Question:
For which value of x must the expression √97x be further simplified?
A. 5 B. 10 C. 15 D. 20
Answer:
[tex]D.[/tex] [tex]x = 20[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{97x[/tex]
Required
For what value of x can it be simplified
From the list of options, only (D) is correct
D. 20
Substitute 20 for x in [tex]\sqrt{97x[/tex]
[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]
Express 20 as 4 * 5
[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]
Reorder
[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]
Split
[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]
[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]
With other values of x, the given expression can not be simplified.
Hence:
[tex]x = 20[/tex]
A coordinate plane is used to track the movement of a ship. The ship moved from (8, - 4) to (11, 11) on the coordinate plane. Which of the following translations describes the movement of the ship?
Answer:
the ship moved 4 coordinates away from the current position
Step-by-step explanation:
because 8-4 is 4
In the coordinate plane,
The ship moved 3 units right and 14 units up.
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
A coordinate plane is used to track the movement of a ship.
The ship moved from (8, - 4) to (11, 11) on the coordinate plane.
The translation:
(11, 11) → (11 - 8, 11 +4) = (3, 14)
That means,
The ship moved 3 units right and 14 units up.
Therefore, hip moved 3 units right and 14 units up.
To learn more about the translation in geometry;
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Kara bought a gift for her nephew. She spent $25 on the gift. Sales tax was 6.75%. What was the total cost for the gift , including tax?
To find total price multiply the cost of the item by 1 + tax rate.
25 x 1+6.75% = 25 x 1.0675 = 26.69
The total cost was $26.69
Find the triangles area drawing not to scale.
Answer:
35 lol
Step-by-step explanation:
a = b*h/2
a = 10*7/2
a = 70/2
a = 35 lol
Write an algebraic expression for the following situation: 12 3/4 less than the product of 7 and a number x *
Answer:
7x - 12 3/4
product of 7 and a number x: 7x
12 3/4 less than the... : - 12 3/4
Answer:
7x - 12 3/4
Step-by-step explanation:
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 7[tex]\sqrt{2}[/tex] and y = 7
Step-by-step explanation:
Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex] so x = 7[tex]\sqrt{2}[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are required.
The required values are
[tex]x=9.9\ \text{units}[/tex]
[tex]y=7\ \text{units}[/tex]
The given triangle is a right angled triangle.
Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]
The sum of the angles is [tex]180^{\circ}[/tex]
The missing angle is
[tex]180-(90+45)=45^{\circ}[/tex]
Since, the two angles are equal the side opposite the angles will also be equal.
So,
[tex]y=7[/tex]
Applying the Pythagoras theorem.
[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]
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This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
Answer:
12
Step-by-step explanation:
I took the k12 test and 12 was correct, all though these test may look the same but numbers and questions are asked just alike but different so this answer might not work for you, hope this helps!
Simplify (write without the absolute value sign):
|x÷3|, if x < 0
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
Answer:
0
Step-by-step explanation:
Write the equation of the line shown on the graph in slope-intercept form.
Has to be in slope-intercept form.
Answer:
1/1
it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.
Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)
Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
PLEASE HELP QUICK ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer: 5 x 2 1/2 x 1 1/2
Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.
Hope that helps :)
which of the following numbers are square numbers select all that apply 2,6,8,9
Answer: Only nine.
Step-by-step explanation: Nine squared is three. Have a blessed day.
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
can someone fill this for me?
Answer:
6.2 by the power of 0 pulse 3
Step-by-step explanation:
dis is for my friend to answer
A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company considers all the ways to arrange 16 cubes of the chalk. (Which arrangement of chalk would require the most cardboard for the box?)
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches
Answer:
-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16
-Soo 16 inches by 1 inch by 1 inch
Step-by-step explanation: Hope this help :D
Mai drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 296 miles?
Answer:
11.1
Step-by-step explanation:
320/ 12 = 26 2/3
296 / (26 2/3) = 11.1
Jasmine invests £250 in a building society. After the first year her account
contains £262.50. After the second year it contains £280.88. Calculate the
percentage increase of the amount in her account:
(a) during the first year.
(b) during the second year.
(c) over the two years.
Give your ansivers correct to 2 decimal places
Answer:
(a) 5.00%
(b) 7.00%
(c) 12.35%
Step-by-step explanation:
(a) Find the difference, in £, between the value after the first year and the original value. Divide that by the original value and multiply by 100:
[tex]262.50-250=12.50\\\\\frac{12.5}{250}*100= \frac{125}{25}=5.00\%[/tex]
(b) Find the difference, in £, between the value after the second year and the value after the first year. Divide that by the value after the first year and multiply by 100:
[tex]280.88-262.50=18.38\\\\\frac{18.38}{262.50}*100= 7.0019\%=7.00\%[/tex]
(c) Find the difference, in £, between the value after the second year and the original value. Divide that by the original and multiply by 100:
[tex]280.88-250=30.88\\\\\frac{30.88}{250}*100= 12.352\%=12.35\%[/tex]
Which point is located at (4, -3)? will give brainliest
A) A
B) B
C) C
D) none of these
Answer:
d
Step-by-step explanation:
because if u look at 4 on the right there is no dot there or below it
Answer:
D
Step-by-step explanation:
None of these
HELP ME!!!!!!!!!!! ANSWER 6-10
Answer:
LOOK BELOW!
Step-by-step explanation:
6#
6. (-3, 0)
7. (-1, -2)
8. (-5, -3)
9. (1, -1)
10. (1, -2)
how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)
[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]
6. (-3,0)
7. (-1,-2)
8. (-5,-3)
9. (1,-1)
10. (1,-2)
[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
Does each of the following result in
X^2– 100?
A (x-90) + (x - 10)
B (x - 9)^2 – 19
C x(x – 100)
D (x + 10)(x - 10)
A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
Please help me with my math
Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales
Responder:
Los cuadros 89 y 91 presentan proporcionalidad directa
El cuadro 90 muestra una correlación directa.
Explicación paso a paso:
De la imagen adjunta:
Cuadro 89:
Para mostrar proporcionalidad directa:
y α x
y = kx; k = constante de proporcionalidad
Comprobando las tablas:
Cuadro 89:
A = 1,5; B = 3
B = kA; 3 = 1.5k
k = B / A
k = 3 / 1,5 = 2
Usando k = 2;
demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.
B = 2 * 2 = 4
Por tanto, el cuadro 89 exhibe proporcionalidad directa
Comprobando las tablas:
Cuadro 90:
C = 2; D = 8
D = kC; 8 = 2k
k = 8/2 = 4
Usando k = 4;
demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.
B
D = 4 * 3 = 12
De la tabla, D = 9;
Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.
Comprobando las tablas:
Cuadro 91:
E = 1; F = 1/2
F = kE; 1/2 = k
k = 1/2
Usando k = 1/2;
demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.
F = 1/2 * 3 = 3/2
Por tanto, el cuadro 91 presenta proporcionalidad directa.
Someone help plz and make sure its right
12.1 yd
Step-by-Step Explanation:12.14 yd; round and get 12.1 yd
The area of circle Z is 64Pi ft2. Circle Z is shown. Radius D has length r. R = StartRoot StartFraction Area Over pi EndFraction EndRoot What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft
Answer:
r = 8 ft
Step-by-step explanation:
Area of a circle => πr²
We are told in the question that:
The area of circle Z is 64Pi ft²
= 64π ft²
What is the value of r
We equate
πr² = 64 π
r² = 64 π/π
r² = 64
We square root both sides.
√r² = √64
r =>8 ft
The radius of the given circle Z is 8ft which was solved using the area of the circle
Data;
Area = 64π ft^2radius = rArea of a CircleThe formula of area of a circle is given as
[tex]A = \pi r^2[/tex]
Let's substitute the values and solve
[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]
divide through by π
[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]
Let's take the square root of both sides
[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]
The radius of the circle Z is 8ft
Learn more on area of a circle here;
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plsss help i’ll give brainliest if you give a correct answer
Answer:
(-2) and 3
Step-by-step explanation:
Answer:
f=-2, f=3, f=-4, they are all smaller than 4!!!
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week
and he sold 204 erasers this week.
Answer:
$900
Step-by-step explanation:
He makes $288 the first week and $612 the second week the total amount of money he makes is $900
Answer:
96*3= $288 from last week
204*3= $612 from this week
The total is $900 from both weeks
Step-by-step explanation:
Hope this is what you were asking!
hii please help i’ll give brainliest!!
Classify the system. Give the number of solutions.
y=-4x+2
4x + y= -2
Answer:
No Solution
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=
Answer:
x = 49Step-by-step explanation:
Fins the similar diagram attached;
The sum of the angles is 180 degree since they lie on the same straight line. Hence;
3x - 13 + x - 3 = 180
Collect the like terms;
3x+x -13 - 3 = 180
4x - 16 = 180
4x = 180 + 16
4x = 196
x = 196/4
x = 49
Hence the value of x is 49
Note that the values in question is different from that of diagram but the diagram is similar to what we need
The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14