Answer:
Have a good day!:)
Step-by-step explanation:
When two lines intersect at a point, they form two pairs of angles that do not share a side. These pairs are called vertical angles, and they always have the same measure. ∠1 and ∠3 are vertical angles. ∠2 and ∠4 are vertical angles.
The perimeter of an isosceles triangle is 32.7 inches. The length of its base is 9.5 inches. Find the length of each of the other two identical sides.
Answer:
1.72 inches
Step-by-step explanation:
= P=2s×b
= 32.7=2s×9.5
= 32.7=19s
= 32.7/19=19s/19
= s=1.72
A mother gives birth to a 7-pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.
y =___________________
Answer:
y = 2/3 x + 7
Step-by-step explanation:
At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.
x = 0 y = 7 ----> at birth
x = 3 y = 9
x = 6 y = 11
x = 9 y = 13
Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be
slope = y / x = 2 / 3
Therefore, the equation of the line that represents this relationship is
y = (2/3) x + 7
A jailer carries a large key ring. The key ring has a diameter of 4 inches. What is the key ring's radius?
Answer:
2 inches
Step-by-step explanation:
The radius is simply the distance from the edge if you were at the center, which is equal to half the diameter. So given the diameter is 4 inches, we divide that by two, [tex]\frac{4\text{ inches}}{2}=2\text{ inches}[/tex] and that's our radius!
calculate 76.7 × 308.2 ÷ 8.04
Answer:
Step-by-step explanation:
2940.1667
Answer:
2940.16667
Step-by-step explanation:
Simplificar -3+{4-2[6-3+4(5-7)]+3
Answer:
14
Step-by-step explanation:
Para simplificar esta expresión, debemos seguir el orden de las operaciones, también conocido como PEMDAS: paréntesis, exponentes, multiplicación y división (de izquierda a derecha), y suma y resta (de izquierda a derecha).
1. Comience por simplificar la expresión dentro de los paréntesis.
4-2[6-3+4(5-7)]
4-2[6-3+4(-2)]
4-2[6-3-8]
4-2[-5]
4+10 = 14
2. Ahora sustituya el valor simplificado dentro de los paréntesis en la expresión original:
-3+{14}+3
3. Ahora podemos sumar y restar de izquierda a derecha.
-3+14+3 = 14
Entonces, la expresión simplificada es 14.
Pleaseeeeew i beg you
simplify 7m-2(3m^2 +mn)
Answer: 7m-6m²-2mn
Step-by-step explanation:
Multiply each term in parenthesis by -2
Calculate product (2x3=6)
7m-6m²-2mn
. The cylinder shown below
has a diameter of 5.2 cm on
the base and a height of 7.1
cm. Label the
measurements and find the
volume of the cylinder.
How much is 9.6 KB kilobytes
9.6 KB kilobytes is equal to 0.0096 MB
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
1kB=1000 bytes
1MB=1000 KB
1kB=1/1000MB=0.001 MB
9.6 KB is nothing but 9600 bytes
9.6 KB in MB we have to convert
Now multiply 9.6 with 0.001
9.6×0.001
0.0096 MB
Hence, 9.6 KB kilobytes is equal to 0.0096 MB
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casey draws a rectangle array that is 1,167 units long and 7 units wide. what is the area of caseys array?
The Casey's rectangular array that is 1,167 units long and 7 units wide has an area of
8169 square unitsHow to calculate the area of the rectangleThe formula for the area of a rectangle is the product of length and wide. This is written mathematically as
= length * wideness
In the problem the rectangular array made by Casey has a the following dimensions
length = 1167 units
wide = 7 units
Area of rectangle = length * wideness
substituting the values
Area of rectangle = 1167 * 7
Area of rectangle = 8169 square units
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What are the solution of 3x^2+6x+6=0
Is correct?
To solve the equation for x, locate squares a, b, and c and use the quadratic formula. x= [tex]-1\±I[/tex]
Write about quadratic equation?A second order polynomial can be used to define a square. It has at least one term that needs to be squared, in other words. They go by the name quadratic equations as well. The quadratic equation's generic form is
[tex]ax^2\+ bx + c = 0[/tex]
Where x is an unknown variable and a, b, and c are numerical coefficients, the formula is: ax2 + bx + c = 0. An example of a quadratic equation is x2 + 2x + 1. in which a 0. The equation becomes a linear equation when this value is zero and ceases to be a quadratic equation.
bx+c=0
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A track runner counted the number of races he had during a season. The graph shows the relationship between the number of track meets, x, and the number of races, y.
coordinate plane with the x axis labeled number of track meets and the y axis labeled number of races with a line that passes through the points 0 comma 5 and 1 comma 7
Part A: Calculate the slope of the linear equation shown in the graph. Show all necessary work. (3 points)
Part B: What does the slope mean for the relationship between the number of races and the number of track meets? (3 points)
Part C: Interpret the y-intercept in the situation. (3 points)
Part D: Write the equation of the line shown on the graph in slope-intercept form. (3 points)
A. The slope of the linear function is given as follows: m = 2.
B. The slope means that the number of races increases by two when the number of track meets increases by one.
C. The y-intercept of 5 means that when there are 5 races when there are 0 track races.
D. The slope-intercept definition of the linear function is given as follows: y = 2x + 5.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the output variable relative to the input variable.b is the intercept, representing the value of y when x assumes a value of zero.The input and output variables for this problem are given as follows:
Input x: number of track meets.Output y: number of races.Two points in the function are given as follows:
(0,5) and (1,7).
Hence the slope and the intercept are given as follows:
Slope of 2, as when x increases by one, y increases by two.Intercept of 5, as when x = 0, y = 5.Meaning that the function is defined as follows:
y = 2x + 5.
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help with this please
Answer:
B
Step-by-step explanation:
The numbers are the same so they would be on the same place on the number line.
Answer:
If A = B, where on the number line will A appear?
The correct answer is B. In exactly the same location as B.
This is because when we say A = B, it means that A and B have the same value, meaning they are located in the same place on a number line.
calculate the first derivative of the following function
g(x) = In(3x^3 + 12x)
Answer:
Step-by-step explanation:
Love these kinda problems.
Alr,
d/dx of lnx = 1/x
let 3x³ + 12x = t
dt/dx = 9x² + 12 ( d/dx of xⁿ = n[tex]x^{n-1}[/tex])
then, d/dx of ln t= 1/t x dt/dx = 1/(3x³+12x) x (9x² + 12) = (3x² + 4)/(x³ + 4x)
Pls mark as brainliest if possible. Cheers
Sally bought a soft drink for $3 and seven candy bars. she spent a total of $31. how much did each candy bar cost? Write an equation to represent the problem, and show the steps to solve it.
Answer:
31=3+x
31=-3+x
28=x
28/7
$4
Each Candy bar cost $4 each
Step-by-step explanation:
What is 1% of 800?
Hint: We can think of 1% as a common fraction.
Reason:
1% converts to the decimal form 0.01
0.01*800 = 8
Basically we move the decimal point two spots to the left
So the 800.0 becomes 8.000 or simply 8
Answer:
8
Step-by-step explanation:
Anything in percentage format can be expressed as a fraction by dividing by 100
Thus
[tex]\textrm{1\% }= \dfrac{1}{100}[/tex]
1% of 800 is found by multiplying 800 by the above fraction
[tex]\textrm{1\% of 800 } = 800\cdot \dfrac{1}{100} = 8[/tex]
i need help pleaseeee!!!
Answer:
-4 < 2 - a < -8
Step-by-step explanation:
A cookie factory uses 3 3/4 bags of flour in each batch of cookies. The factory used 7 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
Answer:
To find out how many batches of cookies the factory made, we need to divide the total amount of flour used (7 1/2 bags) by the amount of flour used per batch (3 3/4 bags).
We can start by converting 7 1/2 bags of flour to a mixed number: 7 1/2 bags = 7 + 1/2 = 7.5 bags
Next, we can convert 3 3/4 bags of flour to a mixed number: 3 3/4 = 3 + 3/4 = 3.75 bags
Then, we can divide the total amount of flour used by the amount of flour used per batch:
7.5 bags / 3.75 bags/batch = 2 batches
Therefore, the factory made 2 batches of cookies yesterday
Solve the equation
4sinxcosx^2 - 1 = 2cos(sin x - 1)
Answer:
Step-by-step explanation:
To solve this equation, we can start by using the identity cos(A-B) = cosAcosB + sinAsinB. Substituting A=sin x and B=1, we have:
2cos(sin x - 1) = cos(sin x)cos(1) + sin(sin x)sin(1)
We can then substitute this expression on the left-hand side of the original equation and simplify:
4sinxcosx^2 - 1 = cos(sin x)cos(1) + sin(sin x)sin(1)
Rearranging terms, we have:
4sinxcosx^2 - cos(sin x)cos(1) - sin(sin x)sin(1) = 1
We can now use the identity sin^2x+cos^2x=1 to simplify the left-hand side further:
4sinxcosx^2 - (sin^2x + cos^2x)cos(1) = 1
Simplifying further:
4sinxcosx^2 - (cosx)cos(1) = 1
Now we can divide both sides by cos(1):
4sinxcosx^2/cos(1) - cosx = 1/cos(1)
Rearranging terms:
cosx(4sinxcosx^2/cos(1) - 1) = 1/cos(1)
Finally, we can use the identity cos2x = 2cos^2x - 1 to simplify the left-hand side further:
(2cos^2x - 1)(4sinxcosx^2/cos(1) - 1) = 1/cos(1)
We can then divide both sides by (4sinxcosx^2/cos(1) - 1):
2cos^2x - 1 = 1/cos(1) (4sinxcosx^2/cos(1) - 1)
And finally, we can solve for cosx:
cosx = 1/2 + 1/2cos(1) (4sinxcosx^2/cos(1) - 1)
This is the solution to the equation.
evaluate -
[tex]\int \:{tan}^{ - 1} x \: dx[/tex]
tysm! :)
A survey was given to a random sample of 75 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 36% of the people said they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth? (Do not write
±
±).
The margin of error for this survey is 8% (0.08*100) rounded to the nearest tenth.
What is the margin of error?
The margin of error is a measure of the precision of a sample estimate. It is used to indicate the degree of uncertainty associated with a sample estimate.
The formula to calculate the margin of error at the 95% confidence level for a sample proportion is:
Margin of error = z* √(p*(1-p)/n)
Where:
z is the z-score for the 95% confidence level (1.96)
p is the sample proportion (36%)
n is the sample size (75)
So the margin of error for this survey would be:
Margin of error = 1.96 * √((0.36 * (1 - 0.36)) / 75)
Margin of error = 0.08
Hence, the margin of error for this survey is 8% (0.08*100) rounded to the nearest tenth.
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What is the area of this
Answer:
Step-by-step explanation:
The triangle on the right side fits into the missing part of the left side.
So what I did is (5+4) and times 10 = 90m.
P.s:If I'm wrong I'm sorry.
Step-by-step explanation:
well, it is a rectangle, where an isoceles right-angled triangle is cut off in the top left corner, but that triangle is added to the top right corner.
so, the area is the same as the regular rectangle.
we know, the area of a rectangle is
length × width
now, we know the length for sure (10 m).
what is the width ?
we know the part of the width until the triangle is 5 m.
and we know the leg length of the triangle is 4 m.
the width is simply the sum of the basic part and the leg length
5 + 4 = 9 m
so the area of all this is
10 × 9 = 90 m²
A manufacturing firm want to determine the proportion of defects in a manufacturing process. How many of its products does it need to sample if it wants to achieve a ±5% accuracy at a 95% confidence level, given that it believes that the true proportion of defects is no greater than 10%?
The firm needs to sample 138.297 products to achieve a ±5% accuracy at a 95% confidence level, given that it believes that the true proportion of defects is no greater than 10%.
What is a manufacturing firm?Generally, To determine the sample size needed to achieve a ±5% accuracy at a 95% confidence level, with a maximum expected proportion of defects of 10%, you can use the formula for sample size for a proportion. The formula is:
n = (z^2 * p * (1-p)) / E^2
Where:
n is the sample sizez is the standard normal deviate corresponding to the desired level of confidence (1.96 for a 95% confidence level)p is the maximum expected proportion of defects (0.10 in this case)E is the margin of error (0.05 in this case)Plugging in the given values, we get:
n = (1.96^2 * 0.10 * (1-0.10)) / 0.05^2
n =138.297
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What is g(x)?
O A g(x)=-x
OB. g(x)=-lxi
OC. g(x)=-2*
O D. g(x)=-x²
Answer:
c.
Step-by-step explanation:
this graph is exponential equation
Does anyonw know how to solve:
cos2a=4/5?
The value of a is 18.43°
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, cos2a=4/5
cos 2a = 4/5
2a = cos⁻¹(4/5)
2a = 36.86°
a = 18.43°
Hence, the value of a is 18.43°
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Larry and Donna bought a sofa at the sale price of $1,152. The original price of the sofa was $1,920.
Find the amount of discount in dollars.
The discount in dollars is $768.
This is a question of simple subtraction.
A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time
Discounted Amount means an amount equal to the sum of the Offer Discount, Volume Discount and Payment Discount, applied to the List Price of all Eligible Products ordered by the Customer under these Terms.
Larry and Donna bought a sofa at the sale price of $1152.
The original price of the sofa was $1920.
So, Discounted amount of the sofa= (Original price of the sofa- Sale price of the sofa)
i.e, ($1920-$1152)= $768.
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Select the correct answer.
Which type of investment offers both capital gains and interest income?
Α. property
B. CDs
C. stocks
D. bonds
Answer:
D
Step-by-step explanation:
I have 18 students that took a test. 4 of the students passed. What is the percentage of the students that passed and the students that didn't pass?
Step-by-step explanation:
as always with % calculations :
first find what is 100% or 1%. everything else can be calculated from that.
in our case, we got 100% = 18.
therefore, 1% = 100%/100 = 18/100 = 0.18
how many % are 4 students ?
as many as the times 1% (0.18) fits into 4 :
4 / 0.18 = 22.22222222... %
so,
22.22222222... %
of the students passed.
therefore,
100 - 22.22222222... = 77.77777777... %
of the students did not pass.
The milky way galaxy is 1000 light years thick. find how thick the galaxy is in meters and astronomical units
Answer:
The Milky Way is about 1,000,000,000,000,000,000 km
Step-by-step explanation:
about 100,000 light years or about 30 kpc) across.
HELP FAST
How to find the complex zeroes of [tex]x^2-6x+13[/tex]
Answer:
There are few possible ways to find the complex zeros
You can find the complex zeros by using quadratic formula
[tex]x^2-6x+13=0[/tex]
[tex]=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:13}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:4i}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-\left(-6\right)+4i}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4i}{2\cdot \:1}[/tex]
[tex]x=3+2i,\:x=3-2i[/tex]