Answer:
0.000432
Step-by-step explanation:
Since we have a negative exponent 4 with a base of 10, we simply just move the decimal place 4 places to the left. When you do so, fill in your remaining zeros and you should get your answer.
Answer:
0.000432
Step-by-step explanation:
4.32ₓ10⁻⁴ =
= 4.32ₓ1/10000
= 4.32/10000
= 0.000432
five sixths of a number equals 4,375. What is the number
Answer:
The number is 5250
Step-by-step explanation:
5/6 * x = 4375
Multiply each side by 6/5 to isolate x
6/5 * 5/6 x = 4375 * 6/5
x =5250
Answer:
5250
Step-by-step explanation:
5/6x= 4375
x= 4375*6/5
x= 5250
Factorise
(a + c)2- 62
AWARDING BRANLIEST FOR FIRST CORRECT ANSWER
10a - 41=19 pls help!!!!!
Answer:
a = 6
Step-by-step explanation:
10a - 41 = 19
10a = 19 + 41
10a = 60
a = 60/10
a = 6
Answer:
a= 6
Step-by-step explanation:
10a - 41=19
+41 +41
10a = 60
÷10 ÷10
a= 6
* PLEASE ANSWER TY! *
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Circles.
thus the, Equation of circle with centres as (h, k) is given as,
(y-k)^2 + (x-h) ^2 = r^2
where, r is the radius if the circle.
so here, we can see that,
[tex] {r}^{2} = 100 \\ r = 10 \\ [/tex]
thus , we can say that, 2r = d
thus diameter = 20 units
Can someone help me solve this?
Answer:
(a) y = -3/5 x + 13/5
(b) y = 5/3 x + 1/3
Step-by-step explanation:
(a) The slope of the tangent line is dy/dx. Use implicit differentiation:
x² + y² + 4x + 6y − 21 = 0
2x + 2y dy/dx + 4 + 6 dy/x = 0
2x + 4 + (2y + 6) dy/dx = 0
x + 2 + (y + 3) dy/dx = 0
(y + 3) dy/dx = -(x + 2)
dy/dx = -(x + 2) / (y + 3)
At the point (1, 2), the slope is:
dy/dx = -(1 + 2) / (2 + 3)
dy/dx = -3/5
Using point-slope form of a line:
y − 2 = -3/5 (x − 1)
Simplifying to slope-intercept form:
y − 2 = -3/5 x + 3/5
y = -3/5 x + 13/5
(b) The normal line is perpendicular to the tangent line, so its slope is 5/3. It also passes through the point (1, 2), so point-slope form of the line is:
y − 2 = 5/3 (x − 1)
Simplifying to slope-intercept form:
y − 2 = 5/3 x − 5/3
y = 5/3 x + 1/3
Find the y-intercept for the parabola defined by
this equation:
y=7x2 + 5x – 2
Separate the values with a comma.
Answer:
(0, -2)
Step-by-step explanation:
The y-int is where the graph crosses the y-axis when x = 0. The easiest and fastest way to do this problem is to graph the equation using a graphing calc and tracing the graph to find your value.
Answer:
Step-by-step explanation:
for y intercept x=0
thus y= -2
the point is (0,-2)
26. Write the equation of the line passing through 2.-4) and parallel to the line y = 3x -2
(question 26 please)
Hey there! :)
Answer:
y = 3x -10
Step-by-step explanation:
An equation being parallel to the line y = 3x - 2 must contain the same slope, or 3.
Therefore:
Plug in the coordinate points into the formula y = mx + b along with the slope:
-4 = 3(2) + b
-4 = 6 + b
Subtract 6 from both sides:
b = -10.
Rewrite the equation in slope-intercept form:
y = 3x -10. This is the line that is parallel and passes through (2, -4).
Please answer fast ASAPPPP
Answer:
[tex]\frac{13}{3}[/tex] ÷ [tex](-\frac{5}{6})[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}/(-\frac{5}{6})=\\\\\frac{13}{3}/(-\frac{5}{6})[/tex]
Answer:
13/3 ÷ - 5/6
Step-by-step explanation:
4 1/3 ÷ - 5/6
Change the mixed number to an improper fraction
4 1/3 = (3*4 +1)/3 = 13/3
13/3 ÷ - 5/6
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5. Pls help ASAP btw, the answer isn't -12/19 or 12/19
Answer:
The found values are:
A = 1/3
B = -8/3
Step-by-step explanation:
We know that general equation is given by:
y = mx + c
where m is the slope and c is a constant.
x + 3y = -5
y = -(1/3)x - 1/3(5)
Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:
Ax + By = 3
By = -Ax - 3
By = (1/3)x - 3
Hence, A = 1/3
Substitute point (-7,2) into the equation:
B(2) = (1/3)(-7) -3
B(2) = -7/3 - 3
B(2) = -16/3
B = -16/6
B = -8/3
Why is the slope of line segment AC the same as the slope of line segment DF in the figure below?
A.because AB/EF=BC/DE? ...................................
B.because AB/DE=BC/DF ?...............................
C.because AB=EF ?...............................
D.because BC=DE?............................
Answer:
The answer would be A. because AB/EF=BC/DE
Step-by-step explanation:
AB = 2
EF = 5
BC = 1
DE = 2.5
2/5 = 0.4
1/2.5 = 0.4
The equation AB/EF=BC/DE is correct. All of the others are not.
The slope of line segment AC the same as the slope of line segment DF in the figure below because AB/EF = BC/DE.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We need to find the proportionality statement for the ratio of the sides of the triangles.
If two triangles are similar, then the corresponding sides are proportional.
ABC ≈ DEF,
Here AB, BC, and AC are corresponding sides of DE, EF, and DF respectively.
Using the definition of similarity we ge
AB = 2
EF = 5
BC = 1
DE = 2.5
2/5 = 0.4
1/2.5 = 0.4
The equation AB/EF = BC/DE is correct. All of the others are not.
Learn more about a triangle;
https://brainly.com/question/7116550
#SPJ2
Find the area of the shaded polygons: all of them not one
Answer:
6 sq units, 4 sq units, 6 sq units
Step-by-step explanation:
Method:
count dots inside ...(a)
the ones on the border of the polygon and divide by two ...(b)
(a)+(b)-1 = area
use this method for the red, green, and yellow polygons.
Red:
(a): 2
(b): 10/2 = 5
2+5-1 = 6 sq units
Green:
(a): 0
(b): 10/2 = 5
0+5-1 = 4 sq units
Yellow:
(a): 3
(b): 8/2 = 4
3+4-1 = 6 sq units
I hope this helps, and plz mark me brainliest!!!!
What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equation?
y = -x-1
OA
y =
OB
y =
- + 9
o + 16
1 - 12
Oc.
y =
OD.
y =
+ 19
Answer:
y = x + 16
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the 1st line
m = 1
Step 2: Find b
y = x + b
14 = -2 + b
b = 16
Step 3: Write equation
y = x + 16
Answer:
y = x + 16
Step-by-step explanation:
Given the equation y = -x - 1, we see that the slope (the coefficient of the x term) is -1. A line perpendicular to this one has a slope which is the negative reciprocal of the given equation: +1.
Using the point-slope formula for the equation of a straight line, we get:
y - 14 = +1(x + 2), or y - 14 = x + 2, or y = x + 16
I need help on these questions pls answer asap 1.) A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel? 2.)The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer:
1. The train is will cross the tunnel in 2 minutes.
The train is traveling at 30 km every hour or 60 minutes, so it will move 1 km every 60/30 minutes, or every 2 minutes.
2. Explanation here first: 22 free throws means 22 points and 22 field goals.
184-22=162 points they still needed to get, and
85-22=63 goals they still needed to score
We can now use a system of equations, (where x is 3-point goals, and y is 2-point goals) to solve the problem:
3x+2y=162
x+y=63 (-2)
-------------------------------------------------------------
3x+2y=162
-2x-2y= -126
-------------------------------------------------------------
x=36, and y=27 so the NBA players got 36 3-point goals, and 27 2-point goals
We can check this:
(36*3) + (27*2) + 22 = 108+54+22 = 184 total points
Step-by-step explanation:
Hope this helps!
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples
from 29 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined
sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
The probability that the combined sample will test positive is
(Round to three decimal places as needed.)
Answer:
The probability that the combined sample tests positive for the virus is 0.083
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability that the combined sample will test positive is 0.083
Step-by-step explanation:
Given that:
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
Therefore; the probability that the combined sample tests positive for the virus is 0.083
Is it unlikely for such a combined sample to test positive?
P(combined sample test positive for the virus ) = 0.0834
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
The probability that the combined sample will test positive is 0.083
Help me find area guys please!!!!
Answer:
you would multiply length times width witch would be 12in by 30in 360
HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The ladder is exactly 10 feet long and makes an angle of 60° with the ground. Let’s find the height the ladder reaches along the building. Label this height as x in your diagram. e. Use your calculator to find the value of sin 60°. In your equation, replace sin 60° with this number, and solve your equation to find the height up the wall. f. Now let’s figure out how far the base of the ladder is from the building. Label this distance as z in your diagram. i. Which trig ratio (sin 60°, cos 60°, or tan 60°) would be most helpful for finding z? _________ Explain. ii. Write and solve a trig equation to help you find z (Use #1d as a guide.)
Answer & Step-by-step explanation:
Answer:
answer is above in the attachment.Step-by-step explanation:
I hope this helps u toohave a nice day ✌What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5
Answer:
x = 5, -6
Step-by-step explanation:
Step 1: Write out equation
x² + 2x - 25 = x + 5
Step 2: Move everything to one side
x² + x - 30 = 0
Step 3: Factor
(x - 5)(x + 6) = 0
Step 4: Find roots
x - 5 = 0
x = 5
x + 6 = 0
x = -6
Find the x-intercepts of the graph y = StartFraction 2 Over x squared EndFraction?
a.
(2, 0) and (-2,0)
c.
There are no x-intercepts
b.
(-1,0) and (1, 0)
d.
x-intercept is (3, 0)
Answer:
The answer is option c.
There are no x-intercepts
Hope this helps
Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? Yes or No?
Answer:
12 rational
Step-by-step explanation:
2√3×√12 =
= 2√3×√2²·3
= 2√3×2√3
= 2×2×√3×√3
= 4×3
= 12
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Answer:
The height of the tree is about 30 feet.
Step-by-step explanation:
tan(55) = h/21
*21 *21
21*tan(55)=h
29.99=h
h=29.99=30 feet
The height of the tree will be 30 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Given; A tree casts a shadow 21 m long.
The angle of elevation of the sun is 55°.
Let h be the height of tree.
Then the height of the tree will be;
tan(55) = h/21
21*tan(55)=h
29.99=h
h = 29.99 = 30 feet
Therefore, The height of the tree will be 30 feet.
More about the right-angle triangle link is given below;
brainly.com/question/3770177
#SPJ2
the skateboard Rita would like to buy cost $6 less than three times the amount she has saved the skateboard cost $69 how much does Rita have to save?
Choose the steps that show how to solve this problem using arithmetic.
Answer: Rita has $25 saved.
Step-by-step explanation:
You could think about it this way: $69 is $6 less than 3 times the amount of money that she has. So, let's solve this:
1) First you would add $6 to the $69 that the skateboard costs because you need to know what her savings would be if she multiplied it by 3.
$69+$6=$75
2) Now that we know that if we tripled her savings, we would have $75. We can now find out how much she actually has saved up by dividing the total of $75 by 3.
$75÷3=$25
I hope this helped you with your question!
Answer:
she saved $25
Step-by-step explanation:
Imagine you have a very long belt. Well, extremely long, really … in fact, it’s just long enough that it can wrap snugly around the circumference of our entire planet. (For the sake of simplicity, let’s suppose Earth is perfectly round, with no mountains, oceans, or other barriers in the way of the belt.) Naturally, you’re very proud of your belt. But then your brother, Peter, shows up—and to your disgruntlement, he produces a belt that’s just a bit longer than yours. He brags his belt is longer by exactly his height: 6 feet. If Peter were also to wrap his belt around the circumference of Earth, how far above the surface could he suspend the belt if he pulled it tautly and uniformly?
Answer:
H = 0.95 feet
Step-by-step explanation:
The circumference of Earth = 2πR
My belt = 2πR (Where R is the radius of the Earth)
Peter's belt = 2πR+6
We have to find the Height "h" so the radius of the circle for Peter's belt becomes R+h So the expression becomes 2π(R+h)
But we already know,
Peter's belt = 2πR+6
So,
2πR+6 = 2π(R+H)
2πR + 6 = 2πR + 2πH
Subtracting 2πR to both sides
=> 6 = 2πH
OR
=> H = 6/2π
=> H = 3/π
Where π = 3.14
=> H = 0.95 feet
Answer: 0.00016 miles
Step-by-step explanation:
According to Google, the circumference of the Earth is 24,901.461 miles. Using the formula 2*pi*r = circumference, the radius of your belt is around 3963.19061 miles. Now, 6 feet is 0.001 miles. So his belt is 24,901.461+0.001 = 24,901.462 miles. Use 2*pi*r to get 3963.19077 miles, a full 0.00016 miles above the surface!
erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5
Answer:
B. an=100 + (n-1)5
Step-by-step explanation:
Using the explicit formula
an = a1+ d(n-1)
we know a1 is 100, which is the staring amount
We know d is the amount added each time or the common difference which is 5
an = 100 + 5(n-1)
If we want to find a specific day, we can substitute in for n
PLEASE HELP!!!! I'M STUCK The graph shows two lines, A and B. A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6. Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points) Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer:
A: There is only one solution since the two lines meet up. If it was parallel or the two lines where on top of each other there would be either an infinite amount of solutions or zero.
B:(3,5)
Step-by-step explanation:
Select the cube number out of the following numbers: 10,100,1000,10000 A=10 B=100 C=1000 D=10000
Answer:
C. 1000
Step-by-step explanation:
10 is not a perfect cube.
100 is not a perfect cube, it is a perfect square.
1000 is a perfect cube.
10 × 10 × 10 = 1000
10000 is not a perfect cube.
Answer:
it says 10
Step-by-step explanation:
A decade is 10 years.
apparently
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate exterior angles with angle 11? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14
Answer:
5 to13
Step-by-step explanation:
hope it help
Answer:5
5 and 13
Step-by-step explanation:
In the diagram, which pair of angles are corresponding angles?
Answer:
You shoulda showed us the diagram but corresponding angles are the 2 angles on the diagram which are the same, look closely and you could tell which 2 are the same, they also have to be on THE SAME SIDE, right or left
Hope that helps!
Step-by-step explanation:
Answer:
C, Angle 3 and Angle 7
Step-by-step explanation:
heres the full question
In the diagram, which pair of angles are corresponding angles?
Angle 1 and Angle 8
Angle 4 and Angle 6
Angle 3 and Angle 7
Angle 2 and Angle 4
Which function represents g(x), a reflection of f(x) =
(10)^x across the x-axis?
g(x) = -2/5(10)^x
g(x) = -2/5(1/10)^x
g(x) =2/5(1/10)^-x
g(x) = 2/5(10)^-x
Answer:
Option A.
Step-by-step explanation:
Note: The given function should be [tex]f(x)=\dfrac{2}{5}(10)^x[/tex] instead of [tex]f(x)=(10)^x[/tex].
Consider the given function is
[tex]f(x)=\dfrac{2}{5}(10)^x[/tex]
We need to find the function which represents a reflection of f(x) across the x-axis.
If a function f(x) is reflected across the x-axis, then the new function is
[tex]g(x)=-f(x)[/tex]
Using this rule, we get
[tex]g(x)=-\dfrac{2}{5}(10)^x[/tex] [tex][\because f(x)=\dfrac{2}{5}(10)^x][/tex]
Therefore, the correct option is A.
help plz im so dumb math
Answer:
the first one
Step-by-step explanation:
its right because you have to try and solve it out to get the answer so u subtract 4 the divide by 10 to get r= 8
Answer: 10r+4=84
Step-by-step explanation:
Since the problem states 10 reams of paper at an unknown price per ream of paper, we can write it as 10r. r is the price per ream of paper. the tax would be written as +4 because that is the tax stated. The 84 would be the total price. Therefore, the equation would be 10r+4=84.
classify the real number -11
Answer:
-11 is
=> Integer
=> Rational Number
Answer:
Integer
Step-by-step explanation:
-11 is a negative number. It is an integer.
Integers are all the whole numbers and their opposites.