Answer:
[tex] {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number[/tex]
The value of the expression 4¹ will be equal to 4.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"
It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that the exponential number is 4¹. The value of the exponent will be calculated as,
E = 4¹
E = 4
From the law of exponents, the value of 4¹ will be 4.
To know more about an exponential expression follow
https://brainly.com/question/2456547
#SPJ2
8. A company sells a product for $15.99 each.
The expenses to make the product this month
totaled $25,000. If they make a profit of $5,381
this month, how many products did they sell?
Answer:
the company made 1900 products
Step-by-step explanation:
add the expenses and profit together to get 30381 and divide it by 15.99 since each item sells for 15.99 and you get 1900 products sold
How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?
The selection of the committee members is an illustration of combination
There are 150150 different ways of selecting the committee
How to determine the total selectionThe number of members (n) is:
n = 15
The members on the committee are (r):
r = 4
So, the number of selection is:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^{15}C_4 = \frac{15!}{(15 - 4)!4!}[/tex]
Evaluate the differences
[tex]^{15}C_4 = \frac{15!}{9!4!}[/tex]
Expand
[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}[/tex]
This gives
[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}[/tex]
[tex]^{15}C_4 = 150150[/tex]
Hence, there are 150150 different ways of selecting the committee
Read more about combination at:
https://brainly.com/question/12468032
What is the area of a semi-circle with a diameter of 12cm
Answer:
56.52 cm²
Step-by-step explanation:
Equation = ½ pi r²
So...
= ½ pi r²
= ½×3.14×6×6 (Replace 3.14 in Pi and replace 6×6 in r²)
= 1.57×36
= 56.52 cm²
Pls mark me Brainliest. I need it.
if you answer i will give you brainliest and heart and make your popularity go up and stuff
A surveyor asked 250 residents of a town with a population of 15,000 on whether they fish in any of the town's lakes. 95 people answered "yes" to the question.
How many people would be expected to answer "yes" given the entire population was surveyed?
Enter your answer in the box.
Answer:
9300
Step-by-step explanation:
If two cards are drawn from a regular shuffled deck, what is the probability that both cards will be diamonds?
Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation:
Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20
(b) x2 - 4x - 20
(c) x2 - x - 20
(d) x2 + x - 20
[tex]\small\bold{(x – 4)(x + 5) }[/tex]
[tex]\small\bold{ → x(x + 5) -4(x + 5) }[/tex]
[tex]\small\bold{→ x2 + 5x – 4x – 20 }[/tex]
[tex]\small\bold{ → x2 + x - 20 }[/tex]
Option (d) x2 + x - 20 is correct
» Multiply: (x – 4)(x + 5)
(a) x² + 5x - 20(b) x² - 4x - 20(c) x² - x - 20(d) x² + x - 20[tex] \mathbb{ANSWER:}[/tex][tex]\tt \color{hotpink} \bold{{x}^{2} + x- 20}[/tex]
— — — — — — — — — —
Solution:[tex]\tt \bold{ F} \to (x – 4)(x + 5) = \blue{ {x}^{2} }[/tex][tex] \tt \bold{O } \to (x – 4)(x + 5) = \blue{ 5x}[/tex][tex] \tt \bold{ I} \to(x – 4)(x + 5) = \blue{ -4x}[/tex][tex] \tt \bold{L } \to (x – 4)(x + 5) = \blue{ - 20} [/tex]So,
[tex] \to \: \tt x {}^{2} + 5x - 4x - 20 \\ \tt \: = \underline{ \boxed{ \purple{ \tt{ {x}^{2} + x - 20 }}}}[/tex]
Hence, choice D is correct.
_______________❦︎_______________
Rick and Laurie have three dogs. Diesel weighs 89 pounds 12 ounces. Ebony weighs 33 pounds 14 ounces less than Diesel. Luna is the smallest at 20 pounds 2 ounces. What is the combined weight of the three dogs in pounds and ounces?
Let's get all of the dogs weights displayed:
Diesel: 89 Pounds 12 Ounces
Ebony: 55 Pounds 14 Ounces
Luna: 20 Pounds 2 Ounces
Total Pounds: 164
Total Ounces: 28
Total Weight: 165 Pounds and 12 Ounces
100 points!!! please help me it's about finding the area of this triangle in the picture!!
Answer:
198 sq cm
Step-by-step explanation:
[tex]A(trapezoid) = \frac{1}{ \cancel 2} (21 + 12) \times \cancel{12} \\ \\ =33 \times 6 \\ \\ = 198 \: {cm}^{2} [/tex]
Answer: 198
Step-by-step explanation:
add the bases together which is 12 + 21 = 33 and the heigh is 12 which mean u multiply the base andheight and its 198 because the answer that is not divided has to be divided by 2
Please answer
Solve for the missing angles
1=
2=
3=
4=
Answer:
correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Find the center and radius of a circle that has a diameter with the given endpoints.
(7, -5) and (-1, 10)
Answer:
center: (3, 2.5)radius: 8.5 unitsStep-by-step explanation:
The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.
The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.
__
Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)
Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289
= 17/2 = 8.5
The center of the circle is (3, 2.5), and the radius is 8.5 units.
__
Additional comment
The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.
Find the area.
You must show all work to get full credit. Don't forget to label your answer.
THEN
Find the perimeter.
You must show all work to get full credit. Don't forget to label your answer.
help pls i have been stuck for long time
Answer:
Exponent rules
[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]
[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]
[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]
a) Use product rule:
[tex]3^2 \times 3^x=3^{(2+x)}[/tex]
[tex]\implies 3^{(2+x)}=3^7[/tex]
[tex]\implies 2+x=7[/tex]
[tex]\implies x = 5[/tex]
b) Use quotient rule:
[tex]7^8 \div 7^y=7^{(8-y)}[/tex]
[tex]\implies 7^{(8-y)}=7^6[/tex]
[tex]\implies 8-y=6[/tex]
[tex]\implies y=2[/tex]
c) Use power rule:
[tex](q^4)^z=q^{(4z)}[/tex]
[tex]\implies q^{(4z)}=q^{12}[/tex]
[tex]\implies 4z=12[/tex]
[tex]\implies z=3[/tex]
?????????????????????????????????????????????????????????????????????????
Answer:
in explanation
Step-by-step explanation:
as the question told you, if there're 5 counselors, there's a maximum for students of 15. and for 15 counselors, there's a maximum for students of 45. we can easily see that every one counselor can only have 3 students. therefore, you should draw each dot with respect to the counselors' amount, but because two points determine one line, all you need to do is draw (5,15), (15,45) and line them from 0 to 50.
Find the midpoint of the line segment with end coordinates of: (−4,−2) and (−2,−10).
Please answer. If answer question you get 20 points
Answer:
-3,-6
Step-by-step explanation:
(x+x)/2,(y+y)/2=midpoint
(-4+-2)/2,(-2+-10)/2=(-3,-6)
Answer=(-3,-6)
Answer: negative 3 comma and negative 6
Step-by-step explanation:
Please help me and explainn !!!!!
Answer:
Step-by-step explanation:
the first one is 2
Greg has a bank account balance of $350. He starts a new job and begins saving $50 per week.
Write a function, G, to model the amount of money Greg has in his bank account after x weeks.
Answer:
G=50x+350
Step-by-step explanation:
Find the area of the circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
Area ≈ 1256 [tex]in^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a circle is [tex]\pi r^{2}[/tex]
the diameter of this circle is 40 inches. The radius is half of that, 20 inches.
[tex]\pi 20^{2}[/tex] = [tex]400 \pi[/tex]
[tex]400\pi[/tex] ≈ 1256
Area ≈ 1256 [tex]in^{2}[/tex]
can someone please help me with this question I'm not really good with graphs
Answer: (2, 4)
Step-by-step explanation:
This is the point where the graphs intersect.
HEELLPP HURYY PLEASE
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = -6x + 2
B. y = -6x - 2
C. y = -2x + 6
D. y = -2x - 6
Answer:
D) y = -2x - 6
Step-by-step explanation:
Given:
[tex]\mathsf{(x_1,y_1)=(3,-12)}[/tex][tex]\mathsf{(x_2,y_2)=(-3,0)}[/tex][tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0--12}{-3-3}=-2}[/tex]
Using the point-slope form of a linear equation: [tex]\mathsf{y-y_1=m(x-x_1)}[/tex]
[tex]\implies \mathsf{y-(-12)=-2(x-3)}[/tex]
[tex]\implies \mathsf{y=-2x-6}[/tex]
Find the 86th term of the arithmetic sequence 18,21,24
Answer:
273
Step-by-step explanation:
plssss helppp i have a test tomorrow
Answer:
2 ft³
Step-by-step explanation:
Volume of a box = length × width × height
Length = 1 ft
width = 1 ft
height = 2 ft
Volume = 1 × 1 × 2 = 2 ft³
Sean packs 15 pounds of nuts in bags. Each bag has 1/4 pound of
nuts. Which equation shows the number of bags Sean packed with
all the nuts?
A. 15 divided by 1/4 = 15/4
B. 13 x 1/4 = 15/4
C. 15 x 1/4 = 60
D. 15 divided by 1/4 = 60
Answer:
15 multiply by quarter is equal yo 60
what is the formula of a square + b square
Triangle P Q R is shown. Angle P Q R is a right angle. The length of Q R is p, the length of R P is q, and the length of P Q is r. Which sine ratios are correct for ΔPQR? Check all that apply.
A. sin (P) = StartFraction r Over q EndFraction
B. sin (P) = StartFraction p Over q EndFraction
C. sin (Q) = StartFraction r Over p EndFraction
D. sin (R) = StartFraction q Over r EndFraction
E. sin (R) = StartFraction r Over q EndFraction
Step-by-step explanation:
answer is in the picture
Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.
To determine the correct sine ratios for ΔPQR, let's recall the definitions of sine for each angle in a right-angled triangle.
In a right-angled triangle ΔPQR:
1. sin(P) = opposite side / hypotenuse = r / q (Correct) [By definition of sine in a right triangle, sin(P) = opposite/hypotenuse]
2. sin(Q) = opposite side / hypotenuse = r / p (Correct) [By definition of sine in a right triangle, sin(Q) = opposite/hypotenuse]
3. sin(R) = opposite side / hypotenuse = q / r (Correct) [By definition of sine in a right triangle, sin(R) = opposite/hypotenuse]
Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.
Learn more about right-angled triangle here
https://brainly.com/question/21472842
#SPJ2
please help asap!!!!
Answer:
y = 3 + the square root of 2.
Step-by-step explanation:
message me if you have any other math questions
What are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and (0,6)
Step-by-step explanation:
The Solutions are the Points of Intersect
which are (-3,-3) and (0,6)
The supplement of an angle is 42° more than the
angle. Find the angle.
Answer:
what do u mean
Step-by-step explanation:
-7(-v-2w+3) use the distributive property to remove the parentheses.
what can i add 1.2 with to get 11.2
Please help! BRAINLIEST AWARD!
Answer:
88
Step-by-step explanation:
201+201+104+104
=610
610-577
=88