Answer:
The minimum is -4
Step-by-step explanation:
The minimum is the lowest point on the parabola
It is at (-3,-4)
The y value is the minimum of the function
The minimum is -4
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]
All squares are rectangles but not all rectangles are squares. Prove wheater this statement is true or false with an explanation
5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is closest to the probability that the next customer will order a cheese pizza?
Answer:
[tex]P(Cheese) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]Cheese = 36[/tex]
[tex]Pepperoni = 64[/tex]
[tex]Veggie = 20[/tex]
Required
[tex]P(Cheese)[/tex]
This is calculated as:
[tex]P(Cheese) = \frac{Cheese}{Total}[/tex]
[tex]P(Cheese) = \frac{36}{36+64+20}[/tex]
[tex]P(Cheese) = \frac{36}{120}\\[/tex]
[tex]P(Cheese) = 0.30[/tex]
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).
Answer:
I think the answer is The x-intercept of the boundary line is (-3/2,0).
Step-by-step explanation:
the x-intercept of boundary line is (-3,0)
Step-by-step explanation:
hope it helps thanks❤
Please help will be marked as brainliest if correct
Answer:
[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]
someone please help me!!!!!!!
Step-by-step explanation:
In the second step while opening the bracket, instead of 'a', there should be - 4a.
Answer:
From Step 2 every step is wrong
Step-by-step explanation:
Ste p 1 : 3a - 5b = 12 - 4(b + a)
Step 2 : 3a - 5b = 12 - 4b - 4a [ Last term instead - 4a she\he wrote + a ]
Step 3 : 7a - 5b = 12 - 4b
Step 4 : 7a = 12 + b
[tex]Step 5 : a = \frac{12 + b}{7}[/tex]
Which of the following are mathematical sentences? Check all that apply.
O A. 12
B. 2<4
O C. 10g
D. 8- d = 16
E. 6 + 4 = 10
F. 8-V
Answer:
A,D
Step-by-step explanation:
Answer:
Answers: A and E ✡
- - Why?
Well a mathematical sentence needs to have something to equal to.
In this case for a we have
=10 and for d =16.
Step-by-step explanation:
a square garden has an area of 6400 square find its perimeter
CAN SOMEONE HELP ME PLZ
Answer:
what is it's perimeter?
Choose the correct answer A, B, C or D.
Half of the perimeter of a rectangular piece of land is equal to 21 m
and its length is twice its width. Given that 1 m2 of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
А
1621.5 million VND
B
1690.5 million VND
Sc
С
1725 million VND
D
1759.5 million VND
Answer:
B. 1690.5 million VND
Step-by-step explanation:
Half of the perimeter of a rectangular piece of land is equal to 21 m
The full perimeter of the Land = 2 × 21m
= 42 m
Step 1
Find the Length and Width of the rectangle
Perimeter of a rectangle = 2L + 2W
Length is twice its width.
L = 2W
Hence:
42 = 2(2W ) + 2W
42 = 4W + 2W
42 = 6W
W = 42/6
W = Width = 7m
L = Length = 2W
L = 2 × 7
L = 14m
Step 2
Find the Area of the Land
Area of the rectangle = Length × Width
= 14m × 7m
= 98m²
Step 3
Given that 1 m² of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
1m² = 17.25 million VND
98m² = x
Cross Multiply
1 m² × x = 98m² × 17.25 million VND
x = 1690.5 million VND
Option B is the correct answer
The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?
Answer:
Max E=3.8 Voltage
Step-by-step explanation:
[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]
The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
What is the range of the trigonometric function cosine?The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
How do we solve the given question?We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).
We are asked to find the maximum voltage E that can be obtained from the circuit.
The voltage E = 3.8cos(110π t).
In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.
Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
When the variable attains the maximum value = 1, the value of the voltage E = 3.8*1 = 3.8.
∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
Learn more about the ranges of trigonometric functions at
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A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?
Answer:
3800
Step-by-step explanation:
Volume= Length x width x height
v=20x19x10
v=3800 inches²
Brainliest please
In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅
A. ∠C
B. ∠S
C. ∠T
D. ∠R
Answer:
b
Step-by-step explanation:
Answer: B <S
Step-by-step explanation:
Brainliest, 10 points
You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
commas and capital letters
i need the base and hight
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
17. Find the area of a triangle whose base is 6 cm and height is 8 cm.
48 square cm
24 square cm
48 cm
24 cm
Answer:
24 square cm
Step-by-step explanation:
Answer:
48cm
Step-by-step explanation:
Because 6 times 8= 48cm
i need help asap
i need to know how to show work
Answer:
A= πr²
A=3.14*5*5
A=78.5cm²
The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.
Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
To know more about equation:
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Complete question is:
Solve the equation: (1/3)^2 + 3^2 =
will give brainliest !!PLSS HELP fast !! and explain
Answer:
C
Step-by-step explanation:
Difference means subtraction. That makes B incorrect.
D is wrong because we have no way of knowing if g and h are squares.
A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.
That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.
Answer:
C
Step-by-step explanation:
I need help but they are getting confused with the z as a 2 please don’t get confused the z is a z
Step-by-step explanation:
everything can be found in the picture
Answer:
w = - (7/2) z
Step-by-step explanation:
5w + 9z = 2z + 3w
Subtract 3w from both sides
2w + 9z = 2z
Subtract 9z from both sides
2w = -7z
Divide both sides by 2
w = - (7/2) z
Shantelle wants to rent a midsize car for one day.Value rent a car charges $20 a day plus 0.20 per mile,and best rent a car charges $30 a day plus $0.10 per mile for rental of the same mid-size car
Part A)write an equation in slope intercept form,y=mx+b for each car
Part b: determine the mileage where the rental charges are the same.
(Need help asap)
Answer:
See answers to parts a and b below.
Step-by-step explanation:
A. Value: y=20+.20x
Best Rent y=30+.10x
B. 20+.20x=30+.10x make equations equal each other by subbing y values.
.10x=10 simplify equation
x=100
check answers by subbing 100 for x in each equation.
y=20+.20(100)
y=20+20
y=40
y=30+.10(100)
y=30+10
y=40
Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.
Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.
What is the vertex of the parabola with the equation y
3x2 + 2x – 8?
Answer:
Step-by-step explanation:
If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:
[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:
[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.
[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get
[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:
[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is
[tex](-\frac{1}{3},-\frac{25}{3})[/tex]
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B