Answer:
48 [tex]in^{3}[/tex]
Step-by-step explanation:
Surface Area (SA) of a pyramid = [tex]\frac{bh}{3}[/tex]
Surface Area = 36 · 4/3
Surface Area = 144/3
Surface Area = 48
y = x2 – 14x + 23
y = - 3x + 5
Answer:
let first equation be y=x^2-14x+23
second equation be y=-3x+5
now substitute the vale of y in equation second
y=-3x+5
x^2-14x+23=-3x+5
x^2-14x+3x=5-23
x^2-11x=-18
x^2-11x+18=0
x^2-(9+2)x+18=0
x^2-9x-2x+18=0
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
either x-2=0 Or, x-9=0
x-2=0
x=0+2
x=2
x-9=0
x=0+9
x=9
therefore x=2,9
Step-by-step explanation:
-
Answer:
(2, - 1 ) and (9, - 22 )
Step-by-step explanation:
Given the 2 equations
y = x² - 14x + 23 → (1)
y = - 3x + 5 → (2)
Substitute y = x² - 14x + 23 into (2)
x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )
x² - 11x + 18 = 0 ← in standard form
(x - 2)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 9 = 0 ⇒ x = 9
Substitute these values into (2) for corresponding values of y
x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )
x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )
The function f(x) is graphed below. what is f(2)-f(-1)?
photmath, alcaicion par aresolvr perbolmeas mtemataicso ,ect a
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
The dog-to-cat ratio at the adoption center is 7:3 The total number of dogs and cats is 110. How many dogs are at the adoption center? How many cats?
Answer:
77 dogs
33 cats
Step-by-step explanation:
7+3 = 10
110 ÷ 10 = 11
11 x 7 = 77
11 x 3 = 33
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answer: I think it’s Area of the new park is 602000 yd
Answer:
90,375 yd^2
Step-by-step explanation:
A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.
30,125 * 3 = 90,375 yd^2
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
what is 2/8 divided by 3/4
Answer:
1/3
Step-by-step explanation:
2/8 ÷ 3/4
Copy dot flip
2/8 * 4/3
Simplify
2*4 / (8*3)
8/24
1/3
Answer:
0.333333333333 should be the answer, hope this helps!
The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on this information alone, can the same will be used to make inferences about the population?
Answer: C
Step-by-step explanation:
Yes, because the population values appear to be normally distributed
A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.
Answer:
11/15
Step-by-step explanation:
P('Y' or 'R') = 5/15 + 6/15 which is 11/15
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
Answer: 10,985 students
Step-by-step explanation:
You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:
Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years
Number of years = 2010 - 1995 = 15 years
Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵
= 10,985 students
Thirty students were asked what their favorite number from 1 through 9 was. The results were 8 students said 3. 6 students said 4, 9 students said 7, and 2 students said 9. What is the experimental probability that the number 7 was picked as the favorite number?
Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
Can someone please tell me if this angle is supplementary or complementary
Answer:
Step-by-step explanation:
Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.
2x + 4x + 24 = 180 and
6x + 24 = 180 and
6x = 156 so
x = 26
PLEASE HELPPPP I NEED THIS FASTTTTT
Answer:
[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]
Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]
equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,
so in first box - h
in second box - k
after equal to box = r²
Answer:
The answers that would be put into the question box's are: 3, 2, and 16:
(x - 3)^2 + (y - 2)^2 = 16 :)
Hope this helps
-2x + 4 = 3
how would you solve this problem?
Solve for x.
0.5x+78.2=287
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
helppppp meeeee plz i'll give brainliest!!!
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answer:
y=-5x-9
Step-by-step explanation:
Which of the following is a classified as a trinomial
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
Can someone help?
Solve each triangle. Round to the nearest tenth.
Answer:
17 no for side c
take 37 degree as reference angle
using sine rule
sin 37 =p/h
0.60=6/c
0.60c=6
c=6/0.c0
c=10
for side d
using pythagors theorem
H^2=P^2+B^2
(10)^2=(6)^2+B^2
100=36+B^2
100-36=B^2
64=B^2
[tex]\sqrt{64}[/tex]=B
8=B
Step-by-step explanation:
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5y by 5y, how much of the lot will be left over to build bleachers on?
Answer:
Area of rectangular lot= l * f
Step-by-step explanation:
Area of rectangular lot= l * f=7x*7x = 49x^2
Area of stadium= 5y*5y = 25y^2
Area left of build bleachers = 49x^2 - 25y^2
ASAP!!!
-Will mark Brianist
-Please explain
Answer:
They are similar because if you do the expression shown for the first expression it will equal the same thing since 6 x 4d = 24d and 6 x p = 6p
24d + 6p which is equivalent to 24d + 6p
You use the distributive property.
You have 6(4d + p) and 24d + 6p
the 6 is being multiplied into each number in the (), so it is basically
6 x 4d + 6 x p
that gives you 24d + 6p, which is why they are equal
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x
Answer:
[tex]f(x) = (0.85)^x[/tex]
Step-by-step explanation:
Exponential amount of decay:
The equation for an amount that decays exponentially has the following format:
[tex]A(x) = A(0)(1 - r)^x[/tex]
In which r is the decay rate, as a decimal.
Decrease by 15%
This means that [tex]r = 0.15[/tex]. So
[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]
So
[tex]f(x) = (0.85)^x[/tex]
If −2x + 3 = 13, then 2x =____?
T: 76x + 3) = 7(x + 5) Part B: Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solutions. What must be the missing number? Show and explain your work?
Answer:
yea same
Step-by-step explanation: