Answers
Answer: B
Step-by-step explanation:
Multiply U and V:
[tex]\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}[/tex]
[tex]\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}[/tex]
[tex]\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}[/tex]
[tex]=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}[/tex]
[tex]\mathrm{Simplify\:each\:part:}[/tex]
[tex]=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}[/tex]
Therefore, the correct answer is B
Related Questions
Please solve the first three question with explanation
Answers
Answer:
first one is b, second one is c
Step-by-step explanation:
3-4x<=11
-4x<=11-3
-4x<=8/:(-4)
x>=-2
Is (8, 7) a solution of y > 4x − 6?
No, (8, 7) is not a solution of y > 4x − 6.
Yes, (8, 7) is a solution of y > 4x − 6.
Answers
Answer:
no
Step-by-step
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
4
b
=
−
6
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
4
y-intercept:
(
0
,
−
6
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for fewer steps...
To find the x-intercept(s), substitute in
0
for
y
and solve for
x
.
0
=
4
x
−
6
Solve the equation.
Tap for fewer steps...
Rewrite the equation as
4
x
−
6
=
0
.
4
x
−
6
=
0
Add
6
to both sides of the equation.
4
x
=
6
Divide each term by
4
and simplify.
Tap for fewer steps...
Divide each term in
4
x
=
6
by
4
.
4
x
4
=
6
4
Cancel the common factor of
4
.
Tap for fewer steps...
Cancel the common factor.
4
x
4
=
6
4
Divide
x
by
1
.
x
=
6
4
Cancel the common factor of
6
and
4
.
Tap for fewer steps...
Factor
2
out of
6
.
x
=
2
(
3
)
4
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
4
.
x
=
2
⋅
3
2
⋅
2
Cancel the common factor.
x
=
2
⋅
3
2
⋅
2
Rewrite the expression.
x
=
3
2
x-intercept(s) in point form.
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for fewer steps...
To find the y-intercept(s), substitute in
0
for
x
and solve for
y
.
y
=
4
(
0
)
−
6
Solve the equation.
Tap for fewer steps...
Remove parentheses.
y
=
4
(
0
)
−
6
Simplify
4
(
0
)
−
6
.
Tap for fewer steps...
Multiply
4
by
0
.
y
=
0
−
6
Subtract
6
from
0
.
y
=
−
6
y-intercept(s) in point form.
y-intercept(s):
(
0
,
−
6
)
Create a table of the
x
and
y
values.
x
y
0
−
6
3
2
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
y-intercept:
(
0
,
−
6
)
x
y
0
−
6
3
2
0
Write the product as a product of a whole number and a unit fraction
3 * 3/8
Answers
Answer:
9/8 or 1 1/8
Step-by-step explanation:
3*3/8
3/1*3/8
numerator times numerator and denominator times denominator:
3×3/1*8 = 9/8 or 1 1/8
HELP!!
what is 23x+(4-5b)
Answers
Answer:
just remove the bracket and write normally so it's 23x+4-5b
Step-by-step explanation:
if you meant something else then let me know
pieces of chalk are stacked in a pile. part of the pile is shown. the bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. each row has on less piece of chalk than the row below it. how many pieces of chalk are in the pile?
Answers
A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?
Answers
Answer: 22.44$
Step-by-step explanation:
1. 30 x 0.20 = 6
2. 30 - 6 = 24
3. 24 x 0.065 = 1.56
24 - 1.56 = 22.44$
A 2-pack of clay pots costs $9.30. What is the unit price?
Answers
Answer:
$4.75
Step-by-step explanation:
To find the unit price (price for one), just divide $9.30 by 2. You get that one clay pot (the price for one unit) is $4.75.
Hopefully this helps- let me know if you have any questions!
Need help picture below
Answers
Can you find the missing side length?
Answers
Step-by-step explanation:
you need to calculate all the sides that are given to get the other side
It seems like they have shown you how to calculate so give it a try
Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️
Answers
This value is approximate since pi = 3.14 is approximate.
=======================================================
Work Shown:
r = radius = diameter/2 = 20/2 = 10 inches
L = slant height = 40 inches
SA = surface area of the cone
[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]
The surface area of the cone is approximately 1570 square inches.
We can abbreviate "square inches" into [tex]\text{in}^2[/tex]
If you want to get a more accurate surface area value, then use more decimal digits of pi.
What is 4/3 + 2/11? Simplest form but as a fraction
Answers
Answer:
50/33 is the answer that needs to written. Yes this is the simplest form.
Answer:
50/33
Here you go
Which expressions are equivalent to 10/10^3/4?
Answers
[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]
[tex]10 {}^{ \frac{ 1}{4} } [/tex]
Answer: B and D
Step-by-step explanation:
Edge 2023
what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base
Answers
Answer :
301.44 cm³⠀
Explanation :
We know,
[tex]{ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}[/tex]
Where,
r is the radius of the cylinder. Here, the radius is 4 cmh is the height of the cylinder. Here, height is 6 cmHere, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}[/tex]
⠀
Therefore,
The volume of the cylinder is 301.44 cm³ approximately.To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height.
3.14x4^2=50.24
50.24x6=301.44
V=301.44
Hope it helps :)
if 60% of class is girls, and there are 30 students in the class. How many boys are in class?
Answers
Answer:
12
Step-by-step explanation:
60% of 30 is 18 (girls)
40% of 30 is 12 (boys)
Answer:
12 boys
Step-by-step explanation:
60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator. this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.
you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.
3.99 million - 47,000,000
Answers
Answer: -43010000.
Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.
Have a great day! :)
100 Points ! ! !
Exploiting points will be reported.
Brain deposited $9,824 into a savings account for which interest is compounded daily at a rate of 3.62%. How much interest will he earn after 8 years?
SHOW WORK AND WILL GIVE BRAINLIST
Answers
$3299.62
compounded daily interest : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex][tex]\sf 9,824.00(1 + \dfrac{3.62\%}{365})^{(365)(8)}[/tex][tex]\sf \$13,123.62[/tex]
total money he will have : $13,123.62
amount earned : $13,123.62 - $9,824 = $3299.62Answer:
Interest = $3,299.64 (nearest cent)
Step-by-step explanation:
Compound interest formula: [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]
where:
I = total interest earned over time periodP = initial principal balancer = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9,824r = 3.62% = 0.0362n = 365t = 8 yearsSubstituting given values into the formula and solving for I:
[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]
[tex]\sf \implies I=13123.62461-9824[/tex]
[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]
how do i solve this and what’s there answer?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]
If the given triangles are congruent, then their corresponding sides are equal as well ~
So, let's use this condition
[tex]\qquad \sf \dashrightarrow \:2y + 5 = 3y + 2[/tex]
[tex]\qquad \sf \dashrightarrow \:3y - 2y = 5 - 2[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3[/tex]
and
[tex]\qquad \sf \dashrightarrow \:2x + 7 = 15[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Carrie ate some of the oranges that her mother brought home from the grocery store. Of the oranges her mother brought 1/4 were left over. Shyla,Carrie's sister ate 2/5 of the oranges that were left over. What fraction of the oranges did shyla eat?
Answers
Answer:
3/5
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
We can put an actual number to this just for easier purposes
So let's say there was 100 oranges at the grocery store
Mom brought home 1/4 which is 25 oranges
100 * [tex]\frac{1}{4}[/tex] = 25
So now we have 25 oranges
Then, Shyla ate 2/5 of the oranges
So we want 2/5 of the 25 left oranges
25 * [tex]\frac{2}{5}[/tex] = 10
And 10 out of 100 is:
1/10
The easier way to do it is to just multiply the fractions together:
[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]
If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.
Answers
Answer:
The Answer Is 2200in^3
Step-by-step explanation:
I Took The Test And Got It Right
A 10-inch tire has a diameter of 10 inches. What is the circumference of these tires?
Answers
Answer:
31.4
Step-by-step explanation:
diameter (d) = 10
circumference = (3.14)d
= (3.14)10 = 31.4
circumference = 31.4
The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answers
Answer:
The number 1 is a factor of C)all whole numbers.
1 is a factor of all whole numbers.
Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)
Remember, whole numbers include odd numbers, even numbers, and 0.
note:-Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
Answers
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
[tex]m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]
Alternate method:
[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]
[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]
[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies m\angle 1 = 20\degree[/tex]
Answer:
m∠1 = 20°
Step-by-step explanation:
Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.
Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).
Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)
Sum of interior angles of a quadrilateral = 360°
⇒ x + 40° + 70° + 90° = 360°
⇒ x + 200° = 360°
⇒ x = 160°
Angles on a straight line add up to 180°
⇒ x + m∠1 = 180°
⇒ 160° + m∠1 = 180°
⇒ m∠1 = 20°
I need help on my work or I get 0 percent
Answers
Answer:
B and E
Step-by-step explanation:
E is 3/4 8 times (this is just simple multiplication) and B is 3/4 8 times just shorter. Simplified if you will.
How to be good at math???
Answers
Answer:
Step-by-step explanation:
To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.
I think the best place to start would be algebra, I’ve used it in every math class since passing, and it would actually be useful in the real world.
Khan academy is one of the best resources available, they have videos on pretty much any math topic.
You watch a video, then do a few practice problems, and if you need help with the problems there’s a button that shows you the entire problem solving process. You can review and practice as much as you need, and then at the end of each topic they have a practice quiz.
Besides that I think math homework is a great way to get better. If you make mistakes on the homework you will loose less points than if you make mistakes on the test/quiz. Also, going over your mistakes is key.
If you haven’t had any good math teachers it can be very hard to learn these topics, but take it at your own pace.
With math you have to understand before you move on, or else it’s like trying to read words without knowing the alphabet.
Keep practicing, you can do it!
Jackie wants to meet up with her friend who lives 3 miles away and bring him the cookies she baked. she and her friend start moving toward each other at the same time. Jackie's walking speed is 3mph, and her friend's biking speed is 12mph. 4 minutes after Jackie left the house, her mom notices that she forgot the cookies on the kitchen table. She sends Jackie's brother to bring them to Jackie. How fast should Jackie's brother travel to catch up with Jackie before she meets her friend?
Answers
Answer:
First, find the time when Jackie and her friend meet.
Using:
[tex]\sf s=ut+\dfrac12at^2[/tex]
where:
s = displacementu = initial velocitya = accelerationt = time (in hours)Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:
[tex]\sf s=ut[/tex]
Create equations
Jackie: [tex]\sf s_1= 3t[/tex]
Friend: [tex]\sf s_2 = 12t[/tex]
As the distance covered by Jackie and her friend at the time they meet equals 3 miles:
[tex]\sf s_1+s_2=3 \ miles[/tex]
[tex]\sf \implies 3t + 12t = 3[/tex]
[tex]\sf \implies 15t = 3[/tex]
[tex]\sf \implies t = 0.2 \ hr[/tex]
[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]
Therefore, they meet 12 mins after they both start moving.
3 mph = 3 ÷ 60 = 0.05 miles per min
12 mph = 12 ÷ 60 = 0.2 miles per min
Therefore,
Jackie traveled: 0.05 x 12 = 0.6 miles
Her friend traveled: 0.2 x 12 = 2.4 miles
when they meet.
To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):
[tex]\sf s=ut[/tex]
[tex]\sf \implies u = \dfrac{s}{t}[/tex]
[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]
[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]
[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]
So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.
(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend. If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).
In drawing a circle,what instrument is used to ensure that its radius is 6 cm?
Answers
Answer:
That would be a compass.
Step-by-step explanation:
This allows you to draw circles with great accuracy.
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answers
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
Help picture below problem 14
Answers
Answer:
c is the answer
DO MARK BRAINLIEST
What is 1/3 of 9/5 cookies?
Answers
Answer:
9/15 (0.6)
Step-by-step explanation:
(9/5) x(1/3)= 9/15
Answer:
32\15
Step-by-step explanation
>> The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
Which model represents the situation?
10
d
d
d
19
.) What is the price of one drink?
d
?
Answers
Answer:
d = 3
Step-by-step explanation:
According the figure:
10 + d + d + d = 19d = 3Answer Check Below:
⇒ 10 + 3 = 13
⇒ 13 + 3 = 16
⇒ 16 + 3 = 19
Therefore, d = 3.Answer:
$3
Step-by-step explanation:
⇒ 10 + 3d = 19 is represented by the figure⇒ 3d = 9⇒ d = 3The price of one drink is $3