Answer:
-2.5x-.5
[tex]y=\frac{2}{3}x-1[/tex]
draw the dotted line (3/7)x-3 and shade below it
Step-by-step explanation:
First, we need the slope
Use the slope formula:
[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]
so we have
y= -2.5x+b
Solve for b by plugging in coordiantes
-8= -2.5(3)+b
-8= -7.5+b
b= -.5
Put it together and get -2.5x-.5
2.)
A line is parallel to another line if they have the same slope (and different y intercepts)
So in the formula y=mx+b we knowe that m= 2/3
Now it's just a matter of solving for B
plug in the required coordinate to do this
-1=(2/3)*0+b
-1= b
Put it all together to get
[tex]y=\frac{2}{3}x-1[/tex]
3.)
put this into slope intercept form
3x-7y>21
3x-21 > 7y
(3/7)x-3 >y
To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)
Elena paga por su recibo de teléfono S/. 132,80 y de luz S/. 75,20. Si 3 meses del año pagó igual. ¿Cuánto pagó por este tiempo?
Answer:
Por 3 meses Elena pagó $624.
Step-by-step explanation:
Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:
132,80 + 75,20= 208
Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.
208*3= 624
Entonces, por 3 meses Elena pagó $624.
Given that 3(x-1)-2(x-1)=7, then the value of x is MI 6 7 (A) (B) (C) (D) 8 9
Answer:
x = 8
Step-by-step explanation:
Given
3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side
3x - 3 - 2x + 2 = 7 , simplifying
x - 1 = 7 ( add 1 to both sides )
x = 8
Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?
Answer:
[tex]\approx 68\%[/tex]
Step-by-step explanation:
For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].
*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.
Answer:
68.26%Step-by-step explanation:
Given:
Mean μ = 5 inStandard deviation σ = 0.1 inThe squares between 4.9 and 5.1 represent:
x = 5 ± 0.1Relevant z- scores are:
z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1From the z-score table we get:
z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% markThe data between these points is:
84.13% - 15.87% = 68.26%Solve for x.
3x +13
6x + 5
x = [?]
Answer:
nessa resposta da 10 beijos
Answer:
x = 18
Step-by-step explanation:
The given angles are same- side exterior angles and sum to 180°, that is
6x + 5 + 3x + 13 = 180
9x + 18 = 180 ( subtract 18 from both sides )
9x = 162 ( divide both sides by 9 )
x = 18
Area of the base=
A) 8 pie square units
B) 16 pie square units
C) 64 pie square units
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
Answer: 16[tex]\pi[/tex] square units
Step-by-step explanation:
This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve
[tex]\pi 4^2\\\pi 16\\16\pi[/tex]
Anyone know the answer to this ??
Answer:
18 i think sorry if i am wrong
Step-by-step explanation:
Can someone work please so I can understand how
Answer:
[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].
By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
Solving, we get:
[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]
Therefore, we have:
[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]
Answer: Choice A) [tex]\frac{4\sqrt{14}}{7}[/tex]
======================================================
Explanation:
Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.
This is because tan = opposite/adjacent.
Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so
sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)
The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.
sin = opposite/hypotenuse
csc = hypotenuse/opposite
---------
So we get the following
[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]
So that's why the answer is choice A.
BD is the angle bisector of
Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].
Solution:
BD is the angle bisector of ABC. So,
[tex]m\angle ABD=m\angle DBC[/tex]
[tex]3x=x+20[/tex]
[tex]3x-x=20[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=\dfrac{20}{2}[/tex]
[tex]x=10[/tex]
Now,
[tex]m\angle DBC=(x+20)^\circ[/tex]
[tex]m\angle DBC=(10+20)^\circ[/tex]
[tex]m\angle DBC=30^\circ[/tex]
And,
[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]
[tex]m\angle ABC=(4x+20)^\circ[/tex]
[tex]m\angle ABC=(4(10)+20)^\circ[/tex]
[tex]m\angle ABC=(40+20)^\circ[/tex]
[tex]m\angle ABC=60^\circ[/tex]
Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].
Helppppp
Solve for x.
X= [?]
5х – 5/2x + 10
Answer:
if you want to find how many degree for x
Step-by-step explanation:
you must collect all degree and completing 180 degree for this, (5x-5)+(2x+10)=180 7x=175 x=10,12
Now,
5x - 5 + 2x + 10 = 180° ( linear pair )
7x + 5 = 180°
7x = 180° - 5°
x = 175°/7
x = 25°
I hope it's help u...
Mark me as brainliest....
I’ve never understood this, please help!
Answer:
-80
Step-by-step explanation:
So basically what we need to do is find the value of x that satisfies the equation.
When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.
So in this case, we need -6 = -6.
To find this lets solve the equaion step by step:
-6=x/8+4
So first off, you always want to get the variable on one side, and the number on the other.
This means you want to subtract the 4 from both sides, leaving x/8:
-6=x/8+4
-4 -4
-10=x/8
Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.
If this is a bit confusing, here is an example:
100=10x
We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.
You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.
So in the example above you would divide by 10, since 10x/10 would equal 1x.
Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:
100/10 =10x/10
=
10=1x
We have in our equation:
-10=x/8
Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.
In this case we multiply by 8, since its x/8:
-10 * 8 = x/8 * 8
=
-80=x
So x is equal to -80.
I hope you understand it better now :D
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
Who wants to help me
Answer:
Step-by-step explanation:
Help me please I need help .
Answer:
cos A =1.0
sin B=0.02
tan C=9.1
The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the best
approximation for the number of students who scored 79 or better?
Answer:
the number of student that took the test is missing
I think it is 100?
79 is 1 sigms (1 standard deviation) above the mean....
1 sd is 84% ... 16% are above the 79
multiply the students that took the test by .16
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 159. i just took the test and got it right
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
The variable 100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answer:
second option is correct
Simplify fully
(x²+3)² - (x²-1)²
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Jason Witten's Salary Negotiation Let's say that tight end Jason Witten (a football player) was given two options when negotiating his contract for the 2017 football season (which was his final season, ). Option 1 was that he would be paid an additional $0.01 (yes one red cent) if he makes only one catch for the season, $0.02 if he makes a total of two catches, $0.04 for a total of three catches and so on, doubling the amount with each catch. Option 2 was that he would be paid a flat $2,000,000 increase from the previous year. Basing this decision on the 2012 season (where he had a career high of 110 total receptions/catches), which option would increase his salary more? (In other words, is it better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110 or is it better to have a flat $2 million increase?)
Answer:
Option 1: It is better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110
Explanation:
If Jason were to be paid per catch given that he makes a total of 110 catches for the 2017 season in his new contract, he would make a total of :
0.01 × 2^109 = $6.4903711e+30(calculator result, means 6 then 30 digits after)
Therefore it is better for Jason to be paid per catch and not a flat fee of $2000000
In a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.
Draw a Venn Diagram to help you answer the questions.
Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!
Answer:
This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total
Step-by-step explanation:
Solve this problem.
A pair of inline skates that usually sells for $40 is on sale at a 30% discount.
What is the sale price?
Answer:
$28
Step-by-step explanation:
original price = $40
discount = 30%
discount amount = 30% of original price
=30/100 * 40
=$1200/100
=$12
sale price = original price - discount amount
=$40 - $12
=$28
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
What is the angular velocity of a point that rotates through
radians in 24 second
What’s the answer?
Answer:
Option A
Step-by-step explanation:
Angular velocity of an object is defined by,
Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]
Here, Δθ = Change in angle of rotation
Δt = Duration or time
In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds
Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]
= [tex]\frac{7\pi }{48}[/tex] radians per second
Option A is the answer.
The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
ΔCAP ∼ ΔHIT. Solve for y, given that b = 19. (Round your answer to 1 decimal place, if necessary.)
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;
[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:
[tex]CA \to HI[/tex]
[tex]AP \to IT[/tex]
[tex]PC \to TH[/tex]
Take for instance:
[tex]CA = y[/tex] [tex]HI = b[/tex]
[tex]AP = 20[/tex] [tex]IT = 38[/tex]
Then the solution is:
[tex]CA : HI = AP : IT[/tex]
Substitute values for CA, HI, AP and IT
[tex]y : b= 20 : 38[/tex]
Express as fraction
[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]
Multiply both sides by b
[tex]y= \frac{20 }{ 38}*b[/tex]
Substitute 19 for b
[tex]y= \frac{20 }{ 38}*19[/tex]
[tex]y= \frac{20 }{ 2}[/tex]
[tex]y=10[/tex]
Bari Jay, a gown manufacturer, received an order for prom dresses from China. Her cost is $32 a gown. If her markup based on selling price is 76%, what is the selling price of each gown? (Round your answer to the nearest cent.)
Answer:
$56.32
Step-by-step explanation:
Find the selling price by multiplying the original cost by 1.76:
32(1.76)
= 56.32
So, the selling price is $56.32
I need help can someone please answer this for me
This graph represents a quadratic function. Which expression is a factor of the function's equation?
A 0
B x-4
с. x
D X + 4
what is the mean of the data set 8, 8, 9, 11, 24
Answer:
12
Step-by-step explanation:
8+8+9+11+24=60
60/5=12
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}[/tex]
[tex]\mathsf{\dfrac{8+8+9+11+24}{5}}[/tex]
[tex]\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}[/tex]
[tex]\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
set up an equation and solve for x! 25 points!
Answer:
7
Step-by-step explanation:
70+16x-2
68+16x=180
16x=180-112
x=112/16
x=7
Answer:
x = 7
Step-by-step explanation:
70 + 16x - 2 = 180 degree (being co interior angle)
68 + 16x = 180
16x = 180 - 68
16x = 112
x = 112/16
x = 7
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879