Answer: [tex]27.6\ in.^3[/tex]
Step-by-step explanation:
Given
Length of Prism is [tex]l= 7.34\ in.[/tex]
The width of Prism is [tex]w=3.12\ in.[/tex]
The height of Prism is [tex]h=6\ in.[/tex]
The volume of a The height rectangular prism is given as
[tex]V=l\times w\times h[/tex]
Substituting values we get
[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]
Volume of storage [tex]V_s=165\ in.^3[/tex]
The difference in volume is
[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]
What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2?
(x + 7)/2 - (x + 4)/2 = (x + 7 - (x + 4)/2 = (x + 7 - x - 4)/2 = 3/2
In AVWX, XV
W X and mW
- 27°. Find m_X.
Answer:
m<X = [tex]126^{o}[/tex]
Step-by-step explanation:
From the given isosceles triangle, we have;
<W and <V as the base angles
So that,
m<W = m<V = 27 (base angles of an isosceles triangle are equal)
Thus,
m<X + m<V + m<W = 180 (sum of angles in a triangle)
m<X + 27 + 27 = 180
m<X + 54 = 180
m<X = 180 - 54
= 126
m<X = [tex]126^{o}[/tex]
Consider the polynomial function h(x) = -2x^5+ 8x^4
2x^2+15.
What is the end behavior of the graph of h ?
Answer: B
Step-by-step explanation:
Applying limits, it is found that the end behavior of the graph is:
B. As [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex].
The function is:
[tex]h(x) = -2x^5 + 8x^4 - 2x^2 + 15[/tex]
To find the end behavior, we apply the limits as x goes to infinity, in which just the term with the highest exponent is considered, hence:
[tex]\lim_{x \rightarrow -\infty} h(x) = \lim_{x \rightarrow -\infty} -2x^{5} = -2(-\infty)^5 = -2(-\infty) = \infty[/tex]
Then, as [tex]x \rightarrow -\infty, h(x) \rightarrow \infty[/tex]
[tex]\lim_{x \rightarrow \infty} h(x) = \lim_{x \rightarrow \infty} -2x^{5} = -2(\infty)^5 = -2(\infty) = -\infty[/tex]
Then, as [tex]x \rightarrow \infty, h(x) \rightarrow -\infty[/tex]
Hence, option B is correct.
A similar problem is given at https://brainly.com/question/24248193
PLEASE HELP!!! Find the value of the variable.
9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
Each morning, Lena leaves her house at 6:15 A.M. It takes Lena 5 minutes to walk to the bus stop. Lena rides the bus for 20 minutes and then walks 5 minutes to her office. What time does Lena arrive at work?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Will give brainiliest
Answer:
6:45
Step-by-step explanation:
5 minutes + 20 minutes +5 minutes= 30 minutes
Answer:
6:45 A.M.
Step-by-step explanation:
6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.
Stay safe! <3
Look the the question below
Answer:
-40°
Step-by-step explanation:
-13° + -7° = -20°
-20° + -3° = -23°
-23° + 5° = -28°
-28° + -12° = -40°
Answer:
- 13 - 7 + 5 -12
-30/5= -6
Step-by-step explanation:
sum of all observation/total observation
(-13-7+5-12)/5
-30/5
-6
Mario walked at a rate of
mile every minutes.
What was his walking rate in miles per hour?
A.) 4
B) 6 2/3
C) 9
D) 15
WHAT IS IT???????
I need help please and thank you
Answer:
4
Step-by-step explanation:
The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.
Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.
Solving that equation will give you b=-7
That means the y-intercept is -7.
The equation would then be y=4x-7
The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equals, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8
Answer:
-2.8 is correct
Step-by-step explanation:
Mrs. Williams put $500 into a retirement account that earns 4% interest. How long will it take for there to be $3,500?
I guess 7 years or 28 months (I think 28 months )
Find the surface area of a square pyramid with side length 5 ft and slant height 7 ft.
5 ft
5 ft
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:5x5=25 fts
4(1/2 x 5ft x7 ft) = 70 fts
Add them up and you get
Answer= 95fts
Step-by-step explanation:
On a coordinate plane, a circle has a center at point (negative 6, 4).
What is the equation of the circle shown in the graph?
Answer:
[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]
Answer:
1:x+6 2:y-4 3:36
Step-by-step explanation:
just did it :)
For brainiest:):):):)
Answer:
11.a 2/3rd grams of protein
11.b 2.5 cups
12. for every gram of protein there is 2.5 cups of cereal
Step-by-step explanation:
what is the value of a? what is the value of b?
Answer:
b=18, a=9√3
Step-by-step explanation:
30-60-90 rule
Match the correct volume equation to each 3-D figure.
Answer:
no image sry cant haelp
Step-by-step explanation:
On a hot summer day, Nora and her friends decided to have a water fight. They threw water balloons for 1 hour. When all the water balloons were gone, they sprayed water with hoses for 30 minutes. The water fight ended at 1:45 P.M. when Nora's dad showed up with ice cream. What time did the water fight start?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
will give brainilest
Answer: 12:15 pm
Step-by-step explanation:
They had a balloon fight for 1 hour
They played in the hose for 30 minutes
The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time
What is the value of x?
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
It cost $2 plus $1.12 per mile to take a taxi. If you have
$10, what is the maximum distance you can travel? (please
round to the tenth place)
Answer:
2+1.12x=10 minus 2 on each side 1.12x = 8 divide 1.12 to each side is 7.14 miles rounded up on the tenth place
plz help
this is also timed and sorry that the screen looks like this:(
Answer:
2 hours, 15 minutes
B.
Step-by-step explanation:
3:30 to 5:30 is 2 hours elapsed time.
5:30 to 5:45 is 15 minutes elapsed time.
2 hrs + 15 mins =2 hrs 15 mins.
Answer:
2 hours and 15 minutes
Step-by-step explanation:
You subtract 5:45 - 3:30 = 2:15
Hope I helped
2 x minus 4 y = 8. x + y = 7.
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
FD ≈ 252.8 feet
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(20°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(20°) = [tex]\frac{EF}{FD}[/tex]
0.36397 = [tex]\frac{92}{FD}[/tex]
FD = [tex]\frac{92}{0.36397}[/tex]
FD = 252.77
FD ≈ 252.8 feet
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
What is the domain of the function
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:
[tex]\frac{1}{3}x+2\geq 0[/tex]
Solving this inequality, we get:
[tex]\frac{1}{3}x+2\geq 0[/tex]
[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])
[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
You're getting a pay raise! You are going to be making $9 per hour plus a $100 bonus. You will make a total of $190 every day. I need the answer asap
Answer:
x=10
Step-by-step explanation:
y=mx+b
y=9x+100
190=9x+100
x=10
Answer:
9x + 100 = 190
Step-by-step explanation:
Where x is hours.
59:40 Vance ate a salad and at a turkey burger for dinner. The salad contained 20 calories and his entire meal contained a calories. Which equation can be used to determine the number of calories in the entire turkey burger? 440 - 4x=80 80---440 440 - (20)
Answer:
123
Step-by-step explanation:
Shade 1/4 of this figure
Answer:
shade 2 triangles
Step-by-step explanation:
2/8 is the same as 1/4.
Answer:
Shade any two pieces
Step-by-step explanation:
2/8 simplified (by cancelling out) is equal to 1/4.
What happens when the y-intercept is greater than 1?
What happens when the y-intercept is less than 1?
Answer:What happens when the y-intercept is greater than 1?: more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept. This function never crosses the y-axis because, since you can't divide by zero, it is undefined at x=0.
Step-by-step explanation:
9514 1404 393
Answer:
The graph intersects the y-axis above the point (0, 1)The graph intersects the y-axis below the point (0, 1)Step-by-step explanation:
Nothing special happens when the y-intercept is above or below the value of 1. The y-intercept is where the function's graph intersects the y-axis.
When the y-intercept is greater than 1, the graph intersects the y-axis above the point (0, 1).
When the y-intercept is less than 1, the graph intersects the y-axis below the point (0, 1).
__
The meaning of the y-intercept will depend on what the graph is modeling. No information about that is provided here.
Write the equation of the
line in slope intercept form
that contains the points
(-3,-2) and (-2,3).
Answer:
y=5x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-2))/(-2-(-3))
m=(3+2)/(-2+3)
m=5/1
m=5
y-y1=m(x-x1)
y-(-2)=5(x-(-3))
y+2=5(x+3)
y=5x+15-2
y=5x+13
Answer:
y = 5x + 13
Step-by-step explanation:
Slope = delta y/ delta x
(3-(-2))/(-2-(-3))
(5)/(1) = 5
Slope = 5
y = 5x + b
Find the y-intercept through substitution:
(-2,3)
3 = 5(-2) + b
3 = -10 + b
13 = b
Equation:
y = 5x + 13