Answer:
45
Step-by-step explanation:
10/4x3=7.5
8/4x3=6
6x7.5=45yards
Solve x2 + 4x − 4 = 0
Answer Choices:
x = -2 ± √16 all over 2
x = -4 ± √2
x = -2 ± 2 √2
x = 4 ± √18 all over 2
Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( subtract 2 from both sides )
x = - 2 ± 2[tex]\sqrt{2}[/tex]
URGENT...Please help me with this question!!!!!!
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)
Hi there! :)
Answer:
Choice D. (y - 4) = 3(x + 2)
Step-by-step explanation:
An equation in point-slope form is:
(y - y1) = m(x - x1)
Where:
y1 = y-coordinate of a point
m = slope
x1 = x-coordinate of a point
In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)
Answer:
Step-by-step explanation:
answer is C
Because formula of equation of slop is
Y-y1=m(x-x1)
the area of a square ground is 42025 metre square.Find the perimeter of the field.
Answer:
[tex] \boxed{820 \: m}[/tex]Step-by-step explanation:
Given,
Area of square ground = 42025
Now, let's find the length of square ground
Area of square = [tex] = {l}^{2} [/tex]
plug the values
[tex]42025 = {l}^{2} [/tex]
Swipe the sides of the equation
[tex] {l}^{2} = 42025[/tex]
Squaring on both sides
[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]
Calculate
[tex]l = 205[/tex] meters
The length of square ground = 205 meters
Now,Let's find the perimeter of square
Perimeter of square [tex] = 4l[/tex]
plug the value of length
[tex] = 4 \times 205[/tex]
Multiply the numbers
[tex] = 820[/tex] meters
Hope I helped.
Best regards!!
Find the equation of the line.
Answer:
y = (-1/3)x + 5
Step-by-step explanation:
The format of the equation of line required is in slope-intercept form:
y = mx + c
m is the slope, and c is the y-intercept.
First, lets find the slope.
Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)
Let's say I pick the points (0,5) and (9, 2).
slope m = (y2 - y1) / (x2 - x1)
slope = (2-5 ) / (9-0)
= -3 / 9
= -1/3
the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.
Therefore, the equation of the line will be:
y = (-1/3)x + 5
For which of the following compound inequalities is there no solution?
Answer:
D
Step-by-step explanation:
|6y-3|+8=35
|6y-3|=35-8
|6y-3|=27
[|x-a|=b⇒x-a=± b]
6y-3=±27
1. case 1
6y-3=27
6y=27+3
6y=30
y=30/6=5
case 2.
6y-3=-27
6y=-27+3
6y=-24
y=-24/6=-4
so D
6m≤36
m≤36/6
or m≤6
and m+24≥20
m≥20-24
m≥-4
no solution as m≤-6 and m≥-4
Jeffrey is 5 years older than his brother. If j represents Jeffrey's age, the expression j−5 can be used to find his brother's age. If Jeffrey is 23, how old is his brother
Answer:
18
Step-by-step explanation:
j represents Jeffrey's age
j - 5 represents brother
Jeffrey is 23 so j = 23
j-5 = 23-5 =18 = brother
Answer:
J=23
Then J-5= his brother
substitute and u will find j-5=23-5
=18 so his brother age is 18 years old
Step-by-step explanation:
2/3 divided by 5?If she walks 2/3 by another 5.
Answer:
The answer is 0.133
Step-by-step explanation:
All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.
Answer:
Hello! 2/3 divided by 5 in fraction will be 2/15
Step-by-step explanation:
Since we have a 5 we need to change that into a fraction
5 would turn into 1/5
Now you have to multiply both of the fractions to get your answer.
2/3 x 1/5
= 2/15
(So 2/15 will be your answer.)
Hope this helps! :)
greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
SOMEONE PLS HELP ASAP!!!
The exponential function h, represented in the table, can be written as h(x)=a⋅b^x.
x h(x)
0 10
1 4
Complete the equation for h(x) h(x)=?
Answer: [tex]h(x)=10(0.4)^x[/tex]
Step-by-step explanation:
The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]
From table, at x=0, h(x) =10
Put theses values in equation,, we get
[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]
Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get
[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]
Put value of a and b in the equation ,
[tex]h(x)=10(0.4)^x[/tex] → Required equation.
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students choose football, of which 27 are girls. 27 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer: [tex]\dfrac{27}{65}[/tex]
Step-by-step explanation:
There are 130 students.
There are 58 boys --> 72 girls
A) 49 chose football: 27 are girls --> 22 are boys
B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis
C) 27 students chose tennis: 21 are girls --> 6 are boys.
D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}[/tex]
Total running = 30 boys + 24 girls = 54
Total students = 130
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}[/tex]
The two triangular prisms shown are similar. The
dimensions of the larger prism were multiplied by a
scale factor of to create the smaller prism.
When the large prism was reduced, the surface area
changed by a factor of
125
10
8
25
8
10
о
who arlin aloo
8
10
10
8
Answer: The surface area is reduced by a factor of 16/25
Step-by-step explanation: The area is the square measurements. So squaring the factor of the linear measurement change is the quick way is to determine the factor for the area.
The longer way-- if you had to prove your conclusion:
Compute the area of each side, add all the five sides of the prisms and find the ratio.
The area of the large prism is 500 square units.
The area of the smaller prism is 320 square units
320/500 = 32/50, reduce again 16/25
Answer:
B. 16/25
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
If sin θ=4/5 and 90°<θ<180°, what is cos θ?
Answer:
Cos ∅ = 3/5
BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.
Thus cos∅= -3/5
5x+4y=25 - (5x+2y=3)
Answer:
T1he values for x and y of the equations is y = 11, and x = -19/5.
Step-by-step explanation:
To solve this question, we need to rearrange the expression:
5x+4y=25 - (5x+2y=3)
Look, if we subtract one equation to the other, then:
5x+4y=25 [1]
-(5x+2y=3) [2]
Which is the same as:
5x+4y=25
-5x-2y=-3
Subtract them:
5x+4y=25
-5x-2y=-3
---------------
2y =22
y = 22/2 = 11
Then, y = 11.
To find x, we can substitute y in either equation [1] or [2].
Let us use [1]
5x+4y=25
5x+4(11)=25
5x+44=25
5x=25-44
5x=-19
x = -19/5
Then, the values for x and y of the equations is y = 11, and x = -19/5.
Graph the line that represents this equation 3x - 4y = 8
The graph of the given linear equation can be seen at the end.
How to graph the line?
Here we have the linear equation:
3x - 4y = 8
Isolating, y, we can rewrite:
-3x + 4y = -8
4y = -8 + 3x
y = (-8 + 3x)/4
y = (3/4)*x - 2
Now, we can evaluate the line in two values of x, so we can get two points on the line.
Evaluating in x = 0 and x = 4 we get:
if x = 0
y = (3/4)*0 - 2 = -2
So we have the point (0, -2)
If x = 4 we get:
y = (3/4)*4 - 2 = 1
Then we have the point (4, 1).
Now we can graph these two points and connect them with a line, that is the graph of the linear equation.
The graph can be seen below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
The length of a garden is 2 feet more than its height. Write an equation for the area of the rectangles in terms of height, h. Area = ? sq. ft.
Answer:
h^2+2h
Step-by-step explanation:
Let h be the heigth of this garden
The length of this garden is 2 feet more than the heigth.
So the length can be expressed as h+2
The area of this triangle is the product of the heigth and the length.
A = h*(h+2)
A= h^2 +2h
PLEASE HELP If f(x) = 2x-1 + 3 and g(x) = 5x - 9, what is (f-g) (x)
Answer:
2^(x-1) -5x +12
Step-by-step explanation:
f(x) = 2^(x-1) + 3
g(x) = 5x - 9
(f-g) (x) = 2^(x-1) + 3 - ( 5x-9)
Distribute the minus sign
2^(x-1) + 3 - 5x+9
Combine like terms
2^(x-1) -5x +12
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
help me pls with this complete a and B I will give you brainliest if answer is correct:-)
Answer:
a) Multiplied by 1.04
b)160(1.06)=169.6
Step-by-step explanation:
Its increasing so (1+4%) will be what it multiplied to.
Hope it helps u
160(1+6%)=169.6
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
be a flat circle of radius 45 cm, find the area between the two consecutive ribs of
the umbrella.
Answer:
Yes.
Step-by-step explanation:
You are correct except to the nearest hundredth it is 795.54 cm^2.
What is the value of 13 squared?
Answer: 169
Step-by-step explanation:
13 squared = 13*13
Simply plug this into a calculator to get 169
Hope it helps <3
Answer:
169
Step-by-step explanation:
the answer is 169 because u will square the 13
A ball is dropped from a window 24 m high. How long will it take to reach the ground? Acceleration is 9.8 m/s^2 because of gravity. PLS SHOW WORK
Answer:
0.638 seconds
Step-by-step explanation:
Since the ball is being dropped from a height of 24 meters, the equation will look like this:
24=9.8/s^2.
This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.
Solve the equation:
24(s^2)=9.8
(s^2)=0.408
s^2=0.408
root the number:
0.638
you can round it to the nearest whatever it's asking you to round it to
Im not an expert, so please excuse me if it's not done correctly
simultaneous equations 5x+y=28 x+y=2
Answer:
[tex]( \frac{13}{2} \:, - \frac{9}{2} )[/tex]Step-by-step explanation:
[tex]5x + y = 28[/tex]
[tex]x + y = 8[/tex]
Solve the equation for y by moving 'x' to R.H.S and changing its sign
[tex]5x + y = 28[/tex]
[tex]y = 2 - x[/tex]
Substitute the given value of y into the equation 5x + y = 28
[tex]5x + 2 - x = 28[/tex]
Solve the equation for x
Collect like terms
[tex]4x + 2 = 28[/tex]
Move constant to R.H.S and change its sign
[tex]4x = 28 - 2[/tex]
Subtract the numbers
[tex]4x = 26[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{26}{4} [/tex]
Calculate
[tex]x = \frac{26}{4} [/tex]
Reduce the numbers with 2
[tex]x = \frac{13}{2} [/tex]
Now, substitute the given value of x into the equation y = 2 - x
[tex]y = 2 - \frac{13}{2} [/tex]
Solve the equation for y
[tex]y = - \frac{9}{2} [/tex]
The possible solution of the system is the ordered pair ( x , y )
[tex](x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )[/tex]-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
[tex]5 \times \frac{13}{2} - \frac{9}{2} = 28[/tex]
[tex] \frac{13}{2} - \frac{9}{2} = 2[/tex]
Simplify the equalities
[tex]28 = 28[/tex]
[tex]2 = 2[/tex]
Since , all of the equalities are true, the ordered pair is the solution of the system.
[tex](x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) [/tex]
Hope this helps....
Best regards!!
Answer:
[tex]\boxed{x=6.5} \\ \boxed{y=-4.5}[/tex]
Step-by-step explanation:
5x + y = 28
x + y = 2
Subtract both equations. (eliminating y variable)
4x + 0 = 26
4x = 26
Divide both sides by 4.
x = [tex]\frac{26}{4}[/tex]
x = 6.5
Plug x as 6.5 in the second equation and solve for y.
6.5 + y = 2
Subtract 6.5 on both sides.
6.5 - 6.5 + y = 2 - 6.5
y = -4.5
Which list of ordered pairs represents solutions to x+y=2?
(-4, 6), (0, 2), (4, 2)
(-4, 6), (0, 2), (4, -2)
04-4, -6), (0, 2), (4, 2)
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
A shipping container is in the shape of a cube and has a side length of 6ft. It can hold 4 smaller boxes of flour.
If the dimensions of the shipping container are tripled, what is the max number of smaller boxes of flour that the shipping box can hold
Answer:
c. 108
Step-by-step explanation:
Given
Shape of container: Cube
Initial dimension of the container = 6ft by 6ft by 6ft
Initial Number of boxes = 4
Required
Calculate the number of boxes when the dimension is tripled
The first step is to calculate the initial volume of the box;
[tex]Volume = Length * Length * Length[/tex]
[tex]Volume = 6ft * 6ft * 6ft[/tex]
[tex]Volume = 216ft^3[/tex]
This implies that the container can contain 4 small boxes when its volume is 216;
Represent this as a ratio;
[tex]4 : 216[/tex]
The next step is to calculate the volume when the dimension is tripled;
[tex]New\ Length = Old\ Length * 3[/tex]
[tex]New\ Length = 6ft* 3[/tex]
[tex]New\ Length = 18ft[/tex]
Hence;
[tex]Volume = 18ft * 18ft * 18ft[/tex]
[tex]Volume = 5832ft^3[/tex]
Let the number of boxes it can contain be represented with x
Similarly, represent this as a ratio
[tex]x : 5832[/tex]
Equate both ratios;
[tex]4 : 216 = x : 5832[/tex]
Convert ratios to fractions
[tex]\frac{4}{216} = \frac{x}{5832}[/tex]
Multiply both sides by 5832
[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]
[tex]5832 * \frac{4}{216} = x[/tex]
[tex]\frac{5832 *4}{216} = x[/tex]
[tex]\frac{23328}{216} = x[/tex]
[tex]108 = x[/tex]
[tex]x = 108[/tex]
Hence, the maximum number of boxes it can contain is 108
Please help.. tysm if you do
Answer:
the answer is option A one graph
and I think or am sure it is correct ans.
can someone please tell me what is 100% of 45
Answer:
45.
Step-by-step explanation:
100% of a number is the number itself. So, 100% of 45 is 45.
Hope this helps!
Answer:it’s 45
Step-by-step explanation:It’s just the whole number nothing less:)
Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right triangle have sides that measure 12, 16, and 20? Show your work and answer.
Answer:
A - 7 = -13
Add 7
A = -6
10X - 8 = 9X + 8
Add 8
10X = 9X + 16
Subtract 9X
X = 16
In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2
Thus, plug in the values.
12^2+16^2=20^2
144+256=400
400=400.
Because the equation is true, 12, 16, and 20 can be a right triangle
Hope it helps <3
Answer:
For the first question/equation, A=-6. You can just add seven on both sides.
A-7+7=-13+7 A=-6
For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16
For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]