Answers
Answer:
the slope is 1/2.
Step-by-step explanation:
6-1/0-(-10)
5/10
1/2
Related Questions
Identify whether each function is linear or exponential.
Function A:
Function C
Function D:
You have $200 in
a savings
account that
earns 1% annual
interest
b. Which function has the greatest growth factor? Justify your response.
Answers
Answer:
A)
Function A: Exponential
Function B: Linear
Function C: Exponential
Function D: Exponential
B) Function A
Step-by-step explanation:
Function A: This is exponential because- (1, 3)(2,9)(3,27)
It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.
Function B: This is linear because- (1, 64)(1, 80)(1, 96)
It is going up by 16 each time, (a constant number) which means it is linear.
Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.
Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.
The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.
Consider the following points.
(−2,−3),(3,3)
and (3,−3)
Step 1 of 2 : Determine whether or not the given points form a right triangle. If the triangle is not a right triangle, determine if it is isosceles or scalene.
Answers
The perimeter of a triangle is the sum of the lengths of its three sides.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
In the case of triangle HGI, the perimeter is calculated by adding the three side lengths together. For example, if the three sides are labeled a, b, and c, the perimeter would be calculated as a + b + c.
The perimeter of triangle HGI can be calculated by knowing the lengths of its three sides. If the lengths of the three sides are 7, 8, and 9 units respectively, the perimeter of triangle HGI is 7 + 8 + 9 = 24 units.
The perimeter of triangle HGI can also be calculated using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. Using this theorem, the lengths of the other two sides can be calculated if the length of one side and the measure of the included angle is known.
In summary, the perimeter of triangle HGI can be calculated by adding the lengths of its three sides or by using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known.
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A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answers
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
Solve 2^x-2=8^4 but not solving for x
Answers
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answers
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question
Mei runs 92.16 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day? THIS IS DUE IN 10 MINS
Answers
Step-by-step explanation:
Mei runs 6 days each week.
=> Mei runs 18 days in 3 weeks.
Since she ran 92.16 miles in 18 days,
She ran 92.16 miles / 18 days
= 5.12 miles/day.
3. Create a graph that shows three linear relationships with different y-intercepts using
the following slopes, and write an equation for each line.
Slopes:
●
5/5 5/5 115
3
y
Answers
Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.
What does line intersect?In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.
by the question.
To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.
For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:
y - 3 = 1/5(x - 2)
y - 3 = 1/5x - 2/5
y = 1/5x + 13/5
Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.
For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:
y - 2 = 3/5(x - 4)
y - 2 = 3/5x - 12/5
y = 3/5x + 8/5
Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.
For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:
y - 5 = 6/5(x + 1)
y - 5 = 6/5x + 6/5
y = 6/5x + 31/5
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1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
at 4°. Can Brooke walk out to bring the boat back without getting water over the
tops of her hip boots which are 1 m tall? Explain your reasoning.
2. are the engineer who designed a new branch for the Mountain Railroad
Company. You sent your plans calling for 100 km of track up Bixby Mountain
taking trains 99 km east of the city of Bixby, to the City Council for approval.
But before the Council got around to looking at your plans, they passed a
regulation that no railroad tracks could go up their mountain at an angle of more
than 8°. Will your plans be approved? Why or why not?
3. The residents of Quietville, a little town 9 km from the San Francisco Airport,
insist that any plane flying over their town disturbs them if it is lower than 3 km.
Will a plane that took off at a 21° angle disturb them? Why?
4. You are an air pollution inspector, checking that factories in your city have
chimneys at least 65 m tall. Standing 50 m from the Ore Smelting Company’s
chimney, you find the angle from the ground to the chimney top is 51°. Can the
company use that chimney legally? Explain.
6. River City is offering a $3 million contract to build a bridge between points A and
C on opposite sides of City River. Along the side of the river that makes a right
angle with the line of the bridge at point C, a surveyor walked 72 m to point B
where she measured the 55° angle form B to A. Long Company will build the
bridge for $3 million if it is not more than 103 m from point A to point C. Short
Company agrees to build it if it is no more the 100 m. Which contracting firm
will be awarded the contract? Why?
7. An elderly woman is trapped 17 m up in her burning home. Can a fireman reach
her on his 26 m ladder if it has to make a 43° angle in order to clear the woman’s
greenhouse under her window? Explain your reasoning.
8. A ski lift 1000 m long goes at a 29° angle up Mt. Gentleslope. Does the lift take
skiers all of the way up to the top of the mountain where there is a snack bar at
the 500 m elevation? Explain your reasoning.
9. Mr. Johnson is a jet pilot who just moved with his family to Suburbia, 26 km
from Toledo Airport. His seven-year-old son, Eric, would like to see his father’s
plane as it flies over their new home for the first time today, but there is a layer of
clouds 5 km above the house. Will Eric be able to see his Dad’s plane if it takes
off at a 9° angle? Explain.
10.You are the cost control expert for an engineering firm designing a giant
television tower having several metal braces, each built in 21 m from the base at a
73° angle with the ground. Part of your job is to decide which standard length of
metal brace wastes less metal: the brace that comes 71 m long, or the one that is
73 m long. What is your decision?
Answers
The correct responses found using trigonometric ratios are as follows;
Brooke's cannot bring the boat back without getting water over her boots.The plan will not be approvedThe plane will not disturbThe company can not use the chimney legallyThe Long company will build the bridgeThe fireman can reach her.The lift does not take the skiers up to the bar.Eric will be able to see his Dad's plane.The 73 m. braceHow can trigonometric ratios be used to find the right responses?1. The depth of the water = 15 × tan(4°) = 1.049 m
The height of Brooke's boot = 1 m
Therefore;
Brooke's cannot bring the boat back without getting water over her boots.2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°
Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;
The plan will not be approved.3. Height reached by the plane = 9 × tan(21°) = 3.455
Therefore;
The plane will not disturb.4. Height of the chimney at the factory = 50 × tan(51°) = 61.745
The minimum chimney height = 65 m.
Therefore;
The company can not use the chimney legally.6. Length of the bridge = 72 × tan(55°) ≈ 102.83
Therefore;
The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7
Therefore;
The fireman can reach her.8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8
Therefore;
The lift does not take the skiers up to the bar.9. Height reached by plane = 26 × tan(9°) ≈ 4.12
The plane flies under the cloud therefore;
Eric will be able to see his Dad's plane.10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83
Therefore;
The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.Learn more about trigonometric ratios here:
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Urgent pls hlppppp. Multiple choice. Will give brainliest
Answers
Answer:
The third option
Step-by-step explanation:
This is because you multiply the variable cost (9), by the amount they make, which is x.
are my angles correct?
Answers
Answer:
Yes. You are correct.
Step-by-step explanation:
Tan(U) = opposite / adjactent
Tan(U) = 7*√3 / 7
Tan(U) = √3
Just off the top of my head, they look right.
U = Tan-1 (√3)
U = 60
Therefore tan(W) = 90 - 60 = 30
could someone help me on this (have to turn it in by tomorrow)
Answers
Among the given options, V \(57^\circ\) is the closest estimate for the measure of the other acute angle.
What is the measure of the other acute angle?To find the measure of the other acute angle, we can use the fact that the sum of the angles of a triangle is 180°. Let x be the measure of the other acute angle. Then we have:
\(x + 32.9^\circ + 90^\circ = 180^\circ\)
Simplifying the equation, we get:
\(x = 180^\circ - 32.9^\circ - 90^\circ\)
\(x = 57.1^\circ\)
So the exact measure of the other acute angle is \(57.1^\circ.\)
Therefore, Among the given options, V \(57.1^\circ.\) is the closest estimate for the measure of the other acute angle.
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The Spanish Club has 78 members, 42 girls and 36 boys. What is the ratio of
girls to boys in the Spanish Club?
A. 6:7
B. 8:7
O C. 7:6
Answers
Answer:
C. 7:6
Step-by-step explanation:
Take your ratio 42 (G): 36 (B) and divide both numbers by six. This comes out to 7 (G): 6 (B) which is the simplest form of this ratio.
I WILL GIVE YOU BRAINLIEST 25 POINTS ASAP NO LINKS
Use the following data and graph the best-fit quadratic curve. What is a good approximation for the value of c?
A) 2
B) 1
C) 3
D) -2
Answers
Answer:
C) 3
I played a while with desmos. when I diverge from c=3 it seems impossible to fit the graph even remotely to the point, the lowest point won't fit if it isn't 3
note that it's still just the best approximation out of the 4 given options
Please gimme the variables to define the sytem and 2 system of equations
Answers
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
A tree is 12 meters tall. What is its height in feet? Use the following conversion: 1 meter is 3.3 feet.
Answers
Answer:
The tree is 396 feets height
Step-by-step explanation:
1 m = 3.3 ft
then
12 meters to feet is:
(12)*(3.3) = 396
Which equation represents a line that passes through the points (1,1) and (2,7)
Answers
Answer: y=6x-5
Step-by-step explanation:
Step-by-step explanation:
slope intercept form:y=mx+b
m= slope
b= y-intercept
use the slope formula to get the slope
y2-y1/x2-x1
7-1/2-1
6/1
6 the slope is 6
y=6x+b
plug in values from (1,1) and solve for b
1=6(1)+b
1=6+b
b=-5
y=6x-5
The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answers
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
Ayuda porfavor !!!!!!!!
Answers
Answer:
La hipotenusa del triángulo mide 5 metros, el ángulo (a) mide 53,13º y el ángulo (b) mide 36,87º.
Step-by-step explanation:
Dado que del triángulo rectángulo se conocen sus dos catetos, uno mide 4 metros y el otro 3 metros, para hallar su hipotenusa y sus ángulos interiores se deben realizar los siguientes cálculos:
4^2 + 3^2 = X^2
16 + 9 = X^2
√25 = X
5 = X
sen(a) = 4/5
(a) = 53,13º
(b) = 180 - (90º+53,13º)
(b) = 36,87º
Así, la hipotenusa del triángulo mide 5 metros, el ángulo (a) mide 53,13º y el ángulo (b) mide 36,87º.
How do you do this i cant remember i fell asleep in class
Answers
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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If x²+ y²= 80 and xy = 12, find the value of (x - y)².
Answers
\((x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56\)
We know the identity (a−b)2 =a2 −2ab+b2
Thus we have (x−y)2 =x2 −2xy+y2
Find the difference between -14w - 3 and 5w.
A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls
Answers
Answer:
c
Step-by-step explanation:
cause -14w-3-(5w)
-14w-5w-3
-19w-3
5,10,15,20,25 what is the common difference
Answers
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
When a mathematician writes QED at the end of a proof, what does this
mean?
O A. The proof cannot be completed.
OB. The proof needs more reasons.
O C. The proof is done.
O D. The proof is too long.
Answers
(C)
Step-by-step explanation:
Q.E.D means "quod erat demonstrandum" indicating that the proof is completed.
Sophia wants to buy collector boxes that can hold 6 dolls each. How many boxes will Sophia need to buy for her collection of 168 dolls?
A 21
B 28
C 34
D 1,008
Answers
Complete the calculation
5 5 5
5 + 5 + 5 = x 5 = 5 x
Answers
Answer:
29
Step-by-step explanation:
=5+5×5–1(5÷5=1)
Multiplication
=5+25–1(5×5=25)
Addition
=30–1
(25+5=30)
Subtraction
=29
(30-1=29)
Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
Answers
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
Answers
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
Properties of a Parallelogram -
Diagonals of a parallelogram bisect each other into congruent segments.
Opposite angles and sides of a parallelogram are always congruent.
Alternate interior angles are always congruent in measure.
Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)
BC ≅ AD (congruent opposite sides)
∠CAD ≅ ∠ACB (congruent angles)
∠BPC ≅ ∠APD (congruent angles)
Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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3(a – 7) = -9 + 3a.
Answers
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
A couple plan s to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.)
a) Create a probability model for the number of children they might have.
b) Find the expected number of children.
c) Find the expected number of boy s they 'll have.
Answers
Answer:
b) 1.75 c) 0.875
Step-by-step explanation:
lt is given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.
a) The possible combination for the number of children that a couple might have :
X 1st girl 1st boy, 2nd girl 1st ,2nd boys,3rd girl 1,2,3rd boys Probability- 0.5 0.25 0.125 0.125
b) Expected number of children :
1(0.5) + 2 ( 0.25 ) + 3 ( 0.125) + 3( 0.125)
= 1+ 0.75
= 1.75
c) Expected number of boys :
0 x 0.5 + 1 x 0.25 + 2 x 0.125 + 3 x 0.125
= 0.875
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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