Answer:
D) -1750
Step-by-step explanation:
[tex]{ \boxed{ \bf{sum = \frac{n}{2}(2a + (n - 1)d) }}}[/tex]
n is number of terms, n=10.
a is first term, a=-94
d is common diffrerence, d = -112-(-94) = -18
[tex]{ \sf{sum = \frac{10}{2} ( - 188 + (10 - 1) \times - 18)}} \\ { \sf{sum = - 1750}}[/tex]
what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)
Answer:
k = 3.
Step-by-step explanation:
At the given point x = -1 an f(x) = 1/2, so we have the equation:
1/2 = (2 - k)/(5(-1) + k)
(2 - k)/(k - 5) = 1/2
Cross multiplying:
2(2 - k) = k - 5
4 - 2k = k - 5
-2k - k = -5 -4
-3k = -9
k = 3.
6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined
Answer:
B
Step-by-step explanation:
We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.
And we want to determine its axis of symmetry.
Recall that a parabola is symmetric about its axis of symmetry.
Therefore, the axis of symmetry is directly in the middle of the two roots.
Find the average of the roots:
[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]
Hence, the axis of symmetry is x = 2.
Our answer is B.
In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:
[tex]\displaystyle x = \frac{p+q}{2}[/tex]
plzz helppp!!!!!!!!!1111
James brought a dress & t-shirt for $85 and it is 5 times as much as t-shirt how much did James pay for the t-shirt.
Answer:
$17
Step-by-step explanation:
You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!
What is the value of f ^-1 (0)? ( photo given )
PLEASE HELP ME, I would greatly appreciate it !!!
Answer:
[tex] {f}^{ - 1}(0) = 6[/tex]
Step-by-step explanation:
When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.
Câu này giải như thế nào ạ
Cos4x +√3 (1+2sin²x)=3-8sin²x
Answer:
We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.
Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.
Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.
of accumulated knowledge of the medicinal value of rainforest species. As their homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.
library has burned down.
When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.
Step-by-step explanation:
A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car's average acceleration.
Answer:
The average acceleration of the car will be 10 m/s.
Step-by-step explanation:
70 / 7 = 10 m/s.
Answer:
34.3 m/s/s
Step-by-step explanation:
Edmentum
!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(BC)[/tex]
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
What is the following sum?
4(^5sqrtx^2y) + 3(^5sqrtx^2y)
Answer:
option 3
Step-by-step explanation:
[tex](4 + 3) \sqrt[5]{x {}^{2}y } = 7 \sqrt[5]{ {x}^{2}y } [/tex]
Answer:
[tex]7( \sqrt[5]{ {x}^{2}y } )[/tex]Step-by-step explanation:
[tex]4( \sqrt[5]{ {x}^{2}y } ) + 3( \sqrt[5]{ {x}^{2} y} )[/tex]
[tex](taking \: \sqrt[5]{ {x}^{2}y } \: as \: common \: then)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} (4 + 3)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} \times 7[/tex]
[tex] = 7 (\sqrt[5]{ {x}^{2}y } )(ans)[/tex]
mathematics question
Answer:
it's option B the second one
8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees. Find x.
Answer:
x=80 degrees
Step-by-step explanation:
We are given that
ABC is a right triangle
Therefore, angle B=90 degrees
Angle A=a+b=135 degrees
Angle C=c+d=55 degrees
Angle D=x
We have to find the value of x.
We know that
In quadrilateral
Sum of all angles of quadrilateral=360 degree
[tex]\angle A+\angle B+\angle C+\angle D=360^{\circ}[/tex]
[tex]135+90+55+x=360[/tex]
[tex]280+x=360[/tex]
[tex]x=360-280[/tex]
[tex]x=80[/tex]
x=80 degrees
Please help quick! Identify the function shown in this graph.
Please help ASAP!!!! What is the length of BC?
Answer:
x=24
Step-by-step explanation:
Answer:
BC = 24
Step-by-step explanation:
Since ∠ B and ∠ C are congruent the the triangle is isosceles with
AC = AB , that is
3x - 15 = x + 33 ( subtract x from both sides )
2x - 15 = 33 ( add 15 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
BC = x = 24
a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball
Answer:
7/12
Step-by-step explanation:
Total = 10W+14R
probability of red = R/total
10+14 = 24 so total = 24
R = 14
14/24
reduce (divide by two on the top and bottom)
14/2
-------
24/2
= 7/12
The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.
Answer:
[tex]a = 2[/tex]
[tex]b = 2^{1/6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
[tex]x = -2[/tex]
Required
Find a and b
We have:
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
Substitute -2 for x
[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]
[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]
Expand
[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]
Split the exponents
[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]
[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]
By comparison:
[tex]a^3 = 2^3[/tex]
So;
[tex]a = 2[/tex]
and
[tex]\sqrt b = 2^{1/3}[/tex]
Take square roots of both sides
[tex]b = 2^{1/6}[/tex]
Answer: -8, -2
Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))
write 12.97861279 to the 2 significant figures.
Answer:
13
Step-by-step explanation:
Since you want 2 significant figures, you take the first 2 figures, and since there is a .9 after 12, you round up to 13.
Simplify as far as possible;
x²+ 3x²-4x²+5x
Answer:
5x
Step-by-step explanation:
[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]
2X(X+y) + 2y(3X-y)
Please help me
Answer:
2x^2 + 8xy - 2y^2
Step-by-step explanation:
2X(X+y) + 2y(3X-y)
2x^2 + 2xy + 6yx - 2y^2
2x^2 + 8xy - 2y^2
PLEASE HELPP URGENT
20 points!!!
How many different numbers are possible?
A personal identification number consists of 3 letters followed by 3 digits. The letters X, Y, and Z are not used and the last digit cannot be 0 or 9.
Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.
The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.
The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.
Then the total number of PINs that you can make is
23³ × 10² × 8 = 9,733,600
The rectangular top of a small box has dimensions of 140 mm by 230 mm.
How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?
A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm
Answer: B. 74 cm
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit conversion and perimeter.
When there are multiple units in a question, then we should convert all units into one through converting factors.
Perimeter is the distance around a two-dimensional figure.
P = 2 (w + l)
1 cm = 10 mm
Solve:
140 mm = 14 cm
230 mm = 23 cm
P = 2 (w + l) ⇒ Given
P = 2 (14 + 23) ⇒ Substitute
P = 2 (37) ⇒ Addition
P = 74 cm ⇒ Simplify through muliplication
Hope this helps!! :)
Please let me know if you have any questions
How do I find the low value of a box plot
The far left of the chart is the minimum(low) value of the box plot.
Answered by Gauthmath must click thanks and mark brainliest
Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2
Answer:
x = ± 10
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 100 - x²( add x² to both sides )
x² = 100 (I take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
Then solution is x = - 10, x = 10
Answer:
10
Step-by-step explanation:
the guy on top put -10 he's right but it's just 10
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
yes or no? please help
Answer:
yes
Step-by-step explanation:
....
the verticies of the triangle OAB are the origin O, A(-15,0) and B(0,8)
What is the relationship between G and the triangle OAB
G(-7.5,4)
Answer:
G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB
Step-by-step explanation:
The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)
The coordinates of the point G = (-7.5, 4)
The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;
[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]
The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;
[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]
Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side [tex]\overline {AB}[/tex]
4(x-3)+5x-x^2 for x=3
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
plug in the 3
4(3-3)+5(3)-3^2
4(0)+15-9
0+15-9
15-9
6
If a = 4+3√5 and b = 1 then what will be the value of 2 + 2 ?
Answer:
is this a trick question? the value of 2+2 = 4
if you are asking what a^2 + b^2 is then ... 1/a^2 + 45a^2 + 61
Step-by-step explanation:
y = 5x + 9 (-2, -3) pls help me
Answer:
Not a solution.
Step-by-step explanation:
y = 5x + 9
-3 = 5(-2) + 9
-3 = -10 + 9
-3 ≠ -1
The point given is not on the line. It is NOT a solution to the equation.
Hope this helps.
whats the area of this shape
Answer:
54 or 57 (read explanation below)
Step-by-step explanation:
There is a mistake in the problem.
The bottom base has length 10 not 11.
Using the correct length of 10, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(10 + 8)
A = 3(18)
A = 58
Using the incorrect length of 11, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(11 + 8)
A = 3(19)
A = 57
