The slope to x axis (-2,0) and y axis (0,-1) is :
Slope = -1/2
What is slope?The slope is referred to as the ratio of both the vertical change between two points, known as the rise, to the horizontal change between those same two points, known as the run.The steepness of a line is described by its slope. Any line's slope remains constant along its length. The slope can also show the direction of line upon that coordinate plane. Slope can be calculated by looking at a line graph or using the coordinates of just about any two points on a line.Given two coordinates ( -2 , 0) (0 , -1)
Slope = Δy / Δx
= y2 - y1 / x2 - x1
= -1 - 0 / 0 -(-2)
= -1 / 2
Therefore slope = -1/2 .
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Which of the following equations is not a proportion?
A. 2/3 = 142/213
B. 22/33 = 4/6
C. 14/7 = 7/3.5
D. 1.5/3 = 3/9
Answer:
both of the people above me are wrong, its
22/33=4/6
Step-by-step explanation:
(22/33)=(4/6) is the following equations are not a proportion. Option B is correct.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
The two numbers in ratio in numerator and denominator is divided by the same number and obtained as the whole number as;
\(\rm \frac{a}{b} = \frac{2 \times a}{2 \times b}\)
(22/33)=(4/6) is the following equations are not a proportion.
Hence, option B is correct.
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Describe a series of transformations that moves the blue figure to the red figure Be specific! If there is a : Translation - show number and direction Reflection - give axis of reflection Rotation - give direction (clockwise or counterclockwise) and degree amount
The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).
Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))
Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))
Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))
The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).
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Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (4, 3).
I don't understand can someone help please
Answer:
\(y=5(x-3)^2+2\)
Step-by-step explanation:
\(y=a(x-h)^2+k\\y=a(x-3)^2-2\\\\3=a(4-3)^2-2\\3=a(1)^2-2\\3=a-2\\5=a\\\\y=5(x-3)^2+2\)
By using the vertex form of a parabola, we were able to plug in the vertex (h,k)=(3,-2) and then eventually our point (x,y)=(4,3) to solve for "a" to get the final function.
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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middle school problems and i need help
Answer:
A. 47%
Step-by-step explanation:
The total amount of people who preferred indoor seating was 70. The total amount of people sureveyed was 148. So 70 divided by 148, or 70/148, is
0.47 =47%
I need help with number 14, 16 and 18
Answer:
14: 49 units
16: 44 units
18: 28 units
Step-by-step explanation:
14) Just subtract 64-15
16) Add 9+35 (the sign won't matter cus its just distance)
18) 35-7 gives u 28
Hope this helps!! :))
Find for x HELPPPP MEEEEEE
Answer:
3
Step-by-step explanation:
(x + 1) : (3x + 1) = 8 : 20
20(x + 1) = 8(3x + 1)
20x + 20 = 24x + 8
12 = 4x
x = 3
obtuse is to more than 90° as reflex is to
9514 1404 393
Answer:
>180° (more than 180°)
Step-by-step explanation:
Angles are classified as ...
acute: < 90°right: = 90°obtuse: > 90°straight/linear: = 180°reflex: > 180°It seems that we're looking at definitions:
obtuse : >90° :: reflex : >180°
simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)
Answer:
4x/7 - 143/56
Step-by-step explanation:
WILL GIVE BRAINLIEST
For what values of k will each relation not be a function A={(k^2,16),(4k,32)}
Answer: 0, 4
Step-by-step explanation:
If your customers are satisfied 11 out of 15 times how many are satisfied If 350 people come in on Black Friday
Answer:
257 people are satisfied
Step-by-step explanation:
11/15 is the fraction that are satisfied
11/15 * 350 =256.6(repeating)
Rounding to the nearest whole person
257 people are satisfied
Which equation can generate 51?
F(x) = 5+ 3x
T(n) = 5 + 3n
Neither
Both
The equation that can generate 51 is: Both.
How can the result of 51 be obtained?The only way to obtain the result of 51 in this equation is by assigning values to x and n. When left like this, it will be difficult to arrive at a value. However, if a value is assigned to x and n, in this instance, then it will be possible to solve for the values.
The value in this case that can be plugged into the respective letters is 15.33. So, if x and n are given the values 15.33, then it will be easy to generate 51.
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Simplify: 100 - 17y = 258 - 6y
Answer:
\(y = -14 \frac{4}{11} \)
Step-by-step explanation:
\(100 - 17y = 258 - 6y \\ \\Bring \: like \: terms \: together. \\ 6y - 17y = 258 - 100 \\ -11y = 158 \\ y = 158/(-11) \\y = -14 \frac{4}{11} \)
Two lines that have the same y-intercept and the same slope intersect at exactly one point
The given statement is false. Twο lines that have the same y-intercept and the same slοpe are parallel lines, which means they will never intersect.
This statement is false.
What is slοpe?Slοpe is a measure οf the steepness οf a line. It is defined as the change in y-cοοrdinate divided by the change in x-cοοrdinate between any twο pοints οn the line.
Twο lines that have the same y-intercept and the same slοpe are parallel lines, which means they will never intersect. They may have infinitely many pοints in cοmmοn but will nοt intersect at a single pοint.
If twο lines have the same y-intercept but different slοpes, they will intersect at exactly οne pοint. If twο lines have the same slοpe but different y-intercepts, they will alsο intersect at exactly οne pοint.
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Complete Question;
Two lines that have the same y intercept and different slopes intersect at exactly one point.
True\False
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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Please explain your answer to the question in the picture with steps.
The angles are supplementary angles determine the measures of each
Answer:
Step-by-step explanation:
The angles are supplementary, so they add to 180.
x + (6x -2 ) = 180
7x = 182
x = 182/7 = 26 = m∠2
6(26) - 2 = 154 = m∠1
answer a) and b) please
a : 10<x<=20
b: 20<x<=30
What’s the correct answer for this?
Answer:
its 7.5
Step-by-step explanation: subscribe when i have channel set
Answer:
D. = 8.1
Step-by-step explanation:
In the attached file
Gautam is listening to a song.
Laila peeled the potatoes.
You should help a friend in need.
John always does what he is told.
The Princess wanted to lie on a soft be
os
-ing
Answer:
Okay????
What is that is that even a question?
Thanks for the free points. Have a great day!
For a project in his Geometry class, Amadou uses a mirror on the ground to measure the height of his school building. He walks a distance of 11.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 1.05 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The height of the school is 13.27 m.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have.
From the information given, we can draw the figure given below,
Now,
Triangle ABC and Triangle DCE are similar.
So,
x / 1.25 = 11.15 / 1.05
x = (11.15 x 1.25) / 1.05
x = 13.27 m
Thus,
The height of the school is 13.27 m.
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Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
Let i be the imaginary number √-1. Determine whether the expression a+bi, where a and b are real numbers, represents a real number or a non-real complex number for each case below. Select Real Number or Non-Real Complex number for each case.
Case 1: a = 0; b = 0 --> Real Number
Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number
Case 3: a ≠ 0; b = 0 --> Real Number
Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number
Understanding Complex NumberFor each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.
Case 1: a = 0; b = 0
In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.
Case 2: a = 0; b ≠ 0
Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.
Case 3: a ≠ 0; b = 0
In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.
Case 4: a ≠ 0; b ≠ 0
Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.
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Find the volume of the ice cream shown below. Use 3.14 for π Round all answers to 1 decimal place.
Volume of the top solid: _______
Volume of the bottom solid: _________
Volume of the entire toy: __________
The combined volume of the cone and hemisphere is 5.23in³
What is Volume of FigureTo calculate the volume of the figure, we have to calculate the volume of the hemisphere and volume of the cone.
The formula of volume of cone;
v = 1/3πr²h
v = 1/3 * π * 1² * 3
v = π
v = 3.14 in³
The formula of the volume of hemisphere is given as;
v = 2/3 πr³
v = 2/3 * π * 1³
v = 2/3π
v = 2.093 in³
The volume of figure = volume of hemisphere + volume of cone
The volume of figure = 3.14 + 2.093
the volume of figure = 5.23in³
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Which is the best first step when solving the following system of equations? x + y = 3. 4 x minus y = 7. Multiply the first equation by 4. Add the first equation to the second equation. Multiply the second equation by Negative 1. Subtract the second equation from the first equation.
Answer:
Multiply the first equation by 4.
Step-by-step explanation:
4(x+y=3) which gives
4x+4y=12
and
4x-y=7
Then subtract the two equations and the x variable will be eliminated.
Answer:
The other guy is wrong its c
Step-by-step explanation:
What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile
Answer:
$13.70
Step-by-step explanation:
y=2.80x+2.50
=2.8*4+2.5
=13.7
Answer: $13.70
Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.
What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?
A.(-9,-4)
B. (4,-9)
C. (9,-4)
D. (9,4)
Answer:
(9,-4)
Step-by-step explanation:
its right hope it's helpful
what is 4/11 as a deimal
Answer:
0.36363636363636 or 0.36
Step-by-step explanation:
hope this helps
Can you mark me as branliest please!!
A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second population revealed X2 to be 110. Use the .05 significance level to test the hypothesis. a. State the decision rule. b. Compute the pooled proportion. c. Compute the value of the test statistic. d. What is your decision regarding the null hypothesis?
Answer:
a. If the P-value is smaller than the significance level, the null hypothesis is rejected.
b. Pooled proportion = 0.8
c. z = 2.7
d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.
There is enough evidence to support the claim that the proportions differ significantly.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.
The claim is that the proportions differ significantly.
Then, the null and alternative hypothesis are:
\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)
The significance level is 0.05.
The sample 1, of size n1=200 has a proportion of p1=0.85.
\(p_1=X_1/n_1=170/200=0.85\)
The sample 2, of size n2=150 has a proportion of p2=0.7333.
\(p_2=X_2/n_2=110/150=0.7333\)
The difference between proportions is (p1-p2)=0.1167.
\(p_d=p_1-p_2=0.85-0.7333=0.1167\)
The pooled proportion, needed to calculate the standard error, is:
\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8\)
The estimated standard error of the difference between means is computed using the formula:
\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7\)
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
\(P-value=2\cdot P(z>2.7)=0.0072\)
As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportions differ significantly.
Fill in the blanks using the following choices: reject, fail to reject, sufficient, enough, not sufficient, not enough If the p value is 0.32 to test if there is a difference exists between the proportion of students who have ear infections at one school and the other, your decision is to the null and the conclusion: There is evidence to support the alternative that the proportion of students who have ear infections at one school and the other are different.
Answer:
FAIL TO REJECT
NOT ENOUGH
Step-by-step explanation:
Given a Pvalue of 0.32
Decision region :
When Pvalue < α ; Reject the Null and conclude that there is significant or enough evidence to accept the alternative hypothesis.
Otherwise, fail to reject reject the null and conclude that, there is not enough evidence to accept the alternative hypothesis
Therefore, for the scenario above, where Pvalue = 0.32
Possible α values are ; 0.1, 0.05, 0.01
For all α - values listed, the Pvalue is greater than α
Pvalue > α ; Hence, FAIL TO REJECT the Null.
Conclusion :
There is NOT ENOUGH evidence to support the alternative that the proportion of students who have ear infection at one school and the other is different.