Answer:
0 and 1
Step-by-step explanation:
So for x you plug in all the values and the one that gives you the answer 3 or less than 3 is the ones that make it true.
2.1+(.8×0)=2.1
2.1+(.8×1)=2.9
Find the equation of a line that has the same slope as y=3-7x and the same y-intercept as y= -4x – 10.
Answer: y=3x -10
slope : 3 y-int : -10
Step-by-step explanation: I believe this is the answer
What is the measure of
The measure of angle AXY based on the information will be A. 70°.
How to calculate the angle?It should be noted that the value of a right angle is equal to 90°.
In this case, we will add the angles that are given and equate them to 90°. This will be:
6x + 40 + 10 + 2x = 90°
8x + 50 = 90°
Collect like terms
8x = 90° - 50°
8x = 40°
Divide
x = 40° / 8
x = 5°
Therefore, the value of angle AXY will be:
= 6x + 40
where x = 5.
= 6(5) + 40
= 30 + 40
= 70°
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Please explain to me how to do this!
I don't have much time to get it in please help!
Answer:
y = mx + b
Step-by-step explanation:
so you first put the points on the graph and connect them with a slanted line.
Next, for your equation start of with y =
then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)
finally you write + and the y intercept (at which point the line goes through the y axis)
the equation together should look like y = slope x + y intercept
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ASK YOUR TEACHER
Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 28% answered peanut butter" find the decimal and reduced fraction of that percentage
PRACTICE ANOTHER
The decimal fraction is 0.28 and reduced fraction is 7/25.
What is fraction?In mathematics, the fraction is generally a term which define the small part of something or amount of something. A fraction has generally two parts a numerator and a denominator.
The general syntax for fraction is : \(\frac{x}{y}\)
where, x is the numerator part
y is the denominator part
The fraction has two types of notations:
Decimal notation : In the decimal notation of fraction the term is written as the decimal form of x / y. we generally try to reduce the decimal value upto the nearest tenth.Reduce notation: In the reduce notation the structure of term is x/y but in this we try to convert the fraction into smallest fraction form.In the question given,
Total number of samples = 1214
Adults who answered peanut butter = 28%
Now, the decimal fraction = 28 / 100 = 0.28
and, the reduce fraction = 28/100 = (7)(4) / (25)(4) = 7/25
Hence, The decimal fraction is 0.28 and reduced fraction is 7/25.
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Solve for u.
-2|3u| +5 > -5
The value of u is -5/3 < u < 5/3
We need to calculate the value of u
-2|3u| +5 > -5
-2(3u) + 5 > -5
-6u + 5 > -5
-6u > -10
6u < 10
3u < 5
u < 5/3
-2(-3u) + 5 > -5
6u + 5 > -5
6u > -10
3u > -5
u > -5/3
Therefore, the value of u is -5/3 < u < 5/3
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PLEASE HELP I DONT UNDERSTAND I’ll give u the brainliest thing
How do you solve quadratic equation using Completing the Square. Create your own example and state the steps.
Answer:
Now we can solve a Quadratic Equation in 5 steps:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Answer:
Example:
x^2+4x+3=0x^2+4x+4-1=0 here we add 1 to 3 and remove 1 to complete a square of (x+2) (x+2)^2 - 1=0 here we have square and 1 can be shown as 1^2using a^2-b^2= (a+b)(a-b) formula to factorize the polynomial(x+2)^2- 1^2=0(x+2+1)(x+2-1)=0(x+3)(x+1)=0x+3=0 and x+1=0now easily solved
Given h(x)=-x-4, find h (-6)
The required solution is 2.
It is required to find the value of h (-6).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Solution:
The given equation is
h(x)= -x-4
We have to find h (-6)
By put the value of x=-6 in given equation we get,
h(-6) = -(-6)-4
h(-6) = 6-4
h(-6) = 2
Hence. the required solution is 2.
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please help me in this problem for k12 on which is the correct one.
What is the vertex of the graph?
Answer:
The point (x, y) → (-5, 0) is the vertex of the graph.Step-by-step explanation:
As the given graph represents Parabola
As we know that Parabolas always contain the lowest point, or the highest point if any given parabola is upside-down. This lowest or highest point is the location where the parabola tends to change its direction and called the 'vertex'.Hence, from the given graph, we can easily determine that the parabola changes its direction at x = -5, and y = 0.
Therefore, the point (x, y) → (-5, 0) is the vertex of the graph.Solve for r in the proportion.
Answer:
r=15
Step-by-step explanation:
Cross Multiply:
10 x 6= 60 and 4 x r= 4r
Now Divide By 4 On Both Sides:
60=4r
60/4=15
Therefore, r=15
For 10 points answer please
Answer:
(x+1) (7x+8)
Step-by-step explanation:
7x2+(7+8)x+8
7x2+7x+8x+8
7x(x+1)8(x+1)
(x+1)(7x+8)
Help pls!
Which rational function has zeros at x = -1 and x = 6 ?
Answer:
\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
Step-by-step explanation:
Let's factorize the 1st option :
⇒ \(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
⇒ \(f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}\)
⇒ \(f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}\)
===============================================================
Finding the zeros :
⇒ Factors of numerator should be equated to 0
x + 1 = 0 ⇒ x = -1x - 6 = 0 ⇒ x = 6=============================================================
Solution :
\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
Answer:
first option
Step-by-step explanation:
the zeros are determined by the numerator of the rational function.
given that the zeros are x = - 1 and x = 6 , then the corresponding factors are
(x + 1) and (x - 6) , that is
(x + 1)(x - 6) ← expand using FOIL
= x² - 5x - 6
the rational function is then
f(x) = \(\frac{x^2-5x-6}{x^2-4}\)
please help ill mark brainlest
Answer:
she has 4 minutes per question
Step-by-step explanation:
60x3=180
180/45=4
Answer:
4
Step-by-step explanation:
60 min in an hour there are 3 so
60×3=180
since there are 45 questions dived by 45
180÷45=4
I really need help pls
Answer:
The answer is √ 6
Step-by-step explanation:
there is no prior information about the proportion of americans who support gun control in 2018. if we want to estimate 95% confidence interval for the true proportion of americans who support gun control in 2018 with a 0.36 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number)
Answer:
Step-by-step explanation:
To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)
p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)
E = margin of error
Substituting the values into the formula:
n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2
n = (3.8416 * 0.25) / 0.1296
n ≈ 9.6042 / 0.1296
n ≈ 74.0842
Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.
Integrals involving the product of sine and cosine. Show complete solution.
sin² 2xdx
The complete solution is:
\(\int∫sin²(2x) dx = (\frac{3}{4)}x - (\frac{1}{4})sin(2x) + C\)
How to integrate a function?We can use the identity: sin(2x) = 2sin(x)cos(x) to simplify the integrand.
\(sin^2(2x) = (sin(2x))^2\)
\(= (2sin(x)cos(x))^2\)
\(= 4sin^2(x)cos^2(x)\)
Therefore, we have:
\(\int∫sin²(2x) dx =\int ∫4sin^2(x)cos^2(x) dx\)
Next, we can use the identity: \(2cos^2(x) - 1 = cos(2x)\) to express the integrand solely in terms of sine:
\(4sin^2(x)cos^2(x)\)
= \(4sin^2(x)(1 - sin^2(x))\)
\(= 4sin^2(x) - 4sin^4(x)\)
\(= 4sin^2(x) - (1 - cos(2x))^2 / 4\)
\(= 4sin^2(x) - (1/4) + (1/2)cos(2x) - (1/4)cos^2(2x)\)
Now we can integrate term by term:
\(\int∫sin²(2x) dx = \int∫4sin^2(x)cos^2(x) dx\)
\(= 4\int∫sin^2(x)dx - \int∫(1/4)dx + \int∫(1/2)cos(2x)dx - \int∫(1/4)cos^2(2x)dx\)
We can use the identity: sin^2(x) = (1/2) - (1/2)cos(2x) to evaluate the first integral:
\(\int∫sin^2(x)dx = \int∫(1/2) - (1/2)cos(2x) dx\)
= (1/2)x - (1/4)sin(2x) + C1
The next two integrals are straightforward:
\(\int∫(1/4)dx = (1/4)x + C2\)
\(\int∫(1/2)cos(2x)dx = (1/4)sin(2x) + C3\)
For the last integral, we can use the identity: \(cos^2(2x)\) = (1/2) + (1/2)cos(4x) to simplify:
\(\int∫cos^2(2x)dx =\int ∫(1/2) + (1/2)cos(4x)dx\)
=\((1/2)x + (1/8)sin(4x) + C4\)
Putting all the pieces together, we get:
\(\int∫sin²(2x) dx = 4\int∫sin^2(x)dx - \int∫(\frac{1}{(4)}dx + \int∫(\frac{1}{(2)}cos(2x)dx - \int∫(\frac{1}{4})cos^2(2x)dx\)
= 2x - (1/2)sin(2x) + (1/4)sin(2x) + (1/8)sin(4x) - (1/4)x - (1/8)sin(4x) + C
= 2x - (1/4)x - (1/2)sin(2x) + (1/4)sin(2x)
= (3/4)x - (1/4)sin(2x) + C
Therefore, the complete solution is:
\(\int∫sin²(2x) dx = (\frac{3}{4)}x - (\frac{1}{4})sin(2x) + C\)
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Which of the following functions would be represented by a dashed line passing through the origin and (3,2) shaded above the line
Answer:
Explanation:
Generally, the slope-intercept form of the equation of a line is given as;
\(y=mx+b\)where m = the slope of the line
b = y-intercept of the line
From the question, we're told that the required line will pass through the origin and (3, 2), so we can find our slope(m) of the line using the given coordinates x1 = 0, y1 = 0, x2 = 3, and y2 = 2;
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{3-0}=\frac{2}{3}\)So the slope(m) of the line is 2/3.
Since we're told that the line will pass through the origin, it means that the y-intercept (b) = 0.
Since the gragh will be shaded above the dashed line, it means that the inequality will have a greater than sign(>).
We're told that the line will be dashed, it means that the function have only the greater than sign(>) without the equal to sign(=).
Combining all the information above, the function for the line can be
WHAT DOES B EQUAL I NEED HELP PLEASEEE
Answer:
b is 0
Step-by-step explanation:
b is just 0
Answer:
0
Step-by-step explanation:
hope this helps
Solve the right triangle, Please Do not Roundup. NEED HELP ASAP PLEASE.
The angles and length of the right triangle are as follows:
WX = 10√141 units
m∠X = 30°
m∠V = 60°
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
Trigonometric ratios can be used to find the side and angles of the right triangle as follows;
Therefore,
Using Pythagoras's theorem,
WX² = (20√47)² - (10√47)²
WX² = 400(47) - 100(47)
WX² = 18800 - 4700
WX = √14100
WX = 10√141
Let's find the angles
sin m∠X = opposite / hypotenuse
sin m∠X = 10√47 / 20√47
sin m∠X = 1 / 2
m∠X = sin⁻¹ 0.5
m∠X = 30 degrees
Therefore,
m∠V = 180 - 90 - 30
m∠V = 60 degrees
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How many solutions are there for the trigonometric equation 2cos(x/3) - 1 = 0 between 0 and 2π ?
Answer:
..................................
Triangle ABC is similar to triangle DEF. What is DE?
The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .
How to find the measure of DE ?To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.
The scale factor is:
= 31 / 8
= 3. 875
Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :
= 13. 7 x 3. 875
= 53. 09 units
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Can all problems be represented by graphs?
Answer:
depending on the size of graph
If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?
Answer:
i think it's c
Step-by-step explanation:
sorry if I'm wrong
If steak cost $10. 25 per pound, what will be the total cost of 1. 2 pounds of steak
The cost of the steak is calculated by multiplying the cost per pound by the weight in pounds. As the cost per pound is $10.25 and the weight is 1.2 pounds. The result is $12.30.
The total cost of 1.2 pounds of steak can be calculated by multiplying the cost per pound by the weight in pounds. In this case, the cost per pound is given as $10.25.
To find the total cost, we need to multiply the cost per pound by the weight in pounds:
$10.25/pound * 1.2 pounds = $<<10.25*1.2=12.3>>12.30
Therefore, the total cost of 1.2 pounds of steak will be $12.30.
Please note that the cost of the steak is calculated by multiplying the cost per pound by the weight in pounds. In this case, the cost per pound is $10.25 and the weight is 1.2 pounds. The result is $12.30.
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The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
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Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.
What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.To learn more about arithmetic sequences refer to :
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Janelle expanded the Expression as shown below what errors did she make select 3 options
Given:
\(-4(-3x+\frac{2}{7})=-12x-3\frac{5}{7}\)Correct answer is
\(-4(-3x+\frac{2}{7})=12x-1\frac{1}{7}\)Final options are:
The first term should be positive.
She did not distribute the -4 properly.
\(\text{She added }\frac{2}{7}\text{ to -4 instead of multiplying }\frac{2}{7}\text{ by -4.}\)1) a man flies a kite at a height of 120 m. the wind carries the kite horizontally away from him at a rate of 6 m/sec. how fast is the distance between the man and the kite changing when the kite is 130 m away from him?
So, on solving the provided question, we can say that, here by differential equations So, 2(400)(25) = 2(500)(dy/dt) => \(dy/dt = 20 ft/sec\)
What is differential equation?
Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same.
Let x be the girl's distance from the kite at time t and y be the length of the string at that same moment.
The right triangle at time t has a hypotenuse of length y, a hypotenuse of length 300, and a hypotenuse of length x.
\(dx/dt = 25\)
By the Pythagorean Theorem,
\(x2 + 3002 = y2\)
\(2x(dx/dt) = 2y(dy/dt)\)
Since \(x2 + 3002 = y2 and y = 500, x = 400\)
So, 2(400)(25) = 2(500)(dy/dt)
\(dy/dt = 20 ft/sec\)
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When multiplying or dividing integers,if you an even amount of negatives in the promblem ,your answer will be negative true or false?
Answer:
False
Step-by-step explanation:
Two negatives make a positive. Negative times negative is positive as negative times negative is positive
which is the simplest form of the expresson...