Answer:
14 triangles
Step-by-step explanation:
Just make equilateral triangles
Answer:
I’m pretty sure it’s 12
Step-by-step explanation:
There are 12 equilateral triangles
Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.
Answer: k = {8, -8}
Step-by-step explanation:
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
PLEASE HELP ME i will give brainliest, points
Answer:
\(x(t) = 3 + t\)
make t the subject:
\(t = x - 3\)
for y :
\(y(t) = - {t}^{2} \\{ \boxed{ \boxed{ y(t) = - {(x - 3)}^{2} }}}\)
Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Simplity √10•√8•
O√18
04√5
O√80
08√10
The simplified form of the expression √10•√8 is 4√5.
Expression:
Expression refers the mathematical statements that have two terms at least that contain variables, numbers, or both.
Given,
Here we have the expression √10•√8.
Now we have to find the simplified form of these expression.
Now, we have to multiply the values inside the square root then we get,
=> √10 x √8 = √(10 x 8)
After the multiplication we can get,
=> √80
Now, we have to expand this as the following,
=> √16 x 5
We know that √16 is equivalent for 4²,
So, it can be written as,
=> √4² x 5
Now, we have to simplify this as,
=> 4√5
Therefore, the simplified expression is 4√5
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Two jets leave an air base at the same time and travel in opposite directions. One jet travels 94 mi/h faster than the other.
If the two jets are 2436 miles apart after 2 hours, what is the rate of each jet?
The rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.
Describe Distance?Distance is a measure of the physical separation between two objects or points. It is a fundamental concept in geometry, physics, and other sciences, and it is used to describe the length or size of objects, the speed of motion, and the magnitude of forces.
Let's call the rate of the slower jet "r" (in mi/h). Then the rate of the faster jet is "r+94" (since it's traveling 94 mi/h faster).
We know that after 2 hours, the two jets are 2436 miles apart. We can use the formula:
distance = rate x time
For the slower jet, the distance it has traveled is:
distance = rate x time = r x 2 = 2r
For the faster jet, the distance it has traveled is:
distance = rate x time = (r+94) x 2 = 2r + 188
The total distance between the two jets is the sum of these distances:
2r + (2r + 188) = 2436
Simplifying this equation, we get:
4r + 188 = 2436
Subtracting 188 from both sides:
4r = 2248
Dividing by 4:
r = 562
So the rate of the slower jet is 562 mi/h. The rate of the faster jet is:
r+94 = 562+94 = 656 mi/h
Therefore, the rate of the slower jet is 562 mi/h and the rate of the faster jet is 656 mi/h.
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Point A, located at (-11, - 7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of points B and C?
Answer:
Answer: B(-11,7) C(11,7)
Step-by-step explanation:
Reflections In The Coordinate Plane
Reflect over the x-axis:When we reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate is mapped to its opposite.
The reflection of the point (x,y) over the x-axis is the point (x,-y).
Reflect over the y-axis:When reflecting a point over the y-axis, the y-coordinate remains the same, but the x-coordinate is mapped to its opposite (its sign is changed).
The reflection of the point (x,y) across the y-axis is the point (-x,y).
Point A is at (-11,-7). When reflected over the x-axis, it maps to Point B located at B(-11,7).
Point B is now reflected over the y-axis and maps to C(11,7).
Answer: B(-11,7) C(11,7)
Please I need help with this.
Answer:
answer is c
Step-by-step explanation:
Just did it make me brainliest
1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3
The volume of the cone is 13 cm³. option D
How to determine the volumeTo determine the volume of the cone, we have that;
The formula for calculating the volume of a cone is expressed as;
Volume = (1/3)πr ²√(L ² - r ²).
Such that;
r is the radiusL is the slant heightSubstitute the values, we have;
Volume = 1/3 × 3.14 ² × √(25 - 9)
Find the squares, we get;
Volume, V = 1/3 × 9. 86 × √16
Find the square root
Volume, V = 1/3 × 9.86 × 4
Volume, V = 13 cm³
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f(x)=7x-9 find (fog)(x)
What is g(x)? I need to know it to solve the problem
Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5
The rules that define the piecewise function graphed are as follows:
y = x + 2, y = 5.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:
m = (5 - 2)/(3 - 0) = 1.
The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:
\(y = x + 2, 0 \leq x \leq 3\)
For x greater than 3, the function is constant at y = 5, hence the definition is:
y = 5, x > 3.
Hence, the rules that are used to define the piecewise function graphed are as follows:
y = x + 2, y = 5.
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What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
At a certain zoo, the average mass of one blue whale is measured to be 190000 kilograms. Use scientific notation to express the mass of 125 blue whales.
PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER, PLEASE DON'T JUST USE IT TO GET THE POINTS!!!!!!!!!!!!!
The weight of the 125 blue whales in the scientific notation will be 23.75 × 10⁶ kilograms.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
At a specific zoo, the typical mass of one blue whale is estimated to be 190000 kilograms. Utilize logical documentation to communicate the mass of 125 blue whales.
⇒ 190,000 × 125
Simplify the expression in the scientific notation, then we have
⇒ 190,000 × 125
⇒ 23,750,000
⇒ 23.75 × 10⁶ kilograms
The weight of the 125 blue whales in the scientific notation will be 23.75 × 10⁶ kilograms.
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the digit 1 in which number represents a value of 0.1
a) 6.513
b) 0.18
c)201
The place value of a digit in a given number can be in either unit, tens, hundred, thousand, hundred of thousand etc. Therefore the required answer is option B. 0.18.
What is the place value of a digit?The place value of a digit is its position in a given number. These could either be as unit, tens, hundred, thousands, ten thousands etc.
This can now be stated as required. This knowledge is required when round off a given decimal number to either a required number of significant figure or decimal places.
So that considering the given question, the place value of 1 in the given number 0.1 is tenths. Therefore, the place value of digit 1 that would make it to have a value of 0.1 is the number 0.18. Thus option B.
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I need help -7y^2-2y^2+y^3-3y-2y+5y^3-2y
Answer:
6
3
−
9
2
−
7
Step-by-step explanation:
Combine like terms
−
7
2
−
2
2
+
3
−
3
−
2
+
5
3
−
2
{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{3}-3y-2y+5y^{3}-2y
−7y2−2y2+y3−3y−2y+5y3−2y
−
9
2
+
3
−
3
−
2
+
5
3
−
2
Combine like terms
−
9
2
+
3
−
3
−
2
+
5
3
−
2
-9y^{2}+y^{3}{\color{#c92786}{-3y}}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}
−9y2+y3−3y−2y+5y3−2y
−
9
2
+
3
−
7
+
5
3
Combine like terms
−
9
2
+
3
−
7
+
5
3
-9y^{2}+{\color{#c92786}{y^{3}}}-7y+{\color{#c92786}{5y^{3}}}
−9y2+y3−7y+5y3
−
9
2
+
6
3
−
7
Rearrange terms
−
9
2
+
6
3
−
7
{\color{#c92786}{-9y^{2}+6y^{3}-7y}}
−9y2+6y3−7y
6
3
−
9
2
−
7
Solution
6
3
−
9
2
−
7
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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The function f is defined on the real numbers by f(y) = y + 2y − 2: What is the value of f(5)?
Answer:
f(5)=5+2(5)-2
f(5)=5+10-2
f(5)=15-2
f(5)=13
simplify!!!! pls i need help
4/√6
Answer:
2√6/3
Step-by-step explanation:
Help with math
Image attached :)
Answer:
lol I rlly thought hahhahaha
Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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Plans Math Fourth grade > W.4 Parallel sides in quadrilaterals 58M How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs Submit
Answer:
2 pairs
Step-by-step explanation:
The north & south sides are parallel and the east & west are parallel.
Solve each system of equations by graphing. Show all work necessary to prove that your answer is correct.
If there is not exactly one solution, determine if the system of equations has infinitely many solutions or
no solution.
y=-1/4x+6
y=1/2x+3
By answering the presented question, we may conclude that Therefore, the system of equations has exactly one solution, (4, 5).
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
To solve this system of equations by graphing, we need to plot the two equations on the same coordinate plane and find the point where they intersect.
First, let's rewrite both equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
y = -1/4x + 6 can be rewritten as y = -0.25x + 6
y = 1/2x + 3 can be rewritten as y = 0.5x + 3
Now, we can plot the two lines on the same coordinate plane:
|
|
|
| *
| *
| *
|*
+------------------------
The point of intersection is approximately (-4, 5), which we can confirm algebraically by setting the two equations equal to each other:
-0.25x + 6 = 0.5x + 3
Simplifying this equation, we get:
0.75x = 3
x = 4
Substituting x = 4 into either equation, we get:
y = -0.25(4) + 6 = 5
So the point of intersection is (4, 5).
Therefore, the system of equations has exactly one solution, (4, 5).
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The system of equations has exactly one solution, (4, 5).
What is equation?
An equation in mathematics is a statement which states the equality of two expressions. An equation contains two sides that are separated by an algebraic sign "equals to" (=). For example, the argument "2x + 5 = 9" implies that "2x Plus 5" equals the number "9." The purpose of equation solving is to determine the value or values of the unknown variable(s) for example 'x' here.
To solve this system of equations by graphing, we need to plot the two equations on the same coordinate plane and find the point where they intersect.
Given system of equation is
y=-1/4x+6
y=1/2x+3
First, let's rewrite both equations in slope-intercept form, y = mx + b, where m= slope and b is the y-intercept.
y = -1/4x + 6 can be rewritten as y = -0.25x + 6-------------- (1)
Here m= -0.25 and b=6
y = 1/2x + 3 can be rewritten as y = 0.5x + 3-------------------(2)
Here m= 0.5 and b= 3
The graph of the system of equation is attached below.
The point of intersection is approximately (4, 5), which can be confirmed algebraically by setting the two equations equal to each other:
-0.25x + 6 = 0.5x + 3
Solving this equation, we get:
0.75x = 3
x = 4
Substituting x = 4 into equation (1), we get:
y = -0.25(4) + 6 = 5
So the point of intersection is (4, 5).
Hence, the system of equations has exactly one solution, (4, 5).
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A trapezoid with base lengths of 55 inches and 70 inches, and height 38 inches.
How much glass would it take to make the trapezoid-shaped car windshield shown?
Answer:
2375 square inches
Step-by-step explanation:
To calculate the amount of glass required to make the trapezoid-shaped car windshield, we need to find the area of the trapezoid.
The formula to calculate the area of a trapezoid is:
Area = (1/2) × (sum of bases) × height
In this case, the bases of the trapezoid are 55 inches and 70 inches, and the height is 38 inches.
Area = (1/2) × (55 + 70) × 38
= (1/2) × 125 × 38
= 0.5 × 125 × 38
= 2375 square inches
Therefore, it would take 2375 square inches of glass to make the trapezoid-shaped car windshield.
9. The length of a garden is 2w + 4 and the width is w. What is the area of the garde
294738917263748hehejshdhf
Find the value of x and y variable in the following parallelogram
Answer:
y + 5 = 3y - 1
2y = 6, so y = 3
4x - 2 = x + 10
3x = 12, so x = 4
In 2018, Mike Krzyewski and John Calipari topped the list of highest paid college basketball coaches (Sports Illustrated website). The following sample shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division I basketball. Salary data are in millions of dollars.
University Coach's Salary University Coach's Salary
North Carolina State 2.2 Miami (FL) 1.5
Iona 0.5 Creighton 1.3
Texas A&M 2.4 Texas Tech 1.5
Oregon 2.7 South Dakota State 0.3
Iowa State 2.0 New Mexico State 0.3
a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division I basketball.
b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches.
c. What is the 95% confidence interval for the population variance?
d. What is the 95% confidence interval for the population standard deviation?
From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.
Sample:
Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3
Question a:
The mean is the sum of all values divided by the number of values. So
\(\overline{x} = \frac{2.2 + 1.5 + 0.5 + 1.3 + 2.4 + 1.5 + 2.7 + 0.3 + 2.0 + 0.3}{10} = 1.42\)
The sample mean salary is of 1.42 million.
Question b:
The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.
So
\(s = \sqrt{\frac{(2.2-1.42)^2 + (1.5-1.42)^2 + (0.5-1.42)^2 + (1.3-1.42)^2 + (2.4-1.42)^2 + (1.5-1.42)^2 + (2.7-1.42)^2 + ...}{9}} = 0.8772\)
Thus, the estimate for the population standard deviation is of 0.8772 million.
Question c:
The sample size is \(n = 10\)
The significance level is \(\alpha = 1 - 0.05 = 0.95\)
The estimate, which is the sample standard deviation, is of \(s = 0.8772\).
Now, we have to find the critical values for the Pearson distribution. They are:
\(\chi^2_{\frac{\alpha}{2},n-1} = \chi^2_{0.025,9} = 19.0228\)
\(\chi^2_{1-\frac{\alpha}{2},n-1} = \chi^2_{0.975,9} = 2.7004\)
The confidence interval for the population variance is:
\(\frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2},n-1}} < \sigma^2 < \frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2},n-1}}\)
\(\frac{9*0.8772^2}{19.0228} < \sigma^2 < \frac{9*0.8772^2}{2.7004}\)
\(0.3641 < \sigma^2 < 2.5646\)
Thus, the 95% confidence interval for the population variance is (0.3641, 2.5646)
Question d:
Standard deviation is the square root of variance, so:
\(\sqrt{0.3641} = 0.6034\)
\(\sqrt{2.5646} = 1.6014\)
The 95% confidence interval for the population standard deviation is (0.6034, 1.6014).
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each expansion represents the total number of dots in a pattern where n represents the step number select all the expressions that represent a quadratic relationship between the step number and total number of dots
The number of dots will be in each pattern in 4th step:
1. In pattern A: 16 dost
2. In pattern B: 18 dots
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
two patterns,
Pattern A:
number of dots,
step 0: 0
step 1: 4
step 2: 8
step 3: 12
So here it can be seen that,
4 dots are more in each step in compare with previous step,
So generalized expression can be written as:
Number of dots in nth step = 0 + 4n
In 4th step, there will be- 16 dots
Similarly, in Pattern B:
Number of dots in nth step = 2 + n²
In 4th step, there will be- 18 dots
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Use <,>, or = to compare the value.
0.4______ 1/4
Answer:
>
Step-by-step explanation:
Answer: >
Step-by-step explanation: Because 1/4 as a decimal is .25 and you can change the 0.4 to 0.40; they are the same thing. And .40 is greater than .25
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I need help with this one
The probability that the athletes stretches if they will have injuries is 11/57
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected outcome/Total outcome
From the table given:
Total outcome = 800
Let A be the athlete that stretches
Let B be athletes with injuries such that;
P(A | B) = P(AnB)/P(B)
P(A | B) = 55/285
P(A | B) = 11/57
Hence the probability that the athletes stretch if they will have injuries is 11/57
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What is −10 + |−4| − |−12|?
Find the additive inverse of A.
A = \(\left[\begin{array}{ccc}0&-2\\-3&-5&\\&&\end{array}\right\}\)
The additive inverse of the matrix A is \(\left[\begin{array}{cc}0&2&3&5\end{array}\right]\)
How to determine the additive inverse of the matrix?From the question, the matrix is given as
\(\left[\begin{array}{cc}0&-2&-3&-5\end{array}\right]\)
This matrix is given as matrix A
So, we have the following representation
A = \(\left[\begin{array}{cc}0&-2&-3&-5\end{array}\right]\)
Next, we calculate the required matrix operation
The matrix operation is given as additive inverse of the matrix
This additive inverse of the matrix is calculated by negating each element present in the matrix
i.e. if an element in the matrix is a, the inverse would be -a
Using the above highlights as a guide, we have the following representations
Additive inverse = \(\left[\begin{array}{cc}0&2&3&5\end{array}\right]\)
Hence, the additive inverse is \(\left[\begin{array}{cc}0&2&3&5\end{array}\right]\)
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1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.