Answer:
B
Step-by-step explanation:
It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
[tex]x\approx 49.6^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.
For angle [tex]x[/tex]:
Opposite side is 40Adjacent side is 34Therefore, we have:
[tex]\tan x^{\circ}=\frac{40}{34}[/tex]
Take the inverse tangent of both sides to solve for [tex]x[/tex]:
[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]
add: -38+6+27+(-8)+126
Answer:
113
Step-by-step explanation:
At the farmers' market, Lillian bought 5/12 of a pound of string beans and 1/12 of a pound of lima beans. How many more pounds of string beans did Lillian purchase?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/3 more pounds of string beans.
Step-by-step explanation:
Amount of string beans: 5/12 of a lbs(pound)
Amount of lima beans: 1/12 of a lbs
Amount of string beans - Amount of lima beans = 5/12-1/12 =4/12 which simplifies down to 1/3.
Is the following statement a good definition? Why?
An obtuse angle is an angle whose measure is greater than 90°.
Answer:
yes it is all obtuse angles have measures greater than 90°.
Answer:
Yes it is. All obtuse angles have measures greater than 90.
Step-by-step explanation:
Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.
H Solve the following questions.
| Mrs Liya cut a cake into 10 parts and give it out to her 3 children. Liza got the largest parts while Lina got the smallest parts. The difference between the number of parts Liza had and the number of
parts Lina had is equal to the number of parts Lini had. How many
parts did each of them have?
Answer:
Liza: 5 parts
Lina: 2 parts
Lini: 3 parts
Step-by-step explanation:
Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had
5-2=3 parts for Lini
Thank you. Tell me if any incorrections.
Please help me with this problem
Answer:
Step-by-step explanation:
a*b *c = abc
15c = 15 . c
2a * 10b = 2* 10 * a * b = 20ab
The above mentioned expressions are true
That are false
12ab = 12a * 12b ----> false because 12ab = 12 * a* b
7a *7b = 14ab is false because 7a * 7b = 7 * 7* a *b = 49ab
Someone please help me on this and please tell me the answer directly please !!
Answer:
0.01
0.05y-0.12y-0.06
Answer:
First one should be: 0.05 + 0.1y = 0.12 + 0.06y
Second one is 100
Step-by-step explanation: Trust me:)))
f(x)=-x^2-9x find f(-2)
Answer:
14
Step-by-step explanation:
put -2 where x is
f(x)=-x^2-9x
f(-2)= -(-2)^2 -9(-2)
f(-2)= -4 + 18
f(-2)= 14
Marcos buys a pumpkin that weighs 1.37 pounds. Gabriel buys a pumpkin that weighs 0.24 pounds more than Marcos' pumpkin. How much does Gabriel's pumpkin weigh, in pounds?
Answer:
1.61 pounds
Step-by-step explanation:
Weight of Marcos pumpkin = 1.37 pounds
Weight of Gabriel's pumpkin = Weight of Marcos pumpkin + 0.24 pounds
= 1.37 pounds + 0.24 pounds
= 1.61 pounds
Weight of Gabriel's pumpkin = 1.61 pounds
Please help me out with this one
Answer:
[tex]72 cm^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 cm.
Rectangle#1:
4*5= 20 cm.
Rectangle #2:
3*5= 15 cm.
Triangle (2):
[tex]3*4*\frac{1}{2}=6[/tex]
Multiply by 2 because there are 2 triangles
6*2= 12 cm
Total:
Add them all up.
25+20+15+12= 72
8 Find the value of x a (22²)x is exponent of (22²) = 64
Given:
Consider the given equation is:
[tex](2\cdot 2^2)^x=64[/tex]
To find:
The value of x.
Solution:
We have,
[tex](2\cdot 2^2)^x=64[/tex]
It can be written as:
[tex](2\cdot 4)^x=8\times 8[/tex]
[tex]8^x=8^2[/tex]
On comparing the exponents of both sides, we get
[tex]x=2[/tex]
Therefore, the value of x is 2.
Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A
and point B?
Answer:
the distance is 16
Step-by-step explanation:
Hi there!
We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points
the distance formula is given as [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points
we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion
[tex]x_{1}[/tex]=-4
[tex]y_{1}[/tex]=-13
[tex]x_{2}[/tex]=-4
[tex]y_{2}[/tex]=3
now substitute those values into the formula. Remember: the formula uses SUBTRACTION.
[tex]\sqrt{(-4--4)^2+(3--13)^2}[/tex]
simplify
[tex]\sqrt{(-4+4)^2+(3+13)^2}[/tex]
now add the values inside the parenthesis that are under the radical
[tex]\sqrt{(0)^2+(16)^2}[/tex]
raise everything under the radical to the second power
[tex]\sqrt{0+256}[/tex]
add under the radical
[tex]\sqrt{256}[/tex]
now take the square root of 256
[tex]\sqrt{256}[/tex]=16
so the distance between point A and point B is 16
Hope this helps! :)
Find the answer to each trigonometric function below.
Answer:
Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]An ellipse has a co-vertex at (–8, 9) and a foci at (4, 4). If the center of the ellipse is located below the given co-vertex, then what is the equation of the ellipse? Write in standard form. Guide question? 1) What are the coordinates of the center of the ellipse? 2) Is the ellipse horizontal or vertical?
Answer:
Step-by-step explanation:
“the center of the ellipse is located below the given co-vertex”
Co-vertex and center are vertically aligned, so the ellipse is horizontal.
Equation for horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
with
a² ≥ b²
center (h,k)
vertices (h±a, k)
co-vertices (h, k±b)
foci (h±c,k), c² = a² -b²
One co-vertex is (-8,9), so h = -8.
One focus is (4,4), so k = 4.
Center (h,k) = (-8,4)
c = distance between center and focus = |-8 - 4| = 12
b = |9-k| = 5
a² = c² + b² = 169
(x+8)²/169 + (y-4)²/25 = 1
Need help on this!!! 7 points!!!
Answer:
P= $226,863.29
Step-by-step explanation:
Compounded Continously means
P= P₀e^(rt)
plug in givens
P=(47000)e^(0.0926*17)
Use Calculator
and get P= $226,863.29
Answer:
$226,863.29
Step-by-step explanation:
P = $47,000
r = 0.0926
t = 17
A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]
A = $226,863.29
Which of the following terms best describes each of the two points marked with dots in the ellipse below?
Answer:
Focus.
Step-by-step explanation:
.
Answer:
The correct answer is D. Focus.
Step-by-step explanation:
plz help me out with the answer and explaination
Answer:
7500 m
Step-by-step explanation:
5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500
How do I find question number 43
Answer:
[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]
In how many ways can u arrange the letters of the word MATHEMATICS taking three letters at a time?
Answer:
256 ways i think maybe
Step-by-step explanation:
Sophia worked for 6 hours and got paid $85. How much money did Sophia will earn if she works for 18
hours?
Answer: $255
Step-by-step explanation:
Use proportions:
[tex]\frac{6hr}{85} =\frac{18hr}{x}[/tex]
Cross-multiply & solve:
[tex]6x=18 * 85\\6x=1530\\x=255[/tex]
Juan le dice a Laura dentro de 18 años tendré 4 veces la edad que tenia hace 9 años. ¿Qué edad tiene juan?
Answer:
18
Step-by-step explanation:
18
(6/11) to the power 2 answer pls
Step-by-step explanation:
in fraction it comes 36/121
and in decimal.it comes 0.3
Answer:
Step-by-step explanation:
6/11^2 = 6/11 * 6/11 = 36 / 121.
You cannot simplify 36/121
Tony is 3 years older than Marie. This can be modeled with the following equation
Answer:
M = T - 3
Step-by-step explanation:
Given
T = M + 3 ( subtract 3 from both sides )
T - 3 = M , that is
M = T - 3
Answer:
[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]
Step-by-step explanation:
T = M + 3
Swap the sides of of equations .
M + 3 = T
subtract 3 from both side
M + 3 - 3 = T - 3
M = T - 3
rationalization
[tex] \frac{6}{ \sqrt{3} } [/tex]
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
pls answer with explanation!
The manager of a small baseball stadium uses the equation y = 9000 -2.4x to model the relationship between y, the number of unfilled seats in the
stadium, and x, the number of cars in the parking lot. According to the model, how many cars will be in the parking lot when there are no unfilled seats in the stadium?
Answer:
3,750 cars.
Step-by-step explanation:
We are given that the equation:
[tex]y=9000-2.4x[/tex]
Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.
We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.
When there are no unfilled seats in the stadium, y = 0. Thus:
[tex]0=9000-2.4x[/tex]
Solve for x. Subtract 9000 from both sides:
[tex]-2.4x=-9000[/tex]
Divide both sides by -2.4:
[tex]x=3750[/tex]
So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.
vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that
(a) Its distance from (1, 2) and (2, -3) are equal.
HELP ASAP!!!
The circle graph shows the percentage of visitors at a
convention who ordered various flavors of juice. There were 700
visitors at the convention.
About how many visitors ordered grape juice or apple juice?
Enter your answer in the box.
Step-by-step explanation:
40+24+11+8+17= 100
100 - 700
24 - ?
24×700/100
= 168 visitors ordered apple juice
100-700
11-?
11×700/100
=77 people ordered grape juice
The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?
Hello,
546=2*3*7*13
a=2, b=3,c=7,d=13
b+c=3+7=10
The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
Answer:
4x² - 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = - 20 ⇒ b = - a - 20 ...... (1)
25a + 5b = - 20 .......... (2)
(1) -----> (2)
25a + 5( - a - 20) = - 20
20a - 100 = - 20 ⇒ a = 4
4 + b = - 20 ⇒ b = - 24
4x² - 24x + 20 = 0
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............