Answer:
-616
Step-by-step explanation:
First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1
for the first parenthesis would be -14. the second parenthesis would be 44.
then multiply both of the answers together to get -616
Answer:-220
Step-by-step explanation:
Wendy is taking a cab ride. The ride costs $1.20 for the first 0.5 km, and $0.90 for each additional 0.5 km. If the trip costs $12.00, how many kilometres was the cab ride?
Answer:
6.5 km
Step-by-step explanation:
Subtract 12 - 1.20 for the first 0.5 km
We are left with 10.8
Divide 10.8 by 0.90 to find the other 0.5 km
This gives you 12, which means it was 6 km
The total cab ride was 6.5 km
Answer:
6.5 km
Step-by-step explanation:
First subtract 1.2 from 12, you get 10.8
now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.
12.00-1.2=10.8 this is .5 km 10.8 divided by .9 =12
12 divided by .5=6
.5 km + 6 km = 6.5
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?
Answer:
Maximum: 756
Minimum: 600
Step-by-step explanation:
A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:
(1+3+5+8+10)(2+4+6+7+9)
For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:
(1+2+3+4+5)(6+7+8+9+10)=600
Hope this helps!
The discriminant of 2x² + √32 x - 2 is
Answer:
The answer is 48.
Step-by-step explanation:
The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]
[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]
[tex]D = 32 + 16[/tex]
[tex]D = 48[/tex]
what is the measure angle of N???
[tex]answer \\ 61 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.
Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
Which expression is modeled by this arrangement of tiles?
16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2
Answer:
The answer is B
Step-by-step explanation:
How long is the shorter leg of the triangle?
Answer:
6 is the answer
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida
Answer:
number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Step-by-step explanation:
Given that f represents the number of state parks in Florida.
Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida
number of State Parks in California = 1/3 (number of State Parks in Florida) + 36
but it is given that There are 85 State Parks in California
and f represents the number of state parks in Florida
85 = 1/3(f) + 36 _________equation
=> 85 - 36 = 1/3 (f)
=> 49 = 1/3 f
=> 49*3 = f
=> f = 147
Thus, number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
what is the answer to this please?
-3(x+2)+5x = -9
Answer:
[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]
PLEASE HELP!! WILL MARK BRAINIEST !!
Select the correct answer. If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)
A.)16
B.)14
C.)12
D.)10
E.)8
Answer:
(f+g)(2) = 10
Step-by-step explanation:
f(x)=2x^2+3x
g(x)=x-2
(f+g)(x) will be sum of f(x) and g(x)
(f+g)(x) = 2x^2+3x + x - 2 = 2x^2+4x - 2
we have to find (f+g)(2), for that we will put x = 2
(f+g)(x) = 2x^2+4x - 2
[tex](f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10[/tex]
Thus, (f+g)(2) is 10.
What percent of 660 is 99?
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
[tex]\frac{99}{660} =\\\\\frac{3}{20} =\\\\\frac{15}{100}[/tex]
99 is 15% of 660
Work out 50 as a presentage of 10
Answer:
500%
Step-by-step explanation:
10= 100%
50= 5*10= 5*100%= 500%
What is the x-value of the vertex?
f(x)=(x+2)2−1
x-value of the vertex:
Step-by-step explanation:
f(x) = (x+2)(2-1)
= x(2-1)+2(2-1)
= 2x-x + 4-2
= 2x - x + 2
For the graph of the rational function
f(x)=x^2-15+56 over
x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptote
A.removable discontinuity at x=-7
B. Vertical asymptote is x=7
C.vertical asymptote is at x=-7
D. Removable discontinuity at x=7
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Which measurements could be the length of the third
side? Select all that apply.
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches
19 inches
0 21 inches
D 35 inches
45 inches
in ohon
Answer:
35 and 21
Step-by-step explanation:
the sum of the two lengths of two sides must be greater than the length of the third side.
10+30=40
45 doesn't work: 40<45.
10+19=29
29<30
19 doesn't work
10+21=31
31>30
21 works
35+10=45
45>30
35 also works
Answer:
35 and 21, good luck!! sorry I'm late
Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is P(blue)=0.34. Write this probability as a percent and a fraction.
Answer:
0.34 can be written as 34% or 34/100.
Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no.
Answer:
no shes wrong it does not hold a liter
Step-by-step explanation:
Find f(2) if f(x) = (x + 1)2
Answer:
2x
Step-by-step explanation:
f(2)=(2x+1)2
f(2)=(4x+2)
÷ both by two
f(2)=(2x)
// have a great day //
Help me please, an explanation would be nice as well
Answer:
Option (A). 44.1
Step-by-step explanation:
In the figure attached,
Triangle XYZ is am obtuse triangle having,
m∠XZY = 133°
m(YZ) = 21 units
m(XZ) = 27 units
By Cosine rule,
(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ
Where θ is the angle opposite to side XY.
(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°
= 1943.38614
XY = √1943.38614
XY = 44.084
≈ 44.1 units
Therefore, length of side XY = 44.1 units
Option (A) will be the answer.
Which equation is rewritten in vertex form
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12
Answer:
The second figure is the correct figure.
Step-by-step explanation:
Graph (ii) is solution of system of equation.
We have to given that,
System of equations are,
2x + y = 3
3y = x - 12
Now, Solve the equations and find the solution,
Here, Equations are,
2x + y = 3 .. (i)
3y = x - 12 .. (ii)
From (i);
y = 3 - 2x
Substitute in (ii);
3 (3 - 2x) = x - 12
9 - 6x = x - 12
9 + 12 = 6x + x
7x = 21
x = 3
And from (i);
2 × 3 + y = 3
6 + y = 3
y = - 6 + 3
y = - 3
Hence, Solution is, (3, - 3).
So, Graph shown in option (ii) has intersection point (3, - 3)
Thus, Graph (ii) is solution of system of equation.
Learn more about systems of equations at:
brainly.com/question/14323743
#SPJ2
What is the graph of a quadratic equation known as?
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola.
Step-by-step explanation:
Find the value of [2-3(2-3)-1]-1 .
Answer:
the answer to this is 3
Step-by-step explanation:
hope this helps
Answer:
your answer to this question is 3
Step-by-step explanation:
Given ΔJKL, the following steps were performed to construct triangle ΔXYZ so that ΔJKL ≅ ΔXYZ.
1.Copy side JL to form XZ.
2.Copy angle ∠LJK to form ∠ZXY.
3. Copy side JK to form XY.
4. Construct segment YZ.
Which congruency theorem can be applied to prove that the triangles are congruent?
a) ASA
b) SSS
c) AAS
d) SAS
Answer:
it's SAS. You've probably found out by now sorry :/
Step-by-step explanation:
Answer:
sas
Step-by-step explanation:
WY is the perpendicular bisector of XZ. Y =
(I attached an image) Please help! Thank you!
Answer:
y=5
Step-by-step explanation:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
WY is the perpendicular bisector of XZ.
2x + 3 = 3x - 5
x = 8
5y - 2y = 7 + 8
y = 5
The value of y is 5
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
WY is the perpendicular bisector of XZ.
We see that,
2x + 3 = 3x - 5
3x - 2x = 3 + 5
x = 8
Now,
We have two right triangles.
∠WXY
WY² = WX² + XY² _____(1)
∠WYZ
WY² = WZ² + YZ² ______(2)
From (1) and (2) we get,
WX² + XY² = WZ² + YZ²
(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²
(2y + 7)² = (5y - 8)²
2y + 7 = 5y - 8
5y - 2y = 7 + 8
3y = 15
y = 5
Thus,
The value of y is 5
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ5