it is 4km from Martina house to the nearest mailbox. how far is it in meters?
Answer:
4,000
Step-by-step explanation:
1 kilo = 1,000 meters.
What is the value of 4² - 2(3·5+1)? plz help, will mark brainliest A. 8 B. 1 C. -16 D. -21
Answer:
Hey there!
4^2-2(3(5)+1)
16-2(15+1)
16-2(16)
-16
C is correct.
Let me know if this helps :)
Answer:
[tex] \boxed{ \mathsf{ \boxed{ \purple{ \bold{{ - 16}}}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{ {4}^{2} - 2(3 \times 5 + 1)}[/tex]
Evaluate the power
⇒[tex] \mathsf{16 - 2(3 \times 5 + 1)}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 2(15 + 1)}[/tex]
Calculate the sum
⇒[tex] \mathsf{16 - 2 \times 16}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 32}[/tex]
Calculate
⇒[tex] \mathsf{ - 16}[/tex]
Hope I helped!
Best regards!
Solve : 3X + 3x + 1 + 3x + 2 = 39
Step-by-step explanation:
[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]
Answer:
x = 4
Step-by-step explanation:
combine all of the 3x first to get:
9x + 1 + 2 = 39
9x + 3 = 39
subtract 3 from both sides:
9x = 36
divide by 9
x = 4
If the equation of a line is y = -2/3x + 1/3, what is the slope and y-intercept?
Step-by-step explanation:
Hey, there!!!
Let me explain you very simply,
The equation is;
y= -2/3 x +1/3
Now, we know the equation of a st.line in slope intercept form is,
y= m.x + c
now, comparing the given equation with y= m.x + c. we get,
m= -2/3
and y-intercept = 1/3.
Hope it helps...
who is going to win the race?
Answer:
The correct answer is
Step-by-step explanation:
Red team is going to win the race as they have covered more area than other teams. I am a 100% sure of this answer.Hope this helps....Have a nice day!!!!Answer:
Red Team
Step-by-step explanation:
ABCD is a quadrilateral, P Q R and S divide AB, CB, CD and AD in ratio 1:3 respectively. Prove that a//m. (Please hurry up, I will mark you as Brainliest)
Two lines are parallel if they are equidistant from one another. The following proves [tex]a || m[/tex]
[tex]Ratio = 1:3[/tex] means that:
[tex]BP=3PA[/tex]
[tex]BQ=3QC[/tex]
To prove that [tex]a || m[/tex] is to prove that side length SR and side length PQ are parallel because:
[tex]SR = a\\ PQ = m[/tex] --------- See attachment for quadrilateral
Considering [tex]\triangle ABC[/tex], we have: [tex]BP=3PA[/tex]
Divide both sides by PA
[tex]\frac{BP}{PA} = \frac{3PA}{PA}[/tex]
[tex]\frac{BP}{PA} = 3[/tex]
Similarly: [tex]BQ=3QC[/tex]
Divide both sides by QC
[tex]\frac{BQ}{QC} = \frac{3BQ}{QC}[/tex]
[tex]\frac{BQ}{QC} = 3[/tex]
So, we have:
[tex]\frac{BP}{PA} = \frac{BQ}{QC} = 3[/tex]
Express as ratios
[tex]BP:PA = BQ:QC = 3[/tex]
[tex]BP:PA \to[/tex] means point P divided side length BA into 3:1
[tex]BQ:QC \to[/tex] means point Q divided side length BC into 3:1
Thales Theorem states that: A line that divides any two sides of a triangle in the same ratio is parallel to the third side.
The third side of [tex]\triangle ABC[/tex] is [tex]AC[/tex].
This means that: [tex]PQ[/tex] is parallel to [tex]AC[/tex]
Since [tex]AC[/tex] is parallel to [tex]SR[/tex], then [tex]PQ[/tex] is parallel to [tex]SR[/tex]
i.e. [tex]SR || PQ[/tex]
Recall that:
[tex]SR = a\\ PQ = m[/tex]
Hence:
[tex]a || m[/tex] has been proved.
Read more about proof of parallel sides at:
https://brainly.com/question/2510808
2. Give an example of a rational number that is not a whole number.
This are a few of Rational numbers are not whole numbers: 8,−3,32,7−5.
Step-by-step explanation: Hope this helps
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year
Answer:
# 28750
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 250000 * 11.5/100 = 28750
If a population grows 3.5% per year, how much does it grow per decade? A. 35% B. 41.1% C. 38% D. 27.6%
Answer: 35%
Step-by-step explanation: It grows 3.5% every year. A decade is 10 years. 10 x 3.5% = 35% because you move the decimal one point to the right.
The population grows 41.1% per decade. Therefore, option B is the correct answer.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.
Given that, a population grows 3.5% per year.
Now, D(n)=P(1+R/100)ⁿ
Let P=1
So, D(1)=1(1+0.035)¹
D(1)=1.035
Similarly per 10 years with the same rate
D(10)=1(1+0.035)¹⁰
= (1.035)¹⁰
= 1.41059
= 1.411-1 (Initial population is 1)
= 0.411
= 0.411×100
= 41.1%
The population grows 41.1% per decade. Therefore, option B is the correct answer.
To learn more about the population increase and decrease visit:
https://brainly.com/question/27779235.
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Add or subtract. Write your answer in scientific notation.
4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5
3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8
8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3
Answer:
1. 38.3 x 10^5
2. 6.67 x 10^9
3. 4.48 x 10^4
Step-by-step explanation:
4.2 X 10 ^6 - 1.2 X 10^5 - 2.5 x 10^5
For the above question, we need to make the exponents equal
=> 42 x 10^5 - 1.2 x 10^5 - 2.5 x 10^5
SInce, all the exponents are equal, we can now add and subtract the normally.
=> (42 - 1.2 -2.5) x 10^5
=> (42 - 3.7) x 10^5
=> 38.3 x 10^5
So, the answer to the 1st question is 38.3 x 10^5
Next question:
=> 3.3 x 10^9 + 2.6 x 10^9 +7.7 x 10^8
=> we need to make the exponents equal
=> 3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9
=> All the exponents are equal, we can now add and subtract the normally.
=> (3.3 + 2.6 + .77) x 10^9
=> 6.67 x 10^9
=> So the answer to the 2nd question is 6.67 x 10^9
Next question,
=> 8 X 10^4 - 3.4 x 10^4 - 1.2 x 10^3
=> we need to make the exponents equal
=> 8 x 10^4 - 3.4 x 10^4 - .12 x 10^4
=> All the exponents are equal, we can now add and subtract the normally.
=> (8 - 3.4 - .12) x 10^4
=> 4.48 x 10^4
=> So the answer to the 3rd question is 4.48 x 10^4
The solutions to the expressions are:
[tex]4.2 \times 10^6 - 1.2 \times 10^5 - 2.5 \times 10^5[/tex]=[tex]38.3\times 10^5[/tex]
[tex]3.3 \times 10^9 + 2.6 \times 10^9 + 7.7 \times 10^8[/tex] = [tex]6.67\times 10^9[/tex]
[tex]8.0 \times 10^4 -3.4 \times 10^4 - 1.2 \times 10^3[/tex] = [tex]4.48 \times 10^4[/tex]
[tex]4.2 \times 10^6 - 1.2 \times 10^5 - 2.5 \times 10^5[/tex]
Combine like terms:
[tex]4.2 \times 10^6 - (1.2+2.5) \times 10^5[/tex]
[tex]4.2 \times 10^6 - 3.7 \times 10^5[/tex]
[tex]42 \times 10^5 - 3.7 \times 10^5[/tex]
[tex](42-3.7)\times 10^5[/tex]
[tex]38.3\times 10^5[/tex]
[tex]3.3 \times 10^9 + 2.6 \times 10^9 + 7.7 \times 10^8[/tex]
Convert all terms with same power:
[tex]3.3 \times 10^9 + 2.6 \times 10^9 + 0.77 \times 10^9[/tex]
[tex](3.3+2.6+0.77) \times 10^9[/tex]
[tex]6.67\times 10^9[/tex]
[tex]8.0 \times 10^4 -3.4 \times 10^4 - 1.2 \times 10^3[/tex]
[tex]8.0 \times 10^4 - 3.4 \times 10^4 - 0.12 \times 10^4[/tex]
[tex](8.0-3.4-0.12) \times 10^4[/tex]
[tex]4.48 \times 10^4[/tex]
To learn more on Number system click:
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A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, with replacement, from the basket?
Answer:
144/441
Step-by-step explanation:
There are 18+24=42 total socks
There are 24 black socks
So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441
Answer:
189
Step-by-step explanation:
Convert 1 3/4 into a improper fraction.
Answer:
the answer must be 7/4 because
Step-by-step explanation:
1 3/4 4×1+3=7
sorry for the really bad quality!!
Answer:
B
Step-by-step explanation:
f(x) = x+5 when x>0. f(5)=10
The average age of cars owned by residents of a small city is 6 years with a standard deviation of 2.2 years. A simple random sample of 400 cars is to be selected, and the sample mean age of these cars is to be computed. We know the random variable has approximately a normal distribution because of
Answer:
The random variable [tex]\bar x[/tex] has approximately a normal distribution because of the central limit theorem.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n ≥ 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
Let the random variable X be defined as the age of cars owned by residents of a small city.
It is provided that:
μ = 6 years
σ = 2.2 years
n = 400
As the sample selected is too large, i.e. n = 400 > 30, according to the central limit theorem the sampling distribution of the sample mean ([tex]\bar x[/tex]) will be approximately normally distributed.
There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)
Answer: Please Give Brainliest. Thank You!
10 more
The number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.
Let the number of seventh-graders to be added be x.
So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x
Thus, the percentage of seventh graders in the club is thus
[tex]\frac{20 + x}{65 + x} X 100[/tex] %
Since this percentage equals 40 %, we have that
[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %
[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]
Cross-multiplying we have
[tex]20 + x = 0.4(65 + x)[/tex]
Expanding the bracket, we have
[tex]20 + x = 26 + 0.4x[/tex]
Subtracting 20 from both sides we have
[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]
Subtracting 0.4x from both sides, we have
[tex]x - 0.4x = 6\\0.6x = 6[/tex]
dividing both sides by 0.6, we have
x = 6/0.6
x = 10
So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Learn more about percentages here:
https://brainly.com/question/23127071
52°
Х
X
tycoom whoever helps with thos
Answer:
142
Step-by-step explanation:
The exterior angle of a triangle is equal to sum of the opposite interior angles
x = 52+90
x = 142
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 52 \degree \: + \: 90 \degree }}} \\ [/tex]
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 142 \degree }}} \\ [/tex]
what is the value of the angle ?
Answer:
47°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
124° is an exterior angle , thus
77 + ? = 124 ( subtract 77 from both sides )
? = 47°
Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4
Answer:
Step-by-step explanation:
[tex]9^{-4}[/tex]
=[tex]\frac{1}{9^{4} }[/tex] ∴ [tex]x^{-n} = \frac{1}{x^{n} }[/tex]
=[tex]\frac{1}{9*9*9*9}[/tex]
=[tex]\frac{1}{6561}[/tex]
ASAP how many solutions are there for the system of equations shown on the graph?
Answer: Infinitely many solutions
Step-by-step explanation:
The lines is on top of each other so this makes it many solution.
It can't be NO solution because the lines are not parallel to each, which means they will not intersect.
It can't be one solution because the lines doesn't intersect.
It can't be two solutions because the lines never intersect and they never intersect twice either.
Find the surface area of the composite figure
Answer:
144 cm²
Step-by-step explanation:
This figure is formed by rectangles and triangles, so we need to find the surface area of they and add all to have the surface area of the figure:
area of the rectangles:
4×3 = 12, and there are two of these rectangles
6×3 = 18, and there are just one of that
4×6 = 24, and there are two of these
5×3 = 15, and there are two of these
Now the area of a triangle:
6×4/2 = 12, and there are two of these
12×2 + 18 + 24×2 + 15×2 + 12×2 = 144 cm²
Which set of whole numbers but not natural numbers
Answer:
C
Step-by-step explanation:
C is the set with whole numbers as it contains 0 and natural numbers
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
find whether the following mathematical sentence are constant or variable . 'm' represent the whole numbers between 5 and 7
Answer:
Constant
Step-by-step explanation:
Whole numbers are numbers like 1,2,3 and 4.
1.1,2.3 and Pi arent't whole numbers. Fractions like 3/4 and 5/3 aren't whole numbers.
The whole numbers starting from 5 to 7 are:
● 5, 6 and 7
You can see that we have only one whole number between 5 and 7 wich is 6.
So m has only one value (m=6).
=> m is a constant
Please answer question now
Answer:
3
Step-by-step explanation:
2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:
MN = ML (both tangents from external point M)
ML = 6 - KL
KL = KJ (tangents from point K)
PQ = QJ = 1 (tangents from point Q)
Therefore, KJ = 4 - 1 = 3
Since kJ = KL = 3,
ML = 6 - KL = 6 - 3
ML = MN = 3
help me with this question
Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
Answer ASAP, Will give brainliest.
Answer:
[tex]\huge\boxed{10.4\ units\²}[/tex]
Step-by-step explanation:
Area of circle:
=> [tex]\pi r^2[/tex]
Where r = 2.8
=> [tex](3.14)(2.8)^2[/tex]
=> (3.14)(7.84)
=> 24.6 units²
Area of Triangle:
=> 1/2 (Base)(Height)
=> 1/2 (10)(7)
=> 5 * 7
=> 35 units²
Area of the shaded region:
=> 35 - 24.6
=> 10.4 units²
PLEASE help me with this question. This is really URGENT
Changing the exponent by 1/2 ( going from x to 1/2x)
This does not change the y-intercept.
It does sharpen the curve, which means the y value does not increase as quickly when x is increased.
THe 3rd choice is correct.
Proof: make x=2
Y = 3^2 = 9
Y = 3^1/2(2) = 3^1 = 3
You can see y is smaller with the 1/2 included.
Question 5 of 10
Which type of unemployment is characterized by a worker looking for a job
when there is no reason that he or she should not find one?
A. Structural unemployment
B. Seasonal unemployment
C. Frictional unemployment
D. Periodic unemployment
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A AND B
Answer:
a) [tex]a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}[/tex]
b) (i) [tex]a+2c=\begin{pmatrix}-4\\2\end{pmatrix}[/tex]
(ii) [tex]k=2[/tex]
Step-by-step explanation:
It is given that,
[tex]a=\begin{pmatrix}4\\-10\end{pmatrix},b=\begin{pmatrix}-2\\1\end{pmatrix},c=\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
a)
We need to find the value of a+b+c.
[tex]a+b+c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-2\\1\end{pmatrix}+\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
[tex]a+b+c=\begin{pmatrix}4+(-2)+(-4)\\-10+1+6\end{pmatrix}[/tex]
[tex]a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}[/tex]
b)
(i) We need to find the value of a+2c.
[tex]a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+2\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-8\\12\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}4+(-8)\\-10+12\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}-4\\2\end{pmatrix}[/tex]
(ii) It is given that a+2c=kb, where k is an integer. We need to find the value of k.
[tex]a+2c=k\begin{pmatrix}-2\\1\end{pmatrix}[/tex]
[tex]\begin{pmatrix}-4\\2\end{pmatrix}=\begin{pmatrix}-2k\\k\end{pmatrix}[/tex]
On comparing both sides, we get
[tex]k=2[/tex]