Factor the expression completely.
15x2 - 40x-15
Answer:
630
Step-by-step explanation:
15×2=30
40×(-15)=-600
30-(-600)=630
Arrange the following
numbers in order from least
to greatest.
96,432; 94,632; 96,342
Answer:
94,96,96,342,432,632
Step-by-step explanation:
Least to greatest
Find the circumference of a circle
with a diameter of 45.
Answer:
141.4 centimeters
Step-by-step explanation:
circumference = diameter * pi c = d * pi c = 45 * 3.1416 c = 141.4 (rounded)
Answer:
C= 141.37
Step-by-step explanation: go0gle
In 2015, Mrs. Dane paid $385 in Medicare taxes. This
represents 1% of her salary. What was Mrs. Dane's
gross income in 2015?
$38,500
$100,000
$3,850
Answer:
$38,500
Step-by-step explanation:
Take the $385, then divide it by the percentage you know, 1 percent (.01 as a decimal) 385/.01 = $38,500, which is your answer.
Hopefully this helps - let me know if you have any questions!
Write an expression to represent the area of the rectangle below in simplest form.
Given:
The length of the rectangle is:
[tex]l=x^2-x+3[/tex]
The width of the rectangle is:
[tex]w=4x+1[/tex]
To find:
The area of the given rectangle in the simplest form.
Solution:
We know that, the area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width of the rectangle.
Using the above formula, the area of the given rectangle is:
[tex]A=(x^2-x+3)\times (4x+1)[/tex]
[tex]A=x^2(4x)+x^2(1)-x(4x)-x(1)+3(4x)+3(1)[/tex]
[tex]A=4x^3+x^2-4x^2-x+12x+3[/tex]
[tex]A=4x^3-3x^2+11x+3[/tex]
Therefore, the area of the given rectangle is [tex](4x^3-3x^2+11x+3)[/tex] sq. units.
HELp MeEeeEEE!!!
I will give Brainliest!!
Answer:
1: the answer is 6x
2: its 39
Step-by-step explanation:
for 1 I I used 8 x X = 8x - 2 = 6x.
for 2 all I did was substrac 3 out of 42 which gave me 39
Good luck
How many solutions are there in the given equation?
y = 2x² + 6x + 4
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
2
+
6
+
4
=
0
2x^{2}+6x+4=0
2x2+6x+4=0
=
2
a={\color{#c92786}{2}}
a=2
=
6
b={\color{#e8710a}{6}}
b=6
=
4
c={\color{#129eaf}{4}}
c=4
=
−
6
±
6
2
−
4
⋅
2
⋅
4
√
2
⋅
2
x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}
x=2⋅2−6±62−4⋅2⋅4
brainliest and follow and thanks
HELP, thanks.... If a triangle has side lengths of 3 inches and 4 inches, what must be true of the third
side?
a. The third side must be greater than 7 inches
b. The third side must be equal to or greater than 7 inches
c. The third side must be less than 7 inches
d. The third side must be less than or equal to 7 inches
Answer:
In a triangle the sum of any two sides must be greater than the third side. We have 3+4=7 which is less than 8. So this triangle is never true.
b. The third side must be equal to or greater than 7 inches
Step-by-step explanation:
pleae mark this answer as brainlest
The figure shows five polygons: ABCDE, FGHIJ
, KLMNO, PQRST, and UVWXY.
Polygon
cannot be mapped onto the others by similarity transformations.
Answer:
PQRST
Step-by-step explanation:
This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.
Answer:
PQRST
Step-by-step explanation:
Derek has 4.8 pounds of potting soil and some flower pots. He puts 0.8 pound of soil in each pot, and he uses all of the soil. Derek draws this model to show how many flower pots he can fill.
Answer:
Derek uses 6 pots in total
Step-by-step explanation:
4.8/0.8 = 6
Can someone help me pls?
Answer:
[tex]sa = \pi {d}^{2} \\ = {6}^{2} \pi \\ = 36\pi \\ [/tex]
N=36
Answer:
Answer attached
Step-by-step explanation:
40 POINTS!! RIGHT ANSWERS ONLY PLEASE!!
The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent more than 4 days?
Probability Distribution
Days Absent: X 0 1 2 3 4 5
Probability: P(X) 0.78 0.14 0.03 0.01 0 0.04
A
0.25
B)0.04
C)0.004
D)0.05
Rian is packing toys in boxes. Each box is 3 inches by 4 inches by 6 inches. Each toy takes up 65% of the volume of the box, and the rest of the volume of the box is filled with foam packing beads. What is the volume, in cubic inches, of the foam packing beads used to fill each box
9514 1404 393
Answer:
25.2 in³
Step-by-step explanation:
The volume of the box is ...
V = LWH
V = (3 in)(4 in)(6 in) = 72 in³
__
65% of the box is filled with a toy, so the remaining 100% -65% = 35% is filled with packing beads. The volume of packing beads required is ...
0.35 × 72 in³ = 25.2 in³
25.2 in³ of foam packing beads are used to fill each box.
7. what is the measure of angle E?
Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?
Answer: 7 hours
Step-by-step explanation: Driving one kilometer per hour, all you have to do is divide 700/100 to get your answer which is seven.
What type of polynomial is this? 6x + 3
Answer:
Binomial
Step-by-step explanation:
A binomial has two terms. Each term consists of a coefficient, and a variable with an exponent. We can see the two terms:
6x (the exponent would be 1) + 3 (the variable and exponent would be x to the 0. Any variable to the power of 0 is equal to 1, which is why it's not shown)
Hi so i have a question that is..... A pool is in the shape of a right rectangular prism and has a volume of 192 cubic feet. The area of the base of the pool is 32 square feet. Could anyone help me?
Answer:
h = 6 feet
Step-by-step explanation:
Given that,
The volume of a right rectangular prism = 192 cubic feet
The area of the base of the pool is 32 square feet.
We need to find the height of the prism. We know that the volume of a right rectangular prism is given by :
[tex]V=lbh[/tex]
We have, V = 192 cubic feet, lb = 32 sq feet
So,
[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{192}{32}\\\\=6\ feet[/tex]
So, the height of the prism is equal to 6 feet.
!Help! Solve for x.
Answer:
x=7
Step-by-step explanation:
The "notches" on arc MN and arc PQ tell us that they're equal in length.
If they are, then the straight segments PQ and MN are equal too!
3x + 5 = 26
3x = 21
x = 7
write 4,193,538 in word form.
Answer:
four million, one hundred ninety three thousand, five hundred thirty eight
Step-by-step explanation:
Answer:
Four million, one hundred ninety-three thousand, five hundred thirty-eight
Step-by-step explanation:
What is the product of 3.8 x 102 and 6.4 x 10 expressed in scientific
notation?
Answer:
Wdym scientific notations?
Step-by-step explanation:
3.8 x 102 = 387.6
6.4 x 10 = 64
Find x in each triangle
Answer:
x = 8 cm
Step-by-step explanation:
Using the Pythagorean theorem:
x² = 10² - 6² = 100 - 36 = 64
x = √64 = 8
The length or value of x in the given right angle triangle will be 8 cm.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.
In a triangle, the sum of all three angles is 180°.
Given a right-angle triangle with
Hypotaneous = 10cm
Perpendicular = 6 cm
Base = x ( need to find out).
By Pythagoras theorem,
Base² = Hyp² - Perp²
Base² = 10² - 6²
Base² = 100 - 36
Base = √(64) = 8 cm
Hence the base of the given triangle will be 8 cm.
For more information about triangle
https://brainly.com/question/2773823
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A circle has a radius of 16 units. What is the area in square units of the circle in terms of pi
Step-by-step explanation:
area= (pi)r^2
a = (pi)×16^2
a= 256pi square units
Find a
a.
Round to the nearest tenth:
27 cm
102°
28
Answer:
44.1
Step-by-step explanation:
Need help ASAP
Plz last question
Answer:
The answer is A
Step-by-step explanation:
Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils
Answer:
A) 5 notebooks, 10 pencils
Step-by-step explanation:
n = notebook
p = pencil
1.97n + 1.16p = 21.45
A)✅
1.97(5) + 1.16(10) = 21.45
9.85 + 11.6 = 21.45
21.45 = 21.45
B) ❌
1.97(3) + 1.16(12) = 21.45
5.91 + 13.92 = 21.45
19.83 = 21.45
A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches.
What is the approximate volume of the basketball in cubic inches?
Answer:
434.9
Step-by-step explanation:
The circumference is 29.53.
Hope that this helps!
how do I solve x-11/2<-7
Answer:
x < -3
Step-by-step explanation:
1. multiply both sides by 2
2. isolate the x by adding 11 to both sides
3. simplify
(i have included an attachment showing the work for clarification)
Show work please! Herald is keeping track of eagles. To do so, he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were tagged. Find the best estimate for the Eagle
population?
Answer:
188
Step-by-step explanation:
16/120=0.133
0.133 times 100=13.3%
this means 25 eagles is only 13.3% of the population
therefore 25/0.13=188
Which of these lengths CANNOT represent the sides of a triangle? {28, 30, 58} {32, 34, 60} {13, 20, 27} {2, 4, 5}
Answer:
[tex]A.\ {28, 30, 58}[/tex]
Step-by-step explanation:
Required
Which of the lengths do not form a triangle
To do this, we make use of triangle inequality theorem which states that.
[tex]a + b > c[/tex]
[tex]b + c > a[/tex]
[tex]a + c > b[/tex]
Where [tex]a,\ b\ and\ c[/tex] are the sides of the triangle.
So, we have:
[tex]A.\ {28, 30, 58}[/tex]
[tex]28 + 30 > 58[/tex] --- False
[tex]58 + 30 > 28[/tex] --- True
[tex]28 + 58 > 30[/tex] --- True
[tex]B.\ {32, 34, 60}[/tex]
[tex]32 + 34 > 60[/tex] -- True
[tex]32 + 60 > 34[/tex] -- True
[tex]34 + 60 > 32[/tex] -- True
[tex]C.\ {13, 20, 27}[/tex]
[tex]13 + 20 > 27[/tex] -- True
[tex]13 + 27 > 20[/tex] -- True
[tex]20 + 27 > 13[/tex] --- True
[tex]D.\ {2, 4, 5}[/tex]
[tex]2 + 4 > 5[/tex] --- True
[tex]2 + 5 > 4[/tex] -- True
[tex]5 + 4 > 2[/tex] --- True
From the computations above, only (A) cannot form a triangle
There are 320 students in a school. 16 come to school by car. 96 walk to school. Estimate the probability that a particular student: a arrives by car b walks to school c does not walk to school d does not walk or come by car.
Answer:
a. The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.
b. The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.
c. The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.
d. The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:
a. Number of favorable cases= number of students that arrive by car= 16
So: [tex]P(A)=\frac{16}{320}[/tex]
P(A)=[tex]\frac{1}{20}[/tex] = 0.05, which equals 5%
The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.
b. Number of favorable cases= number of students that walk to school= 96
So: [tex]P(A)=\frac{96}{320}[/tex]
P(A)=[tex]\frac{3}{10}[/tex] = 0.3, which equals 30%
The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.
c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students
So: [tex]P(A)=\frac{224}{320}[/tex]
P(A)=[tex]\frac{7}{10}[/tex] = 0.7, which equals 70%
The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.
d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students
So: [tex]P(A)=\frac{208}{320}[/tex]
P(A)=[tex]\frac{13}{20}[/tex] = 0.65, which equals 65%
The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.