Answer:
B grade
Step-by-step explanation:
75 + 90 + 88 + 86 = 339
339/4 = 84.75
Grade B = 80-89%
Answer:
Betty will get 85 grade.
Step-by-step explanation:
Betty scored 75,90,88,72, and 86 on her tests.
As given the teacher throws out the lowest grade, we will not consider 72.
Now the teacher averages the remaining grades, and round up to the nearest integer.
So, taking the average we get;
[tex]\frac{75+90+88+86}{4}[/tex]
= 84.75
Rounding this to nearest integer, we get 85.
Hence, Betty will get 85 grade.
When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top with a diameter of 20 inches.
What is the approximate area of the circular glass top Elyse bought?
Answer:
A = 314 inches^2
Step-by-step explanation:
We know the diameter of the glass. We need to find the radius
d = 2r
20 = 2r
Divide each side by 2
20/2 = 2r/2
10 =r
To find the area of the glass
A = pi r^2
A = pi * 10^2
A = pi*100
A = 100 *(3.14)
= 314 in^2
Given that he polynomial function below find f(-9)
Answer:
B
Step-by-step explanation:
To find the value [tex]F(-9)[/tex] of the polynomial function [tex]F(x)=-x^2-10x-2,[/tex] you have simply substitute [tex]x=-9[/tex] into the function expression (write -9 instead of x):
[tex]F(-9)=-(-9)^2-10\cdot(-9)-2\\ \\=-81+90-2\\ \\=7[/tex]
Final answer:
To find f(-9) in the given function, substitute -9 for x and evaluate by following the transformation rules.
Explanation:
We can rewrite a given function as y = f{-2(x+1)}. To find f(-9), we substitute -9 for x in the function.
This gives us f(-9) = f{-2(-9+1)}. Calculating further results in f(-9) = f{-2(-8)}.
Therefore, to find f(-9), we evaluate the function at x = -8, and the value depends on the specific function provided.
what is the sum of 1 1/2 + 3 3/4 + 5 1/8 ?
Answer:
9 1/8
Step-by-step explanation:
1. first take away the fraction part and take the whole numbers off of the numbers and add them!
1 + 3 + 5 = 9
2. now take that aside and keep that for later... now lets focus on the
1/2, 3/4, and the 1/8 these are the STARS you will be focusing on!
3. now, find the common denominator in these fractions!!!
how? here is how!
1. lets list these fractions:
1/2, 3/4, and 1/8
the common demoninator is 8 because 1. its one of the highest in this set and 2. if you multiply 1/2 and 3/4 n the numerator and the demoentator by 4 they can create a 8 denminator and then you can add them!
4. Next, I wont be explaning you just watch!
3 x2 6
_ = _
4 x2 8 (to get to 8 from 4 you multiply by 2! so you do the same for the upper one!!!)
1 x4 4
_ = _
2 x4 8
you dont do anything to 1/8 because its already part of the eights family! :D
5. I know, it took us a LONG way here but here it is! the final! now, time to add them!
4/8, 6/8 and 1/8
6. lastly...
1 1/8 + 9 = 9 1/8
Hope this helpes! sorry this was so long!!! :D
the table below lists four names and their corresponding aproximant weights on earth.
________________________________
mass (kilograms) | weight (newtons)
20 | 196
50 | 490
x | 1078
130 | 1274
140 | 1372
the ratio weight to mass in contant. wich statemen describes the ratio of weight to mass and the value of x in the table?
A. 98/10; X =90
B. 98/10; =110
C. 10/98; X =90
D. 10/98; X= 110
Answer:
The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B
Step-by-step explanation:
* Lets explain how to solve the problem
- The mass (kilograms) values are
20 , 50 , x , 130 , 140
- The corresponding weight (newtons) values are
196 , 490 , 1078 , 1274 , 1372
* Lets find the ratio between weight to mass
∵ 196/20 ⇒ divide up and down by 2
∴ 196/20 = 98/10
∵ 490/50 ⇒ divide up and down by 10
∴ 49/5 ⇒ multiply up and down by 2
∴ 49/5 = 98/10
∴ 490/50 = 98/10
∵ 1274/130 ⇒ divide up and down by 13
∴ 1274/130 = 98/10
∵ 1372/140 ⇒ divide up and down by 14
∴ 1372/140 = 98/10
- All the ratios between weight to mass equal 98/10
∴ 1078/x = 98/10 ⇒ by using cross multiplication
∴ 98(x) = 1078(10)
∴ 98 x = 10780 ⇒ divide both sides by 98
∴ x = 110
* The statement which describes the ratio of weight to mass and the
value of x is 98/10; = 110
The ratio of weight to mass is constant. Write the ratio of weight to mass in simplest form to represent the table. Answer: 9.8
What should the value of x be in the table? Answer 110 kilograms
Dont mind what I have wrote
Answer:
n = 10
Step-by-step explanation:
[tex]\dfrac{4^8}{(4^2)^{-3}} \div 4^4 = 4^n[/tex]
[tex]\dfrac{4^8}{4^{-6}} \div 4^4 = 4^n[/tex]
[tex]4^8 \times 4^6 \div 4^4 = 4^n[/tex]
[tex]4^{(8 + 6 - 4)}= 4^n[/tex]
[tex]4^{10}= 4^n[/tex]
[tex]n = 10[/tex]
Answer:
n = 10Step-by-step explanation:
[tex]\dfrac{4^8}{(4^2)^{-3}}\div4^4=4^n\qquad\text{use}\ (a^n)^m=a^{nm}\\\\\dfrac{4^8}{4^{(2)(-3)}}}\div4^4=4^n\\\\\dfrac{4^8}{4^{-6}}\div4^4=4^n\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\4^{8-(-6)}\div4^4=4^n\\\\4^{14}\div4^4=4^n\qquad\text{use}\ a^n\div a^m=a^{n-m}\\\\4^{14-4}=4^n\\\\4^{10}=4^n\Rightarrow n=10[/tex]
Find x on the triangle
Answer:
(c)
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × cos42° = x, hence
x ≈ 8.9 → (c)
The answer is C hope it helps :))))
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is?
Answers-
A)7.94 × 10 7 miles
B) 7.94 × 10 8 miles
C) 4.3 × 10 7 miles
D) 4.3 × 10 8 miles
Answer:
B) 7.94 × 10 8 miles
Step-by-step explanation:
Given
Distance between Earth and sun=E=9.3* 〖10〗^7 Miles
Distance Between Saturn and Sun=S=8.87* 〖10〗^8 Miles
In order to find the distance between Earth and Saturn, we have to subtract the distance between earth and sun from the distance between Saturn and sun. So
Distance between Earth and Saturn=S-E
=(8.87* 10^8 )-( 9.3* 10^7 )
As the distances are in scientific notation, to perform subtraction, the powers of 10 in both quantities have to be same, so
=(8.87*10* 10^7 )-(9.3* 10^7 )
=(88.7* 10^7 )-(9.3* 10^7)
=79.4* 10^7 Miles
It can also be written as:
Distance between Earth and Saturn=7.94* 10^8 Miles ..
Tim Tradesman pays $2,000 annually for $150,000 worth of life insurance. Answer the following questions. a. At the end of 10 years, how much will Tim have paid in premiums? b. At the end of 10 years, what will the cash value of his policy be? c. What will the ratio of cash value to premiums paid be (as a percent)?
____________________________________________________
Explanation for question A:
We are trying to found the amount of money he payed after 10 years.
He pays an annual (yearly) of $2,000, so we would just multiply 2,000 by 10, since we are trying to find the amount he point in 10 years, in which he pays $2,000 a year.
[tex]2000*10=20000[/tex]
Answer for Question A: Tim Tradesman paid $20,000 in premiums at the end of 10 years.
____________________________________________________
Explanation for question B:
In question B, we are trying to find the cash value of the policy at the end of 10 years.
To find the cash value at the end of 10 years, we would get the units of life insurance and multiply it by the cash value per unit
There would be 150 units of life insurance.
So we multiply:
[tex]150*89=13350[/tex]
Answer for Question B: The cash value of his policy will be $13,350 at the end of 10 years.
____________________________________________________
Explanation for question C:
In question C, we are trying to find the ratio of cash value to premiums paid.
Our cash value is 13,350 and we paid 20,000.
When you subtract 20,000 and 13,350, you would get 6,650.
[tex]20000-13350=6650[/tex]
Then when you add 20,000 and 13,350, you would get 33,350.
[tex]20000+13350=33350[/tex]
When you subtract 6,650 from 33,350, you would get 26,700
[tex]33350-6650=26700[/tex]
26,700 is 66.75% of 33,350.
Answer for Question c: The ratio as a percent for the cash value to premiums paid is 66.75%
____________________________________________________
In the drawer you have 8 black socks and 5 yellow socks , if you pick out a sock what is the probability that the pick out a yellow sock?
Answer:
Step-by-step explanation:
I believe the answer is 5/13 chance because 8 black socks then 5 yellow so In total there are 13 socks and the question revolves around the yellow socks so 5/13 chance. Hope it helps. :)
5/13 because there is 13 socks all together and 5 of them are yellow
If you increase your bicycle speed by 5.6 miles per hour, the speed will be 17.9 miles per hour. What is your bicycle speed now?
Answer:
12.3 mph
Step-by-step explanation:
17.9 - 5.6 = 12.3
Answer:
12.3 mph
Step-by-step explanation:
Let x be our speed now
We increase the speed by 5.6 mph
Our new speed is x+5.6
We are going 17.9 mph
x+5.6 = 17.9
Subtract 5.6 from each side
x+5.6 -5.6 = 17.9-5.6
x =12.3
Find a unit vector in the direction of u and opposite of u
Just divide [tex]\mathbf u[/tex] by its magnitude:
[tex]\|\mathbf u\|=\sqrt{5^2+6^2+(-1)^2}=\sqrt{62}[/tex]
So a unit vector in the direction of [tex]\mathbf u[/tex] is
[tex]\dfrac{\mathbf u}{\|\mathbf u\|}=\dfrac5{\sqrt{62}}\,\mathbf i+\dfrac6{\sqrt{62}}\,\mathbf j-\dfrac1{\sqrt{62}}\,\mathbf k[/tex]
Then multiply this by -1 to get a unit vector pointing in the opposite direction.
To find the unit vector in the direction of a vector u, divide each component by its magnitude. For a vector u=i+j, the unit vector direction is ½(i+j), and the opposite direction is ½(-i-j).
Explanation:To find a unit vector in the direction of a given vector u, we must first calculate the magnitude (or length) of u and then divide each component of u by that magnitude. Let's assume the vector u has components i and j. The magnitude of u, denoted as |u|, is given by the square root of the sum of the squares of its components, which is √(i² + j²). The unit vector in the direction of u is then the vector u divided by its magnitude, Û = (i/|u|, j/|u|).
In the case of the vector u = i + j, the magnitude is √(1² + 1²) = √2, and so the unit vector in the direction of u is Û = ½(i + j). Conversely, the unit vector in the direction opposite to u would be Û = ½(-i - j) since we are simply negating each component of the unit vector in the direction of u.
I need help I number five and explain please for brainless answer !! :))
Check the picture below.
[tex]\bf \begin{array}{llll} \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\\\\ V=3\left( \cfrac{\pi r^2 h}{3} \right)\\\\ V=3(33)\\\\ V=99 \end{array} \qquad \qquad \begin{array}{llll} \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\ V=33\\\\\\\\\\ \end{array}[/tex]
notice, the volume of the cone is one-third of the cylinder's.
the table shows the number of minutes of exercise for each person. compare and contrast the measures of variation for both weeks. please answer quickly and thank you!
To compare the measures of variation for both weeks, calculate the range and standard deviation. Week 1 has a larger range and standard deviation compared to Week 2.
Explanation:
To compare and contrast the measures of variation for both weeks, we need to calculate the range and standard deviation for each week. The range is the difference between the highest and lowest values, while the standard deviation measures the average amount by which each data point differs from the mean.
For Week 1, the range is 90 (90 - 30), and the standard deviation is 25.62. For Week 2, the range is 30 (60 - 30), and the standard deviation is 11.55.
Therefore, Week 1 has a larger range and standard deviation compared to Week 2.
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What is most likely the length of a telephone book
Answer:
its around 297mm so any choice you have there around that number choose it
Step-by-step explanation:
Suppose f(x) = x^2. what is the graph of g(x) = f(2x)?
Answer:
C
Step-by-step explanation:
Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.
Answer: c is the correct answer
Step-by-step explanation:
Just took it
A restaurant manager determined that about 12 of all customers would wait 20 minutes or more for a table. Which simulation could NOT be used to answer questions about whether a customer would wait?
Answer:
Step-by-step explanation: Spinner lands on Green or blue
Answer: Land on Red or Green
Step-by-step explanation:
Hope it helps!
Given: m∠MEJ=30°, m∠MFJ=50° , Find: Measurement of Arc KL & Measurement of Arc MJ
Answer:
Part a) The measurement of arc KL is [tex]20\°[/tex]
Part b) The measurement of arc MJ is [tex]80\°[/tex]
Step-by-step explanation:
Let
x--------> the measure of arc KL
y-------> the measure of arc MJ
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]
substitute the given value
[tex]30\°=\frac{1}{2}(y-x)[/tex]
[tex]60\°=(y-x)[/tex]
[tex]y=60\°+x[/tex] ------> equation A
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
[tex]m<MFJ=\frac{1}{2}(x+y)[/tex]
substitute the given value
[tex]50\°=\frac{1}{2}(x+y)[/tex]
[tex]100\°=(x+y)[/tex]
[tex]y=100\°-x[/tex] ------> equation B
Equate the equation A and B and solve for x
[tex]60\°+x=100\°-x[/tex]
[tex]2x=100\°-60\°[/tex]
[tex]x=20\°[/tex]
Find the value of y
[tex]y=100\°-20\°=80\°[/tex]
therefore
The measurement of arc KL is [tex]20\°[/tex]
The measurement of arc MJ is [tex]80\°[/tex]
I need to know how many pounds of vegetables Janice needs I’m homeschooled and I really need your help
Answer:
5 pounds of vegetables.
A teacher asked her students how many pets they own.Here are the results: 0,0,0,1,1,1,1,2,2,2,4,4,8 On a piece of paper, draw a dot plot to represent the data.Then determine which answers choice matches the dot plot you drew.
The dot plot in option (C) matches the given data
What is dot plot?
"A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis."
What is data?
"A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things are known as data."
∴ From the four options, the dot plot in option (C) matches the given data
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To create a dot plot for the data, represent each number of pets by the correct number of dots above that number on a number line. Match your dot plot to the provided answer choices by looking for the same number and distribution of dots.
Explanation:A dot plot is a graph that represents data by using dots over a number line. In this case, the number of pets owned by the students will be represented by the dots. The results from your teacher's query form a distinct pattern. Representing the number of pets with dots gives:
For 0 pets, draw 3 dots;For 1 pet, draw 4 dots;For 2 pets, draw 3 dots;For 4 pets, draw 2 dots;For 8 pets, draw 1 dot.To match your dot plot to the given answer choices, look for a plot with the exact number and distribution of dots as shown in your drawing. Matching your results ensures accuracy in data representation.
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The complex number z = -2 + 10i is a sum of...
the complex number z=-2+10i
is the sum of real number 2 in the -ve x asix
and imaginary number 10in the y axis
The area of a square is A=s^2 where is a is length of one side of the square. What is the side length s for each square?
A). s=324 in.
B) s=<324 in.
C) s= (324)^2 in.
Answer:
(b) I think. Im sorry if this is wrong. <3
Step-by-step explanation:
A but it’s most likely B
Is 27,36,45 A right trangle?
Answer:
We square the 2 smallest sides and sum them:
27^2 = 729 + 36^2 = 1,296
729 + 1,296 = 2,025
This equals the longest side squared 45^2 = 2,025
When this occurs the triangle is a right triangle.
Step-by-step explanation:
3 to the zero power is what
Answer:
1
Step-by-step explanation:
Any number to the 0 power will always be 1.
Hope this helps ya out fam!
Welcome to Brainly btw!
~LoCoCoCo
Answer:
The answer should be 1
Step-by-step explanation:
The area of a rectangle is (25x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
(5x+3y) and (5x-3y)
Step-by-step explanation:
From the concept on difference between two squares;
a² - b² = (a+b)(a-b)
Therefore;
25x² - 9y² = (5x+3y) (5x-3y)
Therefore the dimensions of the square are (5x+3y) and (5x-3y)
Answer:
the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
Step-by-step explanation:
The area of a rectangle is 25x^2 - 9y^2 square units.
To find the dimensions of a rectangle we need to factorize the expression completely.
We know that (a + b)(a - b) = a^2 - b^2
In this case: a^2 = 25x^2 and b^2 = 9y^2
So a = sqrt(25x^2) = 5x
And b = sqrt (9y^2) = 3y
Then the solution is:
(a + b)(a - b) = (5x + 3y)(5x - 3y)
Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
What is the value of (–3 + 3i) + (–2 + 3i)? –5 – 6i –5 + 6i 5 + 6i 5 – 6i
Answer: Second option
[tex]-5 + 6i[/tex]
Step-by-step explanation:
The expression [tex](-3 + 3i) + (-2 + 3i)[/tex] is the sum of two complex numbers and their real part
To solve the sum you must add the real parts with the real parts and the complex numbers with the complex numbers
so, we have:
[tex]-3 + 3i -2 + 3i\\\\(-3 - 2) + (3i + 3i)\\\\-5 + (3i + 3i)\\\\-5 + 6i[/tex]
the answer is the second option
[tex]-5 + 6i[/tex]
Tomás built several towers with rectangular blocks. Which formula best represents the heights of the blocks in terms of their volumes?
Answer:
Option A
V = 15h
Step-by-step explanation:
Given in the question some information regarding the heights and volume of the towers with rectangular blocks
Formula to use
Volume = Length x Width x Height30 = Length x Width (2)
Length x Width = 30/2
Length x Width = 15
Formula best represents the heights of the blocks in terms of their volumes
V = 15h
Answer:
The correct answer is option A. 15h
Step-by-step explanation:
From the figure we can see that a table shows the relationship between heights and volume of rectangular blocks.
Heights Volume
2 15
3 45
4 60
10 150
To find the formula in terms of heights
If height = 2 then volume = 30 = 2 * 15
If height = 3 then volume = 45 = 3 * 15
If height is 'h' then volume = 15 * h = 15h
The correct answer is option A. 15h
Your scores on test in math are 89, 95 and 76. You will be taking one more test and you want your (mean) average to be 90. What will your test score have to be?
Answer:
100
Step-by-step explanation:
89+95+76=260
260+100(test score)=360
360/4=90
mark me brainiest
In preparation For her ice cream party Emily surveyed 35 students at her school about their favorite ice cream flavor she found out that seven of them like vanilla if 210 students are expected to attend the ice cream party about how many will prefer vanilla
Answer:
205
Step-by-step explanation:
I need help, I struggle with surface area. Please provide me with the answer and why it’s that answer.
lemme turn upwards the prims a little, check the picture below.
notice the triangle has a base of 4 and a height of 3, and the prism is really just two triangles and 3 rectangles, so we can simply get the area of each figure and sum them up, and that's the area of the prism.
[tex]\bf \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(4)(3) \right]}+\stackrel{\textit{right-side rectangle}}{(5\cdot 6)}+\stackrel{\textit{left rectangle}}{(6\cdot 3)}+\stackrel{\textit{ground rectangle}}{(6\cdot 4)} \\\\\\ 12+30+18+24\implies 84[/tex]
What is the amplitude, period, and phase shift of f(x) = −4 sin(2x + π) − 5?
Amplitude = −4; period = 2π; phase shift: x = -pie/2
Amplitude = −4; period = π; phase shift: x = pie/2
Amplitude = 4; period = π; phase shift: x = -pie/2
Amplitude = 4; period = 2π; phase shift: x = pie/2
Answer:
Amplitude = 4; period = π; phase shift: x = -pie/2
Step-by-step explanation:
For a sine wave of the following type:
y = Asin(Bx + C) + D, we have that:
A represents the amplitude
C represents the phase shift
D represents the vertical shift
And the period is given by: [tex]\frac{2 \pi}{B}[/tex]
Therefore, considering: f(x) = −4 sin(2x + π) − 5, we know that sin(a + π) = -sin(a). Then:
f(x) = −4 sin(2x + π) − 5 = 4sin(2x)-5 = 4cos(2x - π/2) - 5
The amplitude equals 4
The period is T = π
The fase shift is: -π/2.
Therefore, the correct option is:
Amplitude = 4; period = π; phase shift: x = -pie/2