Answer: x=4y+24
b=b
How to: Solve in terms of the arbitrary variable y .
Have a great day and stay safe ! So sorry if im wrong .
If the ratio of baseballs to golf balls is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box
Answer:
45
Step-by-step explanation:
Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.
2×15= 30
3x15= 45
Let A be a matrix with independent rows. A. Show that AAT is invertible. B. Show that if b is any vector in Col(A), then the equation Ax = b has a solution in Row(A) given by xR = AT (AAT )−1 b. (The matrix AT (AAT )−1 is called the pseudoinverse of A, and is usually denoted by A+ . It is a right inverse of A, and coincides with the two-sided inverse A−1 if A is square.) c. The mapping of Col(A) to Row(A) given by xR = AT (AAT )−1 b is an isomorphism
Answer:
Attached below
Step-by-step explanation:
Given that A is a matrix with independent rows
A) Prove [tex]AA^{T}[/tex] is invertible
rank of A = number of rows of Matrix A
This shows that | A | ≠ 0 ( i.e. A has a full rank )
also [tex]|A^{T} |[/tex] ≠ 0
and [tex]|AA^{T}|[/tex] = | A | [tex]|A^{T} |[/tex] ≠ 0
Hence we can conclude that [tex]AA^{T}[/tex] is invertible
B) Prove that b is any vector in Col( A )
Attached below is the detailed solution
C) Mapping of Col ( A ) to Row ( A )
b is a non-zero vector hence AXr = 0 ( i.e. there is no solution )
also the kernel of the mapping will be Null
show that mapping preserves the operation
attached below is the detailed solution
Need help fast!!!!!!!!
Answer:
the arc length of minor arc AC is
[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]
Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Answer:
14.04 ft^3
Step-by-step explanation:
2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked. If the store has 3,000 eggs for sale, how many can expect to be cracked. (Prediction = Proportion)
Group of answer choices
90
60
600
900
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
In 200 eggs cracked =6
in 1 egg cracked =[tex]\dfrac{6}{200}[/tex]
According to the question,
If the store has 3,000 eggs for sale, how many can expect to be cracked.
In 3000 eggs cracked=[tex]\dfrac{6}{200}×3000[/tex]
90 eggs Therefore:-If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked
If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.
What is Proportion?A proportion is an equation in which two ratios are set equal to each other.
For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
Given that :
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
In 200 eggs cracked = 6 / 200 in 1 egg cracked
According to the question,
If the store has 3,000 eggs for sale, how many can expect to be cracked.
In 3000 eggs cracked = 6 / 200 x 3000
= 90 eggs
Hence, If the store has 3,000 eggs for sale, 90 eggs can expect to be cracked.
Learned more about Proportion, click;
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Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]AB=\sqrt{(2-0)^2+(4-1)^2}[/tex]
[tex]AB=\sqrt{(2)^2+(3)^2}[/tex]
[tex]AB=\sqrt{4+9}[/tex]
[tex]AB=\sqrt{13}[/tex]
Similarly,
[tex]BC=\sqrt{(6-2)^2+(0-4)^2}[/tex]
[tex]BC=\sqrt{(4)^2+(-4)^2}[/tex]
[tex]BC=\sqrt{16+16}[/tex]
[tex]BC=\sqrt{32}[/tex]
[tex]BC=4\sqrt{2}[/tex]
Now, the length of the rectangle is [tex]AB=\sqrt{13}[/tex] and the width of the rectangle is [tex]BC=4\sqrt{2}[/tex]. So, the area of the rectangle is:
[tex]A=length \times width[/tex]
[tex]A=\sqrt{13}\times 4\sqrt{2}[/tex]
[tex]A=4\sqrt{26}[/tex]
[tex]A\approx 20[/tex]
Therefore, the area of the rectangle is 20 square units.
Amelia made a line plot of her scores on 25-point math quizzes.
What is the difference between the total of her most frequent number of points per quiz and
the total of her greatest number of points scored per quiz?
A. 0 points
B. 6 points
C. 18 points
D. 22 points
Answer:
How do I ask a question on here?
Step-by-step explanation:
Answer:
B.6 points
Step-by-step explanation:
First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.
Un comerciante tiene 1108 cajas de zapatos y los quiere guardar en el cajon de su camion. Para saber si caben todas las cajas el coloca 20 a lo largo,7 a lo ancho y 8 a lo alto ¿puede guardar todas las cajas de zapatos en el cajon?
Answer:
El comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón
Step-by-step explanation:
Tenemos que encontrar el volumen de la caja.
Se nos dice en la pregunta que:
Coloca 20 a lo largo, 7 a lo ancho y 8 a la altura.
Volumen = Largo × Ancho × Alto
Largo = 20, Ancho = 7, Alto = 8
Volumen = 20 × 7 × 8
= 1120
También se nos dice que: el comerciante tiene 1108 cajas de zapatos y quiere guardarlas en el cajón de su camión.
Comparando esto con nuestro cálculo anterior, el comerciante NO PUEDE guardar todas las cajas de zapatos en el cajón
Plz help on this ASAP I forgot
Answer:
B) If you use 9 cups of almonds, you need 5 cups of flour
Step-by-step explanation:
If 9 is your x-coordinate, that represents 9 cups of almond.
If 5 is your y-coordinate, that represents 5 cups of flour.
Therefore, B is correct
The area of a regular polygon is 100.8cm2. The perimeter is 56cm, what is the length of the apothem
Answer:
3.6 cm
Step-by-step explanation:
Note that:
Area = 1/2 x perimeter x apothem.
To find the Apothem, the formula =
Area ÷ (1/2 × Perimeter)
Area = 100.8cm²
Perimeter = 56 cm
Hence,
Apothem =
100.8 cm² ÷ (1/2 × 56 cm)
= 100.8cm² ÷ 28cm
= 3.6 cm
Therefore, the Length of the apothem is 3.6 cm
Point D is located at (-13, -1). Point Q is located at (0, 12). Determine the slope-intercept equation of line DQ.
Answer:
y=x+12
Step-by-step explanation:
m (slope)=1
y-intercept=12
hope this helped have a great day :)
Amanda bought 19 packs of cookies for $22.99 from the supermarket. How many packs of cookies can she buy for $59.29?
Answer:
49
Step-by-step explanation:
1.21 x 49 = 59.29
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 6 yd. Find the area of the shaded
region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
16 yd
yd
yd?
yd
X Х
$
Check
HELP PLEASEEE
Answer:
15.48 yd squared
Step-by-step explanation:
This is because 6 yards can be used as the radius of your circle. square your radius, so 6x6 which is 36 then multiply by 3.14. You then get 113.04. Since it is a semicircle, divide it by 2. You now get 56.52. If you know your radius, you know your diameter which is 12. 12 is also the length of the rectangle so 6x12 is 72 which is the area of the rectangle. Now subtract 56.52 from 72 to get 15.48 which is the shaded region of the rectangle. So I believe that you are doing yards, so 15.48 yd squared. I hope this helps :)
PLEASE HELP ME VERY EASY QUESTION I WILL MARK AS BRAINLIEST
Alice tyre pressure gauge shows a reading which is 8% lower than actual pressure
what is the actual pressure of Alices tires when the gauge shows 33.58
Answer:
30.8936
Step-by-step explanation:
Pressure guage reading is 8% lower than tbe actual pressure.
Therefore, for a tyre with guage pressure, 33.58 ;
The actual pressure of tyre would be :
Guage pressure - 8% of guage pressure
33.58 - (0.08 * 33.58)
33.58 - 2.6864
= 30.8936
Actual pressure = 30.8936
Someone please help! WILL MARK BRAINLIST!!
Answer:
c.) 7 units to the right
Step-by-step explanation:
A is 7 units away from A', B is 7 units away from B', and so on...
:)
What is the volume of a rectangular prism with a height of 1.5 feet and a base area of 4.5 square feet use the formula V=Bh
Step-by-step explanation:
you can use that same formula to answer that same question
The volume of the rectangular prism is [tex]6.75ft^{3}[/tex]
Diagram of a rectangular prism is shown in the attachment below.
Given that:
the height (h) = 1.5 ft
base area (B) = 4.5 sq ft
Volume of rectangular prism (V) [tex]= Bh[/tex]
Plug in the known values into the formula:
[tex]V = 4.5 \times 1.5\\V = 6.75 ft^{3}[/tex]
Volume of the rectangular prism is [tex]6.75ft^{3}[/tex]
Learn more about rectangular prism here:
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Answer: 240.6cm *squared*
Step-by-step explanation:
Surface Area= (2 x Area of 1st face) + (2 x Area of 2nd face) + (2 x Area of 3rd face)
= (2 x 10.5cm x 5.4 cm) + (2 x 10.5 cm x 4.0cm) + (2 x 5.4cm x 4.0cm)
= 113.4cm*squared* + 84.0cm *squared* + 43.2cm *squared*
= 240.6cm *squared*
OR
= 2 x (sum of the 3 faces)
= 2 x (56.7cm * squared* + 42.0cm *squared* + 21.6cm *squared*)
= 2 x 120.3cm *squared*
= 240.6cm *squared*
Which property of equality justifies the statement If MN + PQ = RS + PQ, then MN = RS?
Answer:
Additive Property of Equality
Step-by-step explanation:
If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.
hey! i’ll give brainliest pls help.
Answer:
Discovery of Uranus and NeptuneAnswer:
discovery of jupiter's mons which did not orbit earth
Step-by-step explanation:
Kira can type 72 words in 8 minutes.
What is her rate in words per minute?
Answer:
9
Step-by-step explanation:
No.of words in
- 8 minutes = 72
- 1 minute = 72/8
= 9
Answer:
9 words per every minute
Step-by-step explanation:
Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.
1. The area of a figure is 32 square centimeters.
Suppose the sides of the figure are doubled. What
will be the new area of the similar figure?
Answer:
128
Step-by-step explanation:
If the area of a figure is 32 square centimeters then the length/breadth could be 8cm and 4cm or 16cm and 2cm.
Let’s assume that the the sides of the figure are doubled, if that’s the case then we would arrive at 8*2 * 4*2 or 16*2 * 2*2 in which 16*8 or 32*4 which will both result to 128 as the answer.
Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference? (5 points)
A) Yes, this is a valid inference because the 30 families speak for the whole neighborhood
B) Yes, this is a valid inference because she took a random sample of the neighborhood
C) No, this is not a valid inference because she did not take a random sample of the neighborhood
D) No, this is not a valid inference because she asked only 30 families
Is 72 Inches greater less or equal to 2 yd and why
Answer:
72 is equal to 2 yards.
Explanation:
There are 36 inches in one yard.
(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)
Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.
72 and 72 are equal :)
PLEASE HELP EASY MATH!!!
PLEASE HELP ME
Describe the sequence in words:
5,9,13,17,21...
Hi, I need help please!
Jacob stood in line to pick up a souvenir postcard at the museum. All the postcards were either blue, white, or green, with a picture of a fish, insect, or bird. There was an equal number of each type of postcard. What is the probability that Jacob was randomly handed a green postcard with a fish on it?
A): 1/6
B): 1/9
C): 1/2
D): 1/3
Thanks so much, I would truly appreciate it! :)
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answer:
I’m not sure but I need this too!!
Step-by-step explanation:
How many different codes can a combination lock have if there are 4 numbers on the lock and each number can be from 0-9?
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Suprisingly, people have an intense lack of imagination when it comes to choosing codes.
please someone help me do this no bots plz
Answer: your picture is blocked btw
Step-by-step explanation: