Answer:
(10,-86)
Step-by-step explanation:
Plug in the x values to see if they equal to the y value.
-9(10)+4 = -86.
x = 10
y = -86
How many
many inches long is the base of the building in the drawing?
\( \huge \purple{\tt{Answer:}} \)
5 inches
OR15 feet
Which of the following equations is equivalent to y= -3x=4A. y= -3x + 4 B. y - 7 =3(x - 1) C. y- 10 = 3( x - 2) D. y - 10 = 3( x - 1)
Step 1
Rearrange the equation
\(\begin{gathered} y-3x=4 \\ y=4+3x \end{gathered}\)Step 2
Test all options by rearrangement
Option A
\(\begin{gathered} y=\text{ -3x +4} \\ \text{This is not equivalent to the given equation} \end{gathered}\)Option B
\(\begin{gathered} y-7=3(x-1) \\ y=3x-3+7 \\ y=3x+4 \\ y=\text{ 4 + 3x} \\ \text{Hence option B is an equivalent} \end{gathered}\)Option C
\(\begin{gathered} y-10=3(x-2) \\ y=\text{ 3x-6+10} \\ y=\text{ 3x +4} \\ y=\text{ 4+3x} \\ \text{Hence option C is equivalent} \end{gathered}\)Option D
\(\begin{gathered} y-10=3(x-1) \\ y=\text{ 3x-3+10} \\ y=\text{ 3x+7} \\ y=\text{ 7+3x} \\ \text{Hence option D is not equivalent} \end{gathered}\)Hence, the equivalent options to the equation are options B and C
Mr. Clean Plumbers charges $55 an hour plus a $75 service fee. If Nate used Mr. Clean Plumbers and
his bill was $185, how many hours did the plumbers work?
Answer:
2 hours
Step-by-step explanation:
add 55 plus 55 together then with 110 add 75 and there 185.
Sorry if this wasn't helpful. :)
Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)
The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2
where (h, k, l) represents the center of the sphere and r represents the radius.
First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:
√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]
Simplifying, we get:
√[1 + 25 + 4] = √30
Therefore, the radius of the sphere is √30.
Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30
So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
This equation represents all the points on the sphere's surface.
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F(x)=12, then x=
I need it
please help with my math
Answer:
B.) \(6^{\frac{1}{2}}\)
Step-by-step explanation:
Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\). For this problem, let
a=6
m=2
So,
\(\sqrt6=6^{\frac{1}{2}}\)
Pls help!!
RST ~ JIH find HI !!!!!!!!!!
The length of HI is given as follows:
HI = 15.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The proportional relationship for the side lengths in this problem is given as follows:
3/HI = 5/25
Applying cross multiplication, the length of HI is given as follows:
3/HI = 1/5
HI = 3 x 5
HI = 15.
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PLEASE HELP!!
Find the area of the sector.
Answer:
B.
\( \frac{275\pi}{6} {m}^{2} \)
Step-by-step explanation:
\(area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} \)
Solve Each Equation
5. -8(5+4x)=-232
6. -84=4(4r+7)
Step-by-step explanation:
5.\( - 8(5 + 4x) = - 232\)
\( - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6\)
6.\( - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7\)
Hope this helps you
The diagram shows a dilation of segment AB. Which
statements are true about the dilation? Select all that
apply
The dilation is an enlargement
The dilation is a reduction
Point O is the center of dilation.
The scale factor is 3.
The scale factor is 9.
Answer: 1, 3, 4
Step-by-step explanation:
I took the test on Edge. No brainliest needed. =)
Answer:
1,3,4
Step-by-step explanation:
Evaluate the expression for b = 5
3b + 10
Answer:
3b = 3 x 5
3 x 5 + 10 = 15 + 10 = 25
based on a normal distribution with a mean of 500 and a standard deviation of 150, the z-value for an observation of 200 is closest to:
The z-score for an observation of 200 is approximately -2.000.
Z-Value for Observation 200Here are the steps to calculate the z-score for an observation of 200 based on a normal distribution with a mean of 500 and a standard deviation of 150:
Subtract the mean (μ) from the observation (x):x - μ = 200 - 500 = -300
Divide the result from step 1 by the standard deviation (σ):-300 / 150 = -2
Round to the nearest thousandth to get the final z-score:-2 ≈ -2.000
So, the z-score for an observation of 200 is approximately -2.000.
A z-score is a measure of how many standard deviations a given value is from the mean of a dataset. It is calculated by subtracting the mean of the dataset from a given value and dividing the result by the standard deviation of the dataset.
In the case of a normal distribution with a mean of 500 and a standard deviation of 150, a z-score of -2 would indicate that an observation of 200 is 2 standard deviations below the mean. This information can be used to determine the proportion of data within the dataset that is above or below a certain value, or to make comparisons between different datasets.
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what is the probability that the number of systems sold is more than 2 standard deviations from the mean?
The probability of the number of systems sold being more than 2 standard deviations from the mean will depend on the sample size and the sample statistics.
In the event that we need to discover the probability that the number of systems sold is more than 2 standard deviations from the cruel, we ought to discover the zone beneath the typical bend past 2 standard deviations from the cruel in both headings (i.e., within the tails).
Agreeing to the observational run of the show (moreover known as the 68-95-99.7 run of the show), roughly 95% of the perceptions in a typical conveyance drop inside 2 standard deviations of the cruel. Hence, the likelihood of a perception being more than 2 standard deviations from the cruel is roughly 1 - 0.95 = 0.05.
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Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
. The distance from Santa Maria to Los Alamos is 16.25 mi. What is the distance in cm?
Answer: Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
Step-by-step explanation:
To convert miles to centimeters, we need to use the following conversion factors:
1 mile = 160,934.4 centimeters
So, to find the distance from Santa Maria to Los Alamos in centimeters, we can use the following calculation:
16.25 miles x 160,934.4 centimeters/mile = 2,612,951.6 centimeters
Therefore, the distance from Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
1 mile = 160,934 centimeters
16.25 miles = ?
16.25 * 160,934 = ?
16.25 miles = 2,615,184 centimeters
A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested. consider the following events: a. the burrito is a chicken burrito. b. the burrito is a carne asada burrito. c. the customer requested black beans. d. the customer requested pinto beans. a 6-column table has 4 rows. the first column has entries black beans, pinto beans, no beans, total. the second column is labeled fish with entries 2, 10, 36, 48. the third column is labeled carne asada with entries 5, 24, 51, 80. the fourth column is labeled vegetarian with entries 1, 8, 20, 29. the fifth column is labeled total with entries 45, 72, 123, 240. which two events are independent? a and c a and d b and c b and d
The two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
What is the independent events?Independent events are those events whose occurrences do not depend on the other events.
A burrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested.
Consider the following events:
A. The burrito is a chicken burrito.B. The burrito is a carne asada burrito. C. The customer requested black beans. D. The customer requested pinto beans.The probability of event A is,
\(P(A)=\dfrac{83}{240}\)
The probability of event B is,
\(P(B)=\dfrac{80}{240}=\dfrac{1}{3}\)
The probability of event C is,
\(P(C)=\dfrac{45}{240}=\dfrac{3}{16}\)
The probability of event D is,
\(P(A)=\dfrac{72}{240}=\dfrac{3}{10}\)
If the probability of an event is calculated given that the other is happened, only the probability of event B and D we get such that,
\(P(B\cap D)=P(B).P(D)\\\dfrac{24}{240}=\dfrac{1}{3}\times \dfrac{3}{10}\\\dfrac{1}{10}=\dfrac{1}{10}\)
Thus, the two events which are independent are the carne-asada burrito (B) and the customer requested pinto beans (D).
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Answer: D
Step-by-step explanation:
Triangle GHJ with vertices G(-2, 4), H(3, 6), and J(3, -2) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answer:
The coordinates of G' are \(G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)\).
Step-by-step explanation:
From Linear Algebra, we define the dilation of point G by the following expression:
\(G'(x,y) = O(x,y) + k\cdot [G(x,y)-O(x,y)]\) (1)
Where:
\(O(x,y)\) - Center of dilation, dimensionless.
\(k\) - Scale factor, dimensionless.
\(G(x,y)\) - Coordinates of point G, dimensionless.
\(G'(x,y)\) - Coordinates of point G', dimensionless.
If we know that \(O(x,y) = (0,0)\), \(k = \frac{1}{3}\), \(G(x,y) = (-2,4)\), then the point G' is:
\(G'(x,y) = (0,0) + \frac{1}{3}\cdot [(-2,4)-(0,0)]\)
\(G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)\)
The coordinates of G' are \(G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)\).
15% of 60 people flying on a airplane have their own headphone. How many people have their own headphones?
The number of people that have their headphone is 9.
How to find the number of people with headphones?15% of 60 people flying on a airplane have their own headphone. Therefore, the number of people that have their headphones can be calculated as follows:
According to the question, 15 percent of 60 individuals flying on a airplane have their own headphones.
Hence,
number of people that have headphones = 15% of 60
number of people that have headphones = 15 / 100 × 60
number of people that have headphones = 900 / 100
number of people that have headphones = 9 people
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HELP ASAP!!!!! i wasted 30 points because i asked this question 3 times with no answer please.
helpp please pleaseee?!!!!!!
Answer:
65%Step-by-step explanation:
I guess it is 65 because the table said so
If ΔABC≅ΔDEF, then what corresponding side is congruent to side BA? (Enter your answer using the segment letters only.)
If the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
What are congruent triangles?The dimensions of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairs of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. Triangles can satisfy a wide variety of congruence requirements.
From the ΔABC ≅ ΔDEF we observe that the corresponding segment to BA in triangle DEF is ED.
Hence, if the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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b - c - 5 is an expression or equation
Answer:
Expression.
Step-by-step explanation:
b - c - 5 is an expression because equations have equal signs while expressions don't .
I hope this helps you :D
Answer:
my mom
so ywa teheeeeeeeee
find atleast 3 solutions for the following linear equation in two variables:2x + 3y = 4
First solution :
Say, x = 0
→ 2x + 3y = 4
→ 2(0) + 3y = 4
→ 0 + 3y = 4
→ 3y = 4
→ y = 4/3
x = 0, y = 4/3Second solution :
Say, x = 1
→ 2x + 3y = 4
→ 2(1) + 3y = 4
→ 2 + 3y = 4
→ 3y = 4 - 2
→ 3y = 2
→ y = 2/3
x = 1, y = 2/3Third solution :
Say, x = 2
→ 2x + 3y = 4
→ 2(2) + 3y = 4
→ 4 + 3y = 4
→ 3y = 4 - 4
→ 3y = 0
→ y = 0 ÷ 3
→ y = 0
x = 2, y = 0What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
help. i can't find the answer anywhere and i hate doing slope
Answer:
put one point at (2, -4) and the other at (0, -1)
you can find the second point using the slope -3/2
What is the value of the difference pˆD−pˆE? Show your work.
In order to calculate the difference p^D - p^E, we need to have the actual values or expressions for p^D and p^E.
The symbol ^ typically represents a statistical estimator, which is an estimate of a population parameter based on a sample. The difference between two estimators would depend on the specific context and the calculations used to obtain those estimators.
For example, if p^D represents the proportion of successes in a sample D and p^E represents the proportion of successes in a sample E, we would need to have the sample data or additional information about the samples in order to calculate their difference.
Similarly, if p^D and p^E represent the means or any other statistical measures, we would need the actual values or equations to perform the subtraction and find their difference.
Without further information, it is not possible to determine the value of the difference p^D - p^E.
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. How many days will it take for $9500 to earn $800 at 8.25% p.a.?
It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:
Interest = Principal * Rate * Time
In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.
Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).
$800 = $9500 * 0.0825 * (t / 365)
Simplifying the equation:
800 = 9500 * 0.0825 * (t / 365)
Divide both sides by (9500 * 0.0825):
800 / (9500 * 0.0825) = t / 365
Simplify the left side:
800 / (9500 * 0.0825) ≈ 0.1083
Now, solve for t by multiplying both sides by 365:
0.1083 * 365 ≈ t
t ≈ 39.532
Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
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a quadrilateral with no piar of parallel sides
The quadrilateral with no pair of parallel sides is trapezium
Given data ,
A = a quadrilateral with no pair of parallel sides
This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.
In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
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Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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