Answer:
- 864
Step-by-step explanation:
In the case of a 2 × 2 matrix the determinant may be defined as:
|A| = [tex]\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right][/tex]= ad-bc
Given in the question a matrix
[tex]\left[\begin{array}{cc}-30&-6\\6&30\\\end{array}\right][/tex]
(-30)(30) - (-6)(6)
-900 + 36
- 864
Answer:
Option A: -30
For Odyssey
**If you are on the pre-test then you might wanna take your time because they can suspect if you are cheating**
In the picture below, what is the approximate area that is shaded blue?
A.
38 in2
B.
77 in2
C.
79 in2
D.
157 in2
Answer:
it is not C i did that so it might be B
Step-by-step explanation:
The approximate area that is shaded blue 77 in².
What area is a circle?A circle's area is equal to pi times the radius squared (A = r2).The following formulas can be used to determine a circle's area: Area is equal to r2, where r stands for radius.What is area of rectangle?When calculating the area of a rectangle, we multiply its length by its breadth.A = lw, where l and w are the length and width of the rectangle (rectangle)
In this question we simply calculate area of circle where r=5 , and area of rectangle l = 2 and b = 1.
Area of circle = πr²
= [tex]\frac{22 *5*5}{7}[/tex] = 78.57
Area of rectangle = l * b
2 * 1 = 2
Then simply subtract area of rectangle to area of circle .
Area of shaded blue = 78.57 - 2
= 76.57 ⇒ 77 in²
Therefore, The approximate area that is shaded blue 77 in².
Learn more about Area brainly.com/question/12187609
#SPJ2
Find the surface area of the cone. Round your answer to the nearest hundredth
Basically you do
2 x 3.14 x 8 squared
= 401.92
Then you do
401.92 + 14 x 8
=513.93
Hope this helps :)
Answer:
The correct answer is option option B 606.32 yd²
Step-by-step explanation:
Points to remember
Surface area of cone = πrl + πr²
Where r is the base radius and l is the lateral edge
To find lateral edge
l = √(r²+ h²) = √8² + 14² = 16.12
To find the surface area of given cone
Here r = 8 yd and l = 16.12 yd
Surface area = πrl + π r² = π * 8 * 16.12 + π8²
= 606.32 yd²
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y=3/7x+ 7
Answer:
y=3/7x
Step-by-step explanation:
Parallel means same slope.
y-y1=m(x-x1)
y-0=3/7(x-0)
y=3/7(x)+0
y=3/7x
Answer: The answer is y=3/7x
Can someone please help me on this
Answer: no
Step-by-step explanation:
Because of the angles
Find the equation of the line that is perpendicular to the line 4x + 2y = 1 and passes through the point (−4, 3).
Answer:
[tex]\large\boxed{y=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 4x+2y=1.\ \text{Convert to the slope-intercept form y = mx + b:}\\\\4x+2y=1\qquad\text{subtract 4x from both sides}\\\\2y=-4x+1\qquad\text{divide both sides by 2}\\\\y=-2x+\dfrac{1}{2}\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{2}x+b.\\\\\text{The line passes through }(-4,\ 3).[/tex]
[tex]\text{Put the coordinates of the point to the equation.}\ x=-4,\ y=3:\\\\3=\dfrac{1}{2}(-4)+b\\\\3=-2+b\qquad\text{add 2 to both sides}\\\\b=5[/tex]
The midpoint of MN is point P at (–4, 6). If point M is at (8, –2), what are the coordinates of point N? (–16, 14) (–10, 5) (2, 2) (6, 2)
Answer is
(-16 , 14)
Answer:
-16, 14
Step-by-step explanation:
For what value of x does 3^4x=27^x-3? a. –9 b. –3 c. 3 d. 9
[tex]\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9[/tex]
6g-3g+8g-g simplify
Answer:
Step-by-step explanation:
Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh
Patty's Printing= 21.5x
Sandra's Shirts = 63+ 18x
x=30
Patty's Printing: 21.50 (30) = 645
Sandra's Shirts = 63+ 18 (30) = 603
Sandra's Shirts
On centimeter dot paper, draw all possible rectangles with a perimeter of 12 cm and sides whose lengths are whole numbers. Label the lengths of two adjacent sides of each rectangle.
Answer nica me ayudan a mi pliss...oh mana nose
Step-by-step explanation:
what is the area of a circle with radius 10 units
Answer is provided in the image attached.
Solve -t/5 > 15 A. t < -75 B. t > -75 C. t < -3 D. t > -3
For this case we must solve the following inequality:
[tex]- \frac {t} {5}> 15[/tex]
We follow the steps below:
We multiply by 5 on both sides of the inequality:
[tex]-t> 15 * 5\\-t> 75[/tex]
We multiply by -1 on both sides of the inequality. We must bear in mind, that when multiplying by -1, the sense of the inequality changes.
[tex]t <-75[/tex]
Answer:
Option A
If Paul spins the spinner 1000 times, approximately how many times will it land on green?
A: 33
B: 25
C: 333
D: 250
Answer:
333
Step-by-step explanation:
divide the number of times the spinner is spun by how many sections there are the answer is 333
Answer:
333
Step-by-step explanation:
divide the number of times the spinner is spun by how many sections there are the answer is 333
hope this helps mark me brainliest
Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?
Answer:
3/28
Step-by-step explanation:
Given in the question that,
stack of cards have numbers (1, 1, 2, 2, 3, 3, 3, 4)
Total number of cards = 8
Number of card with 3 on them = 3
Number of card with 2 on them = 2
To find the probability that he pulls out a 3 first and then pulls out a 2, we will multiple the probability of having 3 with 2.
Probability of having 3 = 3/8
Probability of having 2 = 2/7 (without replacing)
3/8 x 2/7 = 3/28
Thus, the answer is 3/28
Answer:3/28
Step-by-step explanation:
Took test got it right
Liam bought 1 gallon of juice at the grocery how many quarts of juice did he buy?
Answer:
4 quarts
Step-by-step explanation:
The area of a circle is 81pie square feet. What is the length of the radius? What is the length of the diameter? Please show steps!
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=81\pi \end{cases}\implies 81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies \boxed{9=r}~\hspace{10em}\stackrel{\textit{diameter = twice the radius}}{18}[/tex]
[tex]
A=81\pi \\
A=\pi r^2 \\
81\pi=\pi r^2\Longrightarrow r^2=81
radius=\sqrt{81}=\boxed{9} \\
diameter=2radius = 2\cdot9=\boxed{18}
[/tex]
You roll a number cube numbered from 1 to 6. What is the probability that the number is a composite number?
For the six numbers in the cube, we have.
1 is not prime nor composite2 is prime3 is prime4 is composite, because it can be written as [tex]2\cdot 2[/tex]5 is prime6 is composite, because it can be writte as [tex]2\cdot 3[/tex]So, only two of the numbers in the cube are composite. This means that you have a chance of
[tex]\dfrac{2}{6}=\dfrac{1}{3}[/tex] of rolling one of them.
Which equation can be used to determine Kim’s age, x, from the information about Bob and Paul?
Answer:
where is the information about bob and paul?
Step-by-step explanation:
Answer:
2x + 4 = 3x + (–1)
Step-by-step explanation:
I just did it so i hope this helped
pllllllzzz help me look at the picture
Answer:
the correct option is option c.
Step-by-step explanation:
We have the expression: (160*243)^1/5
First, we know that 160 = 5(2^5)
And, 243 = 3^5
Then we have: (160*243)^1/5 = [5(2^5)(3^5)]^1/5 = 6(5)^1/5
So the correct option is option c.
Josh is having issues with his over-the-range microwave, and must decide to either have it repaired or replaced. After doing some research, he's determined that if he has to spend $200 or more on repairs, the better decision would be to replace the microwave. The appliance repair company will repair his microwave for a service call fee of $89, a parts fee of $41, and a charge of $17.50 for every 15 minutes of labor. If x represents the number of 15-minute intervals of labor, which inequality represents the number of allowable 15-minute intervals before replacing the microwave becomes the better decision? Assume that Josh won't be charged for a 15-minute interval until the full 15 minutes of labor is used.
Answer:
the inequality would be: 89+41+17.50x Is less than 200
Step-by-step explanation:
add all of the numbers together and the x with the 17.50. Add a less than inequality sign, then 200, which represents how much it would be for repairs
Answer:
[tex]130+17.50x \leq 200[/tex]
Step-by-step explanation:
The appliance repair company will repair his microwave for a service call fee of $89, a parts fee of $41, and a charge of $17.50 for every 15 minutes of labor.
If Josh spends $200 or more on repairs, he will replace the microwave.
Let x represents the number of 15-minute intervals of labor.
So, as per the scenario, the inequality becomes:
[tex]89+41+17.50x \leq 200[/tex]
=> [tex]130+17.50x \leq 200[/tex]
Solving for x
[tex]17.50x \leq 200-130[/tex]
[tex]17.50x \leq 70[/tex]
[tex]x \leq 4[/tex]
Hence, up to 4, 15 minutes interval that is one hour. the repair cost will be up to $200.
But after this it will cost more. Hence, Josh can opt for replacing after 4, 15 minutes intervals.
if anyone could help out with this one i would really appreciate it
f(2)=?
Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
5y(2x-1)=y(x+2)+20, x=3
Answer:
y=1
Step-by-step explanation:
5y(2x-1)=y(x+2)+20, x=3
5y(2(3)-1)=y(3+2)+20
5y(6-1)=y(5)+20
5y(5)=5y+20
25y=5y+20
25y-5y=20
20y=20
y=20/20
y=1
5y(2x-1)=y(x+2)+20, x=3
Step 1: Substitute x with 3
5y(2(3) - 1) = y(3 + 2) + 20
Step 2: Combine like terms in the parentheses
5y(6 - 1) = y(3 + 2) + 20
5y(5) = y(3 + 2) + 20
5y(5) = y(5) + 20
Step 2: Distribute the number outside the parentheses to the numbers inside the parentheses
25y = 5y + 20
Step 3: Combine like terms by subtracting 5y to both sides
25y-5y = (5y-5y) + 20
20y = 20
Step 4: Divide 20 to both sides to isolate y
[tex]\frac{20y}{20} = \frac{20}{20}[/tex]
y = 1
Check:
5(1) (2(3) - 1) = 1(3+2) + 20
5(6-1) = 1(5) + 20
5(5) = 5 + 20
25 = 25
Hope this helped!
You buy two ads in a newspaper. One ad takes up
5
8
58
of a page, and the other ad takes up
1
8
18
of a page. How much space did you buy for ads?
The total space bought for the two ads in the newspaper is 3/4 of a page. This is determined by adding the fractions representing the size of each ad together: 5/8 + 1/8 = 6/8, which simplifies to 3/4.
Explanation:You are dealing with fractions in this mathematics problem. If you bought two ads, one taking 5/8 of a page and the other taking 1/8 of a page, you need to add these fractions together to find out how much space you bought for ads overall.
Adding the fractions 5/8 and 1/8 would give you:
5/8 + 1/8 = 6/8
The fraction 6/8 can be simplified further by dividing both numbers by their greatest common divisor (which is 2), resulting in:
6/8 = 3/4
Therefore, the ads took up 3/4 of a page in total.
Learn more about Adding Fractions here:https://brainly.com/question/14503941
#SPJ3
you bought a total of 3/4 of a page for ads.
To calculate the total space bought for ads in a newspaper, simply add the proportions of the page that each ad takes up. The first ad covers 5/8 of a page, while the second ad occupies 1/8 of a page. Adding these together:
5/8 + 1/8 of a page
This can be calculated by adding the numerators and keeping the denominator the same since both fractions have the same denominator.
Add the numerators: 5 + 1 = 6
Keep the denominator the same: 8
Combine them to get the new fraction: 6/8 of a page
However, notice that 6/8 can be simplified to 3/4, because both the numerator and the denominator can be divided by 2.
Therefore, you bought a total of 3/4 of a page for ads.
the volume of the Box 4 inches wide 2 inches high and 5 in long is
Answer:
Volume = 40in^3
Step-by-step explanation:
The volume of a box is:
Volume = width x lenght x height
Where:
width: 4in
Length: 5in
Height = 2in
Then: Volume = width x lenght x height = 4in x 5in x 2in = 40in^3
ANSWER
The volume is 40 cubic inches.
EXPLANATION
The dimensions of the box are ,
width, w=4 inches
height, h=2 inches
and
length, l=5 inches
The box is a rectangular prism.
The formula for finding the volume of a rectangular prism is
[tex]V=l \times b \times h[/tex]
We substitute the values to get,
[tex]V=4\times 5 \times 2 = 40 {in}^{3} [/tex]
A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 /14 inches. What should its enlarged height be, in inches?
Answer:
33/56 inches
Step-by-step explanation:
2.75(3/14)=33/56
Answer:
[tex] 8\frac { 1 5 } { 1 6 } [/tex] inches or 8.94 inches
Step-by-step explanation:
We know that the current height of the photo is [tex]3\frac{1}{4}[/tex] inches and the customer wants it to be enlarged by a factor of [tex]2\frac{3}{4}[/tex] its current height.
[tex] 3\frac { 1 } { 4 } = 3.25 [/tex]
[tex] 2 \frac { 3 } { 4 } = 2.75 [/tex]
Multiplying this scale factor with the current height of photo to find the enlarged height.
Enlarged height = [tex]3.25 \times 2.75 = 8\frac{15}{16}[/tex] inches or 8.94 inches
What is the probability of tossing a coin 3 times and getting tails each time?
Answer:
Step-by-step explanation:1/3
Is the correct answer
Hello! :)
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Hope I helped and answered in time!
Good luck!
~ Destiny ^_^
What is the mode of 4, 7, 7, 7, 4, 6, 6, 6, 7?
Answer: 7
Step-by-step explanation:
mode is the most replicated number
Answer:
The mode is 7.. :)
Step-by-step explanation:
if f(x) = 4 x^2 and g(x) = x+1, find (f•g)(x)
Answer:
D assuming the black dot means multiplied
Step-by-step explanation:
What is the answer of number 14?
Answer:
36
Step-by-step explanation:
Answer:36
Step-by-step explanation:
About what percent of the village women took between 48 and 56 minutes to collect one container of water
Answer:
50%
Step-by-step explanation
Each quartile of a box plot contains 25% of the data.
45-48 minutes is 25%
48-53 minutes is 25%
53-56 minutes is 25%
56-64 minutes is 25%
The questions asks for the percentage from 48-56.
48-53 is 25% and 53-56 is 25%. If you add 25% + 25%, you get 50%
Therefore, the percentage of village women who took 48-56 minutes to collect one container of water if 50%.
Hope this helps!
Which is equivalent to √60n^11/256n^4 after it has been simplified completely? Assume n =0
Answer:
[tex]\large\boxed{\dfrac{n^3}{8}\sqrt{15n}}[/tex]
Step-by-step explanation:
[tex]\sqrt{\dfrac{60n^{11}}{256n^4}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\ \text{and}\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\=\sqrt{\dfrac{60}{256}n^{11-4}}=\dfrac{\sqrt{60n^7}}{\sqrt{256}}=\dfrac{\sqrt{4n^{6+1}\cdot15}}{16}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{\sqrt{4n^6\cdot15n}}{16}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\dfrac{\sqrt{4n^{3\cdot2}}\cdot\sqrt{15n}}{16}\qquad\text{use}\ (a^n)^m=a^{nm}[/tex]
[tex]=\dfrac{\sqrt{4(n^3)^2}\cdot\sqrt{15n}}{16}=\dfrac{\sqrt{4}\cdot\sqrt{(n^3)^2}\cdot\sqrt{15n}}{16}=\dfrac{2\!\!\!\!\diagup^1\sqrt{15n}}{16\!\!\!\!\!\diagup_8}=\dfrac{n^3\sqrt{15n}}{8}[/tex]