Answer:
the answer is -8
Step-by-step explanation:
The coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (2, ___). (1 point)
Answer:
(2,5)
Step-by-step explanation:
If you are flipping a point over the x-axis, multiply the y coordinate by -1, if you are flipping something over the y-axis, multiply the x coordinate by -1.
The coordinates of point B are (2,5)
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Given that coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B.
Since flipping a point over the x-axis, then we have to multiply the y coordinate by -1,
And ifyou are flipping something over the y-axis, then we have to multiply the x coordinate by -1.
Therefore, the point B are (2, _5_).
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An object is launched at 29.4 meters per
second (m/s) from a 34.3-meter tall
platform. The equation for the object's
height s at time x seconds after launch is
f(x) = -4.9x2 + 29.4x+ 34.3, where y is in
meters. What is the initial height of the
object?
29.4 meters
78.4 meters
34.3 meters
3 meters
Answer:
34.3 meters
Step-by-step explanation:
The generic equation for a movement with constant acceleration is:
S = So + Vo*t + (a*t^2)/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
If we compare with our equation (where x is the time and f(x) is the final distance), we have that:
So = 34.3
Vo = 29.4
a = -9.8
So we have that the inicial position (So) of the object is 34.3 meters
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 9.
Answer:
1/12
Step-by-step explanation:
Since all are equally likely, each outcome has a probability of 1/12.
P(9) = 1/12
Answer:
1/12
Step-by-step explanation:
The probability of rolling a nine is given by the number of good outcomes over the total outcomes
P(9) = number of 9's / total
=1/12
In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02
What is the interval estimate for the proportion that would fail in the form
(lower limit, upper limit)?
Answer:
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Step-by-step explanation:
Total number of cars = 150
Cars that failed the safety inspection = 18
The proportion is given by
p = 18/150
p = 0.12
p = 12%
The confidence interval is given by
p ± margin of error
Where margin of error is 0.02
0.12 ± 0.02
Lower limit = 0.12 - 0.02
Lower limit = 0.10
Lower limit = 10%
Upper limit = 0.12 + 0.02
Upper limit = 0.14
Upper limit = 14%
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Answer:
(0.10, 0.14)
Step-by-step explanation:
1,THE POPULATION OF THREE TOWNS ARE 65,600, 13,400 AND 29,700 APPROXIMATE THE TOTAL POPULATION OF THE THREE TOWNS TO THE NEAREST THOUSANDS
2,REHEMA SPENT 1/8 OF HER SALARY ON TRANSPORT AND 1/4 ON FOOD IF SHE REMAINED WITH SH 80000 WHAT WAS HER SALARY....PLEASE ANSWER MY QUESTION FIRST I WILL MARK U BRAINLIEST
Answer:
1) 65600+13400+29700=108700
to the nearest thousand it will be 108000
2) 1/8+1/4=3/8
3/8-1=5/8
5/8× U=80000
U=80000÷5/8
U=128000
note that U is unknown
Evaluate the geometric series. Please help me!!
Answer:
- 85
Step-by-step explanation:
The n th term of a geometric series is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
1[tex](-2)^{n-1}[/tex] ← is the n th term of a geometric series
with a = 1 and r = - 2
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
= [tex]\frac{1((-2)^{8}-1 }{-2-1}[/tex]
= [tex]\frac{256-1}{-3}[/tex]
= [tex]\frac{255}{-3}[/tex]
= - 85
Which line segment is a diameter of circle F?
Answer:
AC
Step-by-step explanation:
We know that a diameter of a circle is any straight line segment that passes through the center of the circle such that whose endpoints lie on the circle. It is also be known as the longest chord of the circle.
In the given figure we can see that only AC and BE are the line segments that pass through the center of the circle such that whose endpoints lie on the circle.
Answer:
AC
Step-by-step explanation:
Given f(x)=-5x+1 find f(6)
Answer:
f(6)=-29
Step-by-step explanation:
f(6)=-5(6)+1
f(6)=-30+1
f(6)=-29
The value of f(6) is -29.
Given,
f(x)= -5x+1
We need to find f(6).
How do we solve a function at a point?A function is denoted by f(x) and the point can be a value of x.
The x values are called domain and f(x) is called the output.
Example:
f(x) = x + 2
At x = 1
f(1) = 1 + 2 = 3.
Find f(x) = -5x + 1 at x = 6.
f(x) = -5x + 1
f(6) = - 5 x 6 + 1
= -30 + 1
= -29
This means the function f(x) is -29 at x = 6.
Thus the value of f(6) is -29.
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What is the length of the diagonal of a 10 cm by 15 cm rectangle?
Answer:
18.02 cm
Step-by-step explanation:
A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.
Remember, because we know the length and width, we know the two sides.
10^2 + 15^2 = c^2
100+225 = c^2
325 = c^2
18.027 ≈ c
We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.
Pythagorean Theorem: a² + b² = c²
Now, solve for the diagonal.
(10)² + (15)² = c²
100 + 225 = c²
325 = c²
√325 = √c²
18.0277... = c
Round if necessary.
18.0277... = 18.03
Therefore, the diagonal of the rectangle is approximately 18.03cm.
Best of Luck!
The number of triangles created is always two fewer than the number of sides (n) in the polygon.
How can you write this as an expression?
The number of triangles is (n-2)
solve for x. 1/15+x=3/10
Answer:
x=7/30
Step-by-step explanation:
3/10-1/15
what is the surface area of the box if it is scaled up by a factor of 10? surface area is 164, height is 4 in, width is 3 in, length is 10 in.
Answer:
16400 in ^2
Step-by-step explanation:
For area, we multiply by the scale factor squared
area 2 = sf^2 * area 1
Since the scale factor is 10,
area 2 = 10^2* 164
= 100*164
= 16400
Answer:
16,400 in²
Step-by-step explanation:
Ratio of Areas = (Ratio of sides)²
A/164 = 10²
A/164 = 100
A = 16400
factor completely 36x2 – 1.
Answer:
(6x - 1)(6x + 1)
Step-by-step explanation:
36x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
36x² - 1
= (6x)² - 1²
= (6x - 1)(6x + 1)
solve where x is a real number
Answer:
4,-4
Step-by-step explanation:
-4 times -4 equals 16
4 times 4 equals 16
Answer:
x=4
Step-by-step explanation:
square root of 16 and x^2 is 4
Explain why P(AD) and P(DIA) from the table below are
not equal.
Answer:
P(A) ≠ P(D)
Step-by-step explanation:
P(A|D) = P(AD)/P(D)
P(D|A) = P(AD)/P(A)
The two denominators are not equal, so the quotients cannot be equal.
P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
From the table, we have the following parameters:
n(A) = 8
n(D) = 10
n(A and D) = 2
P(A|D) and P(D|A) are both conditional probabilities, and they are calculated using:
P(A|D)=2/10
=1/5 = 0.2
P(D/A)= 2/8
=1/4
From the above computations, we have:
P(A|D)≠P(D/A)
Hence, P(A|D) and P(D/A) are not equal because the total number of A and D are not equal.
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Which of the following is the correct representation for a translation 8 units right and 4 units down?
Answer:
A. (x + 8, y - 4)
Step-by-step explanation:
When something is translated to the right, x goes up, and when something is translated down, y goes down.
Alternatively, eft means down for x and up means up for y.
can someone please explain this trigonometry question? uses sin/cos/tan
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Right triangle
hypotenuse = 24
Opposite side = 15
Adjacent side = ?
Process
1.- Calculate the adjacent side using the Pythagorean theorem.
hypotenuse² = opposite side² + adjacent side²
-Solve for adjacent side
Adjacent side² = hypotenuse² - opposite side²
-Substitution
Adjacent side² = 24² - 15²
-Simplification
Adjacent side² = 576 - 225
Adjacent side = 351
-Result
Adjacent side = 18.73°
2.- Find the value of x°
a) Using sin x
sinx = Opposite side/Hypotenuse = 15/24 = 0.625
x = 38.68°
b) Using cos x
cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78
cos x = 38.68°
c) Using tan x
tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80
tan x = 38.68°
The product of $7d^2-3d+g$ and $3d^2+hd-8$ is $21d^4-44d^3-35d^2+14d-16$. What is $g+h$?
Step-by-step explanation:
To find the product with unknown values of variables, multiply the terms and equate the value to the given product.
[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex] = [tex]21d^{4} + 7hd^{3} - 56d^{2} - 9d^{3} - 3hd^{2} + 24d + 3gd^{2} + ghd - 8g[/tex]
[tex](7d^{2} - 3d + g)(3d^{2} + hd - 8)[/tex] = [tex]21d^{4} + (7h-9) d^{3} + (3g-56-3h)d^{2} + (24+gh)d -8g[/tex] ... (1)
Comparing eq(1) to the product given in question,
-8g = -1
g = 2
24 + gh = 14, sub g =2,
24 + 2h = 14
h = -5
Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex]V=35.3\ m^3[/tex]
Step-by-step explanation:
-Given the cone's height is 9.1m and the Circumference is 12.1
#We use the circumference formula to calculate the radius:
[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]
-The volume of the cone using the radius above can then be calculated as follows:
[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]
Hence, the cone's volume is [tex]35.3\ m^3[/tex]
Which expression is equivalent to 3(7x – 5)?
Answer:
21x-15
Step-by-step explanation:
Use the distributive property:
3×7x=21x
3×5=15
Don't forget the - sign!!!
So,
3(7x - 5) = 21x - 15
Final answer:
The expression 3(7x - 5) using the distributive property is equivalent to 21x - 15, which is obtained by multiplying 3 by each term inside the parenthesis.
Explanation:
The expression 3(7x
- 5) is equivalent to 21x - 15. This process is known as the distributive property, where you multiply the number outside the parenthesis by each term inside the parenthesis. Let's break it down step by step:
Multiply the first term inside the parenthesis by 3: 3 ×7x = 21x.
Multiply the second term inside the parenthesis by 3: 3 ×(-5) = -15.
Combine these results to get the equivalent expression: 21x - 15.
Finish the sentence....
FTC Flight team____________?
Answer:
Step-by-step explanation:
What it do Flight Crew FTC Flight Team Stand UPPPPPP
The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and read. Of the remaining playground, is used for playing soccer. The rest of the playground is used for playing basketball. Which equation represents the part of the playground used for soccer?
Answer:
2/3* 4/5 = 8/15
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.
Given:
One-fifth (1/5) of the playground is used for students to sit and read2/3 is used for playing soccer The rest of the playground is used for playing basketballSo assume that the the playground is divided into 5 equal part
=> 1 part is used for students to sit and read or (1/5)
=> the remaining equal part is 4 or (4/5)
Because 2/3 of the remaining part is used for playing soccer
=> the equation represents the part of the playground used for soccer is:
2/3 of 4/5
= 2/3* 4/5
= 8/15
To find the part of the playground used for soccer, remember one-fifth is for reading, leaving four-fifths. Then, calculate three-quarters of the remaining area for soccer.
To represent the part of the playground used for soccer, we need to consider that one-fifth of the playground is used for students to sit and read. Therefore, the remaining four-fifths of the playground is available for other activities. Since three-quarters of the remaining playground is used for playing soccer, the equation representing the part of the playground used for soccer is:
4/5 * 3/4 = 12/20 = 3/5
what is $5,158 round to the nearest percent
A. (7, -2), (4, -1), (3, 0), (4, 1), (7,2)
B. (-2, 1), (-1, 2), (0, 3), (1, 4) (2, 7)
C. (-2, 7), (-1, 4) (0, 3) (1, 4), (2, 7)
D. (1, -2), (2, -1), (3, 0), (4, 1), (7, 2)
Answer:
the answer is c
all work is pictured
11) Find the length of side x. picture is above!
I will give you 20 points and
brainliest
Answer:
25m :)
Step-by-step explanation:
Mrs. Hanson bought 1.6 pounds of grapes. The grapes cost $2.50 per pound. How much did
she pay for the grapes?
Answer:
$4.00
Step-by-step explanation:
Multiply the 1.6 pounds of grapes by the $2.50 per pound.
Answer:
4$
Step-by-step explanation:
Multiply 2.50$ with 1.6 pounds.
You get 4$
It won't cost more than 5$ because there are less than 2 pounds of grapes.
DELLO
How many solutions exist for the given equation?
3(x - 2) = 22 - x
zero
O one
two
infinitely many
The number of solutions for the given equation is one.
Here, we have,
To determine the number of solutions for the equation 3(x - 2) = 22 - x, we can solve it and analyze the result.
Let's simplify and solve the equation step by step:
3(x - 2) = 22 - x
3x - 6 = 22 - x
4x = 28
x = 7
After simplifying, we find that x = 7.
Now, we can analyze the number of solutions:
Since we have found a specific value for x that satisfies the equation, namely x = 7, there is exactly one solution.
Therefore, the number of solutions for the given equation is one.
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Use the distributive property to expand the following expression.
−3(2x+(−7)+5y)
Answer:
-6x +21 -15y
Step-by-step explanation:
−3(2x+(−7)+5y)
Distribute
-3*2x + -3*-7 + -3*5y
-6x +21 -15y
There are 2 green,5 yellow, 6 red,and 7 blue marbles in a bag. Erin picks one marble from the bag without looking. What is the probability she will pick a marble out of the bag that is blue?
a) 7% b) 20% c) 35% d) 54%
Answer:
c 35%
Step-by-step explanation:
2 green,5 yellow, 6 red,and 7 blue marbles
2+5+6+7 = 20 marbles
P(blue) = blue marbles / total marbles
= 7/20
= 35/100
=35%
Solve the equation for x.
x/3 = (2x + 3)/7
Answer:
Our answer is [tex]x=9[/tex]
Step-by-step explanation:
First we will rearrange so we have to divide by 7.
[tex]\frac{x}{3}= \frac{2x+3}{7}[/tex]
Now we will cross multiply.
So...
[tex]x*7 \\3*2x+3[/tex]
Our new equation will look like:
[tex]7x=6x+9[/tex]
Now we have to isolate x.
So we have to subtract 6x from both sides.
[tex]7x-6=1x[/tex]
and
[tex]6x-6x=0[/tex]
Our new equation is:
[tex]1x=9[/tex]
Now divide.
Our answer is [tex]x=9[/tex]
Hope this helped!