Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
please please help me
Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Square:
side = 3 in
[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]
= 3*3
= 9 square inches
Rectangle:
length = 10 in
width = 3 in
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 10 *3
= 30 inches
Circle:
diameter = 9 in
radius = 9 ÷ 2 = 4.5 in
[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]
= 3.14 * 4.5 *4.5
= 63.6 square inches
Total area = area of square + area of rectangle + area of circle
= 9 + 30 + 63.6
= 102.6 square inches
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!
Answer:
To get the discount for the 5 pound bag of apples, we must first note the following:
The original price of the apples, which in this case it is 2.99
Also we must note the sale price for the apples which is 1.59
to get the discount for apples we must then create an equation based on the above information,
Discount for A= original price -sale price
Discount for A=2.99-1.59
Discount for A=1.40
Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.
Part 2
To get the discount for oranges we follow the same steps.
Discount for R= Original price for R -sale price for R
Discount for R=3.99-2.59
Discount for R=1.40
In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:
D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)
Answer:
I'm not certain I understand what is being requested. Please see the attached explanation for two different approaches.
Step-by-step explanation:
See attachment.
pleas help with the khan academy question
Answer:
1. 10
2. 4
3. 8
Step-by-step explanation:
You have to fill in the given values for y and undo in reverse order to find x.
1. y = 6
6 = x - 4
6 (+ 4) = x - 4 (+ 4)
10 = x
2. y = 0
0 = x - 4
0 (+ 4 ) = x - 4 (+ 4)
4 = x
3. y = 4
4 = x - 4
4 (+ 4) = x - 4 (+ 4)
8 = x
I hope this helps! Have a lovely day!! :)
The slope of a given line is. 3/5 What is the slope of the line parallel / perpendicular to
it? Write your answer as a fraction in simplest form.
Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1. So if one line has a slope of 3/5, then a line perpendicular to it has a slope of -5/3.
A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line
What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tall?
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
Additional comment
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
find the surface area of a cube with a side length of 1/9
To find the surface area, we must define what is the surface area
Definition of Surface Area: is all the areas of the sides of the 3D shapes added upIn this case, we have a cube
⇒ which means all the sides have equal areas since all the side lengths
are equal
That means the surface area
⇒ is equal to ⇒ 6 * (Area of One Side)
'6' comes from the # of sides on a cube
Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27
Hoped that helped!
A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>
Answer:
u got this bro come on
x28
Complete the table and then graph the function.
y = 5x
Answer:
Coordinates: (0,0) ; (1,5) ; (2,10)
Step-by-step explanation:
x | y
0 0
1 5
2 10
Coordinates: (0,0) ; (1,5) ; (2,10)
This should be a straight line that is going diagonally with a positive slope.
What is the price per foot.
Step-by-step explanation:
oh, come on ! you really cannot figure that one out ?
as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.
so, 18 ft cost $2.88
1 ft costs then 2.88/18 = $0.16
How to find the complement of a 58 degree angle
Answer:
32°
Step-by-step explanation:
Complementary angles sum to 90°
the complement of 58° is
90° - 58° = 32°
Complementary angles add up to [tex]\sf{90^\circ}[/tex].
In order to find the complement of the given angle, we should set up the following equation:-
(let n be the unknown angle)
[tex]\sf{n+58=90}[/tex]
Subtract 58 from both sides:-
[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]
Hence, the complement of the angle is 32 degrees.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$100.8
Step-by-step explanation:
1.
y = 4x - 7
4x + 2y = -2
• show your work
• correct X and y
2.
4x^2 + 3 = 39
• show your work
• correct answers
Answer:
1)
x = 1
y = -3
2)
x = 3 or x = -3
Step-by-step explanation:
1)
System of equations, we plug in y to the second equation
[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]
We then plug x back into the first equation to find y
[tex]y = 4(1) -7\\y = -3[/tex]
2)
[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]
A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent
Answer:
28.57%
Step-by-step explanation:
to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).
2÷7=.2857
to turn it into a percentage we move the decimal point 2 to the right
28.57
The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?
Answer:
C ≈81.64 inches
Step-by-step explanation:
Formula : C ≈ πd
Where:
C = circumference
π ≈ 3.14 {About}
d = diameter
As Given :
Wheel of a bike has a diameter of 26 inches.
Solution:
Note - Given that diameter = 26
π ≈ 3.14 {About}
C ≈ 3.14 (26)
C ≈ 81.64
Therefore the circumference of the wheel is 81.64 inches
Kavinsky
this really hard for me so if you could leave a explanation that would be great.
Answer: The answer is B and C.
Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.
Which scatterplot has a correlation coefficient closest to r = -1?
Step-by-step explanation:
negative correlation because the negative correlation moves towards the left.
What is the measure of \angle D∠Dangle, D?
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Answer correctly with good explanation. Please and thank you
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
What is a square root?
Answer: the factor that we can multiply by itself to get that number
Step-by-step explanation:
For example, the square root of 4, is 2 because 2*2 is 4.
Answer:
the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give
Step-by-step explanation:
Decide whether each equation is true or false.
1. 9 ⋅ 9 ⋅ 3 = 3 5
2. 7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
3. 1 7 ⋅ 1 7 ⋅ 1 7 = 3 7
4. 4 1 = 4 ⋅ 1
5. 6 + 6 + 6 = 6 3
Answer:
Step-by-step explanation:
Number 1 FALSE
9 * 9 * 3 = 81 * 3 = 243
Number 2 TRUE
7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
7 * 3 = 3 * 7
21 = 21
Number 3 FALSE
17 * 17 * 17 = 4913
Number 4 FALSE
4 * 1 = 4
Number 5 FALSE
6 + 6 + 6 = 18
Gwen owes a total of $4,522.50 on revolving credit accounts thar have total limits of $7,950.00. Calculate the amount she needs to pay on her revolving credit accounts to reach a 25% debt-to-credit ratio.
$1,922.50
$2,100.00
$2,517.50
$2,535.00
WHAT IS -X-5 I AM STUCK ON THIS QUESTIOOOOON
Answer:
Step-by-step explanation:
What is the slope of the line that includes these two points
Answer:
[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]
Step-by-step explanation:
[tex]m=\dfrac{rise}{run}[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-8}{-7-5}[/tex]
[tex]m=\dfrac{-2}{-12}[/tex]
[tex]m=\dfrac{1}{6}[/tex]
Hope it helps! :)
What does 'n' represent in the general term (tn) = an2 + bn+c of a sequence?
Answer:
number of terms
Step-by-step explanation:
Answer:
n represents any natural number.
Step-by-step explanation:
What is BC?
Enter your answer in the box.
Answer:
BC = 25
Step-by-step explanation:
I'm gonna assume that the triangle is an isosceles triangles, so sorry if this doesn't help!
4x + 1 = 2x + 23
2x + 1 = 23
2x = 22
x = 11
3(11) - 8
33 - 8
= 25
Help this is soooooo hard for me
Answer: Choice C
Mean = 37.1
==================================================
Explanation:
Refer to the table below. The colum labeled "M" is the midpoint for each age interval. To find the midpoint, add up the endpoints and divide by 2. For example, the midpoint of 18 and 24 is (18+24)/2 = 42/2 = 21. Notice how the values of M are increasing by 7 each time.
The column labeled fM refers to multiplying the frequency f with the midpoint M. Example: fM = 6*21 = 126 in the first row.
Add up everything in the column labeled fM and you should get 1484. Divide this over the sum of the frequencies (40) and the mean is 1484/40 = 37.1
Answer:
c is the right answer
Step-by-step explanation:
hope i helped
Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π
B. 5/2π
C. 4π
D. 10π
well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then
s = (1)(5π)
s = 5π.
True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.
The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.
What is a pooled sample?It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.
In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.
In conclusion, the correct option is true.
Learn more about sampling on:
https://brainly.com/question/24466382
A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.
Answer:
60 miles
Step-by-step explanation:
[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]
Remember these are ratios!
Hence, they are 60 miles apart
Find the surface area of this figure.
Step-by-step explanation:
6x3 (3 is because it's half of 6) =18 to find the area of I triangle, I now divide it by 2. 18÷2=9. there are 8 separate triangles so 9x8=72. now the square. 6x6=36. now add 72 + 36=108 in.
