Answer:
option D is the correct answer
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?
Answer: Percentage of infected trees =2%
Step-by-step explanation:
Number of Infected trees =7
Number of healthy trees=43
Total number of trees in the orchard=43+7=50
Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100
7/50 x 100 =2%
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)
Answer:
It is -0.465 when you add it to the nearest thousandth
Step-by-step explanation:
Can someone plz help me plz I beg u plz
Answer:
A.... X=3
Step-by-step explanation:
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?
Answer:
The final answer is 0
Step-by-step explanation:
1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
2 x [(27–3) - (3+4)] = n
what’s (n)
Answer:
n = 34
Step-by-step explanation:
2{(24- ( 3 + 4)) =n
2{(24 - 7) =n
2 x 17 = n
34 = n
swap the sides
n = 34
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.
Answer:
A)
Step-by-step explanation:
The starting balance is $35
after one game purchase, the balance is 35-1.75=33.25
after two game purchases, the balance is 35-(1.75*2)=31.50
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?
Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
All dimensions of a cylinder are multiplied by 1.5. Which statement is true?
A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.
B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.
C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.
D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.
Answer:
The true statement is;
B. The total surface area is multiplied by 2.25
The volume is multiplied by 3.375
Step-by-step explanation:
By scale drawing proportionality, we have;
The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5
∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5
By rule, we have;
The area factor of the surface area = S.F.² = 1.5² = 2.25
Therefore;
The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder
By rule, we have;
The volume factor = S.F.³ = 1.5³ = 3.375
Therefore;
The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.
Answer:
B
Step-by-step explanation:
hey whats the answer to this ? will mark brainliest if correct
Answer:
C. 128°Step-by-step explanation:
Here,
<BAC + <BAE = 180° [Since supplementary angles]
=> 52° + <BAE = 180°
=> <BAE = 180° -52°
=> <BAE = 128° (Ans)
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12
Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.
Answer: 3t+4q.
Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]