Let's assume the unknown number is x and as another one is 5 times the number then second number is 5x
》x × 5x = 245
》5x square =245
》x square =245÷5
》x square =49
》x=7
So 5x = 5×7=35
Which of the following describes the parabola with the equation y=-x^2-3x+6
Step-by-step explanation:
use photomath for math problems and it give you step by step
Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.
Equation of the parabola given in the question is,
y = -x² - 3x + 6
Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]
y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6
= -(x + 1.5)²+ (1.5)² + 6
= -(x + 1.5)² + 2.25 + 6
= -(x + 1.5)² + 8.25
From this equation vertex of the parabola will be (-1.5, 8.25).
Leading coefficient 'a' = -1 (negative)
y - intercept of the equation → y = -(0 - 1.5)² + 8.25
y = 6
x- intercept of the equation → 0 = -(x - 1.5)² + 8.25
(x - 1.5) = √8.25
x = 1.372, -4.372
Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).
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help and fast do them all there are 3 if u dont i will report u if u only did one bc that will not be helping :/
Answer:
1. How many hours do the students in this class sleep each night
How many letters are in the first name of each person in this class
2. How many marbles are in the jar on the teacher's desk
3. How tall are the sixth grade students in your school
How many pull-ups can each student in your class do
How many students were absent from Mrs. Jenssen's class today
What was the temperature at 4pm each day this week
Step-by-step explanation:
How many seconds there are per second
There is approximately 1 second per second
You’re welcome
Approximately one
Per one
In 35 ÷ 7 =6 5, 5 is the
Quotient
Divisor
Divided
Answer:
Quotient
Step-by-step explanation:
The quotient is the answer of the division equation.
answer:
quotient
Step-by-step explanation:
quotient is the answer to a division problem
based on the sample results about what percent of the population prefers reading a hardcopy?
Answer:
about [tex]84\%[/tex]
Step-by-step explanation:
From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.
The sample size is n=25.
The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]
We simplify this to get:
[tex]=21\times 4\%[/tex]
[tex]=84\%[/tex]
84%
Step-by-step expl
The endpoints of segment PQ are P(-3,1) and Q(4,25) find the length of the segment PQ
PQ^2=(X2-X1)+(Y2-Y1)^2
PQ^2=(4+3)^2+(25-1)^2
PQ^2=625
PQ=25 unit
The length of the segment PQ is 25 units.
How to find the distance between two points?It can be calculated by using the distance formula.Distance formula consists of the coordinates of points on the graph.
Given: Segment PQ
P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)
We have to find the length of the segment PQ.
Length of the segment PQ can be found by using the distance formula.
⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]
⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]
⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]
⇒ PQ = [tex]\sqrt{49+576}[/tex]
⇒ PQ = [tex]\sqrt{625}[/tex]
⇒ PQ = 25 units
Therefore, the length of the segment PQ is 25 units.
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Solve 63 minus X equals 62 for x
Answer:
x=1
Step-by-step explanation:
This stuff is quite easy in reality. Here's a little example including your numbers.
[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]
by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1
Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year. WILL GIVE BRAINLIEST FOR ALL ANSWERS TONIGHT!!!!!
Answer:
$290.00
Step-by-step explanation:
The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.
Hope this helps! :)
Which function is linear? A) f(x) = 8x2 + 2 B) f(x) = 8 x + 2 C) f(x) = 8x2 − 2 D) f(x) = x 8 − 2
Answer with Step-by-step explanation:
A linear function is of the form ax+b
A) f(x) = 8x² + 2
The above expression is not of the form ax+b
hence, it is not linear
B) f(x) = 8 x + 2
The above expression is of the form ax+b
hence, it is linear
C) f(x) = 8x² − 2
The above expression is not of the form ax+b
hence, it is not linear
D) f(x) = [tex]x^8-2[/tex]
The above expression is not of the form ax+b
hence, it is not linear
Hence, function which is linear is:
B) f(x) = 8 x + 2
Answer:
B)
Step-by-step explanation:
Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.
A runner passes the 12-mi point after 2 hours and reaches the 15-mi point 30 minutes later. Assuming a constant rate, find the speed of the runner.
Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
Which of these is 3% equivalent to?
the answer would be 0.03%
The number that is equivalent of 3% is 0.03
How to determine the equivalent of 3%From the question, we have the following parameters that can be used in our computation:
Number = 3%
Express the percentage as division
So, we have
Number = 3/100
When the division is evaluated, we have the following
Number = 0.03
Hence, the equivalent of 3% is 0.03
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Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3
Answer:
Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]
Step-by-step explanation:
A quadratic function has the form:
[tex]f(x)=ax^2+bx+c[/tex]
(Where [tex]a\neq0[/tex])
You can observe that the highest exponent of a quadratic function is 2.
Then, let's check which of the options shows a quadratic function:
1) [tex]f(x) = 2x^3 + 2x^2 - 4[/tex]
Its highest exponent is 3, then this is not a quadratic function.
2) [tex]f(x) =-7x^2 -x + 2 [/tex]
Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.
3) [tex]f(x) = -3x + 2[/tex]
Its highest exponent is 1, then this is not a quadratic function.
4) [tex]f(x) =0x^2+3x-3[/tex]
You can observe that [tex]a=0[/tex], then this is not a quadratic function.
Answer:
B. f(x) = –7x2 – x + 2
Step-by-step explanation:
the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !
What is 2.685 in word form?
Answer: two point six eight five
Step-by-step explanation:
Answer: two and six hundred and eighty five thousands
Sqrt2y-5+8=4 what Is the root
Answer:
The root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.
Step-by-step explanation:
Given that,
[tex]\sqrt{2y-5} +8 = 4[/tex]
As we have a square root term along with a single term on left side. We will move the single term on right side.
[tex]\sqrt{2y-5} = 4-8[/tex]
[tex]\sqrt{2y-5} = -4[/tex]
Taking the square on both sides, we get
[tex](\sqrt{2y-5})^2 = (-4)^2[/tex]
Square will cancel the impact of square root, therefore:
[tex]({2y-5}) = 16[/tex]
[tex]2y = 16+5[/tex]
[tex]2y = 21[/tex]
[tex]y = \frac{21}{2}[/tex]
[tex]y = 10.5[/tex]
Therefore, the root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.
Circle X has radius r X = 6 units and circumference C X = 12 π units. Circle Y has circumference C Y = 6 units. Which equation is true? rY = rX rY = 2πrX rY = rY =
The correct radius for Circle Y, given its circumference, is 3/π units. The provided equations do not reflect this value, and hence, are not correct.
Explanation:The question essentially asks for the radius of Circle Y. The given information includes the radius of Circle X (rX = 6 units) and the circumferences of both circles (CX = 12π units and CY = 6 units).
Remember that the formula for the circumference of a circle is C = 2πr. Using this formula, we can find the radius of Circle Y by dividing its circumference by 2π. Hence,
rY = CY / (2π) = 6 / (2π) = 3/π units.
Consequently, the equation rY = rX is false, because 3/π is not equal to 6. Other given equations do not apply to this particular problem.
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Which of the following correctly shows the first step when factoring 5a^2b-5a^2c-5db+5dc by grouping?
1) 5a^2 (b-c)-5d(b-c)
2) 5a^2 (b+c) +5d(b+c)
3) 5a^2 (b+c) -5d(b+c)
4)5a^2 (b-c) +5d(b-c)
Answer:
Correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
Step-by-step explanation:
Given expression is : [tex]5a^2b-5a^2c-5db+5dc[/tex]
Now we need to factor it by completing square to match the correct choice.
[tex]5a^2b-5a^2c-5db+5dc[/tex]
Make two groups having first two terms and last two terms then find GCF of each.
[tex]=5a^2(b-c)-5d(b-c)[/tex]
Hence correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
Hw 31 surface area of pyramids and cones
Answer:
1)LSA=219.91 m^2
TSA= 298.45 m^2
2)LSA=785.39 ft^2
TSA= 1099.55 ft^2
3)LSA=527.78 in^2
TSA=728.84 in^2
4)LSA=480.66 mm^2
TSA= 735.13 mm^2
5)LSA= 56 cm^2
TSA= 72 cm^2
6)LSA=261 in^2
TSA=391.5 in^2
Step-by-step explanation:
lateral surface area(LSA) of cone is calculated by: πrl
Total surface area(TSA) of cone is calculated by: πrl + πr^2
where r is radius of cone
l is slant height of cone
Q1)
r=5m and l=14m
Putting value in formula:
LSA= πx 5x 14
= 219.91
TSA= πx 5x 14 + π(5)^2
= 298.45
Q2)
r=10ft and l=25ft
Putting value in formula:
LSA= πx 10x 25
= 785.39
TSA= πx 10x 25 + π(10)^2
= 1099.55
Q3)
r=8in and l=21in
Putting value in formula:
LSA= πx 8x 21
= 527.78 in
TSA= πx 8x 21 + π(8)^2
= 728.84
Q4)
r=9mm and l=17mm
Putting value in formula:
LSA= πx 9x 17
= 480.66 mm
TSA= πx 9x 17 + π(9)^2
= 735.13
Q5)
LSA of Pyramid is given by= 1/2(p)(l)
TSA of Pyramid is given by= 1/2(p)(l) +B
where p is perimeter of base
B is area of base
and l is slant height
Finding p= 4.length of each side (as it is square base)
=4x4
= 16
finding B= s^2
= 4^2
=16
Putting values in formula:
LSA= 1/2(7)(16)
= 56
TSA=1/2(7)(16) + 16
= 72
Q6)
Finding p= 5.length of each side (as it is Pentagon)
=4x8.7
= 34.8
finding B= 5[1/2(b)(h)]
= 5[1/2(8.7)(6)]
=130.5
Putting values in formula:
LSA= 1/2(34.8)(15)
= 261
TSA=1/2(34.8)(15) + 130.5
= 391.5 !
In which triangle is the value of x equal to cos−1 (4.3/6.7)?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
jim ate 1/4 of a candy bar. his brother ate 2/4 of a candy bar how much of the candy bar is left
[tex]\frac{4}{4}total[/tex]
[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]
[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the candy bar is remaining
1/4 of the candy bar is left.
First, let's add up the fractions of the candy bar that Jim and his brother ate:
Jim ate = 1/4
his brother ate = 2/4.
To find out how much they ate in total, we add these fractions:
1/4 + 2/4
= 3/4
So, they ate a total of 3/4 of the candy bar.
Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):
1 - 3/4
= 1/4
So, 1/4 of the candy bar is left.
A clock face has a diameter of 10 inches. What is the area of the clock face?
Answer:
A = 78.5 in ^2
Step-by-step explanation:
Area of a circle = pi * r^2
The radius is d/2
r= 10/2
r =5
A = pi * r^2
Substitute r=5
A = pi *(5)^2
A = 25 pi
We know that pi is approximated by 3.14
A = 25 (3.14)
A = 78.5 in ^2
what is the perimeter of triangle ABC
12 units
13units
14units
18units
Answer:
18
Step-by-step explanation:
The length of side AC can be found by counting the squares between AC: 8.
The length of side BC can be found using the Pythagorean Theorem. B is 3 units to the right of C and 4 units above C. Thus:
|BC| = √(3² + 4²) = √25 = 5.
|AC| has the same length: 5.
Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.
d 18 units 5+5+8. just add the side lengths
Need help with this math question
Answer: w = 61
Step-by-step explanation:
If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).
write down the formula for each: please help me
Answer:
D=2R R=D/2 Circumference = 2πR Area: πR^2
Step-by-step explanation:
What is five x squared plus x minus two x squared minus x
Answer:
4x² - 2x
Step-by-step explanation:
5x² + x - 2x - x² - x
can be simplified: 5x² - x² - 2x + x - x = 4x² - 2x
Answer:
3x^2
Step-by-step explanation:
five x squared
5x^2
plus x
+x
minus two x squared
-2x^2
minus x
-x
All together
5x^2 +x-2x^2 -x
Combine like terms
5x^2-2x^2 +x-x
3x^2
What is the value of y
Answer:
50
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
We can use the alternating interior angles theorem to determine that 50 and y are congruent.
Therefore the measure of angle y is 50.
what are the solutions for 2x^2-8x-90
Answer: x = 9
x = -5
Step-by-step explanation:
High temperatures were recorded for 30 consecutive days:
50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46, 50, 44, 51, 49, 43, 43, 49, 45, 46, 45, 51, 46.
What is the range for the data set shown?
A)
8
B)
9
C)
30
D)
51
Answer:
The range is A,8.
Step-by-step explanation:
Range means to subtract the lowest value in the set from the highest value.
The lowest value is 43.
The highest value is 51.
subtract the two(51-43).
=8
hope this helps :)
need the answer.... PLZ will name the fist one to answer the brainliest!!!!!
Answer:
A. $3,992.50
Step-by-step explanation:
Pavi has a credit limit of $8,000.
The credit statement says that the current balance is $4,007.50.
The margin Pavi has is the limit ($8,000) minus the current balance ($4.007.50), so 8000 - 4007.50 = 3992.50
It could have been guessed easily, because the balance is roughly half of the credit limit... so what's left is roughly half of the credit limit. And the first answer is the only one close to that half-limit number ($4,000).
Plzzzzz help I really need it
Answer:
The data set with the greater range is the girls, the greatest medium is also the girls.
Step-by-step explanation:
The range of the boys is 60-120
while the range of the girls is 70-150
The medium of the boys is 90,
the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)
The right square pyramid shown below has a base measuring 9 inches on each side and a height of 15 inches. What is the volume in cubic inches, of the right square pyramid?
Answer:
405 inches^2
Step-by-step explanation:
V=bh/3
The base would be 81 because 9x9
The height is 15
81x15=1215
1215/3= 405