Answer:
160cm^3
Step-by-step explanation:
V=Lwh
so, (5x8x4)
v=160cm^3
Hope my answer has helped you!
What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?
Hello!
Answer: (-6,8)
A coordinate graph might help.
Hope I helped in time!
Good luck!
~ Destiny ^_^
Answer:
the answer is b (-6,8)
Step-by-step explanation:
x y
-2 -1
-1 0
0 1
1 2
2 3
Without graphing, what is the x-intercept of this function?
Answer:
(- 1, 0)
Step-by-step explanation:
The x- intercept is where the function crosses the x- axis.
The y- coordinate of any point on the x- axis is zero, hence
The point (- 1, 0 ) is the x- intercept
Answer:(-1,0)
Step-by-step explanation:
Megan drove from her house to work at an average speed of 45 miles per hour. The drive took her
20 minutes. If the drive home took her 30 minutes and she used the same route in reverse, what was her average speed going home?
Answer:
30
Step-by-step explanation:
Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.
45 miles: 60 minutes
15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)
Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.
Use the formula for speed:
speed= distance/time
= 15/0.5 ---------- 0.5 hours is the same as 30 minutes
= 30
Answer:
First option: 30 miles per hour
Step-by-step explanation:
For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit
So,
20 minutes = 1/3 hours = 0.33 hours
Now using the speed, distance and time formula
Speed = distance/time
[tex]Speed = \frac{distance}{time}[/tex]
[tex]45 = \frac{distance}{\frac{1}{3} }[/tex]
[tex]45 = 3 * distance[/tex][tex]\frac{45}{3} = Distance[/tex]
So the distance is 15 miles.
For returning through the same route
Time = 30 minutes = 0.5 hour
Distance = 15 miles
So,
[tex]speed = \frac{distance}{time}[/tex]
[tex]Speed = \frac{15}{0.5}[/tex]
Speed = 30 miles per hour
So first option is correct..
What is the following quotient? Sqr root 6+ sqr root 11/sqr root 5 + sqr root of 3
Answer:4.31
Step-by-step explanation:
Which expression is equivalent to (-4y-x)-(3y-9x)
A.-7y-8x
B.-7y+8x
C.-y-10x
D.y+10x
Answer:
B. -7y + 8x.
Step-by-step explanation:
(-4y - x) - (3y - 9x)
Distributing the negative over the second parentheses we get:
-4y - x - 3y + 9x
= -7y + 8x.
what is the value of x
The value of x is 114 degrees.
X is a vertical angle with the given angle of 114.
This means X is also 114 degrees.
A Young sumo wrestlers decided to go on a special diet to gain weight rapidly w (t)=80+5.4t how much weight does the wrestler gain every 2 months
The rate is 5.4 per month so in two months gains 10.8
Answer:
10.8 kg
Step-by-step explanation:
We are given that weight of young Sumo wrestler is given by
[tex]w(t)=80+5.4t[/tex]
We have to find the weight of wrestler gain in every months.
In order to find the weight gain in 2 month we will find out w(2)
Then, we get
[tex]w(2)=80+5.4(2)[/tex]
[tex]w(2)=80+10.8[/tex]
[tex]w(2)=90.8[/tex]
Weight gain in 2 month=90.8-80=10.8 kg
Hence,the wrestler gain 10.8 kg in every 2 months.
How many sides does a quadrilateral have
A quadrilateral has four sides
Answer:
A quadrilateral has four sides.
Example:
The following figures are quadrilaterals and have 4 sides.
The graph of Fx), shown below, has the same shape as the graph of G(x) x2, but it is shifted up 4 units and to the right 3 units. What is its equation?
Using translation concepts, it is found that the equation of function F(x) is given by:
D. F(x) = (x - 3)² + 4.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is given by:
G(x) = x².
Then, these following translations happen:
Shift up 4 units, hence F(x) = x + 4.Shift right 3 units, hence x -> x - 3.Thus, the equation of function F(x) is given by:
D. F(x) = (x - 3)² + 4.
More can be learned about translation concepts at https://brainly.com/question/4521517
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Which polynomial is in standard form.
Answer:
4- [tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]
Step-by-step explanation:
In a standard polynomial degree drops from left to right
so , option 4 is correct.
[tex]7x^{7} y^{2} + 5x^{11} y^{5} - 3xy^{2} + 2[/tex]
Please find the value of the expression below.
Answer:
35
Step-by-step explanation:
Note that the absolute value always produces a positive result
Given
| a² - 2ac + 5c | ← substitute in given values
= | (- 3)² - 2(- 3 × - 4) + (5 × - 4) |
= | 9 - 24 - 20 | = | - 35 | = 35
They give you the equation:
[tex]|a^{2} - 2ac + 5c|[/tex]
We know that:
a = -3
b = 2
c = -4
You can replace the variables with their corresponding values like this:
[tex]|(-3)^{2} -2(-3)(-4) + 5(-4)|[/tex]
You can then go on and do PEMDAS to solve this:
First the exponents:
[tex]-3^{2} = 9[/tex]
[tex]|9 -2(-3)(-4) + 5(-4)|[/tex]
Then you can multiply all that needs to be multiplied together from left to right:
[tex](-2)(-3)(-4) = (6)(-4) = -24[/tex]
[tex]|9 - 24 + 5(-4)|[/tex]
[tex](5)(-4) = -20[/tex]
[tex]|9 - 24 + (-20)|[/tex]
[tex]|9 - 24 -20|[/tex]
Now from left to right subtract:
9 - 24 = -15
[tex]|-15 -20|[/tex]
-15 - 20 = -35
[tex]|-35|[/tex]
^^^The | | mean to take the absolute value of the number. In other words make it positive
So the answer to this is 35
Hope this helped!
Find the median of the following set of data:
48, 65, 57, 54, 61, 57, 52, 61, 57
a.) 54
b.)57
c.)61
d.)65
Answer:
b
Step-by-step explanation:
The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
Arrange the data in ascending order
48, 52, 54, 57, 57, 57, 61, 61, 65
↑
The median of the data set is 57 → b
99% confidence interval for the mean
Answer:
16.3 ± 0.8391
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 16.3.
The standard error for a sample mean is:
SE = σ / √n
SE = 1.5 / √25
SE = 0.3
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level, the critical probability, and the degrees of freedom.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
df = n - 1 = 25 - 1 = 24
Since df < 30, we use a t-score. Looking up in a t-table, we find the critical value is CV = 2.797.
Therefore:
CI = 16.3 ± (0.3 * 2.797)
CI = 16.3 ± 0.8391
Urgent! Please answer using the screenshot below!!
Answer:
h = 12 units
Step-by-step explanation:
Area of a Parallelogram = base × perpendicular height (A = b × h)
In the diagram above we can obtain the following:
Area = 72 units² perpendicular height = h base = 6(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)
Since A = b × h
⇒ A ÷ b = b ÷ b × h (dividing both sides by b)
⇒ h = A ÷ b (making h the subject of the eq'n)
thus h = 72 unit² ÷ 6 units
= 12 units
Quick geometry question please help ASAP!!!
For #3
Answer:
The volume of the composite figure is equal to [tex]400\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the composite figure is equal to the area of the rectangular prism plus the volume of the rectangular pyramid
step 1
Find the volume of the rectangular prism
The volume is equal to
[tex]V=LWH[/tex]
we have
[tex]L=12\ in[/tex]
[tex]W=4\ in[/tex]
[tex]H=5\ in[/tex] ----> height of the rectangular prism
substitute
[tex]V=12*4*5=240\ in^{3}[/tex]
step 2
Find the volume of the rectangular pyramid
The volume is equal to
[tex]V=\frac{1}{3}LWh[/tex]
we have
[tex]L=12\ in[/tex]
[tex]W=4\ in[/tex]
[tex]h=10\ in[/tex] ----> height of the rectangular pyramid
substitute
[tex]V=\frac{1}{3}(12)(4)(10)=160\ in^{3}[/tex]
step 3
Adds the volumes
[tex]240\ in^{3}+160\ in^{3}=400\ in^{3}[/tex]
the probability of event a is 0.56 and the probability of event b is 0.34
Answer:
Since A and B are independent:
P(A and B) = P(A) * P(B)
P(A and B) = 0.34 * 0.56 = 0.1904
* Hopefully this helps:)!!
Mark me the brainliest:)!!
~234483279c20~
HELP ASAP MARKING BRAINLEST
use the diagram to write the standard equation of the circle.
Answer:
your answer is:
(x-2)^2 +(y-2)^2=16
Hope this helps.
Brainliest plz :)
The standard equation of the given circle is (x-2)²+(y-2)²=16. This can be obtained by using the general equation of the circle.
What is the general equation of the circle?The general equation of the circle is,
(x-h)²+(y-k)²=r² , where (h,k) is the center and r is the radius
From the figure we say that (2,2) is the circle and 4 is the radiusBy using the general equation of the circle we can write the standard equation,(x-2)²+(y-2)²=4² ⇒ (x-2)²+(y-2)²=16
Hence the standard equation of the given circle is (x-2)²+(y-2)²=16.
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Which number is the same as (4-^1)(2^3÷4-^2)
A. -2
B. 1/8
C. 2
D. 32
E. 512
The answer is letter C. 2
Answer:
The answer to this problem is down below
Step-by-step explanation:
C
Which are solutions of x2=-11+4?
For this case we have a quadratic equation of the form:
[tex]ax ^ 2 + bx + c = 0\\x ^ 2 + 11x-4 = 0[/tex]
Where:
[tex]a = 1\\b = 11\\c = -4[/tex]
We find the roots:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-11 \pm \sqrt {11 ^ 2-4 (1) (- 4)}} {2 (1)}\\x = \frac {-11 \pm \sqrt {121 + 16}} {2}\\x = \frac {-11 \pm \sqrt {137}} {2}[/tex]
The roots are:
[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]
Answer:
[tex]x_ {1} = \frac {-11+ \sqrt {137}} {2}\\x_ {2} = \frac {-11- \sqrt {137}} {2}[/tex]
ANSWER
[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]
EXPLANATION
The given expression is
[tex] {x}^{2} = - 11 + 4[/tex]
Simplify the left hand side to get:
[tex] {x}^{2} = - 7[/tex]
Take square root
[tex]x = \pm \sqrt{ - 7} [/tex]
[tex]x = \pm \sqrt{ 7} \times \sqrt{ - 1} [/tex]
Note that:
[tex] {i}^{2} = - 1 \implies \sqrt{ - 1} = i[/tex]
[tex]x = \pm \sqrt{ 7}i[/tex]
Split the plus or minus sign
[tex]x = - \sqrt{ 7}i \: \: or \: \: x = + \sqrt{ 7}i[/tex]
If you deposit $540 in an account that pays 6% interest compounded annually how much would be in the account after three years
Answer:
A=$643.15
Step-by-step explanation:
We can use the formula
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Now we can plug the information in the problem into the formula
[tex]A=540(1+\frac{0.06}{1} )^{(1)(3)}\\\\A=643.15[/tex]
Answer:
The amount after 3 year = $ 643.15
Step-by-step explanation:
Compound interest formula:
A = P[1 +R/n]^nt
Where A - amount
P - principle amount
R = rate of interest
t - number of times compounded yearly
n number of years
To find the amount after 3 years
Here P = $540, R = 6%, t = 1 and n = 3 years
A = P[1 +R/n]^nt
= 650[1 + 0.06/1]^(3*1)
= 540[1.06]^3
= $ 643.15
Label all of the parts of the circle
Answer:
The dot is the center
the long line is the diameter
the circle is the circumference
the half way line is the radius
The parts of a circle include the center, radius, diameter, chord, arc, sector, segment, and circumference.
Explanation:The circle is divided into several parts: center, radius, diameter, chord, arc, sector, segment, and circumference.The center is the point in the middle of the circle, denoted by the letter C.A radius is the distance from the center of the circle to any point on its circumference. It is denoted by the letter r.The diameter is a chord that passes through the center of the circle and is twice the length of the radius. It is denoted by the letter d.A chord is a line segment that connects two points on the circumference of the circle. It does not necessarily pass through the center.An arc is a part of the circumference of the circle.A sector is the region between an arc and two radii.A segment is the region between an arc and a chord.The circumference is the distance around the circle. It can be calculated using the formula C = 2πr, where π is approximately 3.14.
how do you simplify this expression.
4 + √16-(4)(5) / 2
Simplify the numerator:
4 + √16 -20 = 4 +√-4
Now you have 4 + √-4 / 2
Rewrite the -4 as -1 *4
4 + √ -1*4 / 2
Rewrite √-1*4 as √-1 * √4
√-1 = i
Now you have 4 + i * √4 / 2
√4 = 2
Now you have 4 + i * 2 /2
Divide the numerator by the denominator to get the final answer: 2 + i
URGENT, literally will give 40 points and dub thee brainliest
Given the coordinates of the triangle, determine the coordinates of its image after a dilation with the given scale factor centered at the origin.
A(-1, 3), B(1, 1), C(-4, 1); scale factor: 2
A.
A' (negative 1 half,3 over 2)
B' (1 half,1 half)
C' (0, negative 3 over 2)
B.
A' (1,5)
B' (3,3)
C' (2, -1)
C.
A' (-2, 6)
B' (2,2)
C' (0, -6)
D.
A' (-3, 1)
B' (-1, -1)
C' (-2, -5)
Answer:
D
Step-by-step explanation:
use a graphing calculator to find an equation of the line of best fit for the data. Identify and Interpret the correlation coefficient.) I don't have a caculator btw
Answer:
Go to desmos.com/calculator
Step-by-step explanation:
It has a graphing calculator and it super easy to plug in.
The equation of the line of the best fit for the data will be,y=2.07x-7.5.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The equation of the line is;
y=mx+c
y=2.07x-7.5
Hence, the equation of the line of the best fit will be,y=2.07x-7.5
Learn more about the line of best fit here:
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Help answer and explain #7 #8 #9 YOU HAVE TO DO THE STEPS OF HOW u got it.
Answer:
For Answer 7 its the first one (x + 6) • (x - 7)
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-x-42
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is -1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 6
x2 - 7x + 6x - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
6 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-7)
Which is the desired factorization
Final result :
(x + 6) • (x - 7)
Estimate the area of the circle using 22/7
Answer: [tex]A_{circle}=616cm^2[/tex]
Step-by-step explanation:
You can observe in the figure that the value of the diameter of the circle is
[tex]d=28cm[/tex]
Then, since you know the diameter , you can use this formula for calculate the area of the circle:
[tex]A_{circle}=\frac{\pi d^2}{4}[/tex]
Where "d" is the diameter.
Then, substituting [tex]d=28cm[/tex] and [tex]\pi =\frac{22}{7}[/tex] into the formula, you can estimate the area of the circle. This is:
[tex]A_{circle}=\frac{(\frac{22}{7})(28cm)^2}{4}[/tex]
[tex]A_{circle}=616cm^2[/tex]
Two people share £350 in the ratio 1 : 6.
Calculate each share.
Answer:
£50 and £300
Step-by-step explanation:
Sum the parts of the ratio 1 + 6 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of ratio
Hence
1 person receives £50
the other person receives 6 × £50 = £300
To find the two shares in the given ratio, divide the total amount by the sum of the ratio. The first share is 1/7 of the total, while the second share is 6/7 of the total.
Explanation:To find the two shares, we need to divide £350 into two parts using the ratio 1:6. To do this, we must first understand that the ratio sum is 1+6=7. The first share is 1/7 of the total amount, calculated as (1/7)*£350 = £50. The second share is 6/7 of the total amount, calculated as (6/7)*£350 = £300.
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what is the volume of a cylinder with the base radius of 10 units and a height of nine units?
Answer:
[tex]V = 2827.43\ units^3[/tex] or [tex]V = 900\pi\ units^3[/tex]
Step-by-step explanation:
The volume of a cylinder is calculated by the following formula
[tex]V = \pi r^2 *h[/tex]
Where r is the radius of the cylinder and h is the height
In this case we know that the radius r of the base is:
[tex]r=10\ units[/tex]
and
[tex]h=9\ units[/tex]
So the Volume is:
[tex]V = \pi (10)^2 *9[/tex]
[tex]V = 900\pi\ units^3[/tex]
[tex]V = 2827.43\ units^3[/tex]
Answer:
The volume is [tex]2827.4units^3[/tex] to the nearest tenth
Step-by-step explanation:
The volume of cylinder is : [tex]V=\pi r^2h[/tex]
The base radius of the cylinder is r=10 units.
The height of the cylinder is h=9 units.
Substitute the values into the formula to get;
[tex]V=\pi \times 10^2\times 9[/tex]
[tex]V=900\pi units^3[/tex]
[tex]V=2827.4units^3[/tex] to the nearest tenth
30 points + brainliest for correct answer! If a triangle has sides X, 4.0, and 8.0, what is the range of possible sizes for side x?
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 12
III. 24
Answer:
4.0 is less than x is less than 12.0
Step-by-step explanation:
Please Help Me =)
----------------------------
Steps:
6(1)+1= 7
6(2)+1= 13
6(3)+1=19
6(4)+1= 25
7,13,19,25
Answer is third choice
ANSWER
7,13,19,25
EXPLANATION
The given rule is:
6n+1
When n=1,
We obtain 6(1)+1=6+1=7...This is the first term.
When n=2,
6(2)+1=13
When n=3, we obtain,
6(3)+1=19
When n=4:
We have :
6(4)+1=25
The third choice is correct.