a = 13. b^0 = 1, y=a(1), 13 = a 325 = 13(b)^2 b^2 = 325/13 = 25
b = sqr25 = 5 y=13(5)^x is the exponential equation going through the two given points
What is Exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a. If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential. In quadratic equations, your functions were always to the 2nd power. In exponential functions, the exponent is a variableTo learn more about Exponential function refers to:
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Choose the values of a and b that represent the factored form of w2 – 11w + 18.
w2 – 11w + 18 = (w – a)(w – b)
a =
b =
a = 2
b = 9
........................
Answer:
a=2 b=9
Step-by-step explanation:
w^2-11w+18=0
w^2-9w-2w+18=0
w(w-9)-2(w-9)=0
w=2 or w=9
Therefore a=2 and b=9
What is the name of a 3 4 5 triangle?
The right angle triangle is the name of the 3, 4, and 5 triangles.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.
The formula states that in a right triangle:
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
The three numbers which satisfy the above formula are the Pythagorean triplets
Properties of right angle:
The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.
The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.
consider c=5 a=3, b=4 substitute in above formula:
5²=3²+4²
⇒25=9+16
⇒25=25
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Kate is putting mulch down in her circular shaped garden. The garden has a radius of 12 feet. How much mulch does she need?
Kate needs to buy 453.6 ft2 of mulch for her 12 ft radius garden, which is equal to 76.3 cubic feet when multiplied by the desired depth.
Kate needs to purchase 453.6 cubic feet of mulch for her garden. To figure this out, she needs to first calculate the area of her garden using the formula A = πr2, where A is the area of the garden and r is the radius. In this case, the area of Kate’s garden is 453.6 ft2. For example, if she wants to put down 2 inches of mulch, she would need to purchase 453.6 ft2 x 0.167 ft = 76.3 cubic feet. This calculation can be adjusted depending on the depth of mulch desired. For example, if Kate wants to put down 3 inches of mulch, she would need to purchase
453.6 ft2 x 0.25 ft = 113.4 cubic feet
A = πr2
A = π(12)2
A = 453.6 ft2
Mulch = A x depth
Mulch = 453.6 ft2 x 0.167 ft
Mulch = 76.3 cubic feet
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At an arts festival, Jamal, a camp counselor, bought food tickets for his hungry campers. The campers can use them to get hot dogs, which cost 4 tickets apiece, and burgers, which cost 5 tickets apiece. In total, the campers can use up to 21 tickets, which is how many Jamal bought. Write an Inequality that best describe this situation
Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21
What isan Inequality?Jamal, a camp counsellor, purchased meal tickets at an arts festival for his ravenous kids. The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.
A camp counsellor purchased meal tickets at an arts festival for her ravenous kids.
The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.
Let x be the number of hot dogs and y be the number of burgers. In all, campers are allowed to utilise up to 21 tickets.
Thus, inequality in its most basic form explains this circumstance.
= 5x + 4y ≤ 21
Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21
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Please sum 1 help mee
Answer:
Step-by-step explanation:
the green cylinder is 20[tex]\pi[/tex]
while the purple cone is 18[tex]\pi[/tex]
which do you think is more ? :)
Answer:
the cylinder
Step-by-step explanation:
it is easier to use a calculator to calculate these.
the cone is 56.55 and the cylinder is 62.83
Can you help me with this
A painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%. By what percent is the new frame bigger than the original frame if the width of the frame remains the same?
PLEASE HELP
The percent that the new frame is bigger than the original frame if the width of the frame remains the same is 9.1%.
How to illustrate the percentage?From the information, the painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%.
Let the length be Illustrated as 10cm.
Width = 10% × 10cm
= 1cm
New Length = 10cm + (10% × 10cm)
= 11cm
The old perimeter will be:
= 2(1 + 10)
= 22cm
New perimeter will be:
= 2(1 + 11)
= 24cm
The percentage increase will be:
= (24 - 22) / 22 × 100
= 2/22 × 100
= 9.1%
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can someone please give me the answer to #1
Answer:
x: -8, 0, 8, 16, 24
y: -8, -5, -2, 1, 4
Step-by-step explanation:
For the X values, it is going up by 8.
For the Y values, plug in the X value into the equation.
A blood bank needs 15 people to help with a blood drive. 20 people have volunteered. Find how many different groups of 15 can be formed from the 20 volunteers.
Answer:
15,504 different groups
Step-by-step explanation:
Answer: if they only have 20 patients then there can only be 1 group of 15 people! hope this helps
Step-by-step explanation:
What is the shape with 3 sides and 3 right angles?
There is no shape with exact 3 sides and 3 right angles.
The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.
A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.
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Given a scale factor of 23
and the coordinates of an image after a dilation using (0, 0) as the center of dilation, determine the coordinates of the pre-image. Fill in the blanks for the missing x and y values.
pre-image image
A (0, 3) A' (0, )
B (-6 , ) B' (-4, 8)
C ( 9, 0) C' ( , 0)
Answer:
scale factor(k)=23
A(x,y)=A'(kx,ky)
Let's do by using this formula
C(9,0)=C'(kx,ky)(here x=9 and y=0)
C(9,0)=(23*9,23*0)
C(9,0)=(207,0)
A(0,3)=A'(kx,ky)(here x=0 and y=3)
A(0,3)=A'(23*0,23*3)
A(0,3)=A'(0,69)
Step-by-step explanation:
sorry i dont know how to do B no
A rectangle has length x and width x - 3. The area of
the rectangle is 10 square meters.
Complete the work to find the dimensions of the
rectangle
Х
x(x - 3) = 10
x? - 3x = 10
x2 - 3x - 10 = 10 - 10
10 m2
X-3
(x + 2)(x - 5) = 0
What are the width and length of the rectangle?
O The width is 1 meter and the length is 10 meters.
O The width is 10 meters and the length is 1 meter.
The width is 2 meters and the length is 5 meters.
The width is 5 meters and the length is 2 meters.
The equation for dimensions of the rectangle is x(x - 3) = 10 and the width is 2 meters and the length is 5 meters.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
x(x-3)=10
x²-3x=10
x²-3x-10=0
x²-5x+2x-10=0
(x-5)(x+2)=0
x=-2,5
x=5 units
x-3=5-2
=2 units
The rectangle's dimensions are x(x - 3) = 10, with a width of 2 meters and a length of 5 meters.
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The first sequence rule is multiply by 3 starting from 4. The second sequence rule is add 8 starting from 20. What is the first number that appears in both sequences?
12
20
28
36
Answer:
36
Step-by-step explanation:
I thought I just answered that one.
the first sequence had only numbers that can be divided by 3.
so, what is the first number of the second sequence that can also be divided by 3 ?
36 - it fits both.
I need help with #10
Answer:
D.
Step-by-step explanation:
this seems to be the line of best fit as it is centered in the data.
hope this helps!!
The net best represents which of the solids?
Answer:
Where is the picture for the question?
Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
What is the value of (3/10)3
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.
[tex]\frac{3}{10}(3)[/tex]
In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.
[tex]\frac{3*3}{10}[/tex]
Simplify,
[tex]\frac{9}{10}[/tex]
A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
Answer:
9/10
Step-by-step explanation:
took test
John and Wesley both work for telephone companies installing internet connections into new homes, but they do not work for the same company. John's paycheck at the end of the month includes his base pay of $2,000 and his commission of $65. 25 for each installation he makes that month. Wesley is paid $380 plus a commission of $105. 75 for each installation he makes each month. In September of last year, they both made the same number of installations and they both earned the same amount of money
The number of installations in September were forty that lead to John and Wesley earning same amount of money.
Let the number of installations be x. The equation of be formed for each paycheck will be -
Total paycheck = base pay + number of installations × comission on each installation
The total paycheck and number of installations is same. So equating the equations by keeping x.
2000 + 65.25x = 380 + 105.75x
Rewriting the equation -
105.75x - 65.25x = 2000 - 380
Performing subtraction on each side of the equation
40.5x = 1620
x = 1620/40.5
Performing division on Right Hand Side of the equation
x = 40
There were 40 installations.
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what are the coordinates of the center of the center and the length of the radius of the circle whose equation is x^2 y^2
The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.
What is circle?A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.
Here,
x²+6x+9-9+y²-4y+4-4=23
(x+3)²-9+(y-2)²-4=23
(x+3)²+(y-2)²=36
(x+3)²+(y-2)²=6²
center=(-3,2)
radius=6
The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.
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Simplify the following polynomial, then evaluate for x = -2
2x2 - 4x + 3x2 + x - 7
Answer:
[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]
7
choose the correct answer *
(2 Points)
When Khadija stands at a distance of 18 m from the base of a tree, she forms
an angle of 57° with the top of the tree. What is the height of the tree to the
nearest tenth?
A 27.7 m
B 28.5 m
C 29.2 m
D 301 m
Jeruto was born when her mother was twenty seven years old and her father thirty years old. After how many years will the mean age of jeruto and her parents be in twentysix years
Answer: 7 years
Step-by-step explanation:
Let the number of years be x. Therefore, their ages in x years will be:
Daughter = x
Mother = 27+x
Father = 30+x
Their mean age will then be:
[x + (27+x) + (30+x)]/3 = 26
(3x + 57) / 3 = 26
Cross multiply
3x + 57 = 26 × 3
3x + 57 = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7
Therefore, the answer will be 7 years
Check: Daughter = x = 7 years
Mother = 27+x= 27+7 = 34 years
Father = 30+x = 30 + 7 = 37 years
Mean= (7+34+37) / 3 = 78/3 = 26 years
can anyone help?? I’ll give brainliest! :)
Answer:
Step-by-step explanation:
I believe the answer is
C) Laura mixed more vinegar per cup of olive oil, because 3:1 is greater than 4:2
Per 1 cup, Laura has 3 tbsp of vinegar, but Juliette only has 2 tbsp per cup.
It wouldn't be D) because 3 tbsps aren't bigger than 2 cups....
*****50 POINTSSSS*****
In the figure, quadrilateral GERA is inscribed in circle P. Line TA is tangent to circle P at A, m∠REG = 78°, the measure of arc AR = 46°, and segment ER ≅ segment GA. Find each of the following measures.
m∠GAR =
m∠TAR =
measure of arc GE =
measure of arc AG =
m∠GAN =
measure of arc RE =
Answer:
Givenm∠REG = 78°mAR = 46°ER ≅ GASolutionm∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)m∠TAR = 1/2mAR = 1/2(46°) = 23° (tangent chord angle is half the size of intercepted arc)m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)mAG = 2m∠GAN = 2(55°) = 110°mRE = mAG = 110° (as ER ≅ GA)mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)Select the correct answer.
Which statement describes the effect of taxes on a traditional IRA retirement account?
Ο Α.
A traditional IRA Is tax exempt because the income earned is never taxed.
OB. A traditional IRA is tax deferred because the income earned isn't taxed until the money is withdrawn.
OC. A traditional IRA is tax exempt because the income earned Isn't taxed until the money is withdrawn.
OD
A traditional IRA is a taxable account because the income earned Is taxed when it is contributed.
Answer:
C.
A traditional 401(k) is tax deferred because the income earned isn't taxed until the money is withdrawn.
Explanation:
There are two types of 401 k plans: traditional 401k and Roth 401k plans. The difference is the way there are taxed.
The traditional 401k plan is an employer-sponsored retirement scheme. The employer withholds the employee contributions and remits the funds to the employee's 401k savings account. The amount deducted as the employee contribution is not subject to taxation at that point. Contributions to 401k plans reduce the employee's taxable income.
The amounts saved in a 401k plan are invested and generate income. Employees are not expected to pay taxes on the income generated every financial period. All taxes are deferred until the time of withdrawal.
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
48
39
57
Answer:
39
Step-by-step explanation:
Luc is investigating dilations of scale factor 2 of the line y = -4x +3. He claims that for some centers of dilation, the line will remain the same. Which centers of dilation could be used to support Luc's claim? Select ALL that apply.
Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.
To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.
For the origin (0, 0):
Point A: (x, y) = (0, 3)
Point B: (x, y) = (-4, -3)
Dilated Point A: (x, y) = (0, 6)
Dilated Point B: (x, y) = (-8, -6)
Equation of the dilated line: y = -4x + 6
This shows that the line is dilated with scale factor 2, but is the same line.
For the point (3, -4):
Point A: (x, y) = (3, -1)
Point B: (x, y) = (-1, -7)
Dilated Point A: (x, y) = (6, -2)
Dilated Point B: (x, y) = (-2, -14)
Equation of the dilated line: y = -4x + 3
This shows that the line is dilated with scale factor 2, but is the same line.
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If P(7,5) and P'(2,8), then the rule for translation is T(x,y)=(x-?, y+?).
Answer:
Step-by-step explanation:
Answer: x is -5 and y is +3
Step-by-step explanation:
yes
lay a game of rolling a 6-side dice: for each roll, you can get the face value or reroll it, and you can roll it three times at most. Suppose you are a rational person, how munch would you pay for this game
The probability that at least one 6 will occur on two dice is 30.5%.
What is the probability of scoring 6?To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Using the concept of likelihood and probability ,The probability that at least one 6 will occur on two dice is 30.5%.
What is probability?Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur. For example, the probability of flipping a fair coin and it landing on heads is 0.5, or 50%. Probability is used in many fields, including mathematics, statistics, finance, and science. In statistics, probability is used to make inferences about a population based on a sample, while in finance, probability is used to evaluate the potential outcomes of investments.
What is conditional probability?Conditional probability is the probability of an event occurring given that another event has already occurred. It is written as P(A|B), which is read as "the probability of A given B." For example, the probability of rolling a 6 on a fair die given that the roll is an even number would be P(6|even) = 1/3, because there is only one way to roll a 6 out of the 3 possible even numbers (2, 4, 6).
1, 2, and 3 are the six factors. Four of the results of a single die's six possible outcomes are multiples of 6. It follows that 4/6 is the probability.
11.5%, or slightly less than 33.3% (2/6), out of 36 occasions. The probability that at least one 6 will occur on two dice is 30.5%. Without using the picture, one can also calculate this number mathematically.
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Please help with this I really mean it because if its wrong I fail
Answer:
16 is the correct answer