{Maximum Value-Minimum Value}}{4}\)
Day 1
5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0
Maximum Value=5.2Minimum Value=4.8Standard Deviation =\(\dfrac{5.2-4.8}{4}\)
=0.1
Day 2
5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7
Maximum Value=5.8Minimum Value=4.7Standard Deviation =\(\dfrac{5.8-4.7}{4}\)
=0.275
Day 3
6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6
Maximum Value=6.3Minimum Value=4.7Standard Deviation =\(\dfrac{6.3-4.7}{4}\)
=0.4
Since the estimated standard deviation of the third day is higher than that of the second day, the variability of the process is greater on the third day than on the second day.
in what quadrant l ll lll lv does the point 8,-9 lie?
The point lie in Quadrant IV (8 , -9).
Quadrant in coordinate geometry is divided into four parts which is called Quadrants.
Quadrants I (x, y)Quadrants II (-x, y)Quadrants III (-x, -y)Quadrants IV (x, -y)And, To find the in which quadrant does point (8, -9) lie ?
Now According to the above explanation is that:
We have, Point is (8, -9)
Thus, we can clearly see that
This point is lie in Quadrant IV (8 , -9).
Hence, The point lie in Quadrant IV (8 , -9).
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what is the answer (-7)²
Hi there!
The answer is: 49
Because if we square a negative number, we get a positive number.
But there's a difference between (-7)² and -(7)².
(-7)² equals 49
-(7)²=-49
Therefore, our answer is: 49Hope this helps you!
~Just a felicitous girlie
#HaveAnAmazingDay
\(SilentNature\)
Question 1
Mathematical thinking is making rational __________________ with your own thoughts using only definitions, properties, theorems, and postulates.
Question 2
A regular polygon has the same number of lines of symmetry as the number of sides. For example, a pentagon has 5 sides and 5 lines of symmetry. The number of degrees apart each line of symmetry is equals 360 degrees divided by the number of sides. The pentagon's lines of symmetry are 360/5 degrees apart, or 72 degrees apart. How many degrees apart are the triangle's lines of symmetry?
60 degrees
180 degrees
90 degrees
120 degrees
The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
As we know,
The act of using mathematics to address issues in the actual world is known as mathematical thinking.
As the pentagon has 5 sides and 5 lines of symmetry.
The pentagon's lines of symmetry are apart 72(360/5) degrees apart.
Similarly in the triangle, the sum of the interior angle is 180 degrees
The triangle lines of symmetry are 60(180/3) degrees apart.
Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.
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12.42 ÷ 4.6 = 0.4÷ 0.242= 1.404÷0.45=
Answer:
a)2.7
b)1.65289256
c)3.12
The image of the point (2, 4) under a translation is (1, 1). Find the
coordinates of the image of the point (-3,0) under the same translation.
Answer:
Step-by-step explanation:
What are two advantages of displaying data in a chart? O A. It allows the data to be organized in meaningful ways. B. It makes it easier to see and work with the data. C. It increases the number of words needed to describe the data. D. It makes it harder to make sense of the data.
Charts are used to represet data.
There are different types of charts being used, pie chart, bar chart and so on.
In a chart, the datas are visualized in an easier way rather than expressing in long descriptions.
It makes it easier to see and work with the data.
Therefore Answers A and B is correct
Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
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Which is a tangent of circle P?pls helpt ASAP!!!!
Explanation:
Tangent lines touch the circle at exactly one point.
Josh exercises at the gym 15/4 hours a week. He spends 2/5 of his time at the gym lifting weights. How many hours a week does Josh spend lifting weights at the gym?
Josh spends \(\frac{3}{2}$\) hours, or 1.5 hours, per week lifting weights at the gym.
Explain about week.A week is a period of time that consists of seven days. The days that make up a week are typically named Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
The concept of a week has been used for thousands of years, and its origin is believed to be linked to the cycles of the moon. The seven-day week has been widely used and adopted by many cultures and religions around the world.
According to question:Josh exercises at the gym for \(\frac{15}{4}$\) hours a week. He spends \(\frac{2}{5}$\) of that time lifting weights.
To find how many hours a week Josh spends lifting weights at the gym, we can multiply the total time he spends at the gym by the fraction of time he spends lifting weights:
\($\begin{align*}\frac{15}{4} \cdot \frac{2}{5} &= \frac{15 \cdot 2}{4 \cdot 5} \&= \frac{30}{20} \&= \frac{3}{2}\end{align*}$\)
Therefore, Josh spends \(\frac{3}{2}$\) hours, or 1.5 hours, per week lifting weights at the gym.
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I’m not sure how to answer this
Answer: 16 numbers apart from eachother ON the line
Step-by-step explanation:
Simplify: 4x + (−6x)
Answer: -2x
Step-by-step explanation:
4x+(-6x)
When there is a + in front of an expression in a parentheses, the expression remains the same.
4x-6x
Collect like terms
-2x
Hi can u please help me with this ASAP
Answer: an altitude
Step-by-step explanation:
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V. Which function can be used to find the number of ounces of coffee in the can based on its radius? C(V(r)) = 32.768πr3 C(V(r)) = 3.2πr3
Answer:
C(V(r)) = 3.2πr3Step-by-step explanation:
This problem is a composition of function defined by C(V(r)), now we have the functions \(V(r)= \pi r^{3}\) and \(C(V)=3.2V\), where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,
\(C(V(r))=3.2(\pi r^{3} )\)
Therefore, the right answer is the last choice.
Michael has a pail that holds 5 gallons of
water. How many quarts of water does the
pail hold?
Answer:
20 quarts.
Step-by-step explanation:
Because there are 20 quarts in 5 gallons.