Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
On comparison to slope intercept form
slope=m=3Perpendicular lines have slopes negative reciprocal to each other
Slope of perpendicular line=-1/3
Equation
y+5=-1/3xy=-1/3x-5What 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:
https://brainly.com/question/11613210
please help, and please don't spam this answer if not I will report u thank u very much
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*
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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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
y=1/4x-6, m=? b=?
pls help
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 .
Please help serious answers only
Answer:
[tex](-9.5,2.63)[/tex]
Step-by-step explanation:
In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.
Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.
Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,
[tex]a(x-k)^2+h[/tex]
(k, h) is the vertex of the parabola.
The quadratic equation in standard form,
[tex]2x^2+19x+42.5[/tex]
Group the quadratic and linear terms,
[tex](2x^2+19x)+42.5[/tex]
Factor out the coefficient of the quadratic term,
[tex]2(x^2+9.5x)+42.5[/tex]
Add a term to make the grouped part a perfect square trinomial, then balance the equation,
[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]
Simplify,
[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]
[tex]2(x+9.5)^2+2.625[/tex]
The vertex of the equation is the following,
[tex](-9.5,2.625)[/tex]
Rounded,
[tex](-9.5,2.63)[/tex]
answer this please I need a real answer
Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
-----------------------------------
(b)
[tex]\frac{x+2}{3}[/tex] - [tex]\frac{2}{15}[/tex] = [tex]\frac{x-2}{5}[/tex] ( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
--------------------------------------------
(c) Assuming lg means log then using the rules of logarithms
log [tex]x^{n}[/tex] ⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
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
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:
help me with math please
Answer:
b. 4ft
Step-by-step explanation:
thank you for the points, have an amazing day! :)
Answer:
C.
Step-by-step explanation:
We need to use the Pythagorean theorem to complete this problem. We are given the hypotenuse and the base of the triangle in the middle. The hypotenuse is 5 and the base is 3.[tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]a^{2}[/tex] is what we will complete.
[tex]5^{2} +3^{2} = a^{2}[/tex]
[tex]25 + 9 = 34[/tex]
[tex]34 = a^{2}[/tex]
[tex]\sqrt{34} =a[/tex]
Therefore, the answer is C.
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
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
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 HELP ME
Describe the sequence in words:
5,9,13,17,21...
Need help fast!!!!!!!!
Answer:
the arc length of minor arc AC is
[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]
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.
Pleasee help ASAP!! No links pleaseee!!!
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.
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 :)
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
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
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:
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 :)
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.
please someone help me do this no bots plz
Answer: your picture is blocked btw
Step-by-step explanation:
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
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
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...
:)
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! :)
PLEASE HELP EASY MATH!!!