Answer:
275
Step-by-step explanation:
calculator
I need help with these in order!!!
Answer:
See steps below
Step-by-step explanation:
WS ⊥ MH , HS = SM ......... Given
<HSW = <MSW = 90 ..... From WS ⊥ MH
Triangle HWS = Triangle WMS .... SAS theorem
<M = <H .... based on triangle congruency, and angle opposed to equal side WS
Find an equation parallel to x = 0 and passing through (5. - 1).
Answer:
x=5
Both are vertical lines and parallel to each other.
Find the instantaneous rate of change of the function f(x)=3x^2 as x approaches 3.
Answer:
The instantaneous rate of change as x approaches 3 is 18.
Step-by-step explanation:
From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]
[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]
[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]
[tex]f'(x) = 6\cdot x[/tex] (2)
If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:
[tex]f'(3) = 6\cdot (3)[/tex]
[tex]f'(3) = 18[/tex]
The instantaneous rate of change as x approaches 3 is 18.
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data
Answer:
The data is not appropriately normal.
Step-by-step explanation:
In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.
The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
The Temperature is 50F. The temperature will decrease by 4F each hour. Let h be the numbers of hours.
When will the temperature below 32F
Write inequality for this equation.
C. and D. arrows are suppose to have lines under them.
A. 50 - 4h< 32
B. 50 + 4h < 32
C. 50 + 4h <_32
D. 50 - 4h <_ 32
Answer:
a. 50 - 4h < 32
Step-by-step explanation:
The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).
If the temperature is decreasing every hour you have to decrease 4 for each hour.
hope that helps!
Find the slope of a line parallel to the given line. y=4/5x+5
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost
Answer:
8 counselors and 12 aids
Step-by-step explanation:
minimum number of staff to run camp = 20
Ratio of counselors to aids to work together = 2:3
To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4
minimum number of counselors needed = 4 x 2 = 8 counselors
minimum number of aids needed = 4 x 3 = 12 aids
A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.
Given the similar figures below, find the value of x. For your answer, ONLY TYPE IN THE NUMBER. show work
Answer:
[tex] x = 17.5 [/tex]
Step-by-step explanation:
Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:
[tex] \frac{28}{16} = \frac{x}{10} [/tex]
Cross multiply
[tex] x*16 = 10*28 [/tex]
[tex] 16x = 280 [/tex]
Divide both sides by 16
[tex] x = \frac{280}{16} [/tex]
[tex] x = 17.5 [/tex]
x^2- 11 = 70 I need help on how to solve this
Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!
Match the number with its opposite. (4 points)
WILL MARK BRAINLIEST
Heyyy no funny buisness i need answes ASAP
Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?
EMERGENCY Linda’s adding padding to all the surface inside her attic for extra warmth in the winter she needs to find the approximate surface area of the attic including walls floors and ceilings the attic is in the shape of a triangular prism Linda draws the net and writes the expression below to represent the surface area of the attic Are Linda’s net and expression correct?
Answer:
4350
Step-by-step explanation:
Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given the attic of Linda's home.
Attic is in the shape of triangular prism.
The net that Linda drawn is correct since she expresses all the measurements right in the net.
So, the net Linda drew is correct.
We can find the surface area from the net of the prism.
Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.
Area of triangle is [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width
Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15
Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)
= 45(40 + 25 + 25)
Total surface area = 45(40 + 25 + 25) + (25 × 15)
The first term of Linda's expression, 45(40 + 25 + 25) is correct.
The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.
Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)
= 4425 square feet
Hence the surface area of the attic is 4425 square feet.
Learn more about Surface Area here :
https://brainly.com/question/28307440
#SPJ7
The complete question is given below.
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
$14.4
Step-by-step explanation:
I don't quite understand this question, but this is what I think
solve for x -1.5x - 3.1 < 5.5
Answer:
x>-17.2
Step-by-step explanation:
Simplify both sides of the inequality
-0.5x-3.1< 5.5
Add 3.1 to both sides
-0.5x< 8.6
Divided both sides by -0.5
x>-17.2
Hope this helped! :)
SAT scores have been found to predict 36% of the variance in college
GPA. What is the correlation coefficient between SAT score and college GPA?
A. 0.18
B. 0.6
C. 0.06
A gym charges each member $100 for a membership fee and $30 per month after that. How much money will a member spend after 6 months
Answer:
280
Step-by-step explanation:
Month 1: 100 + 30 = 150
Month 2: +30
Month 3: +30
Month 4: +30
Month 5: +30
Month 6: +30
Total: 280
Hope this helps!
Answer:
$280
Step-by-step explanation:
For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months. So let's make an equation to represent this.
The initial cost is $100
The per month cost is $30
Total cost after 6 months = Inital cost + Per Month Cost * 6 months
Total cost = $100 + $30 * 6
Total cost = $100 + $180
Total cost = $280
Thus, a member will spend $280 after 6 months on the membership.
Cheers.
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
If these two shapes are similar, what is the measure of the missing length g?
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
Can someone help me find x.
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.
Write a linear equation for each table relating X and Y
Answer:
a. y = 2 + 2x
b. y = 20 - 4x
c. y = 2 + 1.5x
d. y = 20 - 3x
Step-by-step explanation:
I Hope That This Helps! :)
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]