Answer:
x=-1
Step-by-step explanation:
2-8x=10 subtract both sides by 2
-8x=8 divide both sides by -8
x=-1
Answer:
x = -1
Step-by-step explanation: 2 - 8x = 10
-2. -2
-8x. 8
Divide -8. -8
x = -1
Find the value of the expression below. Express your answer in scientific notation.
The value of the expression is [tex]8.8 \times 10^{-2}[/tex].
Solution:
Given expression:
[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]
To find the value of the given expression:
Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]
Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]
Since [tex]\frac{4.8}{1.2}=4[/tex]
[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]
[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]
Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].
how do you solve
-4/7 + 2/7x - 14x + 4/7
Answer:
-96/7x
Step-by-step explanation:
-4/7+2/7x-14x+4/7
-4/7+4/7+2/7x-14x
2/7x-14x
2/7x-98/7x
-96/7x
Answer:
-96/7
Step-by-step explanation:
Please Help Me!
A sphere's center is located at (0,0,0). The point (4,9,-5) is located on the surface of the sphere. Find the length of the radius of the sphere. Round to the nearest tenth.
Answer:
The length of the radius of the sphere is 11.0 units
Step-by-step explanation:
we know that
To calculate the radius of the sphere, we can use the distance formula
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}+(z_2-z_1)^{2}}[/tex]
where
d is the length of the radius
(x_1,y_1,z_1) is the center of the sphere
and
(x_2,y_2,z_2) is one point on the surface of the sphere
we have
[tex](x_1,y_1,z_1)=(0,0,0)[/tex]
[tex](x_2,y_2,z_2)=(4,9,-5)[/tex]
substitute in the formula
[tex]d=\sqrt{(4-0)^{2}+(9-0)^{2}+(-5-0)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2}+(9)^{2}+(-5)^{2}}[/tex]
[tex]d=\sqrt{122}[/tex]
[tex]d=11.0\ units[/tex]
therefore
The length of the radius of the sphere is 11.0 units
find the volume of a pyramid 8 base length 5 base width 12 height
Answer:
The volume is 160 cubic units
Step-by-step explanation:
1. Information given to us to answer the question correctly:
8 = base length
5 = base width
12 = height
2. Let's recall the formula of the volume of a pyramid with rectangular base:
Volume = (Length * Width * Height)/3
Volume = (8 * 5 * 12)/3
Volume = 480/3 ?
Volume = 160 cubic units
solve for x and y
−8y+9x=−5
8y+7x=−75
Answer:
-8y + 9x = -5
8y + 7x = -75
16x = -80
x = -5
8y + 7(-5)= -75
8y - 35 = -75
8y = -40
y = -5
(-5,-5)
what is the equation of the following line written in slope intercept form?
a. y= -11x-7
b. y= -7x+11
c. y= -7x-11
Answer:
C
Step-by-step explanation:
slope is change in y over the change in x
points on graph are (-1, -4) and (-2, 3)
-4-3/-1+2 = -7/1 = -7
y = -7x + b
put one of the points in for x and y to solve for b
3 = -7 x -2 + b
3 = 14 + b
subtract 14 from both sides.
b = -11
Answer:
c
Step-by-step explanation:
Consider the dilation of square KLMN by a scale factor of 1/4, with a center of dilation at the origin. Assume the units are centimeters.
1. What is the perimeter of the square after the dilation? Explain the change in the perimeter.
2. What is the area of the square after the dilation? Explain the change in the area.
1. The given squares perimeter after dilation is 16 cm. Perimeter is reduced by 48 cm due to dilation.
2. The squares area is 16 square centimeters after dilation. The area reduces by 240 square cm due to dilation
Step-by-step explanation:
Step 1; First, we determine the coordinates of the points given in the graph. By plotting we determine that the points are; K (-8, -8), L(8,-8), M(8, 8) and N(-8, 8).
Step 2; We calculate the new coordinates of the square KLMN by multiplying the scale factor with each of the coordinate's x and y values.
8 × [tex]\frac{1}{4}[/tex] = 2, -8 [tex]\frac{1}{4}[/tex] = -2 are the different values in the four coordinates.
So by multiplying the scale factor we get the dilated square's points as
K (-2, -2), L(2,-2), M(2, 2) and N(-2, 2).
Step 3; The perimeter of a square is given by 4 times its side length. As the units are in centimeters, we determine the side length is 4 cm whereas it is 16 cm for the undilated square.
Perimeter of original square = 4 × 16 cm = 64 cm
Perimeter of the dilated square = 4 × 4 cm = 16 cm.
Change in perimeter = Perimeter of original square - Perimeter of the dilated square = 64 cm - 16 cm = 48 cm.
Step 4; The area of any given square is the side length of the square squared. The side length of the original square is 16 cm whereas the side length of the dilated square is 4 cm.
Area of original square = 16 × 16 cm = 256 square cm
Area of the dilated square = 4 × 4 cm = 16 square cm.
Change in area = area of original square - area of the dilated square = 256 cm - 16 cm = 240 square cm.
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).
On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that f(x) = 1/4[tex](8)^x[/tex]
The Reflecting f(x) across the y - axis,
[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]
g(x) reflecting across the x-axis,
The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple
We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).
Learn more about function here:
https://brainly.com/question/2253924
#SPJ6
Answer:
Your answer is D
Step-by-step explanation:
I'm being forced to redo a handful of my answers since they were deleted...
"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."
I have a question! Well duhh thats why you see this
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
jp i dont need help ppl keep wanting to see what i look like so sorry!
what property can be used to solve x-3= -5
Answer:
-2
Step-by-step explanation:
x-3=-5
x=-5+3
x=-2
5 and 3 fourths times 2 and 2 eleventh’s
Answer:
138/11
Step-by-step explanation:
5 3/4 * 2 2/11
23/4 * 24/11
(552/44)/4
138/11
42 : 36 : 54 in simplest form
Step-by-step explanation:
42:36:54 divide this by 6
= 7 : 6 : 9 simplest form
Martina runs 7 miles in 50 mins at the same rate how many miles will she run in 75 mins
Martina runs 10.5 miles in 75 minutes
Solution:
Given that,
Martina runs 7 miles in 50 minutes
Therefore, miles ran in 1 minute is:
[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]
At the same rate how many miles will she run in 75 mins
Thus, to find the miles ran in 75 minutes:
[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]
Thus she runs 10.5 miles in 75 minutes
What is the correct answer???
Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate
Explanation:
It is given that the coordinates of the line segment are A(3,2) and B(6,11).
Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3
The distance between the x-coordinates is 3 units.
To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.
The value of x-coordinate from the ratio is 2.
Sum of the ratio is 2 +3 = 5
Thus,
The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5
Substituting the values, we have,
The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]
Thus, Option D is the correct answer.
What is 83.9 rounded two decimal places
Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?
Answer:
approximately (put the approximately sign) $92.94
Step-by-step explanation:
Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.
If theta is an acute angle, solve the equation tangent theta equals four fifths
. Express your answer in degrees, rounded to one decimal place.
Answer:
[tex]\theta=38.7\degree[/tex]
Step-by-step explanation:
We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.
We take tangent inverse of both sides to get:
[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]
Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:
[tex]\theta=38.6598\degree[/tex]
To one decimal place, we have;
[tex]\theta=38.7\degree[/tex]
To solve the equation 'tangent theta equals four fifths', we use the inverse tangent function, or arctan(4/5). Using a calculator in degree mode, the result is approximately 38.7 degrees.
Explanation:To solve the equation tangent theta equals four fifths, we need to find the angle whose tangent is 4/5. We can find this using the inverse tangent function (also known as arctan)
So, theta = arctan(4/5)
Use a calculator to find out the value of arctan(4/5). Make sure your calculator is in degree mode because the answer needs to be in degrees. The answer is approximately 38.7 degrees, rounded to one decimal place.
Learn more about Tangent Theta here:https://brainly.com/question/12652372
#SPJ3
570 times what gets 690
Answer:
1.21052631579 is the exact answer or 1.2 is if you round it
Step-by-step explanation:
This is the answer I got from dividing 690 by 570. Hope this helped
Answer:
1.21 to the nearest hundredth.
Step-by-step explanation:
570 * x = 690
x = 690/570
x = 1.210526316.
Round the following numbers and estimate the product.
72.87 . 37
Please help! Will give Brainliest!
What is the area of this trapezoid? 175 in² 140 in² 129 in² 85 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 4 inches. E C is 6 inches. E B is 7 inches. A B is 15 inches.
Answer:
198
Step-by-step explanation:
Answer:
The answer is 140! brainilest please!
Step-by-step explanation:
Help please, due by midnight
Step-by-step explanation:
The second one is the first claim, because it is a traingles and one square.
The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.
A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)
Answer:
D. or 5(w+10)
Hope this helps :)
HELP QUICK I NEED TO KNOW THIS Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?
The number of coins Sparrow has at the beginning of the game is 92 coins.
How many coins did Sparrow have at the beginning of the game?
Total number of coins = 210.
Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6
Let
x = multiplying factor
The number of coins to Ahab = 4x
The number of coins to Sparrow = 5x
The number of coins to Davy = 6x
Since, total number of coins = 210
So
4x + 5x + 6x = 210
15x = 210
Divide both sides by 15
x = 16
Therefore,
The number of coins to Sparrow = 5x
= 5 × 16
= 80 coins
At the end Ahab and Davy wins 5 and 7 coins respectively
So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5
= 92
Which graph represents the solution for the equation -5/2x -1 = 4x + 2?
Answer:
D would be the best choice.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Did the test
What is the missing number from 81,-,9,-,1
Answer:
-27 and -3
Step-by-step explanation:
81, -27, 9, -3, 1
The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 81,-,9,-,1
we have to find the missing number.
As we observe when 81 is divided by -3 we get -27.
Now when -27 divided by -3 we get 9
When 9 is divided by -3
we get -3
When -3 is divided by -3
the value will be 1.
81, -27, 9, -3, 1
Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ5
PLEASE HELP ILL GIVE BRAINLIEST
The answers are option C) segment and option D) ray
Step-by-step explanation:
Line :
A line has arrow mark in the two ends. So, the diagram is not a line.Point :
A point represents particular spot as a small dot. So, the diagram is not a point.Segment :
It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.Ray :
A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.3x + 2y = 6 is an equation in standard form
Answer:
The value of y when x is 0 is 3
The value of x when y is 0 is 2
Step-by-step explanation:
3x + 2y = 6
3(0) +2y=6—> replace x with 0
2y=6—> divide both sides by 2
y=6
And do the same for y!
The equation 3x + 2y = 6 is a linear equation in standard form. Also, the equation y = 9 + 3x is an equivalent linear equation in slope-intercept form where b is 9 (y-intercept) and m is 3 (slope). A table of (x, y) values derived from this equation would plot as a straight line on a graph.
Explanation:The equation you're looking at, 3x + 2y = 6, is indeed a linear equation in standard form. As a refresher, a standard form equation is written as Ax + By = C, where A, B, and C are constants, and x and y represent variables.
Let's consider another similar example, y = 9 + 3x. In this equation, which is in slope-intercept form, the b term has been set equal to 9 and the m term has been set equal to 3. We can fill out table A1 with different values for x and calculate the corresponding values of y. When plotted on a graph, these points will form a straight line, as dictated by the nature of linear equations.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ2
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answer:
12 m squared
Step-by-step explanation:
area of triangle is 1/2 base x height
base x height is 28 so 1/2 is 14
the area of the rectangle is base x height
1 x 2 = 2
14-2 = 12
Clare has $150 in her bank account. She buys a bike for $200. What is Claire's account balance now?
Cooldown
unit 5, lesson 4
4.4
Answer:
-50
Step-by-step explanation:
she only had 150, but spent 200 she overdrew
she has an overdraft of $50
Answer:-50
Step-by-step explanation:150-200=-50
What is the y-intercept of the function f(x)=4 -- 5x?
Mark this and return
Save and Exit
Next
Submit
I apologize if you are offended by the "bad words" in the answer below. Brainly's censor got offended.