Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
Radical equations and expressionGiven the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
Learn more on radical expression here: https://brainly.com/question/738531
Answer:
B x = 3
Step-by-step explanation:
What is the volume of the figure below if a = 4.3 units, b = 5.3 units, and c = 3 units?
a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units
1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4
Answer:
The side lengths will form a triangle because 6+4 > 7
Step-by-step explanation:
For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.
surface area of this right prism
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]
[tex] \textbf{Area of Triangles :} [/tex]
[tex] \sf{\dfrac{1}{2}\cdot 16\cdot 12} [/tex][tex] \sf{8×12} [/tex][tex] \sf96 \: \: cm {}^{2} [/tex][tex] \textsf{Since there are two triangles, } [/tex]
[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]
[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]
[tex] \textsf{Area - 1 = 12 × 10 = 120 cm²} [/tex][tex] \textsf{Area - 2 = 16 × 10 = 160 cm²} [/tex][tex] \textsf{Area - 3 = 20 × 10 = 200 cm²} [/tex][tex] \textsf{Now add them all :} [/tex]
[tex] \textsf{120 + 160 + 200 + 192} [/tex][tex] \textsf{672 cm²} [/tex]
Answer:
Step-by-step explanation:
(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared
A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters.
What is the surface area of the triangular prism shown?
32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters
\
Answer:
d
Step-by-step explanation:
If a parallelogram has dimensions of 44 cm and 66 cm, what is the perimeter in millimeters?
perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter
sin C = AB/??
BA
AC
BC
AB
Answer:
Step-by-step explanation:
100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
The edge length, s, of a regular tetrahedron is approximately given by , where V is the volume of the terahedron. Use a graphing calculator to graph the function. Estimate the volume of a regular tetrhedron with an edge length of 4 inches.
Volume of a tetrahedron with edge s
[tex]\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}[/tex]
According to question
s=4in[tex]\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}[/tex]
[tex]\\ \rm\Rrightarrow V\approx 7.5425in^3[/tex]
Answer:
See below ~
Step-by-step explanation:
Volume of a tetrahedon
V = s³ / 6√2s = edge lengthSolving for V
V = (4)³ / 6√2V = 64 / 6√2V = 32 / 3√2V = 32√2 / 6V = 16√2 / 3V = 7.54 cubic inchesGraph
50 POINTS PLS HELP
The graph shows the quadratic function f(x).
What is the average rate of change for the quadratic function from x = 10 to x = 12?
I will give brainliest, and I need help fast.
Answer:
3
Step-by-step explanation:
find value at 12 =12
find value at 10 = 6
so it changes + 6 for a change from 10 to 12
6/2 = 3
Are the following functions exponential growth or decay?
Graphing Exponentials
a) f(x)=10(2)x
is this exponential growth? or exponential decay?
b) f(x)=2(0.5)x
is this a exponential growth? or exponential decay?
Answer:
a) growth b) decay
Step-by-step explanation:
In the function f (x) = b^x when b > 1, the function represents exponential growth.
In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.
a)b=2 > 1 this function growth
b)b=0.5 < 1 this function decay
During a sale, a store offered a 15% discount on a TV that originally sold for
$540. After the sale, the discounted price of the TV was marked up by 15%.
What was the price of the TV after the markup? Round to the nearest cent.
0.765 (100) + .06 (.0765 x 100)
76.5 + .06 (76.5)
76.5 + 4.59 = 81.09 Chris will pay $81.09
A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:
0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.
Why the 1 in front of the .06? The one includes the price of the coat so you don't have to add the tax on after.
Think about it like this. When you buy something you pay (even with an employee
discount) for all of it (100%) + the tax (in this case, it's 6%) So you pay 106% of the cost of the item. 106% = 1.06
Melissa weighed 14 packages. Their mean weight was 3 pounds. What was the total weight of the 14 packages?
pounds
The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds
How to calculate mean?We are given;
Mean weight = 3
Now,formula for mean is;
Mean = total/sample size
We are given;
Sample size = 14
Thus;
3 = total/14
Total = 3 * 14
Total weight = 42 pounds
Read more about Mean average at; https://brainly.com/question/20118982
#SPJ1
Solve for x 10(2x-4)=100x
A.x=7
B. x=3
C.x=1/2
D.x=-1/2
Answer:
The value of x = -1/2
Step-by-step explanation:
=> 10(2x-4)=100x
=> 20x - 40 = 100x
=> -40 = 100x - 20x
=> -40 = 80x
=> -40/80 = x
=> -1/2 = x
need help will give brainlist
Answer:
It's the 2nd one 3y2-43y over 12y2
Step-by-step explanation:
First u do a common denominator u multiply on the first side by 6y on the second side by 4 then u solve it till u get 6y2-86y over 24y2 then simplify by dividing by 2
What is the area of the figure below?
3 5/6in 6in
Answer:
120
Step-by-step explanation:
Collect like terms
3
x
2
+
x
+
2
x
2
Answer:
x+10
Step-by-step explanation:
Your local garden shop has plants on sale for $1.50 each. You are planning a vegetable
garden. You have $20 to spend on tomato plants
a.) write an inequality to find the greatest number of plants you can buy.
60 points please helppp
The inequality that can be used to find the greatest number of plants you can buy is p ≤$20 / 1.50.
What inequality can be used to find the greatest number of plants you can buy?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used in this question is ≤.
(cost of plant x number of plants) ≤ total spending money
$1.50p ≤ $20
p ≤ $20 / 1.50
To learn more about inequality, please check: https://brainly.com/question/5031619
Are my answer correct? If not explain why.
Answer:
Step-by-step explanation:
a)
First I will calculate the equation of the line that goes trough the points
C (0, 0) and (-4, 3).
y= mx + b
y = [(3-0)/ (-4 -0) ] x + 0
y = (-3/4)x →the slope of tis line is (-3/4)
The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.
Slope of line l is 4/3
b)
The equation of l is
y= (4/3)x + b
for point (x= -4, y = 3) that belongs to the line l, we have
3 = (4/3) (-4) + b
3 = (-16/3) + b
3 + (16/3) = b
(9+16)/3 = b
25/3 = b
The equation of the line l in slope intercept form is :
y = (4/3)x + (25/3)
c)
The radius of circle C is the distance between C (0, 0) and (-4, 3).
d² = (x2-x1)² +(y2-y2)²
d = √(-4-0)² +(3-0)²
d = √16+ 9
d = 5 → the radius of the circle C is 5
d)
Line l intersects the y-axis at (25/3) as we previously found out.
The radius is 5.
...therefore the distance between the line l's y-intercept and the circumference of the circle is
(25/3 ) - 5 = (25 - 5·3)/3 = 10/3
state the slope of the line perpendicular to the line -2x+5y=12
Answer:
- 5/2
Step-by-step explanation:
Arrange this line equation into y = mx + b form m = slope
y = 2/5x + 12/5
then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2
possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.
Answer:
about 520,000
Step-by-step explanation:
Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.
__
The value of x will be the number of days between May 26 and May 12. That value is ...
x = 26 -12 = 14
Then the number of mosquitos is estimated to be ...
y = 230,000(1.06^14) ≈ 520,008
About 520,000 mosquitos will inhabit the city on May 26.
_____
Additional comment
Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.
Find the volume of this rectangular prism.
6 cm
16 cm
1 cm
Answer:
The answer is 96
Step-by-step explanation:
Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.
Find the probability that x > 5
Answer:
The probability of x ≥ 5 is.05Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧x - 9y = -19 What is thr slope intervept form and answer
Answer:
[tex]y=\frac{1}{9}x+19/9[/tex]
Step-by-step explanation:
First get y by itself.
[tex]x-9y=-19\\-9y=-x-19\\[/tex]
Then variable y itself
[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]
1. Which indicates the dilation of a figure in the coordinate plane?
A. (x,y) —> (kx,ky)
B. (x,y) —> (-y,x)
C. (x,y) —> (-x,-y)
D. (x,y) —> (x+h,y+v)
Answer:
A. [tex](x,y)[/tex] ⇒ [tex](kx, ky)[/tex]
Step-by-step explanation:
Because that's the dilation equation or formula
Which function has the greatest maximum y-value?
A) f(x)
B) g(x)
C) h(x)
D) AIl three functions have the same maximum y-value.
Answer:
g(x)
Step-by-step explanation:
y-intersect for h(x) is -11 as shown in the table, where the x value is 0
y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99
y-intersect of g(x) is 3 as shown in the drawing
as seen across the three y-intersects, the value of g(x) y-intesect is the greatest
What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?
Answer:
y = 3x - 6
Step-by-step explanation:
The line here is parallel
Slope remains the sameY-intercept is now -6Equation of line
y = mx + c [where m = slope and c = y-intercept]y = 3x - 62 ( x - 8 ) + 2 ( 12 ) how do i solve it?
If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?
Answer:
i think it's c
Step-by-step explanation:
sorry if I'm wrong
Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th period students. The dot plots are displayed to the right. Use this information to answer the questions below.
The dot plots is an illustration of charts and graphs
The average score of period 7 is greater than the average score of period 1
How to determine the period with the higher average?From the dot plots in the complete question, we have the following frequency tables
Period 1 Period 7
Score Students Score Students
55 1 65 1
70 1 75 3
75 6 80 5
80 6 85 6
85 2 90 3
90 3 95 2
95 1
The average is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
For period 1, we have:
[tex]\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}[/tex]
Evaluate the sum
[tex]\bar x_1 = \frac{1590}{20}[/tex]
Evaluate the quotient
[tex]\bar x_1 = 79.5[/tex]
For period 7, we have:
[tex]\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}[/tex]
Evaluate the sum
[tex]\bar x_7 = \frac{1660}{20}[/tex]
Evaluate the quotient
[tex]\bar x_7 = 83[/tex]
By comparison, 83 is greater than 79.5
Hence, the average score of period 7 is greater than the average score of period 1
Read more about dot plots at:
https://brainly.com/question/12276901
Question 1
4 pts
Rewrite each equation so that the expression on one side could be graphed and the x-
intercepts of the
graph would show the solutions to the equation.
a. 3r? = 81
b. (x-1)(x+1)-9=5x
Cr? - Sx + 10 = 32
d. 6x(x-8)=29
The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.
What are the re-written equations?A) 3X² = 81
Rewritten, we have 3X² - 81 = 0
This is also = 3(X² - 27) = 0
B) (X - 1)(X + 1) - 9 = 5X
Open the brackets and we have X² - 1 - 9 - 5x = 0
Simplified, we have X² - 5X - 10 = 0
C) X² - 9x + 10 = 32
Collect like terms and we have:
X² - 9X - 22 = 0
D) 6x(x - 8) = 29
Expand the bracket and collect like terms such that the equation is equal to zero and we have
6X² - 48x - 29 = 0
Using Desmos Graphing, the following results can be obtained showing that x intercepts at:
(a) (-5.196, 0) & (5.196, 0)
(b) (-1.531, 0) & (6.531, 0)
(c) (-2, 0) & (11, 0)
(d) (-0.564, 0) & (8.564, 0)
Learn more about graphed equations at:
https://brainly.com/question/14323743
1/7 divided by 3
Is it 1/3 or 1/2 im so confuse
[tex] \frac{1}{7} \div 3[/tex]
solution:[tex] \frac{1}{7} \div \frac{3}{1} [/tex]
[tex] \frac{1 \times 1}{7 \times 3} [/tex]
[tex] = \frac{1}{21} [/tex]