Answer:
-1.4 or -7/5
Step-by-step explanation:
make them improper then subtract
Answer:-1.40
Step-by-step explanation: 6 1/5= 6.20 and (-7 3/5)=-7.60
6.20 = -7.60 is the same as 6.20-7.60=-1.40
What line represents the relationship
between cand d shown in the table?
how many solutions to (x-3)(x-3) = 0
Answer: One solution
namely x=3. We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.
Answer:
Step-by-step explanation:I hope it's only one...
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
how do you write a ratio?
Answer:
number : number
Step-by-step explanation:
for example, 1:3
this means 1 to 3
so for every 1 banana there are 3 apples
When there is a 20.1 mihr wind, an airplane can fly 630 mi with the wind in the same time that it can fly 521 mi against the wind. Find the speed of the plane when there is no wind.
Answer:
the speed of the plane when there is no wind is 212.25 mi/hr
Step-by-step explanation:
Let v represent the speed of the plane without wind.
Wind speed = 20.1 mi/hr
The resultant speed with wind is;
v + 20.1 mi/hr
The resultant speed against wind is;
v - 20.1 mi/hr
Let t represent the time for the travel.
With wind;
(v+20.1)t = 630 ......1
Against wind;
(v-20.1)t = 521 ......2
Divide equation 1 by 2
(v+20.1)/(v-20.1) = 630/521
Cross multiply;
521(v+20.1) = 630(v-20.1)
Collecting like terms;
v(630-521) = 20.1(630+521)
v = 20.1(1151)/109
v = 212.25 mi/hr
the speed of the plane when there is no wind is 212.25 mi/hr
There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.
If the first gear is rotating clockwise, what direction is the fifth gear turning?
Answer:
fifth gear is also rotating clockwise
Calculate the surface area of the triangular prism.
Answer:
120 square centimeters
Step-by-step explanation:
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{IV}IVstart text, I, V, end text, and \cos(\theta_1)=\dfrac{3}{5}cos(θ 1 )= 5 3 cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 3, divided by, 5, end fraction .
Answer:
[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]
Step-by-step explanation:
Given the angle [tex]\theta_1[/tex] located in [tex]\text {Quadrant IV}[/tex].
[tex]\cos(\theta_1)=\dfrac{3}{5}[/tex]
We want to determine the value of [tex]\sin(\theta_1)[/tex]
Now,
[tex]\cos(\theta)=\dfrac{Adjacent}{Hypotenuse}\\$Therefore:\\Adjacent=3\\Hypotenuse=5\\Using Pythagoras theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\5^2=Opposite^2+3^2\\Opposite^2=5^2-3^2=16\\Opposite^2=4^2\\$Opposite=4[/tex]
In Quadrant IV, x is positive, and y is negative.
Therefore, Opposite=-4
[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]
Answer:
cos(\theta_1)=\dfrac{84}{85}cos(θ
1
)=
85
84
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
A =70 ft^2
Step-by-step explanation:
The area of the triangle is equal to
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20) *7
A =70 ft^2
can someone help me with algebra 2 with an explanation?
Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...
1. [tex]x=1[/tex]
2. [tex]x=\frac{3}{2}[/tex]
3. [tex]x=1[/tex]
4. [tex]x=\frac{6}{5}[/tex]
Step-by-step explanation:
1.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.
Let's add [tex]\frac{x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}[/tex]
Add the numerators and keep the same denominator.
[tex]\frac{1}{x}=\frac{4+x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{2+x}{3x}[/tex]
To get rid of the denominator x on the left side, we can multiply by x.
[tex](x)\frac{1}{x}=\frac{2+x}{3x}(x)[/tex]
[tex]1=\frac{2+x}{3}[/tex]
Now multiply by 3.
[tex](3)1=\frac{2+x}{3}(3)[/tex]
[tex]3=2+x[/tex]
Subtract 2.
[tex]3-2=x\\1=x[/tex]
The value of x is 1.
Proof.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
[tex]\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}[/tex]
[tex]1-\frac{-1}{3}=\frac{4}{3}[/tex]
[tex]1+\frac{1}{3}=\frac{4}{3}[/tex]
[tex]\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}[/tex]
I can't show the proof to the following problems because I have a 5000 character limit.
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2.
[tex]\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}[/tex]
Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.
[tex]\frac{5x-5-5}{x^2-4x}=\frac{1}{x}[/tex]
[tex]\frac{5x-10}{x^2-4x}=\frac{1}{x}[/tex]
Again, we can multiply by x to get rid of the x in the denominator.
[tex](x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)[/tex]
Do not distribute the x in the numerator yet because we're gonna eliminate it later.
[tex]\frac{(x)(5x-10)}{x^2-4x}=1[/tex]
Factor the denominator.
[tex]\frac{(x)(5x-10)}{(x)(x-4)}=1[/tex]
Simplify x's.
[tex]\frac{5x-10}{x-4} =1[/tex]
Multiply by x-4 to get rid of the denominator.
[tex](x-4)\frac{5x-10}{x-4} =1(x-4)[/tex]
[tex]5x-10=x-4[/tex]
Add 10
[tex]5x=x-4+10[/tex]
Subtract x
[tex]5x-x=-4+10[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]\frac{4x}{4}=\frac{6}{4}[/tex]
[tex]x=\frac{6}{4}[/tex]
Simplify by 2.
6/2 = 3
4/2 = 2
[tex]x=\frac{3}{2}[/tex]
-----------------------------------------------------------------------
3.
[tex]\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4[/tex]
Same denominator, add numerators.
[tex]\frac{x^2-7x+10+1}{x}=x+4[/tex]
[tex]\frac{x^2-7x+11}{x}=x+4[/tex]
Multiply by x to get rid of the x.
[tex](x)\frac{x^2-7x+11}{x}=(x+4)(x)[/tex]
[tex]x^2-7x+11=x^2+4x[/tex]
Subtract [tex]-x^2-4x[/tex]
[tex]x^2-7x+11-x^2-4x=0[/tex]
Combine like terms;
[tex]-11x+11=0[/tex]
Subtract 11.
[tex]-11x=-11[/tex]
Divide by -11
[tex]x=\frac{-11}{-11} \\x=1[/tex]
-------------------------------------------------------------------------
4.
[tex]\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}[/tex]
It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.
[tex]\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}[/tex]
Now, since we have the same denominators, we can simply subtract numerators.
[tex]\frac{x^2+7x+10-(x^2-13x+40)}{5x-30} =-\frac{x}{x-6}[/tex]
Distribute the negative sign.
[tex]\frac{x^2+7x+10-x^2+13x-40}{5x-30} =-\frac{x}{x-6}[/tex]
Combine like terms;
[tex]\frac{20x-30}{5x-30}=-\frac{x}{x-6}[/tex]
Factor.
I can see that I can factor a 5 on both numerator and numerator. This will allow me to simplify them.
[tex]\frac{(5)(4x-6)}{(5)(x-6)} =-\frac{x}{x-6}[/tex]
Simplify.
[tex]\frac{4x-6}{x-6}=-\frac{x}{x-6}[/tex]
Multiply by x-6
[tex](x-6)\frac{4x-6}{x-6}=-\frac{x}{x-6}(x-6)[/tex]
This will simplify the denominators.
[tex]4x-6=-x[/tex]
Add x and 6.
[tex]4x+x=6\\[/tex]
Combine like terms;
[tex]5x=6[/tex]
Divide by 5.
[tex]x=\frac{6}{5}[/tex]
The base of a rectangular prism has an area of 252525 square meters. The height of the rectangular prism is 444 meters. What is the volume, in cubic meters, of this rectangular prism?
Answer:Height:
15.8 meters
Explanation: For a rectangular prism: XXX Volume = height × width × depth and XXX Area (of base) = width × depth ⇒ height = Volume Area = 306.52
19.4 = 15.
Answer: 100 CUBIC METERS
Step-by-step explanation:
what is the value of x in the equation 3-2x=-1.5
Answer:
3-2x=-1.5
add -3 on both sides
-3+3-2x=-1.5+3
-2x=1.5
x=1.5/-2
Answer:
x= 9/4
Step-by-step explanation:
3 - 2x = -1.5
-2x = -4.5
x = 4.5/2
Simplified x = 9/4
What is 1+1= Lol :) JUST ANSWER PLZZ
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70 degrees, and 65 degrees c three angles measuring 10 degrees, 25 degrees, and 145 degrees d three sides measuring 9 m, 15 m, and 9 m
Answer:
A,C,D are triangles, B is not.
Step-by-step explanation:
Let 3 sides of a triangle be a,b,c.
A triangle have the sum of 3 angles = 180 degree
and
a-b<c<a+b (similar for a and b)
a. three sides measuring 6 cm, 8 cm, and 10 cm
Satisfied the a-b<c<a+b property -> triangle
b. three angles measuring 40 degrees, 70 degrees, and 65 degrees
Total of 3 angles = 40+70+65 = 175 > 180
-> not triangle
c. three angles measuring 10 degrees, 25 degrees, and 145 degrees
Total of 3 angles = 10+25+145 = 180
-> triangle
d. three sides measuring 9 m, 15 m, and 9 m
Satisfied the a-b<c<a+b property -> triangle
Answer:
C
All triangle must equal 180, 40 + 70 + 65 = 175
What’s the value of the expression 16 -3/4
Answer:
15 1/4
Step-by-step explanation:
16-3/4
64/4-3/4
61/4
15 1/4
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after a days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
Which object shown below could we slice perpendicular to its base/face to create a cross-section whose shape has two edges, one straight and one curved?
This question is not complete because it lack the options to choose from.
Complete question:
Which object shown below could we slice perpendicular to its base/face to create a cross-section whose shape has two edges, one straight and one curved?
A- Cone
B- Cube
C- Cylinder
D- Sphere
Answer:
A- Cone
Step-by-step explanation:
A cone is a one of the geometric shapes in which objects exist in that we have. A cone is 3 Dimensional shape.
A cone has a top point and a base and it is formed when a group or send of lines are drawn from the top point and it's connects to the both sides of the base.
A cone is a shape that when we slice the perpendicular to its base/face, we create a cross-section and the resulting shape has two edges, one straight and one curved.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 4 to 7. The box extends from 7 to 14 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 14 to 18. All values estimated. About what percent of Brad's fantasy football leagues have fewer than 7 teams? Choose 1 answer: (Choice A) 0% (Choice B) 25% (Choice C) 50% (Choice D) 75% (Choice E) 100%
The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.
The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.
20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8.a 9.acb
Step-by-step explanation:
good luck
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
The legs of a right triangle are 6 feet and 8 feet long. What is the area of
the triangle?
Answer:
24 ...mm
Step-by-step explanation:
mark me brainliest
Answer:
24 feet
Step-by-step explanation:
The area of a triangle is worked out by
Base x height x 1/2
8 x 6 = 48
48/2= 24
Hope that helped :)
20 POINTS!!!!!!!!!!!!!!!!
Answer:
The result should be:
Order: 8
Angle: 45°
Step-by-step explanation:
-It It takes 8 times to get to the same "original position" (where you originally were, before you start rotating) and every single turn, is 45 degrees:
8 turns to get to the original position.
-To get the angle, divide 360 by 8:
[tex]\frac{360}{8} = 45[/tex]
45° in every single turn.
-So, therefore the results are:
Order: 8
Angle: 45°
Answer:
this isnt 20 points
Step-by-step explanation:
help me idk how do do this ;-;
Answer:
idk either
Step-by-step explanation:
Can u guys help pls?
Answer:
[tex](2 {n}^{2} ) ^{4} \\ 2 \times 2 \times 2 \times 2 \times {n}^{2 \times 4} \\ {2}^{4} \times {n}^{8} \\ = 16 {n}^{8} [/tex]
Answer B is correct11-n÷3 for n=6 Please solve
Answer: 9
11-6 (over fraction) 3
11-2 = 9
keisha estimates 259 + 279 by rounding each number to the nearest 10. what is keisha's estimate of the sum?
Answer:
540
Step-by-step explanation:
259 + 279 = 538
Rounded to nearest 10
= 540
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
When a grizzley bear hibernates it normal heart rate drops 10 beats per mintue which is 20% of it normal vaule. What is the grizzley bear normal heart rate when not hibernation
Answer:
the normal heart rate of the grizzley bear = 12.5 beats per minute
Step-by-step explanation:
let the normal heart rate = x
hibernating heart rate = 20% of normal value = x - 10
20% of x = x - 10
20/100 of x = x - 10
0.2 × x = x - 10
0.2x = x - 10
x - 0.2x = 10
0.8x = 10
x = 10 ÷ 0.8 = 12.5 beats per minute
Please help me now plz I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!
