Answer:
Step-by-step explanation:
18 students don't walk to school
6 boys, 12 girls
12 students walk to school (30-18)
3/4 of students who walk to school are boys = 9 boys, 3 girls
How do I get the answer for question 5
Answer:
m∠p = 131
Step-by-step explanation:
to find this we can use the exterior angle theorem
this states that the two inner angles added together equals the opposite outer angle
so
we can start with a
we must find the inner angle a
180 - 162 = 18
that is the inner angle of a
now we must use the exterior angle theorem to find p
a + p is 149
a + p = 149
substitute 18 in
18 + p = 149
now subtract 18 from both sides
p = 131
that is your answer
Samples of size n = 125 are randomly selected from the United States census data. Which sample
statistic will best target the population parameter?
A standard deviation
B proportion
C mean
D range
Answer: i’m pretty sure c mean
Step-by-step explanation: because a population parameter is a value that describes a population such as the mean
Answer:
Proportion
Step-by-step explanation:
The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Answer:
8 units²
Step-by-step explanation:
The area (A) of the shaded part (right triangle ) is calculated as
A = \(\frac{1}{2}\) × area of rectangle
= 0,5 × 4 × 4 = 0.5 × 16 = 8 units²
Answer:
8 units ^2 are shaded
Step-by-step explanation:
The total area of the square is 4 * 4 = 16
1/2 of the square is shaded so
1/2 * 16 = 8
8 units ^2 are shaded
What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm
The measure of the radius, c, rounded to the nearest hundredthis 12.36cm
Trigonometry identityThe given figure is a pentagon. The measure of one of the interior angle is 108 degrees.
The triangle in the pentagon is right angle.
Measured acute ange = 108/2 = 54 degrees
Using the trig identity
sin 54 = 10/c
c =10/sin54
c = 10/0.8090
c = 12.36 cm
Hence the measure of the radius, c, rounded to the nearest hundredthis 12.36cm
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Answer:
12.36
Step-by-step explanation:
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?
8 students out of 27
the total of students is 27 out of the 27 students 19 dont play and instrument and a sport
Simplify the quantity 7 minus one fourth times the square root of 16 end quantity squared plus the quantity 2 minus 5 end quantity squared. 27 45 324 900
The value of the expression (7 - 1/4 × ✓16)² + (2 - 5)² is 45.
How to calculate the expression?Based on the information given, the expression will be:
(7 - 1/4 × ✓16)² + (2 - 5)²
= (7 - 1)² + (-3)²
= 6² + 3²
= 36 + 9
= 45
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Find the area of the parallelogram.
The distance from any point on a circle to the center of the circle is the ____.
circumference
diameter
area
radius
Answer:
radiusStep-by-step explanation:
The distance from a circle's center to a point on the circle is called the radius of the circle. A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle.
Answer:
The distance from any point on a circle to the center of the circle is the radius.
I need help please. Find the distance between Points U and Q.
Answer:
1 unit
Step-by-step explanation:
- 1 1/2 - (- 2 1/2)
= 1 unit
5. Write two expressions for the area of the big rectangle.
Answer:
Two expressions for the area are;
i) x/3 + 2·y + 6
ii) (1/3) × (x + 6·y + 18)
Step-by-step explanation:
The given dimension of the rectangle are;
The height of the rectangle, h = 1/3
The width of the smallest rectangle, w₁ = x
The width of the med sized rectangle, w₂ = 6·y
The width the large rectangle, w₃ = 18
The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;
A = A₁ + A₂ + A₃
Where;
A₁ = The area of the smallest rectangle
A₂ = The area of the mid sized rectangle
A₃ = The area of the large rectangle
∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6
The area of the big rectangle. 'A', can also be found as follows;
A = (1/3) × (x + 6·y + 18)
Therefore, two expressions for the area of the big rectangle are;
x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).
What is the value of (-15/8 + 1.5) divided by (15 - 14 3/4) Please help :( this is worth my whole year grade
Answer:
-3/2 which is a
Step-by-step explanation: finding the exact value
The value (-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\)) = -3/2,
Hence, Option A is correct.
The given expression is,
(-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\))
Since we know,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
Here we have to find the value of the given expression is,
We can write it as,
⇒ (-15/8 + 1.5) ÷ (15 - 59/4)
⇒ (-15 + 12)/8 ÷ (60-59)/4
⇒ -3/8 ÷ 1/4
⇒ -3/8 x 4/1
⇒ -3/2
Hence,
(-15/8 + 1.5) ÷ (15 - \(14\frac{3}{4}\)) = -3/2
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Solve this problem. 4|3x+4|=4x+8
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
What is the equation of the line that passes through the point (-2, 0) and has
a
slope of
2?
Answer:
y = 2x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 2, 0 ) into the partial equation
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = 2x + 4 ← equation of line
What is an equation of the line that passes through the point (- 2, - 4) and is parallel to the line 5x - 2u = 6 ?
Based on data from a college, scores on a certain test are normally distributed with a mean of 2524 and a standard deviation of 325 find the percentage of scores greater than 1979
Step 1:
Write the given data
\(\begin{gathered} \text{mean }\mu\text{ = 2524} \\ \text{Standard deviation }\sigma\text{ = 325} \\ x\text{ = 1979} \end{gathered}\)Step 2:
Write the z-score formula
\(z\text{ = }\frac{\text{x - }\mu}{\sigma}\)Step 3
Substitute the values in the z score equation
\(\begin{gathered} \text{z = }\frac{1979\text{ - 2524}}{325} \\ z\text{ = }\frac{-545}{325} \\ z\text{ = -1.677} \end{gathered}\)Step 4:
Draw the z-curve
Step 5
Probability that scores greater than 1979 id Pr (z > -1.677)
\(=\text{ 0.5 - 0.0475 + 0.5 = }0.953\)\(\begin{gathered} percentageofscoresgreaterthan1979 \\ =\text{ 0.953 }\times\text{ 100 = 95.3\%} \end{gathered}\)Final answer
= 95.4%
Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W
Answer:
\(\frac{59}{5}\) or 11 \(\frac{4}{5}\)
Step-by-step explanation:
hope this helps :)
Which of the following statements correctly describes the evidence shown by
the structures in the accompanying image?*
Whale
Frog
Porce
Bird
VARROW
O c. The human and the bat share analogous bone structures in their forelimbs
b. Only the human and the frog share homologous bone structures
a. The bat and the frog share analogous bone structures in their forelimbs
d. All the species shown share homologous structures in their forelimbs
All the species shown share analogous
ructures in
forelimbs
O
This is a required question
someonepleasehelp me asap
evaluate (8)-2(15-8)
Answer:
-6
Step-by-step explanation:
You have to multiple -2 by 15 and -8 separately
8 - 2(15-8)
8 -30 + 16
24-30 = -6
(5-8) (1,4) m = -3
find the slope
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
The circumference of a circle is 37. 68 inches. What is the circle's radius?
Use 3. 14 for
If The circumference of a circle is 37. 68 inches. The circle's radius is approximately 6 inches.
The circumference of a circle is given by the formula:
C = 2πr
Where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Given that the circumference of the circle is 37.68 inches, we can set up the equation as:
37.68 = 2 * 3.14 * r
To solve for r, we can divide both sides of the equation by 2π:
37.68 / (2 * 3.14) = r
r ≈ 37.68 / 6.28
r ≈ 6 inches
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Translate the equation using a variable.
"Nineteen less than one-half of a number is -13."
Answer:
1/2a-19=-13
Step-by-step explanation:
One half of a number represents the phrase "1/2a" (in this case the variable/number is 'a'". Then because it says "nineteen less than", that means you subtract 19 from one half of the variable.
Answer:
1/2x - 19 = -13
Step-by-step explanation:
1/2x - 9 = -13
Hope this helps!!!
4. State whether each set of ordered pairs represents a function.
a) {(2,4), (3,5), (1,9), (2,-5),(3,-7) }
b) {(6,5) (5,4),(4,3), (3,2), (2,1) }
For each integral, indicate what trig function would be used to solve using trigonometric substitution. (No work to show.) a) ∫ x 2 +4 x 2 dx b) ∫ 16−9x 2 x 2 dx c) ∫ 5x 2 −3 x 2 dx
As per the trigonometric substitution the value of the integrals are
a) ∫ x² + 4 / x² dx is 2 tan θ
b) ∫ (16 - 9x²) / x² dx is (4/3) sec θ
c) ∫ (5x² - 3) / x² dx is (1/√3)tanθ
Let's take a look at the given integrals:
a) ∫ x² + 4 / x² dx
For this integral, we can use the trigonometric substitution x = 2tanθ. This substitution simplifies the integral and allows us to solve it using trigonometric identities.
b) ∫ (16 - 9x²) / x² dx
To solve this integral, we can use the trigonometric substitution x = (4/3)secθ. This substitution simplifies the expression under the integral sign and allows us to use trigonometric identities to solve the integral.
c) ∫ (5x² - 3) / x² dx
For this integral, we can use the trigonometric substitution x = (1/√3)tanθ. This substitution simplifies the integral and allows us to use trigonometric identities to solve it.
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Slove the system of linear equations by graphing y=-x+7 y=x-1
Write each expression in simplest form. (x¹/₃ / y²/₃)⁹
\(x^{3} / y^{6}\) is the simplest form
The expression is
\((x^{1/3 }/ y^{2/3} ) ^{9}\)
We have to multiply the root of 9 with the root of the numerator and denominator.
So we will get
\((x^{1/3} )^{9} /( y^{2/3})^{9}\)
\(x^{1/3*9} / y^{2/3 *9}\)
We will get
\(x^{9/3} /y^{18/3}\)
=\(x^{3} / y^{6}\)
So now we get the equation in the simplest form in the form of x and y
i.e \(x^{3} / y^{6}\)
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PLEASE HELPPPPP
The revenue made by a car
company from the sale of y cars is given by 0.003y! +
10y. The cost to produce y cars is given by the polynomial 20y + 1,000,000. Write
a polynomial expression for the profit from making and selling y cars. Find the
profit the company will make if it sells 30,000 cars.
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
\(P_{y = 30,000}\) = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.
PLEASE HELP IM SERIOUSLY STUCK
Formula for the Slope: (y2 - y1) / (x2 - x1)
You can use any two points to find the slope, as long as those two points are on the line.
Point 1 = (-2, 8)
Point 2 = (0, 0)
Slope = (0 - 8) / (0 - - 2)
Slope = -8 / 2
Slope = -4
Hope this helps!
Answer:
-4
Step-by-step explanation:
The formula to find the slope is (change in y)/(change in x). In other words, rise over run.
If we look at the data, we can see that the x and y value changes.
x value: -3 --> -2 --> -1 --> 0 --> 1
y value: 12 --> 8 --> 4 --> 0 --> -4
When y changed from 12 to 8, the x changed from -3 to -2.
y: 12 --> 8
x: -3 --> -2
There was a difference of -4 in the y and a difference of 1 in the x.
At the top, I wrote that the slope was (change in y)/(change in x)
With -4 and 1 we found, we can say that the slope is -4/1.
If we simplify this answer, we end up with -4.
So -4 is the slope of the data.
use the definition of taylor series to find the taylor series (centered at c) for the function. f (x)=6/x^1 c=1
[infinity]
f(x) =Σ
n=0
Answer:
\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)
Step-by-step explanation:
Recall the formula for Taylor Series:
\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)
Determine the derivative function fⁿ(c):
\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)
Therefore, the infinite series can be written as:
\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)
Everyday Math
426. Heating Oil A 275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?
Answer:
261.81818181
Step-by-step explanation:
400÷275=x
x×180
Answer:
If 275 gallon of oil tank costs $400 to fill.
Then 180 gallon of oil tank costs $261.8 to fill.
Step-by-step explanation:
Given that a 275 gallon of oil tank costs $400 to fill.We need to find how much it would cost to fill a 180 gallon oil tank.Use the unitary method to find the answer.Step 1 of 2
If 275 gallon of oil tank costs $400 to fill.
Then the cost to fill 180 gallon of oil tank can be found by forming a proportion.
Let the required cost be x.
\($$\begin{aligned}\frac{\text { cost }}{\text { Gallons of Gas }} &=\frac{\text { cost }}{\text { Gallons of Gas }} \\\frac{\$ 400}{275} &=\frac{x}{180}\end{aligned}\)
Multiplying both sides by 180 we get,
\($$\begin{aligned}\frac{\$ 400}{275} \times 180 &=\frac{x}{180} \times 180 \\x &=\frac{\$ 400}{55} \times 36 \\x &=\$ 261.8\end{aligned}$$\)
Step 2 of 2
To check if the answer is reasonable, we substitute it back in the formed proportion
\($\frac{\$ 400}{275}=\frac{x}{180}$$\)
We found x=$261.8 hence,
\($\frac{\$ 400}{275}=\frac{\$ 261.8}{180}$$$\$ 1.45=\$ 1.45$$Here, $L H S=R H S$\)
Hence, our answer is correct.