Answer:
7.8
Step-by-step explanation:
using your calculator, cos 67 degrees equals approximately 0.39
cos 67 degrees = x / 20
x / 20 = 0.39
x = 0.39 x 20
x = 7.8
hope this helps
Answer:
7.8 is the answer i know it bcuz im good at math
Dividing fractions word problem,
I need your help, yes you!
Answer: 2
Step-by-step explanation:
Answer:
I think it's 2kg
Step-by-step explanation:
13/5 ÷ 13/10
Reciprocate
13/5 × 10/13
= 26/13
=2kg
Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?
A 2/8
B 3/8
C 5/8
D 6/8
Answer:
3/8
(B)
Step-by-step explanation:
3+2+3=8.
There are 3 orange, so 3/8
Answer:
7/8
Step-by-step explanation:
3+3+2=8 but it said probability she selected AN orange marble
Help! I’m confused and need help finding the answer!
Answer:
y=11x
Step-by-step explanation:
we use formula y2-y1/x2-x1 with 2 of the order pairs
22-11/2-1
11/1
11 is the slope
We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time
When x is zero y is zero so we write it like this
Y=11x
Hopes this helps please mark brainliest
I NEED HELP PLEASE! WILL MARK BRAINLIEST IF CORRECT !
Answer: 71.57
Step-by-step explanation:
You are going to use SOH CAH TOA to find the angle
because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)
TanΘ=\(\frac{9}{3}\)
now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)
71.57
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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determine whether the series is absolutely convergent, conditionally convergent, or divergent sin(n)/3^n convergent
Answer:
absolutely convergent
Step-by-step explanation:
given data
sin(n)/3^n
solution
we have given term \(\frac{sin(n)}{3^n}\)
when n = 1
and we know that
value of sin(n) ≤ 1
so that we can say that
\(\frac{sin(n)}{3^n}\) ≤ \(\frac{1}{3^n}\) or \((\frac{1}{3})^n\)
here \(\frac{1}{3^n}\) is converges this is because common ratio in geometric series
here r is \(\frac{1}{3}\) and here it satisfy that -1 < r < 1
so it is converges
and
\(\frac{sin(n)}{3^n}\) is also similar
so it is converges
and here no \((-1)^n\) term is
so we can say series is absolutely convergent
A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
How can I find the measure of each angle or arc in a circle
Given:
Find the measure of each angle or arc in a circle.
Explanation:
As we know,
The central angle of a circle is 360 degrees.
The central angle that subtends the arc also subtends the same degrees of the arc.
We have the formula to find the measure of angle (or arc) when the arc length (or angle) and radius are given.
The formula is,
\(\text{Arc length, }l=\frac{\theta}{360^{\circ}}\times2\pi r\)Here, r is the measure of the radius of the circle and θ ( in degrees) is the measure of the angle subtended by the radius.
If θ is measured in radians, then the formula of arc length becomes,
\(\text{Arc length, }l=\theta r\)Example:
1. If the radius of the circle is 7 m and the measure of the angle subtended by the radius is 90 degrees, then the arc length is,
\(\begin{gathered} l=\frac{90}{360}\times2\times\frac{22}{7}\times7 \\ l=11m \end{gathered}\)2. If the radius of the circle is 7 m and the measure of the arc length is 33m then the measure of the angle is,
\(\begin{gathered} 33=\frac{\theta}{360^{\circ}}\times2\times\frac{22}{7}\times7 \\ 33=\frac{\theta}{90^{\circ}}\times11 \\ \theta=\frac{90^{\circ}\times33}{11} \\ \theta=270^{\circ} \end{gathered}\)Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify
(________)
Answer:7y=-4x+1
Step-by-step explanation:
y=mx+c
-5=-4/7(-9)+c
c=1/7
y=-4/7x+1/7
7y=-4x + 1
If the radius of a circle is 12cm, then the diameter is 6cm.
True or false
Answer:
False.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
Radius: rDiameter: d = 2rStep-by-step explanation:
Step 1: Define
Radius = 12 cm
Step 2: Find diameter
Substitute: d = 2(12 cm)Multiply: d = 24 cm∴ The statement is false and should be 24 cm as the diameter.
Translate the given phrase into an algebraic expression and simplify if possible: the sum of -8 and -9, increased by 23.
Note: Enter only the simplified result.
Step-by-step explanation:
(-8-9)+23
-17+23
6.........
The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
Here,
We have to simplify; the sum of -8 and -9, increased by 23.
And, find an algebraic expression.
What is Algebraic expression?
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Now,
The written expression is, the sum of -8 and -9, increased by 23.
It can be written as,
⇒ [(-8) + ( -9)] + 23
⇒ - 8 - 9 + 23
⇒ - 17 + 23
⇒ 6
Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
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Select all of the following tables which represent y as a function of x
.
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
8. How many different pizzas can be made with 4 types of crust, 2 types of cheese, and 7 different toppings if each pizza has 1 crust, 1 cheese, and 1 topping?
Problem statement: The menu at a pizza place lets you pick one of two crust types, one of three sauces, one of five types of cheese, and any number of seven different toppings. How many possible different pizzas can you order that have exactly three different toppings?
Be very careful to read this question critically and to enumerate the number of items correctly:
"one of two crust types" 2 possibilities
"one of three sauces" 3 possibilities
"one of five types of cheese" 5 possibilities
"any number of seven different toppings"
many possibilities (none, any combination of {a,b,c,d,e,f or g})
However, "exactly three different toppings" (not cheeses or sauces) means that you are choosing 3 of 7 toppings (and that's all that this problem asks you).
So, nCr = n! / ((n-r)!r!) ["n choose r"; n=7; r=3]
7C3 = 7! / (4!3!)
7C3 = 5040/144
7C3 = 35
The equation for a straight line (deterministic model) is y = Bo + B,X.If the line passes through the point ( - 10,3), then x = - 10, y = 3 must satisfy the equation; that is, 3 = Bo + B1(-10).Similarly, if the line passes through the point (11,4), then x = 11, y = 4 must satisfy the equation; that is, 4 = Bo+B1(11).Use these two equations to solve for Bo and By; then find the equation of the line that passes through the points (-10,3) and (11,4)...Find Bo and B,B1 =Bo(Simplify your answers. Type integers or simplified fractions.)
To find the equation of the line we just need to find the beta constants. In order to do this we have (they provided us with) the following system of equations:
\(\begin{cases}3=\beta_0+\beta_1(-10) \\ 4=\beta_0+\beta_1(11)\end{cases}\)Let us subtract the second equation to the first one:
This implies that
\(\beta_1=\frac{-1}{-21}=\frac{1}{21}\)Now, let us replace this value we just got into the second equation to find beta_0:
\(\begin{gathered} 4=\beta_0+\frac{1}{21}\cdot11, \\ 4=\beta_0+\frac{11}{21}, \\ \beta_0=4-\frac{11}{21}=\frac{4\cdot21}{21}-\frac{11}{21}=\frac{84-11}{21}=\frac{73}{21} \end{gathered}\)At last,
\(\beta_1=\frac{1}{21},\beta_0=\frac{73}{21}\)Then, the equation of the line is just
\(y=\frac{73}{21}+\frac{1}{21}x\)For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population. Find the mean and
standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population.
The number of DVDs rented by each of three families in the past month is 2, 11, and 5. Use a sample size of 2
The correct comparison of the population and sampling distribution is A. Means are the same but the standard deviation of sampling distribution is smaller
How to find the mean and standard deviationX X^2
95 9025
96 9216
98 9604
Sum = 289 27845
n 3
The sample mean 96.33333333 SUM/n
Population mean 96.33333333 SUM/n
Sample standard dev \(1.527525232 \sqrt{((1/(n-1))(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population standard dev \(1.247219129 \sqrt{((1/n)(SUM(X^2)-(1/n)SUM(X)^2)}\)
Population Mean(μ) = 96.33
Population standard deviation (σ) = 1.25
Option A) 95,96,98 and X bar = 96.33
Sampling distribution :
mean (μx = μ) = 96.33
standard deviation(σx = σ/SQRT(n)) = 1.25/SQRT(3) = 0.72
Option A) Means are the same but the standard deviation of the sampling distribution is smaller
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please help ! giving 20 points.
Which ones are rational ?
7.284
10.2
0.75
-7.165
3/11
-1/4/
Answer:
all of them
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal
Which is the best description of the graph of the derivative of a parabola that opens downward?
let's take a looksie hmmmm a parabola opening downwards in vertex form using constants of "h" and "k" will be like
\(y = -(x+h)^2 +k\implies y = -x^2-2hx-h^2+k \\\\\\ \cfrac{dy}{dx}=-2x-2h\qquad \impliedby \textit{straight line with a negative slope}\)
19. Consider the function below.
a) Find and sketch the domain of f
b) Find the range of f
(a) \(f(x,y)\) is defined only as long as
\(x^2 + y^2 - 9 > 0 \implies x^2 + y^2 > 3^2\)
which is the region outside the closed disk with radius 3. So
\(\mathrm{dom} f(x,y) = \left\{(x,y) \in \Bbb R^2 \mid x^2 + y^2 > 9\right\}\)
which is easy to sketch.
(b) \(x^2+y^2>9\), so \(x^2+y^2\) can only approach 9 from above. As we approach the circle \(x^2+y^2=9\), the first term of \(f(x,y)\to\infty\), since \(\frac1{\sqrt{\text{small number}}} = \text{large number}\). As \((x,y)\) goes off to some infinity in the \(x,y\)-plane, \(x^2+y^2\to\infty\), so the first term \(f(x,y)\to0\). It never actually takes on the value of 0, since \(\sqrt{x^2+y^2-9} > 0\).
Meanwhile \(5\sin(x+y)\) is bounded between -5 and 5. This means there is an overall lower bound of -5 in some infinite corner of the plane.
\(\mathrm{ran} f(x,y) = \left\{z \in \Bbb R \mid -5 < z < \infty\right\}\)
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?
20
22
25
27
Answer:
I'd say 20
Step-by-step explanation:
Answer:
I’d say 20 or 25
Step-by-step explanation:
What is the slope of the line segment that passes through
points (1,3) and (5, 13)?
Answer: 5/2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
13-3/5-1 = 10/4 or 5/2
Answer:
2.5
Step-by-step explanation:
Gradient (slope) =
\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)
Pls help step by step (special right triangles)
Value of base and hypotenuse of triangle are 9√3 and 18 respectively.
Define right triangleA right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Height of triangle=9
Base of triangle=y
Hypotenuse of triangle=x
Using trigonometric ratio
Sin30°=Height/Hypotenuse
½=9/x
x=18
Cos30°=Base/hypotenuse
√3/2=y/18
y=9√3
Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.
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5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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Supplementary angles must share a common side. True or False
Answer:
I guess answer is true but not sure
Answer:
The answer is false. Complementary and supplementary angles DO NOT HAVE TO share a vertex or a side but they CAN be.
Practice Problems
1. The absolute value of a number is its distance from 0 on the
number line (no sign, just value). Compare the absolute value of
7 and -7.
Answer: The absolute values of 7 and -7 are equal because they are both a distance of 7 units from 0 on the number line.
100 points Sin cos tan will give brainliest please answer
I hope this helps you if in doubt can ask me.
100 PTS PLEASE HELP PLEASEEE
Answer:
8
Step-by-step explanation:
The square root of a number is what number multiplied by itself can result in the product of this.
For example, in this question you multiply 8 by itself to get 64
8*8=64
So, the square root is 8
Insurance withholding varies depending on whether an entire family is covered or only the employee is covered. True False
Answer:
it would True
Step-by-step explanation:
Molly has four t-shirts in her closet that she plans to wear over the next four days without wearing the same one twice. She has a blue, green, yellow, and black shirt. What are the chances that she will wear the black shirt the first day?
Write your answer as an exact fraction which is reduced as much as possible.
Answer:
Molly has four choices for which shirt to wear on the first day, and one of those choices is the black shirt. So the probability that she will wear the black shirt on the first day is 1/4. Therefore, the answer is 1/4.
Step-by-step explanation: