Answer: B. −9
Step-by-step explanation: -7--(-2)
−7+−2
−9
Consider the following equation. Graph 5x + 6y = 30
PLEASE SHOW STEPS
Answer:
Step-by-step explanation:
Convert the equation into slope-intercept form.
5x-6y =30 Subtract 5x from each side
-6y = -5x + 30 Multiply each term by -1
6y = 5x – 30 Divide each side by 6
y = ⅚x - 5
2. Create a table of different x and y values,
x ⅚x – 5 y
-12 ⅚(-12) – 5 -15
-6 ⅚(-6) – 5 -10
0 ⅚(0) – 5 -5
6 ⅚(6) – 5 0
12 ⅚(12) – 5 5
3. Convert the table to ordered pairs
(-12,-15)
(-6, -10)
(0, -5)
(6, 0)
(12, -5)
4. Plot the points and draw a line through them.
X and y are integers
y=3
x=1
1+3=4
(X+3)4>3(y)
Area of triangle with points (7,7) (10,3) (7,3)
Answer:
The area of the triangle is of 6 units squared.
Step-by-step explanation:
Representation of the triangle:
This triangle, in the cartesian plane, has the vertices at these following points.
(7,7)
| -> 4 units down
(7,3) --- (10,3) -> 3 units to the right.
This can be represented as a right triangle with sides 4 and 3.
Area of a right triangle:
The area of a right triangle is the multiplication of the lengths of its sides divided by 2. So
4*3/2 = 12/2 = 6.
The area of the triangle is of 6 units squared.
It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.
11 10 16 15 18 12 25 20 18 24
Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
please help i will give 10 points
Answer:
21 feet²
Step-by-step explanation:
To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.
There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.
The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.
5 · 3 = 15
The area of our first rectangle is 15 ft².
Next, we will find the area of the right rectangle, by multiplying 3 by 2.
3 · 2 = 6
The area of the second rectangle is 6 ft².
Now we can add the areas, 15 and 6, together to find the total area.
15 + 6 = 21
The area of the figure is 21 ft².
I hope this helps ^^ Good luck ∩_∩
Helpp ASAP. Due at 11:59 and I don’t understand none of it
Answer:
its 504 ok...........................
Hope It Helps504. If you multiply all the numbers together, you get all the possible combinations of such events
A. 152 + 192
OB. 15+19
c. 15+19
D. 162 +19
Answer:
By using the pythagorean theorem a^2 + b^2 = c^2
D is the correct answer Where PQ
= √15^2+√19^2
=√ 225 + √361
= √ 586
Length of PQ = √586 = 24.2074368738(ans)
An aquarium tank that measures 2.4 meters high, 6 meters long, and 1.5 meters wide is completely filled with water. The density of water is 1,000 kilograms per cubic meter. What is the mass of the water in the tank?
A:46 kilograms
B.101 kilograms
C.9,900 kilograms
D.21,600 kilograms
Answer:
D.21,600 kilograms
Step-by-step explanation:
The volume of the tank is Length x Width x Height (6*1.5*2.4)
So the volume is 21.6 cubic meters.
Therefore, there are 21.6 cubic meters of water.
The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)
The mass of the water in the tank is 21,600 kg
Find the equation of a line that passes through (5.3) and (4,5).
Answer:
y=-2x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-5)
m=2/-1
m=-2
y-y1=m(x-x1)
y-3=-2(x-5)
y=-2x+10+3
y=-2x+13
Directions: Find the surface area of the following solid figures using the given
formula Fill in the blank with the missing number.
(help, i have many assignments to do)
Answer:
for number 2:
(6cm x 4cm) + (6cm x 3cm)
24cm + 18cm + 12cm
2 x 54cm
108cm
for number 3:
80m + 1920m
2,000m
please help 75 points
Answer:
The median for the first plot is 3
The median for the second plot is 7
The largest value for the first plot is 6
So the difference for the first plot is 6 - 3 = 3
The largest value for the second plot is 10
So the difference for the second plot is 10 - 7 = 3
This means the variation quadrial is bigger for the red plot, but the difference beetween the points is equal.
Answer:
not 75 points
Step-by-step explanation:
80% of the class finished a project early. If 28 students finished early, how many students are in the class
What value of x satisfies this equation?
10(1.5)^(3x) = 80
Round your answer to the nearest hundredth.
Answer:
X = 1.71
or
X = 1.70951
Step-by-step explanation:
Good Luck!
The required value of x for the given equation is approximately 1.71.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
Equation:
The given equation is [tex]10(1.5)^{3x} = 80[/tex]
Divide both sides by 10.
[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]
Taking log on both sides, we get
[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]
Divide both sides by 3log(1.5).
x = log 8/ 3log(1.5)
x = 1.71
Therefore, the required value of x for the given equation is approximately 1.71.
Find out more about 'Equation' here:
brainly.com/question/11162571
#SPJ2
STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir
Answer:
75 boys
Step-by-step explanation:
[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]
4x = 300
x = 75
Answer:
75
Step-by-step explanation:
5/4 = x/60
4x = 300 300 divided by 4 equals 75
How do I solve this?
Answer:
need help too
Step-by-step explanation:
Slove It!!! I need help!
Answer:
6 should be the correct answer!
Step-by-step explanation:
all of the work I did, you can ignore these:
1 x 2 = 2
2 x 2 = 4
2 x (2 - 1) = 2 x 1 = 2
2 + 4 = 6
Answer:
The answer is 6
Step-by-step explanation:
A researcher investigated the relationship between alcohol intake and reaction time in a driving simulation task. Participants drank either one ounce or three ounces of alcohol and were then measured on braking speed at a simulated red light. The independent variable was the
Answer:
Alcohol intake
Step-by-step explanation:
The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.
How do I write -x + 2y= -4 in slope intercept form
Answer:
ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps
Step-by-step explanation:
Answer:
y = 1/2 x - 2
Step-by-step explanation:
Slope-intercept form:
y = mx + b
You need to solve for y.
-x + 2y = -4
2y = x - 4
y = 1/2 x - 2
Will give brainliest to first correct answer!! No links!! Help!!
The data below shows the score of some students on a test
21,27,29,20,22,33,23
(Pic attached)
Which box plot represents the data?
Answer:
the top box plot should be the way to go
Answer:
this is the answer
Step-by-step explanation:
I hope it was helpful
B is the answer
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
Answer:
=28
Step-by-step explanation:
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
3 (20-4) -4 ( 12 - 7)
60 - 12 -48 +28
= 28
3 ( 5p - p ) - 4 ( 3p - 7 ) =
3 ( 4p ) - 12p + 28 =
12p - 12p + 28 =
0 + 28 = 28
Thus the value of p is not importent at all and the answer is always 28 .
Question 1 of 14
Which of the equations or inequalities below are true?
A. -4 + 6 = 1
B. -4 + 6 7-2
C. -4 + 6 24
D. -4+6 s 2
question seems incomplete
there are no notations for inequalities
Solve the right triangle. Round decimal answers to the nearest tenth.
PLS PLSS HELPPPP 25 POINTSSS
Answer:
Step-by-step explanation:
[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]
Rounding off to nearest tenth:
b ≈ 12.6
tanθ = 6/12.6
[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]
Hence angle A ≈ 25.5
Angle B = 180-25.5-90
Angle B = 64.53665494
Hence, Angle B ≈ 64.5
Feel free to mark as brainliest
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
Good luck!
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab
pls solve and give the explanation
Answer:
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Step-by-step explanation:
if:
a + b + c = 0
then we can rewrite:
c = -a - b
Now we can replace this in our expression:
[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]
Now we can rewrite:
(-a - b)^2 = a^2 + 2*a*b + b^2
Then we can rewrite our expression as:
[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]
Let's keep simplifying this:
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]
Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]
Then the expression is equal to -2
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Help please ❤️ !
Write a linear equation in slope intercept form given the
Slope = 2 and the y intercept = (0,-4)
Answer:
y = 2x - 4
Step-by-step explanation:
y = (slope)x + (y intersept)
y = (2)x + (-4)
y = 2x - 4
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
A digital camera usually costs $700. This week it is on sale at a discount of 20%. What
is the sale price of the digital camera?
Answer:
560
Step-by-step explanation:
So we know that 20% goes into 100% 5 times.
700/5 will give you a clean 140, meaning 20% of the price is 140
Thus 700-140 and you get 560 dollars
If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer
Length = 4
Width = ?
Area = 60
Answer:
the width is 15
Step-by-step explanation:
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing