Answer:
Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.
Using distance formula for AB we obtain,
AB^2=(x2-x1)^2 + (y2-y1)^2
5^2=(3+1)^2 + (1-y)^2
25-16=(1-y)^2
9=(1-y)^2
1-y=3
y= -2
Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.
A container of water holds 128 fluid ounces. Tyler drinks 4 fluid ounces of water every hour.
_________________ fluid ounces are in the container after 8 hours
(look at picture for more understanding)
Answer:96
Step-by-step explanation: 4x8 = 32 so there will be 32 fluid ounces gone. subtract that from 128 to get 96.
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer: 135
Step-by-step explanation:
it increased by 20%
so the 162 is 120% of the first price
so if we multiply 162 by 100/120 we will get the first price
100/120=5/6 and 5/6*162 is 135
Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.
Answer:
The minimum value is 2.8. The vertex is (-7, 2.8).
Step-by-step explanation:
Through the x^2 term we identify this as a quadratic function whose graph opens up. The minimum value of this function occurs at the vertex (h, k). The x-coordinate of the vertex is
-b 11.2
x = --------- which here is x = - ------------ = -7
2a 2(0.8)
We need to calculate the y value of this function at x = -7. This y-value will be the desired minimum value of the function.
Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields
f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8
The minimum value is 2.8. The vertex is (-7, 2.8).
Explain to me what cathyrn did wrong based of the line plot? I’ll mark brainliest if I have one
Answer:
Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.
Hope this helped!
Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
Ben bought 3.2 pounds of oranges.
The oranges cost $1.60 per pound.
How much money did Ben spend on
oranges?
Answer:
$5.12
Step-by-step explanation:
Multiply the cost per pound price by how many pounds of oranges Ben bought
1.60 * 3.20 = 5.12
Points A and B have the same x-coordinates but opposite y-coordinates. point A is 4 units to the left and 3 units up. Point B is 4 units to the left and 3 units down. How many units away are each of the points from the y-axis? 3 4 6 7
Answer:
4 Units
Step-by-step explanation:
The x-coordinate of points A and B is -4, the y-axis vertically at x=0.
Therefore point A and B are 4 units away from the x-axis.
Answer:
4
Step-by-step explanation:
This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?
Answer:
64
8² = 64
4³ = 64
find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
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Help me please. Please number 3 I need help
Answer:
Because they are both using (g units rates).
Step-by-step explanation:
Find the image of D under the translation described by the translation rule T<-11, 8>
- E
- C
- A
- B
Answer:
B
Step-by-step explanation:
(x +(-11)) means that you move point D to the left by 11.
(y + 8) means that you move the point D up by 8
this will give you a point B
Tammy opened a credit card with a 19% simple interest rate to purchase a $879 laptop. If she pays off the laptop in 18 months, how much will she have paid in total?
Answer:
$1146.216
Step-by-step explanation:
Given data
Principal= $879
Rate= 19%
Time = 18months= 1.6 years
The expression for the simple interest is
A=P(1+rt)
substitute
A=879(1+0.19*1.6)
A= 897(1+0.304)
A= 879*(1.304)
A= $1146.216
Hence the amount to be paid is $1146.216
A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are not replaced
Answer: 2 / 15
Step-by-step explanation:
3 red / 10 total
4 white / 9 total
3/10 * 4/9 = 12/90 = 2/15
Pls explain so I can show my work!!
Answer:
He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.
Christopher needs to buy wooden boardes to build a box that is 12 inches long, 6 inches wide, and 8 inches high. How many square inches of wooden boards is needed to build the box
Answer:
432 in²
Step-by-step explanation:
To Obtian the square inches of wooden boards required :
Area of box = 2(l * w) + 2(l * h) + 2(h * w)
Length = 12 ; width = 6 ; height = 8
Hence,
Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)
Area of box = 2(72) + 2(96) + 2(48)
Area of box = 432 in²
Is this correct? Answer if you know the answer and correct me if I am wrong.
Answer: Is correct trust me.
Step-by-step explanation:
c) Out of 700 full marks rumba got 250 markes failed 30 marks what is
the pass percentage?
here's the solution,
rumba got 250 marks !!
if she had got 30 more marks then she would had passed the exam,
So, passing marks :
=》250 + 30
=》 280 marks
now, passing percentage :
=》
[tex] \dfrac{passing \: \: marks}{total \: \: marks} \times 100[/tex]
=》
[tex] \dfrac{280}{700} \times 100[/tex]
=》
[tex] \dfrac{280}{7} [/tex]
=》
[tex]40[/tex]
Hence, the passing percentage is 40%
plz help PLEASE.........
Answer:
7x² + 11x - 18
Step-by-step explanation:
13x² - 8 + 11x - 6x² - 10
13x² - 6x² + 11x - 8 - 10
7x² + 11x - 18
Can someone help me please
Answer:
A. T > 50
Step-by-step explanation:
Which expression is equivalent to 2 3/5 divided by 7/9?
Step-by-step explanation:
[tex]2 \frac{3}{5} \div \frac{7}{9 } \\ \frac{13}{5} \times \frac{9}{7} \\ = \frac{117}{35} [/tex]
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB?
Answer:
b) ∠ACB = 25 degrees
Step-by-step explanation:
arc BA = 50° because central angle AOB = 50°
∠ACB is inscribed angle of 50°, so it is (1/2)(50) = 25°
The measure of angle ACB is 25°. The correct option is a. 25 degrees
Circle GeometryFrom the question, we are to determine the measure of angle ACB
From one of the Circle theorems, we have that
The angle at the center of a circle is twice the angle at any part of the circumference.
That is, in the given circle
<AOB = 2 × <ACB
Then,
<ACB = 1/2(<AOB)
<ACB = 1/2 × 50°
<ACB = 25°
Hence, the measure of angle ACB is 25°. The correct option is a. 25 degrees
Learn more on Circle theorems here: https://brainly.com/question/16879446
Help is this correct??
Answer:
if the cubes were hidden, but I belive the answer is none
Step-by-step explanation:
Answer:
Yes it is B when looking at it from top view thats what it comes out to look like great job.
[tex]e^{4x-5} -7 = 11, 243[/tex]
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
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50 PTS!!!!Which statements must be true to model a data set using a normal distribution?
The population mean must be greater than the sample mean.
The sample size, n, must be at least 30.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample mean must equal the population mean.
-There are multiple answers
Answer:
Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.
Step-by-step explanation:
Extra Answered question:
How do you determine if a distribution is normal?
Answer: In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean. It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.
I hope this is what your looking for :)
Answer:
I don't the right answers but I know these answers are incorrect:
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
Step-by-step explanation:
5 1/2in
10in
6 1/4in
Answer:
5 1/2in
10in
6 1/4inhhjghtdddyggkkjh
find the measure of each angle
Answer:
Step-by-step explanation:
m∠ 1 = 180 - 117
m∠ 1 = 63
m∠2 = the same as m∠ 1
m∠2 = 63
m∠3 is also the same b/c of the same length of the "legs" of the triangle
m∠3 = 63
Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m
Answer:
Step-by-step explanation::)
The measurement of one angle of a right triangle is 42°.
What is the measurement of the third angle?
56°
42
138
48
Answer:
48
Step-by-step explanation:
42 + 90 + x = 180
x = 48
Arjay records the number of chirps per minute (x) that crickets make at
different temperatures (™) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y= *x + 40
What is the interpretation of the slope and y-intercept of this equation?
Temperature (°F)
90
80
70
60
50
40
30
20
10
5 10 15 20 25 30 35 40 45
Chirps per minute
Answer: B
Step-by-step explanation: