Answer:
596
Step-by-step explanation:
I typed in 656 as the other person it was but it wasn't
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The nth term of an arithmetic series is given as:
a(n) = a(1) + (n - 1)d
The 64th term of the arithmetic sequence is 596.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
common difference = 2
The first term = 2.
We have,
29, 38, 47,.....
First term = 29
a(1) = 29
Common difference:
= 38 - 29
= 9
Now,
The nth term of an arithmetic series is given as:
a(n) = a(1) + (n - 1)d
The value of the 64th term in the arithmetic sequence.
a(64) = a(1) + (64 - ) x 9
a(64) = 29 + 63 x 9
a(64) = 29 + 567
a(64) = 596
Thus,
The 64th term of the arithmetic sequence is 596.
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Sophia is selling quarts of tomatoes at a road-side stand. The graph shows the amount Sophia earns by selling a certain number of quarts of tomatoes.
How much will Sophia earn if she sells 20
20
quarts of tomatoes?
Answer:
$80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
She gets 16.00 for every 4 quarts she sells
The dollar amount increases by 16.00 after 4 quarts
Solve for u.
-8u + 2u - -12u - 19u + -2u = 15
what does u eqaul
Answer:
-8u+2u+12u-19u-2u=15
-6u+12u-19u-2u=15
6u-19u-2u=15
-13u-2u=15
-15u^2=15
-15u^2÷ 15=15÷15
-u=1
u=-1
that's answer is u=-1
Please help! I really need help with this
Answer:
As shown in table, the probability that a person selected at random is going to city B is:
P = number of responses to city B/total number of people answered survey
= 36/100 = 0.36
Hope this helps!
:)
a pet shelter has a verity of pets for adoptions whats the probability of geting a cat or a dog. show ur work
cat: 1/4 dog 2/5
Answer:
The probablility of getting a cat is 1/4 or 25%
The probability of getting a dog is 2/5 or 40%
Step-by-step explanation:
1/4 = .25 = 25%
2/5 = .4 = 40%
At a school with 100 students, 33 were taking Arabic, 39 Bulgarian, and 40 Chinese. 14 students take only Arabic, 19 take only Bulgarian, and 21 take only Chinese. In addition, 13 are taking both Arabic and Bulgarian, some of whom also take Chinese. How many students are taking all three languages? None of these three languages?
Answer:
6 students are taking all three
20 students are taking none.
Step-by-step explanation:
Please check image attached.
From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:
a = 33 - 14 - 13 = 6
From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:
c = 39 - 19 - 13 = 7
Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:
d = 40 - 21 - 6 - 7 = 6 students
The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages
A.48
B.54
C.102
D.105
Answer:
D
Step-by-step explanation:
i did this one
Work out m and c for the line: y = 9 x − 4
Answer:
m = 9
c = -4
Step-by-step explanation:
The formula for a line is y = mx+c, where m is the gradient and c is the intercept.
here,
m = 9
c = -4
Hope this helps
good Luck
Answer:
Step-by-step explanation:
y = mx + c
y = 9x - 4
Slope m = 9
Y-intercept = -4
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:A.
Step-by-step explanation:
Because 3 + 2 is 5.
Brainliest question please help me answer this question please
Answer:
Step-by-step explanation:
The equation for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle. Here we go:
[tex](-6-(-1))^2+(-6-(-3))^2?36[/tex] . There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36. Continuing,
[tex](-6+1)^2+(-6+3)^2? 36[/tex] and
[tex](-5)^2+(-3)^2?36[/tex] and
25 + 9 ? 36
34 ? 36
We know that 34 is less than 36, so the point lies INSIDE the circle.
Answer:
a
Step-by-step explanation:
because it is in the circle
Please help me to do this I need help please help me thank you
Answer:
(This is for the pizza question)The area of the box is 900 cm, so subtract 900 cm from the area of the circle which is (3.14)[times radius which is 12(half of 24) squared] [144*3.14] So the area of the circle is 452.16 which you get from the area formula of pi times radius squared.
Step-by-step explanation:
Find the area of the box first, then subtract it by the area of the circle. (please thank me for it)
find the values of a, b, and c.
Answer:
94°, 120°, 152°
Step-by-step explanation:
78°=(b+36°)/2 ⇒ b/2=78°-18° ⇒ b/2=60° ⇒ b=120°87°=(120°+x)/2 ⇒ x/2=86°-60° ⇒ x= 52°c=360°-(120°+52°+36°)= 152°a=(152°+36°)/2=94°Which inequality is shown in the graph?
Answer: D
Step-by-step explanation:
I don’t know how to explain this to you step by step but when it comes to questions like this try to think more “logically” (if that makes sense) especially if you’re not familiar with the topic, like me. Think about it, if it was the first one the line on the graph would be above the middle line (its addition plus its greater than y so that wouldn’t be correct). Now the second one is subtraction but its less than y and everything thats coloured goes up not down so it has to be greater than y. C is not the correct answer because its a regular equation and thats not what the question wants plus its the only question out of the the 4 answers which is completely the odd one out so you can just cancel that out. Mow we come to the last answer which is the correct answer because it follows all the right “points” I mentioned earlier. I hope this makes sense to you, sorry I couldn’t explain it better!
Given that 1/f = 1/u + 1/v , express u in terms of v and f
Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)
it’s cut off but it says “about how many of them would you expect to be marked with a white dot.”
Answer:
Assuming that the person does not account for probability changes when counters are not replaced, the answer is 20 counters.
Step-by-step explanation:
Please refer to the picture above.
Disclaimer: Probability is not used to deduce the question. The knowledge of fraction is used instead to avoid excess complexity.
Assuming the number of dabbed counters follow the ratio of 1/4 as deduced from the number of dabbed counters in 200 counters, you would expect the number of dabbed counters in 80 counters to follow the same ratio of 1/4. Hence the answer is 20.
Adam baked a cake. John ate of a cake. Susan ate of what was left. How much of the original 6 1 5 1 cake was left?
Answer:
4/6 of the cake is left
Steps down below
Step-by-step explanation:
How i got the answer:
As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.
Steps:
1: Subtract the numbers so 5/6 subtract 1/6 =4/6
Answer: 4/6
Hope this helps.
Susan uses a credit card with an APR of 22.2%. What is the monthly percentage rate on the card? A. 1.255% B. 1.85% C. 2.22% D. 22.2%
Answer:
B. 1.85%
Step-by-step explanation:
The APR is the annual interest rate that the bank charges. So, to calculate the monthly percentage rate, you have to divide the APR by 12 that is the number of months in a year:
APR= 22.2%
Monthly percentage rate= 22.2%/12= 1.85%
According to this, the answer is that the monthly percentage rate on the card is 1.85%.
A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,
the function f(x) = 100(1.25)* gives the population in x months. In how many months
will the population first reach 500?
Answer: 7.2 months
Step-by-step explanation:
Hi, to answer this question we have to substitute f(x) =500 in the equation given:
f(x) = 100(1.25)^x
500= 100(1.25)^x
Solving for x (number of months)
500/100 = 1.25^x
5 = 1.25^x
log 5 =log 1.25^x
log 5 =x (log 1.25)
log 5 /log 1.25 =x
x = 7.2 months
Feel free to ask for more if needed or if you did not understand something.
Hyperbola Question:
Two neighbors who live one mile apart hear an explosion while they are talking on the telephone. One neighbor hears the explosion two seconds before the other. If sound travels at 1100 feet
per second, determine the equation of the hyperbola on which the explosion was located.
(i know the answer is
[tex] \frac{ {x}^{2} }{1210000} - \frac{y {}^{2} }{5759600} = 1[/tex]
but i don't understand how you get it)
Answer:
[tex]\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1[/tex]
Step-by-step explanation:
A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.
The definition leads to the equation
[tex]\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1[/tex]
1. Calculate the value of a²
Assume the neighbours are at the foci A and B.
The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.
Then AB = 1 mi = 5280 ft
and the distance from the focus to the y-axis is
c = 2640
The vertices are (±a,0).
The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.
The distance from A to the vertex V₁ is c - a. Then
AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280
2a = 2200
a = 1100
a² = 1 210 000
2. Calculate the value of b²
[tex]\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}[/tex]
3. Write the equation for the hyperbola
[tex]\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}[/tex]
The equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]
How to determine the equation of the hyperbolaThe equation of an hyperbola is represented as:
[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]
The given parameters are given as:
AB = 1 mile
a = 1100 feet
Express the distance AB as feet
AB = 5280 ft
So, the distance AB from the foci is:
[tex]c = \frac{AB}2[/tex]
This gives
[tex]c = \frac{5280}2[/tex]
[tex]c = 2640[/tex]
The value of b is calculated as:
[tex]a^2 + b^2 = c^2[/tex]
So, we have:
[tex]1100^2 + b^2 = 2640^2[/tex]
This gives
[tex]b^2 = 2640^2 -1100^2[/tex]
Evaluate
[tex]b^2 = 5759600[/tex]
Recall that:
[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]
So, we have:
[tex]\frac{x^2}{1100^2} -\frac{y^2}{5759600^2} = 1[/tex]
[tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]
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HELP ASAP PLEASEE!!!
What additional information do you need to prove
that AMD≈CNB by the HL Theorem?
Answer:
its C
i just took the test
AM = CN serves as additional proof that the triangles AMD and CNB are comparable according to the HL theorem.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given Two right-angle triangles whose hypotenuse is equal.
From the HL-Theorem:
According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuses and legs is congruent with its corresponding hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are congruent.
This will work with any two right triangles that have the hypotenuse and one of the legs in proportion, as our selections of right triangles and their legs were arbitrary. Thus, the HL Similarity Theorem has been demonstrated.
Therefore, The additional information to prove if Both triangle AMD and CNB are similar by the HL theorem is AM = CN.
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Write 28 as a product of its prime factors
Answer:
2*2*7
Step-by-step explanation:
28 = 2*2*7
Answer:
2 x 2 x 7
Step-by-step explanation:
Given that 3(x - 1) - 2(x - 1) = 7, the value of x is
Answer:
8
please see the attached picture for full solution
hope it helps
Good luck on your assignment
The value of x in the given algebraic expression is 12
An algebraic expression is an expression that usually comprises integers, real numbers, variables, and arithmetic operations. The purpose of the given expression is to find the value of x.
Given that:
3(x - 1) - 2(x - 1) = 7
Open the brackets;
3x - 3 - 2x - 2 = 7
Collect like terms
3x - 2x - 3 - 2 = 7
x - 5 = 7
x = 7 + 5
x = 12
Therefore, the value of x in the given algebraic expression is 12
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A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discounted price of $61.75? 0.35 0.60 0.65 0.95
Answer:
0.65 c
Step-by-step explanation:
You can multiply $0.65 by $95 to get $61.75
???? Anyone know the answer ASAP
Answer:
YES
Step-by-step explanation: I DID IT
Answer:
6 minutes
Step-by-step explanation:
First convert the hours into minutes to give you 60 minutes.
0.1 of 1 hour is also 0.1 multiplied by 1 hour, so you change the 0.1 into a fraction which is [tex]\frac{1}{10}[/tex] and multiply it with the 60 minutes
[tex]\frac{1}{10} * 60\\= 6mins[/tex]
PLEASE HELP ME I NEED HELP ASAP!!!!!!
Jade earned a 7% commission on a $500 sale of a boat. How much was her commission?
A.$535
B.$500
C.$35
D.$50
Answer:
C.$35
Step-by-step explanation:
Commission = 7% of 500
= 0.07 * 500 = $35
Tell which variable you would choose to eliminate when solving the system by elimination. Then solve the system by elimination.
2x+y=−5
Equation 1
−2x+y=8
Equation 2
Answer: 1.y= -2 2. y=2
Step-by-step explanation:
What is the value of x
Answer & Step-by-step explanation:
For this problem, we will be doing subtraction. First, we need to find the measurement of the angle beside the angle that measures 95°. We can do this by subtracting 95 from 180 because those angles are a linear pair meaning their measurements equal 180°.
180 - 95 = 85
So, the measurement of that angle is 85°. Now that we know this measurement, we can find the value of x. We can do this by adding 60 to 85 and then subtracting that sum from 180. All triangles have a total interior angle sum of 180°.
180 - (60 + 95)
180 - 155
25
So, the value of x is 25°
Answer:
35
Step-by-step explanation:
first, find the angle next to 95. subtract 95 from 180 since those two angles create a line. how you have 85. the total measure of all angles in a triangle is 180. so, 60+85+x=130. when solved, x=35 :)
Does anyone know how to find a in this please ??
Answer:
Step-by-step explanation:
180 - 67 = 113
180 - 113 - 42 = 25
α = 25º
How is the product of 2 and -5 shown on a number line?
4
3
7
2
-1 0 1
4 5 6 7 8 9 10
-10 -3 78 51
-2
-- 0 1 2 3 4 5 6 7 8 10
N
--10-9-6--6-5-4-3 -2 -1 0 1 2 3
4
$
8
8
10
-1 0 1
6 67
w
Answer:
the answer is -10
Step-by-step explanation:
2 × -5 =-10
The procedure for representing products 2 and -5 is described as follows:
Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.
What is a number line?Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever.
This refers to those as closed number lines. Number lines might be alternatively left empty or blank.
In the number line, negative numbers represent leftward distances. The product of a negative number and a positive number will be equal to the distance of the negative one by the number of times such distance is repeated.
The procedure is described as follows:
Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.
And Draw the distance of the reflection of the result found in 2.
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Tara, Brett, Kerri, and Will bought 3_4pound of raspberries. They are sharing the raspberries equally. How many pounds of raspberries will each receive? A 3 B 1/4 C 3/16 D 1/16
Answer:
C 3/16
Step-by-step explanation:
C 3/16
A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters. A cylinder is cut out of the middle of a hexagonal prism. The hexagon has an apothem with a length of 2 centimeters and base side lengths of 2.3 centimeters. The prism has a height of 2 centimeters. The cylinder has a diameter of 1.6 centimeters. The equation for the area of a regular hexagon = one-half (apothem) (perimeter). What is the volume of metal in the hex nut, to the nearest tenth? Use 3.14 for π. 21.1 cm3 23.6 cm3 27.6 cm3 31.6 cm3
Answer:
[tex]V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3[/tex]
Step-by-step explanation:
Given that:
Diameter of the cylinder: d=1.6 cm
Apothem of the hexagon: a=2 cm
Assuming the thickness of the steel hex nut: t=2 cm
Volume of metal in the hex nut: V=?
[tex]V=V_p-V_c[/tex]
[tex]\texttt {Volume of the prism}: V_p\\\\\texttt {Volume of the cylinder}: V_c[/tex]
Prism:
[tex]V_p=Ab h[/tex]
Ab=n L a / 2
Number of the sides: n=6
Side of the hexagon: L
Height of the prism: h=t=2 cm
Central angle in the hexagon: A=360°/n
A=360°/6
A=60°
[tex]\tan \frac{A}{2} =\frac{L}{2} / a[/tex]
[tex]\tan \frac{60}{2} =\frac{L}{2} / 2cm[/tex]
[tex]\tan 30 =\frac{L}{2} / 2cm[/tex]
[tex]\frac{\sqrt{3} }{3} =\frac{\frac{L}{2} }{2}[/tex]
[tex]2\frac{\sqrt{3} }{3} =\frac{L}{2}[/tex]
[tex]L=4\frac{\sqrt{3} }{3}[/tex]
[tex]Ab=n *L *\frac{a}{2}[/tex]
[tex]Ab=6(4\frac{\sqrt{3} }{3} )(2cm)/2[/tex]
[tex]=24\frac{\sqrt{3} }{3} cm^2\\\\=8\sqrt{3} cm^2[/tex]
[tex]V_p=Ab h[/tex]
[tex]=(8\sqrt{3} )cm^2(2cm)\\\\=16\sqrt{3} cm^3\\\\=16(1.732)cm^3\\\\=27.712cm^3[/tex]
Cylinder:
[tex]V_c=\pi\frac{d^2}{4} L[/tex]
π=3.14
d=1.6 cm
Height of the cylinder: h=t=2 cm
[tex]V_c=3.14\times\frac{1.6^2}{4} \times2\\\\=3.14\times\frac{2.56}{4} \times 2\\\\=2.0096\times2\\\\=4.019cm^3[/tex]
[tex]V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3[/tex]
Answer:
23.6
Step-by-step explanation:
Edge 2020
