Answer:
7
Step-by-step explanation:
1.39 rounds to 1
6.76 rounds to 7
1 x 7=7
Answer:
1,7,7
Step-by-step explanation:
Find all missing angles
Answer:
m1=30
m2=41
m3=96
Step-by-step explanation:
m1=180-66-84
m2=180-96-43
m3=180-84
Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -4,6), and T(e 3 ) =(2, -6), where e 1, e2 , and e 3 are the columns of the 3 x 3 identity matrix. A= (Type an integer or decimal for each matrix element.)
Answer:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]T:R^3->R^2[/tex]
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
Required
Find the standard matrix
The standard matrix (A) is given by
[tex]Ax = T(x)[/tex]
Where
[tex]T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
[tex]Ax = T(x)[/tex] becomes
[tex]Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
The x on both sides cancel out; and, we're left with:
[tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
Recall that:
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
In matrix:
[tex](a,b)[/tex] is represented as: [tex]\left[\begin{array}{c}a\\b\end{array}\right][/tex]
So:
[tex]T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right][/tex]
[tex]T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right][/tex]
[tex]T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right][/tex]
Substitute the above expressions in [tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Hence, the standard of the matrix A is:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3
[?]*10
Answer:
Step-by-step explanation:
6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3
Answer:-7.137 x 10^-3
Step-by-step explanation:
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place
Answer: V = 311.0
Step-by-step explanation:
Formula: [tex]V = \pi r^2h[/tex]
[tex]V=\pi (3)^2 (11)[/tex]
[tex]V=99\pi[/tex]
V = 311.02
V = 311.0
Find the area of the figure. Use 3.14 for π.
Answer:
196.48m²
Step-by-step explanation:
AREA OF THE PICTURE = AREA OF TRIANGLE + AREA OF SEMI CIRCLE
Length of base of the triangle = 16m
Length of perpendicular height of triangle = 12m
Area of triangle = [tex]\frac{1}{2} *16*12 = 96m^{2}[/tex]
Length of diameter of semi-circle = 16m
Length of radius of semi-circle = [tex]\frac{16}{2} =8m[/tex]
Area of semi circle = [tex]\frac{\pi 8^{2}}{2} = \frac{64 * 3.14}{2} =\frac{200.96}{2} =100.48m^{2}[/tex]
AREA OF THE FIGURE = 100.48 + 96 = 196.48m²
Find the value of this expression if x = 5 and
y = 2.
xy^2/-3
Answer:
The value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{xy^2}{-3}[/tex]
Apply the fraction rule: a/-b = -a/b
[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]
substituting x = 5, y = 2 in the expression
[tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]
[tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]
[tex]=-\frac{20}{3}[/tex]
Therefore, the value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]2y – 12x = -14 please help
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula, known as Boyle’s law
where P1 and V1 are the pressure (in atm) and the volume (in litres) at the beginning, and P2 and V2 are the pressure and the volume at the end. Find the final pressure P2 if V1 = 1.5 litres, P1 = 4.5 atm and V2 = 3.5 litres. Round to the nearest tenth of a atm.
Answer: Approximately 1.9 atm
============================================
Work Shown:
[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]
If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.
Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.
-----------
As a check,
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]
We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.
A more accurate check could be
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]
which has the two sides much closer to one another. This helps us verify the answer.
Using 3.14 for π, calculate the circumference and area of the circle below. Include your answer to the hundredths place.
Circumference:
feet and the area ft squared:
If you don't know the answer please don't respond need ASAP
Answer:
37.68
Step-by-step explanation:
ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you
Answer:
4
Step-by-step explanation:
all you have to do is divide 12 by 3
Answer:
4 if ur doing division or 3 over 12
Step-by-step explanation:
Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)
Answer:
3 - 30+15
Step-by-step explanation:
take the outside number and multiply it by each individual number in the parenthesis one at a time
A tax deduction helps lower one's taxes, bit how does it do it?
A) a tax deduction increases one's income
b) a tax deduction lowers one's taxable income aking less tax due
c) a tax deduction lowers the percentage of sales tax for those with lower income
d) a tax deduction lowers the percentage of sales tax for those with lower income
Answer is B because I learned it in school
16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
Answer:
The radius of the circle is 7.5 cm
Step-by-step explanation:
Circles and Lines
The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.
We have attached an image with some additional measures to solve the problem.
Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.
The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:
[tex]r=\sqrt{6^2+4.5^2}[/tex]
[tex]r=\sqrt{36+20.25}[/tex]
[tex]r=\sqrt{56.25}[/tex]
[tex]\boxed{r = 7.5\ cm}[/tex]
The radius of the circle is 7.5 cm
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
what is 2000555.3053 time 50464.4023
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which of the following expressions shows the area, in square inches, of the circle?
(TT = 3.14)
O 3.3.14 - 22
O 3.14.32
03.14 22
03.14.3
Answer:
Step-by-step explanation:
the area of the circle A= 3.14*r^2
diameter is 6, radius is 6/2=3
it is choice 2
A=3.14*3^2
These points are linear. Find the slope.
Answer:
Slope = 3/2
Step-by-step explanation:
The slope of an equation is rise/run, or y/x.
Since the graph indicates that y rises by 3 and x rises by 2, the slope would be 3/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 3) and (4, 6).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{6-3}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
I need helppppp please someone help
Answer:
I think it 50+ 0.35m and then for part b 50+0.35m 0.35×80+50= $78
Step-by-step explanation:
0.35×80=28+50=78
PLEASE HELP ME I need the answer asap cause my grade is low and this determines my final.
Answer:
i cant see the graph zoom in
Step-by-step explanation:
Answer:
I'm sure it's 2/3
Step-by-step explanation:
the slope is positive and it rises up 2 and over 3
Which of the following was included in the “Declaration of the People”?
Texians wanted the Constitution of 1824 reestablished.
Texians wanted George Washington to be president instead of Santa Anna.
Texians considered themselves independent from Mexico,
The people of Texas want more restaurants.
Answer:
C
Step-by-step explanation:
Texas was not around during George Washington so that cant be correct
Texas was not around during the constitution of 1824
Texas did not want more restaurants lol
So Texans considered themselves independent from Mexico is correct
Answer:
Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves independent from Mexico is correct
took it on edge 2020 and got it write with this
Which statement best describes a unit rate?
1. John drove 350 miles in 5 hours
2. John drove 10 miles
3. John drove a car and a motorcycle
4. John drove 25 miles in 1 hour
Answer:
4. John drove 25 miles in 1 hour
Step-by-step explanation:
The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.
The statement which best describes a unit rate is John drove 25 miles in 1 hour .
What is unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
According to the question
Best describes a unit rate is that which have second term as 1 unit
So,
Only John drove 25 miles in 1 hour satisfy the condition ,
Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .
To know more about unit rate here:
https://brainly.com/question/11258929
#SPJ2
2xsquared . 6 =
What does 2xsquared times 6 equal?
Answer:
24x
Step-by-step explanation:
HELP!!! ASAP MARKING BRAINLIEST!!!
Answer:
it's the first one. I hope you get a good grade
Use GCF to factor
40x+24y-56
Answer:
8(5x+3y-7)
Step-by-step explanation:
I just learned this like 2 months ago lolll
In quadrants 1 and 3 the x-coordinate of a point is positive?
no because one is negative and the other is positive so no it didn't
ABCE is a parallelogram . determine the meaSure of
Answer:
D. 78°
Step-by-step explanation:
ABCD is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
Therefore,
[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]
Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8
What do you think about this. Please I need help
Answer:
D
Step-by-step explanation:
Since its talking about INCREASING your numerators (The top of the fraction) would need to be adding up
Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.
Answer:
0.25
Step-by-step explanation:
3 white counters and 1 black counter,
3+1 = 4
the chances of you choosing the black counter is 1/4
1/4 can also be written as 0.25.
Answer:
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.
Step-by-step explanation:
Probability is the likeliness of occurrence of an event.
Given
There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements
n(S) = 4
Let B be the event that the drawn out counter is black. As there is only one black counter
n(B) = 1
The probability of choosing a black counter is:
[tex]P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25[/tex]
Hence,
The probability of choosing a black counter is 0.25.
Also the picture is attached for the mark on scale.