Answer:
Step-by-step explanation:
D: x ≥ -2. This set includes x = -2 and all numbers greater than -2.
Answer: Choice D) [tex]x \ge -2[/tex]
Explanation:
We have a closed circle at -2, and shading to the right. This tells us x can equal -2, or it can be larger than -2. In short, x is greater than or equal to -2.
Symbolically, we'd write it as [tex]x \ge -2[/tex]
If you wanted to graph [tex]x > -2[/tex] instead, you would have an open circle to indicate "do not include this value in the solution set".
Asap please
1) Javier wants to replace the carpet in the two
bedrooms of his home. Bedroom 1: is rectangular
in shape that has a width of 10ft and length of
8.5ft. Bedroom 2: is rectangular in shape that has
a width of 11.75ft and length of 13.25ft. If the
carpet he wants to buy is $2.83 per square foot,
then how much will it cost for both rooms?
a. $85.00
b. $155.69
c. $240.69
d. $681.15
Answer:
d. $681.15
Step-by-step explanation:
Bedroom 1:
Width = 10 ft
Length = 8.5 ft
Area of bedroom 1 = length × width
= 10 ft × 8.5 ft
= 85 ft²
Bedroom 2:
Width = 11.75 ft
Length = 13.25 ft
Area of bedroom 2 = length × width
= 11.75 ft × 13.25 ft
= 155.6875 ft²
Total carpet in the two bedrooms = 85 ft² + 155.6875 ft²
= 240.6875 ft²
If the
carpet he wants to buy is $2.83 per square foot, then how much will it cost for both rooms?
Total cost for both rooms = Total carpet in the two bedrooms × cost per square foot
= 240.6875 ft² × $2.83
= $681.145625
Approximately $681.15
Can someone please explain how to go the answers for this
Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
Each Saturday, a store reduces the price of any unsold
item by 10%. If an item was priced at $80, on Saturday
of the first week it is marked down to $72. At the end of
the second week, it drops to $64.80, and at the end of
the third week the price is decreased to $58.32. If this
continues for 10 weeks, what should be the selling
price for an item that was originally priced at $80?
Answer: $27.89
Step-by-step explanation:
Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.
Thus, 80×0.9^10 = 27.89
Determine the component form of the vector which has a magnitude of 30 & a direction of 116 degrees.
Given :
Magnitude of vector is 30 units.
Direction of vector from x-axis is 116°.
To Find :
The component form of the vector.
Solution :
We know, vector in component form is given by :
[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]
Putting given values,
[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]
Hence, this is the required solution.
A survey found that 60% of highschool freshmen have Internet access at home. Of the 750 freshmen at one high school, about how many would be expected to have Internet access at home?
Answer:
450 freshman would have internet access
Answer:
450
Step-by-step explanation:
750 student is 100% of highschool freshman so
let x be how may would be expected
x/750=60%/100%
750*60=100*x
45000=100x
x=450
PLEASE HELP QUICK!! I need help with the first problem
Answer:
I need help too it's so hard
A parallelogram always have four right angles*
A. True
B. False
You deposit $2,400 in an account that earns 1.9% annual interest. Find
the balance after 3 years if the interest is compounded monthly.
Remember this is $ so you round to 2 decimal places unless told to do
differently.
Answer:
$2471.53
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(nt), where n is the number of compoundings per year
Here,
A = ($2,400)(1 + 0.019/12)^(12·3), or
($2,400)(1.0015)^36
= ($2,400)(1.026) =
= $2471.53
What is the domain of the function shown on the graph?
Answer:
-1 i think
Step-by-step explanation:
PLS HELP! find the area and round to the nearest tenth
Given:
A regular hexagon with side 11.5 units and apothem 10 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=6\times 11.5[/tex]
[tex]P=69[/tex]
Putting [tex]P=69,a=10[/tex], we get
[tex]A=\dfrac{1}{2}(69)(10)[/tex]
[tex]A=(69)(5)[/tex]
[tex]A=345 [/tex]
Therefore, the area of the regular polygon is 345.0 square units.
Write the number twenty one thousand and sixty four in figures
Answer:
21064
Step-by-step explanation:
21000
+ 64
-----------
21064
Find the slope of a line that passes through the points
(-9, -3) and (-7, -1)
1
-16
1over2
8
Answer:
1
Step-by-step explanation:
To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach
Answer:
C. 3.5 mi
Step-by-step explanation:
Reference angle = angle of elevation
Angle of elevation = angle of depression = 6° (alternate angle theorem)
Hypotenuse = x
Opposite = 1905 ft
Apply trigonometric function SOH:
Sin 6° = Opp/Hyp
Sin 6° = 1905/x
x * Sin 6° = 1905
x = 1905/Sin 6°
x = 18,224.7 ft
Convert form feet to miles
1 mi = 5,280 ft
Therefore,
18,224.7 = 18,224.7/5,280
= 3.45164773 mi
≈ 3.5 mi (nearest mile)
The sphere has a radius of 12 meters, What is the volume of the sphere
[tex]\Large{\underline{\mathcal{Given: }}}[/tex]
radius = 12m
volume = ❓
[tex]\Large{\underline{\mathcal{solution :}}}[/tex]
volume of a sphere:
☞4/3 πr³ cu.units
☞4/3 × 22/7 × 12 × 12 × 12
☞ 7214 m³
Devante buys 1/1/4 pounds of cashews 7 ounces of almonds and 3/4 pounds of pecans how much do the nuts weight in
Answer: [tex]39\ \text{Ounces}[/tex]
Step-by-step explanation:
Given
The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]
Amount of almonds [tex]7\ \text{ounces}[/tex]
The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]
We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]
Converting pounds to ounces and adding them
[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]
Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]
How do you find the distance between points (5,1), (4,0)?
Answer:
To find the hypotenuse, you would use the formula a^2 + B^2 = C^2
That is the formula for the pythagorean theorem.
I suggest you first plot it on a graph, then could the units on the sides that make up the legs.
When you plot it, the legs are both 1 unit.
so it would be, following the formula:
1^2 + 1^2 = c^2
1 x 1 + 1 x 1 = c^2
2 = c^2
Then you square root:
√2 = √c^2
1.41421356 = c
1.41421356 rounded to the nearest tenth is 1.4.
So the length of (5,1), (4,0) is ≈1.4
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
Step-by-step explanation:
A
Find X, AB, BC, and AC if ABC is equilateral.
X =
AB =
BC =
AC =
My dog, Bentley, is playing in the park and sees a tree 100 m away. Since he is the dog of a mathematics teacher, he knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?
Answer:
g
Step-by-step explanation:
Answer:
g is the answer trust me all the best
help as soon as possible yo
Answer:
the answer is D. x=-7
E. x=4
Can I please have some help with this I am stumped
9514 1404 393
Answer:
29 in²
Step-by-step explanation:
No need to be stumped. The dashed lines divide the figure into three recognizable forms, for which you have area formulas.
The area of a rectangle or parallelogram is given by the formula ...
A = bh . . . . . where b represents the base, and h represents the height.
__
The top part of the figure is a square. That is, it is a rectangle with its base equal to its height. In this figure, both are labeled 2 in.
A = (2 in)(2 in) = 4 in² . . . . . . area of top square
The middle part of the figure is a parallelogram. Its base is the same as the base of the rectangle below it. Its height is labeled 3 in.
A = (5 in)(3 in) = 15 in² . . . . . . area of middle parallelogram
The bottom part of the figure is a rectangle with a height of 2 in. Its base is the same length we used for the parallelogram: 5 in.
A = (5 in)(2 in) = 10 in²
The area of the figure is the sum of the areas of its parts:
figure area = 4 in² + 15 in² + 10 in² = 29 in²
The area of the figure is 29 in².
A recipe requires 3 cups of milk for every 4 cups of flour. Write a linear equation that describes the relationship.
Answer: [tex]y=\dfrac{3}{4}x[/tex]
Step-by-step explanation:
Given
3 cups of milk are required for 4 cups of flour
Suppose there are x cups of milk and y cups of flour
So, according to the question
[tex]\Rightarrow 3x=4y\\\\\Rightarrow y=\dfrac{3}{4}x[/tex]
The above equation represents the linear equation.
Which equation represents the volume of a cone with the same base and height as the cylinder below?
VA
o cone - FK
O vocane rikk
o Yoone - 3 stk
O cone - 3x7K
Answer:
Step-by-step explanation:
23
Find the circumference and area of a circle the radius is 7 meters
Answer: 43.9823
Step-by-step explanation:
The equation to find the circumference is c=2πr. By the “r” in the equation represents the radius. The question says the radius is 7 so you just input the 7 where the “r” is. So 2·π·7=43.9823.
C=2πr=2·π·7≈43.9823
Choose the inequality that represents the following graph.
Answer:
b is the answer I believe so because it have to be greater than 0
Step-by-step explanation:
I hope it's right and if not my bad
Which property is being used here?
5.2345 x 1 = 5.2345
Answer:
The identity property
Step-by-step explanation:
.......
For the following right triangle, find the side length .
Answer:
x = 25
Step-by-step explanation:
Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)
If we substitute the side lengths for the question in a²+b²=c², you'll get
20²+15²=x²
Simplifying the numbers and squaring them, you get
400+225=625²
Since you want the value of the x side, you'll need to root 625.
√625=25
Therefore, x = 25
Answer:
x = 25
Step-by-step explanation:
To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.
Plug in our values for a and b and solve for x.
[tex]a^2+b^2=c^2[/tex]
[tex]20^2+15^2=c^2[/tex]
[tex]400+225=c^2[/tex]
[tex]625=c^2[/tex]
[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]
[tex]25=c[/tex]
c, or x is equal to 25. The missing sidelength is 25 units.
Good luck ^^
Find the missing side. Round to
the nearest tenth.
19
40°
[ ?
Answer:
14.6
Step-by-step explanation:
We solve using the Trigonometric function Cosine
cos θ = Adjacent/Hypotenuse
θ = 40°
Hypotenuse = 19
Adjacent = x
Therefore,
cos 40 = x/19
Cross Multiply
x = cos 40 × 19
x = 14.554844419
Approximately to the nearest tenth,
x = 14.6
simplify the expression - 1/2 (- 5/6 + 1/3)
Answer: 1/4
Step-by-step explanation:
Answer:
1/4 would be your answer.
Step-by-step explanation:
Hope this helps!, and if this Is wrong someone correct me.
Item 4
Sam biked for 4 minutes 30 seconds.
How many seconds did Sam bike?
34 s
94 s
270 s
300 s
Answer:
270 s
Step-by-step explanation:
4 minutes = 240s
add the other 30s
boom