Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.
he needs to buy a total of 81 tires to finish the job
Answer:
94 tires
Step-by-step explanation:
He would be able to change 5 cars, but would need to buy 94 more tires.
I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.
Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes. If this pattern continues, how many minutes will she run on day 12?
Answer:
130
Step-by-step explanation:
:0
Mrs. Dominguez asked her students to plot the number of books they read over the summer.
Using the dot plot, how many students read two books?
1
2
3
6
Answer:
6
Step-by-step explanation:
Answer:
6 students read 2 books
PLEASE HELP image below
Answer: 73
Step-by-step explanation:
[tex]7d^2+10\\d=3[/tex]
[tex]7(3)^2+10\\7(9)+10\\63+10\\73[/tex]
Answer:
73
Step-by-step explanation:
d =3
-> 7 * [tex]3^{2}[/tex] + 10 = 7*9 +10 = 63+10 = 73
Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j
Answer:
w·v = -87
Step-by-step explanation:
The projection of a vector on another vector is given by the dot product between the vectors.
Thus, you calculate the dot product between w and v:
[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]
So, the projection of w on v is -87
Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.
If Horace gives the driver a $20 bill, how much change should he ask for?
Answer:
$5.94
Step-by-step explanation:
12.78 + 10% (1.28) = 14.06
20.00 - 14.06 = 5.94
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the vertex of the parabola? *
Answer:
vertex is (-4,-6)
Step-by-step explanation:
put x+4=0
x=-4
when x=-4
f(x)=-6
Answer:
(-4,-6)
Step-by-step explanation:
Factor the polynomial expression 16y4 - 256x12.
Answer:
[tex]16y^{4} -256x^{12} =16(y^{4} -16x^{12})\\ 16[(y^{2})^{2}-(4x^{6})^{2} ]\\ =16(y^{2} -4x^{6})(y^{2} +4x^{6}) \\\\=16(y^{2} -(2x^{3})^{2}) (y^{2} +4x^{6}) \\=16(y-2x^{3})(y+2x^{3}) (y^{2} +4x^{6}) \\[/tex]
Step-by-step explanation:
Answer:
16y4 - 625x4 = (4y2 + 25x2)(2y + 5x)(2y-5x)
Step-by-step explanation:
dis right
Taylor has a box that contains 3 pennies, 5 nickels, and 2 quarters. If she chooses a coin out of the box without looking, and then without replacing it draws a second coin, what is the probability that both coins will be quarters?
Answer:
1/45
Step-by-step explanation:
There is 10 total coins and only 2 are quarters so that's 2/10 but one is taken out so now its 1/9 because we think its a quarter. Multiply 2/10 x 1/9 and you get 2/90 simplify it and you get 1/45
A cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 2 cm. At most how many packages of sand can the artist use without making the vase overflow? Use 3.14 for pi.
The artist can use at most
nothing packages without making the vase overflow.
Answer:
52
Step-by-step explanation:
what is a=1/4 b if b is the subject?
Answer:
b = 4a
Step-by-step explanation:
Given
a = [tex]\frac{1}{4}[/tex] b
Multiply both sides by 4 to clear the fraction
4a = b
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
300 Backpacks each week]
Step-by-step explanation:
dont have an explanation srry but the answer is totally 300 backpacks a week
Answer:
30
Step-by-step explanation:
3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.
B.The water in the tank is increasing at a rate of 10 gallons per minute.
C.The water in the tank is decreasing at a rate of 2 gallons per minute.
D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL
Answer:
c because 10gallons per min is to much
Step-by-step explanation:
The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given table shows a linear relationship between the amount of water in a tank and time.
From the table we have (0, 30), (5, 20) and (10, 10).
Now, slope m=(20-30)/(5-0)
m= -2
Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get
30=-10(0)+c
c=30
Now equation is y=-2x+30
Here, the water in the tank is decreasing at a rate of 2 gallons per minute.
Therefore, option C is the correct answer.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
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A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d
Answer:
27
Step-by-step explanation:
180 is always the total of the triangle measurements. Therefore,
180-(91+62)=27
Answer:
27°
Step-by-step explanation:
A triangle is 180 degrees
So you begin with what you know 91 degrees and 62degrees
So 180-91-62=27degrees
So your answer is 27degrees
what’s the answer for this question
Answer:
84 Square Inches.
Area = Side length x Side length
Look at the attached picture
Hope it will help you
Factor the perfect square trinomial 25x^2-60x+36
Since it is a perfect square trinomial, it is of the form:
a^2x^2-2abx+b^2 which simplifies to (ax-b)^2
Therefore:
sqrt(a)=sqrt(25)=5
sqrt(b)=sqrt(36)=6
Plug in a and b:
(ax-b)^2
(5x-6)^2
Test to make sure it did fit the formula:
-2abx=-60 (where x is 1)
-2(5)(6)=-60
-2(30)=-60
-60=-60
Answer:
(5x-6)^2
3+ 3 =
7+ 8 =
25 X 2 =
Answer:
6, 15, 50
Step-by-step explanation:
common sense.
3 + 3 =6
7 + 8= 15
25× 2=50
Hope it will be helpful for you.
the circumference of a circle is 16tt inches what is the radius of the circle
On Earth you weigh 54.5 kilograms, while on the moon you weigh 9,071 grams. How many more grams do you weigh on Earth than on the moon?
Derek is planning on covering an entire drum in leather. The diameter of the drum is 10 inches, and the height of the drum is 16 inches. What is the minimum amount of leather that Derek will need to cover the drum?
Answer: 694.4 in^2
Step-by-step explanation:
We have a cylinder with:
diameter = d = 10 inches
heigth = h = 16 inches.
The total surface of a cylinder is equal to:
S = h*2*pi*(d/2) + 2*pi*(d/2)^2
we can replace the numbers and get:
S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared
Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!
Let's manipulate the expression a little bit and see what we come up with: we have
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]
We can simplify the fraction as
[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]
Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as
[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]
So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).
In other words, we arrived to the desired conclusion:
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]
Determine the volume of the cylinder
Answer:
about 904.78
Step-by-step explanation:
πr^2h pi(6)^2 * 8
what is the slope of the line shown below?
Answer:3
Step-by-step explanation:
y=3x
Tien has six coins in her pocket. She has at
least one quarter, one dime, one nickel, and
one penny. Use an organized list to show
how many different ways Tien might have
more than 60¢.
Answer:
10 dimes
Step-by-step explanation: 10 cents x 6 = 60 cents
Which set of angles can form a triangle?
A: 2 acute and 1 right
B: 1 acute and 2 obtuse
C: 1 acute and 2 right
D: 1 acute, 1 right and 1 obtuse
Answer:
A: 2 acute and 1 right
Step-by-step explanation:
A triangle is a polygon that has 3 sides as well as three angles
Triangles can be can be classified based on their three sides as well as their three angles.
Based on their sides, we have 3 types of triangles.
1. Equilateral triangle: This means they have 3 equal sides.
2. Isoceles triangle: They have only 2 equal sides.
3. Scalene triangle: The 3 sides are not equal
Based on their angles, we have 3 triangles.
a. Acute triangle
b. Obtuse triangle
c. Right angle triangle.
One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
Answer:
The correct option is;
A: 2 acute and 1 right
Step-by-step explanation:
Here we have the definitions of the angles as follows;
The sum of angles in a triangle = 180°
An acute angle is an angle less than 90°
An obtuse angle is an angle more 90 ° but less 180°
A right angle triangle is an angle equal to 90°
∴ A right angle triangle is an angle = 90°
Therefore, we compare each of the options
A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible
B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°
C: 1 acute and 2 right = <90 + 90 + 90 > 180
D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180
Therefore, the only possible correct option is A.
What is the simplified form of - picture
Answer:
the answer and explanation are In the picture
hope this helps
please like and Mark as brainliest
Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?
Answer:
22 cupcakes
Step-by-step explanation:
13+15=28
50-28=22
Answer:
22 cupcakes
Step-by-step explanation:
First, let's find how many cupcakes he has already made.
He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.
13+15=28
So far, he has 28 cupcakes.
He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.
Subtract 28 from 50
50-28=22
So, he still has to make 22 cupcakes
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
help me idk how do do this ;-;
Answer:
idk either
Step-by-step explanation:
Garry is studying a square pyramid and wants to draw a net of the figure
to help determine its surface area. Which net represents a square pyramid?
Answer:
On this picture, it is b, but for edge, it is c
Step-by-step explanation:
Answer:
c but b in the pic
Step-by-step explanation: