Answer:
G1 = -5 G2 = -1
Step-by-step explanation:
plug in the values given into X and solve
g1= 1/4(-4) -4
g1 = -1 -4
g1 = -5
g2= 1/4(12) -4
g2= 3 -4
g2= -1
Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=
Answer:
(0.2, 3.2)
Step-by-step explanation:
line A, in red, has equation y=x+3 times 3 3y=3x+9
line B, in blue, has equation 2x+ 3y = 10
-3x + 3y = 9 subtract thes two equations
(2x - -3x) + (3y -3y) = 10 - 9
5x + 0y = 1
5x = 1
x = 1/5 or 0.2
y = x + 3
y = 0.2 + 3
y = 3.2
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Multiply.
−3.9(−5.6)(3)
The product is
Answer:
65.52
Step-by-step explanation:
−3.9×−5.6×3
Multiply −3.9 and −5.6 to get 21.84.
21.84×3
Multiply 21.84 and 3 to get 65.52.
65.52
If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?
Answer:
11.5
Step-by-step explanation:
x=8 & y=23
then
x=4 is half so you divide by 2
so half of 23 would be 11.5. If you are rounding then it would be 12
In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
Which of the following rational functions is graphed below?
Answer:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
Step-by-step explanation:
Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.
A discontinuity in a rational function is a point in which the denominator of the function is 0.
For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:
[tex]A = \frac{1}{(x-1)(x+1)}[/tex]
1/2 x 288 = ???????
What is the answer?
Answer:144
Step-by-step explanation:
Use a calculator
or 1/2 x 288 = 288/2 = 144
Answer: 144
Step-by-step explanation:
I'm assuming that the "x" in this statement is a multiplication symbol.
Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.
Therfore the answer is 288/2 which is 144.
4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answer:
5 m/s
Step-by-step explanation:
what is the measure of angle p enter your answer as a decimal in the box round only your answer to the nearest hundredth
help me please!!!!! and thank you!
Answer:
After 5 minutes, the submarine is at 240 ft below sea level.
Step-by-step explanation:
-300 + 16z
After 5 minutes, z = 5.
-300 + 16(5) = -300 + 80 = -240
After 5 minutes, the submarine is at 240 ft below sea level.
A company bought 7 machines. Each machine weighs 642.4 pounds. How many pounds do the 7 machines weigh altogether?
Answer:
4496.8 pounds
multiply 642.4by7
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
A garden watering bucket has 3000 milliliters
of water in it, but there is a hole that is leaking
18 milliliters every minute. How much
water remains in the container after
a certain number of minutes?
Answer:
3000 - 18*x
Step-by-step explanation:
if "a certain number of minutes" = x then
water remains in the container = 3000 - 18*x
Answer:
y = 3000 - 18x
Step-by-step explanation:
To describe the scenario of a garden watering bucket with 3000 milliliters of water and a leak of 18 milliliters per minute, we can create a function.
Let's denote the number of minutes as 'x' and the amount of water remaining in the container as 'y'. The function can be represented as:
y = 3000 - 18x
In this function, 3000 represents the initial amount of water in the container, and 18x represents the amount of water leaked after x minutes.
Therefore, the function that describes the scenario is:
what expression has a term with a base of 8
z^8
8^4
3xy+8
8m
What are the solutions to 2(x+1^2)=18
Answer:
2( x + 1) = 18
2x + 2 = 18
2x = 16
x = 16/2 = 8
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
What is the volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
97.7
Step-by-step explanation:
what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21
Answer:
b
Step-by-step explanation:
Which side lengths form a right triangle?
Help me somebody pleaseeee
PLS HELP DUE SOON!!!
Answer:
its both.
Step-by-step explanation:
RNA and DNA are made up of nucleotide(s).
Answer: Both DNA and RNA
Step-by-step explanation:
a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces
Step-by-step explanation:
length of 1st piece = x inch
length of 2nd piece = 3x inch
length of 3rd piece = 4x inch
x + 3x + 4x = 56
8x = 56
x = 7
Thus,
length of 1st piece = 7 inch
length of 2nd piece = 3 × 7 = 21 inch
length of 3rd piece = 4 × 7 = 28 inch
is this right please hep
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
yes you are right! the answer is c
Step-by-step explanation:
**reminder: the hypotnuse is always your longest side**
first do 5 square = 25
then do 12 squared = 144
now add 25+144= 169
and finally you do 169 square root which equals 13
Hope this helped!
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=108
Step-by-step explanation:
Ling earns $12 each time he shovels his neighbor’s driveway. He earned a total of $108 shoveling the driveway last winter. Which of the following equations could be used to find w , the number of times Ling shoveled his neighbor’s driveway last winter?
Answer:
12w=180
Step-by-step explanation:
hey its me
How many 5/6 s are in 3?
Step-by-step explanation:
If we think over it, we could recognise that this question is like
How many 3's are in 6?
Probably the answer is
2
, as
6
÷
3
=
2
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Answer:
3/(5/6)
Step-by-step explanation:
multiply the numerator and denominator by 6
18/5
what its 1010 + 800 pls help
Answer:
1,810 hope this helps ;)
Answer:
1810
Step-by-step explanation:
lol, did I get trolled?
x/8.5=16/4
what's the answer
Is this model a function?
Explain.
(Someone pls be a decent human being and not send links, all links will be reported)
Answer:
Yes, that model is a function.
Step-by-step explanation:
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
And the model shows that each domain ( x ) only goes to one codomain ( y ) which is what a function is.
Question 1 of 10
Using the graph below, select all statements that are true.
.
+10
O A. (5.1) = 5
OB. This graph is one-to-one.
C. f(0.6) = 0
D. This is the graph of the greatest integer function,
E. (-3.2) = -3
SUBMIT
Answer:
the answer is going to be b