Answer:
D. Neither.
Step-by-step explanation:
y = 7x + 2.
I am not sure what you want to find, but I assume you put the coordinates into the equation and find whether they fit.
A. (3, 15).
y = 7 * 3 - 2 = 21 - 2 = 19
y is not equal to 19, so A does not work.
B. (-1, -10).
y = 7 * -1 -2 = -7 - 2 = -9
y is not equal to -9, either, so B does not work.
C. A combination of the two coordinates, which we know do not work.
D. Neither. Neither of the coordinates work, so this is the answer.
Hope this helps!
Answer:
neither
Step-by-step explanation:
y=7x-2 for (3,15)
y=7(3)-2
y=19 not solution
(-1.10)
y=-7-2=-9 not a solution
Hey guys! I need answers really quickly. Thanks!
Answer:
30 cm²
Step-by-step explanation:
Step 1: Find the value of xy using the formula for area of triangle with 2 sides and an angle between
Area = ½*x*y*sinB
Area of ∆ABC = 30 cm²
sin B = sin 70 = 0.9397
Thus,
30 = ½*x*y*0.9397
30 = (x*y*0.9397)/2
Multiply both sides by 2
60 = xy*0.9397
Divide both sides by 0.9397
60/0.9397 = xy
xy = 63.85
Step 2: calculate the area of ∆PQR with the same formula used in step 1, and also, using the value of the product of x and y gotten in step 1
Area of ∆PQR = ½*x*y*sinQ
x*y = xy = 63.85
sin Q = sin 110 = 0.9397
Area = ½*63.85*0.9397
Area of ∆PQR ≈ 30 cm²
easy question please help fast, i just want to check my answer!
Answer:
false
Step-by-step explanation:
its false I think
pls help asap it math
Answer:
2133 bricks
Step-by-step explanation:
a27=1
a4=139
a27=a4+23r
1=139+23r
23r=1-139
23r=-138
r=-138/23=-6
a4=a1+3r
139=a1-18
a1=139+18
a1=157
n=a1+......+a1+26*r=a1+a1+r+......+a1+26r=27*a1+r(1+2+...+26)
=27*157-6*26*27/2=4239-3*26*27=4239-2106=2133
Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft
Answer:
Lateral surface area of cuboid = 448 ft²
Step-by-step explanation:
Given:
Height of cuboid(h) = 14 ft
Length of cuboid(l) = 9 ft
width of cuboid(b) = 7 ft
Find:
Lateral surface area of cuboid
Computation:
Lateral surface area of cuboid = 2 h(l + b)
Lateral surface area of cuboid = 2(14)(9 + 7)
Lateral surface area of cuboid = 28(16)
Lateral surface area of cuboid = 448 ft²
The ratio of boys to girls in a class of
45 pupils is 2:7. How many girls are
there in the dass?
(a) 35
(b) 20
(c) 18
(d) 15
le) 10
Answer:
The answer is option A.
35.Step-by-step explanation:
To find the number of girls in the class we must first find the total parts
That's
2 + 7 = 9
In the ratio 7 correspond to girls so the number of girls in the class are
7/9 × 45
= 7 × 5
= 35
Hope this helps you
Using Cramer's Rule, what is the value of x in the solution to the system of linear equations below
X+ 3y - 16
3x + y = 8
Answer:
x = 5
Step-by-step explanation:
Here, we want to use Crammer’s rule to find the value of x
Please check attachment for complete solution
Check all that apply. If csc0=13/5, then:
I hope this helps you
Answer: B) sin θ = 5/13 and D) tan θ = 5/12
Step-by-step explanation:
[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]
Use Pythagorean Theorem: x² + y² = r² to calculate x = 12
[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]
The painting shown is by Métis artist Leah Marie Dorion from Prince Albert, Saskatchewan. It is called Hawk Woman (2006). The frame is 2 in. wide on
each side of the square painting. Write an expression to represent the dimensions and area of the painting. Multiply, and then combine like terms.
Answer:
x^2-4x-4
Step-by-step explanation:
Dimension of the painting=x
Frame=2in wide is. Each side of the square painting
Length of the painting= x-2
Area of a square=lenght^2
=(x-2)^2
Multiply
=(x-2)(x-2)
=x^2-2x-2x+4
Combine like terms
Area of the square painting=x^2-4x-4
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
#1 Billy stacked nine pieces of wood on top of one another. If each piece was 3/4 of a foot tall, how tall was the wood pile? Round your answer to the nearest hundredth of a foot.
#2 look at the photo
please help me as soon as you can it would be greatly appreciated I’m in a hurry.
Answer:
a. 6.75 ft
b. Exponent on w is w^4
Step-by-step explanation:
a. The best thing here is to work with decimals
each piece was 3/4 foot tall which means each piece is 0.75 ft tall
Now since he staked 9, the height of the wood pile would be 9 * 0.75 = 6.75 ft
b. Firstly let’s evaluate the denominator
That becomes; 2v^-3w^8 * v^4w = 2v^(-3+4)w^(8+1) = 2vw^9
So let’s now divide this by the numerator
Since we are concerned with only the exponent on w, we place w^13 over w^9 = w^(13-9) = w^4
Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared
Answer:
GY = 10 cm
YX = 16 cm
A = πr²
A = π (26cm)²
A = 676cm² π
Step-by-step explanation:
The area of Marco's new circle is A = 676π cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be represented as r
Now , the value of r = 26 cm
And , area of the circle = πr²
On simplifying , we get
A = π ( 26 )²
A = 676π cm²
Hence , the area of the circle is 676π cm²
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ3
The complete question is attached below :
Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared
Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
What is 14v14 divided by 72 in simplest form?
Answer:
About 2.72
Step-by-step explanation:
From reading the comments, I suppose you meant v actually means x so:
14 × 14 = 196
196 ÷ 72 ≈ 2.72
Hope this helped! :)
Answer:
Hello!
I'm not sure what the " v " means but I think you meant to put x instead of v
____________________
14 x 14 = 196
196 ÷ 72 = [tex]\frac{49}{18}[/tex]
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Hope I got this right.
can someone help me answer this please
Answer: 19 degrees
Step-by-step explanation:
<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees. Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees. Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.
Hope it helps <3
Answer:
19 degrees
Step-by-step explanation:
Un comerciante vende a un cliente 20kg de arroz 12,25 kilogramos de papa y 39, 16 kilogramos de frijol el peso de los artículos vendidos es
Respuesta:
71.41 kilogramos
Explicación paso a paso:
En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:
Peso total = peso del arroz + peso de la papa + peso del frijol
Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:
Peso total = 20 + 12.25 + 39.16
Peso total = 71.41
Lo que quiere decir que el peso de los artículos vendidos es de 71.41 kilogramos
NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?
Answer:
68.26
Step-by-step explanation:
The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26
Answer:
68%.
Step-by-step explanation:
The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.
According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.
Hope this helps!
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.Find the value of the test statistic.
Answer:
a)Claims: P>0.5("MOST" of the adult erase their personal information)
b)Statistics test= 4.746
Step-by-step explanation:
we were given {p}=60% =0.60
where n= 563
since most of adults erase all their personal information online, then (p> 0.5
p=0.5
q=1-p=1-0.5=0.5
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
The value of the statistic test is 4.746 and this can be determined by using the given data.
Given :
A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.
It is given that [tex]\rm \bar{P}[/tex] = 60% = 0.60 and n = 563.
Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:
q = 1 - P = 1 - 0.5 = 0.5
Now, to determine the value of the statistic test, the following formula can be used:
[tex]\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746[/tex]
Therefore, the value of the statistic test is 4.746.
For more information, refer to the link given below:
https://brainly.com/question/23091366
If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?
Answer:
the value of x_y is 1.
hope u get it.....
Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY
what is the solution to the inequality below x<5
Answer:
The correct answer is B
Answer:
0 < x < 25
Step-by-step explanation:
laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation of 75 hours. find the probability that a randomly selected light bulb will last between 825 and 900 hours.
Answer:
0.13591
Step-by-step explanation:
What we do here is find a score of both values;
Mathematically;
z-score = (x - mean)/SD
for 825, we have (825-750)/75 = 1
For 900, we have (900-750)/75 = 150/75 = 2
So the probability we want to find is;
P(1<x<2) = P(x<2) - P(x<1)
We use the standard table for this and we arrive at;
P(1<x<2) = 0.13591
Answer:13.5
Step-by-step explanation:
Can someone please explain to me.
Answer:
A. 4.50 B. 1 : 3
Step-by-step explanation:
A.
First, think of Toby's money as 1/6x (x referring to the total amount of money) and Daoud's money as 1/2x.
It states that Toby gets 1.50, which means that 1/6x = 1.50.
To find what x is, multiply both sides by 6.
1/6x * 6 = 1.50 * 6
x = 9
Now that we know how much money there is in total, we can solve for Daoud's money. Daoud has 1/2x. We can substitute x for 9 and solve for Daoud's money.
1/2(9)
4.50
Daoud has 4.50.
B.
The problem states that Elsa gets the remaining money.
9 - (1.50 + 4.50)
9 - 6
3
Elsa gets 3.00.
Now, you can use turn solve the ratio of Toby's money and Elsa's money.
1.5 : 3
The problem states that they have to be whole numbers, so you can change the ratio to fit the requirements.
1 : 3
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Put x as 1 and the output will be 9.
y = (3x)²
y = (3(1))²
y = 3²
y = 9
True
The tens digit of a two-digit number is twice the units digits. If the digits are reversed, the new number is 18 less than the original number. Find the number.
Answer:
x=42
Step-by-step explanation:
The tens digit of a two-digit number is twice the units digits. put it in an equation:
10(2x)+x = 10x+2x+18
21x=12x+18
21x-12x=18
x=18/9=2
substitute x:
10(2x)+x = 10x+2x+18
10(2*2)+2=10(2)+2(2)+18
42=24+18
simplify z^6x^7/z^5x
Answer:
[tex]\huge\boxed{\dfrac{z^6x^7}{z^5x}=zx^6}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{z^6x^7}{z^5x}=\dfrac{z^6x^7}{z^5x^1}=z^{6-5}x^{7-1}=z^1x^6=zx^6[/tex]
Answer:
[tex]zx^6[/tex] is the simplified answer.
Step-by-step explanation:
[tex]\frac{z^6x^7}{z^5x}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\=\frac{x^7z^{6-5}}{x}\\\\=\frac{zx^7}{x}\\\\\mathrm{Cancel\:the\:common\:factor:}\:x\\\\=zx^6[/tex]
Best Regards!
solve the following system of linear equations using the elimination method
Answer:
x=-1, y=2, z=3
Step-by-step explanation:
First at all, you can divide these equations into two group. It is easier to you.
4x-2y+3z=1
3x+y+2z=5
x+3y-4z=-7
3x+y+2z=5
Then, you can simplify these group of equation that you divided.
So, we have to simplify these step by step.
First, we can simplify the first group of equation.
4x-2y+3z=1
3x+y+2z=5
We have to find which variable you want to eliminate. I choose y.
You can multiply the second equation of first group by 2 and eliminate them.
4x-2y+3z=1
6x+2y+4z=10
As the variable of y is same and we can eliminate y by addition.
4x-2y+3z=1
6x+2y+4z=10
become
10x+0+7z=11
10x+7z=11
10x+7z=11 as the third equation.
Next, simplify the second group of equation.
x+3y-4z=-7
3x+y+2z=5
Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.
We need to balance for the first equation x+3y-4z=-7 at least one variable.
We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.
3x+y+2z=5 (multiply by -3)
-9x-3y-6z=-15
x+3y-4z= -7
-9x-3y-6z= -15
Here we go! Now these group has same value and variable to eliminate.
We can eliminate these equations by addition method.
x+3y-4z= -7
-9x-3y-6z= -15
-8x+0+10z= -22
-8x+10z= -22
Furthermore, we have to combine these equations that we have simplified from the previous groups.
10x+7z=11
-8x+10z= -22
10x+7z=11 and -8x+10z= -22 as a new group.
Finally, it is time to solve these equations!!
10x+7z=11
-8x+10z= -22
First equation of the above group, we can multiply by 10. Like this:
100x+70z=110
Second equation of the above group, we can multiply by 7. Like this:
-56x+70z=-154
So, we can see there are same value from these equation which are +70z and -70z.
Now, we can eliminate this variable by sum these equations.
100x+70z=110
-56x+70z=-154
44x= -44
x= -1
When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.
When x= -1,
substitute into 100x+70z=110
100(-1)+70z=110
-100+70z=110
70z=110+100
70z=210
z=3
When z=3 and x= -1, we can substitute into x+3y-4z= -7
-1+3y-4(3)= -7
-1+3y-12= -7
3y=6
y=2
So, the answer is x= -1 , y=2 , z=3
I hope you will understand my solution and explanation. Bye!!
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day
3x-10-4
if x-3
3-164
if x=y=-25
88-y)
if =2 y = 6
6
2
if x=-12
9-10 +4
87-4
-32
4
3x + 4y - 3x
3,81-10) +5x
(2x + 6
if x = -2
-10x
1
ifr=
if x=-2
Kio-2+1
. 20th
2012
x+8y-(x)
(8x)+ 6x + 2
if x = -3
2x + 4y + xy
if x=y=2
8x + 2y
if x=1.5, y =-22
if x =-5, y =
ķ' +17-117
(x-6)+4
3r -8.rº + 7
if x = 4.5
-2x+8y
if x = 3, y = -9
(-5x) - 3x + x
if x=-3.5
if x=8
Answer/Step-by-step Explanation:
1. 3x - 10 +4 if x = 3
To evaluate, plug in the value of x in the expression given
3(3) - 10 + 4 = 9 - 10 + 4
= 3
2. [tex] \frac{x}{2} + 6x [/tex]
if x = -12
[tex] \frac{(-12)}{2} + 6(-12) [/tex]
- 6 - 72 = - 78
3. 8(x - y), if x = 2, y = 6
8(2 - 6) = 8(-4) = -32
4. x + xy, if x = 3, y = -2.5
3 + (3)(-2.5) = 3 + (-7.5)
= 3 - 7.5 = - 4.5
5. (2x)² + 6, if x = -2
(2*-2)² + 6 = (-4)² + 6
= 16 + 6 = 22
6. 3x + 4y - 3x, if x = 2, y = 4
3(2) + 4(4) - 3(2) = 6 + 16 - 6
= 16
7. [tex] -10x + \frac{4}{x} [/tex]
If x = -2
[tex] -10(-2) + \frac{4}{-2} [/tex]
20 + (-2) = 20 - 2 = 18
8. 3(8x - 10) + 5x, if x = ½
3(8*½ - 10) + 5(½)
3(4 - 10) + 2.5
3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½
9. x + 8y - (x)², if x = -5, y = ¼
-5 + 8(¼) - (-5)² = -5 + 2 - (25)
= -3 - 25 = -28
10. (8x)² + 6x + 2, if x = -3
(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2
= 576 - 18 + 2 = 560
11. 2x² + 4y² + xy, if x = ½, y = 2
2(½)² + 4(2)² + (½)(2)
= 2(¼) + 4(4) + 1
= ½ + 16 + 1 = ½ + 17 = 17½
12. 8x + 2y, if x = 1.5, y = -2.2
8(1.5) + 2(-2.2)
12 - 4.4 = 7.6
13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]
if x = 8.
[tex] \frac{5}{2}(8 - 6) + 4 [/tex]
[tex] \frac{5}{2}(2) + 4 [/tex]
= 5 + 4 = 9
14. 3x - 8x² + 7, if x = 4.5
3(4.5) - 8(4.5)² + 7
13.5 - 8(20.25) + 7
13.5 - 162 + 7 = -141.5
15. -2x² + 8y, if x = 3, y = -9
-2(3)² + 8(-9)
-2(9) - 72 = - 18 - 72 = 90
16. (-5x)² - 3x + x, if x = -3.5
(-5*-3.5)² - 3(-3.5) +(-3.5)
(17.5)² + 10.5 - 3.5
306.25 + 10.5 - 3.5 = 313.25
If f(x) = x2 + 3x - 4, find f(4).
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
~
Answer:
24
Step-by-step explanation:
Plug x as 4.
(4)² + 3(4) - 4
16 + 12 - 4
= 24
Help please!!! Which of the following represents the area of the white (unshaded) region? * A.) Area of Big triangle - Square B.) Area of Circle + Area of Square C.) Area of small triangle + Area of Circle D.) Area of Circle - Square
Answer:
A.) Area of Big triangle - Square
Step-by-step explanation:
The triangle would have been all white if the square were not shaded. So the square must be subtracted from the area of the triangle. See diagram below.