Answer:
rectangular pyramid, 5, 8,5
Step-by-step explanation:
Answer:
✔ rectangular pyramid
This figure will have
✔ 5
faces,
✔ 8
edges, and
✔ 5
vertices.
the person above is correct
In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.
This is equivalent to the fraction 1085/2
===============================================================
Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
-------------------------------
The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
-------------------------------
We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
What is the value of x if e^3x+6 =8? Answer:
Answer:
[tex]\displaystyle x = \frac{ln2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle e^{3x} + 6 = 8[/tex]
Step 2: Solve for x
[Equality Property] Isolate x term: [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides: [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 3xlne = ln2[/tex]Simplify: [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x: [tex]\displaystyle x = \frac{ln2}{3}[/tex]Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
Please hurry I will mark you brainliest
What is the equation of the line with a slope of -3 and a y-intercept of 4?
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Divisibility rules with algebra
Answer:
D=8
Step-by-step explanation:
normal division rules
33 goes into 47 1 time
then it leaves 17D
if we divide 170 by 33, we get 5 and if we divide 179 by 33, we still get 5. So we have 17D-165. That leaves us with something that you multiply 33 with to have a 2 in the ones place so that you get a remainder of 2. (In order to get 2 in the remainder, we need a 2 in the ones place because 4-2=2. In order to get that we need to see which number multiplied with 33 would get us a number smaller than 179 but also has a 2 in the ones place. Theres only one number and thats 4. 33*4=132. So in order to get only 2 in the remainder, we need the rest to be subtracted. This means that 17D-165=134. This way we can see that D=8
cos 39 degrees =57/x
Answer:
x = 73.35
Step-by-step explanation:
Here, we want to find the value of x
We can get this by simply re-arranging the equation
we have this as follows;
x = 57/cos 39 degrees
x = 73.35
The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?
Answer: 220 feet tall
Step-by-step explanation:
1. Draw!
2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)
Answer:
The building is 220 ft tall
Step-by-step explanation:
Which of the following is true?
(A)The baby is male/female is determined by mother’s chromosome.
(B) The baby is male/female is determined by father’s chromosome.
(C) Pair of Mother’s chromosome is X-Y .
(D) Pair of Father’s chromosome is X-X .
Answer:
(B) The baby is male/female is determined by father’s chromosome.
Step-by-step explanation:
Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.
Answer:
hi i hope it helps you
Step-by-step explanation:
please mark brainlist and like
thanks
and have a nice day.
ds
Given the velocity v =
dt
and the initial position of a body moving along a coordinate line, find the body's position at time t.
v = 9.8t + 12, s(0) = 20
Answer:
so the answer is I don't know
order the set of irrational numbers from least to greatest
Answer:
answer is A
hope it helps please mark as brainliest answer and give me thanks
#Dhruv here
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
How do I simplify this? With steps please :)
Answer:
[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]
A number is equal to three times the smaller number also the sum of the smaller number and four is the larger number situation is graft on the coordinate plane below where X represents the smaller number and Y represents the larger number which two equations represent the situation
Answer:
this question is missing needed information
What is the name for the marked angel ?
Answer:
A
Step-by-step explanation:
Answer:
The answer is <ead
please mark me brainliest
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
2X. (3x - 2y + 4z) con proceso porfavor, ayuda
[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]
[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]
Espero que te sea de ayuda.
Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.
Answer:
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Step-by-step explanation:
Test if the proportion of odd numbers is significantly different from 50%.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion differs from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]
Two thousand numbers are selected randomly; 960 were even numbers.
This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]
[tex]z = -1.79[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.
Looking at the z-table, z = -1.79 has a p-value of 0.0367
2*0.0367 = 0.0734
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
Answer:
4.2 cents
Step-by-step explanation:
Take the total cost and divide by the number of ounces
1.01 /24
0.04208
Round to the nearest tenth of a cent ( 3 decimal places)
0.042
4.2 cents
Find square root of 0.0324
Answer:
0.18
Step-by-step explanation:
can someone help me with this ? please and thank you
Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
Let f(x) = 3x − 2 and g(x) = x + 1. Find (g ∘ f)(2).
Help plsssssssssssssssss
Answer:
(g ∘ f)(2) =5
Step-by-step explanation:
f(x) = 3x − 2
g(x) = x + 1
(g ∘ f)(2).
Find f(2) = 3(2) -2 = 6-2 = 4
Then find g(4) = 4+1 = 5
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
De los 30 balones de un colegio, dos quintos son de fútbol, un tercio de baloncesto y el resto de voleibol. ¿Cuántos balones de voleibol hay en el colegio? ayuda es para hoy ;(
Answer:
Number of Volleyballs = 8 balls
Step-by-step explanation:
Given:
Total number of balls = 30 balls
Fraction of soccer ball = 2/5 balls
Fraction of basketball = 1/3 balls
Rest are Volleyballs
Find:
Number of Volleyballs
Computation:
Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs
Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)
Number of Volleyballs = 30 - 12 - 10
Number of Volleyballs = 30 - 22
Number of Volleyballs = 8 balls
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)
A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of change is a constant, what is the average rate of change of the company’s profit in dollars per year? HELP
Answer:
Average rate of change = $11250 per year.
Step-by-step explanation:
Let's take two points from given information (2006, 90000) and (2010, 135000).
Now, use slope formula to find slope.
Slope =[tex]\frac{y2-y1}{x2-x1}[/tex]
Use the two points to find average rate of change (slope)
Average rate of change =[tex]\frac{135000-90000}{2010-2006}[/tex]
=[tex]\frac{45000}{4}[/tex]
=11250
Average rate of change = $11250 per year.
PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):
O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet
Answer:
36
Step-by-step explanation:
Answer:
36 feet
Step-by-step explanation:
I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%
Can someone help me with this math homework please!
Answer:
4
Step-by-step explanation:
A line with 0 slope is parallel to x axis and it must have the same y coordinates
Answer:
4
Step-by-step explanation:
( 3, b ) and ( - 2, 4 )
x1 y1 x2 y2
Here,
x1 = y1 = 0
x2 = - 2
y2 = 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 4 - b ) / ( - 2 - 3 )
0 = ( 4 - b ) / - 5
4 - b = - 5 x 0
4 - b = 0
4 = b
b = 4
What is the measure of angle x? Please help asap! Khan academy question!
Answer:
38°
Step-by-step explanation:
90-58
I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI
Answer:
[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]
Step-by-step explanation:
From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.
*Vertical angles are two lines that intersect each other.*
So ∠BAC is equal to ∠IAK.
[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°
(Interior angles in a triangle always add up to 180°).
[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]
[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]
[tex]\tt \angle BCA=32^{\circ}[/tex]
∠BCA and ∠x are vertical angles, therefore they are congruent.
∠BCA and ∠x= 32°
______________________________________A rectangle has a length (x+3)cm and a width (x-1)cm . Given that the rectangle is 24 cm^2. Find the value of x
Answer:
4.292
Step-by-step explanation:
(x+3)(x-1)=24
expand
x²+2x-3=24
x²+2x-27=0
Using the quadratic formula..
[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]
there is another answer, but it doesn't make sense in the context of this question
the un-rounded answer is 4.29150262215
If the discriminant of an equation is zero, which of the following is true of the equation?
[tex]\sf Your \: question \: is \: incomplete. \: [/tex]
______________________
[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹
[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]
[tex]\boxed{ \sf{Explanation}} [/tex]
[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]
Answer:
see explanation
Step-by-step explanation:
If b² - 4ac = 0
Then the roots are real and equal
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
